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Let k = 43 - 39. Find o such that 135*o - 316 + 125*o**2 - 135*o**3 + 5*o**4 + 186 + 0*o**4 + 0*o**k = 0.
-1, 1, 26
Suppose -8 = -4*b, 11*b = -4*h + 8*b + 42. Factor -20*v**2 - h*v - 5*v**3 + 7*v + 57*v - 30.
-5*(v - 1)**2*(v + 6)
Let s(c) be the second derivative of c**7/273 + c**6/39 - 5*c**5/26 - 5*c**4/6 + 40*c**3/13 + 252*c**2/13 + 1120*c. Solve s(f) = 0.
-7, -2, 3
Let s(t) be the first derivative of -4*t**3/3 + 4*t**2 - 4*t - 499. Find k such that s(k) = 0.
1
Let a(j) be the second derivative of -2*j**7/21 - 14*j**6/15 - 18*j**5/5 - 20*j**4/3 - 16*j**3/3 - 1107*j - 1. Suppose a(c) = 0. Calculate c.
-2, -1, 0
Let r(x) be the first derivative of -x**4/4 - 9*x**3 - 135*x**2/2 - 189*x - 1326. Suppose r(k) = 0. Calculate k.
-21, -3
Let r be 5922/94 + -46 + -12. Solve -3/5*v**r - 63/5*v**2 + 168/5*v + 144/5 + 27/5*v**4 - 57/5*v**3 = 0 for v.
-1, 3, 4
Let i = -7 + 10. Determine m so that -12*m + 16*m**3 + 14*m**4 - 7*m**i - 17*m**4 = 0.
-1, 0, 2
Let l = 13028972/17 - 766410. Determine j, given that 164/17*j**2 - l*j**4 - 2/17*j**5 + 100/17*j**3 - 610/17*j + 350/17 = 0.
-5, 1, 7
Let x be 11/(-418)*(-1102)/116. Factor -1/4*k**3 + x*k**4 - 7/4*k**2 + 13/4*k - 3/2.
(k - 2)*(k - 1)**2*(k + 3)/4
Let q(j) be the first derivative of j**4/48 + 3*j**3/4 + 4*j**2 - 259*j - 117. Let s(g) be the first derivative of q(g). Factor s(v).
(v + 2)*(v + 16)/4
Let k be 750/3500 + 3/14. Suppose 0*z**3 - 6/7*z**2 + 0 + 6/7*z**4 - k*z**5 + 3/7*z = 0. Calculate z.
-1, 0, 1
Let m be 13896/(-6048) + 2/(-6). Let l = -50/21 - m. Factor -l*k**2 + 0 + 9/4*k.
-k*(k - 9)/4
Factor 93/7*y**2 - 87/7*y - 6/7.
3*(y - 1)*(31*y + 2)/7
Let x(h) = 85*h**2 - 10325*h + 10165. Let q(t) = -7*t**2 + 860*t - 847. Let m(l) = 25*q(l) + 2*x(l). Determine c, given that m(c) = 0.
1, 169
Let r(o) be the first derivative of 5*o**3/3 - 75*o**2 + 805*o + 710. Factor r(q).
5*(q - 23)*(q - 7)
Factor -2/9*t**2 - 45000 + 200*t.
-2*(t - 450)**2/9
Let x(o) be the third derivative of -o**8/504 - o**7/315 + 7*o**6/60 - 11*o**5/90 - 17*o**4/9 + 20*o**3/3 - 4*o**2 + 11. Suppose x(a) = 0. What is a?
-5, -2, 1, 2, 3
Let d(h) = 8*h - 164. Let o be d(22). Factor 67*l - 2*l**2 - o - 5 + 1 - 55*l.
-2*(l - 4)*(l - 2)
Let p(g) = 115*g + 8510. Let c be p(-74). Solve c - 34/11*i**3 + 0*i**2 + 0*i - 2/11*i**4 = 0.
-17, 0
Let p(g) be the second derivative of -g**5/5 - 631*g**4/12 - 12403*g**3/3 + 6241*g**2/2 - 2*g + 1716. Factor p(b).
-(b + 79)**2*(4*b - 1)
Suppose 4*i - 20 = -0*i. Suppose -2*c + i*d = -4, c + 2 = 2*c + d. Find b such that -c*b - 9*b - b**2 + 0*b**2 + 1 + 4*b**3 + 7*b = 0.
-1, 1/4, 1
Suppose -10*x = 11*x - 63. Let z = 1/26 - -413/78. Let 350/3*b**4 - 124*b**x - z*b + 136/3*b**2 - 98/3*b**5 + 0 = 0. What is b?
0, 2/7, 1, 2
Suppose 6*b + 166*b = -34*b. Find f, given that b - 1/7*f**2 - 4/7*f = 0.
-4, 0
Let n(p) = -2*p**3 + 20*p**2 - 58*p + 32. Let c(s) = -3*s**3 + 18*s**2 - 57*s + 32. Let v be ((-4)/(-2))/((-1)/(-2)). Let r(a) = v*c(a) - 5*n(a). Factor r(y).
-2*(y - 1)**2*(y + 16)
Let l be (-740)/(-20) + 44 + -78. Find d such that -1/8*d**l - 45/8*d - 2*d**2 + 81/4 = 0.
-9, 2
Let w be ((-46)/184)/((0 - 2)/12). Let -19/4*h + 21/4*h**2 + w + 1/4*h**4 - 9/4*h**3 = 0. What is h?
1, 6
Suppose -c - 5 = -9. Factor -6*m**c + 3*m**5 + 6*m**2 + 143 - 3*m**3 - 143.
3*m**2*(m - 2)*(m - 1)*(m + 1)
Let m(k) be the first derivative of 2*k**6/27 + 16*k**5/15 - 16*k**4/3 - 2240*k**3/27 + 800*k**2/3 + 12218. Solve m(r) = 0 for r.
-10, 0, 2, 6
Let l(h) = -h**2 - 532*h + 2. Let p(u) = 4*u**2 + 2130*u - 9. Let o(f) = 9*l(f) + 2*p(f). Factor o(r).
-r*(r + 528)
Let p(f) be the second derivative of -f**5/10 - 28*f**4/3 + 80*f**3 - 10428*f. Suppose p(l) = 0. What is l?
-60, 0, 4
Factor -13746*w**2 + 99 + 13744*w**2 - 361 + 264*w.
-2*(w - 131)*(w - 1)
Let i(n) be the first derivative of -n**4/4 - 25*n**3/3 + 27*n**2 + 6033. Factor i(h).
-h*(h - 2)*(h + 27)
Suppose -782*f = -780*f - x + 14, 2*f + 28 = 2*x. Factor -2/5*v + 2/15*v**2 + f.
2*v*(v - 3)/15
Let u(y) = -41*y**2 - 12*y - 11. Let c be u(-4). Let t = 6819/11 + c. Factor t*s + 12/11*s**2 + 0 + 2/11*s**3.
2*s*(s + 1)*(s + 5)/11
Let y(b) be the third derivative of b**9/15120 - b**8/840 + b**7/140 - b**6/45 - 16*b**5/15 - 33*b**2. Let a(d) be the third derivative of y(d). Factor a(o).
4*(o - 4)*(o - 1)**2
Let q(g) be the second derivative of 25*g**7/56 + 93*g**6/4 + 12321*g**5/40 - 1147*g**4/2 - 19095*g**3/8 - 9747*g**2/4 + 20*g + 4. Determine m so that q(m) = 0.
-19, -3/5, 2
Suppose 3*u - k - 248 = 0, -3 = k - 4. Let r = u - 80. Let 50*x**3 + 5*x + 5*x**4 - 3 - 35*x**r + 15*x**2 + 3 = 0. What is x?
-1, 0
Let m(f) = -f**3 - 3*f**2 + f. Let n be m(2). Let z be n/(-81) + 122/18. Factor -13*d**5 - 7 + z + 4*d**3 + 10*d**4 - d**5.
-2*d**3*(d - 1)*(7*d + 2)
Let -87*w**3 - 19*w**4 + 2*w + w**5 + 5*w**4 + 72*w**3 - 2*w = 0. What is w?
-1, 0, 15
Solve 14*u**2 - 1/2*u**5 + 0*u - 7/2*u**4 + 0 + 2*u**3 = 0 for u.
-7, -2, 0, 2
Let z(o) be the first derivative of o**6/1080 + o**5/108 - o**4/36 + 19*o**2 - 34. Let h(v) be the second derivative of z(v). Find a such that h(a) = 0.
-6, 0, 1
Let r = 17 - 19. Let x be (r - -260) + 10 + -12. Solve 9*j**2 + 3*j**2 - 6*j**2 + 100*j**4 + 90*j**2 - x*j + 64 + 320*j**3 = 0 for j.
-2, 2/5
Let f(i) be the second derivative of 2023*i**4/4 - 255*i**3 + 675*i**2/14 - i - 581. Let f(s) = 0. What is s?
15/119
Let i be ((-1551)/1269)/((-506)/552). Suppose i*m**2 - 2/3*m**4 - 2/3 + 0*m**3 + 0*m = 0. What is m?
-1, 1
Factor 1263*j + 503*j**2 + 8411 - 579*j**2 + 14821 + j**3 - 383*j.
(j - 44)**2*(j + 12)
Let x(s) be the first derivative of s**5/60 - 7*s**4/36 + 5*s**3/6 - 3*s**2/2 + 137*s + 37. Let c(j) be the first derivative of x(j). Factor c(m).
(m - 3)**2*(m - 1)/3
Let w = 943 - 1885/2. Suppose 0 = 5*i + 4*n - 23, -2*i + n + 2 = -2. Factor -5/8*u**2 - w + 1/8*u**i + u.
(u - 2)**2*(u - 1)/8
Let i be ((-43)/((-8514)/180))/((-36)/33)*-45. Factor 0 - i*n**2 + 0*n + 27/2*n**4 + 45/2*n**3 + 3/2*n**5.
3*n**2*(n - 1)*(n + 5)**2/2
Let t(h) = 704*h**3 - 2*h + 16*h**4 + 2*h**5 - 726*h**3 - 4*h**5 + 6*h. Let w(i) = -4*i**5 + 33*i**4 - 43*i**3 + 10*i. Let b(z) = 5*t(z) - 2*w(z). Factor b(g).
-2*g**3*(g - 4)*(g - 3)
Suppose -41*y + 44 = -38*y - 4*w, 3*y - 30*w = 252. Factor 16/9*h**2 - 7/9*h**y + 0*h + 1/9*h**5 + 0 + 8/9*h**3.
h**2*(h - 4)**2*(h + 1)/9
Let j(x) be the second derivative of -x**4/102 - 191*x**3/51 - 190*x**2/17 + 4*x + 165. Find z such that j(z) = 0.
-190, -1
Let q(t) = -t**3 + 26*t**2 - 2*t + 76. Let c be q(26). Let a(l) = l**2 - 16*l - 190. Let z be a(c). What is g in 1/3*g**z + 0*g**3 + 0*g - 1/3*g**4 + 0 = 0?
-1, 0, 1
Let c(g) = 26*g**3 + 2*g**2 - 1054*g + 9138. Let h(a) = -22*a**3 - 2*a**2 + 1056*a - 9136. Let w(k) = -5*c(k) - 6*h(k). Solve w(p) = 0 for p.
-27, 13
Let j(o) = -o**2 + 8*o - 8. Let t be j(6). Suppose -2*v - 8 = -k - t*v, 4*k - 14 = -2*v. Suppose 4*c + 13*c**3 + c + 3*c**k - 8*c**3 - 13*c**2 = 0. Calculate c.
0, 1
Let y(w) be the first derivative of -3*w**4/4 - 186*w**3 - 3267*w**2/2 - 4860*w + 7463. Let y(l) = 0. Calculate l.
-180, -3
Let w be (9/12)/((-5)/40)*30/(-225). What is m in -22/5*m**2 + w*m**3 + 16/5 + 4*m = 0?
-1/2, 2, 4
Let z(v) be the third derivative of 107*v**2 - 1/240*v**6 + 0 + 0*v**3 + 0*v - 1/24*v**4 + 1/40*v**5. Suppose z(n) = 0. What is n?
0, 1, 2
Let v = -63894/7 - -5048690/553. Let c = v + 13776/395. Let 0 + c*t**2 - 96/5*t**4 - 36/5*t**5 + 236/5*t**3 + 32/5*t = 0. Calculate t.
-4, -1/3, 0, 2
Let u be 4 + (0 - (0 + 2/8)). Suppose 5747*g - 54 = 5729*g. Factor 3/4*p**5 + 0*p + u*p**g + 0 - 3/2*p**2 - 3*p**4.
3*p**2*(p - 2)*(p - 1)**2/4
Let x(r) be the third derivative of -r**5/4 - 216*r**4 - 373248*r**3/5 + 32*r**2 - 5*r. Factor x(d).
-3*(5*d + 864)**2/5
Let t(g) be the first derivative of 1/36*g**4 - 4/9*g + 4/9*g**2 - 68 - 5/27*g**3. Factor t(i).
(i - 2)**2*(i - 1)/9
Let s = -1 - -4. Let v(n) = -3*n**3 - 6*n**2 - 44*n - 82. Let a be v(-2). What is w in -5*w**5 + 20*w**4 + a*w**5 - 2*w - 23*w**4 + w**s + 3*w**2 = 0?
-1, 0, 1, 2
Let q(s) = 4*s + 47. Let d be q(-11). Let i(x) be the first derivative of 159 + x - 124 + d*x + 5*x**2 + 2*x**3. Determine r so that i(r) = 0.
-1, -2/3
Let c be 2/10 - 4386/(-1020). Let 3/2*d + 1/2*d**3 + 5/2*d**2 - c = 0. Calculate d.
-3, 1
Let q(m) = 60*m**2 - 7923*m + 399. Let t be q(132