*u**2 + k - 1/5*u**5 - 6/5*u**q - 4/5*u**4.
-u*(u + 1)**4/5
Suppose -5*v = f - 55, 4*f - 4*v - 297 = -53. Suppose -f*i + 183 = i. Let 0*g - 3/2*g**i + 3/2*g**2 + 0 = 0. What is g?
0, 1
Let w(v) = 9*v**2 - 84*v - 150. Let g(p) = 20*p**2 - 172*p - 298. Let c(l) = -3*g(l) + 7*w(l). Suppose c(z) = 0. Calculate z.
-2, 26
Let 16583*v**2 - 290*v - 8284*v**2 - 3015 - 8294*v**2 = 0. What is v?
-9, 67
Let n = -144821/16 + 9052. Let y(s) be the first derivative of -1/32*s**4 - n*s**2 + 5/8*s - 17 + 7/24*s**3. What is r in y(r) = 0?
1, 5
Suppose -100 = -595*x + 570*x. Let k(p) be the second derivative of 8*p - 1/2*p**3 + 1/4*p**x - 3*p**2 + 0. Suppose k(f) = 0. What is f?
-1, 2
Let m(g) = 3*g - 4. Let a be m(4). Let r be 38 + (6/a)/(4/(-16)). Solve 36 - r*n + n**2 + 32*n + 15*n = 0.
-6
Determine o so that 66/7 - 69/7*o + 3/7*o**2 = 0.
1, 22
Let l = -56461 - -56463. Determine n, given that -243/5 + 54/5*n - 3/5*n**l = 0.
9
Suppose 13*w + 12 = 6*w + 33. Let g(y) be the first derivative of 9 - 8*y**2 + 40/3*y**w + y**4 + 2/3*y**6 - 16/5*y**5 - 32*y. Solve g(d) = 0.
-1, 2
Let m(c) be the third derivative of 1089/4*c**3 - 33/16*c**4 - 212*c**2 + 1/160*c**5 + 0 + 0*c. Solve m(n) = 0.
66
Let n(i) be the second derivative of -5*i**4/48 + 2675*i**3/12 + 5355*i**2/8 - 1541*i. Factor n(y).
-5*(y - 1071)*(y + 1)/4
Let j(l) = -l**2 - 4*l - 58. Let u be j(0). Let y = -1098/19 - u. Suppose 2/19*f**3 + 4/19*f**2 - y - 2/19*f = 0. Calculate f.
-2, -1, 1
Let x(y) be the second derivative of y**4/4 - 675*y**3/2 - 8*y - 598. Factor x(w).
3*w*(w - 675)
Let j be (-5)/4*1224/(-255). Suppose 0 = 42*z - 6 + j. Find k, given that z + 58/5*k**3 + 18/5*k**4 + 36/5*k + 78/5*k**2 + 2/5*k**5 = 0.
-3, -2, -1, 0
Let c(x) = 4*x - 5. Let n be c(6). Factor -29*a + 2*a**2 + n*a - 25*a + 968 - 53*a.
2*(a - 22)**2
Let i(o) = -o**3 + 36*o**2 + 31*o + 201. Let b be i(37). Let a be (7/28)/(b/(-24)). Solve -6/7*h + 4/7 + 0*h**2 + a*h**3 = 0 for h.
-2, 1
Let a(l) be the third derivative of -18*l**4 + 0 - 2*l - 56/3*l**3 + 34/105*l**7 - 1/28*l**8 - 61/15*l**5 + 13/10*l**6 - 224*l**2. Find f such that a(f) = 0.
-2, -1, -1/3, 2, 7
Let k(u) be the first derivative of -u**4 + 1712*u**3/3 - 3400*u**2 + 6784*u + 971. Factor k(b).
-4*(b - 424)*(b - 2)**2
Let s(d) be the second derivative of -d**5/80 - 179*d**4/48 - 22*d**3/3 + 89*d**2/2 + 3*d - 1045. What is z in s(z) = 0?
-178, -2, 1
Let i be ((-48)/4)/(4/10). Let p be (37/185)/(0 + (-8)/i). Find v such that 33/8*v**2 + 0 - p*v = 0.
0, 2/11
Suppose 132*o + 1787*o**2 + 290 - 132*o**3 - 2468 + 1582*o**2 + 2854*o**4 - 2852*o**4 - 1193*o**2 = 0. What is o?
-1, 1, 33
Suppose 5*a - 2*r - 1219 = 0, -13*r + 18*r = a - 230. Let y be 5/((-135)/6) + a/252. Find m, given that -y - m - 1/4*m**2 = 0.
-3, -1
Suppose -451 - 359 + 96 = -119*w. Let c(b) be the second derivative of 10*b**3 - 1/6*b**w + 3/2*b**5 - 7*b + 0 - 65/12*b**4 - 10*b**2. Factor c(h).
-5*(h - 2)**2*(h - 1)**2
Let m(a) = -42*a + 6*a**3 + 51*a - 16*a**2 + 3*a**2. Let w(v) = -2*v**3 + v**2 - v. Let h(b) = m(b) + w(b). Factor h(k).
4*k*(k - 2)*(k - 1)
Let n(t) be the third derivative of -7/30*t**5 + 0 + 1/60*t**6 - 4*t - 5/2*t**4 - 4*t**2 + 0*t**3. Factor n(i).
2*i*(i - 10)*(i + 3)
Factor -10*y**3 + 2*y - 4*y - 675*y**2 + 8*y**3 + 12 + 667*y**2 + 0.
-2*(y - 1)*(y + 2)*(y + 3)
Let s(m) be the first derivative of 2*m**3/15 - 498*m**2/5 + 124002*m/5 + 847. Factor s(t).
2*(t - 249)**2/5
Let o be (-8)/(-6) + 1166/(-159). Let j be (8/o - 1/(-3)) + 4. Find p such that 6 + 27/2*p + 3/2*p**j + 9*p**2 = 0.
-4, -1
Factor 336/5 - 19/5*g**2 - 1/5*g**3 - 46/5*g.
-(g - 3)*(g + 8)*(g + 14)/5
Let u(x) be the third derivative of -225 - 1/240*x**5 + 5/96*x**4 - 1/6*x**3 + 0*x - x**2. Factor u(l).
-(l - 4)*(l - 1)/4
Suppose 7*c + 68 - 194 = 0. Let z(d) be the first derivative of 361*d + 16*d**3 + 9 + 0*d**2 + c*d**2 + 5*d**4 - 353*d. Factor z(r).
4*(r + 1)**2*(5*r + 2)
Let q(t) = 10*t - 27. Let z be q(-42). Let w = z + 919/2. Find p such that -5/2*p**4 + 15/2*p**2 + 5 - w*p + 5/2*p**3 = 0.
-2, 1
Let s(t) be the second derivative of t**8/16800 - t**7/2800 + t**5/300 + 21*t**3/2 - 6*t + 4. Let d(v) be the second derivative of s(v). Factor d(f).
f*(f - 2)**2*(f + 1)/10
Solve -90*y - 111*y + 105*y + 46*y**2 - 93*y + 29*y + 152 - 2*y**3 = 0 for y.
2, 19
Solve 0 + 1/6*v**4 + 2*v**3 + 32/3*v + 8*v**2 = 0 for v.
-4, 0
Let t(h) be the second derivative of -1/3*h**4 + 8*h**2 + 8/3*h**3 - 1/5*h**5 - 6*h - 3. Factor t(k).
-4*(k - 2)*(k + 1)*(k + 2)
Suppose 5*d - 19 = -2*q, -5*d + 0*d = -2*q - 11. Suppose n = 2*n - 4*v - 3, 0 = -4*n + 5*v + 12. Suppose 2*g**5 + 14*g - 12*g - 7*g**d + 3*g**n = 0. What is g?
-1, 0, 1
Let t be 8738/102 - (159 - 74). Factor 0 - 8/3*x**3 - t*x**4 + 10/3*x**2 + 0*x.
-2*x**2*(x - 1)*(x + 5)/3
Let n(d) = -d**2 + 33*d - 20. Let a(s) = s**2 - s - 6. Let b(l) = 6*a(l) + 3*n(l). Factor b(m).
3*(m - 1)*(m + 32)
Suppose -2/5*w**4 + 116/5*w**2 + 576/5 - 2/5*w**3 + 512/5*w = 0. Calculate w.
-4, -2, 9
Let s = 1579 - 1576. Let b(h) be the first derivative of 11 + 3*h**4 + 0*h + 4/3*h**s - 4/5*h**5 - 6*h**2. Factor b(r).
-4*r*(r - 3)*(r - 1)*(r + 1)
Let f(t) be the first derivative of 0*t**2 - 225 + 0*t**3 + 0*t + 2/15*t**5 + 1/9*t**6 - 1/3*t**4. Solve f(a) = 0.
-2, 0, 1
Let r be (-31)/(-8)*-2 + 2 - (16 + -358)/57. Suppose -15/2*n + r*n**2 + 225/4 = 0. What is n?
15
Let u(s) be the second derivative of s**5/80 - 463*s**4/48 + 17941*s**3/8 - 53361*s**2/8 + 404*s. Solve u(c) = 0.
1, 231
What is y in -419*y**2 - 30 - 120 - 231*y + 335*y**2 - 3*y**3 = 0?
-25, -2, -1
Let q(j) be the third derivative of j**7/1155 + 179*j**6/660 + 8099*j**5/330 + 7921*j**4/132 - 11*j**2 + 5*j - 2. Factor q(w).
2*w*(w + 1)*(w + 89)**2/11
Let q(v) = -6*v**2 + 36*v. Suppose 0 = -3*u - 6, -5*u + 10 - 40 = 5*o. Let s(n) = -14*n**2 + 73*n. Let b(t) = o*s(t) + 9*q(t). Find i, given that b(i) = 0.
-16, 0
Let l(q) be the second derivative of 0 + 0*q**2 + 48*q - 1/6*q**4 - 4/3*q**3. Factor l(x).
-2*x*(x + 4)
Let q(t) = -40*t - 3. Let o be q(-2). Let c = -60 + 83. Factor -5*u**3 + 2*u - 22 - 35*u**2 - c - o*u.
-5*(u + 1)*(u + 3)**2
Let s(a) = -23*a**3 - 115*a**2 - 1030*a - 2444. Let u(w) = -7*w**3 + w**2 + 2. Let l(c) = -s(c) + 3*u(c). Suppose l(d) = 0. Calculate d.
-49, -5
Suppose -557*x + 554*x + 360 = 0. Factor 5*j - 362 + 482 + 4*j**3 - x*j**2 - 9*j + 0*j.
4*(j - 30)*(j - 1)*(j + 1)
Suppose 359 - 240 = 451*d - 783. What is a in 2/11*a**5 - 8/11*a**3 + 0*a + 6/11*a**4 + 0 - 24/11*a**d = 0?
-3, -2, 0, 2
Suppose -3*z = 1 - 10. Let s = -4411 + 4415. Factor -2*a**5 + 2*a - a**5 - 9*a + 6*a**z + s*a.
-3*a*(a - 1)**2*(a + 1)**2
Suppose 0 = 3*j - 5*a + 31 - 6, 4*a - 20 = j. Let r(k) be the first derivative of 7/4*k**4 + 2/3*k**3 + j*k - 1/2*k**2 - 17 + 4/5*k**5. Factor r(t).
t*(t + 1)**2*(4*t - 1)
Suppose 0 = -8*g + 2*g - 18. Let q be (-10)/g - ((-8)/3 - -3). Factor -7*u + 0*u - 16*u**q - 13*u - 15*u**4 + 51*u**3.
-5*u*(u - 2)*(u - 1)*(3*u + 2)
Let q(x) be the first derivative of 2*x**3/63 - 11*x**2/3 + 148*x/7 + 57. Solve q(l) = 0.
3, 74
Let o = 712194 + -712192. Factor 2*a + 4/3 + 2*a**3 - 16/3*a**o.
2*(a - 2)*(a - 1)*(3*a + 1)/3
Let f = 50136 + -50136. Let -3*i**3 - 4/5*i + f + 13/5*i**2 + 7/5*i**4 - 1/5*i**5 = 0. Calculate i.
0, 1, 4
Factor 39*j**2 + 0*j + 10*j - 11*j**2 - 18*j**2 - 12*j**2 - 12.
-2*(j - 3)*(j - 2)
Suppose 4*m - 1452 = -2*u, -3*m + 3*u = -1616 + 527. Factor -3*q**3 - 3*q**3 + 2*q**4 - m*q**2 + 297*q**2 - 106*q - 48.
2*(q - 8)*(q + 1)**2*(q + 3)
Suppose -24/7*n + 27/7 - 3/7*n**2 = 0. Calculate n.
-9, 1
Let u(f) be the first derivative of 5/12*f**3 + 1/2*f**2 - 85 + 1/16*f**4 + 0*f. Let u(b) = 0. What is b?
-4, -1, 0
Let c(i) be the second derivative of -i**5/80 + 1137*i**4/8 - 1292769*i**3/2 + 1469878353*i**2 - 218*i. Factor c(x).
-(x - 2274)**3/4
Let y(g) be the first derivative of 5*g**4/4 - 2000*g**3/3 - 4030*g**2 - 8080*g + 3785. Factor y(m).
5*(m - 404)*(m + 2)**2
Suppose -4*s**2 - 3*s**2 + 22*s**2 - 3*s**2 + 480*s + 28800 - 10*s**2 = 0. What is s?
-120
Suppose 3*a + 9 = c, 2*c + 5*a = 7*c - 25. Factor -12*b**2 + 6*b + 116*b**c + 67*b - b**2 - 36 - 25*b**2 - 115*b**3.
(b - 36)*(b - 1)**2
Find u such that -3*u**2 + 2741481 - 2741481 + 3*u**4 = 0.
-1, 0, 1
Let j(a) be the third derivative of a**8/672 + 17*a**7/840 + 43*a**6/480 + 11*