tor -8/9 + 2/3*z**2 + 0*z + b*z**3.
2*(z - 1)*(z + 2)**2/9
Suppose 25*b - 1748 + 13323 = 0. Let m = b + 466. Factor 0*d - 2/7*d**m + 6/7*d**2 + 0.
-2*d**2*(d - 3)/7
Let l = 4561897/178898 + 1/89449. Determine d so that 30 - 54*d - 3/2*d**4 + l*d**2 + 0*d**3 = 0.
-5, 1, 2
Let p(u) = 6*u**2 + 12*u + 9. Let t = 1 - 3. Let a(v) = 7*v**2 + 12*v + 9. Let c = -357 - -360. Let d(x) = c*p(x) + t*a(x). Suppose d(g) = 0. What is g?
-3/2
Let i(z) = z**3 + 34*z**2 - 72. Let x be i(-34). Let g be 2/5*(-540)/x. Let 8/7*b + 4/7 + b**g - 19/7*b**2 = 0. Calculate b.
-2/7, 1, 2
Solve 7491/8*m**2 - 7203/4 - 6615/8*m + 3/8*m**4 - 297/8*m**3 = 0 for m.
-1, 2, 49
Let q(z) = -29*z - 173. Let a be q(-17). Factor -8 - a*y**3 - 336*y**2 + 180*y**4 - 92*y - 55*y**4 + 131*y**4.
4*(y - 2)*(4*y + 1)**3
Let y = 39745/8 + -4968. Let b(l) be the first derivative of 3/4*l**2 + 0*l + 21 + 1/3*l**3 - y*l**4. Factor b(f).
-f*(f - 3)*(f + 1)/2
Let j(s) be the third derivative of 0*s + 10/3*s**3 - 1/42*s**7 - 1/12*s**6 + 1/4*s**5 + 33*s**2 + 0 + 5/3*s**4. Solve j(g) = 0 for g.
-2, -1, 2
Let t(b) = 11*b**2 - 11*b + 129. Let p(m) = 15*m**2 - 11*m + 130. Let k(g) = -3*p(g) + 4*t(g). Let k(u) = 0. Calculate u.
-18, 7
Let p = -690509/4 + 172628. Determine t, given that 1/2*t**3 + t**4 + 1/4*t**5 - t**2 - p*t + 0 = 0.
-3, -1, 0, 1
Let b(u) be the second derivative of u**7/3780 - u**6/216 + u**5/45 - 5*u**4/12 - 10*u. Let j(a) be the third derivative of b(a). Solve j(y) = 0 for y.
1, 4
Let o(j) = -37*j**3 + 120*j**2 + 454*j + 330. Suppose d = -10*d - 121. Let t(l) = -13*l**3 + 40*l**2 + 151*l + 110. Let y(h) = d*t(h) + 4*o(h). Factor y(b).
-5*(b - 11)*(b + 1)*(b + 2)
Let z be -3*(14/18)/(16/(-96)). Suppose -q**2 + 54*q - 22*q - z*q - 3 + q**3 - 23*q = 0. What is q?
-1, 3
Suppose -2*b = 11*k - 120, 3*b - 45 = 2*b - 4*k. Factor b - 1/3*n**2 - 14/3*n.
-(n - 1)*(n + 15)/3
Suppose 2*x - 2*z + 672 = 0, 8*z = 9*z + 3. Let i = x - -1019/3. Factor 0*y + 0 - i*y**2 + 1/3*y**3.
y**2*(y - 2)/3
Solve -1/4*x**3 + 11/2*x**2 + 12*x + 0 = 0 for x.
-2, 0, 24
Let q(v) = -v**2 + 3*v - 16. Let d(u) = 20*u**2 + 368*u + 1944. Let c(h) = d(h) + 18*q(h). What is y in c(y) = 0?
-207, -4
Let b(w) be the second derivative of 0 - 59*w - 1/5*w**6 + 0*w**2 + 1/2*w**4 + 0*w**3 - 9/20*w**5. Determine k, given that b(k) = 0.
-2, 0, 1/2
Suppose -5*h = -2*q + 48, -4826*h = -4822*h + 32. Let f(b) be the second derivative of -1/20*b**5 + 3*b + 0 + 1/2*b**q + 0*b**2 - 5/6*b**3. Factor f(n).
-n*(n - 5)*(n - 1)
Suppose 2*o = -2*m + 4, 0*m - 8 = -2*m + 2*o. Let q = 12143 - 12128. Suppose q*c**4 - 3*c**2 + c - 4*c**3 - 15*c**m + 6*c**3 = 0. Calculate c.
-1/3, 0, 1/5, 1
Let s(l) = 20*l**3 + 56*l**2 + 390*l - 5766. Let d(m) = -24*m**3 - 56*m**2 - 391*m + 5767. Let z(f) = -6*d(f) - 7*s(f). Factor z(y).
4*(y - 12)**2*(y + 10)
Let r(s) = 2*s**4 + 14*s**3 + s**2 + s - 6. Let o(x) = 7*x**4 + 42*x**3 + 4*x**2 + 3*x - 17. Let y = -558 - -541. Let m(l) = y*r(l) + 6*o(l). Factor m(w).
w*(w + 1)*(2*w + 1)*(4*w + 1)
Let u(l) = -6*l**2 - 384*l + 1051. Let f(k) = -2*k**2 - 190*k + 526. Let x(c) = 5*f(c) - 2*u(c). Factor x(r).
2*(r - 88)*(r - 3)
Suppose -p = 3*p + 84. Let d = p + 24. Determine h, given that -8*h**d - 4*h**2 - 2170*h - 4*h**4 + 2170*h = 0.
-1, 0
Suppose -24 = 30*a - 36*a. Find v such that 0*v + 37*v**5 + 5*v**2 - 38*v**5 - 3*v**3 + 4*v - 5*v**a = 0.
-4, -1, 0, 1
Let j(c) be the first derivative of c**5/10 + 257*c**4/8 - 259*c**3/2 + 779*c**2/4 - 130*c + 1399. Factor j(a).
(a - 1)**3*(a + 260)/2
Let s be -2*(30 + -3)/((-312)/(-32) - 11). Factor 4/5*k**2 + s*k + 2916/5.
4*(k + 27)**2/5
Solve -8/5*w + 0 - 2/5*w**3 + 8/5*w**2 = 0.
0, 2
Let a(t) be the third derivative of 0*t**4 + 0 - 1/210*t**5 + 3/7*t**3 + 15*t**2 - t. Let a(g) = 0. What is g?
-3, 3
Let m be (27/33 - 1) + 2597/11319. Let u(y) be the second derivative of 0 - m*y**4 + 20*y + 0*y**2 + 1/21*y**3 + 1/70*y**5. Determine d so that u(d) = 0.
0, 1
Let l(s) = -8*s**2 - 12*s - 4. Let q(i) = i**2 - 1. Let t(a) = -8*a - 67. Let z be t(-8). Let d(f) = z*q(f) + l(f). Solve d(y) = 0.
-1, -1/11
Suppose 0 = -107*b + 98*b + 27. Suppose 44*u - 48*u - 4*s - 16 = 0, -4*s - 16 = b*u. Factor u + 2/11*j**5 + 0*j**3 - 4/11*j**4 + 0*j + 0*j**2.
2*j**4*(j - 2)/11
Let d(n) be the second derivative of 25/4*n**2 - 5/12*n**3 - 109*n + 1/8*n**5 - 25/24*n**4 + 0. Solve d(v) = 0 for v.
-1, 1, 5
Factor 1243643 - 5928163*f - 4278*f**4 + 1429083*f - 1485095*f**3 + 4488125*f**2 + 495*f**4 - 5*f**5 + 257877 - 1682*f**4.
-5*(f - 1)**3*(f + 548)**2
Let m(l) = l**3 + 6*l**2 + 2*l + 5. Let r be m(-5). Suppose r = 6*p - 4. What is x in 41 - 40*x**2 + 26 + 8*x**4 + 13 - 3*x**p = 0?
-2, 2
Let c = 6308 + -18923/3. Let p(q) be the second derivative of 0 - c*q**3 + 0*q**2 - 1/18*q**4 - 17*q. Factor p(s).
-2*s*(s + 3)/3
Factor -21/8 - 1/2*w**3 + 10*w + 17/8*w**2.
-(w - 7)*(w + 3)*(4*w - 1)/8
Suppose 29 = 18*g - 25. Determine b, given that -g*b - 3 + 231*b**2 + 228*b**2 - 456*b**2 + 3*b**3 = 0.
-1, 1
Let r(k) be the second derivative of 1/75*k**5 + 0 + 21/2*k**2 + 0*k**3 + 1/300*k**6 + 19*k + 1/60*k**4. Let n(d) be the first derivative of r(d). Factor n(m).
2*m*(m + 1)**2/5
Let -1654/3*x + 2/3*x**2 + 1100 = 0. Calculate x.
2, 825
Let b(k) be the second derivative of -k**7/252 + 17*k**6/144 - k**5/3 - 151*k**4/12 + 248*k. Let c(f) be the third derivative of b(f). Factor c(m).
-5*(m - 8)*(2*m - 1)
Let d(a) be the first derivative of -4*a**3/3 - 136*a**2 + 3840*a - 8469. Find u such that d(u) = 0.
-80, 12
Let h(x) be the third derivative of -x**6/30 + x**5/40 + 11*x**3/3 - 30*x**2. Let g(p) be the first derivative of h(p). Suppose g(v) = 0. What is v?
0, 1/4
Let t**4 + 1808*t**3 + 75*t**2 - 3756*t**3 + 1878*t**3 - 6*t**4 = 0. What is t?
-15, 0, 1
Let w be (-3)/(-7) + (-161784)/196. Let i = w + 827. Let -3/5*s**i + 1/5*s**3 + 0*s + 4/5 = 0. What is s?
-1, 2
Let s(w) = -w**3 - 9*w**2 - 6*w + 3. Let x be (-1 - 11/(-2))*(-4)/2. Let f be s(x). Solve 0*t**3 + 69*t - f*t + 12*t**4 - 8*t**2 - 4 - 4*t**5 - 8*t**3 = 0.
-1, 1
Let b(r) be the third derivative of r**8/3360 - r**7/720 + r**6/720 + 37*r**5/60 + 37*r**2. Let p(y) be the third derivative of b(y). Factor p(o).
(o - 1)*(6*o - 1)
Let v(k) be the third derivative of 23/150*k**5 + 0*k + 13/40*k**4 - 1/525*k**7 - 203*k**2 + 1/40*k**6 + 0 + 1/3*k**3. Let v(s) = 0. Calculate s.
-1, -1/2, 10
Let k be (-264)/924 + (-128)/(-56). Solve 2/13*y**k + 0 + 32/13*y = 0.
-16, 0
Solve -3*p**3 + 25504517 + 19*p + 17*p + 33*p**2 - 25504517 = 0.
-1, 0, 12
Let n(r) be the second derivative of r**4/60 + 362*r**3/3 + 327610*r**2 + 951*r - 4. Factor n(d).
(d + 1810)**2/5
Let c = 372 - 118. Let s = 256 - c. What is m in 0 + 0*m + 2/9*m**3 + 2/9*m**s = 0?
-1, 0
Suppose 194481/2*r**2 + 882*r + 2 = 0. Calculate r.
-2/441
Suppose -i + 32 = b + 3*i, -i = -5*b + 97. Suppose z = b - 9. Factor u + 2 + u**3 + 6*u - 8*u**3 + u**4 - z*u**2 + 8*u**4.
(u - 1)**2*(u + 1)*(9*u + 2)
Let t = 114389 - 114387. Find m, given that 0 + 4/13*m + 2/13*m**t = 0.
-2, 0
Let g(u) be the first derivative of -5/24*u**4 - 1/24*u**6 - 1/6*u**5 + 0*u**3 + 0*u + 25/2*u**2 - 15. Let y(m) be the second derivative of g(m). Factor y(z).
-5*z*(z + 1)**2
Let d = 2702599/3 - 900613. Factor 146*c**2 - d*c + 1/3*c**4 + 361/3 - 40/3*c**3.
(c - 19)**2*(c - 1)**2/3
Let t(n) = 2*n - 24. Let s be t(15). Suppose 5*r + r**2 - 7 - s + 13 = 0. What is r?
-5, 0
Let g(n) be the first derivative of -121 + 16/5*n**5 + 0*n**2 + 5*n**4 + 8/3*n**3 + 0*n + 2/3*n**6. Factor g(q).
4*q**2*(q + 1)**2*(q + 2)
Let h(k) be the third derivative of -9*k**8/56 - 4*k**7/35 + 242*k**6/45 - 48*k**5/5 - 44*k**4/3 - 64*k**3/9 + 1854*k**2. Let h(y) = 0. What is y?
-4, -2/9, 2
Let u(a) be the second derivative of a**5/100 + 67*a**4/30 + 53*a**3/6 + 66*a**2/5 - 971*a + 1. Factor u(h).
(h + 1)**2*(h + 132)/5
Let m(s) = 4*s**2 + 71*s - 69. Let d be m(1). Let t(z) be the second derivative of -5/3*z**3 + 4/15*z**d - 1/2*z**4 + 8*z + 1/2*z**5 - z**2 + 0. Factor t(l).
2*(l - 1)*(l + 1)**2*(4*l + 1)
Let t(d) = d**5 - d**3. Let o(b) be the first derivative of -22 - 5*b**4 + 14/3*b**3 - 2*b**2 + 2*b**5 + 0*b. Let l(r) = o(r) - 2*t(r). Solve l(f) = 0 for f.
0, 1, 2
Let n be (-2296)/(-336) - (-1)/6. Factor -27*f**3 + 142*f**4 + n*f**3 - 416*f**4 + 136*f**4 + 143*f**4.
5*f**3*(f - 4