**3 - 23*t**2 - 23*t - 28. Let c(w) = w**3 - 1. Let o(l) = 6*c(l) - f(l). Let z be o(-22). Factor 0 + 0*y + 3/2*y**3 + z*y**2 - 3/2*y**4.
-3*y**3*(y - 1)/2
Suppose 7*b = 8*b. What is w in 153*w**2 + 3*w**3 - 338*w**2 + b*w**3 + 24*w + 164*w**2 + 48 = 0?
-1, 4
Suppose 5*u = 2*u + u. Let n(g) be the second derivative of u*g**2 + 0*g**5 - 1/3*g**6 + 0 - 5/6*g**3 + 5/6*g**4 + 19*g + 5/42*g**7. Factor n(s).
5*s*(s - 1)**3*(s + 1)
Let r be (-54)/(-2) + (-465)/(-93) + -30. Let 5/3*c**r - 12 - 4*c + 1/3*c**3 = 0. What is c?
-6, -2, 3
Let f(z) be the second derivative of z**5/20 - 29*z**4/4 - 93*z**3 + 331*z + 1. Let f(o) = 0. What is o?
-6, 0, 93
Let y = -725 - -745. Suppose 19*z - 58 = -y. Suppose -2/3*m**z - 32/3 + 16/3*m = 0. What is m?
4
Let o(m) be the second derivative of m**4/12 + 659*m**3/3 + 434281*m**2/2 + m - 1816. What is h in o(h) = 0?
-659
Let o be (-2)/(-16)*18/1 + (-3708)/(-4944). Solve -g**2 + 13/2*g - 1/2*g**o - 5 = 0 for g.
-5, 1, 2
Let h(m) be the third derivative of -m**8/1680 - 2*m**7/75 - 7*m**6/15 - 104*m**5/25 - 102*m**4/5 - 288*m**3/5 - 111*m**2 - 14*m. Solve h(v) = 0.
-12, -6, -2
Let n(v) be the second derivative of -v**5/45 + 14*v**4/27 - 32*v**3/9 + 2*v + 5777. Find g, given that n(g) = 0.
0, 6, 8
Let k be (-12)/(-9)*18/5. Let p be (-864)/(-60)*(50/900 + (-24)/(-54)). What is x in 24/5*x**3 - p*x**4 + 4/5 - k*x + 32/5*x**2 = 0?
-1, 1/3, 1
Let k(h) be the third derivative of h**5/12 + 1465*h**4/6 + 858490*h**3/3 - 2*h**2 - 43*h + 21. Find b, given that k(b) = 0.
-586
Suppose 88/17*d**2 - 2/17*d**4 - 396/17*d + 76/17*d**3 + 234/17 = 0. Calculate d.
-3, 1, 39
Let h(a) be the first derivative of -a**6/1980 - a**5/132 - a**4/22 + 62*a**3/3 + 108. Let i(d) be the third derivative of h(d). What is r in i(r) = 0?
-3, -2
Let f(d) be the third derivative of -2*d - 3/32*d**4 + 1/20*d**5 - 1/160*d**6 - 3*d**2 + 0*d**3 + 0. Factor f(t).
-3*t*(t - 3)*(t - 1)/4
Let b be 1/(-19) + (-18304)/(-47424). Factor b*t + 0 - 1/3*t**2.
-t*(t - 1)/3
Let d(r) = -31*r**3 + 2069*r**2 - 4215*r + 2177. Let p(q) = 11*q**3 - 689*q**2 + 1405*q - 727. Let m(y) = 6*d(y) + 17*p(y). Factor m(z).
(z - 1)**2*(z + 703)
Let a(z) = 18*z**3 - 33*z**2 + 96*z - 57. Let s(m) = 13*m**3 - 35*m**2 + 96*m - 58. Let o(r) = 2*a(r) - 3*s(r). Factor o(u).
-3*(u - 10)*(u - 2)*(u - 1)
Let z be (-3)/3 - 3/(-1). Suppose j**2 - 12 - z*j - j - 4*j + 8*j = 0. What is j?
-4, 3
Let h be (-244)/(-915)*2/8. Let m(u) be the second derivative of -u**2 + 1/3*u**4 + 7*u - 1/42*u**7 - h*u**6 + 1/10*u**5 - 1/6*u**3 + 0. Factor m(k).
-(k - 1)**2*(k + 1)**2*(k + 2)
Let z be ((-224)/(-330) - (-1788)/(-3278)) + (-196)/(-105). Let z*o**2 + 1/2*o**3 + 3/2*o + 0 = 0. Calculate o.
-3, -1, 0
Let x(h) = -12*h**2 - 6273*h - 6450. Let l(r) = r**2 + 628*r + 645. Let f(n) = -21*l(n) - 2*x(n). Suppose f(u) = 0. What is u?
-1, 215
Let n(p) = -3*p**3 - 164*p**2 - 449*p + 608. Let u(r) = r**2 + r + 2. Let w(l) = -n(l) - 2*u(l). Find q, given that w(q) = 0.
-51, -4, 1
Let m = -17 - 193. Let r be (-1)/((-5)/(m/(-2))). Solve -6 - 28*o + 10*o + 43*o - r*o**2 = 0 for o.
1/3, 6/7
Let k = -602 + 604. Let y(l) be the third derivative of 0*l**3 + 1/180*l**6 - 1/180*l**5 + 0 - 13*l**k + 0*l**4 + 0*l - 1/630*l**7. Suppose y(o) = 0. What is o?
0, 1
Let s be (-7 - -9)*(100*15/(-120) + 14). What is m in -9*m - 164*m**4 + 72*m**5 + 0 - 15/2*m**2 + 217/2*m**s = 0?
-2/9, 0, 3/4, 1
Let h(w) be the first derivative of -2/15*w**6 - 32/15*w**3 + 8/25*w**5 - 9 + 14/5*w**2 - 8/5*w + 2/5*w**4. Determine l, given that h(l) = 0.
-2, 1
Suppose 0 = -5*j - 19 + 64. Suppose l - j*l = -64. Factor -9*f**3 - f**4 + l*f**2 + 11*f**4 - 6*f**2.
f**2*(2*f - 1)*(5*f - 2)
Let d be 20/(-630)*12/(-2). Let v(x) be the first derivative of 3/7*x**2 - 5 - 1/14*x**4 + d*x**3 + 0*x. Find z such that v(z) = 0.
-1, 0, 3
Let y be -9 + 12 + (-2 - -8). Factor -y*r + 0*r**3 + 2*r**3 + 6*r + r.
2*r*(r - 1)*(r + 1)
Suppose 2*j - 52 = 4*h, -2*h + 43 = 3*j - 3. Suppose g + j = 5*v, -2*g + v - 8 = -4*g. Let 12/5 - 2/5*o - 2/5*o**g = 0. Calculate o.
-3, 2
Suppose 20 - 446 = -6*j. Suppose -81 = -2*w - j. Suppose 9*g**4 - 9*g - 3 + 7*g**2 + 7*g**2 + 3*g**w - 20*g**2 + 6*g**3 = 0. What is g?
-1, 1
Let t(a) = -24*a**2 + 833*a - 770. Let y(o) = 114*o**2 - 4146*o + 3850. Let z(b) = 14*t(b) + 3*y(b). Solve z(i) = 0.
1, 385/3
Let c be 1 - ((-12)/(-16) - (-55)/(-1188)). Let b(h) be the first derivative of 1/3*h**4 - 12 + 0*h**2 + 0*h - 4/45*h**5 - c*h**3. Factor b(a).
-4*a**2*(a - 2)*(a - 1)/9
Let o = -22 - -89. Let a = 81 - o. Factor 2*u**4 + 6*u + 10*u**3 - a*u + 8*u.
2*u**3*(u + 5)
Let h(j) be the second derivative of 4*j**2 + 14*j + 0*j**3 - 1/30*j**5 + 0 - 1/12*j**4. Let u(v) be the first derivative of h(v). What is n in u(n) = 0?
-1, 0
Let m(o) = 46*o**4 - 745*o**3 + 5261*o**2 - 12651*o + 3200. Let v(a) = -9*a**4 + 149*a**3 - 1052*a**2 + 2530*a - 640. Let u(d) = 2*m(d) + 11*v(d). Factor u(p).
-(p - 8)**2*(p - 5)*(7*p - 2)
Let c(y) be the first derivative of -y**7/42 + y**5/6 - 5*y**3/6 + 8*y**2 + y + 21. Let w(x) be the second derivative of c(x). Factor w(n).
-5*(n - 1)**2*(n + 1)**2
Factor -416/3*c + 128 - 2/9*c**3 + 98/9*c**2.
-2*(c - 24)**2*(c - 1)/9
Let a(t) be the third derivative of 11/840*t**6 + 0*t**4 - 1/84*t**5 + 7*t**2 + 1/2352*t**8 - 1/210*t**7 - 3*t + 0 + 0*t**3. Solve a(w) = 0 for w.
0, 1, 5
Let c(x) be the second derivative of -x**6/6 + x**5 + 85*x**4/4 + 75*x**3 + 1629*x. Factor c(j).
-5*j*(j - 10)*(j + 3)**2
Let d(l) be the third derivative of 0*l**4 - 7 + 0*l**3 + 1/5*l**5 + 0*l - 1/120*l**6 + 14*l**2. Find m, given that d(m) = 0.
0, 12
Let z(b) be the second derivative of -2*b**7/21 - 334*b**6/15 - 326*b**5/5 + 662*b**4/3 + 218*b**3 - 990*b**2 - 10706*b. Let z(r) = 0. What is r?
-165, -3, -1, 1
Let b(j) be the third derivative of j**9/226800 + j**8/10080 - j**7/1400 + j**5/15 + 16*j**2. Let a(o) be the third derivative of b(o). Factor a(g).
2*g*(g + 9)*(2*g - 3)/15
Let g(h) be the first derivative of 0*h + 32*h**2 - 109 - 16/3*h**3 - 12*h**4 - 4/5*h**5 + 2/3*h**6. Suppose g(u) = 0. Calculate u.
-2, 0, 1, 4
Let k(w) be the first derivative of -7/4*w**2 + 1/2*w**5 - 37/24*w**4 + 41/18*w**3 - 255 - 1/18*w**6 + 2/3*w. Solve k(c) = 0 for c.
1/2, 1, 4
Let d(z) be the third derivative of -z**5/720 + 17*z**4/288 - 2*z**3/9 + 34*z**2 - 40*z. Solve d(r) = 0 for r.
1, 16
Let o = 62 + -2. Let k = 75 - o. Factor 26*g**3 - k*g**3 - 12*g - 12*g**2 - 14*g**3.
-3*g*(g + 2)**2
Let c be (15/(-35))/(3/(-14)). Suppose 14 = 2*w + 5*r, 3*r + 0*r - 10 = -c*w. Determine u, given that 2 - 1/3*u**w + 1/3*u = 0.
-2, 3
Let y(s) be the first derivative of 3/22*s**4 + 6/11*s**3 + 171 + 5/11*s**2 + 0*s - 2/55*s**5. Factor y(h).
-2*h*(h - 5)*(h + 1)**2/11
Let r(n) = -19*n**3 - 109*n**2 - 148*n + 3474. Let o(s) = -4*s**3 - 22*s**2 - 30*s + 693. Let y(p) = -14*o(p) + 3*r(p). Factor y(m).
-(m - 5)*(m + 12)**2
Let r be 10440/(-10150)*28/(-3). Factor -12/5*o**2 + r*o**3 + 0*o + 0 - 21/5*o**4.
-3*o**2*(o - 2)*(7*o - 2)/5
Let u = 2773649617/808169390 + 9/1990565. Let y = u - 1/290. Let 48/7*h**2 + 0 - 16/7*h - 4/7*h**5 - 52/7*h**3 + y*h**4 = 0. Calculate h.
0, 1, 2
Let v(s) be the third derivative of s**7/63 - 373*s**6/144 + 275*s**5/24 - 2735*s**4/144 + 455*s**3/36 + 2430*s**2. What is i in v(i) = 0?
1/4, 1, 91
Let m(p) be the first derivative of 7*p**2 - 1/9*p**3 - 209 - 41/3*p. Factor m(z).
-(z - 41)*(z - 1)/3
Let o(h) = h**3 - 23*h**2 - h + 43. Let p be o(23). What is a in 17*a**3 + 19*a**3 + 4*a**4 - 36*a**2 - 56*a**3 + p*a**3 = 0?
-3, 0, 3
Let t(d) be the first derivative of d**4/12 - 22*d**3/9 + 37*d**2/6 + 20*d + 5308. Factor t(r).
(r - 20)*(r - 3)*(r + 1)/3
Let u(p) be the first derivative of -p**3/15 + 25*p**2 - 741*p/5 + 1446. Factor u(t).
-(t - 247)*(t - 3)/5
Suppose -13*t - 8*t + 23*t = 8. Let d(r) be the first derivative of 8/5*r + 10 - 2/5*r**3 + 1/10*r**t + 0*r**2. Find w, given that d(w) = 0.
-1, 2
Suppose -12 = -4*s + 2*t + 4, 5*t = -2*s - 4. Suppose -2*j + 11 - s = 0. Suppose 4 + 12*a**3 + 45*a - 4*a**4 - 4 + j*a**2 - 57*a = 0. What is a?
-1, 0, 1, 3
Solve 1/9*p**5 + 205/9*p**3 - 836/9*p - 26/9*p**4 + 1936/9 - 380/9*p**2 = 0.
-2, 2, 4, 11
Let o be (12/9 - 2)/(9/(486/(-84))). Let m(y) be the first derivative of 0*y - o*y**2 - 14 - 3/7*y**3 - 3/28*y**4. Suppose m(b) = 0. 