*s + 2/7*s**4 - 6/7*s**3 + 6/7*s**2 = 0.
0, 1
Let r = -284 + 288. Let h(a) be the third derivative of -3/16*a**r + 0*a + 1/40*a**5 + 0 + 4*a**2 + 0*a**3. Let h(b) = 0. What is b?
0, 3
What is j in -1/3*j**3 + 1/3*j - 8/3 + 8/3*j**2 = 0?
-1, 1, 8
Suppose 4*f - 33 + 9 = 0. Suppose 3*x - 3 = f. Factor 0*t**2 + 2*t**2 + t**x - 3*t**2.
t**2*(t - 1)
Let w(a) be the second derivative of -a**7/168 + a**6/8 + 9*a**5/16 - 225*a**4/16 - 135*a**3 - 486*a**2 - 2*a + 47. Factor w(u).
-(u - 12)**2*(u + 3)**3/4
Let n(j) be the second derivative of -7*j**6/150 - 11*j**5/100 - j**4/60 + j**3/10 + 14*j - 4. Factor n(h).
-h*(h + 1)**2*(7*h - 3)/5
Suppose 5*y = -43 + 63. Let v(g) be the second derivative of -25/168*g**7 - 1/6*g**y + 0 + 0*g**2 + 0*g**3 - 11/20*g**5 - g - 7/12*g**6. Factor v(l).
-l**2*(l + 2)*(5*l + 2)**2/4
Let m(d) be the first derivative of 125*d**3/3 + 25*d**2 + 5*d + 357. Factor m(k).
5*(5*k + 1)**2
Factor 0 + 2/5*o**3 + 78/5*o**2 + 0*o.
2*o**2*(o + 39)/5
Let r(j) be the third derivative of -j**5/180 - 5*j**4/36 + j**2 + 102*j. Let r(p) = 0. Calculate p.
-10, 0
Let f be 6/12 + 10/4. Determine h, given that -31*h**4 - h - 4*h**2 - h**2 - 4*h**5 + 3*h - 7*h**5 - 27*h**f = 0.
-1, 0, 2/11
Let q(g) = -g**2 + 4*g. Let k(y) = 12*y**2 - 48*y - 6. Let l(f) = -2*k(f) - 28*q(f). Suppose l(c) = 0. Calculate c.
1, 3
Suppose 3*c - 29 = 1. Suppose -c*a + 14 = -3*a. What is t in 0 - 3/2*t - 1/2*t**a = 0?
-3, 0
Let j be 9 - (9 - -4) - -6. Determine h so that -2 + 1/2*h**j + 3/2*h = 0.
-4, 1
Let z = -1353 + 1359. Let p(n) be the third derivative of 1/70*n**7 - 1/4*n**4 + 1/20*n**z + 11*n**2 + 0*n**5 + 0*n + 0 - 1/2*n**3. Factor p(m).
3*(m - 1)*(m + 1)**3
Let z(w) be the second derivative of 2*w**7/21 + 14*w**6/15 + 8*w**5/5 - 16*w**4/3 + 8*w + 14. Find h, given that z(h) = 0.
-4, 0, 1
Let -36/7*u**3 + 48/7*u + 4/7*u**5 + 0*u**4 + 0 + 16/7*u**2 = 0. Calculate u.
-3, -1, 0, 2
Factor -2 + 28/5*a**3 - 2/5*a**4 + 38/5*a - 2/5*a**5 - 52/5*a**2.
-2*(a - 1)**4*(a + 5)/5
Suppose 42 = -4*u - 22. Let l = u - -82/5. Factor -l*f + 0 - 8/15*f**2.
-2*f*(4*f + 3)/15
Solve 3/7*x**2 - 3/7*x**4 + 12/7*x**3 + 0*x + 0 - 12/7*x**5 = 0.
-1, -1/4, 0, 1
Let -276/7 - 81/7*l**2 + 3/7*l**3 + 288/7*l = 0. Calculate l.
2, 23
Let r = 8234/5 + -1646. What is t in 2/5*t**2 - 2*t**3 + r - 6/5*t**4 + 2*t = 0?
-1, -2/3, 1
Suppose -5*j + 28 - 18 = 0. Factor 30*x**j - 19*x**2 - 7*x**2 - 4*x - 18*x**2 - 6*x**3.
-2*x*(x + 2)*(3*x + 1)
Let h(v) = 4*v**2 - 1. Let y be h(1). Suppose -y*d = -0 - 9. Factor 6*u - 6*u**3 + 9*u**4 + d + 8*u**2 + 0*u**4 - 20*u**2.
3*(u - 1)**2*(u + 1)*(3*u + 1)
Let u(v) be the first derivative of -11 - 5/4*v**4 - 5*v**2 - 5*v**3 + 0*v. Factor u(t).
-5*t*(t + 1)*(t + 2)
Let v(j) be the third derivative of j**7/280 - 3*j**6/80 + j**5/16 - 332*j**2. Let v(x) = 0. What is x?
0, 1, 5
Let m = 129/34 - 577/170. Suppose 2/5*d**4 + 0*d - 4/5*d**2 + 0 + m*d**3 = 0. What is d?
-2, 0, 1
Let o(a) be the second derivative of a**5/10 - a**4/18 - 2*a**3/9 + 176*a. Find r, given that o(r) = 0.
-2/3, 0, 1
Let i(b) be the second derivative of b**7/147 + 8*b**6/105 + b**5/10 + 66*b - 1. Factor i(u).
2*u**3*(u + 1)*(u + 7)/7
Solve -17*x - 6*x + 3*x + 5*x**3 = 0 for x.
-2, 0, 2
Factor -74*f + f**2 + 48 - 18 - 46*f**2 - 51*f.
-5*(f + 3)*(9*f - 2)
Suppose 0 = -2*z - 5*j + 14, -8*z + 4*z + 2*j + 4 = 0. Let b(n) be the first derivative of 8/11*n + 2/33*n**3 - 5 + 4/11*n**z. Let b(q) = 0. Calculate q.
-2
Let s(f) be the second derivative of 17*f - 13/4*f**4 + 21/100*f**5 + 0*f**2 + 9/5*f**3 + 0. Solve s(o) = 0.
0, 2/7, 9
Let i(s) be the first derivative of -s**4/7 - 44*s**3/21 - 10*s**2 - 100*s/7 - 1. Let i(n) = 0. What is n?
-5, -1
Let i(v) be the second derivative of 0 + 1/8*v**2 + 1/48*v**4 + 27*v - 1/12*v**3. Factor i(t).
(t - 1)**2/4
Let z be 3/(-5) - 280/(-50). Let p(j) = 4*j - 9. Let f be p(7). Solve v**3 + z*v - 4*v + f - 19 - 2*v**2 = 0 for v.
0, 1
Let b(h) be the third derivative of -h**8/336 + h**7/210 + h**6/30 - h**5/15 + 284*h**2. Find v such that b(v) = 0.
-2, 0, 1, 2
Suppose 3*z + 5 = t, -10 = -2*z + 5*z + 4*t. Let s be -2 + (0 - -2) - z. Factor s*l**2 - 30*l**3 + l**2 + 29*l**3.
-l**2*(l - 3)
Let t(m) = -m**2 + 91*m + 5242. Let p be t(-40). Determine v so that -p*v**3 - 9/2*v**2 - 5/4 - 1/4*v**4 - 4*v = 0.
-5, -1
Let c(d) be the second derivative of 1/11*d**3 + 1/66*d**4 + 0 - 6*d + 0*d**2. Factor c(v).
2*v*(v + 3)/11
Let i(f) = -f + 13. Let a be 8/(-3)*15/(-4). Let x be i(a). Let -6*y**x + 0*y + 0*y**3 + 5*y**3 + y = 0. What is y?
-1, 0, 1
Find i, given that 232*i**3 + 879*i**4 - 3588*i**2 + 377 + 6496*i - 3513 - 883*i**4 = 0.
1, 28
Suppose 2*l = -2*g, 15*l = -5*g + 12*l. Let t(c) be the second derivative of -1/4*c**2 - 1/3*c**3 - 1/8*c**4 + g + 3*c. Determine q so that t(q) = 0.
-1, -1/3
Let a = 14/443 + 1301/886. Factor 3/2*v**2 + 1/2*v**3 + 1/2 + a*v.
(v + 1)**3/2
Suppose -3*b - 17 = -5*c, 3*b + 1 = -0*c + c. Suppose -1 = -j, -4*r + 3 + 1 = -c*j. Determine s, given that 4/3 - 10/3*s - 2/3*s**3 + 8/3*s**r = 0.
1, 2
Let c = 2530/3 + -12638/15. Factor 4/5*b**2 + 0*b - c.
4*(b - 1)*(b + 1)/5
Let t(d) = -5*d**3 - 52*d**2 + 113*d - 59. Let g(i) = 6*i**3 + 52*i**2 - 114*i + 60. Let u(c) = -3*g(c) - 4*t(c). Let u(o) = 0. Calculate o.
-28, 1
Let q(l) be the third derivative of l**5/90 - 5*l**4/9 - 44*l**3/9 - 90*l**2 + l. Suppose q(c) = 0. Calculate c.
-2, 22
Let m(u) = -u**2 + 27*u - 22. Let f be m(26). Factor 19*j**4 - 86*j**3 - j**4 - 146*j**2 - 40*j**f - 2*j**5 - 32 - 112*j.
-2*(j + 1)**3*(j + 4)**2
Let q(z) = -z**3 + 8*z**2 + 7*z + 14. Let s be q(6). Factor 96*n**3 - s*n + 17*n**4 - 46*n**2 + 14*n**2 + 23*n**4 - 4*n**4 + 64.
4*(n + 2)**2*(3*n - 2)**2
Factor -2*y**3 + 74/7*y**2 + 24/7 - 104/7*y.
-2*(y - 3)*(y - 2)*(7*y - 2)/7
Suppose -8 = 14*j - 36. Suppose 16 = -3*t - t, 5*h - 4*t - 46 = 0. Factor -5*s + 4*s**j + 6*s - s**5 + 4*s**4 + h*s**3 + 2*s**5.
s*(s + 1)**4
Suppose 5*m = -2*x + 21, -201 = 5*x + 2*m - 222. Let f(i) be the first derivative of -5 + 3/2*i + 1/6*i**x - i**2. Solve f(n) = 0 for n.
1, 3
Let t(d) = 3*d**3 - 7*d**2 - 3*d + 2. Let s(c) = 1 + 2*c + 2*c**3 + 1 - 6*c + 2*c - 6*c**2. Let p(z) = 5*s(z) - 4*t(z). Factor p(l).
-2*(l - 1)*(l + 1)**2
Let k(l) be the second derivative of -2/5*l**3 + 1/20*l**4 + 0 - l + 0*l**2. Let k(z) = 0. Calculate z.
0, 4
Let c = -89 - -82. Let o(f) = -f**2 - 9*f - 12. Let w be o(c). What is g in -4/3*g + 2 + 2/9*g**w = 0?
3
Let k(v) be the first derivative of -3*v**5/20 - 3*v**4/8 + 3*v**2/4 + 3*v/4 + 35. Factor k(n).
-3*(n - 1)*(n + 1)**3/4
Let c(t) be the first derivative of t**8/252 - t**7/105 + t**6/180 - 23*t**2/2 + 11. Let u(l) be the second derivative of c(l). Factor u(v).
2*v**3*(v - 1)*(2*v - 1)/3
Let r be (-285)/(-1900)*2/90. Let k(b) be the third derivative of -1/5*b**4 - 8/15*b**3 - 1/25*b**5 + 0 - 3*b**2 + 0*b - r*b**6. Factor k(f).
-2*(f + 2)**3/5
Let -23/9*m**2 - 20/3*m + 0 - 1/9*m**3 = 0. What is m?
-20, -3, 0
Suppose 42*p + 7275 = 17*p. Let f be (-32)/8 + p/(-36)*3. Determine x so that 81*x**2 - f*x**3 + 48 - 108*x = 0.
4/3
Solve -44/5*b + 38/5*b**4 + 6/5*b**5 + 38/5*b**3 + 48/5 - 86/5*b**2 = 0.
-4, -3, -1, 2/3, 1
Find m such that 1/6*m**2 - 133/3*m + 17689/6 = 0.
133
Factor 351/5*i + 12*i**2 + 3/5*i**3 + 486/5.
3*(i + 2)*(i + 9)**2/5
Let n(x) be the second derivative of -2*x**6/15 - 244*x**5/5 - 6642*x**4 - 367416*x**3 - 1062882*x**2 + 221*x. Factor n(o).
-4*(o + 1)*(o + 81)**3
Let l(g) be the third derivative of -g**8/336 - 2*g**7/105 + 7*g**5/30 + 17*g**4/24 + g**3 + 2*g**2 - 19. Solve l(r) = 0.
-3, -1, 2
Let i be ((-1365)/(-14))/13 + -5*1. Let z(n) be the second derivative of 3/2*n**2 + i*n**3 + 5*n + n**4 + 0. Factor z(b).
3*(b + 1)*(4*b + 1)
Suppose v + 59 = 2*k, 3*k - 85 + 343 = -4*v. Let c be (6/v*-7)/(4/3). Factor -1/2*z + c + 1/2*z**3 - 1/2*z**2.
(z - 1)**2*(z + 1)/2
Let i(v) be the third derivative of v**5/60 + v**4/4 - 8*v**3/3 - 8*v**2 + 5*v. Let i(l) = 0. Calculate l.
-8, 2
Let q = 15382/9 - 1709. Solve 0 + 0*u**2 + 0*u - q*u**3 - 1/9*u**4 = 0 for u.
-1, 0
Suppose 0 = 51*d - 256 - 203. Let f(t) be the second derivative of 1/2*t**3 + t**4 + 0 + 0*t**2 - d*t + 9/20*t**5. Solve f(a) = 0.
-1, -1/3, 0
Let w = 32 - 21. Suppose 5*k - w = -1. Solve 3*j**k + 0 - 3/2*j**3 - 3/2*j = 0 for j.
0, 1
Suppose 9*c + 345 = 14*c