1/150*q**6 + 0*q**5 + 0*q**4 + 0*q + 0 - 1/105*q**7. Let u(j) = 0. Calculate j.
-2, 0, 1/3
Let p be 51 + -57 - (3/1 - 12). Determine r so that -3/5*r**p + 0*r - 9/5*r**2 + 12/5 = 0.
-2, 1
Let m be 4628/14196 + 12/(-52). Let j(a) be the first derivative of m*a**3 + 8 + 8/7*a - 4/7*a**2. Factor j(s).
2*(s - 2)**2/7
Let k be 10/(-100)*(-4)/1. Let f(y) = -y**2 + 17*y + 60. Let l be f(20). Let -2/5*h - k*h**2 + l = 0. What is h?
-1, 0
Let b(h) = -11*h**4 + 8*h**3 + 4*h**2 - 48*h + 44. Let s(j) = 9*j**4 - 9*j**3 - 3*j**2 + 48*j - 45. Let i(n) = -3*b(n) - 4*s(n). Suppose i(u) = 0. Calculate u.
-2, 2
Let s(u) be the first derivative of u**4/18 + 2*u**3/27 - 5*u**2/9 + 2*u/3 + 53. Let s(w) = 0. What is w?
-3, 1
Let w be 4/10 + 186/(-140). Let k = 4/7 - w. Factor 9/4 + 1/4*v**2 + k*v.
(v + 3)**2/4
Suppose -4*x**3 - 2595*x + 95*x - 8920*x**2 + 9120*x**2 = 0. Calculate x.
0, 25
Let f(o) be the first derivative of -14*o**5/5 - 103*o**4/2 - 330*o**3 - 725*o**2 + 500*o + 178. Factor f(x).
-2*(x + 5)**3*(7*x - 2)
Factor -237*s**2 + 36 - 44*s - 3*s**3 - 16*s + 264*s**2.
-3*(s - 6)*(s - 2)*(s - 1)
Suppose n - 117 = -4*u, -4*n - 7*u = -3*u - 444. Let w = -543/5 + n. Suppose -8/5*k**4 + w*k**5 - 16/5 + 4*k**2 - 8/5*k + 2/5*k**3 = 0. What is k?
-1, 2
Let g(p) = -7*p**2 + 25*p + 29. Let b(t) = 39*t**2 - 151*t - 173. Let q(r) = -6*b(r) - 34*g(r). Let q(w) = 0. What is w?
-13, -1
Let x = 13 + -10. Find y, given that -16*y**2 - 8*y**4 + 19*y**3 - 5*y**3 - 4*y**5 + 14*y**x = 0.
-4, 0, 1
Let d be 2/(-3)*(-7 - (-72)/18). Let a(i) be the second derivative of 4/33*i**3 + 1/110*i**5 + 0*i**d + 9*i + 0 - 2/33*i**4. Factor a(l).
2*l*(l - 2)**2/11
Let j be (-8 - 259/(-21)) + 4/6. Let -14/9*i**2 + 14/9*i**4 - 4/9*i + 10/9*i**j - 2/3*i**3 + 0 = 0. Calculate i.
-1, -2/5, 0, 1
Factor 130*j**2 - 4*j - 389*j**2 + 133*j**2 + 127*j**2.
j*(j - 4)
Let p(x) = x - 6. Let k(i) = -i**2 - 10*i + 8. Let h be k(-10). Let u be p(h). Factor 0*q**2 - 7*q**u + 3*q**2 - 2*q**3.
-2*q**2*(q + 2)
Let v(k) = -k**3 - 2*k**2 + 2*k - 1. Let z be v(-3). Let z*s**3 + 1467*s - 1467*s = 0. What is s?
0
Let t(j) be the third derivative of 0*j + 0 - 16*j**2 - 1/3*j**4 + 2*j**3 - 1/15*j**5. Let t(h) = 0. Calculate h.
-3, 1
Determine o so that -12*o**3 - 5*o**2 + 5*o**2 + 122*o**5 - 119*o**5 = 0.
-2, 0, 2
Factor -25/9*r**2 + 22/9*r**3 + 0 + 2/3*r - 1/3*r**4.
-r*(r - 6)*(r - 1)*(3*r - 1)/9
Let t(i) be the second derivative of i**4/12 - i**3/6 - 3*i**2 - 158*i. Solve t(u) = 0 for u.
-2, 3
Let d(t) be the third derivative of -t**5/120 + 11*t**4/48 + 6*t**2 - 7*t. Determine v so that d(v) = 0.
0, 11
Let y be (-3 - -4 - 0)/(-17)*-50. What is g in -y*g**4 + 128/17*g - 32/17 - 48/17*g**2 - 160/17*g**3 = 0?
-2, 2/5
Suppose 2/7*q**2 - 64/7*q - 66/7 = 0. Calculate q.
-1, 33
Let c(m) = 2*m**3 + 10*m**2 - 23*m + 8. Let k(h) = -5*h**3 - 31*h**2 + 69*h - 25. Let l(q) = -8*c(q) - 3*k(q). Suppose l(z) = 0. Calculate z.
1, 11
Factor 1/2*h**3 + 0 + 3*h + 5/2*h**2.
h*(h + 2)*(h + 3)/2
Let f be (-4275)/(-165) - 69/3. Determine w so that f + 224/11*w - 238/11*w**4 - 160/11*w**3 + 368/11*w**2 + 98/11*w**5 = 0.
-1, -2/7, 2
Factor 3/5*i**2 - 324/5 + 69/5*i.
3*(i - 4)*(i + 27)/5
Let d(a) be the first derivative of -9/20*a**4 + 13 - 1/5*a**2 - 1/30*a**6 - 1/5*a**5 - 7/15*a**3 + 0*a. Suppose d(g) = 0. Calculate g.
-2, -1, 0
Let z(s) be the first derivative of -5*s**6/6 - 23*s**5/5 + 104*s**3/3 + 40*s**2 - 48*s + 9. Suppose z(r) = 0. Calculate r.
-3, -2, 2/5, 2
Suppose 0 = -14*d + 124 + 44. Let n(r) be the second derivative of -1/3*r**4 - 8*r**2 - d*r + 8/3*r**3 + 0. Suppose n(m) = 0. What is m?
2
Let v(y) be the second derivative of y**6/15 + 3*y**5/10 + 22*y + 1. Determine s, given that v(s) = 0.
-3, 0
Let q(l) = -3*l**3 - 9*l**2 - 6*l. Let n be q(-2). Suppose g = 2*k + 8, -5*g - 16 = -n*g + 4*k. Factor 2/19*p**2 - 2/19*p + g.
2*p*(p - 1)/19
Factor -2/13*q**4 - 4/13*q**3 + 6/13*q**2 + 0 + 0*q.
-2*q**2*(q - 1)*(q + 3)/13
Solve 4/3*u + 1/3*u**2 + 1 = 0.
-3, -1
Let y = 39464 + -434102/11. What is t in -9/11*t + 2/11 - 4/11*t**4 + y*t**2 + 9/11*t**3 = 0?
-1, 1/4, 1, 2
Let u = -1/1707 + 1709/3414. Determine h, given that -1 + 21/2*h**2 + u*h = 0.
-1/3, 2/7
Let j(k) be the first derivative of -2*k**7/105 + k**5/5 - k**4/3 + 2*k**2 - 21. Let o(w) be the second derivative of j(w). Factor o(d).
-4*d*(d - 1)**2*(d + 2)
Find l, given that 0 - 4/5*l**3 - 8/5*l**2 - 4/5*l = 0.
-1, 0
Let p = -13/184 + 1931/1288. Factor 12/7 - p*a + 2/7*a**2.
2*(a - 3)*(a - 2)/7
Let j be (-24)/(-18)*83/830. Factor 2/15*x**2 + 0 + 0*x + j*x**4 + 4/15*x**3.
2*x**2*(x + 1)**2/15
Suppose 0 = 9*r - 3*r - 108. Suppose 0 = -5*z - 3*g + r + 22, 4*z - 10 = 2*g. Let 0 + 20/3*c**2 - 28*c**z + 13/3*c**3 - 4/3*c - 95/3*c**4 = 0. What is c?
-1, -2/3, 0, 1/4, 2/7
Suppose 72*q - 70 = 77*q. Let u be (12/(-5))/(q/10). Factor 4/7*g**3 - 12/7*g**2 + u*g - 4/7.
4*(g - 1)**3/7
Let h(b) = -54*b**2 - 238*b - 252. Let g(r) = 2*r**3 + 273*r**2 + 1189*r + 1258. Let i(t) = 2*g(t) + 11*h(t). Factor i(a).
4*(a - 16)*(a + 2)**2
Let 416*p + 5676 + 3*p**2 + 5140 + p**2 = 0. What is p?
-52
Let z(m) be the first derivative of m**3/8 + 3*m**2/4 - 63*m/8 + 200. Factor z(p).
3*(p - 3)*(p + 7)/8
Let f(b) be the second derivative of b**4/54 - 11*b**3/27 + 10*b**2/9 - 29*b. Factor f(x).
2*(x - 10)*(x - 1)/9
Let b = -7580 + 37909/5. Factor -b*r + 12/5*r**2 - 3/5*r**3 + 0.
-3*r*(r - 3)*(r - 1)/5
Suppose -3/4*r**4 - 1/2*r**3 - 1/4*r**5 + 0*r**2 + 0 + 0*r = 0. What is r?
-2, -1, 0
Let m(g) be the first derivative of 8*g**3 + 42*g**2 + 147*g/2 + 26. What is b in m(b) = 0?
-7/4
Let u(g) be the second derivative of g**6/60 - 143*g**5/20 + 1140*g**4 - 442225*g**3/6 + 857375*g**2/4 + 647*g + 2. Let u(v) = 0. What is v?
1, 95
Let b(v) be the second derivative of -v**6/420 - v**5/140 - 17*v**2 - 5*v + 3. Let s(c) be the first derivative of b(c). Factor s(d).
-d**2*(2*d + 3)/7
Suppose 0 = -2*h - 4*z - 6, 0 = 3*h + 73*z - 72*z - 6. Determine v so that -2*v**h - 2*v**2 + 0 - 1/2*v = 0.
-1/2, 0
Let n(t) = -10*t - 117. Let f be n(-12). Let q be 10/30*((-27)/(-6) - f). Factor q*s**2 - 1/2*s - 1/2*s**4 + 1/2*s**3 + 0.
-s*(s - 1)**2*(s + 1)/2
Suppose -155*p + 739 = 119. Suppose 4/9*m**p - 4/9*m**2 + 8/9*m**3 - 8/9*m + 0 = 0. What is m?
-2, -1, 0, 1
Suppose 3*c - 6 = -4*o, 5*c = o + 4*o + 10. Factor 10*d**2 + 22*d - 6*d**c - 6*d**2.
-2*d*(d - 11)
Factor 0*l - 351/2*l**3 + 699/4*l**2 + 3/4*l**4 + 0.
3*l**2*(l - 233)*(l - 1)/4
Let c(a) be the second derivative of 18*a - 1/3*a**3 + 0 + 1/24*a**4 + a**2. Let c(f) = 0. What is f?
2
Suppose -4*t - 36 = -5*t. Suppose 7*v - t = -5*v. Solve 6/5*n**2 + 14/5*n**4 + 0 - 24/5*n**v + 4/5*n = 0.
-2/7, 0, 1
Let u(c) = -c**2 - 39*c - 358. Let o be u(-24). Factor 2/5*s**o + 4/5*s - 6/5.
2*(s - 1)*(s + 3)/5
Let p(u) = 7*u**2 + 270*u + 18231. Let t(d) = 2*d**2 + 2. Let o(n) = p(n) - 3*t(n). Factor o(s).
(s + 135)**2
Let s(j) = 4*j**2 - 37*j - 75. Let r = 124 - 119. Let t(w) = 3*w**2 - 25*w - 50. Let y(m) = r*s(m) - 7*t(m). Find n such that y(n) = 0.
-5
Suppose -1 = t - 0*t. Let x be t/(1*2/(-6)). Let 4*k + 3 + 0 - x*k**2 + 4*k**2 = 0. What is k?
-3, -1
Let q = -19765/9 - -2197. Solve -q - 18*r**2 - 8*r = 0.
-2/9
Suppose -6*z - 16*z - 7*z = -87. Let 2/9*i + 0 - 2/9*i**z + 0*i**2 = 0. Calculate i.
-1, 0, 1
Let f = 10 + -4. Find u, given that f*u + 5*u**2 - 3*u**2 - 4*u + 0*u**2 = 0.
-1, 0
Let j be (-6 - -3)/3*-2. Let m(s) be the third derivative of -7*s**2 - 10/21*s**7 - 8/3*s**3 - j*s**4 + 0*s + s**6 + 11/15*s**5 + 0. Factor m(x).
-4*(x - 1)**2*(5*x + 2)**2
Let r(d) be the second derivative of d**7/14 + 7*d**6/10 + 9*d**5/4 + 13*d**4/4 + 2*d**3 + 2*d + 2. Factor r(q).
3*q*(q + 1)**3*(q + 4)
Let u(i) be the third derivative of 5*i**8/336 - 5*i**7/42 - i**6/4 + 8*i**5/3 + 20*i**4/3 - 70*i**2. Determine l, given that u(l) = 0.
-2, -1, 0, 4
Let q be ((-2)/155)/((-6)/30)*1. Let b = q + 27/62. Find i, given that -3/4*i**3 + 1/4*i + 0 + b*i**2 = 0.
-1/3, 0, 1
Factor 0 + 13/4*j**3 - j**4 + 1/2*j - 11/4*j**2.
-j*(j - 2)*(j - 1)*(4*j - 1)/4
Suppose -15 - 67 = -41*i. Determine q, given that -3/4*q**3 + 3/2*q**i - 3/2 + 3/4*q = 0.
-1, 1, 2
Let t(s) be the second derivative of -1/10*s**6 - 15*s + 1/6*s**4 + 1/42*s**7 + 0 - 1/2*s**3 + 1/2*s**2 + 1/10*s**5. Suppose t(q) = 0. What is q?
-1, 1
Let v(k) be the fi