, 4*b - 4*l - 12 = 0. Let w be ((-15)/6 - -3)*(-4)/b. Determine t so that 8/5 - 6/5*t**w + 0*t + 2/5*t**3 = 0.
-1, 2
Let s = -9626 + 9628. Factor 0 - j - 5/4*j**s - 1/4*j**3.
-j*(j + 1)*(j + 4)/4
Factor -403 - 7*x**3 + 197 + 200 - 24*x**2 - 23*x.
-(x + 1)*(x + 2)*(7*x + 3)
Let s = 9 - 13. Let i be (15/16)/(-5)*s. Factor 3/2*m - 3/4 - i*m**2.
-3*(m - 1)**2/4
Let u(t) be the third derivative of 3*t**2 + 1/1020*t**6 + 0 + 0*t**4 + 0*t**7 + 0*t**5 + 0*t - 1/2856*t**8 + 0*t**3. Factor u(c).
-2*c**3*(c - 1)*(c + 1)/17
Find s such that 3/2*s**5 - 9/2*s**3 + 0 + 0*s**2 + 0*s + 3*s**4 = 0.
-3, 0, 1
Suppose 6*m + 2*g - 10 = 2*m, -2*m + 3*g + 25 = 0. Factor -2*n**m - 5*n**4 + 4*n**2 - 10*n**3 + 11*n**4 + 2*n**4.
-2*n**2*(n - 2)*(n - 1)**2
Let p(a) be the first derivative of 5*a**6/6 + 28*a**5 - 295*a**4/4 + 50*a**3 - 744. Factor p(k).
5*k**2*(k - 1)**2*(k + 30)
Let l = 72/19 + -18/95. Let q be 72/80*(560/(-21))/(-10). Factor -q*z**2 + 0 - 12/5*z**4 - 3/5*z**5 - l*z**3 - 3/5*z.
-3*z*(z + 1)**4/5
Factor -200/13*i**2 + 0 + 0*i - 42/13*i**4 - 240/13*i**3 - 2/13*i**5.
-2*i**2*(i + 1)*(i + 10)**2/13
Let v(c) be the second derivative of -c**4/6 - 15*c**3 + 94*c**2 + 30*c + 2. What is t in v(t) = 0?
-47, 2
Let a(g) be the third derivative of -g**6/15 + 7*g**5/30 + 49*g**4/6 + 8*g**3 - g**2 + 2*g. Factor a(p).
-2*(p - 6)*(p + 4)*(4*p + 1)
Let r(f) be the second derivative of f**5/300 - 7*f**4/120 + f**3/5 - 11*f**2/2 - 5*f. Let a(n) be the first derivative of r(n). Determine k so that a(k) = 0.
1, 6
Let p = 86 - 83. Suppose 0*s + 2*f = s + 7, -5*f = s - 28. Find y, given that -2*y**2 - 12*y**p - 12*y**s + 5*y**2 + 48*y**4 = 0.
0, 1/4
Let o be 3630/(-725) + 1 + 4. Let v = 1307/290 + o. Determine j, given that -3*j**2 + v*j + 0 + 1/2*j**3 = 0.
0, 3
Let v(z) be the first derivative of -z**2/2 + 2*z - 9. Let w be v(-1). Factor -4*s**4 + w*s**5 - s + s + s**4.
3*s**4*(s - 1)
Let k(b) be the first derivative of -2/5*b**5 + 0*b + 0*b**2 - 12 + 1/2*b**4 - 1/3*b**6 + 2/3*b**3. Factor k(n).
-2*n**2*(n - 1)*(n + 1)**2
Let i(l) be the third derivative of -l**5/80 + 161*l**4/32 + 81*l**3/4 - 512*l**2. Find x, given that i(x) = 0.
-1, 162
Let r(u) be the first derivative of -u**5 + 15*u**4/4 - 339. Determine l, given that r(l) = 0.
0, 3
Factor 2/9*c**2 + 4802/9 - 196/9*c.
2*(c - 49)**2/9
Let z(d) be the third derivative of d**6/160 - 37*d**5/80 + 9*d**4/8 - 4*d**2. Determine x so that z(x) = 0.
0, 1, 36
Let c = -5 + 8. Suppose -30*u + 9 = -27*u - 3*p, -2*u - 3*p = -6. Factor 33/2*f**2 + c*f + 24*f**u + 0 + 21/2*f**4.
3*f*(f + 1)**2*(7*f + 2)/2
Let y(d) be the second derivative of -d**5/60 - 11*d**4/36 - 5*d**3/9 - 44*d + 3. Let y(z) = 0. Calculate z.
-10, -1, 0
Suppose -24*i + 10*i**3 - 76*i**2 + 24*i**3 + i**3 - 67*i**3 = 0. What is i?
-2, -3/8, 0
Suppose 0*j**3 + 10*j + 5*j**3 + 4*j**2 - 3*j**3 - 11*j + 3*j = 0. What is j?
-1, 0
Let w(i) be the third derivative of -i**6/180 + 19*i**4/36 + 10*i**3/3 - 126*i**2. Factor w(k).
-2*(k - 5)*(k + 2)*(k + 3)/3
Suppose 3*h + i - 2 = 0, 5*i = -2*h - 14 - 2. Factor -y**4 + 13 - 4*y + 16 - 3*y**h - 25 + 4*y**3.
-(y - 2)**2*(y - 1)*(y + 1)
Let z(f) be the second derivative of 5*f**7/42 - f**6/2 + f**5/2 + 5*f**4/6 - 5*f**3/2 + 5*f**2/2 + 38*f. Factor z(s).
5*(s - 1)**4*(s + 1)
Suppose -4*a = 3*l + 9, -a - 4*a = l + 3. Factor -1/6*o**2 + a*o + 0.
-o**2/6
Let t = 34982 + -314836/9. What is y in 0 + 16/9*y + t*y**4 - 8/9*y**2 - 4/9*y**3 = 0?
-2, 0, 2
Let x(v) = 7*v**3 + 10*v**2 - 2*v. Let l(j) = -13*j**3 - 19*j**2 + 3*j. Let g(q) = 6*l(q) + 11*x(q). Factor g(k).
-k*(k + 2)**2
Let p(j) be the second derivative of -j**6/90 + j**5/15 - j**4/12 - 2*j**3/9 + 2*j**2/3 + 8*j - 5. Factor p(t).
-(t - 2)**2*(t - 1)*(t + 1)/3
Find d such that 0 - 8*d - 14/3*d**4 - 32/3*d**2 + 50/3*d**3 = 0.
-3/7, 0, 2
Let c(z) = -3*z**4 - z**3 - z**2 - 3*z. Let j(t) = -7*t**4 - t**2 - 133 - t**3 + 133 - 7*t. Let u(p) = 5*c(p) - 2*j(p). Factor u(w).
-w*(w + 1)**3
Find i, given that 2*i**4 + 4*i - 34/5*i**2 + 0 - 2/5*i**5 + 6/5*i**3 = 0.
-2, 0, 1, 5
Let g(i) be the first derivative of i**3/9 - 91*i**2/3 + 8281*i/3 + 626. Solve g(s) = 0 for s.
91
Let r(c) be the second derivative of 0 - 2*c + 1/2*c**2 + 49/120*c**5 - 7/8*c**4 + 3/4*c**3. Let p(s) be the first derivative of r(s). Factor p(j).
(7*j - 3)**2/2
Let n(l) be the third derivative of -l**8/224 + 7*l**6/80 + 3*l**5/20 + 2*l**2 - 66. Determine u, given that n(u) = 0.
-2, -1, 0, 3
Let k(f) be the third derivative of -1/54*f**4 + 1/90*f**5 + 0*f + 0 + 11*f**2 - 1/540*f**6 + 0*f**3. Factor k(r).
-2*r*(r - 2)*(r - 1)/9
Let k(z) be the first derivative of -z**6/33 - 58*z**5/55 - 60*z**4/11 - 300. Suppose k(r) = 0. Calculate r.
-24, -5, 0
Factor -511/4*o**2 + 1551/4*o - 1089/4 + 49/4*o**3.
(o - 1)*(7*o - 33)**2/4
Let u(r) be the second derivative of r**5/110 - r**4/6 - 4*r**3/11 - r + 27. Factor u(o).
2*o*(o - 12)*(o + 1)/11
Factor 18/19*k**3 + 0 + 2/19*k**4 + 48/19*k**2 + 32/19*k.
2*k*(k + 1)*(k + 4)**2/19
Let r = -25 - -65. Factor -8*t**3 + r*t - 2*t**4 + t**4 + 5 - 30 - 4*t**2 - 2*t**2.
-(t - 1)**2*(t + 5)**2
Suppose -65 = -5*o - 5*v, v - 2 = 3. Let m(l) = -3*l**2 + 20*l + 32. Let j be m(o). Let j + 14/9*t**3 + 0*t + 2*t**4 - 4/9*t**2 = 0. What is t?
-1, 0, 2/9
Suppose -233*a = -229*a + 24. Let c be (0 - a/18)*1. What is m in 0 + 2/3*m**5 - 17/6*m**4 + c*m - 13/6*m**2 + 4*m**3 = 0?
0, 1/4, 1, 2
Suppose 8 = 2*l + 2*y, 2*l - y - y - 12 = 0. Let d be (-1)/l + 5/(-25)*-4. Determine w, given that d*w**3 - 3/5*w + 0 - 3/5*w**2 + 3/5*w**4 = 0.
-1, 0, 1
Let o be ((-9)/(-5) + -1)/(8/(-220)). Let y = o - -45/2. Factor 1 + 1/2*w - y*w**2.
-(w - 2)*(w + 1)/2
Suppose -5*g - 102 + 17 = 0. Let l = -47/3 - g. Factor -2/3*f + l*f**2 + 0 - 2/3*f**3.
-2*f*(f - 1)**2/3
Let i = -14 + 17. Suppose -3*m = -h - 9, 0 = -m + 4*h - 3*h + i. Factor -2*x**3 - 2*x**2 + 3*x + 0*x**2 - m*x**4 + 1 + 2*x**5 + 4*x**2 - 3*x**5.
-(x - 1)*(x + 1)**4
Suppose -4*j = -0*p + 4*p + 4, 3*p = -12. Suppose 108/5*q - 42/5*q**2 - 171/5*q**j + 24/5 + 81/5*q**4 = 0. What is q?
-2/3, -2/9, 1, 2
Suppose r - 21 = -0*p - 3*p, 0 = 3*r - 9. Let h be (40/p)/5*(-9)/(-24). Find a such that -1/4 - h*a - 1/4*a**2 = 0.
-1
Let o(m) = -m**2 + 2. Let h(a) = -7*a**2 + 18*a - 2. Let p(w) = -h(w) - 3*o(w). Factor p(d).
2*(d - 2)*(5*d + 1)
Suppose -2*w = -5*y + 11, -2*w - 8 = 27*y - 31*y. Factor 2/3*a**w + 0 + 4/3*a.
2*a*(a + 2)/3
Let j(b) be the first derivative of b**7/315 - b**6/45 - b**5/90 + b**4/9 - 11*b**2 + 35. Let w(z) be the second derivative of j(z). Factor w(i).
2*i*(i - 4)*(i - 1)*(i + 1)/3
What is y in 440/3 + 16/3*y**2 - 588*y = 0?
1/4, 110
Let s(q) = -q**3 + 5*q**2 + 2*q + 2. Let d be s(5). Let f = -2 + 4. Factor -25*y**2 + d*y**2 + 6*y - 6*y**3 + 15*y**4 - f*y**2.
3*y*(y - 1)*(y + 1)*(5*y - 2)
Let v(c) = -10*c**3 - 48*c**2 - 134*c + 12. Let b(d) = -39*d**3 - 192*d**2 - 537*d + 46. Let o(t) = -6*b(t) + 23*v(t). Factor o(f).
4*f*(f + 5)*(f + 7)
Let u(m) be the second derivative of -m**7/210 + 7*m**6/150 - 7*m**5/100 - 23*m**4/60 + 4*m**3/15 + 8*m**2/5 - 116*m. Solve u(s) = 0.
-1, 1, 4
Let v = 11 - 9. Let 2*d**2 + 24*d + 3*d**5 + 4*d**v - 12 - 15*d**3 - 11*d**2 + 3*d**4 + 2*d**2 = 0. Calculate d.
-2, 1
Let k be (40 + -59)*(0 + 1)*12/(-114). What is w in 1/2 - 15/8*w - 1/2*w**k = 0?
-4, 1/4
Let t(k) be the first derivative of -k**4/2 - 10*k**3/3 + k**2 + 10*k + 6. What is f in t(f) = 0?
-5, -1, 1
Let x(v) be the first derivative of v**4/30 - 2*v**3/15 + 15*v + 14. Let y(c) be the first derivative of x(c). Factor y(b).
2*b*(b - 2)/5
Let n = -21 + 14. Let u(i) = i**2 + 6*i - 5. Let a be u(n). Determine x so that -1/4*x**a - 1/4*x + 1/4*x**3 + 1/4 = 0.
-1, 1
Let p(z) be the second derivative of 1/2*z**2 + 1/5*z**5 - 2/3*z**3 + z + 0 + 1/6*z**4 - 1/10*z**6. Determine a so that p(a) = 0.
-1, 1/3, 1
Suppose 4*n + 0*n - 5*j = 1, 3*n - 3 = 3*j. Let u = 866/1491 - 2/213. Factor 0*l**2 - 2/7 + u*l - 4/7*l**3 + 2/7*l**n.
2*(l - 1)**3*(l + 1)/7
Factor 341*i**3 - 170*i**3 + 35*i - 176*i**3 + 30*i**2.
-5*i*(i - 7)*(i + 1)
Let c = -28/3 + 85/9. Let z(i) be the first derivative of -c*i**2 + 5 - 4/9*i + 2/27*i**3. Determine r, given that z(r) = 0.
-1, 2
Let z(q) be the third derivative of -q**6/420 - q**5/35 + 5*q**4/28 + 100*q**3/21 + 119*q**2. Factor z(d).
-2*(d - 4)*(d + 5)**2/7
Let 