 r in -3 - r - r + 2*r**3 - 17 - 242*r**2 + 499*r**2 - 237*r**2 = 0?
-10, -1, 1
Let m(n) be the second derivative of 5*n**4/36 - 55*n**3/18 + 15*n**2 + 7*n - 2. Let m(c) = 0. What is c?
2, 9
Let m(f) = -f**3 + 9*f**2 + 4*f - 16. Let n(h) = 2*h**2 - h - 5. Let r(a) = -m(a) + 5*n(a). Factor r(z).
(z - 3)*(z + 1)*(z + 3)
Let a(u) be the second derivative of u**6/15 - 37*u**5/10 + 55*u**4 + 252*u**3 - 9720*u**2 - 649*u. Solve a(q) = 0 for q.
-5, 6, 18
Let n(p) be the first derivative of 40*p**2 - 5/3*p**3 - 74 - 320*p. Factor n(b).
-5*(b - 8)**2
Let v = -47087 - -47090. Factor 32/9 + 112/3*c**2 - 98/9*c**v + 24*c.
-2*(c - 4)*(7*c + 2)**2/9
Let n(h) be the second derivative of 7/3*h**2 + 2/3*h**3 + 8*h - 1/18*h**4 + 0. What is m in n(m) = 0?
-1, 7
Let w be 1025/(-40) - 6/16. Let i be 4 + 100/w + 24/13. Find k, given that 196*k**i + 14 + 54*k - 3 + 5 - 166*k = 0.
2/7
Let q(j) = 1324*j**2 + 670*j + 4. Let g(v) = -6618*v**2 - 3349*v - 20. Let b(x) = 6*g(x) + 29*q(x). Find d such that b(d) = 0.
-1/2, -1/164
Let y(o) be the third derivative of o**6/80 + 51*o**5/40 + 73*o**4/8 + 24*o**3 - 96*o**2 - 3. Find p such that y(p) = 0.
-48, -2, -1
Let u(s) = -9*s**3 + 17*s**2 + 181*s + 163. Let x(d) = -8*d**3 + 16*d**2 + 181*d + 164. Let z(i) = -7*u(i) + 8*x(i). Determine v, given that z(v) = 0.
-9, -1, 19
Factor 1740*y - 6728 - 225/2*y**2.
-(15*y - 116)**2/2
Factor -16*q + 0 + 20/3*q**3 + 4/3*q**4 - 32/3*q**2.
4*q*(q - 2)*(q + 1)*(q + 6)/3
What is l in 0*l + 2209/3*l**2 + 95/3*l**4 - 1/3*l**5 - 2303/3*l**3 + 0 = 0?
0, 1, 47
Let r(l) = l**3 + 24*l**2 + 23*l + 11. Let o be r(-23). Suppose -o*y - 129*y + 1083 - 103 - 3*y**2 + 8*y**2 = 0. What is y?
14
Let d(n) be the first derivative of -n**3/2 + 492*n**2 + 1974*n - 3570. Suppose d(a) = 0. Calculate a.
-2, 658
Let o = -111555 - -111560. Solve -6/13*f + 0 + 8/13*f**3 + 4/13*f**4 - 2/13*f**o - 4/13*f**2 = 0.
-1, 0, 1, 3
Let r(z) = -10*z**4 + 434*z**3 + 842*z**2 + 426*z + 14. Let c(o) = 7*o**4 - 290*o**3 - 561*o**2 - 284*o - 10. Let q(a) = -7*c(a) - 5*r(a). Factor q(k).
k*(k - 142)*(k + 1)**2
Suppose 4*i - 102 - 14 = -5*j, 5*i = j. Let u be (364/j)/(-7) + 5. Solve u*h - 2/5*h**2 - 18/5 = 0 for h.
3
Let z(b) = 2*b**2 + 7*b**2 - 2*b**2 - 1 - 11*b - 5. Let n(o) = 2*o**2 - o - 1. Let w(h) = 6*n(h) - z(h). Factor w(r).
5*r*(r + 1)
Let v(g) be the first derivative of 1/4*g**2 + 0*g - 195 + 1/18*g**3. Factor v(s).
s*(s + 3)/6
Let b(c) = -3*c**2 - 33*c + 30. Let q(p) = 5*p**2 - 20 + 15 + p**3 - 27 + 50*p - 16*p. Let a(w) = 4*b(w) + 3*q(w). Solve a(j) = 0.
-4, 1, 2
Suppose 4*b = -3*m - 34, b + 26 = 645*m - 647*m. What is f in 1/3*f**b + 147 - 14*f = 0?
21
Factor 2774 + l**3 + 5046 + 2*l**3 - 884 - 78*l**2 + 51*l.
3*(l - 17)**2*(l + 8)
Let t(u) be the second derivative of -u**4/30 + 18*u**3/5 + 11*u**2 - 351*u - 4. What is k in t(k) = 0?
-1, 55
Factor 124/11*f**2 - 254/11*f + 128/11 + 2/11*f**3.
2*(f - 1)**2*(f + 64)/11
Let w(z) = z**2 - 17*z - 80. Suppose -3*r = 17*r - 420. Let u be w(r). Determine j, given that 4/3*j**u + 0 - 4/3*j + 4/3*j**3 - 4/3*j**2 = 0.
-1, 0, 1
Suppose 8*h - 672 = -0*h. Suppose h = 2*k + 22. Factor 17*o**5 - k*o**5 + 26*o**3 + 15*o**5 + 9*o**4 + 5 + 34*o**2 + 21*o.
(o + 1)**4*(o + 5)
Let u(g) be the third derivative of g**5/10 - 8*g**4/3 - 76*g**3/3 + 4*g**2 - 54*g. Factor u(z).
2*(z + 2)*(3*z - 38)
Factor 3/2*n**2 - 90*n + 174.
3*(n - 58)*(n - 2)/2
Let k(q) be the third derivative of q**7/252 - 65*q**6/48 + 1067*q**5/8 - 47045*q**4/144 + 337*q**2. Factor k(i).
5*i*(i - 97)**2*(i - 1)/6
Let c(t) be the second derivative of 4/9*t**4 + 1/30*t**5 + 0*t**2 + 5/3*t**3 - 2 + 127*t. Suppose c(b) = 0. What is b?
-5, -3, 0
Let s(y) be the first derivative of 5/12*y**4 + 2/5*y**5 + 1/18*y**6 + 0*y**3 + 0*y**2 - 41 + 0*y. Factor s(q).
q**3*(q + 1)*(q + 5)/3
Let y be ((-2)/(-35)*-2)/((-9732)/56770*14/666). Suppose -6/7*r**5 - 2904/7*r - y*r**3 - 2376/7*r**2 + 108/7*r**4 + 0 = 0. What is r?
-2, 0, 11
Let i(z) be the third derivative of z**6/24 - 647*z**5/12 + 6455*z**4/24 - 1075*z**3/2 - 462*z**2 - 7*z. Factor i(l).
5*(l - 645)*(l - 1)**2
Let g = -2/360451 + 9371744/3244059. Determine s, given that -44/3*s**2 + g*s + 8/9 = 0.
-1/6, 4/11
Factor -413544*j**3 - 2308*j**2 + 413540*j**3 + 14363 - 1002791 - 336364*j.
-4*(j + 3)*(j + 287)**2
Suppose 4*y = -4*p - 9 + 21, y - 4*p = 8. Let a(q) be the second derivative of 0*q**2 + 1/45*q**3 - 1/90*q**y - 15*q + 0. Solve a(i) = 0 for i.
0, 1
Let u(z) be the first derivative of 1/14*z**4 + 10/21*z**3 + 2*z - 13/7*z**2 - 117. Find o, given that u(o) = 0.
-7, 1
Suppose 0 = 5*x + 3*p - 32, -p - 3 = 2*x - 15. Suppose 2*a = -0*a + x. What is b in -4*b**2 + 3 + 5*b**a - 6 + 2*b**2 = 0?
-1, 1
Let w(l) be the first derivative of -2*l**3/9 + 332*l**2/3 + 1336*l/3 + 1154. Solve w(g) = 0 for g.
-2, 334
Suppose -38*p = -134*p + 1536. Suppose -90*n + 3*k = -85*n - 32, 0 = -4*k - p. Solve 1/5*a**5 + 0 + 2/5*a + 1/5*a**2 - 1/5*a**n - 3/5*a**3 = 0 for a.
-1, 0, 1, 2
Let y(u) be the second derivative of 1/12*u**4 + 0*u**3 + 1/8*u**5 + 21*u - 2 - 1/20*u**6 + 0*u**2. Factor y(x).
-x**2*(x - 2)*(3*x + 1)/2
Let u(b) be the first derivative of -b**5/5 + b**4/2 + 35*b**3/3 - 930. Factor u(a).
-a**2*(a - 7)*(a + 5)
Let l be 4*9/(26 - 8). Determine q so that -35*q + 74*q - 139*q + q**l + 3*q**2 = 0.
0, 25
Let s = 341 + -336. Let i(g) = -g**4 + 15*g**3 + 7*g**2 - 9*g. Let h(q) = -q**4 + 22*q**3 + 10*q**2 - 13*q. Let f(m) = s*h(m) - 7*i(m). Factor f(x).
x*(x + 1)*(x + 2)*(2*x - 1)
Let t(w) = 4*w + 14. Let r be t(-5). Let a be (-3)/(-9) - 10/r*1. What is m in 6*m**2 + 0*m**4 - 22*m + 20*m + a*m**4 - 6*m**3 = 0?
0, 1
Let z(d) be the second derivative of d**4/30 - 8*d**3/5 - 112*d**2/5 + 1514*d. Determine x so that z(x) = 0.
-4, 28
Factor -4522*o**2 + 4526*o**2 + 2*o**5 - 23*o - 5*o**4 + 22*o**3 - o + 17*o**4 - 16.
2*(o - 1)*(o + 1)*(o + 2)**3
Let q(g) be the third derivative of g**7/2520 + g**6/90 - 3*g**5/40 + 61*g**4/12 + 2*g**2 - 4. Let i(d) be the second derivative of q(d). Factor i(w).
(w - 1)*(w + 9)
Factor 2*b**4 - 466*b**3 + b**4 - 1356*b**2 - 1368*b + 136*b**3.
3*b*(b - 114)*(b + 2)**2
Let z be -9 - (-2 + 2 + 0 - -2). Let q = 13 + z. Factor -170 - 64*w + w**2 - 2*w**q - 86 - 3*w**2.
-4*(w + 8)**2
Let u be 6/36 - (34/(-12) + 1). Suppose u*o = -16*l + 18*l - 8, -10 = -2*l + 4*o. Solve 3/4*f**2 - 9/4*f - l = 0.
-1, 4
Let f(r) = 414*r + 1254. Let k be f(-3). Let x(t) be the first derivative of -2/5*t**5 + k*t**2 - 8*t + 3*t**4 - 26/3*t**3 - 6. Factor x(s).
-2*(s - 2)**2*(s - 1)**2
Let w be 1118/(-22) - 10/55. Let m = 52 + w. Suppose m - 3/4*d**4 - 5/2*d**3 - 7/4*d**2 + d = 0. Calculate d.
-2, -1, 2/3
Let c(u) be the first derivative of 5/6*u**6 + 15/2*u**4 - 20*u**2 + 20/3*u**3 - 160 + 0*u - 5*u**5. Let c(x) = 0. What is x?
-1, 0, 2
Factor 2/3*p**2 - 26/3 - 17*p - 1/3*p**5 + 8*p**4 + 52/3*p**3.
-(p - 26)*(p - 1)*(p + 1)**3/3
Let n(m) be the second derivative of m**6/90 - m**5/3 + 89*m**4/36 - 35*m**3/9 + 20*m - 26. Determine o, given that n(o) = 0.
0, 1, 5, 14
Let q(j) = -9*j**2 + 13*j - 11. Let s(u) = 5*u**2 - 7*u + 6. Let b = 25 + -22. Let y be (0 - b) + -6 + 1 + 2. Let x(m) = y*q(m) - 11*s(m). Factor x(k).
-k*(k + 1)
Let n(i) = -1 + i**3 + 0*i**3 + 4. Let q be n(0). Factor 7*a**3 - 15*a**4 + q*a**3 - 16*a**3.
-3*a**3*(5*a + 2)
Let -3*z**2 - 1146*z - 1203*z + 374*z - 14*z = 0. Calculate z.
-663, 0
Let p(y) be the third derivative of y**8/1344 + 333*y**7/280 + 83333*y**6/160 + 249001*y**5/240 + 22*y**2 + 24*y. Find j, given that p(j) = 0.
-499, -1, 0
Factor 54/7*i**2 + 1210/7 - 66*i - 2/7*i**3.
-2*(i - 11)**2*(i - 5)/7
Let c(x) be the second derivative of x**4/6 + 83*x**3/3 - 84*x**2 - 908*x. What is q in c(q) = 0?
-84, 1
Let n = -129 - -188. Suppose 5*z + 3*l - 8*l - 35 = 0, -4*z = -l - 13. Factor 63 - z*d + 2*d - n - 4*d**2.
-4*(d - 1)*(d + 1)
Let z(j) be the first derivative of -1/12*j**3 - 3*j + 7/8*j**2 - 130. What is l in z(l) = 0?
3, 4
Let z = -297 + 291. Let l(d) = 24*d**4 - 180*d**3 - 390*d**2 - 200*d. Let k(o) = 5*o**4 - 36*o**3 - 78*o**2 - 40*o. Let t(v) = z*l(v) + 28*k(v). Factor t(g).
-4*g*(g - 20)*(g + 1)**2
Let u(k) = 6*k**3 - 309*k**2 + 10*k + 30. Let r(w) = -7*w**3 + 308*w**2 - 12*w - 36. Let p(q) = -5*r(q) - 6*u(q). What is j in p(j) = 0?
0, 314
Factor -4*v**3 + 8 + 1/2*v**4 +