2*t**2 - 7*t + 52. Let i(v) = 3*v**2 + v - 1. Let u(b) = 22*i(b) - 2*j(b). Determine x so that u(x) = 0.
-21, 3
Let m = 147 + -144. Factor 74*g**3 + g**2 + 6*g + 0*g**2 - 75*g**m.
-g*(g - 3)*(g + 2)
Let m(r) be the third derivative of 6*r + 3/7*r**3 + 0 - 2*r**2 + 1/420*r**6 + 5/28*r**4 + 1/30*r**5. Find t such that m(t) = 0.
-3, -1
Let y(v) = -2*v**2 - 9*v - 7. Let r(c) = -11*c + 7. Let o(m) = 2*m - 1. Let q(w) = 6*o(w) + r(w). Let i(s) = -6*q(s) - 2*y(s). Suppose i(j) = 0. What is j?
-2, -1
Suppose -296*q**2 + 0 - 2/7*q**3 - 76664*q = 0. What is q?
-518, 0
Let g be ((-16)/28)/((-4)/14). Suppose 5 = -w + 4*b - 4, 3*w + g*b - 15 = 0. Solve -18 - 3*z**2 + z**2 + 4*z**2 + z**2 - w*z = 0.
-2, 3
Let j be (130/78)/(15/36). Let -13/6*h**3 + 3*h + 0 + 7/6*h**j - 1/2*h**2 - 1/6*h**5 = 0. What is h?
-1, 0, 2, 3
Let w be (45/(-27))/(5/(-45)). Let d be (-18*w/(-1710))/((-6)/(-8)). Find t, given that 0 + 2/19*t**5 + 0*t - 8/19*t**4 + 10/19*t**3 - d*t**2 = 0.
0, 1, 2
Suppose -2121*q + 2120*q - 1 = -3*p, -4*p = 3*q + 3. Factor 0*t - 16/7*t**4 + 4/7*t**5 - 8/7*t**2 + 20/7*t**3 + p.
4*t**2*(t - 2)*(t - 1)**2/7
Let p be (12/(-3) - -2)*5*27/(-1350). Find a, given that -p*a**2 - 7/5*a - 6/5 = 0.
-6, -1
Let j = -2 + 5. Suppose 2*h - 10*q = -8*q + 16, -3*h = -q - 16. Determine o, given that -4*o**5 + h*o**j - 3 + 3 + 0 = 0.
-1, 0, 1
Suppose -2*p = 3*x + 4, -8*p + 6*p + x = -12. Suppose 115*v**3 + 169*v + 131*v + 97*v**3 + 22 - 4 + 464*v**2 + 49*v**p - 19*v**4 = 0. Calculate v.
-3, -1, -1/15
Let s(k) = -k**3 - 418*k**2 + 1261*k + 6. Let l be s(3). Solve l - 9/4*y**2 - 1/4*y**3 + 11/2*y = 0 for y.
-11, 0, 2
Let q(n) = -n**3 - 19*n**2 + 37*n - 103. Let g be q(-21). Suppose 4 = 4*l - 2*t, g*l - 10*t - 10 = -13*t. Suppose 9/5 + 3/5*u**l + 12/5*u = 0. What is u?
-3, -1
Let -530*r + 48*r**2 + 2/3*r**3 + 4100/3 = 0. What is r?
-82, 5
Solve 0 + 0*s**2 - 58/5*s**3 + 2/5*s**5 + 0*s - 56/5*s**4 = 0 for s.
-1, 0, 29
Let r(a) be the second derivative of -a**7/49 - 47*a**6/105 - 4*a**5/35 + 964*a**4/21 + 2960*a**3/21 - 1200*a**2/7 + 4996*a - 1. Suppose r(c) = 0. What is c?
-10, -2, 1/3, 6
Factor -1/12*x**3 + 65/12*x**2 + 0*x + 0.
-x**2*(x - 65)/12
Let i be 70/24 + 24/288. Let c be (63/(-420))/(i/(-2)). Factor 0*s + c - 1/10*s**2.
-(s - 1)*(s + 1)/10
Let s(g) be the second derivative of -g**9/3780 + g**7/210 + g**6/90 - 5*g**4/6 + g**3/2 - 116*g. Let q(u) be the third derivative of s(u). Factor q(n).
-4*n*(n - 2)*(n + 1)**2
Let s(v) be the second derivative of -2*v**7/189 + 43*v**6/135 - 97*v**5/30 + 23*v**4/2 - 9*v**3 + 378*v. Solve s(g) = 0 for g.
0, 1/2, 3, 9
Let t(v) be the second derivative of -v**4/84 - 121*v**3/7 - 131769*v**2/14 - 1269*v. Factor t(h).
-(h + 363)**2/7
Let s = -282820 - -282823. Solve 12/5*f**5 + 3/5 - 9*f**4 + 0*f + 12*f**s - 6*f**2 = 0 for f.
-1/4, 1
Find t, given that -739/6*t**2 - 2/3 - 740/3*t = 0.
-2, -2/739
Let k(o) = -23*o**2 - 39*o - 162. Let i be k(-7). Let c = 1019 + i. Solve -4/17 - 2/17*s + 4/17*s**2 + 2/17*s**c = 0 for s.
-2, -1, 1
Suppose 2*h - 14 + 8 = -2*s, h + 4*s + 12 = 0. Solve 28*v + 233*v**4 - 3*v**3 - 238*v**4 - 2*v**3 - h*v + 20*v**2 = 0 for v.
-2, -1, 0, 2
Let f = 86287 - 261025/3. Let i = 724 + f. Find x such that 8/3*x**2 + 4/9*x**3 + 44/9*x + i = 0.
-3, -2, -1
What is v in -28*v**3 + 552*v - 6455*v**2 + 3*v**4 - 119*v**3 + 6857*v**2 = 0?
-1, 0, 4, 46
Let p(h) be the second derivative of -8/105*h**6 - 17/21*h**3 - 124*h + 0 - 4/7*h**2 - 1/147*h**7 - 2/3*h**4 - 11/35*h**5. What is x in p(x) = 0?
-4, -1
Let a be 72/3 - 968/44. Factor 18 + 69*p + 43/2*p**a + 7/4*p**3.
(p + 6)**2*(7*p + 2)/4
Let g(v) be the first derivative of 3*v**5 + 40*v**4 + 355*v**3/3 - 125*v**2 - 280*v - 9803. Let g(p) = 0. Calculate p.
-7, -4, -2/3, 1
Let l(y) be the third derivative of y**11/110880 - y**10/25200 + 53*y**5/60 + 48*y**2. Let o(m) be the third derivative of l(m). What is g in o(g) = 0?
0, 2
Let t(r) = -2*r**4 - r**3 + 9*r**2 + r - 1. Let z(i) = -45*i**4 + 150*i**3 - 240*i**2 - 1350*i - 795. Let q(x) = 20*t(x) - z(x). What is h in q(h) = 0?
-1, 5, 31
What is u in -1659/4*u**3 - 828*u**2 + 3*u + 0 = 0?
-2, 0, 2/553
Let c(r) be the first derivative of 3*r**5 + 130*r**4 - 190*r**3/3 - 260*r**2 + 175*r + 1105. Find d such that c(d) = 0.
-35, -1, 1/3, 1
Let m be ((-9590)/(-31647))/(15/33). Find x, given that -2/3 - m*x - 1/6*x**2 = 0.
-2
Let o be (-6 + (-1 - -7))/(1*-1). Suppose -g + 5*x - 8 = o, 5*g = x - 4*x + 44. Suppose 74 - 2*f + 7*f**2 - 7*f - 62 - g*f - f**3 = 0. What is f?
2, 3
Let k(i) be the first derivative of -i**6/6 + 3*i**5/4 + 35*i**4/12 - 25*i**3/2 - 45*i**2 + 81*i - 116. Let s(q) be the first derivative of k(q). Factor s(l).
-5*(l - 3)**2*(l + 1)*(l + 2)
Let q = 805/816 + -223/272. Let f(c) = -c**3 - 3*c**2 + 4*c + 4. Let z be f(-4). Solve 1/6*v**z - q*v**3 + 1/6*v + 0 - 1/6*v**2 = 0.
-1, 0, 1
Let f(t) = -5*t + 265. Let m be f(45). Factor -m*h**2 - 14*h + 8*h**2 + 12 + 16*h**2 + 18*h**2.
2*(h - 6)*(h - 1)
Let 1/10*u**3 + 219/10*u - 111/10*u**2 - 109/10 = 0. Calculate u.
1, 109
Let p(b) be the third derivative of b**7/630 + 29*b**6/72 + 287*b**5/180 + 143*b**4/72 + 451*b**2 - 2. Factor p(x).
x*(x + 1)**2*(x + 143)/3
Let z(s) be the first derivative of 275*s**4/4 - 1160*s**3/3 + 1065*s**2/2 - 180*s + 2307. Factor z(o).
5*(o - 3)*(o - 1)*(55*o - 12)
Let b(t) be the third derivative of t**6/60 - 29*t**5/30 - 11*t**4 - t**2 + 254. Let b(k) = 0. What is k?
-4, 0, 33
Factor -464/15*v - 2/15*v**2 + 466/15.
-2*(v - 1)*(v + 233)/15
Let w be (0 - 1) + 1 + 56. Solve 3*n - 17*n - 18*n - 4*n**2 - 3*n - w - n = 0 for n.
-7, -2
Let k be (7/3 - -1) + 26/39. Factor -5*h**4 + 24*h**3 + 5*h**5 + 20*h**k + 12*h**2 - 2*h**5 + 0*h**5.
3*h**2*(h + 1)*(h + 2)**2
Let f(j) be the third derivative of -j**7/42 + 11*j**6/24 - 5*j**5/6 - 15*j**4 - 2888*j**2. Factor f(l).
-5*l*(l - 9)*(l - 4)*(l + 2)
Let w = 11594 + -11591. Suppose 0 = 2*h + 5*c + 4, -2*h - 1 = 4*c + 1. Suppose -23*i**3 + 60*i - 26*i**h - 36 + 53*i**w - 28*i**2 = 0. Calculate i.
1, 3
Let r = 68 - -235. Let k = -300 + r. Factor 4/3*f**4 - 4/3*f - 4*f**k + 4*f**2 + 0.
4*f*(f - 1)**3/3
Let r(s) be the third derivative of -1/15*s**5 + 3/2*s**4 + s**2 - 14 + 0*s + 20/3*s**3. Solve r(a) = 0 for a.
-1, 10
Let m = -292 - -451. Solve x**2 + 109*x - 7*x**2 + 195 - m - 3*x = 0 for x.
-1/3, 18
What is d in 16700*d**2 + 480*d**3 + 12576*d**2 + 388*d**4 - 386*d**4 + 28322 + 57120*d = 0?
-119, -1
Let l(d) be the second derivative of 7*d + 5/2*d**2 - 2/15*d**3 + 1/75*d**5 + 0 + 3/20*d**4 - 3/100*d**6. Let b(m) be the first derivative of l(m). Factor b(p).
-2*(p - 1)*(p + 1)*(9*p - 2)/5
Let q(f) be the third derivative of 7/60*f**6 + 0*f**4 + 0 + 63*f**2 + 0*f**3 + 2*f + 4/15*f**5 - 1/105*f**7. Let q(d) = 0. What is d?
-1, 0, 8
Let p(j) be the first derivative of -3/5*j**5 + 0*j**2 + 0*j + 0*j**3 + 30 + 9/2*j**4. Solve p(b) = 0 for b.
0, 6
Suppose 249 = -2*q + 2*y + 735, -978 = -4*q + 2*y. Let w = q - 244. Factor -5/3*m + 4/3*m**4 + 5/3*m**3 - 1/3 - m**w.
(m - 1)*(m + 1)**2*(4*m + 1)/3
Suppose -h = 51*a - 47*a - 139, 3*a = -2*h + 103. Let k be (30/(-9))/1*(-7)/a. Factor k*b**2 + 1/3 - b.
(b - 1)*(2*b - 1)/3
Let j(o) be the second derivative of o**4/16 + 459*o**3/4 + 632043*o**2/8 - 230*o. What is g in j(g) = 0?
-459
Let a(j) be the second derivative of j**4/36 - 302*j**3/9 + 45602*j**2/3 - 240*j - 1. Factor a(x).
(x - 302)**2/3
Let o(z) be the first derivative of 8*z - 32 - 7/2*z**2 - 1/3*z**3. Let o(a) = 0. Calculate a.
-8, 1
Factor -269715*z + 34784478 + 1077849*z + 2202*z**2 + 20484761 + 2*z**3 + 43592487.
2*(z + 367)**3
Let d = 8814/175 + -1202/25. Factor 2/7*b**2 + 18/7*b + d.
2*(b + 1)*(b + 8)/7
Let p(r) be the second derivative of r**6/720 + r**5/40 + r**4/6 - r**3/6 + 41*r**2/2 + 11*r + 1. Let f(a) be the second derivative of p(a). Factor f(x).
(x + 2)*(x + 4)/2
Let v(c) = -c**2 - 4*c + 24. Let w be v(-7). Let r be (w/(-3))/(4 + (-36)/8). Suppose -8*h**2 + 2*h**r + h**2 - 11*h - 4*h = 0. Calculate h.
-3, 0
Let b(v) = -49*v**3 + 33*v + 9*v**3 + 55 - 208*v + 160*v**2. Let f(g) = -5*g**3 + 20*g**2 - 22*g + 7. Let m(o) = -3*b(o) + 25*f(o). Solve m(t) = 0 for t.
1, 2
Factor 2032/5 + 408*l + 2/5*l**3 + 516/5*l**2.
2*(l + 2)**2*(l + 254)/5
Let b(a) be the second derivative of -3*a**5/32 - 127*a**4/32 + 339*a**3