 r(g).
-3*g*(g - 1)
Let w(t) be the first derivative of 1/8*t**6 + 0*t**2 + 0*t**3 + 1/16*t**4 - 1/5*t**5 - 4 + 0*t. Factor w(x).
x**3*(x - 1)*(3*x - 1)/4
Let z(q) be the first derivative of -q**7/80 + q**6/48 + q**5/40 - 2*q**3/3 + 5. Let j(o) be the third derivative of z(o). Find u, given that j(u) = 0.
-2/7, 0, 1
Factor 1 + 2*d**2 + 2 + 1 - 6*d.
2*(d - 2)*(d - 1)
Factor -9 - 3*f - 381*f**2 + 0*f**3 + 3*f**3 + 390*f**2.
3*(f - 1)*(f + 1)*(f + 3)
Let a be 3/9*(-8 - -14). Let o(d) be the second derivative of 0*d**a - 2*d + 0*d**3 - 1/10*d**5 - 1/6*d**4 + 0. Factor o(u).
-2*u**2*(u + 1)
Let y = 49 + -45. Find l, given that -2/5*l**y + 0 + 0*l**3 + 0*l + 0*l**2 - 2/5*l**5 = 0.
-1, 0
Let b(n) be the second derivative of n**7/1680 - n**6/320 + n**5/160 - n**4/192 + 2*n**2 - n. Let l(o) be the first derivative of b(o). Factor l(x).
x*(x - 1)**3/8
Let k(u) be the first derivative of 0*u + 0*u**2 + 8 + 0*u**3 - 2/25*u**5 - 1/10*u**4. Factor k(m).
-2*m**3*(m + 1)/5
Factor 8/3 - 10*q**2 + 8/3*q.
-2*(3*q - 2)*(5*q + 2)/3
Let d(k) be the first derivative of -1/42*k**4 - 3 + 3*k - 2/7*k**2 - 1/7*k**3. Let o(a) be the first derivative of d(a). Solve o(x) = 0 for x.
-2, -1
Suppose -2*r - 2*o = -8, o = 2*r + 4*o - 9. Suppose -1/2*k + k**5 + 0 + 3/2*k**r - 5/2*k**4 + 1/2*k**2 = 0. Calculate k.
-1/2, 0, 1
Let m(q) = q**3 - 8*q**2 + 8*q - 4. Let k be m(7). Let p(d) be the second derivative of 1/16*d**4 + 1/8*d**2 + 0 - 1/8*d**k - d - 1/80*d**5. Factor p(j).
-(j - 1)**3/4
Let d(w) be the first derivative of w**4/3 - 2*w**2/3 - 8. Factor d(o).
4*o*(o - 1)*(o + 1)/3
Let z(m) = m**2 - m + 18. Let f be z(0). Suppose 2*w + w = f. Factor -2*x**2 - w*x - 8 - 2*x + 0*x.
-2*(x + 2)**2
Let q(v) = v**2 - 6*v + 4. Let a be q(6). Suppose -4*z = -4*l, -a*z + 0*z + 8 = 0. Find i, given that 0 + 4/7*i**l - 2/7*i**3 - 2/7*i = 0.
0, 1
Let r(h) be the third derivative of 0*h - 1/12*h**5 + 1/120*h**6 + 0 + 1/3*h**4 - 2*h**2 - 2/3*h**3. Solve r(v) = 0 for v.
1, 2
Let c be (-32)/(-55) - (-1 + (-26)/(-22)). Let -1/5*q**5 - c*q**2 + 2/5*q**3 + 1/5 + 1/5*q**4 - 1/5*q = 0. What is q?
-1, 1
Let y(v) = 2*v**2 + 7*v - 64. Let a be y(6). Let -180/7*l**2 + 16/7 + a*l**3 - 24/7*l = 0. Calculate l.
-2/7, 2/5
Suppose -4*x - 90 = 2*x. Let p be (-20)/(-8)*(-12)/x. Factor -2/3*r**p + 0*r + 2/3*r**3 + 0.
2*r**2*(r - 1)/3
Let l(b) be the second derivative of -b**7/98 + 3*b**5/35 + b**4/14 - 3*b**3/14 - 3*b**2/7 - 24*b + 1. Determine j, given that l(j) = 0.
-1, 1, 2
Let w(c) be the third derivative of -c**7/11340 - c**6/810 - c**5/135 + c**4/24 + c**2. Let k(p) be the second derivative of w(p). Factor k(r).
-2*(r + 2)**2/9
Let j(h) = h - 1. Let v(z) = z**2 + 6*z - 3. Let n(u) = -3*j(u) + v(u). Factor n(d).
d*(d + 3)
Let b be 3/(-12)*-2*(-6 - -7). Factor -y**2 + 0 + y**4 - 1/2*y**3 + b*y.
y*(y - 1)*(y + 1)*(2*y - 1)/2
Suppose 3*m + 0 - 9 = 0. Let y be m/14*(-8)/(-6). Find u, given that 0*u - y*u**2 + 2/7 = 0.
-1, 1
Let w(t) be the first derivative of t**3/12 + 3*t**2/8 - 1. Determine i so that w(i) = 0.
-3, 0
Factor 2/9*h + 0*h**4 + 0*h**2 + 2/9*h**5 + 0 - 4/9*h**3.
2*h*(h - 1)**2*(h + 1)**2/9
Let l(y) = 3*y**2 + 12*y + 11. Let o(u) = u**2 + u + 1. Let s(w) = -l(w) + 4*o(w). Let v be s(9). Factor 0 - 1/2*q**v - 1/2*q.
-q*(q + 1)/2
Let d be 13 - 2 - (-9)/(-3). Factor 0*k**2 - 6 + 12*k + d*k**2 + 10*k.
2*(k + 3)*(4*k - 1)
Let y(j) = 2*j + 16. Let i be y(-7). Factor l**i + 0*l**2 + l**3 - 2*l**2 + 1 - l.
(l - 1)**2*(l + 1)
Let q = 13 + -8. Suppose -4*y + n = y - 13, 4 = q*y + 2*n. Solve 0 - 2/3*z**3 - 1/3*z - z**y = 0 for z.
-1, -1/2, 0
Let v(z) be the second derivative of z**7/21 - z**6/15 - z**5/10 + z**4/6 - 24*z. Find g, given that v(g) = 0.
-1, 0, 1
Factor -3 + 4*y**2 - 4 + 3 - 6*y**3 + 6*y.
-2*(y - 1)*(y + 1)*(3*y - 2)
Let p(n) = n**3 - 7*n**2 + 4*n + 18. Let r be p(6). Factor -3/2*c**5 - r*c**4 - 15/2*c**3 + 0*c - 3*c**2 + 0.
-3*c**2*(c + 1)**2*(c + 2)/2
Let m(a) = -a**3 - a**2 + 22*a - 6. Let u be m(4). Let 0 + 1/2*y**3 + 0*y**u - 1/2*y = 0. Calculate y.
-1, 0, 1
Factor -4/5*w**2 + 0 + 0*w - 4/5*w**3.
-4*w**2*(w + 1)/5
Suppose 5/3*v - 5/3*v**3 + 1/3*v**2 + 2/3 - v**4 = 0. Calculate v.
-1, -2/3, 1
Let s(v) be the third derivative of -v**8/224 + v**7/70 + v**6/80 - v**5/20 - 39*v**2. Suppose s(l) = 0. Calculate l.
-1, 0, 1, 2
Let i(o) be the first derivative of -2/7*o**3 + 4/7*o - 3 + 1/14*o**4 + 2/35*o**5 - 1/7*o**2. Find w, given that i(w) = 0.
-2, -1, 1
Let i = 13 + -11. Suppose x - i*x + 2 = 0. Factor 0 - 5*k**2 + k**2 + 0*k + x - 2*k.
-2*(k + 1)*(2*k - 1)
Let z(g) be the first derivative of -1/3*g**3 - 3 - g + g**2. Solve z(c) = 0 for c.
1
Let t(g) = 2*g**4 - 6*g**3 + 16*g**2 - 7*g. Let i(l) = l**4 - l**2 + l. Let f(s) = -5*i(s) + t(s). Factor f(b).
-3*b*(b - 1)**2*(b + 4)
Let b(k) be the third derivative of 2*k**5/45 + 7*k**4/36 - 2*k**3/9 - k**2. Factor b(g).
2*(g + 2)*(4*g - 1)/3
Let j(w) = w + 1. Let g(n) = -4*n**2 - 10*n - 6. Let y(d) = -g(d) - 2*j(d). Factor y(s).
4*(s + 1)**2
Let s(m) be the third derivative of -m**6/120 - m**5/60 + m**4/24 + m**3/2 - 2*m**2. Let l be s(0). Solve -4 + a**l - a + 4 = 0 for a.
-1, 0, 1
Let r be -3 - (1 + (1 - -241)). Let y = r - -1236/5. Find n, given that -y*n**2 + 3/5*n**5 - 2/5 - 7/5*n + 4/5*n**3 + 8/5*n**4 = 0.
-1, -2/3, 1
Factor 0 + 0*n**2 + 3/8*n**3 - 3/8*n**5 + 0*n + 0*n**4.
-3*n**3*(n - 1)*(n + 1)/8
Find v such that 0*v + 0 - 1/4*v**3 + 1/4*v**2 = 0.
0, 1
Let d be (-2 - -4)/((-2)/(-2)). Let z(o) = -3*o**2 + o. Let j(g) = 4*g**2. Let a(k) = d*z(k) + 3*j(k). Determine w so that a(w) = 0.
-1/3, 0
Let i(g) be the second derivative of -g**9/12096 - g**8/6720 + g**7/3360 + g**6/1440 - g**3/2 - 4*g. Let h(u) be the second derivative of i(u). Solve h(b) = 0.
-1, 0, 1
Suppose 13 = -2*n - 3*w, n - 3 - 4 = 3*w. Let q be -2 - (-6 - 1*n). Factor q*k**2 - 6*k**2 + 3*k**2.
-k**2
Let n(x) be the third derivative of x**7/210 - x**5/60 + 4*x**2. Suppose n(r) = 0. Calculate r.
-1, 0, 1
Let l(o) = 6*o**3 + 8*o**2 + 2*o + 4. Let y(p) = 7*p**3 + 9*p**2 + 2*p + 5. Let g(c) = -5*l(c) + 4*y(c). Factor g(q).
-2*q*(q + 1)**2
Suppose 2*b + 16 = -0*b. Let q be 3/5*(b - -13). Let 0 + 1/4*i**q - 1/4*i**4 + 0*i + 0*i**2 = 0. What is i?
0, 1
Let r(b) = -8*b**3 + 16*b**2 - 4*b + 4. Let x(i) = 7*i**3 - 15*i**2 + 3*i - 3. Let n(q) = 3*r(q) + 4*x(q). Solve n(g) = 0.
0, 3
Suppose -4*g = -23 + 7. Suppose -r + 4 = -g*i, -3*r = -0*r + 3*i + 3. Suppose -1/5*d**2 - 1/5*d + r = 0. Calculate d.
-1, 0
Let u(g) = g**3 - 2. Let z(w) = 2*w**3 - w - 4. Let f(p) = 10*u(p) - 6*z(p). Suppose f(y) = 0. Calculate y.
-1, 2
Suppose -5*q + 4*q + 3 = 0. Suppose -2*y - 1 = -4*k + q*k, -4*y - 17 = -5*k. Suppose -r**3 + 5*r**4 - 4*r**4 - r**5 + 2*r**k - r**2 = 0. Calculate r.
-1, 0, 1
Suppose 3*i - 6 = -33. Let j = -7 - i. Factor 5/4*g**4 + 0 - 3/4*g**5 + 0*g**j + 0*g - 1/2*g**3.
-g**3*(g - 1)*(3*g - 2)/4
Factor -1/4*r**2 + 0*r + 1/4.
-(r - 1)*(r + 1)/4
Let p = 34 - 34. Factor 1/3 + 0*u + p*u**3 - 2/3*u**2 + 1/3*u**4.
(u - 1)**2*(u + 1)**2/3
Let d(k) be the first derivative of 0*k - 2 + 1/2*k**4 - 2/5*k**5 + 0*k**2 - 2/9*k**3 + 1/9*k**6. Factor d(t).
2*t**2*(t - 1)**3/3
Let l(u) be the first derivative of -5*u**4/8 + 35*u**3/6 - 15*u**2/2 + 13. Factor l(c).
-5*c*(c - 6)*(c - 1)/2
Let -4/9*o**3 - 2/9*o**2 + 4/9*o + 2/9*o**4 + 0 = 0. What is o?
-1, 0, 1, 2
Let -3/4 + 1/8*g**2 - 1/8*g = 0. Calculate g.
-2, 3
Suppose 0*g - g = -6*g. Determine x, given that 1/3*x**2 + 1/3*x**3 - 1/3*x + g - 1/3*x**4 = 0.
-1, 0, 1
Factor 4*t**3 - 6*t**2 + 12*t + 11*t**2 + 7*t**2 + 4.
4*(t + 1)**3
Let s(g) be the third derivative of -g**5/100 + g**4/40 + g**3/5 + 6*g**2. Find m such that s(m) = 0.
-1, 2
Suppose 1/2*p**3 + 0*p + 0 - 1/2*p**4 + 0*p**2 = 0. What is p?
0, 1
Let d(i) = i**3 + i**2 - 2*i. Let m be d(-2). Suppose -2*t + m*t - 4*z = -12, t - 4*z + 6 = 0. Suppose -2*k**t + 4*k - 3*k + 3*k**2 = 0. Calculate k.
-1, 0
Suppose 0*g = g + 3, -3*k + 5*g = -24. Let f(s) be the first derivative of 0*s + 1/16*s**4 - 1 + 0*s**2 - 1/12*s**k. Factor f(c).
c**2*(c - 1)/4
Let y be (2/(-6))/(616/(-1344)). Factor y*o**2 - 18/11*o + 4/11.
2*(o - 2)*(4*o - 1)/11
Let s(m) be the third derivative of 4/105*m**5 + 3*m**2 + 0*m**3 + 0*m + 34/735*m**7 + 0 + 5/588*m**8 + 8/105*m**6 + 0*m**4. Determine h, given that s(h) = 0.
-2, -1, -2/5, 0
Let 