such that n(f) = 0.
37
Solve 32*b - 312/5 - 2/5*b**2 = 0 for b.
2, 78
Let w(p) be the second derivative of p**6/315 - 5*p**5/21 + 16*p**4/21 - 123*p. Factor w(z).
2*z**2*(z - 48)*(z - 2)/21
Let n(j) be the third derivative of 3*j**8/224 - j**7/4 + 117*j**6/80 - 137*j**5/40 + 3*j**4/2 + 7*j**3 + 2*j**2 - 35. Determine u, given that n(u) = 0.
-1/3, 1, 2, 7
Let f(y) be the third derivative of -1/40*y**6 + 1/4*y**4 + 0*y**3 - 1/112*y**8 + 7*y**2 + 3/70*y**7 + 0*y - 3/20*y**5 + 0. Determine d so that f(d) = 0.
-1, 0, 1, 2
Let n(w) be the first derivative of -4*w**3/3 + 76*w**2 - 1444*w + 396. Suppose n(i) = 0. What is i?
19
Let a(v) be the third derivative of v**5/120 - 11*v**4/48 + 5*v**3/6 + 52*v**2 + v. Let a(z) = 0. Calculate z.
1, 10
Let o(c) = 7*c**2 - 91*c + 78. Let b(w) = 6*w**2 - 90*w + 80. Let p(y) = -3*b(y) + 2*o(y). Find f, given that p(f) = 0.
1, 21
Let a(x) = 9*x - 3. Let u be a(2). Suppose u = 15*f - 12*f. Determine l so that -6/11*l**f + 2/11*l**4 + 0 + 8/11*l**2 + 16/11*l**3 + 0*l = 0.
-1, -2/3, 0, 2
Let f(x) be the first derivative of -2/27*x**3 + 0*x + 0*x**2 + 10. Suppose f(y) = 0. Calculate y.
0
Let l be (-18)/(-4) - ((-55)/(-10) - 5). Let x(q) be the first derivative of 2/3*q - 1/2*q**2 + l + 1/9*q**3. Let x(k) = 0. Calculate k.
1, 2
Let s = 408 + -408. Let q(t) be the first derivative of 1/26*t**4 + s*t + 4/65*t**5 + 5 + 0*t**2 + 1/39*t**6 + 0*t**3. Suppose q(k) = 0. What is k?
-1, 0
Let x(j) be the third derivative of -j**5/30 - j**4/2 - 8*j**3/3 - 11*j**2 + 3*j. Solve x(w) = 0 for w.
-4, -2
Let n = 18 + -10. Let c = n - 5. Suppose c*q - 38*q**2 + 41*q**2 + 0*q = 0. Calculate q.
-1, 0
Let a(u) be the first derivative of u**7/245 - u**6/30 + 2*u**5/21 - 2*u**4/21 + 3*u**2/2 - 12. Let m(v) be the second derivative of a(v). Solve m(k) = 0.
0, 2/3, 2
Let s = 29 - 25. Let y = s - 2. Find f such that -2/5 + 0*f + 0*f**3 - 2/5*f**4 + 4/5*f**y = 0.
-1, 1
Let x be -1199*(-1)/(-240) - (-50 + 45). Let g(q) be the third derivative of 1/96*q**4 + 0*q**3 + 0*q + 0 - x*q**5 + 7*q**2. Suppose g(c) = 0. Calculate c.
0, 1
Let w(m) = -5*m**2 - 4. Let o(r) = r**2 - r + 1. Let f(s) = 4*o(s) + w(s). Factor f(v).
-v*(v + 4)
Let a(j) be the third derivative of -9*j**7/70 - 3*j**6/40 + 2*j**5/5 + j**4/2 - 2*j**2 - 7. Let a(w) = 0. What is w?
-2/3, 0, 1
Let n = 27073 + -27069. Factor 5/4*w**n + 155/4*w + 65/4*w**3 + 25/2 + 165/4*w**2.
5*(w + 1)**3*(w + 10)/4
Let k be 3 - (-4)/(-12)*0. Find u such that -k*u - 2 + 6*u**3 - 4 + u**5 - 3*u**4 + 3 + 6*u**2 - 4*u**5 = 0.
-1, 1
Let q be 297/18 + 2/4. Suppose -6 = -q*f + 14*f. Suppose 1/6*j**5 + 1/6*j**f + 0*j + 0 - 1/6*j**3 - 1/6*j**4 = 0. What is j?
-1, 0, 1
Let b(j) be the second derivative of j**4/4 + 27*j**3/2 - 67*j. Factor b(r).
3*r*(r + 27)
Let g be (-24)/(-16) + (-22)/(-4). Factor g*r**3 - 3*r**3 - 505*r**4 + 507*r**4.
2*r**3*(r + 2)
Let a(d) be the second derivative of -15*d + 2/63*d**4 + 1/210*d**5 + 0 + 5/63*d**3 + 2/21*d**2. Let a(x) = 0. What is x?
-2, -1
Let m(h) be the first derivative of -4/5*h + 9 + 16/15*h**3 - 3/5*h**2 - 3/10*h**4. Factor m(x).
-2*(x - 2)*(x - 1)*(3*x + 1)/5
Let i(m) = m**2 - 2*m. Let g(c) = 12*c - 90. Let s be g(8). Let f(u) = 1 - u**2 + 2*u - 1. Let q(o) = s*i(o) + 7*f(o). Find n such that q(n) = 0.
0, 2
Let p = -329/62 - -180/31. Find x, given that -4*x + p*x**2 + 8 = 0.
4
Let g(o) be the first derivative of o**5/20 + o**4/4 + 4*o**2 + 14. Let c(h) be the second derivative of g(h). What is l in c(l) = 0?
-2, 0
Let n = -228 + 234. Let o(t) be the second derivative of 1/4*t**4 - 3*t + 1/10*t**5 + 0 + 1/3*t**3 + 1/60*t**n + 1/4*t**2. Factor o(y).
(y + 1)**4/2
Let k(i) be the third derivative of -i**6/300 + 41*i**5/150 + 17*i**4/12 + 43*i**3/15 - 12*i**2 + 2*i. Find s, given that k(s) = 0.
-1, 43
Let p(u) be the third derivative of -u**8/96 + 11*u**7/315 - 11*u**6/360 - u**5/90 + u**4/48 + 2*u**2 + 171*u. Solve p(j) = 0 for j.
-1/3, 0, 3/7, 1
Let c(p) be the second derivative of p**6/30 - p**5/5 + p**4/3 - 13*p**2/2 + 22*p. Let s(n) be the first derivative of c(n). Factor s(t).
4*t*(t - 2)*(t - 1)
Let b(z) be the third derivative of 2*z**7/945 - 7*z**6/270 + 2*z**5/15 - 10*z**4/27 + 16*z**3/27 + 189*z**2. Factor b(v).
4*(v - 2)**3*(v - 1)/9
Let f(c) be the first derivative of -3*c**5/70 - 25*c**4/42 - 8*c**3/3 - 16*c**2/7 + 5*c - 1. Let d(t) be the first derivative of f(t). Factor d(s).
-2*(s + 4)**2*(3*s + 1)/7
Factor 120/7*x**3 + 0 + 216/7*x + 332/7*x**2 + 4/7*x**4.
4*x*(x + 1)*(x + 2)*(x + 27)/7
Let g(i) be the second derivative of -i**5/180 - i**4/54 + i**3/18 - 58*i. Factor g(a).
-a*(a - 1)*(a + 3)/9
Solve -1748 + 8*a + 2*a**5 + 1748 + 30*a**3 + 4*a**4 - 26*a**2 - 18*a**4 = 0.
0, 1, 4
Let n(r) be the third derivative of 3*r**2 + 1/2*r**3 + 0 + 1/40*r**5 + 3/16*r**4 + 0*r. Factor n(b).
3*(b + 1)*(b + 2)/2
Let a be -2 + (10 - 2) - 4. Let l = -10/21 - -38/21. Let l - a*q**2 - 10/3*q = 0. What is q?
-2, 1/3
Let g(v) be the third derivative of 1/60*v**5 + 0 + 1/3*v**3 + 0*v - 20*v**2 - 1/8*v**4. Factor g(z).
(z - 2)*(z - 1)
Let z(l) be the third derivative of -l**6/120 + 3*l**5/2 - 225*l**4/2 + 4500*l**3 + 301*l**2. Factor z(i).
-(i - 30)**3
Let g be 680/528 - 1/1. Let v = g + 1/22. Factor 0 + 1/3*y + v*y**2.
y*(y + 1)/3
Let y(u) = -2*u**2 - 26*u - 96. Let w be 2/8 - (-63)/(-28). Let o(g) = -4*g**2 - 51*g - 191. Let c(f) = w*o(f) + 5*y(f). Solve c(d) = 0.
-7
Let q(l) be the first derivative of -2*l**5/35 - l**4/14 - 49. Factor q(t).
-2*t**3*(t + 1)/7
Let c be (-17)/(-85) - 4/(-5). Let v be 0/((-1)/(4/8))*c. Determine q so that -1/4*q**2 - 1/4*q + v = 0.
-1, 0
Suppose 4*u + 11 + 30 = -5*h, -5*u - 4*h - 40 = 0. Let m be (u/(-3))/(4/6). Find r such that r**m + r**2 + 0*r + 4*r = 0.
-2, 0
Suppose 44 + 23 = 47*l - 27. Factor 0*u**3 - 28/5*u**5 + 8/5*u**4 + 0*u**l + 0*u + 0.
-4*u**4*(7*u - 2)/5
Let o(q) be the second derivative of 0*q**2 + 1/16*q**4 + 0 - 3*q - 3/8*q**3. Factor o(t).
3*t*(t - 3)/4
What is g in -3*g + 6*g**2 + 5*g + 0*g - g**2 = 0?
-2/5, 0
Suppose -12 = 4*a, 5*p - 9 = 5*a + 21. What is h in -h**2 + h + 0*h - 5*h**3 + 2*h**p + 3*h**2 = 0?
-1/3, 0, 1
Let q be (6/(-9))/((-2)/15). Let c(l) = -l**4 - 5*l**3 - 11*l**2 + 5*l. Let n(h) = -2*h**3 - 6*h**2 + 2*h. Let u(r) = q*n(r) - 2*c(r). Factor u(z).
2*z**2*(z - 2)*(z + 2)
Let x be 12/(-6) + 7 + 2 + -4. Let p(c) be the second derivative of 8*c + 10/3*c**x - c**2 + 0 - 25/6*c**4. Factor p(i).
-2*(5*i - 1)**2
Let j(u) = u**3 - 2*u**2 - 4*u + 3. Let x be (-18)/(-4) - (-15)/(-10). Let v be j(x). Factor -2*m - 20*m**3 + 18*m**3 + v*m + 0*m**2 + 4*m**2.
-2*m*(m - 1)**2
Let t = 1291/20 - 304/5. Let a(u) be the first derivative of -7 - 3*u + 3/8*u**4 - 2*u**3 + t*u**2. Determine g so that a(g) = 0.
1, 2
Solve 48/13*s - 4/13*s**4 + 2*s**3 + 0 + 76/13*s**2 - 2/13*s**5 = 0.
-3, -2, -1, 0, 4
Let l(m) be the second derivative of -m**5/230 + 19*m**4/69 - 73*m**3/69 + 36*m**2/23 - 212*m. Find s such that l(s) = 0.
1, 36
Let l(y) be the second derivative of 7*y**5/50 + 29*y**4/15 + 13*y**3/3 + 14*y**2/5 - 136*y. Factor l(h).
2*(h + 1)*(h + 7)*(7*h + 2)/5
Let q(g) = -26*g**3 - 577*g**2 - 13051*g - 95849. Let t(o) = 9*o**3 + 192*o**2 + 4350*o + 31950. Let r(p) = 6*q(p) + 17*t(p). Factor r(i).
-3*(i + 22)**3
Let a(l) be the third derivative of -5/24*l**6 - 1/3*l**5 - 2 - 11*l**2 + 0*l - 1/21*l**7 - 5/24*l**4 + 0*l**3. Factor a(z).
-5*z*(z + 1)**2*(2*z + 1)
What is r in -2/11*r**2 - 40328/11 - 568/11*r = 0?
-142
Let c(q) = q**4 - 12*q**3 + 13*q**2 - 8*q - 2. Let s(g) = g**4 - 24*g**3 + 25*g**2 - 17*g - 5. Let t(w) = 5*c(w) - 2*s(w). Factor t(v).
3*v*(v - 2)*(v - 1)**2
Suppose -5*f = 3*q - 7*q + 10, 5*q = 2*f + 21. Let o(h) be the second derivative of 0*h**2 + 1/40*h**q - 1/45*h**6 + 1/72*h**4 + 7*h + 0 + 0*h**3. Factor o(l).
-l**2*(l - 1)*(4*l + 1)/6
Suppose -3*q = -37 + 7. Suppose -2*z + 10 = 2*k, -q = -3*k + z - 3*z. Determine s so that k*s**2 + s**2 + 35 - 39 = 0.
-2, 2
Let h(q) be the first derivative of 2/15*q**2 - 2/15*q**3 - 22 + 2/15*q. Determine r so that h(r) = 0.
-1/3, 1
Let i = 574/95 - 111/19. Find d, given that i*d**3 + 1/5 - 1/5*d - 1/5*d**2 = 0.
-1, 1
Let x = 1447/3 - 482. Find r such that 3*r**3 + 0 + 7/3*r**2 + 2/3*r + 5/3*r**4 + x*r**5 = 0.
-2, -1, 0
Let t(u) = -10*u**2 + 95*u - 85. Let h(q) = q**2 - 2*q + 1. Let b(