k*s**5 + 28 + 1/2*s**4 - s**2 + 1/3*s**3 - 3/2*s. What is m in w(m) = 0?
-3, -1, 1
Let 4536*i**2 - 7520/3*i + 1408/3 - 8722/3*i**3 + 686/3*i**4 = 0. What is i?
4/7, 11
Suppose 2500/9 - 1712/9*g**3 + 3022/3*g**2 + 8*g**4 + 4450/3*g = 0. Calculate g.
-1, -2/9, 25/2
Let s = 95828/7 - 13688. Factor s*q + 2 - 2/7*q**2.
-2*(q - 7)*(q + 1)/7
Let j(q) be the first derivative of 2*q**3/3 - 188*q**2 + 1472*q + 2197. Find h such that j(h) = 0.
4, 184
Suppose 15*u - 3*u - 32 = -8. Let n(d) be the third derivative of 11/12*d**5 + 5*d**3 + 0*d + 32*d**u + 85/24*d**4 + 0. Factor n(v).
5*(v + 1)*(11*v + 6)
Let v be 37/(-5) + (-56)/(-140) + 167/15. Determine q, given that -4/5*q - v*q**2 - 2/3*q**4 + 14/15*q**5 - 74/15*q**3 + 0 = 0.
-1, -2/7, 0, 3
Let c(w) be the third derivative of w**6/360 + 7*w**5/18 + 451*w**4/24 + 242*w**3 - 828*w**2. Factor c(b).
(b + 4)*(b + 33)**2/3
Let b(g) be the first derivative of 3*g**4/20 - 9*g**3/5 - 111*g**2/10 + 99*g - 8174. Suppose b(u) = 0. What is u?
-5, 3, 11
Let p(x) be the first derivative of 2*x**3/9 + 235*x**2/3 - 1692. Determine h, given that p(h) = 0.
-235, 0
Find j such that -18*j - 14*j**2 - 17/6*j**3 + 0 - 1/6*j**4 = 0.
-9, -6, -2, 0
Let z = 215 - 124. Suppose -z*m - 24 = -103*m. Solve 3/5*b**3 - 54/5*b**m + 324/5*b - 648/5 = 0.
6
Let z(b) be the first derivative of b**4/8 - 7*b**3/6 + 15*b**2/4 - 9*b/2 - 144. Suppose z(p) = 0. What is p?
1, 3
Factor 160/7 + 162/7*m + 2/7*m**2.
2*(m + 1)*(m + 80)/7
Let o be 5150/(-3605)*28/(-30). Let k(w) be the first derivative of 1/6*w**4 - 2/3*w**3 - 2 + o*w + 2/15*w**5 - 1/3*w**2. Let k(a) = 0. What is a?
-2, -1, 1
Let g(w) be the third derivative of -w**8/1008 - 13*w**7/1260 - w**6/30 - w**5/60 + 7*w**3/6 - 132*w**2. Let z(v) be the third derivative of g(v). Factor z(u).
-4*(u + 2)*(5*u + 3)
Let c(o) be the third derivative of o**5/330 - 25*o**4/66 - 53*o**3/11 + 1508*o**2. Suppose c(f) = 0. Calculate f.
-3, 53
Let b be 332/66 + (62/(-93) - 4). Solve 2/11*c**2 + 2/11*c**3 + 0 - b*c = 0 for c.
-2, 0, 1
Let x(h) be the first derivative of -5/3*h**3 + 22*h - h**5 - h**2 - 1/21*h**7 - 5/3*h**4 - 1/3*h**6 - 6. Let z(v) be the first derivative of x(v). Factor z(a).
-2*(a + 1)**5
Suppose 1/6*m**3 - 23*m**2 - 2736 + 480*m = 0. What is m?
12, 114
Let r = 655105/7 + -93579. Factor -10/7 - 10/7*j**2 + r*j.
-2*(j - 5)*(5*j - 1)/7
Suppose 51/2*z + 0 - 71/4*z**2 + 1/2*z**3 = 0. Calculate z.
0, 3/2, 34
Solve -116/3 - 62/3*a - 2/3*a**2 = 0.
-29, -2
Suppose 3*w - 2*q + 340 = 0, -2*w + q = -95 + 321. Let r be 7 - 0 - (w - -114). Suppose 5/2*n**4 - 1/2*n**r - n**2 - 3/2 - 3*n**3 + 7/2*n = 0. What is n?
-1, 1, 3
Let y(q) = -5*q**2 - 75*q + 495. Let k be y(7). Let v be k/616 + ((-50)/(-14) - 3). Factor -v*t**2 + 1/4 + 1/8*t.
-(t - 2)*(t + 1)/8
Let -224/3*g - 88/15*g**2 - 2/15*g**3 - 640/3 = 0. Calculate g.
-20, -4
Let f(r) = -13*r + 69. Let b be f(5). Determine g so that -4*g**4 - 2*g - 16*g**3 - 20*g**2 - 11*g + g + b*g = 0.
-2, -1, 0
Let z(p) be the first derivative of p**6/9 + 8*p**5/3 - 34*p**4/3 + 52*p**3/9 + 67*p**2/3 - 92*p/3 + 1677. Suppose z(u) = 0. Calculate u.
-23, -1, 1, 2
Suppose -6*q + 27 = 20*q - 51. Let a(u) be the first derivative of -5*u**2 - 12*u + 2/3*u**q + 14. Let a(v) = 0. Calculate v.
-1, 6
Let d(a) be the first derivative of -2*a**5/5 + 142*a**4 + 190*a**3 + 2083. Let d(p) = 0. Calculate p.
-1, 0, 285
Let u = -391 - -385. Let l(c) = 5*c**4 + 40*c**2 - 50*c - 45. Let f(x) = x**4 + 10*x**2 - 12*x - 11. Let q(t) = u*l(t) + 25*f(t). Factor q(o).
-5*(o - 1)**2*(o + 1)**2
Let v(y) be the third derivative of y**5/75 + 71*y**4/30 + 92*y**3/5 + 1797*y**2. Find n, given that v(n) = 0.
-69, -2
Let i(j) be the third derivative of -11/9*j**3 + 0*j - 77*j**2 + 1/90*j**5 + 0 + 5/18*j**4. Determine c so that i(c) = 0.
-11, 1
Factor -2364/7*u - 21*u**3 + 600*u**2 + 48.
-3*(u - 28)*(7*u - 2)**2/7
Find n, given that 6*n**2 + 290*n**3 + 286*n**3 - 44*n + 286*n**3 - 1146*n**3 - 48 + 286*n**3 = 0.
-6, -1, 4
Let t(x) = -x**3 + 342*x**2 - 1402*x + 1890. Let a(r) = -5*r**3 + 1940*r**2 - 7945*r + 10710. Let l(j) = 7*a(j) - 40*t(j). Factor l(c).
5*(c - 14)*(c - 3)**2
Let x = 1591/7119 + -1/791. Let w(u) be the first derivative of 3 + 0*u - x*u**3 - 11/6*u**4 - 14/15*u**5 + u**2. Solve w(r) = 0 for r.
-1, 0, 3/7
Let v(p) = -3*p**3 - 3*p**2 + 31*p - 4. Let o be v(4). Let y be (-200)/o - (-1 + (-2)/(-3)). Solve 14/9*u + 2/9*u**3 - 2/3 - 10/9*u**y = 0.
1, 3
Suppose -7*y = z - 4*y - 11, -3*z - 2*y + 12 = 0. Let i be z/90 + 2/10. Factor 4/9*h**2 - 2/9 + 2/9*h - i*h**4 - 4/9*h**3 + 2/9*h**5.
2*(h - 1)**3*(h + 1)**2/9
Let c(h) be the second derivative of h**4/3 - 20*h**3/3 - 48*h**2 + 991*h + 1. Factor c(v).
4*(v - 12)*(v + 2)
Let f be (1/3)/((-116)/(-1044)). Let u = -432 + 432. Factor 0*o - o**2 + 1/5*o**f + u.
o**2*(o - 5)/5
Let g(f) be the third derivative of -f**8/1260 - f**7/525 + f**6/45 + 3*f**5/50 - f**4/10 + 6216*f**2. Solve g(m) = 0 for m.
-3, -2, 0, 1/2, 3
Suppose -4*x + 4*i = -212, x - 4*i = -0*i + 50. Let k be ((-3)/(-2))/((x/(-60))/(-9)). What is b in -18*b**2 + 4*b - b**3 - k*b - 16*b - 2*b**3 = 0?
-3, 0
Let 323*s - 7*s**2 + 287*s - 409*s + 948 + 3*s**2 + 103*s = 0. What is s?
-3, 79
Let r(w) be the first derivative of 11*w**6/60 - 5*w**5/8 + 3*w**4/8 - 71*w**3 - 215. Let j(c) be the third derivative of r(c). Find p such that j(p) = 0.
3/22, 1
Let c(y) be the first derivative of y**3/3 + 26*y**2 - 106*y + 585. Let k be c(-54). Let -3/2*t - 3 + 3/2*t**k = 0. Calculate t.
-1, 2
Suppose 356 = 179*k - 181. Factor -2/5*v**k + 0*v + 0 + 2*v**2.
-2*v**2*(v - 5)/5
Let k(c) = -2*c**4 + 2. Let o(u) = -4*u**5 - 388*u**4 + 24*u**3 + 2392*u**2 - 3220*u + 1196. Let h(y) = -8*k(y) - o(y). Factor h(g).
4*(g - 1)**3*(g + 3)*(g + 101)
Let o(j) be the first derivative of -1/14*j**4 - 11/7*j**2 - 140 + 12/7*j + 4/7*j**3. Find z, given that o(z) = 0.
1, 2, 3
Let v(m) = 7*m**2 + 1324*m + 1297. Let w(a) = -29*a**2 - 5298*a - 5179. Let t(z) = -9*v(z) - 2*w(z). Factor t(x).
-5*(x + 1)*(x + 263)
Factor -2/5*m**2 - 32/5*m - 22.
-2*(m + 5)*(m + 11)/5
Solve p**3 - 45/8*p - 9/4 + 11/8*p**2 = 0.
-3, -3/8, 2
Factor -44/3*l - 29*l**2 + 1/3*l**4 + 0 - 14*l**3.
l*(l - 44)*(l + 1)**2/3
Let r(d) be the first derivative of -d**5/15 + 3*d**4/2 - 85*d**3/9 + 500*d/3 + 1490. Suppose r(o) = 0. What is o?
-2, 5, 10
Let k(l) be the third derivative of l**7/1470 + l**6/21 + 15*l**5/14 - 58*l**3/3 + 74*l**2. Let t(b) be the first derivative of k(b). Let t(i) = 0. What is i?
-15, 0
Factor 0*c + 0 + 0*c**2 - 4/7*c**5 - 92/7*c**4 - 24*c**3.
-4*c**3*(c + 2)*(c + 21)/7
Let j(i) = -i**3 - 13*i**2 + 20*i + 16. Let h be j(-14). Let o = h + 72. Factor -3 - 2*g + 2*g**3 - 3*g**5 + 1 - 6*g**2 + 3*g + 5*g**o + 3.
-(g - 1)**3*(g + 1)*(3*g + 1)
Suppose -5*i - 4*c - 3734 = 0, 0 = i - 3*c - c + 742. Let b = 749 + i. Determine p so that -8/17*p**2 + 0 - 2/17*p**b - 8/17*p = 0.
-2, 0
Let r(z) be the third derivative of -z**9/7560 + z**8/672 + z**7/90 - 67*z**4/12 - 17*z**2 + 1. Let p(d) be the second derivative of r(d). Factor p(f).
-2*f**2*(f - 7)*(f + 2)
Let p(g) = 116 + 477 + 26*g - 17 - 53. Let q be p(-20). Factor -7/3*a - 3*a**2 - 1/3*a**4 - 2/3 - 5/3*a**q.
-(a + 1)**3*(a + 2)/3
Factor -503*z**3 - 72*z**2 + 76 - 4*z**4 + 319*z**3 + 264*z**3 - 80*z.
-4*(z - 19)*(z - 1)**2*(z + 1)
Suppose 4/3*j**4 - 1/6*j**5 - 23/6*j - 19/3*j**2 + 4*j**3 + 5 = 0. What is j?
-3, -1, 1, 10
Suppose -23*z = 8*z - 372. Suppose 28*p + z = 31*p. Factor 0*h**3 + 2/9*h**5 - 2/9*h + 4/9*h**p - 4/9*h**2 + 0.
2*h*(h - 1)*(h + 1)**3/9
Suppose 10*u = 14*u - 8. Suppose -3*k - u + 8 = 0. Suppose -8*r**3 - 3*r**3 + 12 + 3*r**3 + 16*r - 20*r**k = 0. Calculate r.
-3, -1/2, 1
Factor -1/6*f**3 - 22*f + 0 + 34/3*f**2.
-f*(f - 66)*(f - 2)/6
Let g(p) = 18*p**4 - 75*p**3 - 164*p**2 - 181*p. Let f(o) = 5*o**4 - 19*o**3 - 40*o**2 - 45*o. Let b(z) = 11*f(z) - 3*g(z). Suppose b(n) = 0. What is n?
-12, -2, 0
Let v(u) = 2*u**3 + 18*u**2 - 4*u + 6. Let w be v(-9). Let c be ((-4)/(-14))/((-6)/w) + 11. Let -6*d**3 + 2*d**2 + d**3 + 2*d**2 - c*d**3 = 0. What is d?
0, 2/7
Let s(f) be the second derivative of -f**7/84 + 9*f**6/20 + 69*f**5/8 - 10051*f**4/24 - 20*f + 93. Solve s(y) = 0 for y.
-19, 0, 23
Let z(a) be the first derivative of 3*a**2 - 3*a**5 + 27/4*a**4 - 7*a**3 + 0*a + 1/2*a**6 + 37. Fa