x - 7*x**5 + 10*x**5 + 72*x**3 - 18*x**2 + 24*x**4 = 0. Calculate x.
-2, 0
Let s(g) be the first derivative of -5*g**8/336 + 3*g**2/2 + 8. Let d(m) be the second derivative of s(m). Factor d(o).
-5*o**5
Factor 59*z**3 + 1600 + 3*z**4 + 1441*z**2 - 2969*z + 19*z**3 - 151*z - 2*z**4.
(z - 1)**2*(z + 40)**2
Let g be (-4 - (-867)/216)*(-2 + 4). Let o(y) be the second derivative of 0 + 0*y**5 - 1/36*y**4 - 1/252*y**7 + 7*y + 0*y**2 + 1/90*y**6 + g*y**3. Factor o(i).
-i*(i - 1)**3*(i + 1)/6
Let p(q) = 2*q**2 - 64*q - 60. Let z(v) = 11*v**2 - 385*v - 362. Let n(b) = -34*p(b) + 6*z(b). Determine f, given that n(f) = 0.
-66, -1
Let s(k) be the second derivative of -6*k + 0 - 9/10*k**5 - 2/5*k**6 + 5/21*k**7 + 0*k**2 + 0*k**3 + 1/3*k**4. Find y such that s(y) = 0.
-1, 0, 1/5, 2
Let x(n) be the third derivative of n**7/3780 + n**6/360 - 5*n**4/24 + 3*n**2. Let q(m) be the second derivative of x(m). Solve q(s) = 0.
-3, 0
Let k = -29/41 - -186/205. Let s = 57/4 + -277/20. Suppose k + 1/5*x**2 + s*x = 0. Calculate x.
-1
Factor -1/3*i**3 + 1/3 - 1/3*i**2 + 1/3*i.
-(i - 1)*(i + 1)**2/3
Suppose u + 88 = 4*w, -5*u + 0*u + 88 = 4*w. Let g be (11/w)/((-1)/(-6)). What is p in -36/13*p**4 - 10/13*p**5 + 0 - 34/13*p**g + 0*p**2 + 8/13*p = 0?
-2, -1, 0, 2/5
Let z be 14/(2 + (3 - 6)). Let m = z - -17. Let 3*v**3 + 4*v**3 - 4*v**m = 0. Calculate v.
0
Let w(q) be the first derivative of 4*q**3/3 - 48*q**2 + 476*q - 849. Solve w(f) = 0 for f.
7, 17
Let o(i) be the second derivative of 7*i**5/10 - 3*i**4/2 - 4*i**3 + 4*i**2 - 30*i - 1. Factor o(p).
2*(p - 2)*(p + 1)*(7*p - 2)
Let r = 56 + -52. Solve 17 - 6 - 10*s**3 - 10 - 6 + 10*s + 5*s**r = 0.
-1, 1
Let u = -8132/5775 - -31/22. Let m(r) be the third derivative of 0*r**5 - 1/840*r**8 + 0 + 0*r + 1/600*r**6 - u*r**7 + 0*r**3 + 0*r**4 - 3*r**2. Factor m(x).
-x**3*(x + 1)*(2*x - 1)/5
Let a(i) = -5*i**3 + 0 + 18 - 8 + 15*i. Let r(h) = 60*h**3 - 180*h - 120. Let p(d) = 25*a(d) + 2*r(d). Solve p(b) = 0 for b.
-1, 2
Let b(z) be the first derivative of -1/6*z**3 + 0*z - 1/4*z**2 + 10. Factor b(k).
-k*(k + 1)/2
Let 0*r**2 + 0 + 10/3*r**4 + 0*r - 4*r**3 + 2/3*r**5 = 0. Calculate r.
-6, 0, 1
What is y in -2/11*y**2 + 2*y - 36/11 = 0?
2, 9
Let v(s) be the first derivative of s**7/98 + s**6/70 - 3*s**5/35 - s**4/7 + 8*s + 15. Let d(j) be the first derivative of v(j). Suppose d(q) = 0. What is q?
-2, -1, 0, 2
Factor 0*s**2 + 0*s - 6/5*s**4 + 0 + 8/5*s**3 + 1/5*s**5.
s**3*(s - 4)*(s - 2)/5
Let g(m) = -m**2 + 2*m + 10. Let p be g(4). Factor -5*h - 5*h**2 + h**p + h**2 + 2*h**2 - 4.
-(h + 1)*(h + 4)
Suppose 68/7*k**3 + 2/7*k**5 + 58/7*k - 92/7*k**2 - 2 - 22/7*k**4 = 0. What is k?
1, 7
Let c(t) be the first derivative of -t**5/10 - t**4/2 - 10*t + 8. Let v(g) be the first derivative of c(g). Determine w, given that v(w) = 0.
-3, 0
Let p be 636/84 + 8/(-14). Suppose p*n - 11*n = 0. What is r in 12*r**3 - 15*r**3 + 6*r**4 + n*r**4 = 0?
0, 1/2
Suppose -3*x + 2 + 22 = 0. Factor -340*h**2 - x*h + 0*h + 328*h**2 - 4*h**3.
-4*h*(h + 1)*(h + 2)
Let k(p) be the second derivative of 0 + 1/10*p**5 - p + 1/6*p**4 - 1/3*p**3 - p**2. Let k(h) = 0. Calculate h.
-1, 1
Let m = 1198 - 1193. Factor 1/2*o**3 + 1/2*o**2 + 1/4*o**m - 3/4*o + 1/4 - 3/4*o**4.
(o - 1)**4*(o + 1)/4
Let o(z) be the third derivative of z**9/168 - z**8/80 + z**7/140 - 5*z**3/6 + 2*z**2. Let g(t) be the first derivative of o(t). Determine k so that g(k) = 0.
0, 1/2, 2/3
Factor 12/5*c + 0 + 24/5*c**2 + 3/5*c**4 + 3*c**3.
3*c*(c + 1)*(c + 2)**2/5
Let x = 6/109 + -781/327. Let f = -2 - x. Factor 2/3*i**2 - f*i**3 - 1/3*i + 0.
-i*(i - 1)**2/3
Let f be 1 - (6 - 2) - (-9 + -2). Solve -4*t**5 + 2*t**3 + 8*t**4 - 3*t**2 - 16*t - 5*t**2 + 10*t**3 - f*t**2 = 0.
-1, 0, 2
Factor -36*a + 3*a**3 + 636 + 63*a**2 - 237 + 396*a + 0*a**3 + 225.
3*(a + 4)**2*(a + 13)
Suppose -4*x + x + 3*m = 6, -m + 11 = 2*x. Let i(l) be the first derivative of 1/4*l**4 + 0*l**x + 3 - 1/2*l**2 + 0*l. Suppose i(k) = 0. Calculate k.
-1, 0, 1
Let o be (-2)/4 + 220/88. Let n(v) be the first derivative of -2/21*v**3 + 5 + 1/28*v**4 - 1/14*v**o + 2/7*v. Suppose n(x) = 0. What is x?
-1, 1, 2
Let l(c) be the second derivative of -c**8/560 + c**7/70 - c**6/24 + c**5/20 - 5*c**3 + 32*c. Let a(w) be the second derivative of l(w). Factor a(b).
-3*b*(b - 2)*(b - 1)**2
Let x = -1 - -5. Let u(l) = 2*l**4 + 4*l**3 + 7*l**2. Let s(g) = 28*g - 6*g**2 - 28*g - 2*g**4 - 4*g**3. Let p(n) = x*u(n) + 5*s(n). Find z such that p(z) = 0.
-1, 0
Let u(a) = a**3 + 2*a**2 - 4*a - 3. Let v be u(-3). Factor -3/2*m**2 - m + v*m**3 + 1/2*m**4 + 0.
m*(m - 2)*(m + 1)**2/2
Suppose 40 - 61*f**2 - 64*f + 21*f**2 + 5*f**3 + 59*f = 0. Calculate f.
-1, 1, 8
Factor -8*w**2 + 146*w**4 + 147*w**4 + 0*w**3 - 4*w**3 - 289*w**4.
4*w**2*(w - 2)*(w + 1)
Let g(z) be the second derivative of 3*z**5/20 + 29*z**4/4 + 112*z**3 + 294*z**2 - 2*z - 66. Determine h, given that g(h) = 0.
-14, -1
Factor -13203*h - 6561 - 1/4*h**4 - 163/2*h**3 - 26893/4*h**2.
-(h + 1)**2*(h + 162)**2/4
Let f = 7189/5 + -21562/15. Factor 5/3*w + 1 + 1/3*w**2 - f*w**3.
-(w - 3)*(w + 1)**2/3
Let n(f) be the third derivative of f**5/40 - 13*f**4/16 - 12*f**3 + 242*f**2 - 2*f. Suppose n(q) = 0. Calculate q.
-3, 16
Let p(m) be the first derivative of 4*m**3/3 - 4*m**2 + 82. Factor p(c).
4*c*(c - 2)
Find n such that -1024*n + 16*n**5 - 453*n**2 + 2211*n**3 + 3653*n**2 - 69*n**3 - 500*n**4 + 1566*n**3 = 0.
-1, 0, 1/4, 16
Let k(d) be the first derivative of d**6/3 - 14*d**5/5 + 3*d**4 + 227. Factor k(b).
2*b**3*(b - 6)*(b - 1)
Let c(g) be the first derivative of -g**4/22 - 8*g**3/33 + 12*g**2/11 + 34. Find p, given that c(p) = 0.
-6, 0, 2
Let s(o) be the third derivative of -o**5/15 - 20*o**4/3 - 152*o**3/3 + 810*o**2. Factor s(w).
-4*(w + 2)*(w + 38)
Let a(r) be the second derivative of 2*r**7/21 + 12*r**6/5 + 84*r**5/5 + 152*r**4/3 + 64*r**3 - 3*r + 33. Suppose a(v) = 0. What is v?
-12, -2, 0
Factor 2*x**4 + 2*x**3 - 12*x**3 - 14*x + 175 - 171 + 18*x**2 + 0*x**3.
2*(x - 2)*(x - 1)**3
Let t = 3585 - 3582. Let -15*o**2 + 0 - 18*o**t - 9*o**4 - 3/2*o**5 - 9/2*o = 0. Calculate o.
-3, -1, 0
Let u be (4/(-2))/((7/(-9)*-9)/(-1)). Let x be 8/(2 - 1/4). Factor -16/7*v - x - u*v**2.
-2*(v + 4)**2/7
Let l(b) be the second derivative of 7*b - 1/50*b**5 + 1/20*b**4 - 1/150*b**6 + 2/15*b**3 - 2/5*b**2 + 0. Let l(i) = 0. Calculate i.
-2, 1
Suppose -c = 2*z + 7, -3 = -3*c + 2*z - 8. Let a = 7 + c. Factor -31*v**2 - 183 - 73 - 17*v**2 - a*v**3 - 192*v.
-4*(v + 4)**3
Suppose 82*c = 420*c + 4*c. Find l, given that -2/7*l**3 + 4/7*l**2 + c*l + 0 = 0.
0, 2
Let i be (1 + 26/(-6))*3. Let f be (i/6)/((-7)/21). Factor -10 - 2*x**2 + f*x**2 + 4 - 9*x**3 + 3*x**4 + 9*x.
3*(x - 2)*(x - 1)**2*(x + 1)
Let t = 287 + -284. Let f(l) be the first derivative of 2/85*l**5 + 0*l**2 + 0*l**4 + 0*l + 6 - 2/51*l**t. Suppose f(k) = 0. Calculate k.
-1, 0, 1
Let v(u) be the first derivative of u**5/30 - 7*u**4/24 + u**3/3 - 77. Solve v(l) = 0 for l.
0, 1, 6
Let t(r) be the first derivative of -28 - 2/3*r**2 - 16/9*r**3 + 0*r. Factor t(p).
-4*p*(4*p + 1)/3
Determine l so that 15 + 37*l**2 - 30*l**2 + 3*l**3 + 33 - 94*l + 37*l**2 - l**3 = 0.
-24, 1
Suppose -4*o = 3*b - 22, 2*o - 3*o = -2*b. Factor 2/3*w**b + 0 + 2/3*w**3 + 0*w.
2*w**2*(w + 1)/3
Factor 3*a - 45 + 21/5*a**2 - 3/5*a**3.
-3*(a - 5)**2*(a + 3)/5
Let m(f) be the third derivative of f**6/6 + 8*f**5/15 - 11*f**4/6 - 28*f**3/3 + 302*f**2. Factor m(q).
4*(q + 1)*(q + 2)*(5*q - 7)
Let c = 54 + -53. Suppose -2*t - 7 - c + 8 + 2*t**4 - 2*t**2 + 2*t**3 = 0. Calculate t.
-1, 0, 1
Let v(i) be the first derivative of -15*i**4 + 112*i**3/3 - 22*i**2 - 8*i - 135. Factor v(m).
-4*(m - 1)**2*(15*m + 2)
Suppose -p = -4*w - 2, 4*p - 2*w + 0*w = 8. Find x such that 2*x**2 - 4 + 9*x**2 - 2*x**2 - 20*x + 2*x**p = 0.
-2/11, 2
Let a = 0 + 3. Suppose -3*o - o = 5*u + 17, 5*o - 4*u = 30. Let r(n) = -2*n**3 + 2. Let s(l) = 2*l**3 - l**2 - 3. Let c(z) = a*r(z) + o*s(z). Factor c(g).
-2*g**2*(g + 1)
Factor 1/5*c**4 - 1/5*c**2 - 1/5*c + 0 + 1/5*c**3.
c*(c - 1)*(c + 1)**2/5
Suppose -38*i + 39*i - 5*a = 10, -3*a - 6 = -4*i. Let s(r) be the first derivative of -6 + 10/3*r**3 + i*r - 3*r**2 + r**4. Factor s(y).
2*y*(y + 3)*(2*y - 1)
What is b in 24/7*b**3 + 0 + 32/7*b - 120/7*b**2 + 2*b**4 = 0?
-4, 0, 2/7, 2
Let r