e -4*g - r = g + 356, -12 = -3*r. Let n be (g/12 - (0 - 2)) + 6. Let 0 - 2/15*p**n + 4/15*p = 0. What is p?
0, 2
Suppose 0 = c + 2*o + 2174, 4*o - 7*o = 0. Let f = -2172 - c. Factor -20/13 - 6/13*n + 2/13*n**f.
2*(n - 5)*(n + 2)/13
Suppose 2185 - 2111 = -0*j + 37*j. Factor -t + 2/3*t**j - 2/3 + t**3.
(t - 1)*(t + 1)*(3*t + 2)/3
Let k(x) be the third derivative of -1/840*x**7 + 0 + 1/4*x**3 + 1/160*x**6 + 17/96*x**4 + 0*x + 68*x**2 + 1/16*x**5. Factor k(d).
-(d - 6)*(d + 1)**3/4
Factor -968/9 - 2/9*r**2 + 88/9*r.
-2*(r - 22)**2/9
Let f be 236/(-56) + 4 + 18990/5908. Find d, given that 40/3*d - 74/3*d**2 - 8/3 + 20*d**f - 6*d**4 = 0.
2/3, 1
Let 6*n**2 - 68/9*n - 112/9 - 2/9*n**4 + 8/9*n**3 = 0. Calculate n.
-4, -1, 2, 7
Find o, given that -627*o**2 + 2*o**3 + 168 - 208*o + 635*o**2 + 30*o = 0.
-12, 1, 7
Let l = 458361 - 1833411/4. Factor l*c - 27/2 - 3/4*c**2.
-3*(c - 9)*(c - 2)/4
Let k(w) be the second derivative of w**5/150 + 2*w**4/5 + 48*w**3/5 + 36*w**2 - 28*w + 2. Let y(c) be the first derivative of k(c). Solve y(h) = 0 for h.
-12
Let w be 64/900 + 18/(-405). Let x(b) be the first derivative of -4/15*b**2 - 4/15*b**3 + 4 - 2/15*b**4 - w*b**5 - 2/15*b. Let x(f) = 0. Calculate f.
-1
Let b(i) be the second derivative of -i**5/20 + 2*i**4/3 - 5*i**3/6 - 40*i**2 - 28*i. Let t(n) be the first derivative of b(n). Find u, given that t(u) = 0.
1/3, 5
Let g be 75 + -42 + (-1746)/54. Factor 0 - g*p**3 + 8/3*p**2 - 8/3*p.
-2*p*(p - 2)**2/3
Let a(h) be the second derivative of -h**5/80 + 29*h**4/24 - 109*h**3/24 - 21*h**2 + 7*h + 27. Find q such that a(q) = 0.
-1, 3, 56
Factor 13*y**3 - 16682919*y - 34*y**3 + 336 + 339*y**2 + 16682265*y.
-3*(y - 14)*(y - 1)*(7*y - 8)
Let -18*n + 2/9*n**2 + 0 = 0. Calculate n.
0, 81
Suppose -8*w = 2*w + 40. Let d be (w*6)/2*3/(-9). Find z, given that -2*z**d + 4*z**2 - 19 + 17 + 0*z**2 = 0.
-1, 1
Let y(c) be the first derivative of -99 + 9/4*c - 3/4*c**2 + 1/12*c**3. Let y(l) = 0. Calculate l.
3
Find v, given that -32/5*v**2 + 2/5*v**3 + 22*v + 0 = 0.
0, 5, 11
Let b be (9 + 2330/(-270))/((-12)/(-36)). Let c = -374/7 + 3422/63. Factor -c*n - 4/9*n**3 - b*n**2 - 2/9.
-2*(n + 1)**2*(2*n + 1)/9
Let v(y) = 9*y**2 - 44*y + 3. Let j(c) = -3*c**2 + 15*c - 1. Let m(l) = 17*j(l) + 6*v(l). Let b be m(6). Factor -7*i - 23*i + 75 - b*i**2 + 58*i**2.
3*(i - 5)**2
Suppose 0 = -3625*k + 3629*k - 372. Suppose -17*x + 48*x = k. Factor -16/5*y**2 - 2/15*y**4 + 44/15*y + 4/3*y**x - 14/15.
-2*(y - 7)*(y - 1)**3/15
Let a(t) = -87*t**2 - 1079*t + 8164. Let n(b) = 16*b**2 + 216*b - 1632. Let o(g) = 2*a(g) + 11*n(g). Factor o(i).
2*(i - 7)*(i + 116)
Let q(w) be the third derivative of -2*w + 0*w**4 - 33*w**2 + 0*w**3 + 0*w**5 + 0 + 1/616*w**8 + 0*w**6 + 1/385*w**7. Determine m so that q(m) = 0.
-1, 0
Let w(n) be the first derivative of 0*n - 1/5*n**3 - 4/5*n**6 - 3/20*n**4 + 110 + 6/5*n**5 + 0*n**2. Determine i, given that w(i) = 0.
-1/4, 0, 1/2, 1
Suppose 2*p = -4*a + 522, -6*a + 3*a + 399 = 4*p. Let r = a - 126. Factor 2/3*c + 5/3*c**2 + c**r + 0.
c*(c + 1)*(3*c + 2)/3
Find l, given that 356/5*l**2 - 2/5*l**3 - 716/5 + 362/5*l = 0.
-2, 1, 179
Let v(w) = -14*w + 109. Let q be v(7). Suppose 66 - 88 = -q*h. Factor 18/11*r**h - 6/11*r**3 + 0*r + 0.
-6*r**2*(r - 3)/11
Suppose 69/2*i**3 - 135/2*i**2 + 1/4*i**5 - 23/4*i**4 + 405/4 - 27/4*i = 0. What is i?
-1, 3, 15
Suppose 23*m = 30*m - 161. Factor m*j**3 - 91*j**5 + 6*j**2 + 8*j**4 + 14*j**4 + 96*j**5.
j**2*(j + 1)*(j + 3)*(5*j + 2)
Let b be ((-21)/(-14))/(945/210). Factor 11/3*f - b*f**2 + 4.
-(f - 12)*(f + 1)/3
Let b = -62 + 64. Suppose -2*w + 6 = -b. Find y, given that 87*y**3 - 118*y - 94*y + 44*y - 48 + 117*y**2 + 12*y**w = 0.
-4, -1/4, 1
Let g be ((-123)/41)/((-3)/5). Suppose 10 = -g*q, k + q - 5 = -4. Suppose -2/19*z**k + 2/19*z - 2/19*z**4 + 0 + 2/19*z**2 = 0. Calculate z.
-1, 0, 1
Suppose f + 3 = 3*v, -4 = -2*v + f - 1. Let n = 22037/6 - 22033/6. Factor n*x**3 + v*x + 0*x**2 + 0.
2*x**3/3
Let d = 3308 - 3303. Let z(h) be the third derivative of 0*h**4 + 0 + 0*h + 0*h**7 - 9*h**2 + 0*h**3 - 2/15*h**d + 1/10*h**6 - 1/84*h**8. What is b in z(b) = 0?
-2, 0, 1
Let c(p) be the first derivative of 17/2*p**2 + 1/3*p**3 + 30*p - 46. Factor c(m).
(m + 2)*(m + 15)
Let i(h) be the third derivative of -h**6/1140 + 163*h**5/285 + h**4/57 - 1304*h**3/57 + 120*h**2 + h + 9. Determine j so that i(j) = 0.
-2, 2, 326
Let p be (-7)/(-3)*4707/3661. Suppose 0 + 4/3*f + 8/3*f**2 + 4/3*f**p = 0. What is f?
-1, 0
Let o = 4/19 + 26/57. Let z be 558/248*(-16)/(-12). Factor 7/3*a**2 + 0 - o*a - 5/3*a**z.
-a*(a - 1)*(5*a - 2)/3
Factor g**2 - 6*g - 3*g**4 + 8*g**2 - 5*g + 3*g + 2*g.
-3*g*(g - 1)**2*(g + 2)
Let p(a) be the first derivative of -1/10*a**4 - 69 - 2/3*a**3 - 7/5*a**2 - 6/5*a. Factor p(k).
-2*(k + 1)**2*(k + 3)/5
Let j(f) = 1. Let s(u) = 3*u**2 + u - 1. Let a(l) = 3*j(l) + s(l). Let n be a(-1). Let 7*i**2 + 36*i**3 + 10*i**2 + 3*i**5 + 7*i**2 + 18*i**n = 0. What is i?
-2, 0
Let x(d) be the second derivative of 4*d**5/35 - 281*d**4/7 - 706*d**3/7 - 424*d**2/7 - 578*d + 3. Find h, given that x(h) = 0.
-1, -1/4, 212
Let o = 2223607/658856 - -4/82357. Solve -15/8*q**2 - 3/8*q**5 + 0 + 0*q + o*q**3 - 9/8*q**4 = 0 for q.
-5, 0, 1
Let z(m) be the second derivative of m**7/56 + 29*m**6/40 + 291*m**5/40 - 127*m**4/8 - 195*m**3/8 + 675*m**2/8 - m + 82. Let z(n) = 0. Calculate n.
-15, -1, 1
Let j be 96/(-8 - 8) + (-10 + 9)/((-1)/10). Factor 0 - 1/3*h**2 + 1/3*h**j - 1/3*h**3 + 1/3*h.
h*(h - 1)**2*(h + 1)/3
Let a(f) be the first derivative of -14 - 990*f**2 + 8955*f + 65/3*f**3. Let h(c) = -3*c**2 + 90*c - 407. Let t(u) = 2*a(u) + 45*h(u). Factor t(x).
-5*(x - 9)**2
Suppose 283*g - 61*g = 209 + 679. Factor 3/7*k**g + 2/7*k**5 - 4/7*k**2 - 2/7*k**3 + 1/7 + 0*k.
(k - 1)*(k + 1)**3*(2*k - 1)/7
Let f(x) = 26*x + 170. Let z be f(-16). Let q = 246 + z. Factor q - 4/17*a**3 + 4/17*a + 2/17*a**4 - 2/17*a**2.
2*a*(a - 2)*(a - 1)*(a + 1)/17
Suppose -139*g + 24*g - 104*g - 650085*g**5 - 162*g**3 - 282*g**2 - 63 + 650082*g**5 - 39*g**4 = 0. What is g?
-7, -3, -1
Factor 2/9*c**2 + 68 + 38/3*c.
2*(c + 6)*(c + 51)/9
Let m(w) be the second derivative of -2*w**6/15 + 6*w**5/5 + 25*w**4/3 + 12*w**3 + 2*w - 500. Factor m(n).
-4*n*(n - 9)*(n + 1)*(n + 2)
Factor 2/15*v**2 + 314/15*v + 0.
2*v*(v + 157)/15
Find j, given that -44/3*j**3 - 5/9*j**4 + 83/9*j**2 + 0 + 6*j = 0.
-27, -2/5, 0, 1
Let o(k) be the second derivative of 0 - 150*k - 761/24*k**4 - 39/2*k**3 - 891/80*k**5 - 121/120*k**6 - 5*k**2. Determine b, given that o(b) = 0.
-5, -2, -2/11
Let s(b) be the first derivative of 1/30*b**5 + 10*b + 0*b**2 + 0*b**4 - 1/9*b**3 - 1. Let v(f) be the first derivative of s(f). Factor v(o).
2*o*(o - 1)*(o + 1)/3
Let a(q) be the second derivative of -q**4/3 - 40*q**3/3 - 196*q**2 - 32*q. Let o(d) = 2. Let f(w) = -a(w) + 4*o(w). What is p in f(p) = 0?
-10
Suppose -6*i = -2*u - 3*i + 407, 4*u - 784 = -4*i. Factor 197*f**3 + u*f**4 + 188*f**3 + 80724*f - 89373 - 196*f**4 + 8370*f**2 - 109*f**3.
3*(f - 1)*(f + 31)**3
Let o(i) = 2*i**3 + 5*i**2 + 2*i + 8. Let a be o(-3). Let k(m) = -m**3 - 6*m**2 + 7*m + 3. Let f be k(a). What is c in 2/7 - 6/7*c - 2/7*c**f + 6/7*c**2 = 0?
1
Let t(m) = -5*m**2 - 40*m + 25. Let i(k) = -22*k**2 - 161*k + 98. Let z(x) = -4*i(x) + 17*t(x). What is s in z(s) = 0?
1, 11
Let n(l) be the second derivative of 1/30*l**5 - 54 + 0*l**2 - 1/126*l**7 + 2/45*l**6 - 1/2*l**3 + l - 1/3*l**4. Factor n(m).
-m*(m - 3)**2*(m + 1)**2/3
Suppose 4*r - 3*p - 85 + 49 = 0, 4*p + 48 = -4*r. Find m, given that -25*m**2 - 15/4*m**4 - 10*m + r - 35/2*m**3 = 0.
-2, -2/3, 0
Let l(u) be the third derivative of u**6/40 + 19*u**5/10 + 73*u**4/8 + 18*u**3 + 3*u**2 - 58. Factor l(q).
3*(q + 1)**2*(q + 36)
Suppose 2*v - 3*g - 151 = 0, -17*v - g = -13*v - 267. Let b be (6 - 2) + v/(-20). Factor -4/5*z - b - 1/5*z**2.
-(z + 1)*(z + 3)/5
Let f(r) = 2*r**4 + r**3 - 2*r**2 + r - 1. Let g(i) = 9*i**4 + 10*i**3 - 16*i**2 - 2*i + 3. Let u(j) = -12*f(j) + 3*g(j). Factor u(n).
3*(n - 1)**2*(n + 1)*(n + 7)
Let d(o) = 4*o**3 + 69*o**2 + 124*o + 88. Let u(r) = -30*r**3 - 552*r**2 - 990*r - 705. Let b(i) = 33*d(i) + 4*u(i). Suppose b(s) = 0. What is s?
-2, -7/4
Let d(j) = 2*j**3 - 2*j**2 - 2*j - 2. Let h(w) = 10*w**3 - 4*w - 60. Let r(g) = 6*d(g) - h(g). Factor r(t).
