8/z - ((-466)/42 + 11). Suppose 2/17*q - 2/17*q**2 + a*q**4 + 0 - 2/17*q**3 = 0. What is q?
-1, 0, 1
Suppose -m = 9*y - 4*y - 135, 107 = 4*y + m. Determine i so that 69*i**2 + 354 - 390 + y*i + 32*i + 15*i**3 = 0.
-3, -2, 2/5
Let r(f) be the second derivative of -f**4/14 - 152*f**3/21 + 223*f. Factor r(u).
-2*u*(3*u + 152)/7
Let t = -77087 - -77090. Let 4*w**2 - 4/3*w - 8/9*w**t - 16/9 = 0. What is w?
-1/2, 1, 4
Let n(k) be the second derivative of -5*k**4/72 - 8275*k**3/9 - 13695125*k**2/3 + k - 3303. Suppose n(l) = 0. What is l?
-3310
Let b(u) = u**4 + 1. Suppose 17 = -m + 16. Let z(l) = 30*l**4 - 35*l**3 + 90*l**2 - 100*l + 65. Let r(q) = m*z(q) + 25*b(q). Suppose r(x) = 0. What is x?
1, 2
Let n(o) be the second derivative of 0 - 71/54*o**4 - 4/9*o**2 - 65*o + 23/90*o**5 + 52/27*o**3. Factor n(s).
2*(s - 2)*(s - 1)*(23*s - 2)/9
Let i(l) be the first derivative of 5*l**4/4 + 305*l**3/3 - 650*l**2 - 2289. Let i(h) = 0. What is h?
-65, 0, 4
Let z(j) be the second derivative of -j**7/168 + 3*j**6/40 - 27*j**5/80 + 31*j**4/48 - j**3/2 + 1169*j. Let z(y) = 0. What is y?
0, 1, 3, 4
Let x(n) be the first derivative of -5*n**6/2 - 316*n**5 - 23955*n**4/2 - 28080*n**3 + 10654605*n**2/2 + 3559140*n + 2219. Determine a so that x(a) = 0.
-39, -1/3, 12
Let n(j) be the third derivative of -j**5/360 - 41*j**4/48 - 1068*j**2 - 2*j. Factor n(h).
-h*(h + 123)/6
Let t(x) = 10*x**2 + 2*x + 4. Let n = -8 + 12. Let v(a) = a**2 - n*a - 3*a + 7*a. Let b(q) = -t(q) + 12*v(q). Solve b(k) = 0 for k.
-1, 2
Factor 5336*h**3 + 704*h**2 - 5874*h**2 - 2676*h**3 - 2665*h**3 - 1336445*h.
-5*h*(h + 517)**2
Let r = -1341 + 1345. Let u(j) be the third derivative of 0*j - j**3 + 0 + 3/8*j**r + 16*j**2 - 1/20*j**5. Factor u(c).
-3*(c - 2)*(c - 1)
Let q(u) be the third derivative of -1/24*u**4 - 1/5*u**3 - 27*u**2 + 0 + 1/150*u**5 - 2*u + 1/600*u**6. Factor q(s).
(s - 2)*(s + 1)*(s + 3)/5
Let u be (10/(-12))/(1/(-2)). Let q = 56171 - 56167. Determine x, given that 0 - 5/3*x**q + 0*x - 5*x**2 + u*x**5 - 25/3*x**3 = 0.
-1, 0, 3
Let k be 6 + -4 - ((-18)/(-6) - 47). Let 1 - 7 + k*x - 13 - 2 - 6*x**2 - 7 = 0. What is x?
2/3, 7
Suppose 105*a - 4114 = -3799. Suppose -16 - 17/4*f**2 + 20*f + 1/4*f**a = 0. Calculate f.
1, 8
Find j such that -136/5*j**2 + 2/5*j**5 - 6/5*j + 36 - 44/5*j**3 + 4/5*j**4 = 0.
-3, -2, 1, 5
Let h(z) be the second derivative of z**7/70 + 48*z**6/25 + 1728*z**5/25 - 66*z + 2. Factor h(o).
3*o**3*(o + 48)**2/5
Let f be 12/14*(-8)/(-6). Let p be 3/((-525)/((-490)/14)) + (-18)/(-10). Suppose 24/7*y - 2*y**p + f = 0. What is y?
-2/7, 2
Suppose 0 = -44*x - 231*x. Let n(a) be the third derivative of x*a + 1/72*a**4 + 0 + 25*a**2 + 1/36*a**3 + 1/360*a**5. Factor n(m).
(m + 1)**2/6
Let t(w) be the first derivative of w**6/2 - 102*w**5/5 + 513*w**4/2 - 792*w**3 - 3645*w**2/2 + 12150*w + 1588. Find h, given that t(h) = 0.
-2, 3, 15
Let g = 358 + -344. Let b be ((-1)/2)/(4/(-16)). Find v, given that -30*v**2 + 22*v**2 + 4*v + g*v**b + 2*v**3 = 0.
-2, -1, 0
Let s(d) be the third derivative of d**5/20 - 505*d**4/2 + 510050*d**3 - 10*d**2 - 34*d. Let s(p) = 0. What is p?
1010
Let w(q) be the first derivative of -q**4/22 - 466*q**3/11 - 162867*q**2/11 - 25298674*q/11 + 6820. Factor w(i).
-2*(i + 233)**3/11
Let n = -5504167/11 + 500379. Factor 2/11*k**2 - n*k - 24/11.
2*(k - 4)*(k + 3)/11
Let g be -25 - (53 + (-5640)/72). Solve 8/3 + 6*p**2 + 20/3*p + g*p**4 + 7/3*p**3 = 0 for p.
-2, -1
Let q(o) = 4*o**2 + 2*o + 8. Let m(v) = -2*v**2 - 2*v - 4. Let a(z) = -5*m(z) - 2*q(z). Let s(c) = 4*c**2 + 12*c + 8. Let u(f) = 7*a(f) - 3*s(f). Factor u(h).
2*(h + 1)*(h + 2)
Let h = 5872 - 5867. Let n(t) be the second derivative of 5*t**3 + 0*t**2 + 11/2*t**h + 115/12*t**4 + 15*t + 0 + 5/6*t**6. Factor n(a).
5*a*(a + 1)*(a + 3)*(5*a + 2)
Let z be (-124)/12 + (-1952)/(-183). Let w = 122/3 - 40. Solve 1/3*c**2 + z*c**4 + c**3 - c - w = 0.
-2, -1, 1
Let s(d) be the third derivative of -d**5/100 - d**4/40 + 6*d**3/5 + 2351*d**2. Determine m so that s(m) = 0.
-4, 3
Let s(a) be the first derivative of 11/12*a**3 + 4/3*a + 5/3*a**2 + 1/60*a**5 + 54 + 5/24*a**4. Factor s(b).
(b + 1)**2*(b + 4)**2/12
Solve -878*y**2 + 430*y**2 + 445*y**2 + 330 - 51*y = 0 for y.
-22, 5
Let f = 437 + -404. Let g(d) be the third derivative of 1/35*d**7 + 33/160*d**5 + 0 + 1/4*d**3 + 7/40*d**6 + f*d**2 - 7/16*d**4 + 0*d. Factor g(z).
3*(z + 2)**2*(4*z - 1)**2/8
Let k = -172573/85 + 34518/17. Suppose -k*r**3 + 0 - 2/5*r**2 + 8/5*r = 0. Calculate r.
-4, 0, 2
Let u(r) = -11*r**4 - 34*r**3 - 247*r**2 - 503*r + 6. Let w(n) = 36*n**4 + 100*n**3 + 740*n**2 + 1510*n - 20. Let q(o) = 20*u(o) + 6*w(o). Factor q(b).
-4*b*(b + 5)**2*(b + 10)
Let t(q) = -q - 114. Let x(s) = s - 3. Let r(b) = t(b) - 6*x(b). Let y be r(-14). Factor 1/2*h**y + 0 + 1/2*h**4 + 0*h - h**3.
h**2*(h - 1)**2/2
Let u(a) be the third derivative of a**5/210 - 5*a**4/6 + 2977*a**2. Find j, given that u(j) = 0.
0, 70
Let f be (32 - 15)/51 - ((-161)/21 + 6). Solve 0*s**f + 2/7*s - 2/7*s**3 + 0 = 0.
-1, 0, 1
Let r(l) = -l**2 + 25*l. Let v(a) = 9*a**2 - 227*a + 240. Let q(u) = 14*r(u) + 2*v(u). Factor q(w).
4*(w - 20)*(w - 6)
Factor 2/11*n**3 + 468/11*n - 106/11*n**2 + 576/11.
2*(n - 48)*(n - 6)*(n + 1)/11
Suppose -147 = -18*f + 69. Let z be f/(-20) - (-218)/130. Factor 8/13*g - z*g**3 + 0 + 24/13*g**2.
-2*g*(g - 2)*(7*g + 2)/13
Find u, given that 2816/7*u**2 + 2/7*u**3 + 988410/7*u - 1988100/7 = 0.
-705, 2
Solve 285/4*r**2 + 81/4*r**3 - 9/4*r**4 - 3/4*r**5 - 270 - 117/2*r = 0.
-4, -3, 2, 5
Let f(h) be the second derivative of h**4/6 + 5*h**3/6 - 5*h**2/2 + 5*h + 3. Let t be f(1). Factor 0 - 4*q + 4/5*q**t.
4*q*(q - 5)/5
Let b(z) be the first derivative of 3*z**5/5 - 81*z**4/4 + 1055. Factor b(n).
3*n**3*(n - 27)
Let a(d) be the third derivative of -d**6/180 + d**5/30 + d**4/6 - 8*d**3/9 + 418*d**2. Find p such that a(p) = 0.
-2, 1, 4
Factor 20*w - 20*w**2 + 998 + 4*w + 4*w**3 - 998.
4*w*(w - 3)*(w - 2)
Let q = 4269 + -4267. Find t such that -4/9 - 2/9*t**q - 2/3*t = 0.
-2, -1
Let m(b) be the first derivative of 12*b**3 + 1088*b**2 + 960*b + 1116. What is z in m(z) = 0?
-60, -4/9
Solve 0 - 32/3*b**3 - 4/3*b**4 + 6776/3*b + 748/3*b**2 = 0.
-11, 0, 14
Let w(m) be the second derivative of 0 - 1/28*m**4 - 2/7*m**3 + 26*m - 9/14*m**2. Solve w(x) = 0.
-3, -1
Let g be 6/(-135) - 6/30*(-308)/231. Factor 38/9*w**3 + g*w**4 - 14*w**2 + 130/9*w - 44/9.
2*(w - 1)**3*(w + 22)/9
What is n in -2/11*n**5 - 8/11*n**4 + 232/11*n - 80/11 + 94/11*n**3 - 236/11*n**2 = 0?
-10, 1, 2
Factor -147/8*w**2 + 0 + 0*w + 3/8*w**3.
3*w**2*(w - 49)/8
Let p(a) = -5*a**2 - 324*a - 5122. Let x(o) = 326*o + 1686 - 513 + 5*o**2 + 4238 - 288. Let c(g) = 3*p(g) + 2*x(g). Factor c(d).
-5*(d + 32)**2
Suppose -1344*c - 4 + 12 = -1340*c. Let u be 1*(19/3 - -2). Determine q, given that 20*q - 5*q**c - 20/3 - u*q**3 = 0.
-2, 2/5, 1
Let w(h) be the third derivative of h**8/1176 - h**7/147 + h**6/84 + h**5/42 - h**4/14 + 6575*h**2. Find n such that w(n) = 0.
-1, 0, 1, 2, 3
Let h(l) be the second derivative of l**3 + 38/7*l**2 + 30 - 2*l + 1/42*l**4. Factor h(a).
2*(a + 2)*(a + 19)/7
Suppose 2*i - 5*p + 3*p = 3*i, 11*i = -8*i + 2*p. Let -4*u**3 + i - 2/3*u**4 + 0*u - 10/3*u**2 = 0. What is u?
-5, -1, 0
Suppose 4*o - y = 148, 3*y = o - 24 - 13. Let s(h) = -h**3 + 34*h**2 + 112*h - 35. Let c be s(o). Factor 6/7*a - 4/7 + c*a**3 + 24/7*a**2.
2*(a + 1)**2*(7*a - 2)/7
Let w = -29 + 34. Find j, given that 108*j**4 + 696*j + 374*j**2 + 343*j**3 - 6*j**w - 600*j - 32 + 17*j**5 = 0.
-4, -1, 2/11
Factor -12/7*y**2 - 36/7*y + 108/7 + 4/7*y**3.
4*(y - 3)**2*(y + 3)/7
Let q = -141 + 64. Let r = -70 - q. Suppose 2*g**3 - 2*g - 20 + r + 13 = 0. Calculate g.
-1, 0, 1
Let r be ((-7)/6)/((-35)/210) - 5. Let s = 8/39 - -6/13. Let 4/3*q - s*q**r + 0 = 0. Calculate q.
0, 2
Suppose 26*k - 54 = 5*k - 6*k. Let c(u) be the second derivative of 0*u**4 + 0*u**3 + 0 - 9*u - 2/45*u**6 + 0*u**k + 1/15*u**5. Factor c(b).
-4*b**3*(b - 1)/3
Let o(y) be the third derivative of 0*y**4 + 1/60*y**6 + y**2 - 1/126*y**7 + 0*y**5 - 1/1008*y**8 + 0*y + 53 + 0*y**3. Factor o(k).
-k**3*(k - 1)*(k + 6)/3
Let x(q) = -2*q**3 + 2*q**2 + 4*q. Let y(u) = -4*u**3 + 3*u**2 + 7*u. Let g = 193 - 203. Let w(l) = g*x(l) + 4*y(l). Factor w(p).
4*p*(p - 3)*(p + 1)
Let q(