(y) be the first derivative of 6 - 1/6*y**2 - 1/3*y**3 - s*y**4 + 0*y - 1/15*y**5. Factor x(t).
-t*(t + 1)**3/3
Let c(u) be the second derivative of 8/3*u**4 + 32/3*u**3 - 1/3*u**6 - 1/21*u**7 + 0 - 2/5*u**5 + 10*u + 16*u**2. Factor c(i).
-2*(i - 2)*(i + 1)*(i + 2)**3
Let q be (48/2)/(1/2). Suppose 10*z - q = 2. Factor 1/6*b**z + 1/3*b**2 - 1/6*b**3 + 0*b - 1/3*b**4 + 0.
b**2*(b - 2)*(b - 1)*(b + 1)/6
Let d(n) be the second derivative of -1/66*n**3 + 1/220*n**5 + 1/132*n**4 - 12*n + 0 - 1/22*n**2. Suppose d(k) = 0. Calculate k.
-1, 1
Let y = 2311 + -2311. Let n(h) be the first derivative of 0*h**2 + 4/35*h**5 + 0*h**3 - 8 + 0*h - 1/21*h**6 + y*h**4. Let n(o) = 0. What is o?
0, 2
Let j(q) be the first derivative of 2*q**6/3 + 24*q**5/5 + 5*q**4 - 64*q**3/3 - 24*q**2 + 64*q + 285. Find y, given that j(y) = 0.
-4, -2, 1
Let h(a) be the first derivative of 1/15*a**3 + 0*a**4 + 1/15*a**6 - 3/25*a**5 + 0*a + 19 + 0*a**2. Suppose h(p) = 0. What is p?
-1/2, 0, 1
Let m(a) be the first derivative of -a**5/5 + 7*a**4/4 + 8*a**3/3 - 62. Factor m(y).
-y**2*(y - 8)*(y + 1)
Let m(o) be the third derivative of o**8/112 - o**7/35 + o**5/10 - o**4/8 - 3*o**2 - 65. What is t in m(t) = 0?
-1, 0, 1
Let m(g) be the third derivative of 1/240*g**5 + 0*g**3 - 7*g**2 + 0*g + 0 - 1/96*g**4. Factor m(f).
f*(f - 1)/4
Suppose -16 + 3964*v**2 - 2*v - 3962*v**2 - 2*v + 8*v = 0. Calculate v.
-4, 2
Let z(u) = -124*u**4 + 275*u**3 - 196*u**2 + 46*u - 1. Let k(m) = m**4 - m**2 + m - 1. Let g(c) = -k(c) + z(c). Factor g(y).
-5*y*(y - 1)*(5*y - 3)**2
Let x(t) be the first derivative of 2*t**3/9 - 56*t**2/3 + 1568*t/3 - 79. Factor x(g).
2*(g - 28)**2/3
Let v(g) be the second derivative of -g**6/40 + 9*g**5/80 + g**4 + 3*g**3/2 + g - 1. Factor v(o).
-3*o*(o - 6)*(o + 1)*(o + 2)/4
Let o = -2609 + 2613. Let m(v) be the second derivative of 1/150*v**5 + 0 - 1/45*v**3 + 1/90*v**o + 5*v - 1/15*v**2. Solve m(x) = 0.
-1, 1
Suppose -5*s**4 + 5*s**2 + 899*s**3 - 5*s**5 - 10*s - 445*s**3 - 439*s**3 = 0. What is s?
-2, -1, 0, 1
Let v(d) be the first derivative of -d**3/3 + 3*d**2 - 4*d + 15. Let p be v(3). Solve 0*k + 0 + 0*k**3 - 2/5*k**4 + 4/5*k**p + 0*k**2 = 0 for k.
0, 1/2
Let n(q) be the second derivative of q**5/330 + q**4/132 - 2*q**3/33 - 20*q**2 + 48*q. Let d(l) be the first derivative of n(l). Factor d(x).
2*(x - 1)*(x + 2)/11
Let t = -16 + -7. Let a = t - -70/3. Factor 0*f**2 - f + a*f**3 + 2/3.
(f - 1)**2*(f + 2)/3
Let k(r) be the second derivative of -r**6/10 - 9*r**5/10 - 3*r**4 - 4*r**3 - 3*r - 14. Factor k(i).
-3*i*(i + 2)**3
Find t such that 2/9*t**2 - 98/9*t + 0 = 0.
0, 49
Let w(c) = 5*c**2 - 55*c + 128. Let t(d) = 20*d**2 - 220*d + 516. Let n(m) = 2*t(m) - 9*w(m). Factor n(y).
-5*(y - 8)*(y - 3)
Let b(u) = u**2 + 5. Suppose -3*g = -g + 5*g. Let x be b(g). Factor -8/9*l - 218/9*l**3 - 28*l**4 + 0 - 8*l**2 - 98/9*l**x.
-2*l*(l + 1)**2*(7*l + 2)**2/9
Let d(n) be the third derivative of -n**8/420 - 4*n**7/175 - 2*n**6/25 - 8*n**5/75 - 52*n**2. Suppose d(l) = 0. Calculate l.
-2, 0
Let d(s) be the third derivative of 0*s + 3/2*s**3 + 1/4*s**6 + 23/30*s**5 + 1/336*s**8 + 6*s**2 + 0 + 3/70*s**7 + 11/8*s**4. Solve d(v) = 0.
-3, -1
Let l(i) be the second derivative of i**6/30 - 7*i**5/10 + 11*i**4/4 - 10*i + 16. Factor l(q).
q**2*(q - 11)*(q - 3)
Let h(m) = -m - 6. Let q be h(-10). Factor -16*c**2 + 10*c**2 - 3*c**3 - c**4 + 4*c**q.
3*c**2*(c - 2)*(c + 1)
Let -96/7*s + 3/7*s**2 + 93/7 = 0. Calculate s.
1, 31
Let w(z) be the second derivative of z**9/105840 + z**8/23520 + z**7/17640 - 13*z**4/12 + 11*z. Let n(y) be the third derivative of w(y). Factor n(v).
v**2*(v + 1)**2/7
Let a(t) be the first derivative of t**6/10 + 6*t**5/25 + 270. Factor a(o).
3*o**4*(o + 2)/5
Let a(q) be the third derivative of 1/300*q**5 + 0*q**4 + 7*q**2 + 0*q - 2/3*q**3 + 0 - 1/900*q**6. Let y(d) be the first derivative of a(d). Factor y(u).
-2*u*(u - 1)/5
Let l be (-8 - (1 - 6))/((-21)/8). Let s(w) be the first derivative of 6 + 0*w**2 - 2/21*w**3 + l*w. Find j, given that s(j) = 0.
-2, 2
Let l = 74 - 70. Determine f, given that 3*f**3 - 7*f**3 + 69*f**2 - 67*f**2 + 2*f**l = 0.
0, 1
Let -2*r**2 + 34*r + 58*r + 4*r**2 - 192 = 0. What is r?
-48, 2
Let a(x) be the second derivative of x**5/10 - 5*x**4 + 64*x**3 + 512*x**2 + x + 21. Solve a(w) = 0 for w.
-2, 16
Let q = 898/95 - 172/19. Factor 0 + 2/5*b**2 + q*b.
2*b*(b + 1)/5
Solve -3/2*h - 2 + 1/8*h**3 + 0*h**2 = 0.
-2, 4
Let 13 + 2*f**2 + 16446*f + 111 - 16320*f = 0. Calculate f.
-62, -1
Let n = -5 - -9. Suppose n*k = t - 1, 3*k - t + 1 = -0*t. Factor 1/4*r**4 + 1/4 + 0*r + k*r**3 - 1/2*r**2.
(r - 1)**2*(r + 1)**2/4
Let t be ((-172)/344)/((-3)/10). Determine b so that t*b**4 - 2/3 - 7/3*b - b**2 + 7/3*b**3 = 0.
-1, -2/5, 1
Let c(l) = -l**2 + 2*l + 7. Suppose -6*t - 27 = -3*t. Let o(d) = 5. Let s(i) = -1. Let q(u) = t*s(u) - 2*o(u). Let r(a) = -c(a) - 4*q(a). Factor r(z).
(z - 3)*(z + 1)
Let x(t) be the first derivative of t**4 - 68*t**3/3 - 36*t**2 + 117. Factor x(w).
4*w*(w - 18)*(w + 1)
Let z = 39598 - 39595. Determine o, given that -32/7*o**4 + 0 - 16/7*o**z + 0*o - 2/7*o**2 = 0.
-1/4, 0
Let x be ((-168)/35 + 5)/((-14)/(-105)). Solve -3/4*t**2 - 3/4*t**4 - x*t**3 + 0 + 0*t = 0 for t.
-1, 0
Factor 1/5*i**4 - 8/5*i**2 - 9/5 + 2/5*i**3 - 18/5*i.
(i - 3)*(i + 1)**2*(i + 3)/5
Let z be 33/9 - (-66)/(-396). Factor 0 - 3/2*w**4 + 4*w**3 + w - z*w**2.
-w*(w - 1)**2*(3*w - 2)/2
What is c in -11*c - 10*c + 26*c + 20*c**2 = 0?
-1/4, 0
Let w(c) be the second derivative of c**8/168 + 3*c**7/70 + 17*c**6/180 - c**4/3 + 2*c**3/3 + 16*c. Let i(l) be the second derivative of w(l). Factor i(t).
2*(t + 1)**2*(t + 2)*(5*t - 2)
Let v(r) be the third derivative of 0*r + 0 - 5/24*r**4 + 5/8*r**3 + 1/48*r**5 - 9*r**2. Suppose v(h) = 0. What is h?
1, 3
Let n = -262 - -446. What is c in n*c**3 - 80*c**2 + 113*c**3 - 49*c**3 + 740*c**4 + 300*c**5 - 32*c = 0?
-2, -2/5, 0, 1/3
Let a(v) be the first derivative of v**8/1260 - v**6/270 - 8*v**3/3 + 45. Let o(t) be the third derivative of a(t). Factor o(k).
4*k**2*(k - 1)*(k + 1)/3
Let f be 9 - 2 - (5 + -1)/4. Suppose -17*t = -15*t - f. Find w, given that -3/2*w - 3/2*w**2 - 1/2*w**t - 1/2 = 0.
-1
Let f(s) be the first derivative of -s**7/1260 + s**5/180 - s**3 + 5. Let l(h) be the third derivative of f(h). Suppose l(g) = 0. What is g?
-1, 0, 1
Suppose -5*a - 3455 + 3465 = 0. Determine g so that 4/5*g**a + 0 + 6/5*g**3 + 1/5*g**5 - g**4 - 8/5*g = 0.
-1, 0, 2
Suppose 2*b + 2*z = -22, -4*b - z - 36 = 17. Let g be 20/b*56/(-8). What is c in 8*c**3 - 8*c**2 + g*c**4 + 4*c**3 + 5*c - 2 - 17*c = 0?
-1, -1/5, 1
Solve 1 + 21/2*k**2 + 5/2*k**4 - 17/2*k**3 - 11/2*k = 0 for k.
2/5, 1
Suppose 2*r - 10 = -4*g, r = -3*g + 2*r + 5. Determine p so that 245 - 27*p + 135*p**g - 130*p**2 - 43*p = 0.
7
Suppose 0 = 3*l + 5*y + 58, -3 - 7 = 5*y. Let r = l - -17. Solve -9 - 6*n**2 - 32*n + r + 42*n**2 + 4*n = 0.
-2/9, 1
Factor -2/9*i**2 + 0 + 4/3*i.
-2*i*(i - 6)/9
Let h(r) be the second derivative of 0*r**4 + 0*r**3 + 9*r + 1/120*r**5 + 0*r**2 + 0. Find x, given that h(x) = 0.
0
Let 6/7*w**3 + 12/7*w - 4/7 - 13/7*w**2 - 1/7*w**4 = 0. What is w?
1, 2
Let n(f) = 30 - 85 - 4*f + 42. Let y be n(-4). Suppose 0*l + 0*l**y + 0 - 2/3*l**4 + 2/3*l**2 = 0. What is l?
-1, 0, 1
Let b(s) be the second derivative of -s**9/360 + 17*s**8/1680 - s**7/84 + s**6/180 + 17*s**4/12 + 5*s. Let z(o) be the third derivative of b(o). Solve z(k) = 0.
0, 2/7, 1/3, 1
Let w(i) be the third derivative of -i**6/24 + 5*i**4/6 + 25*i**2 - 2. Factor w(z).
-5*z*(z - 2)*(z + 2)
Let d(k) be the first derivative of 8*k**6/3 + 4*k**5/5 - 20*k**4 - 20*k**3/3 + 32*k**2 + 16*k - 15. What is x in d(x) = 0?
-2, -1, -1/4, 1, 2
Let s(m) = m**2 - 2*m + 81. Let t be s(0). Factor t + 6*h**3 + 22*h**2 - 83 - h + 18*h**3 - 3*h.
2*(h + 1)*(3*h - 1)*(4*h + 1)
Let g(z) = -2*z**2 - z + 1. Let m(f) = -2*f**2 + 2. Let s(h) = -6*g(h) + 7*m(h). Find o, given that s(o) = 0.
-1, 4
Let c(p) be the third derivative of p**7/70 - 3*p**6/20 - 7*p**5/20 + 175*p**2. Factor c(k).
3*k**2*(k - 7)*(k + 1)
Let o = 3 - -2. Let z = 3 + o. Determine m, given that 20*m**4 - z + 4*m**3 - 16*m**2 - 20*m - 16*m**4 + 4*m**2 = 0.
-1, 2
Let d(l) = l**3 + 20*l**2 - 44*l + 9. Let m be d(-22). Suppose -9*n**2 - 4*n + 2*n**3 + 12*n**4 - 8*n**3 