 + 3)/5
Let g(j) = -3*j**2 - 69*j - 391. Let u be g(-12). Find c such that 4/7*c**4 + 0*c**2 + 0*c + 0 + 2/7*c**3 + 2/7*c**u = 0.
-1, 0
Let v(t) = 5*t**2 - t - 24. Suppose 2142 = -62*g + 592. Let u(r) = -20*r**2 + 5*r + 95. Let o be -1 + (-3 - 1) - 1. Let a(b) = g*v(b) + o*u(b). Factor a(f).
-5*(f - 2)*(f + 3)
Let v(b) = -4*b**2 + 3*b - 5. Suppose 12*q = 7*q + 20. Let h(a) = 12*a**2 + 8*a**2 - 23*a**2 - q + 3*a. Let j(l) = -3*h(l) + 2*v(l). Solve j(p) = 0.
1, 2
Factor 0*y**2 + 0*y - 36/7*y**3 + 2/7*y**4 + 0.
2*y**3*(y - 18)/7
Let n(t) be the first derivative of t**3/3 - 19*t**2/2 - 118*t - 156. Let z be n(-5). Factor 20/3*w + 8/3 + 16/3*w**z + 4/3*w**3.
4*(w + 1)**2*(w + 2)/3
Let c(d) be the third derivative of d**6/480 - 91*d**5/240 + 89*d**4/48 + 66*d**2 + 6. Factor c(z).
z*(z - 89)*(z - 2)/4
Let f be (1/(-4) + 57/76)*4. Let -8*b - 210*b**f + 107*b**2 + 6 + 105*b**2 = 0. Calculate b.
1, 3
Let g be 2*32/576 + 71/(-18) + 4. Factor -1/6*r - 1/6*r**2 + 1/6*r**3 + g.
(r - 1)**2*(r + 1)/6
Factor -223921*i**5 + 111963*i**5 + 111962*i**5 + 71*i + 72*i**3 + 29*i**4 + 9*i**3 + 109*i**2 + 18.
(i + 1)**3*(i + 2)*(4*i + 9)
Let k be 2772/(-1485)*3/(-2). Let g = 136/45 - k. Determine u, given that 2*u**2 - 50/9 + 10/3*u + g*u**3 = 0.
-5, 1
Suppose 1 + 5 = v. Let w(j) = -2*j**3 + 13*j**2 - 7*j + 9. Let d be w(v). Solve -227*a**2 + 224*a**2 + 3*a**3 - 3 + d = 0.
0, 1
Let k be ((-2324)/(-17430))/(2/9). Solve 54/5*c**3 + k*c**5 + 3*c + 0 + 24/5*c**4 + 48/5*c**2 = 0 for c.
-5, -1, 0
Let m(z) = -z**4 + z**3 + z**2 - z. Let q(p) = 3*p**4 - 16*p**3 - 40*p**2 + 4*p. Let w = -463 + 468. Let v(b) = w*q(b) + 20*m(b). Factor v(t).
-5*t**2*(t + 6)**2
Let n = 22401/4270 - 63/610. Solve 6/7*f - 36/7*f**2 - 6/7*f**3 + n = 0 for f.
-6, -1, 1
Suppose 33 = 6*d + 123. Let m be (16/(-120)*d)/(1*4). Suppose -1/6*k**2 + 0 - m*k = 0. Calculate k.
-3, 0
Determine w so that -3/2*w**2 + 186 + 369/2*w = 0.
-1, 124
Let x(z) = -19*z**3 + 469*z**2 - 52440*z + 51984. Let r(y) = -3*y**3 + 2*y**2. Let h(q) = 6*r(q) - x(q). Determine g so that h(g) = 0.
1, 228
Let i(z) be the second derivative of -9*z + 1/4*z**2 - 1/24*z**4 - 1 + 1/80*z**5 - 1/24*z**3. Factor i(n).
(n - 2)*(n - 1)*(n + 1)/4
Let b = 2645 + -2645. Let u(v) be the third derivative of b + 0*v**4 + 0*v - 9/8*v**3 - 40*v**2 + 1/80*v**5. Solve u(a) = 0.
-3, 3
Let h(z) = -21 + z**2 - 39*z**3 + 22 + 40*z**3. Let l(d) = 3*d**4 + d**3 - 5*d**2 - 5. Let u = -7 - -12. Let y(t) = u*h(t) + l(t). Solve y(f) = 0 for f.
-2, 0
Let u be ((-1)/3)/(20/10932). Let m = -3599/20 - u. Factor -m*a + 0 - 3/4*a**3 + 3*a**2.
-3*a*(a - 3)*(a - 1)/4
Let r be (-306)/(-18) + (-2 - 12/(-3)). Suppose 11*k + 2*l - 16 = 6*k, 0 = -5*k - 3*l + r. What is v in 5/4*v + 1/4*v**k + 1 = 0?
-4, -1
Suppose 0 = -2*l - 3*t + 19, 4*l = -3*t + 7 + 16. Let x(j) be the second derivative of -3/2*j**3 + 1/20*j**5 - 1/8*j**4 - 2*j**l + 4*j + 0. Factor x(u).
(u - 4)*(u + 2)*(2*u + 1)/2
Suppose 2*l + 3*j + 4477 = 4442, -l - 2*j = 24. Find b, given that 37/6*b**3 + 0*b + 0 - 7/3*b**l - 5/6*b**4 = 0.
0, 2/5, 7
Let y = 106492 - 957371/9. Let b = -117 + y. Suppose 14/9*t - 10/9*t**2 - b = 0. What is t?
2/5, 1
Let k(a) = -3*a**2 + 33*a - 88. Let b be k(6). Let s(f) be the first derivative of 7*f**3 - 15/2*f**b - 6*f + 26. Suppose s(m) = 0. What is m?
-2/7, 1
Let w = -119 + 124. Let -1729*u**3 - 3*u + 1728*u**3 - 11 + w*u**2 + 2 = 0. What is u?
-1, 3
Let h = 21930 + -21927. Factor 99/8*n**h + 1/8*n**5 + 81/8*n**2 + 19/8*n**4 + 0*n + 0.
n**2*(n + 1)*(n + 9)**2/8
Suppose -12 - 12 = -6*i. Suppose -4*j - n = -10, 5 + 3 = i*n. What is w in -65*w**2 - 22 + 8*w**5 + 96*w - 24*w**3 + 30*w**4 - 27*w**j + 4 = 0?
-3, 1/4, 1
Let k = 1 - -84. Let -110 + 99 + 75*x**2 - 25*x**2 - 5*x**3 + 51 - k*x = 0. What is x?
1, 8
Let i(t) = -11*t**3 + 279*t**2 + 626*t + 306. Let s(b) = -150*b**3 + 3905*b**2 + 8765*b + 4285. Let h(x) = 85*i(x) - 6*s(x). Determine y, given that h(y) = 0.
-1, -6/7, 10
Let w(i) = 18*i**2 - 81*i + 36. Let b be w(4). Let c(a) be the third derivative of 12*a**2 + b*a**3 + 0*a + 0 + 1/120*a**6 - 1/20*a**5 + 0*a**4. Factor c(p).
p**2*(p - 3)
Let h(m) be the first derivative of -m**4/22 - 4*m**3/11 + m**2/11 + 12*m/11 - 1249. Let h(u) = 0. Calculate u.
-6, -1, 1
Let d(v) be the first derivative of -184/21*v**3 + 203 + 0*v - 1/14*v**4 - 2116/7*v**2. Factor d(u).
-2*u*(u + 46)**2/7
Let j(g) = -g**2 - 196*g - 380. Let h(d) = 3*d**2 + 786*d + 1524. Let l(u) = -2*h(u) - 9*j(u). Suppose l(q) = 0. What is q?
-62, -2
Let a(v) = 5*v**3 - 163*v**2 + 38*v + 54. Let t(x) = x**3 - 27*x**2 + x - 1. Let m(j) = -a(j) + 6*t(j). Factor m(q).
(q - 6)*(q + 2)*(q + 5)
Suppose 23 = 4*w + 3*q, 5*w = 52*q - 47*q - 15. Solve 51*r**w - 22*r**3 - 12*r**3 - 81*r**2 - 5*r + 9*r**3 = 0.
-1, -1/5, 0
Let m(d) be the second derivative of -d**7/420 + d**6/180 + d**5/30 + d**3/3 - 22*d**2 - 41*d. Let v(t) be the second derivative of m(t). Factor v(a).
-2*a*(a - 2)*(a + 1)
Let c = 976296/5 - 194450. Let s = 814 - c. Factor s*n**2 + 24/5 - 44/5*n - 4/5*n**3.
-4*(n - 3)*(n - 2)*(n - 1)/5
Solve 110*j**2 + 90*j**3 + 3*j**4 + 22*j**2 + 412*j**2 - 9*j**2 + 113*j**2 = 0 for j.
-18, -12, 0
Let i = 673 + -670. Find p, given that -16 + 15*p**i - 10 + 125*p - 35*p**2 - 40*p**2 - p**4 + 26 = 0.
0, 5
Let q(v) be the second derivative of -v**6/30 - 3*v**5/10 + 11*v**3/3 - 15*v**2/2 - 21*v + 1. Factor q(h).
-(h - 1)**2*(h + 3)*(h + 5)
Let t(r) be the first derivative of 6 + 10/3*r - 7/6*r**2 + 1/9*r**3. Find p such that t(p) = 0.
2, 5
What is p in -2148*p**3 + 102*p**2 - 60*p + 26*p**2 + 4*p**4 + 2080*p**3 - 4*p**2 = 0?
0, 1, 15
Let a be 266 + 0 - ((-6 - -11) + 2). Suppose -211 = 8*y - a. Suppose -12*m - 3/2*m**3 - y - 15/2*m**2 = 0. What is m?
-2, -1
Let f = 3600 + -3595. Let z(y) be the first derivative of -5/2*y**4 + 0*y**2 - 2*y**3 + 1/3*y**6 + 0*y - 2/5*y**5 + f. Factor z(x).
2*x**2*(x - 3)*(x + 1)**2
Let o = -15412 - -554833/36. Let d(b) be the second derivative of 0*b**2 - o*b**4 - b + 0 - 1/3*b**3. Factor d(j).
-j*(j + 6)/3
Let b = 401262 + -2004262/5. Suppose -2/15*m**3 - 64/5*m**2 - b*m - 65536/15 = 0. Calculate m.
-32
Let m(h) = 3*h**2 + 86*h - 24. Let l be m(-44). Determine y, given that 60*y**2 + 62*y**2 + 63*y**2 + l - 180*y**2 + 200*y = 0.
-20
Let k(d) be the first derivative of -3*d**4 + 6*d**2 - 9*d + 2*d**3 + 3/5*d**5 + 53. Let k(q) = 0. What is q?
-1, 1, 3
Let w = -626/21 + 225/7. Let b(h) be the second derivative of 1/6*h**4 - 23*h + 0 - w*h**3 + 12*h**2. Determine v, given that b(v) = 0.
3, 4
Let q = 833205 - 10831571/13. Factor -92/13*o + q - 2/13*o**2.
-2*(o - 1)*(o + 47)/13
Solve -95/4*t - 5325/4*t**2 - 70*t**3 + 0 = 0.
-19, -1/56, 0
Let w = 24 + -11. Let c be ((78/(-20))/w)/((-8)/10). Factor 3/8*k**2 + 0 - 3/8*k**3 + 3/8*k**5 + 0*k - c*k**4.
3*k**2*(k - 1)**2*(k + 1)/8
Let k = 55497/4174 + 426/2087. Factor -729/4 - 1/4*z**2 - k*z.
-(z + 27)**2/4
Let x(g) be the first derivative of -12/35*g**5 + 0*g**2 + 1/21*g**6 + 5/14*g**4 + 0*g + 0*g**3 + 113. Suppose x(k) = 0. Calculate k.
0, 1, 5
Let d(w) be the first derivative of 2*w**5/35 - w**4 + 50*w**3/21 - 12*w**2/7 + 321. Factor d(u).
2*u*(u - 12)*(u - 1)**2/7
Let y(k) be the second derivative of 1/7*k**2 + 1/63*k**3 - 1/42*k**4 - 7*k - 1/210*k**5 - 9. Determine m so that y(m) = 0.
-3, -1, 1
Suppose 2/13*l**3 - 600/13*l**2 - 2424/13*l - 2432/13 = 0. What is l?
-2, 304
Let q be (6/14)/(11/77). Factor 31*u**q + 12*u + 14*u**4 + 2*u**3 - u**5 + 34*u**2 + u**3 + 3*u**5.
2*u*(u + 1)**2*(u + 2)*(u + 3)
Determine k so that 19/2 - 19/2*k**2 + 1/2*k**3 - 1/2*k = 0.
-1, 1, 19
Let k(h) be the third derivative of -h**5/60 + 5*h**4 + 121*h**3/6 - 215*h**2. Solve k(x) = 0 for x.
-1, 121
Let w(i) be the first derivative of -i**3/2 - 63*i**2/4 - 156*i + 1649. Factor w(j).
-3*(j + 8)*(j + 13)/2
Let q be -13 + (-3 - (-6132)/63) - 16. Factor 4802/3 + 2/3*k**2 + q*k.
2*(k + 49)**2/3
Let j(i) be the first derivative of -537*i**3/7 + 4839*i**2/14 - 18*i/7 + 9555. Suppose j(f) = 0. Calculate f.
2/537, 3
Suppose 3*o - 90 = i + 2*o, 8 = 4*o. Let w = i - -91. Solve 3*m**3 - 2*m**w - m**4 + 2 - 5*m + 6*m**2 - 3*m**2 = 0 for m.
-2, 1
Let l(x) = -x**2 - x + 2. Let p = -655 - -656. Let u(g) = 68*g + 136. Let c(b) = p*u(b) + 4*l(b). Factor c(t).
-4*(t - 18)*(t + 2)
Let l(q) be the first derivati