*2*(v - 4)*(v + 6)/11
Let v = -2194703/5 + 438943. Solve 36/5*i + 1/5*i**3 + 0 + v*i**2 = 0 for i.
-6, 0
Let h(o) be the second derivative of o**7/33 + 8*o**6/165 - 17*o**5/55 + 8*o**4/33 + o**3/11 - 107*o + 3. Find p, given that h(p) = 0.
-3, -1/7, 0, 1
Let d(l) be the third derivative of l**8/560 + l**7/70 + l**6/20 + l**5/10 + l**4/8 - l**3/6 - 28*l**2. Let q(j) be the first derivative of d(j). Factor q(x).
3*(x + 1)**4
Let d = 753 + -643. Suppose d = 8*q + 110. Solve 1/2*o**3 + 0*o + q + 1/2*o**2 = 0 for o.
-1, 0
Let w be -1*(-13 + 20) - -11. Factor 0*h**3 + 20/9 - 1/9*h**4 + 17/9*h**2 + w*h.
-(h - 5)*(h + 1)*(h + 2)**2/9
Find l such that -28*l**3 - 4*l**4 + 74413*l**2 + 0*l**4 + 24 + 28*l - 74433*l**2 = 0.
-6, -1, 1
Let z be 5 - ((-51)/85 - 94/10). Let c be ((-8)/100*-5)/(2/z). Suppose -6/5 + 3/5*i**4 - 9/5*i**2 + c*i - 3/5*i**3 = 0. What is i?
-2, 1
Let f(r) be the third derivative of -r**5/210 - 317*r**4/7 - 1205868*r**3/7 - 583*r**2 - 3. Let f(l) = 0. Calculate l.
-1902
Let w(g) = -3*g + 3*g**3 + 34*g**4 + g**2 - 35*g**4 + 7*g**3 - g**5. Let z(x) = -x**3 - x. Let p(r) = w(r) + 3*z(r). Let p(k) = 0. What is k?
-3, -1, 0, 1, 2
Determine w, given that -734/3*w + 134689/3 + 1/3*w**2 = 0.
367
Let p be (-16)/3 + 6 + 8/6. Let 2*g - 4 + p*g - 6*g + 0*g**2 + 2*g**2 = 0. Calculate g.
-1, 2
Let w(p) be the first derivative of -p**3/15 + 113*p**2/10 - 112*p/5 + 3818. Factor w(t).
-(t - 112)*(t - 1)/5
Let j(a) = -12*a**2 + 128. Let d(f) = -8*f**2 + f + 84. Let m(i) = 8*d(i) - 5*j(i). Factor m(b).
-4*(b - 4)*(b + 2)
Determine o, given that 47*o - 157*o**3 + 465*o**4 + 24*o**5 - 319*o**2 - 193*o**3 - 69*o**5 - 932*o - 135 - 1291*o**2 = 0.
-1, -1/3, 3, 9
Let b(m) = -2*m**5 + 6*m**4 - m**2 + 1. Let c(q) = 12*q**5 - 124*q**4 + 812*q**3 - 2488*q**2 + 2928*q - 1156. Let w(x) = -4*b(x) - c(x). Solve w(n) = 0.
1, 3, 8, 12
Let i(g) be the third derivative of 0*g + 0 - 1156/21*g**3 - 17/21*g**4 - 7*g**2 - 1/210*g**5. Factor i(q).
-2*(q + 34)**2/7
Let y(k) = -k**2 - 13. Let u be y(-6). Let s = u + 51. Factor -50 - o**s + 5*o + 60 - 4*o**2.
-5*(o - 2)*(o + 1)
Let n(h) be the second derivative of h**4/42 + 6*h**3/7 - 40*h**2/7 + 2308*h. Factor n(s).
2*(s - 2)*(s + 20)/7
Factor 32*k**3 + 27*k**3 + 75 - 81*k**3 + 155*k + 85*k**2 + 27*k**3.
5*(k + 1)**2*(k + 15)
What is f in -76*f**2 + 218*f - 2*f**4 - 138*f**2 + 19453 - 9566 - 9671 - 218*f**3 = 0?
-108, -1, 1
Let j be 21 - 2 - (-9 + -2 - -6). Let h be 10 + (-8)/j*15. Find f, given that -8/5*f - 8/5*f**h + 16/5*f**3 - 4/5*f**2 + 2/5*f**4 + 2/5 = 0.
-1, 1/4, 1
Suppose 110 - 251 = -3*d. Factor d*f - 819*f**2 - 2*f**3 - 6*f**4 - 196*f**3 + 1029 - 1664*f + 75*f**3.
-3*(f + 7)**3*(2*f - 1)
Factor -4*d**2 - 89695*d + 89673*d + 2*d**3 + 6 + 18.
2*(d - 4)*(d - 1)*(d + 3)
Let i be 4/6 - 228/(-171). Factor 25*x + 9*x**i - 34*x - 21*x + 9*x**4 + 48*x**3.
3*x*(x + 1)*(x + 5)*(3*x - 2)
Let z(h) be the third derivative of -h**6/180 + 167*h**5/90 - 1634*h**4/9 - 36980*h**3/9 + 3795*h**2 - h. Factor z(j).
-2*(j - 86)**2*(j + 5)/3
Let c be ((-9)/12)/(2827/220 - 13). Let a(z) be the third derivative of 1/10*z**6 - 16/3*z**3 - 1/105*z**7 - 3*z**2 + 0*z - 2*z**4 + 0 - 1/30*z**c. Factor a(v).
-2*(v - 4)**2*(v + 1)**2
Factor 104 + w**2 - 139*w + 15 + 2 + 17.
(w - 138)*(w - 1)
Let i be (-1)/(-2*(-3)/(-12)). Let c(g) = -g**3 + 129*g**2 - 124*g - 512. Let y be c(128). Factor y + s**3 - 1/2*s + 1/2*s**i.
s*(s + 1)*(2*s - 1)/2
Let j = 7226/135 - 11077/270. Find c, given that 0 + 1/2*c**3 - 13*c + j*c**2 = 0.
-26, 0, 1
Factor 7*b + 19/2*b**2 + 0 - 1/2*b**4 + 2*b**3.
-b*(b - 7)*(b + 1)*(b + 2)/2
Suppose -7*c - 26967 = -10*c. Suppose -c = -5*p + 3736. Factor -4*f**3 - 2545 + p + 4*f**5.
4*f**3*(f - 1)*(f + 1)
Determine p, given that p**5 + 84*p**3 - 103*p**3 + p**4 - 5*p**2 - 2*p + 16*p**3 = 0.
-1, 0, 2
Let g(w) be the first derivative of w**6/18 - 14*w**5/15 - 11*w**4/2 - 104*w**3/9 - 71*w**2/6 - 6*w - 1115. Factor g(b).
(b - 18)*(b + 1)**4/3
Factor 266 - 137/2*w + 1/2*w**2.
(w - 133)*(w - 4)/2
Let k be ((-5970)/(-150))/((-3)/(-75)). Let p = -992 + k. Factor 1/6*n**2 + 0*n**p - 1/6*n**4 + 0*n + 0.
-n**2*(n - 1)*(n + 1)/6
Let n(g) be the second derivative of -1/40*g**6 - 1/2*g**3 + 7*g - 9/16*g**4 + 9/40*g**5 + 3 + 9/2*g**2. Suppose n(q) = 0. What is q?
-1, 2, 3
Let t(z) be the second derivative of -35*z**7/6 - 847*z**6/10 - 3107*z**5/20 - 245*z**4/4 + 56*z**3/3 + 18*z**2 + 6821*z. Suppose t(q) = 0. Calculate q.
-9, -1, -2/7, 1/5
Suppose 0 = -u - 4*m + 22 - 4, 0 = -u - 2*m + 10. Let c(z) be the second derivative of -65/6*z**3 + 0 - 25/4*z**4 + 5*z**u - 24*z. Factor c(o).
-5*(o + 1)*(15*o - 2)
Let o be 6*(-4 + 45/10). Suppose 5*x - 54 = 3*v, -o*x - 2*v + 42 - 2 = 0. Factor x - 23 + q**2 + 11.
q**2
Let b(a) be the second derivative of -1/4*a**2 - 45*a - 5/12*a**4 + 1/180*a**6 - 1 + 3/20*a**5 + 17/36*a**3 - 1/84*a**7. Let b(q) = 0. What is q?
-3, 1/3, 1
Let b(v) be the second derivative of 0 - 50/3*v**3 + 4/3*v**4 - 90*v + 12*v**2. Factor b(r).
4*(r - 6)*(4*r - 1)
Suppose 3*d - 7*o - 187 = -2*o, -3*d + 195 = 3*o. Factor 6*b**2 + 66*b**3 + 6*b**2 - 192*b - 51042*b**4 + 51052*b**4 + d + 40*b**2.
2*(b - 1)*(b + 4)**2*(5*b - 2)
Let a(j) be the first derivative of -66*j**6 - 84*j**5 + 273*j**4/4 + 72*j**3 - 87*j**2/2 - 6*j + 447. Solve a(r) = 0 for r.
-1, -2/33, 1/2
Let q(n) = 3*n**2 - 2*n + 1. Let f be q(3). Suppose 7*s + 1 = f. Find x, given that -9*x**s + 3 + 20*x**2 - x**3 - 25*x + 7 + 5*x**3 = 0.
1, 2
Suppose 3*q = -23*s + 26*s, 0 = 2*s - 7*q + 3*q + 4. Factor -7/6*d + 1/6*d**s + 0.
d*(d - 7)/6
Let n(g) be the first derivative of 3*g**4/32 + 129*g**3/8 + 792*g**2 + 1536*g - 24. Solve n(b) = 0.
-64, -1
Let y = 6780 - 6780. Let a(s) be the second derivative of -7/90*s**5 + 1/135*s**6 + y - 20/27*s**3 + 8*s + 1/3*s**4 + 8/9*s**2. Factor a(p).
2*(p - 2)**3*(p - 1)/9
Let m = -1/45938 + 1286267/137814. Solve 16*i - 16/3*i**2 + 0 - 4/3*i**4 - m*i**3 = 0.
-6, -2, 0, 1
Suppose 53*t + 30 = 114*t - 30*t - 32. Solve 2/7*a**t + 5408/7 + 208/7*a = 0.
-52
Suppose 0 = -2*u + 2*p + 4, -5*u - 2*p + 3 = -7. Let j be (-6)/12 + 11/u - 2. Factor 17 - 12*n - 6*n**j - 8 + 3 - 21*n**2.
-3*(n + 2)**2*(2*n - 1)
Determine f, given that 522*f**3 - 88*f + 4*f**4 - 1061*f**3 + 561*f**3 + 0*f**2 + 8*f**2 - 6*f**4 = 0.
-2, 0, 2, 11
Factor 81 + 52 + 36*l + 96 - 3*l**2 + 70 + 100.
-3*(l - 19)*(l + 7)
Let b(x) = -3*x**3 - 4*x**2 - 12*x + 8. Let j(k) = -2*k**3 - 3*k**2 - 13*k + 6. Let n be (-15)/(-25)*2*20/(-6). Let d(f) = n*j(f) + 3*b(f). Factor d(o).
-o*(o - 4)*(o + 4)
What is c in 17*c**4 + 369*c**3 + 1476 + 2510*c**2 + 4*c**4 - 844*c**2 + 1211*c**2 - 2127*c**3 + 6132*c = 0?
-1, -2/7, 3, 82
Let b = -26314 + 78946/3. Let h(y) be the third derivative of 2*y**2 - b*y**3 + 1/60*y**5 + 1/12*y**4 + 0*y + 0. Determine f, given that h(f) = 0.
-4, 2
Let c(f) be the second derivative of 1/8*f**4 - 4*f + 0 + 1/40*f**5 - 4*f**2 + 1/4*f**3. Let p(i) be the first derivative of c(i). Factor p(r).
3*(r + 1)**2/2
Let i(j) be the first derivative of j**5/75 - 26*j**4/15 + 1352*j**3/15 - 83*j**2/2 + 54. Let b(q) be the second derivative of i(q). Factor b(z).
4*(z - 26)**2/5
Let n(y) be the second derivative of y**6/10 + 3*y**5/28 - y**4/14 - 13*y - 39. Let n(v) = 0. What is v?
-1, 0, 2/7
Let 1/2*m**2 - 88*m + 3872 = 0. What is m?
88
Let d(b) be the second derivative of -3*b**5/20 + 17*b**4/4 - 28*b**3 + 78*b**2 - 36*b - 21. Factor d(v).
-3*(v - 13)*(v - 2)**2
Let q be 12/(-16)*4/(-5). Suppose 3*f + 35*t - 21 = 36*t, -3*f - 51 = 5*t. What is p in -q*p**f + 3/5*p + 0 - 3/5*p**2 + 3/5*p**4 = 0?
-1, 0, 1
Factor -7 - 4390*k + 7 - 4395*k**2 - 15618708*k**3 + 15618703*k**3.
-5*k*(k + 1)*(k + 878)
Let s be 0 - ((-39)/(-8) - ((8 - -4) + -7)). Let j(q) be the first derivative of -s*q**2 - 5/16*q**4 - 1/2*q + 2/3*q**3 - 17. Factor j(x).
-(x - 1)**2*(5*x + 2)/4
Let s = -64494 + 64574. What is r in -s*r - 2/3*r**3 - 46/3*r**2 + 96 = 0?
-12, 1
Find s such that -47*s + 156*s**2 + 51*s + s**5 + 3319*s**3 - 3240*s**3 + 104*s + 16*s**4 = 0.
-9, -3, -2, 0
Solve -2/7*p**2 + 8/7*p - 2/7*p**3 + 8/7 = 0 for p.
-2, -1, 2
Let t(a) be the first derivative of -21*a**5/5 - 421*a**4/4 - 1334*a**3/3 - 478*a**2 + 392*a + 2156. What is u in t(u) = 0?
-49/3, -2, 2/7
Let q(c) be the first derivative of c**5/15 + 23*c**4/3 + 853