**2 = 0.
-1, -1/4, 0, 1
Let g = -247/180 - -63/20. Solve g + 28/9*p + 2/3*p**2 = 0 for p.
-4, -2/3
Factor -19*j**2 - 37/2*j + 0 - 1/2*j**3.
-j*(j + 1)*(j + 37)/2
Suppose -152*x - 564 = -868. Factor 0 + 0*n - 1/4*n**3 - 7/4*n**x.
-n**2*(n + 7)/4
Suppose 19 = -5*b + 34. Solve 2*g**2 + 1/2*g**b + 5/2*g + 1 = 0 for g.
-2, -1
Let h(a) be the first derivative of -a**3/18 + 2*a**2/3 + 3*a/2 - 26. Suppose h(q) = 0. What is q?
-1, 9
Suppose 2*f + x - 29 = 0, -4*f - 23 = -2*x - 61. Suppose 0*i - f = -4*i. Factor -3*j - 1 + 3*j**3 - 3*j**2 + 0*j**3 - 4*j**i.
-(j + 1)**3
Solve -2/3*q**4 + 8/9*q + 0 - 10/9*q**3 + 8/9*q**2 = 0.
-2, -2/3, 0, 1
Let d(a) be the second derivative of a**7/1050 + a**6/150 + a**5/75 - 6*a**2 - 12*a. Let j(o) be the first derivative of d(o). Solve j(v) = 0.
-2, 0
Let k(v) be the third derivative of v**7/210 - v**6/120 + v**3/6 - 4*v**2. Let s(x) = 2 + 0*x**3 - 1 - 2*x**3. Let o(f) = -k(f) + s(f). Solve o(u) = 0 for u.
-1, 0
Suppose -b + 12 = 3*k, 7*b - 9 = 5*b - k. Let c be (-4)/b*(-30)/10. Factor 9/4*o**4 + 21/4*o**3 + 0 + c*o**2 + o.
o*(o + 1)*(3*o + 2)**2/4
Suppose -11*h + 4 = -6*h + 2*q, 2*h + q - 1 = 0. Factor -6 + 20 + 33*b**h - 96*b + 31*b**2 + 22.
4*(4*b - 3)**2
Let q(c) = 9*c**2 - 17*c + 5. Let i(l) be the third derivative of -l**5/12 + 3*l**4/8 - l**3/2 - 20*l**2. Let h(z) = -5*i(z) - 3*q(z). Let h(d) = 0. What is d?
0, 3
Let x(t) = 12*t**2 - 4*t - 3. Let q be x(-1). Let c = -10 + q. Determine k so that 4/5*k**2 + 2/5 + 7/5*k - 4/5*k**c = 0.
-1/2, 2
Let i be (6 - 7)*((-3)/1 + 1). Find j such that -j + 4 + 4*j - 3*j**i + j**3 - 5 = 0.
1
Let b(z) = 3*z + 24. Let c be b(-8). Let i(h) be the second derivative of 0*h**5 + c + 0*h**2 - 1/120*h**6 - 2*h + 0*h**3 + 0*h**4. Factor i(x).
-x**4/4
Let k(w) = -55*w**2 + w + 2. Let v be k(-1). Let s = v - -54. Factor s - 8/5*i + 4/5*i**2.
4*i*(i - 2)/5
Let n be (3 + -3)/((-1 - -1) + 1). Let d be 110/(-25) + (n - -5). Factor -3/5*w - d*w**2 + 0.
-3*w*(w + 1)/5
Let g(s) be the second derivative of s**6/60 + 3*s**5/40 - s**4/4 - 2*s**3/3 + 140*s. Let g(k) = 0. Calculate k.
-4, -1, 0, 2
Let 1/6*c**2 + 7/6*c + 2 = 0. Calculate c.
-4, -3
Suppose -3*f - 4*d + 55 = 0, 0 = 2*f - 4*f - 5*d + 46. Let 14*s - s**2 - 11*s**2 - 234*s**3 - 3*s + f*s + 105*s**5 - 93*s**4 = 0. What is s?
-1, -2/5, 0, 2/7, 2
Let b(k) = -k**2 + 4*k + 1. Let m be b(2). Suppose g - 36 = -m*g. Suppose -g + 5 + 45*v**4 + 1 + 35*v**5 + 10*v**3 = 0. Calculate v.
-1, -2/7, 0
Let a(y) be the second derivative of y**5/12 + 5*y**4/12 + 5*y**3/6 + 5*y**2/6 - 66*y. Factor a(r).
5*(r + 1)**3/3
Let t = -94 + 140. Suppose 0 = -2*p + 46 - t. Factor 4/11*w - 2/11*w**4 + 2/11 - 4/11*w**3 + p*w**2.
-2*(w - 1)*(w + 1)**3/11
Determine y so that -5 + 2*y**3 - 45*y + y**4 - 12*y**2 + 14*y + 28*y + 17*y = 0.
-5, 1
Let k(u) be the third derivative of -u**8/2856 - 3*u**7/595 - 13*u**6/1020 + 3*u**5/170 + 7*u**4/102 + u**2 - 47. What is g in k(g) = 0?
-7, -2, -1, 0, 1
Solve -16/3*h**4 + 0 + 2/3*h**5 + 0*h**2 + 32/3*h**3 + 0*h = 0 for h.
0, 4
Let k = 43 - -44. Factor 84*m**2 - 9*m**4 + 26*m**5 - k*m**2 + m**5 - 15*m**3.
3*m**2*(m - 1)*(3*m + 1)**2
Let h(a) be the first derivative of 54*a**6 - 36*a**5 - 113*a**4 + 164*a**3/3 + 64*a**2 + 16*a + 84. Solve h(z) = 0.
-1, -2/9, 1
Suppose -h + 4 = 3*w, 7*w + 1 = -2*h + 4*w. Let f(b) = b**2 + 12*b + 3. Let z(i) = i. Let x(t) = h*f(t) + 40*z(t). What is p in x(p) = 0?
-3, -1
Let a(u) be the third derivative of 2/15*u**5 + 0*u**3 + 0*u + 7*u**2 + 0 - 1/30*u**6 - 1/6*u**4. Find k such that a(k) = 0.
0, 1
Factor -193/3*g**2 - 1/3*g**4 + 104*g + 26/3*g**3 - 48.
-(g - 12)**2*(g - 1)**2/3
Let f be ((-234)/78)/(2/(-4)) - 6. Let r(a) be the third derivative of -1/180*a**5 - a**2 + 0*a**3 + 0*a + 1/36*a**4 + f. Factor r(n).
-n*(n - 2)/3
Let v(k) = -5*k - 5 + 2*k**3 + 0*k + 0*k**3 - k**4 + 4*k**2. Let q = 49 - 59. Let u(s) = s**2 - s - 1. Let a(p) = q*u(p) + 2*v(p). Factor a(w).
-2*w**2*(w - 1)**2
Let b be ((-2)/(-108)*-3)/((-1)/4). Let j = 395 - 3551/9. Let 2/9 + 2/9*v**4 - 4/9*v**3 + b*v**5 + 2/9*v - j*v**2 = 0. What is v?
-1, 1
Suppose 13*x - 13 = 78. Let a be (2 - (-48)/(-28))*x. Solve 2/3*w**3 + 2/3*w**a + 0*w + 0 = 0.
-1, 0
Let d = -813 + 815. Let 0 + 2/13*p**d + 2/13*p = 0. What is p?
-1, 0
Suppose 0 = 3*h + 6, k + 3*h + 2*h = 24. What is r in -2 - 6 + 0 + 36*r + 45*r**4 - 33*r**3 - k*r**2 + 0 = 0?
-1, 2/5, 2/3
Let g(a) be the first derivative of 0*a + 2/15*a**5 - 2/9*a**3 + 3 - 1/6*a**4 + 1/9*a**6 + 0*a**2. Factor g(c).
2*c**2*(c - 1)*(c + 1)**2/3
Let o(v) = 65*v**2 + 245*v + 420. Let b be (-9)/((-36)/(-8)) - -4. Let s(m) = -9*m**2 - 35*m - 60. Let p(l) = b*o(l) + 15*s(l). Factor p(u).
-5*(u + 3)*(u + 4)
Let s(b) = 8*b**3 - 135*b + 119*b**2 + 358*b + 1080 - 26*b**2 + 314*b. Let g(r) = -7*r**3 - 92*r**2 - 538*r - 1080. Let l(d) = 3*g(d) + 2*s(d). Factor l(c).
-5*(c + 6)**3
Let b(x) = 5*x**4 - x**3 - 7*x**2 + 6. Let l(h) = -29*h**4 + 5*h**3 + 41*h**2 - 34. Let g(k) = -34*b(k) - 6*l(k). Factor g(n).
4*n**2*(n - 1)*(n + 2)
Let q = -51 - -55. Suppose -2*d = q*d - 0*d. Find m, given that 2/13*m**2 + d + 2/13*m = 0.
-1, 0
Let i(m) = -m**3 - m**2 - m - 2. Let k be i(-2). Let d be (2 - -1) + k + -3. Factor 9*c**d - 99*c**3 + 138*c**2 - 10 - 14 - 36*c + 12*c**4.
3*(c - 2)**2*(c - 1)*(7*c + 2)
Let s be (-3 + 4)*-2*(-1)/(-22). Let v = s - -15/44. Suppose 0*b**3 - 1/4*b + v*b**5 + 0 - 1/2*b**2 + 1/2*b**4 = 0. What is b?
-1, 0, 1
Let x(g) be the second derivative of 1/12*g**4 + 0*g**2 + 0*g**3 + 1/40*g**5 + 19*g + 0. Factor x(i).
i**2*(i + 2)/2
Let q(u) be the second derivative of -u**5/60 + u**4/36 - u + 4. Solve q(n) = 0.
0, 1
Let b(t) be the first derivative of 2*t**7/315 + t**6/60 + t**5/80 + t**4/288 - 41*t**2/2 - 32. Let s(n) be the second derivative of b(n). Factor s(d).
d*(d + 1)*(4*d + 1)**2/12
Suppose -3/5*h**4 - 4437*h**2 + 0 - 519/5*h**3 + 22707/5*h = 0. What is h?
-87, 0, 1
Let t(j) be the first derivative of j**3/24 - 7*j**2/16 - j - 461. Find m such that t(m) = 0.
-1, 8
Factor 0 + j**3 + 1/2*j**4 - 3/2*j**2 + 0*j.
j**2*(j - 1)*(j + 3)/2
Let z(a) be the third derivative of -a**4 + 8/15*a**5 + 40*a**2 - 6*a**3 + 0 + 2/105*a**7 + 1/5*a**6 + 0*a. Determine b, given that z(b) = 0.
-3, -1, 1
Let u(l) be the third derivative of -l**8/112 + l**7/140 + 17*l**6/80 + 7*l**5/20 - 68*l**2 - 2*l. Solve u(s) = 0.
-2, -1, 0, 7/2
Suppose -843 + 207 = -318*q. Factor -3/7*t**4 - 6/7*t - 15/7*t**q - 12/7*t**3 + 0.
-3*t*(t + 1)**2*(t + 2)/7
Let f = -119 - -121. Factor -2*b**3 - 44*b**2 + 114*b**f - 33*b**3 + 5*b**4 - 40*b.
5*b*(b - 4)*(b - 2)*(b - 1)
Solve -4/7*b**3 - 68/7*b**2 - 76/7*b + 12/7*b**4 - 24/7 = 0.
-1, -2/3, 3
Let z = 14849/28 + -2119/4. Let 36/7 - 20/7*a**2 + z*a**3 + 12/7*a = 0. What is a?
-1, 3
Let j(d) be the first derivative of 0*d**2 + 4/15*d**3 + 11*d - 2/75*d**6 - 3 + 4/25*d**5 - 1/3*d**4. Let t(r) be the first derivative of j(r). Factor t(q).
-4*q*(q - 2)*(q - 1)**2/5
Let q(y) be the first derivative of -45*y**2/2 + y + 3. Let u be q(-1). Factor u*w**3 + 6*w**4 + 52*w**2 + 9*w**4 + 26*w + 4 + 2*w**2 - w**4.
2*(w + 1)**3*(7*w + 2)
Let w(f) = 15*f + 21. Let s be w(3). Let j = s - 326/5. Solve j*h - 3/5 - 1/5*h**2 = 0 for h.
1, 3
Let b(r) be the third derivative of 0 + 0*r + 1/4*r**3 - 19*r**2 - 9/20*r**5 - 1/32*r**4. Factor b(p).
-3*(4*p + 1)*(9*p - 2)/4
Let p be (-1)/(-7) - (-24)/(-168). Let f(i) be the third derivative of 0*i**5 + 0*i**3 - 4*i**2 - 1/12*i**4 + p*i + 0 + 1/60*i**6. Determine a so that f(a) = 0.
-1, 0, 1
Let x(k) be the second derivative of -32*k + 0*k**2 + 1/135*k**6 - 1/27*k**3 - 1/30*k**5 + 0 + 1/18*k**4. Solve x(r) = 0 for r.
0, 1
Let z be (-3 + 0)/(12/(-68)). Let n(l) = 2*l + 9. Let r be n(z). What is p in r*p**5 + 5*p**4 + 20*p + 20 - 25*p**2 + 35*p**5 - 25*p**3 - 73*p**5 = 0?
-2, -1, 1, 2
Let n(s) = 8*s - 158. Let h be n(20). Let u(g) be the first derivative of -9/2*g - 3*g**h + 10 + 7/2*g**3. Factor u(r).
3*(r - 1)*(7*r + 3)/2
Let h be (301/(-129))/(98/(-182)). Solve 2/3 + h*p - 5*p**2 = 0 for p.
-2/15, 1
Let l(v) be the third derivative of -5/6*v**3 + 0 - 1/20*v**5 - 3/8*v**4 + 0*v - 29*v**2 + 1/120*v**6. Factor l(o).
(o - 5)*(o + 1)**2
Let q(w) = -w - 7. Let r be q(-7). Suppose 0*a - 3*a - b + 63 = r, 4*a - b = 91. Let 23*f - 4 - f + 4*f**2 - a*f**2 = 0. Calculate f.
2/9, 1
Let p