irst derivative of -12 - 1/2*l**4 + 26/33*l**3 - 6/11*l**5 + l**2 + 4/11*l. What is y in s(y) = 0?
-1, -2/5, -1/3, 1
Let m = 27 - 77. Let k be (m/15)/((-4)/30). Find p, given that p**3 + 24*p**2 + 5*p - 3*p - k*p**2 - 2*p**3 = 0.
-2, 0, 1
Let n = -89 - -98. Suppose 0 = -6*h + 15 - n. Determine b so that -h + b - 1/4*b**2 = 0.
2
Let k(j) be the third derivative of j**7/210 + 7*j**6/30 + 49*j**5/10 + 343*j**4/6 - 2*j**3/3 - 20*j**2. Let z(g) be the first derivative of k(g). Factor z(m).
4*(m + 7)**3
Let r(o) = o**3 + 9*o**2 - 16*o + 66. Let m be r(-11). Let h(c) be the second derivative of 0*c**2 - 1/14*c**5 - 1/21*c**4 - 3*c + m*c**3 + 0. Factor h(a).
-2*a**2*(5*a + 2)/7
Let w(p) = 4*p - 33. Let o be w(14). Let b = o - 20. Suppose 2/7*g**5 + 0*g - 2/7*g**4 - 2/7*g**b + 0 + 2/7*g**2 = 0. What is g?
-1, 0, 1
What is q in -8/9*q**3 + 0 + 26/9*q**2 - 2/3*q = 0?
0, 1/4, 3
Let i = 67 + -73. Let u be 66/(-21) - (2 + i). Factor 2/7*f**2 + u*f + 0.
2*f*(f + 3)/7
Suppose -4*k + 5 = -5*b, k + 2 = -5*b - 3. Find n, given that -2*n - 50 - 2*n**2 + k*n**2 + 14*n + 8*n = 0.
5
Let d(r) = r**2 - 5*r + 2. Let t be d(6). Suppose -11*s - t = -13*s. Factor 16/3*z**s + 1/3*z + 8/3*z**3 + 0 - 7/3*z**2.
z*(z + 1)*(4*z - 1)**2/3
Let o(c) = -c**2 - 7*c - 9. Let a be o(-4). Determine k, given that 20*k - 12*k**3 + 5*k**4 - a*k**3 + 0*k**4 = 0.
-1, 0, 2
Let h(m) be the third derivative of m**5/270 - 7*m**4/27 + 196*m**3/27 - 2*m**2 - 24. Factor h(r).
2*(r - 14)**2/9
Suppose 6*r - 14*r**3 - r**4 - 9*r**3 + 12 - 8*r**2 + 3*r**5 + 14*r - 3*r**2 = 0. Calculate r.
-2, -1, -2/3, 1, 3
Let f(w) be the first derivative of 2*w**5/5 - w**4 + 2*w**3/3 - 101. Factor f(m).
2*m**2*(m - 1)**2
Let p = 35 - 21. Suppose 5 = -q, 3 = t - 2*q - p. Factor 3*s - 2*s**2 + s + t*s**3 + 8*s**2 + 10*s**2.
s*(s + 2)*(7*s + 2)
Let m(a) be the first derivative of a**6/2 + 6*a**5/5 - 3*a**4 - 2*a**3 + 9*a**2/2 + 76. Factor m(f).
3*f*(f - 1)**2*(f + 1)*(f + 3)
Factor -76*f**3 + 0 + 1/2*f**4 + 2888*f**2 + 0*f.
f**2*(f - 76)**2/2
Let f = 2196 - 2193. Let v(q) be the first derivative of -3/5*q**5 - f*q - 10 + 0*q**4 + 2*q**3 + 0*q**2. Solve v(y) = 0.
-1, 1
Suppose 5*l = 55 - 45. Factor 0*o**l + 1/5*o**3 - 1/5*o + 0.
o*(o - 1)*(o + 1)/5
Suppose 3*i + 4 = -2. Let y(c) = c**2 + 1. Let z(v) = 196*v**4 - 140*v**3 - 54*v**2 - 4*v - 2. Let o(k) = i*y(k) - z(k). Factor o(q).
-4*q*(q - 1)*(7*q + 1)**2
Let v(g) be the third derivative of g**6/150 + g**5/25 - g**4/30 - 2*g**3/5 - 559*g**2. Factor v(z).
4*(z - 1)*(z + 1)*(z + 3)/5
Let l(y) = -y + 6. Let u be l(4). Factor 8*b**2 - 4*b**2 - 3 + 2*b + 2*b**5 - 4*b**3 - u*b**4 - 1 + 2.
2*(b - 1)**3*(b + 1)**2
Let x(l) be the third derivative of l**8/12600 - l**6/2700 - 7*l**3/3 - 12*l**2. Let q(m) be the first derivative of x(m). Solve q(k) = 0.
-1, 0, 1
Factor -3/4*y**2 + 27/2 - 51/4*y.
-3*(y - 1)*(y + 18)/4
Let a be ((-6)/5)/(8/20). Let x be (-8 - a)*(3 - 2). Let t(q) = -9*q**2 - 4*q + 5. Let p(u) = -14*u**2 - 6*u + 8. Let o(b) = x*p(b) + 8*t(b). Factor o(m).
-2*m*(m + 1)
Let u(v) be the first derivative of -1/16*v**4 + 2*v - 3 + 1/2*v**2 - 1/6*v**3. Determine c so that u(c) = 0.
-2, 2
Let a = 877/3700 + -1/37. Let w = 1/25 + a. Factor 0 + w*g**5 + 0*g + 1/2*g**4 + 1/4*g**3 + 0*g**2.
g**3*(g + 1)**2/4
Factor -25412 - 24*h**3 + 20*h**4 + 25412 + 4*h**5.
4*h**3*(h - 1)*(h + 6)
Let t(k) be the second derivative of k**9/2520 - k**8/840 - k**7/630 + k**6/90 - k**5/60 + k**4/2 + 16*k. Let w(h) be the third derivative of t(h). Factor w(a).
2*(a - 1)**2*(a + 1)*(3*a - 1)
Let j = 58 - 60. Let k(l) = -2*l**4 + 0 - 4 + 3*l**5 - 10*l**3 + 2 + 3*l. Let y(z) = -z**5 - z**4 - z - 1. Let t(v) = j*y(v) + k(v). Let t(m) = 0. What is m?
-1, 0, 1
Let g(h) be the first derivative of 10*h**2 + 8*h + 7 + 16/3*h**3 + h**4. Factor g(m).
4*(m + 1)**2*(m + 2)
Let -224*s**2 - 72*s**4 + 1643 + 1514*s + 22*s - 98*s**3 + 405 - 270*s**3 - 4*s**5 = 0. What is s?
-8, -2, 2
Let w(o) be the first derivative of o**4/24 - o**3/6 + 2*o/3 + 103. Factor w(i).
(i - 2)**2*(i + 1)/6
Let o(f) be the second derivative of -f**4/4 + 33*f**3/2 + 51*f**2 - 193*f. Factor o(w).
-3*(w - 34)*(w + 1)
Find j, given that 2/7*j**2 + 72/7*j - 18/7 - 8/7*j**3 = 0.
-3, 1/4, 3
Suppose 0*r - 4 = -r. Suppose 0 = -2*b + 8, 0 = 2*w - 3*w + 4*b - 14. Suppose 0*l - 2/9*l**5 + 0 + 2/9*l**r - 2/9*l**w + 2/9*l**3 = 0. Calculate l.
-1, 0, 1
Let v(u) be the first derivative of -2*u**5/5 + 2*u**4 - 2*u**3/3 - 6*u**2 - 365. Factor v(f).
-2*f*(f - 3)*(f - 2)*(f + 1)
Factor 26*o**2 - 5*o + 5*o + 6*o - 27*o**2 - o**3.
-o*(o - 2)*(o + 3)
Let w(z) be the second derivative of -8*z**5/5 + 23*z**4/3 + 70*z**3/3 + 8*z**2 - 244*z. Let w(x) = 0. Calculate x.
-1, -1/8, 4
Let -2*q**4 + 6*q + 1767*q**3 + 17*q**2 - 2*q**4 - 14*q**4 - 1816*q**3 = 0. Calculate q.
-3, -2/9, 0, 1/2
Suppose -70 = -4*l - 14. Let b = -20 + l. Let m(q) = q**2 + q - 4. Let s(r) = r - 1. Let d(i) = b*s(i) + 3*m(i). Suppose d(a) = 0. What is a?
-1, 2
Factor -11*d + 81*d + 68*d**2 + 66*d**2 - 129*d**2.
5*d*(d + 14)
Let w(j) = j**3 - 16*j**2 + 28*j. Let o be w(14). Let x(v) be the second derivative of -1/54*v**4 + v + o - 1/90*v**5 + 1/9*v**2 + 1/27*v**3. Factor x(q).
-2*(q - 1)*(q + 1)**2/9
Let i be 4/((-7)/(35/(-10))). Determine w so that 89*w**5 + 9*w**3 + 6*w**3 + 10*w**i - 94*w**5 = 0.
-1, 0, 2
Let h(r) = 64 + 57 - 116 + 5*r. Let i be h(-1). Solve 2/3*x**5 - 4/3*x**2 + 0 + i*x**3 - 2/3*x + 4/3*x**4 = 0 for x.
-1, 0, 1
Let f(z) = -z**2 - 8*z + 3. Let h be f(-8). Factor 4*v**h - 72 + 69*v**2 + 84*v + 87*v**2 - 188*v**2.
4*(v - 3)**2*(v - 2)
Let t(k) = -16*k**3 - 4*k**2 + 20. Suppose -2*h = h, h = 4*q + 44. Let g(c) = 3*c**3 + c**2 - 4. Let w(f) = q*g(f) - 2*t(f). Determine r, given that w(r) = 0.
-2, 1
Factor 5/4*x**2 - 1/2 - 3/4*x.
(x - 1)*(5*x + 2)/4
What is k in -5/3 - 1/3*k**2 - 2*k = 0?
-5, -1
Let s be (-26)/(-7) - (-252)/196. Let n(x) be the first derivative of 7 + 0*x - 9/8*x**4 + 7/10*x**s - 2*x**3 + x**2. Determine h so that n(h) = 0.
-1, 0, 2/7, 2
Let b = -99340/9 - -11038. Factor 2/9*n**2 + b - 4/9*n.
2*(n - 1)**2/9
Let k(x) be the first derivative of x**6/5 - x**5/5 - x**4/2 + 2*x**3/3 - 10*x - 9. Let c(o) be the first derivative of k(o). Factor c(y).
2*y*(y - 1)*(y + 1)*(3*y - 2)
Let i(m) = 39*m**3 + 5*m**2 - 4*m. Let v(b) = -b**3 + 18*b - 9*b - 8*b. Let d(t) = i(t) + 4*v(t). Determine r, given that d(r) = 0.
-1/7, 0
Let l(s) = -2*s**3 - 25*s**2 + 39*s - 39. Let g be l(-14). Suppose 0 - 2/3*j**2 - 2/3*j**g + 4/3*j = 0. Calculate j.
-2, 0, 1
Let l = -12844/9 + 1430. Let w(i) be the first derivative of l*i**3 - 8/5*i**5 - 1 + 2/3*i**2 - 1/12*i**4 - 1/2*i**6 - 8/3*i. What is r in w(r) = 0?
-2, -1, 2/3
Let l(p) be the second derivative of -p**8/9240 - p**7/1155 - p**6/396 - p**5/330 + 13*p**3/6 + 16*p. Let z(i) be the second derivative of l(i). Factor z(v).
-2*v*(v + 1)**2*(v + 2)/11
Factor n**2 - 45*n - 35837 + 35837.
n*(n - 45)
Let f(l) be the third derivative of -l**5/48 + 25*l**4/32 - 35*l**3/3 + 34*l**2 + l. Suppose f(h) = 0. Calculate h.
7, 8
Let t(j) be the second derivative of -j**6/105 + 9*j**5/70 - 3*j**4/7 - 70*j - 2. Solve t(i) = 0 for i.
0, 3, 6
Let m(t) = t**3 + 4*t**2 + 2. Let q be m(-4). Let a = 49 - 46. Solve -9*s + s**2 + 6 - 5*s**q + a*s**2 + 4*s**2 = 0 for s.
1, 2
Factor -4*r**2 - 1/7*r + 2/7.
-(4*r - 1)*(7*r + 2)/7
Let u(z) be the second derivative of -z**5/60 + z**4/24 + 5*z**2/2 - 2*z. Let n(t) be the first derivative of u(t). Factor n(k).
-k*(k - 1)
Let d(w) be the first derivative of w**6/4 + 3*w**5/5 - w**3 - 3*w**2/4 - 38. Factor d(x).
3*x*(x - 1)*(x + 1)**3/2
Suppose -3*y + 4*g + 29 - 9 = 0, -4*y = -g - 18. Factor 1/7*x**y - 4/7*x**3 - 2/7*x + 0 + 5/7*x**2.
x*(x - 2)*(x - 1)**2/7
Let p be (70/36 - 2)/(-5 + 1). Let a(j) be the third derivative of 0*j**3 - 3*j**2 - 1/180*j**5 - 1/360*j**6 + 1/630*j**7 + 0*j + 0 + p*j**4. Factor a(i).
i*(i - 1)**2*(i + 1)/3
Let q(r) be the second derivative of r**6/70 - 3*r**5/35 + 2*r + 64. Determine b so that q(b) = 0.
0, 4
Let n(l) = -4*l**3 + 27*l**2 - 103*l + 60. Let j(h) = -3*h**3 + 28*h**2 - 103*h + 62. Let c(x) = 5*j(x) - 4*n(x). Solve c(r) = 0 for r.
-35, 1, 2
Let p = 710 + -705. Let x(m) be the third derivative of 0*m - 1/70*m**p + 1/84*m**4 + 0 + 1/210*m**6 + 5*m**2 + 0*m**3. Suppose x(u) = 0. What is u