 2/3*p**3 - 8*p**2 - 159 - 96*p. What is w in j(w) = 0?
-4, 12
Let w(j) = 36*j**2 + 1472*j + 47628. Let l(k) = -13*k**2 - 489*k - 15876. Let i(p) = -8*l(p) - 3*w(p). Solve i(t) = 0.
-63
Let f = 1154 - 10384/9. Let v(w) be the first derivative of -4/3*w + 8/9*w**3 + 2/3*w**4 - 4/15*w**5 + 1 - f*w**6 - 2/3*w**2. Factor v(k).
-4*(k - 1)**2*(k + 1)**3/3
Let v(a) = 23213*a - 69639. Let i be v(3). Suppose 0*w + 0 + 5/2*w**3 + 5/6*w**4 + i*w**2 = 0. Calculate w.
-3, 0
Let h = -74 + 75. Let s(c) = c**3 - 2*c**2 - c - 1. Let x(b) = b**3 + 86*b**2 - 2702*b + 26998. Let a(g) = h*x(g) - 2*s(g). Suppose a(i) = 0. What is i?
30
Let a(f) be the second derivative of 25/4*f**4 + 0 - 520/3*f**3 + 49/6*f**6 - 160*f**2 + 205/4*f**5 - 34*f + 5/14*f**7. Determine w so that a(w) = 0.
-8, -1, -1/3, 1
Let i(g) be the first derivative of 5*g**3/3 - 3870*g**2 + 2995380*g - 1953. Factor i(y).
5*(y - 774)**2
Let p(u) be the second derivative of u**4/8 + 23*u**3/4 + 153*u**2/2 + 9*u + 11. Find c, given that p(c) = 0.
-17, -6
Let l = 255 + -236. Suppose 4 - 32*k - l*k - k + 76*k**2 + 8*k - 37*k**3 + k**3 = 0. What is k?
1/9, 1
Let m be (528/(-1144))/((-2)/6 - -2*35/390). What is v in 18*v**2 + 50/3 - 34*v - 2/3*v**m = 0?
1, 25
Let c(b) be the first derivative of 3*b**4 + 151*b**3/3 - 67*b**2/2 - 26*b - 581. Solve c(f) = 0.
-13, -1/4, 2/3
Let d(z) = -11*z**4 - 69*z**3 - 9*z. Suppose 110 = -4*q + 74. Let l(x) = 3*x**4 + 17*x**3 + 2*x. Let n(u) = q*l(u) - 2*d(u). Find k such that n(k) = 0.
-3, 0
Let p(y) be the first derivative of -15*y - 4/9*y**3 + 16 + 4/3*y**2 + 1/18*y**4. Let k(i) be the first derivative of p(i). Factor k(c).
2*(c - 2)**2/3
Let k = -461 + 521. Factor 30*i + 16*i**2 - 5*i**3 + 30*i - k*i + i**3.
-4*i**2*(i - 4)
Let h(a) be the second derivative of 1/4*a**3 + 1/24*a**4 + 0*a**2 - 5*a + 0. Factor h(v).
v*(v + 3)/2
Suppose 0 = 4163*o - 3588*o. Determine v so that -3*v**2 + o - 1/2*v = 0.
-1/6, 0
Let m = -4010941/5 + 802193. Suppose 16/5*z**2 + 4/5*z**3 - m + 4/5*z = 0. What is z?
-3, -2, 1
Let k(m) be the second derivative of m**5/110 + 15*m**4/22 + 19*m**3 + 2527*m**2/11 - 40*m - 30. Factor k(q).
2*(q + 7)*(q + 19)**2/11
Factor -2*u**3 - 16/3*u**2 + 8*u + 3/2*u**4 - 8/3.
(u - 2)*(u + 2)*(3*u - 2)**2/6
Let 74*m**3 + 4*m**4 - 41*m**3 + 127*m**3 - 100186 + 99322 + 120*m + 580*m**2 = 0. What is m?
-36, -3, -2, 1
Suppose 328 = -5*u + 338. Let x(r) be the third derivative of -1/25*r**5 + 0*r**3 + 3/200*r**6 - 1/30*r**4 - u*r**2 + 1/150*r**7 + 0*r + 0. Factor x(o).
o*(o - 1)*(o + 2)*(7*o + 2)/5
Let a be (20/(-80))/((-3)/24). Let i(h) be the first derivative of -2/9*h**3 + 13 + 0*h + 0*h**a + 4/15*h**5 - 1/6*h**4. Let i(d) = 0. Calculate d.
-1/2, 0, 1
Suppose 21*n - 1625 = 8*n. Solve 97 + n + 9*r - 200 - r**2 = 0 for r.
-2, 11
Let g = -2432 + 43777/18. Let m(w) be the first derivative of 10/27*w**3 - 2*w + g*w**4 - 7 + 1/3*w**2. Find d, given that m(d) = 0.
-3, 1
Let i = 5782/17337 + -1/5779. Let f(x) be the second derivative of 1/24*x**4 + 0 + 13*x - 5/4*x**2 + i*x**3. What is u in f(u) = 0?
-5, 1
Let k = 167489 - 167471. Factor k*l**2 + 2/3*l**4 + 16/3 - 50/3*l - 22/3*l**3.
2*(l - 8)*(l - 1)**3/3
Let v = 13/5 + -12/5. Let f(p) be the third derivative of 1/10*p**6 + 6*p**2 + 0*p**3 + 0*p + 0 + 1/6*p**4 - v*p**5 - 2/105*p**7. Let f(m) = 0. Calculate m.
0, 1
Suppose 21898322 + 2233888 = 73*o - 10352406. Let 131220*q + 1/4*q**5 + o + 810*q**3 + 14580*q**2 + 45/2*q**4 = 0. What is q?
-18
Suppose 0 = -4*t + 5*k + 29, -5*k + 25 = 6*t - t. Suppose -15 - 15 = -t*j. Determine y, given that -12*y**2 + 9*y**4 - 2376*y + 2376*y - 3*y**j = 0.
-1, 0, 2
Let i = 198460/5397 - 9426/257. Factor -i*t**2 + 8*t - 168.
-2*(t - 42)**2/21
Let c be (-9)/6*64/(-12). Suppose h + c = l + 4*l, 3*l - 5*h = -4. Solve -3/2*u**3 + 0 + 0*u**l + 0*u - 3/2*u**4 = 0 for u.
-1, 0
Suppose -4*k + 2*q = -2*q + 56, -k + 4*q - 29 = 0. Let p be 67 + -5*k/15. Factor 130*g - 10 + p*g**2 + 25*g**3 - 49*g - 46*g.
5*(g + 1)*(g + 2)*(5*g - 1)
Let b(s) = -36*s + 3533. Let y be b(98). Let m(o) be the second derivative of 19*o + 1/20*o**6 + 27*o**2 + 0 + 13/8*o**4 + 3/4*o**y - 15*o**3. Factor m(v).
3*(v - 1)**2*(v + 6)**2/2
Solve -24/11*t**2 - 2/11*t**4 + 26/11 - 28/11*t + 28/11*t**3 = 0.
-1, 1, 13
Let h(r) be the first derivative of 6*r**6/5 - 57*r**5/5 + 13*r**4/3 + 58*r**3/3 + 12*r**2 + 62*r + 3. Let o(u) be the first derivative of h(u). Factor o(b).
4*(b - 6)*(b - 1)*(3*b + 1)**2
Let w be 20/18*(-57456)/(-6840). Factor 32*y + 0 - w*y**2.
-4*y*(7*y - 24)/3
Let v(f) = f**3 + 5*f**2 - 4*f - 7. Let o be v(-5). Suppose o = 3*w + 7. Find x such that -w*x**2 - 8*x**3 - 34*x + 2 + 67*x - 25*x = 0.
-1, -1/4, 1
Suppose -3/7*z**3 + 3*z**2 + 24*z + 144/7 = 0. What is z?
-4, -1, 12
Let j(s) = 4*s - 10. Let g be j(3). Let m(c) = -20*c**2 - 69*c - 80. Let l(h) = 4*h**2 + 14*h + 16. Let t(p) = g*m(p) + 11*l(p). Suppose t(b) = 0. What is b?
-2
Suppose 3*j - 77 = -4*y, -119 = -5*j + 4*y - 12. Suppose -4*r + j - 19 = 0. Suppose 3*d**2 + 5 + 7 - 5 - 9*d - r = 0. What is d?
1, 2
Let h(j) be the third derivative of -j**5/120 - 25*j**4/8 - 2*j**2 + 150. Let h(k) = 0. Calculate k.
-150, 0
Let i(h) be the second derivative of 2/3*h**2 - 1/9*h**3 - 1/9*h**4 + 72 + h + 1/30*h**5. Find s, given that i(s) = 0.
-1, 1, 2
Let x(d) be the first derivative of -23 + 0*d**2 + 1/40*d**5 - 1/4*d**3 + 1/12*d**4 + 9*d. Let b(p) be the first derivative of x(p). Let b(z) = 0. What is z?
-3, 0, 1
Let k(f) be the second derivative of -f**6/180 - f**5/60 + f**4/24 + 2*f**3/9 + f**2/3 - 31*f + 1. Let k(r) = 0. Calculate r.
-2, -1, 2
Suppose 18 = 358*t - 355*t. Let p(g) = -g**3 - 4*g - 2. Let s(j) = j**3 + 1. Let o(h) = t*s(h) + 3*p(h). Factor o(d).
3*d*(d - 2)*(d + 2)
Let -125*l - 3*l**3 - 349*l - 216*l - 467*l + 95 + 289*l**2 + 776*l = 0. Calculate l.
1/3, 1, 95
Let d(l) = 66*l - 64. Let r be d(1). Let p(y) be the third derivative of 0*y**3 + 5*y**r + 0 + 0*y**4 + 1/6*y**5 + 0*y - 1/8*y**6. Factor p(o).
-5*o**2*(3*o - 2)
Let o(s) be the third derivative of s**8/784 + 3*s**7/70 + 99*s**6/280 + 131*s**5/140 - 9*s**4/7 - 90*s**3/7 - 4*s**2 - 281*s. Let o(h) = 0. What is h?
-15, -3, -2, 1
Let t be (-60)/(-420) + (-2 - (-1)/(-7)). Let a be (-3)/(-12)*(-1)/(1 + t). What is q in a*q**2 + 1/2*q + 0 = 0?
-2, 0
Let w be 14/(-28)*2 - (-1 + 1 + -9). Let z(c) be the first derivative of -w + 1/8*c**3 - 3/8*c - 1/32*c**4 + 1/16*c**2. Solve z(t) = 0 for t.
-1, 1, 3
Let q(a) be the second derivative of a**4/54 + 22*a**3 + 9801*a**2 - 942*a - 1. Determine h so that q(h) = 0.
-297
Let z = -252 - -252. Let o be 1 + (z - -2 - -1). Let x**5 + 1/2*x**o + 0 - 3/2*x**3 + 1/2*x - 1/2*x**2 = 0. Calculate x.
-1, 0, 1/2, 1
Let s = -487 + -24. Let d = s - -1186. Suppose -1260*o**2 - 205 + 1040*o**3 - 120*o**4 + 70 + d*o - 200*o**4 = 0. Calculate o.
3/4, 1
Let y(f) be the first derivative of -4*f**5/25 + 4*f**4/5 + 196*f**3/15 - 392*f**2/5 - 2218. Solve y(l) = 0.
-7, 0, 4, 7
Let n(u) be the second derivative of u**4/4 - 36*u**3 + 213*u**2/2 + 783*u. Determine k, given that n(k) = 0.
1, 71
Factor -32*m**3 - 18*m - 12 + 967*m**4 - 57*m**2 + 12 - 972*m**4.
-m*(m + 3)**2*(5*m + 2)
Factor 16*f**2 - 497 - 18*f**2 + 549 + 52*f - 2*f.
-2*(f - 26)*(f + 1)
Let n(u) be the first derivative of -6*u**4/5 - 124*u**3/15 - 36*u**2/5 + 32*u + 1495. Factor n(m).
-4*(m + 2)*(m + 4)*(6*m - 5)/5
Let g(w) be the third derivative of -w**7/210 - 23*w**6/120 - 43*w**5/60 - 7*w**4/8 + w**2 - 72. Factor g(f).
-f*(f + 1)**2*(f + 21)
Let j(c) = -14*c**5 + 22*c**4 + 32*c**3 - 32*c**2 - 16. Let x(q) = -5*q**5 + 8*q**4 + 11*q**3 - 11*q**2 - 6. Let d(o) = -3*j(o) + 8*x(o). Factor d(n).
2*n**2*(n - 2)*(n - 1)*(n + 2)
Suppose -44 - 10 = -27*z. Suppose 3*t**z - 12 + 64274*t - 7*t**2 - 4*t**3 - 64254*t = 0. What is t?
-3, 1
Let t = 102281 + -102277. Factor -25/7*m**3 - 44/7*m + 8/7 + 54/7*m**2 + 4/7*m**t.
(m - 2)**3*(4*m - 1)/7
Let g(k) be the first derivative of -5*k**6/6 + 95*k**5 + 975*k**4/4 - 475*k**3/3 - 485*k**2 + 417. Suppose g(f) = 0. What is f?
-2, -1, 0, 1, 97
Let b(x) be the third derivative of -x**7/210 + 4*x**6/15 - 77*x**5/20 + 77*x**2. Factor b(g).
-g**2*(g - 21)*(g - 11)
Factor -30*u**2 + 5/4*u + 30 - 5/4*u**3.
-5*(u - 1)*(u + 1)*(u + 24)/4
Suppose -20*c + 8 + 12 = 0. Let u be (3/(-36))/c*-6. Determine 