27 - 16*k**3/27 - 52*k. Let c(l) = 0. What is l?
-2, 0
Suppose -6*s + 6 = -4*s. Suppose 4*a - 4 = -4*p, 0 = -2*p - a - s*a - 4. Solve 0*w + 0 + 2/11*w**3 + 4/11*w**p - 4/11*w**2 - 2/11*w**5 = 0.
-1, 0, 1, 2
Let i be (-1242)/23*((-22)/8 + -4). Let -4 + i*d**4 - 50*d - 243/2*d**3 - 189*d**2 = 0. What is d?
-2/9, 1
Let i(r) be the third derivative of -r**8/560 - 13*r**3/6 - 12*r**2. Let o(a) be the first derivative of i(a). Factor o(g).
-3*g**4
Let -63*v + 162 - 313 - 3*v**2 + 151 = 0. Calculate v.
-21, 0
Let n(l) be the first derivative of 2*l**3/3 - 63*l**2 - 128*l - 249. Let n(c) = 0. What is c?
-1, 64
Let d(j) be the second derivative of -9*j**5/80 + 25*j**4/16 + 6*j**3 + 15*j**2/2 - 7*j - 55. Suppose d(y) = 0. Calculate y.
-1, -2/3, 10
Let p(t) be the first derivative of -2 + 1/5*t**3 + 0*t - 1/10*t**2 - 1/10*t**4. Find o, given that p(o) = 0.
0, 1/2, 1
Let q(k) be the second derivative of -k**5/330 - k**4/44 - 2*k**3/33 + 3*k**2/2 - 15*k. Let s(p) be the first derivative of q(p). Let s(j) = 0. What is j?
-2, -1
Let j be (-64)/120*(-24)/32. Find m such that 0 - j*m**3 - 3/5*m**2 + 1/5*m**4 + 0*m = 0.
-1, 0, 3
Let m(f) be the first derivative of 11*f**5/5 + 43*f**4/2 + 61*f**3/3 - 7*f**2 + 516. Factor m(o).
o*(o + 1)*(o + 7)*(11*o - 2)
Let d(t) be the first derivative of -2*t**3/39 - 25*t**2/13 + 108*t/13 + 29. What is j in d(j) = 0?
-27, 2
Let g(u) be the second derivative of -5/9*u**3 - 3*u - 1/18*u**4 - 4/3*u**2 + 0. Find x such that g(x) = 0.
-4, -1
Let c(o) be the first derivative of o**4/54 - 4*o**3/27 + 4*o**2/9 + 5*o + 7. Let u(z) be the first derivative of c(z). Suppose u(d) = 0. Calculate d.
2
Suppose 58 = -5*d - 3*x + 103, 5*d + 2*x = 35. Find q such that -12/7 - 4/7*q**d - 2*q + 18/7*q**2 = 0.
-1/2, 2, 3
Let l = -606 - -614. Factor 60*n**2 + l - 48*n + 9/2*n**4 - 28*n**3.
(n - 2)**3*(9*n - 2)/2
Let f be 860/(-11696)*(-16)/10. Let f + 2/17*x**4 + 0*x + 0*x**3 - 4/17*x**2 = 0. What is x?
-1, 1
Factor -612*f**2 + 200*f**2 + 206*f**2 + 204*f**2 + 26 - 24*f.
-2*(f - 1)*(f + 13)
Suppose 26*s = s - 5*s + 60. Factor 2/19*b**s + 8/19*b + 6/19.
2*(b + 1)*(b + 3)/19
Factor 19*n**3 + 12*n**2 + 15*n - 7*n + 3*n - n**3 - 17*n**3.
n*(n + 1)*(n + 11)
Let l be 3*4/(-12)*-3. Suppose 15*x**2 - 3 + 15 + 30*x - 103*x - 3*x**l + 49*x = 0. Calculate x.
1, 2
Let z = 44 - 38. Let u(b) be the second derivative of -1/126*b**7 + 1/90*b**z + 0*b**2 + 0*b**4 + 0 - 5*b + 0*b**5 + 0*b**3. Find x, given that u(x) = 0.
0, 1
Let b(j) = j**3 - 13*j**2 - 11*j - 6. Let l be b(14). What is n in l*n**4 + 16 + 100*n + 9*n**3 - 11*n**4 + 4 + 101*n**3 + 165*n**2 = 0?
-2, -1, -2/5
Let f(p) = 11*p**2 + 121*p - 120. Let b(q) = 65*q**2 + 725*q - 720. Let t(n) = -6*b(n) + 35*f(n). Solve t(h) = 0.
-24, 1
What is w in -4/3*w**2 + 70/9*w**3 - 80/9 - 24*w = 0?
-10/7, -2/5, 2
Let v(y) be the first derivative of 3*y**5/5 - 9*y**4/4 - 19*y**3 + 9*y**2/2 + 54*y + 561. Let v(j) = 0. What is j?
-3, -1, 1, 6
Let y be 2*(-4 - 2)/(-3). Suppose y*m - 25 = -m. Factor -16*z**5 + 3*z**4 - 13*z**4 + 10*z**2 + 11*z**m + 5*z.
-5*z*(z - 1)*(z + 1)**3
Let w = -18617/84 - -4670/21. Determine v, given that 3/4*v**4 + 3/2 - 9/4*v**2 - 3/4*v + w*v**3 = 0.
-2, -1, 1
Let j(n) = 8*n**2 - 8*n + 5. Let q(z) = -12*z**2 + 12*z - 8. Let v(f) = 8*j(f) + 5*q(f). Factor v(g).
4*g*(g - 1)
Let g(y) be the first derivative of 3*y**4/2 + 5*y**3 - 33*y**2/2 + 12*y + 7. Find v, given that g(v) = 0.
-4, 1/2, 1
Let g(q) = 5*q**3 + 3*q**2 + 4*q. Let r(n) = 14*n**3 + 8*n**2 + 11*n. Let f be (-18)/(-135) - 2/30*-58. Let x(b) = f*r(b) - 11*g(b). Factor x(p).
p**2*(p - 1)
Let t(s) = 3*s**4 + 4*s**3 + 12*s**2 + 12*s + 1. Let r(g) = -4*g**4 - 3*g**3 - 12*g**2 - 13*g. Let o(m) = 2*r(m) + 3*t(m). Determine l, given that o(l) = 0.
-3, -1
Solve -36/11 + 2/11*r**2 + 34/11*r = 0.
-18, 1
Let r(s) = -s + 11. Suppose 3*x + 27 = 3*c, 5*x = -2*c + c + 21. Let q be r(c). Solve 2 + 2*d**3 + 6*d + q*d**3 + 0*d**3 + 6*d**2 + 0*d**2 = 0 for d.
-1
Let q be 11/(-22) + (-13)/(-2). Let u(i) = -23*i**3 - 3*i**2 - 13*i. Let g(p) = -11*p**3 - p**2 - 6*p. Let z(l) = q*u(l) - 13*g(l). Factor z(v).
5*v**2*(v - 1)
Let f(m) = -2*m**2 - 146*m - 677. Let y be f(-68). Let -a**y + 33/7*a**2 - 8/7 - 18/7*a = 0. What is a?
-2/7, 1, 4
Let a(n) = -1887*n**3 - 4656*n**2 - 1896*n - 228. Let d(t) = 5659*t**3 + 13967*t**2 + 5690*t + 682. Let i(y) = -17*a(y) - 6*d(y). Solve i(c) = 0.
-2, -6/25
Determine c so that 20/7*c - 2/7*c**2 - 18/7 = 0.
1, 9
Suppose -3*a = -8*a, -f + 2*f + 2*a = 0. Let 0 + 4/5*l**4 - 2/5*l**3 + 2/5*l**5 - 4/5*l**2 + f*l = 0. What is l?
-2, -1, 0, 1
Let g = -83 + 86. Let r(i) be the first derivative of -1/4*i**4 - 1/10*i**5 + 1/12*i**6 + 1/3*i**g + 1/4*i**2 - 1 - 1/2*i. What is n in r(n) = 0?
-1, 1
Let z(t) = 18*t**3 + 59*t**2 - 368*t + 391. Let o(m) = -16*m**3 - 62*m**2 + 368*m - 390. Let q(y) = 7*o(y) + 6*z(y). Let q(x) = 0. Calculate x.
-24, 2
Let o(w) be the second derivative of w**7/280 - 11*w**6/120 + 7*w**5/8 - 25*w**4/8 + 7*w**3/6 - 36*w. Let h(j) be the second derivative of o(j). Factor h(t).
3*(t - 5)**2*(t - 1)
Suppose 0 = 4*c - 5*d - 5, 0*c - c + d + 2 = 0. Solve -16*u - u**2 - c - 11 - 3*u**2 = 0 for u.
-2
Let f(h) = 3*h**3 - 68*h**2 - 10*h + 47. Let m(a) = -2*a**3 + 32*a**2 + 5*a - 23. Let q(z) = -3*f(z) - 7*m(z). Let q(n) = 0. What is n?
-1, 1, 4
Let p = -3671/387 + 427/43. Let 16/9*a + p*a**2 + 16/9 = 0. What is a?
-2
Let g(y) = y**2 - 10*y + 20. Let o be g(8). Let w(k) be the second derivative of 0*k**o + 0 + 0*k**2 + 0*k**3 - 1/20*k**5 + 2*k. What is a in w(a) = 0?
0
Let t(a) be the first derivative of -2/5*a - 6 + 1/5*a**2 - 1/10*a**4 + 2/15*a**3. Solve t(v) = 0.
-1, 1
Let f = -6639 + 13281/2. Factor l**3 + 0*l + 1/6*l**4 + 0 + f*l**2.
l**2*(l + 3)**2/6
Let l(q) be the first derivative of 2*q**5/45 - 2*q**4/3 - 8*q**3/9 + 448*q**2/9 - 512*q/3 + 746. Factor l(p).
2*(p - 8)**2*(p - 2)*(p + 6)/9
Let g(d) be the third derivative of -1/780*d**6 - 1/390*d**5 - 5*d**2 + 0*d + 0*d**4 + 0*d**3 + 0. Factor g(v).
-2*v**2*(v + 1)/13
Suppose 19/5*n + 11/5*n**2 + 9/5 + 1/5*n**3 = 0. What is n?
-9, -1
Let w(p) = p**2 + 0*p**2 - 11*p + 3*p**2 - 1 - p**2. Let x be w(4). Factor -2/15*k - 2/15*k**x + 0 - 4/15*k**2.
-2*k*(k + 1)**2/15
Let z(o) be the second derivative of o**6/10 - 9*o**5/20 - o**4 - 51*o - 1. Factor z(v).
3*v**2*(v - 4)*(v + 1)
Let t be (0 - 0) + (-8 - 2). Let h be 6/5*(-25)/t. Factor h*i**3 - 5*i**5 - 4*i**2 + i**2 + 5*i**5 - 3*i**5 + 3*i**4.
-3*i**2*(i - 1)**2*(i + 1)
Let 2/7*y**4 + 0*y**2 + 0*y + 0 + 4/7*y**3 = 0. What is y?
-2, 0
Suppose -2*k - 3*t - 30 = -3*k, -5*t = 2*k - 5. Factor -c**2 + k*c + 27 + 4*c**2 + 0*c + 3*c.
3*(c + 3)**2
Determine p, given that 8*p**2 + 60 + 32*p + 11*p**2 + 20 - 23*p**2 = 0.
-2, 10
Let f(u) = -u**2 - 2*u - 3. Let z be f(0). Let m be (-1)/(z/(-10) + (-4)/8). Factor 2/3*b**2 + 1/3*b**m + 4/3*b**4 + 0 + 5/3*b**3 + 0*b.
b**2*(b + 1)**2*(b + 2)/3
Let v(j) be the first derivative of -j**6/780 - j**5/195 - j**4/156 + 7*j**2 + 1. Let g(k) be the second derivative of v(k). Factor g(l).
-2*l*(l + 1)**2/13
Let y(b) be the first derivative of b**6/3 - 14*b**5/5 + 5*b**4/2 + 14*b**3/3 - 6*b**2 + 229. Factor y(g).
2*g*(g - 6)*(g - 1)**2*(g + 1)
Let a be ((-8)/16 - (-2)/4) + 3. Suppose -6*l**2 - 7*l**a + 3*l**4 - 3*l**2 - 6*l**4 - 5*l**3 = 0. What is l?
-3, -1, 0
Let d(m) be the third derivative of m**8/11200 - m**7/4200 - 11*m**4/24 + 19*m**2. Let s(z) be the second derivative of d(z). Let s(j) = 0. What is j?
0, 1
Let s(p) be the third derivative of -p**8/1176 - 19*p**7/735 + 41*p**6/420 - p**5/10 - 78*p**2. Suppose s(n) = 0. What is n?
-21, 0, 1
Factor 13 + 11 + 5 - 18*h - 5 + 3*h**2.
3*(h - 4)*(h - 2)
Let p(b) = b**3 - 41*b**2 + 90*b + 4. Let x(a) = -a**3 + 2*a**2 - 3*a - 1. Let q(y) = p(y) + 4*x(y). Find n such that q(n) = 0.
-13, 0, 2
Let w(r) be the first derivative of -r**3/6 + r**2 + 5*r/2 + 90. Let w(u) = 0. Calculate u.
-1, 5
Let q(i) be the first derivative of i**7/147 - i**5/70 - 37*i - 44. Let t(j) be the first derivative of q(j). Determine s, given that t(s) = 0.
-1, 0, 1
Suppose 4*d - 14 = 54. Factor d*a - 13*a + 8*a**4 - 8*a**2 + 0*a**2 - 4*a**5.
-4*a*(a - 1)**3*(a + 1)
Let r be 4*(-9)/(-12) - 0/2. Factor 6*u + u**2 + r*u**2 - 7 - 17 - 26*u.
4*(u - 6)*(u + 1)
Factor -8*c**2 + 2*c**3 + 6*c*