 52*q**3 + 1411487*q - 4*q**5 + 0 + 0 + 56*q**2 - 1411583*q = 0.
-4, -2, 0, 1, 3
Suppose 0 = 4*z + x - 14, 55*x + 14 = -2*z + 58*x. Solve 0*i - 32/9 + 2/9*i**z = 0 for i.
-4, 4
Let 0 + 27*d + 9/2*d**2 + 3/2*d**5 - 9/2*d**4 - 57/2*d**3 = 0. Calculate d.
-3, -1, 0, 1, 6
Suppose -3*j = 0, 0 = 5*q + 15*j - 17*j - 40. Let r(d) be the first derivative of -q*d - 16/3*d**3 - 8 + d**4 + 10*d**2. Factor r(b).
4*(b - 2)*(b - 1)**2
Let y(j) be the second derivative of j**6/6 + 79*j**5 + 41605*j**4/4 - 790*j**3/3 - 62410*j**2 - 1349*j. Factor y(g).
5*(g - 1)*(g + 1)*(g + 158)**2
Let z(y) be the third derivative of y**3 - 23/60*y**5 + 0 + 0*y + 1/42*y**7 - 5/24*y**4 - 7/120*y**6 + 149*y**2. Let z(g) = 0. What is g?
-1, 2/5, 3
Let v(l) be the first derivative of 5/3*l**3 - 10 - 6*l**2 - 1/6*l**4 - 12*l. Let g(q) be the first derivative of v(q). Factor g(j).
-2*(j - 3)*(j - 2)
Let t = 3552134/273 - 39032/3. Let p = t - 5/13. Solve p + 1/7*r**2 - 4/7*r = 0.
1, 3
Let y(w) be the third derivative of 51*w**2 + 0 + 0*w + 16/3*w**3 - 1/60*w**5 - 7/12*w**4. Find v such that y(v) = 0.
-16, 2
Let d be 6 + -1 + 11/(-6) + 1 + (-5161)/2382. Let 2/7*q**3 - 24/7*q**d + 24/7 - 2/7*q = 0. Calculate q.
-1, 1, 12
Let t(x) = 2*x**3 - x - 1. Let u(g) = 7*g**3 - 15*g**2 - 3*g + 85. Let m(f) = 3*t(f) - u(f). Let r(s) be the first derivative of m(s). Factor r(j).
-3*j*(j - 10)
Suppose -252*k**3 + 1338/13*k**2 + 264/13 + 1576/13*k + 98/13*k**4 = 0. What is k?
-2/7, 1, 33
Let t(l) = -17*l**2 + 514*l + 498. Let f(a) = 12*a**2 - 506*a - 496. Let r(d) = 3*f(d) + 2*t(d). Factor r(n).
2*(n - 246)*(n + 1)
Let b(j) be the first derivative of j**7/1960 - j**6/70 - j**5/280 + 3*j**4/14 - 5*j**3/3 - 8*j + 46. Let p(u) be the third derivative of b(u). Factor p(z).
3*(z - 12)*(z - 1)*(z + 1)/7
Let q(m) be the third derivative of m**5/30 - 51*m**4/4 + 17*m**2 - 6*m - 11. Determine g so that q(g) = 0.
0, 153
Let t(q) be the first derivative of q**6/900 + q**5/150 - q**4/20 - 60*q**3 - 169. Let s(z) be the third derivative of t(z). Factor s(n).
2*(n - 1)*(n + 3)/5
Let f be ((-7)/6*435/(-203))/((-3)/(-6)). Factor 49/2*q - 5/2*q**2 + f.
-(q - 10)*(5*q + 1)/2
Let i(m) = -16*m**3 - 138*m**2 - 408*m - 8. Let t(l) = 14*l**3 + 137*l**2 + 408*l + 6. Let h(s) = -3*i(s) - 4*t(s). Solve h(q) = 0.
-51/4, -4, 0
Let r be 0 + (16/8)/((-3)/81). Let o be 12/r*(-33)/77. Solve 0 + 8/21*i**3 + 0*i + o*i**2 - 2/21*i**4 - 8/21*i**5 = 0 for i.
-1, -1/4, 0, 1
Let m(i) = i**2 - i + 3. Let t(z) = 6*z**2 - 172*z - 323. Let p(v) = 10*m(v) - 2*t(v). What is f in p(f) = 0?
-2, 169
Let u(n) = -121*n**2 + 900*n - 1605. Let a(c) = -121*c**2 + 904*c - 1606. Let z(r) = -5*a(r) + 6*u(r). Factor z(g).
-(11*g - 40)**2
Determine v so that -2/5*v**2 + 3392/5*v - 1438208/5 = 0.
848
Suppose 51 = 47*v - 90. Let a(h) be the second derivative of 0 + 5/27*h**v + 1/9*h**2 + 1/30*h**5 - 16*h + 7/54*h**4. Determine s so that a(s) = 0.
-1, -1/3
Factor -15158 + 42605*m + 718 - 197425*m**3 - 625*m**5 + 11336*m**4 + 11664*m**4 - 259390*m**2 - 61888*m - 87497*m.
-5*(m - 19)**2*(5*m + 2)**3
Solve 14112/17 + 2688/17*s + 2/17*s**4 - 32/17*s**3 - 208/17*s**2 = 0.
-6, 14
Let k(h) be the second derivative of 14 + 0*h**2 - 2*h**3 - 1/30*h**6 + 1/10*h**5 + 11/12*h**4 + 2*h. Determine b so that k(b) = 0.
-3, 0, 1, 4
Suppose -15*a = -1311 - 1334 + 2555. Factor 9/2*i**2 + 9/4 + 0*i**3 - a*i - 3/4*i**4.
-3*(i - 1)**3*(i + 3)/4
Let s(b) be the third derivative of -b**7/1155 - 3*b**6/110 - 28*b**5/165 + 2343*b**2 - b. What is d in s(d) = 0?
-14, -4, 0
Let v be (0 + 238)/(3*(-8)/42). Let m = v + 418. Factor -9/2*a + 0 + m*a**2.
3*a*(a - 3)/2
Solve 528*x**2 - 282*x**4 + 28*x**3 + 172 + 636*x**4 - 350*x**4 + 156*x**3 + 520*x = 0 for x.
-43, -1
Let h(d) be the third derivative of -d**6/30 + 26*d**5/15 + 29*d**4/6 - 36*d**3 - 2076*d**2. Factor h(t).
-4*(t - 27)*(t - 1)*(t + 2)
Let -42/23 - 8/23*o + 2/23*o**2 = 0. What is o?
-3, 7
Let j(r) be the third derivative of r**6/360 + r**5/12 - 2*r**4/9 + r**2 - 482*r. Solve j(m) = 0.
-16, 0, 1
Let p(a) be the first derivative of a**4/22 + 80*a**3/33 - 84*a**2/11 - 721. What is u in p(u) = 0?
-42, 0, 2
Let n(y) be the third derivative of -7/40*y**6 + 56*y**2 + 1/14*y**7 - 2/5*y**5 + 0*y + 1/2*y**4 + 0*y**3 + 0. Find p such that n(p) = 0.
-1, 0, 2/5, 2
Let r(k) be the third derivative of k**7/105 + 2*k**6/3 + 66*k**5/5 - 40*k**4/3 - 1600*k**3/3 + 1940*k**2. Let r(j) = 0. Calculate j.
-20, -2, 2
Let q(t) = -t**4 + 33*t**3 - 3*t**2 - 9*t - 2. Let r(s) = 3*s**4 - 78*s**3 + 7*s**2 + 18*s + 5. Let j(p) = 15*q(p) + 6*r(p). Factor j(k).
3*k*(k - 1)*(k + 1)*(k + 9)
Let r be -1 - 13/(-11) - (-3468)/44. Let v = r - 78. Factor 12*b**2 + v - 6*b - 14*b**2 + 7.
-2*(b - 1)*(b + 4)
Let z be (10 - 1568/126)*((-6)/(-33) - (-40)/(-55)). What is t in -4/3*t + 4/3*t**3 + 0 - 4/3*t**4 + z*t**2 = 0?
-1, 0, 1
Solve -308*u - 198*u - 32*u**2 - 370*u - 643 + 1166 + 2393 = 0.
-243/8, 3
Solve 81/2*y - 1215/4 - 3/4*y**2 = 0.
9, 45
Let t(x) be the first derivative of x**3 - 369*x**2/2 - 372*x + 3744. Determine h so that t(h) = 0.
-1, 124
Let i(r) be the first derivative of r**4/16 + 1135*r**3/12 + 322623*r**2/8 + 321489*r/4 + 5014. Factor i(v).
(v + 1)*(v + 567)**2/4
Let t(p) be the first derivative of p**4/14 - 174*p**3/7 + 17415*p**2/7 - 99846*p/7 + 317. Find o, given that t(o) = 0.
3, 129
Let s(b) be the third derivative of b**8/112 + 37*b**7/14 + 1081*b**6/5 + 2116*b**5/5 - 536*b**2 + 4*b. Let s(v) = 0. Calculate v.
-92, -1, 0
Let u be (2 - 15/12)/((-9)/(-108)). Suppose 0 = -2*n + u - 1. Determine i, given that 15*i**2 - 18*i**2 + n*i**3 + i**5 - i**4 - 9*i**3 = 0.
-1, 0, 3
Let o(u) be the second derivative of -u**5/20 - u**4/3 + 5*u**3/6 - 3*u + 58. What is p in o(p) = 0?
-5, 0, 1
Let x(w) be the second derivative of -w**4/36 + w**3/3 + 56*w**2/3 - w - 562. Factor x(y).
-(y - 14)*(y + 8)/3
Let f(p) = p**2 - p - 98. Let n be f(11). Let x be (-18 + n)*(-3)/9. Find c such that 1/2*c + 1/4*c**x + 1/4 = 0.
-1
Suppose 10*g - 5*g + 2*i = 78, -5*g + 81 = -i. Let n be 1 + g/(-45) - 51/255. Factor -n*y + 2/3 - 2/9*y**2.
-2*(y - 1)*(y + 3)/9
Let p(n) be the third derivative of -n**5/150 + 121*n**4/6 + 1211*n**3/15 + 58*n**2 + 17*n. Let p(x) = 0. What is x?
-1, 1211
Let n(w) be the first derivative of 25*w**2 + w**3 - 8*w**2 + 0*w**3 - 14*w**2 + 62 - 45*w. Factor n(h).
3*(h - 3)*(h + 5)
Let v(y) = -7*y**2 - 11*y + 9. Let n be 2/(-1) + (-2)/(-2) + 3. Let a(t) = 1 - 22*t**n - 34*t + 14 - 2 + 13. Let o(h) = 3*a(h) - 10*v(h). Factor o(u).
4*(u - 1)*(u + 3)
Let p(d) be the first derivative of -4*d**3/9 + 170*d**2/3 + 344*d/3 - 104. Factor p(v).
-4*(v - 86)*(v + 1)/3
Suppose 2*w = 4*d + 388, 462 = 2*w + 2*d + 98. Let z be 2/(-9)*w/(-124). Suppose -4*m - 12 - z*m**2 = 0. What is m?
-6
Suppose -2*v - 10 = -114*v + 214. Let j(t) be the second derivative of -1/10*t**6 + 0 + 0*t**v - 3/4*t**4 - 9/2*t**3 - 3*t + 3/4*t**5. Factor j(l).
-3*l*(l - 3)**2*(l + 1)
Let h(n) be the first derivative of -37*n**3 - 441*n**2 + 48*n - 1425. Factor h(o).
-3*(o + 8)*(37*o - 2)
Let v(h) be the second derivative of -64/15*h**6 + 1/2*h**4 - 4/7*h**7 + 89*h + 0 + 12*h**2 - 87/10*h**5 + 40/3*h**3. Determine n, given that v(n) = 0.
-3, -2, -1/2, 2/3
Let a be (-92 + 78)*9/(-2). Let x be (-6*(-4)/18)/(42/a). Let -64/3*b**x - 10/3*b**3 - 12 - 38*b = 0. What is b?
-3, -2/5
Let -320/9*p + 0 + 142*p**2 - 2/3*p**4 - 952/9*p**3 = 0. Calculate p.
-160, 0, 1/3, 1
Let t(d) be the third derivative of -5*d**7/42 - 97*d**6/8 - 999*d**5/2 - 20655*d**4/2 - 102060*d**3 + 70*d**2 - 33*d. Solve t(l) = 0 for l.
-18, -21/5
Let a = 56743 - 170225/3. Factor a*f**2 + 0 - 2/9*f.
2*f*(6*f - 1)/9
Let l(x) = x**4 - x**3 + x**2 + 2*x + 3. Let o(w) = 8*w**4 - 136*w**3 - 2582*w**2 - 16460*w + 19230. Let s(u) = -20*l(u) + 2*o(u). Let s(g) = 0. What is g?
-24, -20, 1
Let c(x) be the third derivative of x**8/336 + 11*x**7/70 + 287*x**6/120 + 17*x**5/4 + 6*x**2 + x + 158. Suppose c(n) = 0. What is n?
-17, -15, -1, 0
Let o(c) = -7*c + 22. Let t(m) = 15*m - 45. Let s(j) = 9*o(j) + 4*t(j). Let a be s(3). Factor -9*h**3 - 18*h**4 + 39*h**4 + 3*h**2 - 18*h**4 + a*h - 6.
3*(h - 2)*(h - 1)**2*(h + 1)
Let s(t) be the second derivative of 2*t**6/15 + 26*t**5/5 + 41*t**4/3 - 328*t**3/3 + 192*t**2 + 1282*t. Factor s(l).
4*(l - 1)**2*(l + 