+ 18*v**2 + 2*v + 5 + 22*v**2 = 0. What is v?
-5, 1
Let h(i) = -3*i**3 + 44*i**2 + 1634*i - 2. Let t(o) = 21*o**3 - 303*o**2 - 11439*o + 15. Let r(g) = 15*h(g) + 2*t(g). Factor r(n).
-3*n*(n - 34)*(n + 16)
Let t be (40/(-75))/4*(202 + -214). Suppose 24/5 - 2/5*x**2 - t*x = 0. Calculate x.
-6, 2
Let a be (106520/96)/(7 + (-102)/16). Let n = 1781 - a. Suppose -n*q + 5/3*q**2 + 2 = 0. Calculate q.
2/5, 3
Let d be 1 - (-27)/(-24) - 2475/(-88). Let x be d/12 + 20/(-12). Factor -18*b - x*b**3 + 18 + 6*b**2.
-2*(b - 3)**3/3
Suppose -2/5*r**5 + 0 + 72/5*r**3 - 6/5*r**4 - 64/5*r**2 + 0*r = 0. What is r?
-8, 0, 1, 4
Determine n, given that 1742*n**2 - 3557*n**2 + 252 + 1818*n**2 - 60*n = 0.
6, 14
Suppose 1911 + 1609 = 362*m + 342*m. Solve 168/5*f**4 + 0 - 6/5*f**m + 552/5*f**2 + 186/5*f + 108*f**3 = 0 for f.
-1, 0, 31
Let f(s) be the first derivative of -2*s**5/5 + 13*s**4/2 + 38*s**3 - 149*s**2 + 160*s - 260. Factor f(r).
-2*(r - 16)*(r - 1)**2*(r + 5)
Let z be ((-8)/(-12))/((3/30)/(28/175)). Factor -2/15*w**4 + 0*w + 0 - z*w**2 - 4/5*w**3.
-2*w**2*(w + 2)*(w + 4)/15
Let v be 1/1*(-3 + 14). Determine c so that -v*c + 6*c + c + c + c**2 = 0.
0, 3
Let b be 91/26*(-102)/(-119). Let f(p) be the third derivative of -1/270*p**5 + 5/54*p**4 + 0*p - 25/27*p**b + 0 + 5*p**2. Let f(x) = 0. Calculate x.
5
Suppose 5 = -23*b + 97. Let g be b/8 + (0/(-4))/3. Factor -g*m**2 + m - 1/2.
-(m - 1)**2/2
Factor 128/3*p - 257/6 + 1/6*p**2.
(p - 1)*(p + 257)/6
Let h = -20232 + 20272. Let b(p) be the third derivative of 0 + 1/105*p**7 + h*p**2 + 0*p**3 + 0*p**4 + 0*p - 1/15*p**6 + 1/10*p**5. What is l in b(l) = 0?
0, 1, 3
Factor -58/19*v - 60/19*v**2 - 2/19*v**3 + 0.
-2*v*(v + 1)*(v + 29)/19
Let g = -321944 - -1287779/4. Solve -27*p**3 - 33/4*p**4 - g*p**5 + 48*p + 0 - 12*p**2 = 0.
-4, 0, 1
Suppose -3/7*m**3 - 999/7*m + 498/7 + 72*m**2 = 0. What is m?
1, 166
Let v(m) be the second derivative of -3*m**5/20 - 1761*m**4/4 - 774399*m**3/2 + 2328483*m**2/2 + 4298*m. Solve v(u) = 0 for u.
-881, 1
Let i(x) = -x**3 + 8*x**2 - 3*x - 26. Let g be i(7). Suppose 2*h - 10 = 2. Let -g*r + 3*r**2 - h*r**3 - 17*r**4 + 8*r + 9*r**4 + 5*r**4 = 0. Calculate r.
-2, -1, 0, 1
Let i = -7199 + 7202. Let w(d) be the second derivative of -1/30*d**6 + 0 + 3*d - 2/3*d**i + 0*d**2 + 1/20*d**5 + 1/3*d**4. Factor w(h).
-h*(h - 2)*(h - 1)*(h + 2)
Let x(q) be the second derivative of q**7/70 - 3*q**6/25 - 201*q**5/100 - 21*q**4/5 + 126*q**3/5 + 648*q**2/5 + 2*q + 520. Suppose x(h) = 0. What is h?
-3, -2, 2, 12
Let l(t) be the third derivative of -t**5/60 - 13*t**4/8 + 20*t**3/3 + 26*t**2 + 56*t. Solve l(s) = 0.
-40, 1
Let i(o) be the first derivative of -5/6*o**6 - 6*o**5 + 0*o**2 + 0*o**3 + 0*o + 35/4*o**4 - 22. Suppose i(c) = 0. What is c?
-7, 0, 1
Let b be (-15)/(-24)*-58*40/(-5800). What is s in b + 0*s**3 + 1/4*s**4 + 0*s - 1/2*s**2 = 0?
-1, 1
Let v = 6 + -1. Let z(h) be the first derivative of -3/4*h**4 - h + 5/3*h**3 + 3/2*h**2 + 6 - 4/5*h**v. Factor z(i).
-(i - 1)*(i + 1)**2*(4*i - 1)
Suppose -13032*k = -13028*k - 12. Let u(x) be the second derivative of 0 + 0*x**k - 18*x + 1/3*x**4 + 1/5*x**5 + 0*x**2. Factor u(s).
4*s**2*(s + 1)
Let c = -13/17 + 15/17. Let b = 10888/731 + -600/43. Solve -10/17*t**2 - 8/17 + b*t + c*t**3 = 0 for t.
1, 2
Let z(s) = -46*s - 5379. Let l be z(-117). Let i = -5 + 7. Determine m, given that 3*m + l*m + m**2 + m**2 + i*m = 0.
-4, 0
Let k be ((-874)/133)/((-2)/14). Factor -4*p**2 - 21316 - 510*p + k*p - 120*p.
-4*(p + 73)**2
Let p(n) be the first derivative of 14*n**3/45 - 2*n**2 + 16*n/15 - 3388. Let p(g) = 0. Calculate g.
2/7, 4
Suppose 2*i = 12*f - 15*f - 2113, 2*i = 4*f - 2078. Let t = i - -4199/4. Factor t*v**2 + 9/2*v + 0.
3*v*(v + 6)/4
Suppose 12*u = 12162 - 606. Let c = u + -961. Let 0 + 3/4*j**c + 3/4*j**3 + 1/4*j**4 + 1/4*j = 0. What is j?
-1, 0
Let d(o) be the first derivative of -5*o**9/3024 + o**7/56 - o**6/36 - 4*o**3/3 - o**2/2 - 40. Let k(g) be the third derivative of d(g). Factor k(s).
-5*s**2*(s - 1)**2*(s + 2)
Let i(y) = 5*y**4 + 42*y**3 - 4*y**2 + 454*y - 449. Let o(a) = 2*a**4 + 17*a**3 - 2*a**2 + 151*a - 150. Let v(n) = -3*i(n) + 8*o(n). Find c such that v(c) = 0.
-7, 1, 3
Let o = 12727/28 + -457. Let s = 26/7 + o. Factor -25/2 - 145/4*u - 13*u**2 - s*u**3.
-(u + 5)**2*(5*u + 2)/4
Let u(m) be the third derivative of -16/3*m**3 + 0*m - 13/3*m**4 + 0 + 7/15*m**5 - 60*m**2. Suppose u(n) = 0. Calculate n.
-2/7, 4
Let g(f) be the first derivative of 3*f**5/5 + 24*f**4 + 183*f**3 - 324*f**2 + 152. Let g(b) = 0. Calculate b.
-24, -9, 0, 1
Let w = -170/9 + 1021/54. Let z(d) be the third derivative of 0*d**3 + 0*d + 1/270*d**5 - 3*d**2 + w*d**4 + 0. Find s such that z(s) = 0.
-2, 0
Determine c so that -15/4*c**3 + 3*c + 3/4*c**5 - 1/4*c**4 - 1 + 5/4*c**2 = 0.
-2, -1, 1/3, 1, 2
Factor -37 + 514*f - 5*f**2 + 668 + 276*f + 164.
-5*(f - 159)*(f + 1)
Let o(q) be the second derivative of 0*q**2 + 1/20*q**5 + 5/2*q**4 + 75/2*q**3 + 0 + 53*q. Factor o(d).
d*(d + 15)**2
Let k(f) be the second derivative of 133*f + 1/120*f**6 + 29/80*f**5 - 2 + 64*f**2 + 27/8*f**4 - 88/3*f**3. Determine u, given that k(u) = 0.
-16, 1, 2
Solve -66*u + 8*u**2 + 1089/8 = 0 for u.
33/8
Let k(r) = -r**3 + 32*r**2 + 179*r + 140. Let g(n) = -3*n**3 + 60*n**2 + 358*n + 280. Let a(i) = -4*g(i) + 10*k(i). Factor a(c).
2*(c + 1)*(c + 4)*(c + 35)
Let f(t) be the third derivative of -t**5/80 + 361*t**4/32 - 45*t**3 - 5324*t**2. Let f(j) = 0. Calculate j.
1, 360
Suppose -3*x + 2868 = 3*y - 6*x, 5*y + 4*x = 4789. Let p = y + -14351/15. Factor 0 - p*g**2 - 2/15*g**3 + 2/15*g**4 + 0*g.
2*g**2*(g - 2)*(g + 1)/15
Let p(l) = -195*l + 114. Let m be p(-5). Suppose m*h - 1068*h = 42. Suppose 1/3*n**3 - 2*n**h + 3*n - 4/3 = 0. What is n?
1, 4
Let w(d) be the third derivative of d**5/60 - 19*d**4/6 - 430*d**3/3 + 7*d**2 - 65. Solve w(m) = 0 for m.
-10, 86
Let n be (88/(-12))/(34/(-969)). Let d = -1253/6 + n. Factor d*s**5 + 0*s - 2/3*s**4 + 0 + 5/6*s**3 - 1/3*s**2.
s**2*(s - 2)*(s - 1)**2/6
Let p(w) = w**2 + w + 2. Let s(o) = -27*o**2 - 444*o - 465. Let h(r) = 24*p(r) + s(r). Factor h(f).
-3*(f + 1)*(f + 139)
Suppose -52920*m**3 - 15558480*m + 1393*m**4 - 1604*m**4 - 629*m**4 - 1481760*m**2 - 8*m**5 + 3*m**5 = 0. What is m?
-42, 0
Let y(g) = 2*g - 3. Let c be y(3). Let q be 4/3*(-330)/(-88). Suppose q*x + 3*x**4 - 4*x**3 + 7*x**4 - 18*x**3 + 7*x**c = 0. Calculate x.
-1/2, 0, 1
Factor -947*v**2 + 3*v**5 - 745*v**3 + 473*v - 2*v**2 - v**2 + 2*v**5 + 107*v - 130*v**4 + 1240.
5*(v - 31)*(v - 1)*(v + 2)**3
Let r(i) = 372*i + 4836. Let y be r(-13). Let l(j) be the third derivative of y*j - 3/4*j**4 + 0 + 24*j**2 + 0*j**3 + 1/20*j**5. Find q such that l(q) = 0.
0, 6
Factor 135*h - 5*h**2 + 29437 + 29568 - 58865.
-5*(h - 28)*(h + 1)
Let k(o) be the second derivative of -3*o**7/70 + o**6/10 + o**5/20 - o**4/4 + 35*o**2 - 9*o + 2. Let p(s) be the first derivative of k(s). Factor p(v).
-3*v*(v - 1)**2*(3*v + 2)
Let y be -33 - (8 + -30 + -14). Solve 0*k + 49/4*k**2 + 1/4*k**4 + 0 - 7/2*k**y = 0 for k.
0, 7
Let v = 6934 + -6931. Let s(f) be the third derivative of 0*f + 1/36*f**6 + 1/4*f**4 + 0 + 26*f**2 + 2/9*f**v + 2/15*f**5. Let s(o) = 0. Calculate o.
-1, -2/5
Let h(c) = 17*c**4 + 10*c**3 - 13*c**2 + 12. Let s(p) = -20*p**4 - 11*p**3 + 15*p**2 - p - 14. Let q(x) = 7*h(x) + 6*s(x). Factor q(g).
-g*(g - 3)*(g - 2)*(g + 1)
Suppose 3 = z + 4. Let f be z + 25/6 + (-5)/30. Find q such that -6*q**f - 6*q**2 + 3*q**5 + 0*q**2 + 5 - 2 + 3*q + 3*q**4 = 0.
-1, 1
Let -96/7 - 2/7*b**2 - 32/7*b = 0. What is b?
-12, -4
Suppose -4*f - 32 + 40 = 0. Suppose -10*u**2 + 4*u + 8*u**f - 2*u**2 = 0. What is u?
0, 1
Let b(q) be the second derivative of -q**7/42 - q**6/6 + q**5/20 + 5*q**4/12 - 253*q. Factor b(p).
-p**2*(p - 1)*(p + 1)*(p + 5)
Suppose -11*j - 40 = -21*j. Factor 115*g**2 + 24*g**4 + 42*g + 155*g**3 - 12*g - 45*g**3 + g**j.
5*g*(g + 1)*(g + 3)*(5*g + 2)
Solve 18*j**5 - 24757*j + 353*j**2 - 271*j**3 + 42*j**4 + 331*j**2 + 24455*j + 42 - 213*j**3 = 0 for j.
-7, 1/3, 1, 3
Let l be 559/156 - (-20)/(-8). Let h(c) be the third derivative of -l*c**4 + 0 - 32*c**2 - 1/6*c**5 + 0*c - 7/3*c**3 + 1/60*c**6. Suppose h(i) = 0. Calculate i.
-1, 7
Suppose -449*t - 9 + 14 = 5. Factor t*p + 0 - 2/7*p**3 + 20/7*p**2.
-2*p**2*(p - 10)/7
Let p(n)