*4/4 + 12*s**2. Let a(h) be the second derivative of n(h). Suppose a(u) = 0. What is u?
-6, -1, 0
Let t(k) be the first derivative of k**5/20 + 15*k**4/16 - 11*k**3/4 + 17*k**2/8 - 688. Let t(z) = 0. What is z?
-17, 0, 1
Let w(x) be the third derivative of x**8/1176 - 2*x**7/147 + 17*x**6/420 - 4*x**5/105 + 42*x**2. Suppose w(t) = 0. What is t?
0, 1, 8
Let l(f) be the second derivative of f**5/120 - 13*f**3/36 + f**2 + 42*f. Factor l(j).
(j - 3)*(j - 1)*(j + 4)/6
Let a(h) be the first derivative of 0*h**2 + 0*h + 0*h**4 + h**3 + 24 - 3/5*h**5. Find o such that a(o) = 0.
-1, 0, 1
Let j(f) = 8*f**4 + 81*f**3 - 320*f**2 + 409*f - 160. Let t(y) = -5*y**4 - 40*y**3 + 160*y**2 - 204*y + 80. Let p(g) = 4*j(g) + 7*t(g). Solve p(u) = 0 for u.
2/3, 2, 10
Let k(i) be the first derivative of -i**4/15 - 4*i**3/15 + 2*i - 16. Let o(x) be the first derivative of k(x). Factor o(c).
-4*c*(c + 2)/5
Let o be 665/(-190)*4/(-14). Let j(u) be the first derivative of 1/12*u**2 + 0*u - 1/18*u**3 + o. What is a in j(a) = 0?
0, 1
Let n(q) = -4*q**3 - 32*q**2 + 52*q - 4. Let i(o) = o**4 + 8*o**3 + 64*o**2 - 105*o + 9. Let g(f) = -4*i(f) - 9*n(f). Find l such that g(l) = 0.
-3, 0, 2
Let d(b) be the second derivative of b**6/180 - 2*b**5/45 + b**4/9 - 15*b**2/2 + 12*b. Let q(k) be the first derivative of d(k). Factor q(f).
2*f*(f - 2)**2/3
Let a(k) = 2*k**3 + 12*k**2 - 51*k + 28. Let y(d) = 15*d**3 + 85*d**2 - 355*d + 195. Let c(l) = 20*a(l) - 3*y(l). Factor c(h).
-5*(h - 1)**2*(h + 5)
Let f = -11648 - -11650. Determine w, given that -3/8*w - 3/8 + 3/4*w**f = 0.
-1/2, 1
What is r in -243/7*r**3 + 1350/7*r**2 + 636/7*r + 72/7 = 0?
-2/9, 6
Let b be (-27)/(-12) - 18/(-24). Suppose -2*l = 5*u - 175, 2*u = -b*l - 42 + 101. Suppose -2*x**4 - 3*x**3 + 31*x**2 - 3*x**3 - u*x**2 - 2*x = 0. Calculate x.
-1, 0
Let z(q) be the second derivative of 5*q**9/3024 - q**8/168 + q**7/168 - 4*q**3/3 - 17*q. Let y(u) be the second derivative of z(u). Factor y(a).
5*a**3*(a - 1)**2
Let j(g) be the second derivative of -g**5/30 + g**4/4 - 21*g**2/2 + 9*g. Let n(r) be the first derivative of j(r). Determine m, given that n(m) = 0.
0, 3
Let g(f) be the first derivative of -4*f**3/3 + 12*f**2 - 20*f + 70. Factor g(o).
-4*(o - 5)*(o - 1)
Suppose 3*o + 3 = f, -13*o + 3*f = -12*o + 9. Let y(n) be the third derivative of 0 + 1/240*n**6 + 8*n**2 - 1/16*n**4 - 1/6*n**3 + 0*n**5 + o*n. Factor y(q).
(q - 2)*(q + 1)**2/2
Let u(i) = i**2 + 3*i - 68. Let d(v) = -v - 15. Let c be d(-5). Let j be u(c). Factor -4/7 - 10/7*t + 6/7*t**3 + 8/7*t**j.
2*(t - 1)*(t + 2)*(3*t + 1)/7
Factor 572/3*l - 100/3*l**2 + 4/3*l**3 + 676/3.
4*(l - 13)**2*(l + 1)/3
Let l(x) be the second derivative of 2*x**6/15 + 27*x**5/10 - 7*x**4/3 + 2*x + 124. Factor l(z).
2*z**2*(z + 14)*(2*z - 1)
Let c be 12/8*(-12)/(-9). Let x be 3/(-1 + c) - 3. Solve -15*p**3 + 0*p**4 + 9*p**5 + x*p**4 + 6*p - 3*p**4 + 3*p**2 = 0 for p.
-1, -2/3, 0, 1
Let i be ((-671)/(-1586))/((-12)/(-78)). Factor -i*g - 7/4*g**2 - 1.
-(g + 1)*(7*g + 4)/4
Suppose 0 = -0*b + 5*b - 40. Suppose -7*t + b*t - 7 = 0. Solve -1 + 0 + t*d**2 - 6*d**2 = 0.
-1, 1
Suppose -5*f - 19 = g + 7, f - 5*g = 0. Let i be 4/15*f/((-10)/24). Factor i*b - 16/5*b**2 - 3/5.
-(4*b - 3)*(4*b - 1)/5
Let c(m) be the third derivative of -m**6/960 - m**5/80 - 27*m**2. Factor c(b).
-b**2*(b + 6)/8
Let b(s) be the first derivative of -s**6/360 - s**5/120 + s**4/12 + 5*s**3 - 2. Let u(c) be the third derivative of b(c). Factor u(y).
-(y - 1)*(y + 2)
Let p(w) = -53*w**3 + 588*w**2 + 386*w - 187. Let r(c) = 18*c**3 - 196*c**2 - 128*c + 62. Let g(q) = -6*p(q) - 17*r(q). Factor g(s).
4*(s - 17)*(s + 1)*(3*s - 1)
Let j(z) be the first derivative of 4/3*z**3 + 0*z + 2*z**2 - 25. Factor j(r).
4*r*(r + 1)
Let g(m) be the second derivative of -m**5/16 + 145*m**4/48 + 415*m**3/12 + 85*m**2 + 9*m - 40. Factor g(j).
-5*(j - 34)*(j + 1)*(j + 4)/4
Determine a so that -6/5*a - 9/5 + 3*a**2 = 0.
-3/5, 1
Suppose 5*g - 7 = 8. Suppose j = g*j - 22. Factor 22 - 4*t + 3*t**3 - 2*t**2 + t + j*t**2 - 31.
3*(t - 1)*(t + 1)*(t + 3)
Let p be 296/111*((-2)/(-4) - 2). Let o(a) = 15*a**3 - 9*a**2 - 3. Let f(t) = t**4 + 16*t**3 - 8*t**2 - 4. Let l(q) = p*o(q) + 3*f(q). Factor l(r).
3*r**2*(r - 2)**2
Let o(c) = -2*c**3 - 25*c**2 + 14*c + 13. Let z be o(-13). Let l be (1 - 2 - z)*0/4. Solve 2/9*u**2 + l + 2/9*u = 0.
-1, 0
Determine f, given that 50/3*f**4 + 40/3*f**2 - 30*f**3 + 0 - 5/2*f**5 + 0*f = 0.
0, 2/3, 2, 4
Let a(g) be the first derivative of 3*g**4/28 + 8*g**3/7 + 15*g**2/14 - 6*g - 98. Factor a(x).
3*(x - 1)*(x + 2)*(x + 7)/7
Let h(y) = -y + 1. Let r(d) = -5*d**3 + 23*d**2 - 22*d - 10. Let q(g) = 10*h(g) - 5*r(g). Suppose q(j) = 0. What is j?
-2/5, 2, 3
Let l(f) be the third derivative of -1/3*f**3 + 1/8*f**4 - 1/120*f**6 + 0*f + 0*f**5 + 0 - 13*f**2. Solve l(c) = 0.
-2, 1
Let o(w) be the third derivative of -w**5/12 - 25*w**4/12 - 15*w**3/2 - 389*w**2. Factor o(g).
-5*(g + 1)*(g + 9)
Factor 46/5*u**2 + 1/5 + 12/5*u + 5*u**4 + 12*u**3.
(u + 1)**2*(5*u + 1)**2/5
Let x(y) = y**3 - 12*y**2 + 5*y + 5. Let l(c) = c**2 + c - 1. Let b(h) = 5*l(h) + x(h). Determine r, given that b(r) = 0.
0, 2, 5
Let y(r) be the third derivative of 5*r**8/336 + r**7/6 + 7*r**6/12 + 2*r**5/3 + 24*r**2 - 3. Solve y(w) = 0 for w.
-4, -2, -1, 0
Let q = -3966 - -3968. Find c, given that -2/9*c**3 - 2/3*c + 0 - 2/9*c**4 + 10/9*c**q = 0.
-3, 0, 1
Let d(m) = -m - 10. Let u(y) = -y - 10. Let f(l) = 4*d(l) - 5*u(l). Let c be f(-6). Factor -k**3 - 5*k**2 + 2*k**2 + c*k**2.
-k**2*(k - 1)
Let j = 11059 - 11054. Suppose 1 + 11 = 4*s. Determine b, given that -4*b**s - 2/3*b + 8/3*b**2 + 8/3*b**4 - 2/3*b**j + 0 = 0.
0, 1
Let a(l) be the first derivative of 15*l**4/16 + 11*l**3/12 - l**2 - l - 33. Factor a(c).
(c + 1)*(3*c - 2)*(5*c + 2)/4
Let a(p) be the first derivative of -4/3*p**3 + 4*p - p**2 + 1/2*p**4 - 8. Factor a(l).
2*(l - 2)*(l - 1)*(l + 1)
Let j = -34 + 50. Let 3*m**2 + m**2 - 32 - j*m - 6*m**2 = 0. Calculate m.
-4
Let k(l) = l**3 - 3*l - 2. Let w(q) = 6*q**3 - 21*q - 15. Let m(c) = 15*k(c) - 2*w(c). Solve m(v) = 0.
-1, 0, 1
Let y be ((-52)/11700)/(2/(-5)). Let u(a) be the third derivative of -2*a**2 + 0*a + 0*a**3 - y*a**4 + 0 + 7/900*a**6 - 1/90*a**5. Factor u(w).
2*w*(w - 1)*(7*w + 2)/15
Factor -2/3*r**3 + 0*r - 26/3*r**2 + 0.
-2*r**2*(r + 13)/3
Suppose 2*j - 4*h + 14 = -2*h, 3*h + 6 = 0. Let n = j - -13. Factor 4 + 6*k + 3*k**2 - n.
3*k*(k + 2)
Determine l, given that -4*l**5 - 76653*l**4 - 109569056*l - 4152920*l**2 - 88360*l**3 + 75713*l**4 + 11975436*l - 917380028 = 0.
-47
Let a be (-4)/6 - 84/(-18). Let y = 6 - 2. Factor 38*u**2 - 42*u**2 + 0*u**4 - y*u**3 - 4*u**3 - a*u**4.
-4*u**2*(u + 1)**2
Determine q, given that 1 + 1/2*q**2 - 1/4*q**3 + 7/4*q = 0.
-1, 4
Let p = 1134 + -2017. Let u = 4433/5 + p. Solve u + 2/5*l**2 - 12/5*l = 0.
3
Let g(b) be the first derivative of -3*b**3 + 0*b - 3*b**2 - 8 - 3/4*b**4. Determine y so that g(y) = 0.
-2, -1, 0
Find u such that 0*u**4 - 3*u**4 + 7*u**4 + 0*u**4 + 24*u**3 = 0.
-6, 0
Suppose -4*u = 2*z - 28, -u = 4*u. Let x be (-2)/7 + 32/z. Factor -2*y**4 + x*y + 5*y**2 + 4*y**3 + 3*y**4 - y**4 + y**4.
y*(y + 1)**2*(y + 2)
Let s(j) be the first derivative of j**6/27 + 2*j**5/5 + 5*j**4/18 - 50*j**3/27 - 2*j**2/3 + 32*j/9 - 46. Solve s(w) = 0.
-8, -2, -1, 1
Let b = 59/790 + 2/79. Let w(x) be the second derivative of 1/15*x**6 + 0 - 1/3*x**4 + 0*x**2 + 0*x**3 - x + b*x**5. Factor w(j).
2*j**2*(j - 1)*(j + 2)
Suppose -5*l + 2*n = -60, 0 = -4*l + 4*n - n + 48. Let u be 8/3 - 4/6. Solve 6 + 12*o + 1 + 0 + 18*o**u - 4 + l*o**3 + 3*o**4 = 0.
-1
Let g be ((-387)/21 + 12)/(-3 - 0). Let g*h**2 + 3/7*h**3 - 15/7 - 3/7*h = 0. What is h?
-5, -1, 1
Let h be ((60/64)/5)/(-6 + (-105)/(-14)). Find o such that 1/2*o + 1/2 + h*o**2 = 0.
-2
Let b(u) be the first derivative of u**9/10584 - u**8/5880 - u**7/1470 + 11*u**3/3 + 5. Let k(z) be the third derivative of b(z). Determine q so that k(q) = 0.
-1, 0, 2
Let i = -3037 + 3039. Suppose 8/11*g - 6/11*g**i + 8/11 - 2/11*g**4 - 8/11*g**3 = 0. Calculate g.
-2, -1, 1
Let s = 29178 - 29178. Suppose 2/3*r**2 + s*r + 2/3*r**3 + 0 = 0. What is r?
-1, 0
Let p(f) be the first derivative of -5*f**3/9 - 35*f**2/3 - 245*f/3 + 53. Factor p(w).
-5*(w + 7)**2/3
Let g(a) = -4*a**3 + a**2 - 8*a +