-5*h + k*f + 110 = -3*f, 2*f = -h + 7. Factor 2*y - 15 + y + h - y**3.
-(y - 2)*(y + 1)**2
Let v = 38 - 35. Factor 2/9 + 0*j**v - 4/9*j**2 + 0*j + 2/9*j**4.
2*(j - 1)**2*(j + 1)**2/9
Let a = 12 + -7. Let t(v) = -3*v**3 - 2*v. Let w(f) = -8*f**3 - 6*f. Let d(n) = a*w(n) - 14*t(n). Factor d(y).
2*y*(y - 1)*(y + 1)
Let y be 15 - 6/4*2. Factor 36 + y*m + 6*m + 15*m + 4*m**2 - 9*m.
4*(m + 3)**2
Let k(c) be the third derivative of -5*c**8/2184 + 2*c**7/1365 + 10*c**2. Find u such that k(u) = 0.
0, 2/5
Let t(n) = 7*n - 11 + n**2 - 3*n + 4. Let j be t(-6). Factor -5*g**5 - 5*g**5 + 4*g**j + 3*g**5 + 9*g**4 - 9*g**3 + 3*g**2.
-3*g**2*(g - 1)**3
Let y = 4523/6900 - 15/23. Let v(b) be the third derivative of 0 + 0*b**3 + y*b**6 + 1/525*b**7 + 0*b**4 - b**2 + 0*b + 0*b**5. What is r in v(r) = 0?
-1, 0
Suppose -15*h + 12 + 3/2*h**2 + 3/2*h**3 = 0. Calculate h.
-4, 1, 2
Let j(n) = n**3 - 4*n**2 - 5*n + 4. Let r be j(5). Suppose r*u - 3*u = 0. Suppose -5/3*t**5 + u - t**2 + 7/3*t**3 + t**4 - 2/3*t = 0. Calculate t.
-1, -2/5, 0, 1
Let n(y) = y**2 + 6*y + 6. Let w be n(-6). Suppose -3*j = -6*j + w. Factor -4*v + 3*v + 3*v**3 + 0*v**3 + j*v**2.
v*(v + 1)*(3*v - 1)
Let z(k) = 11*k + 33. Let o be z(-3). Factor 0 - x**4 + o*x + 1/2*x**3 + 0*x**2.
-x**3*(2*x - 1)/2
Let c(o) be the third derivative of -o**5/300 + o**4/40 + 2*o**3/15 - 14*o**2. Factor c(z).
-(z - 4)*(z + 1)/5
Let r(f) = f**2. Let u(t) = 14*t**2 + 12*t + 16. Let c(o) = -12*r(o) + u(o). Factor c(k).
2*(k + 2)*(k + 4)
Suppose 6*n**5 + 4/3*n + 14*n**4 + 0 + 2/3*n**3 - 6*n**2 = 0. What is n?
-2, -1, 0, 1/3
Suppose -4*u = b + 21, -3 + 2 = b. Let t = -3 - u. Let -w**3 + t*w + 3*w**3 - 4*w = 0. What is w?
-1, 0, 1
Let c(r) be the first derivative of -r**5 + 15*r**4/4 + 5*r**3/3 - 15*r**2/2 + 11. Solve c(g) = 0.
-1, 0, 1, 3
Let w(a) be the first derivative of a**6/240 - a**5/120 + a**2 - 3. Let s(r) be the second derivative of w(r). Suppose s(j) = 0. What is j?
0, 1
Let m(z) be the first derivative of 2*z**6/15 - 28*z**5/25 + 77*z**4/20 - 104*z**3/15 + 69*z**2/10 - 18*z/5 + 14. Let m(f) = 0. Calculate f.
1, 3/2, 2
Let v(p) = -2*p**4 - 10*p**3 - 2*p**2 + 3. Let w(n) = 3*n**4 + 9*n**3 + 2*n**2 - 2. Let t(o) = o - 1. Let u be t(-1). Let g(k) = u*v(k) - 3*w(k). Factor g(z).
-z**2*(z + 1)*(5*z + 2)
Let x(t) = -t**3 + t. Let o(b) = -6*b**3 + 10*b**2 - 20*b. Let z(q) = o(q) - 5*x(q). Find g such that z(g) = 0.
0, 5
Suppose -3*j**2 - 23 - 10*j - 8*j - 1 = 0. What is j?
-4, -2
Let b be 3/6 + (-22)/(-4). Let g be -1*1*(b - 9). Suppose 2/9*t**g - 2/9*t - 2/9*t**4 + 0 + 2/9*t**2 = 0. What is t?
-1, 0, 1
Let p(i) = -9*i**3 - 15*i**2 - 33*i - 17. Let b(y) = -14*y**3 - 22*y**2 - 50*y - 26. Let t(n) = 5*b(n) - 8*p(n). What is h in t(h) = 0?
-3, -1
Let r = 72 + -69. Let f(j) be the first derivative of -25/9*j**r + 1 - 1/6*j**2 - j**4 + 2/3*j. Determine y so that f(y) = 0.
-2, -1/3, 1/4
Let y(c) = c. Let d be y(2). Suppose 0 = d*w - 7 + 3. What is h in -h**5 + 2*h**4 - h**2 - w*h**4 - 3*h**3 - 3*h**4 = 0?
-1, 0
Let o(p) = 2*p**2 - 4*p + 2. Let v(w) = -3*w + 2. Let t be v(-6). Let g(q) = -8 + t*q - 10*q**2 - 3 + 1. Let u(j) = 2*g(j) + 11*o(j). Factor u(h).
2*(h - 1)**2
Suppose -2*m + 257 = 257. Factor -4/3*n**2 + 0*n + 0 + n**4 + m*n**3 + 1/3*n**5.
n**2*(n - 1)*(n + 2)**2/3
Let a(r) be the second derivative of 3*r**5/80 - 3*r**3/8 + 3*r**2/4 + 2*r. Factor a(j).
3*(j - 1)**2*(j + 2)/4
Let j(p) be the third derivative of p**7/735 - p**6/140 + p**5/70 - p**4/84 + 3*p**2. Factor j(v).
2*v*(v - 1)**3/7
Let q(i) = -9*i**3 + 11*i**2 - 10*i - 8. Let b(r) = 17*r**3 - 23*r**2 + 20*r + 14. Let g(f) = -4*b(f) - 7*q(f). Factor g(z).
-5*z*(z - 2)*(z - 1)
Let w(s) = 12*s**2 + 27*s + 27. Let o(g) be the second derivative of -g**4/12 - g**3/3 - g**2 - 4*g. Let a(b) = -27*o(b) - 2*w(b). Let a(p) = 0. Calculate p.
0
Suppose -5*u + 8*u + 3 = 0. Let x be u/(-2) + (-2)/(-12). Factor 2/3*d + 4/3*d**2 - x*d**3 - 4/3.
-2*(d - 2)*(d - 1)*(d + 1)/3
Let o be (-6)/(-5)*8*255/1088. Factor -27/8 + o*v**2 + 0*v + v**3 + 1/8*v**4.
(v - 1)*(v + 3)**3/8
Let y(t) be the third derivative of 0*t - 1/21*t**3 + 1/84*t**4 - 1/420*t**6 - 5*t**2 + 1/210*t**5 + 0. Let y(c) = 0. Calculate c.
-1, 1
Determine h so that 8/9*h + 1/9*h**5 - 1/9*h**4 + 0 - 2/3*h**3 + 4/9*h**2 = 0.
-2, -1, 0, 2
Let v(o) be the first derivative of 10*o**2 + 8/5*o**5 - 8*o + 0*o**3 - 5*o**4 - 7. Solve v(f) = 0.
-1, 1/2, 1, 2
Let h be (8 + -10)*(3 + 136/(-44)). Factor -h*f**3 + 2/11*f**2 + 2/11*f - 2/11.
-2*(f - 1)**2*(f + 1)/11
Let c(y) = y**2 - 3*y - 2. Let z be c(4). Let a be (1 + -1)/(0 - z). Let -2*b**3 - 4*b**4 + a*b**2 + 2*b**5 + 2*b**2 + 2*b**4 = 0. Calculate b.
-1, 0, 1
Let f be ((-12)/(-54)*6)/((-10)/(-6)). Let n = -2 + 4. Solve 2/5 + 2/5*t**n + f*t = 0.
-1
Factor 21/5*y - 6/5*y**2 + 6/5 - 21/5*y**3.
-3*(y - 1)*(y + 1)*(7*y + 2)/5
Let t(m) be the first derivative of -m**5/60 + m**2/2 + 2. Let u(g) be the second derivative of t(g). Determine b, given that u(b) = 0.
0
Suppose 5*f = 0, -2*p + 5*f = -5 - 1. Let x(a) be the second derivative of 0*a**p + 0 + 1/7*a**2 - 1/42*a**4 + 2*a. Factor x(d).
-2*(d - 1)*(d + 1)/7
Let h(a) = -a + 15. Let l be h(7). Let b be (-1)/(-2)*196/l. Solve 9*s**2 + b*s**5 + 109/4*s**3 + 0 + s + 63/2*s**4 = 0 for s.
-1, -2/7, 0
Let m(p) = -p**2 + p. Let u(b) = 6*b**2 - 4*b. Let h(t) = 22*m(t) + 4*u(t). Let h(k) = 0. What is k?
-3, 0
Suppose -3*i + u = -6, 18 - 3 = i + 4*u. Determine x so that 0*x**2 + 0*x - 2/3*x**i + 0 - 2/3*x**4 = 0.
-1, 0
Suppose 4*d - 6 = 2*d. Suppose -f = d*f - 8. Let f*a**4 - 8/3*a**3 - 2/3 + 8/3*a - 4/3*a**2 = 0. Calculate a.
-1, 1/3, 1
Let r = -1119 - -1119. Factor 0*o - 1/9*o**4 + r - 1/9*o**2 - 2/9*o**3.
-o**2*(o + 1)**2/9
Let n be -1 - -1 - (-32)/64. Factor -3/2*q - n*q**2 + 0.
-q*(q + 3)/2
Let r be (-6)/5 - (-7)/35. Let j be 4/(-6) + r + 3. Solve 2/3*c + 0 + 2/3*c**3 + j*c**2 = 0.
-1, 0
Let t(w) be the third derivative of -9*w**7/280 + 11*w**6/120 - w**5/20 + 7*w**3/6 - w**2. Let v(b) be the first derivative of t(b). Factor v(x).
-3*x*(x - 1)*(9*x - 2)
Let m(l) be the first derivative of 3/20*l**4 + 6/5*l + 6 + 0*l**3 - 9/10*l**2. Solve m(d) = 0.
-2, 1
Factor -32/3*p - 2/3*p**3 + 0 - 16/3*p**2.
-2*p*(p + 4)**2/3
Let w be ((-22)/(-8) - 1/(-4))/1. Suppose 3/2*t - 1/2*t**4 - 3/2*t**w + 1 - 1/2*t**2 = 0. What is t?
-2, -1, 1
Let h(q) = 3*q**3 - q + 2*q - 1 - 4*q**3. Let l(a) = -8*a**3 + 2*a**5 - 4 + 2*a**5 - 2*a**5 + 6*a. Let d(r) = 4*h(r) - l(r). Factor d(v).
-2*v*(v - 1)**2*(v + 1)**2
Factor -2/3*t**2 + 10/3*t - 8/3.
-2*(t - 4)*(t - 1)/3
Let z be (6 + -1 + (-25)/5)/(-1). Factor 0 + 9/5*g**4 + 0*g**3 - 3/5*g**5 - 12/5*g**2 + z*g.
-3*g**2*(g - 2)**2*(g + 1)/5
Let i(x) be the second derivative of -3*x**5/140 - 3*x**4/14 - 9*x**3/14 - 14*x. Factor i(y).
-3*y*(y + 3)**2/7
Let a(h) be the second derivative of -75*h**7/7 + 49*h**6 - 859*h**5/10 + 139*h**4/2 - 24*h**3 + 4*h**2 + 33*h. Find s, given that a(s) = 0.
2/15, 1
Let a(z) be the second derivative of -5*z**4/12 - 5*z**3/6 + 19*z. Suppose a(w) = 0. What is w?
-1, 0
Suppose -2*k + 10 - 6 = 0. Solve 2/5*w**4 + 0*w**k + 0*w**3 + 0 + 0*w + w**5 = 0.
-2/5, 0
Let c(j) be the first derivative of -j**5/20 + j**4/4 - j**3/2 + j**2/2 - j/4 + 10. Factor c(w).
-(w - 1)**4/4
Let o be (3/27)/(245/40 - 6). Factor 2/9*z**2 - o*z + 8/9.
2*(z - 2)**2/9
Let q(n) = -n**3 + 10*n**2 - 8*n + 1. Let i be q(9). Solve i*j**4 + 2*j - 2*j + 20*j**2 - 10*j + 0 + 2 - 2*j**5 - 20*j**3 = 0.
1
Let l = -1 - -7. Suppose 0 - l = i - 3*r, 2*i + 2*r - 4 = 0. Factor -1/4*j**2 + i + 0*j.
-j**2/4
Let g(z) = -16*z**3 + 52*z**2 - 32*z - 12. Let x(h) = 1 - 2 + 1 - h**2. Let c(m) = g(m) - 8*x(m). Factor c(k).
-4*(k - 3)*(k - 1)*(4*k + 1)
Let v(t) be the first derivative of -2 - 2/3*t**4 + 2/3*t**2 - 8/9*t**3 + 4/15*t**5 + 4/3*t + 2/9*t**6. Factor v(o).
4*(o - 1)**2*(o + 1)**3/3
Let q(d) be the first derivative of -3/7*d**2 - 2/21*d**3 - 6 + 8/7*d. Let q(b) = 0. Calculate b.
-4, 1
Let h(y) = -y**3 - y**2 - y - 5. Let u be h(0). Let n be -4 + 1 + 0 - u. Determine c, given that 3*c + 0*c - n*c**2 - 2*c - 5*c = 0.
-2, 0
Let u(n) be the second derivative of 1/6*n**3 + 1/15*n**5 + 2*n + 1/180*n**6 + 0*n**2 + 1/3*n**4 + 0. Let m(h) be the second derivative of u(h). Factor m(p).
2*(p + 2)**2
Let i = -4769/13 - -367. Find u, given that -2/1