 + (-223)/77 - -3. Let c(r) be the first derivative of 0*r**3 - 1/28*r**4 + b*r + 4 + 3/14*r**2. Factor c(n).
-(n - 2)*(n + 1)**2/7
Let k(c) be the first derivative of c**7/210 - c**5/30 + 11*c**3/3 + 18. Let q(u) be the third derivative of k(u). What is x in q(x) = 0?
-1, 0, 1
Let w(m) be the third derivative of -m**6/140 - m**5/210 + m**4/7 + 4*m**3/21 + 24*m**2. Suppose w(g) = 0. Calculate g.
-2, -1/3, 2
Let c(a) be the third derivative of -a**5/54 - a**4/12 - 4*a**3/27 - 3*a**2 - 2. Suppose c(q) = 0. Calculate q.
-1, -4/5
Let v(g) be the second derivative of -g**9/15120 + g**8/26880 + g**7/2520 - g**6/2880 + 7*g**4/2 - 11*g. Let n(i) be the third derivative of v(i). Factor n(t).
-t*(t - 1)*(t + 1)*(4*t - 1)/4
Solve 10*y**2 + 0*y**3 + 10*y**3 - 6*y**3 - 5*y - 9*y**3 = 0 for y.
0, 1
Suppose -322 + 318 = -2*f. Let w(r) be the first derivative of -1/2*r**f + 3 + 0*r + 1/9*r**3. Factor w(a).
a*(a - 3)/3
Let o = -2285 - -9143/4. Let -3/2 + 3/4*g**2 + o*g = 0. What is g?
-2, 1
Let w(m) be the second derivative of -5*m**4/12 + 20*m**3/3 - 62*m. Factor w(t).
-5*t*(t - 8)
Let h(f) = -f + 2. Let w be h(0). Let p be (-4)/21*(-966)/828 - 0. Suppose -32/9 - 16/9*o - p*o**w = 0. What is o?
-4
Let c(f) = -f + 12. Let n = -10 + 20. Let s be c(n). Factor v**3 + 3*v**3 - 2 - 4*v + s.
4*v*(v - 1)*(v + 1)
Let j be (-1080)/180 - (-11 - -1). Suppose 0 + 30*f**3 - 39/2*f**2 + 3*f - 27/2*f**j = 0. Calculate f.
0, 2/9, 1
Factor w**2 + 2 + 2472*w - 2 - 2534*w.
w*(w - 62)
Let z(a) = -5*a**4 + 105*a**3 - 366*a**2 + 334*a + 48. Let q(w) = 55*w**4 - 1155*w**3 + 4025*w**2 - 3675*w - 520. Let p(u) = 6*q(u) + 65*z(u). Factor p(k).
5*k*(k - 17)*(k - 2)**2
Let -5046 + 345/2*l**2 + 4872*l + 3/2*l**3 = 0. Calculate l.
-58, 1
Find s such that 36/7*s - 324/7 - 1/7*s**2 = 0.
18
Determine f so that -1/4*f**2 - 1600 + 40*f = 0.
80
Let f be ((-4)/(-15))/((-4)/(-10)). Let n(p) = -p**2 - 9*p + 92. Let b be n(-15). Factor 2/3 - 2*h - f*h**3 + b*h**2.
-2*(h - 1)**3/3
Let n = 118 + -43. Solve 25 + n*s**2 - 50*s + 13*s + 40*s**3 + 117*s + 15*s**2 + 5*s**4 = 0 for s.
-5, -1
Suppose 0 = -q - 5*w - 15, -3*q + 0*q + 11 = w. Suppose -q = 3*i - 4*i. Solve -r**2 - 1/3*r**3 + 2/3*r**i + 0 - 1/3*r + r**4 = 0 for r.
-1, -1/2, 0, 1
Let p(u) = u**2 - u. Suppose t - 5*t - 18 = -2*q, -4*t = -4*q + 16. Let o(k) = 2*k**2 - 10*k - 4. Let d(b) = q*o(b) + 4*p(b). Factor d(h).
2*(h + 1)*(h + 2)
Suppose 10*c + 114 = 144. Let o(j) be the first derivative of 1/15*j**5 - 7/6*j**2 - 5/12*j**4 + 2/3*j - 7 + j**c. Determine q, given that o(q) = 0.
1, 2
Let o be 36/(-30) + 1/((-15)/(-18)). Let t be 22/10 - (-1 - 0)/(-5). Factor -2/5*h + o - 2/5*h**t.
-2*h*(h + 1)/5
Let n(t) = -4*t**3 + 10*t**2 + 14*t. Suppose 1 = x - 4. Let j(z) = -4*z**3 + 9*z**2 + 13*z. Let a(w) = x*n(w) - 6*j(w). Let a(s) = 0. What is s?
-1, 0, 2
Let x be ((-3)/(-3))/((-28)/(-16)). Suppose 0 = 22*s - 728 + 640. What is w in 0 + 0*w**3 + 4/7*w**2 - x*w**s + 2/7*w**5 - 2/7*w = 0?
-1, 0, 1
Let n be 90/(-126) + ((-156)/(-42) - 3). Factor 2*a**5 + 0 + 1/2*a**3 + 0*a + n*a**2 + 5/2*a**4.
a**3*(a + 1)*(4*a + 1)/2
Let w = -40 + 52. Let m be (w/(-16))/(-1) - 21/36. Suppose m*y**2 + 2/3 - 2/3*y = 0. What is y?
2
Let h(d) be the third derivative of -3/2*d**3 + 0 + 0*d + 4*d**2 - 1/20*d**5 + 3/8*d**4 + 1/360*d**6. Suppose h(y) = 0. Calculate y.
3
Let d(l) = l**2 + 8*l - 26. Let w be d(-9). Let z = w + 19. Find u, given that -9/4 - 3/2*u - 1/4*u**z = 0.
-3
Suppose 0 = j - 3*y - 16, -5*j + 5*y = 2 - 42. Let u be 2/15 - j/(-40)*2. Factor 2/3*f**2 - 1/3*f**3 - 2/3 + u*f.
-(f - 2)*(f - 1)*(f + 1)/3
Factor -1/5*i**3 + 49/5*i**2 - 624/5*i + 576/5.
-(i - 24)**2*(i - 1)/5
Let l(j) be the third derivative of j**9/60480 - j**8/13440 + j**6/1440 - j**5/480 + 5*j**4/6 - 31*j**2. Let b(p) be the second derivative of l(p). Factor b(t).
(t - 1)**3*(t + 1)/4
Let u be -2 + 1*71/1. Let w = -121 - -148. Factor 75 - 24*i**2 + w*i**2 + 32*i - u + 29*i**2.
2*(4*i + 1)*(4*i + 3)
Let d(y) be the third derivative of -y**7/525 - 13*y**6/300 - 41*y**5/150 - 47*y**4/60 - 6*y**3/5 - 7*y**2. Find r, given that d(r) = 0.
-9, -2, -1
Suppose c + 2 = 9. Let l = -3 + 5. Suppose 2*u**2 - u**l - 5*u**2 - c*u + 15*u = 0. Calculate u.
0, 2
Suppose -16/7*g + 0 + 4/7*g**2 = 0. What is g?
0, 4
Let g(s) be the third derivative of s**8/2240 + s**7/280 - s**6/240 - 3*s**5/40 - 7*s**4/24 + 5*s**2. Let n(y) be the second derivative of g(y). Factor n(q).
3*(q - 1)*(q + 1)*(q + 3)
Let u = 8678 + -8674. Factor -12/13*l**3 - 16/13*l**u - 6/13*l**5 + 0 + 2/13*l + 0*l**2.
-2*l*(l + 1)**3*(3*l - 1)/13
Let y be ((-3)/2)/(10 - 9 - 2). Let s(j) be the third derivative of y*j**4 - 1/70*j**7 + 0*j + 0 + 1/10*j**5 - 1/10*j**6 - 9/2*j**3 + 9*j**2. Factor s(v).
-3*(v - 1)**2*(v + 3)**2
Let x = 2/3807 - -7580/64719. Suppose -x*n - 6/17 + 2/17*n**3 + 6/17*n**2 = 0. Calculate n.
-3, -1, 1
Let s(v) be the second derivative of 0*v**2 + 27*v + 2/21*v**7 + 1/3*v**4 - 1/5*v**5 + 0*v**3 + 0 - 2/15*v**6. Suppose s(g) = 0. What is g?
-1, 0, 1
Let b(n) = 106*n - 633. Let g be b(6). Factor 3/4*x**2 + 0 - 3/2*x + 3/4*x**g.
3*x*(x - 1)*(x + 2)/4
Determine y, given that -132*y - 5*y**4 - 60*y**3 + 32*y + 646 - 271 - 210*y**2 = 0.
-5, -3, 1
Let b(h) be the first derivative of 5*h**4/8 - 35*h**3/3 + 30*h**2 - 89. Factor b(p).
5*p*(p - 12)*(p - 2)/2
Let j be (-138)/(-390) - (-4)/(-26). Let r = 1/8 - -3/40. Factor r*f**2 + j - 2/5*f.
(f - 1)**2/5
Suppose 0 = 3*m + 3*w - 3, 5*m + 2*w - 9 = -w. Suppose 0 = 4*b - 4*v - 4, v - 11 = -m*b - 0*b. Factor 5/2*o**2 + 0 - 1/2*o**4 + 3/2*o**b - 1/2*o**5 + o.
-o*(o - 2)*(o + 1)**3/2
Let c(j) be the first derivative of -2*j**5/5 + 9*j**4/2 - 50*j**3/3 + 27*j**2 - 20*j - 30. Determine n, given that c(n) = 0.
1, 2, 5
Suppose -20*l = 383 - 383. Solve 4/7*f**3 + 0*f**2 + l*f + 0 - 4/7*f**4 = 0 for f.
0, 1
Let g(d) be the first derivative of 2*d**5/25 - d**4/2 + 2*d**3/5 + d**2 - 8*d/5 + 354. Determine f so that g(f) = 0.
-1, 1, 4
Let y(l) be the first derivative of -l**6/480 + l**5/8 - 25*l**4/8 + 11*l**3/3 + 9. Let x(r) be the third derivative of y(r). Let x(h) = 0. What is h?
10
Let w(u) be the second derivative of -u**5/510 - 3*u**4/34 - 27*u**3/17 - 2*u**2 + 19*u. Let l(g) be the first derivative of w(g). Factor l(h).
-2*(h + 9)**2/17
Suppose 2*p = -8*c + 3*c - 34, 3*c = 5*p + 85. Let r = p - -17. Factor r - 1/2*n**2 + 0*n.
-n**2/2
Let n(f) = 5*f**5 + 6*f**4 + 3*f**3 - 6*f**2 - 2*f. Let c(d) = 18*d**5 + 17*d**4 + 10*d**3 - 17*d**2 - 7*d. Let s(j) = -2*c(j) + 7*n(j). What is m in s(m) = 0?
-1, 0, 1, 8
Suppose -5680/7*y + 2400/7 - 1136/7*y**2 + 888/7*y**3 + 5/7*y**5 - 122/7*y**4 = 0. What is y?
-2, 2/5, 6, 10
Let b(f) be the third derivative of f**7/840 + 7*f**6/480 + f**5/24 - f**2 + 68*f. Factor b(g).
g**2*(g + 2)*(g + 5)/4
Let n(g) = -g**3 - 4*g**2 + g. Let p(f) = 8*f**3 + 48*f**2 + 80*f + 72. Let c(r) = -4*n(r) - p(r). Factor c(b).
-4*(b + 2)*(b + 3)**2
Let l(j) = 11*j**3 + 16*j**2 - 26*j - 40. Suppose -3*g - 18 = 15. Let b(x) = -21*x**3 - 31*x**2 + 51*x + 80. Let p(w) = g*l(w) - 6*b(w). What is t in p(t) = 0?
-2, 2
Let x(c) = c - 1. Let n(p) = -9*p**3 - 38*p**2 - 38*p - 14. Suppose -2*s + t - 25 = 3*s, 3*s + 15 = -2*t. Let l(m) = s*n(m) + 30*x(m). Factor l(k).
5*(k + 2)**2*(9*k + 2)
Let g = 167 - 162. Factor -6 - 5*h**2 + g - 19 - 10 - 25*h.
-5*(h + 2)*(h + 3)
Suppose 0 = -3*t + 2*t + 4*f - 10, 14 = t + 2*f. Let p(s) be the first derivative of 0*s**4 + 0*s**2 + 0*s - t - 2/15*s**5 + 2/9*s**3. Solve p(q) = 0.
-1, 0, 1
Let w(h) be the first derivative of -4*h**3/27 + 2*h**2/3 - 8*h/9 - 163. Determine m so that w(m) = 0.
1, 2
Let k(l) be the first derivative of 2*l**2 - 2*l**3 + l**4 - 1/5*l**5 - l - 3. Let k(t) = 0. What is t?
1
Solve 132*o**3 - 132*o**2 + 51*o - 22*o**4 - 5*o**5 - 11*o - 6*o**4 + o**5 - 8*o**5 = 0.
-5, 0, 2/3, 1
Let 0*o + 0 - 1/2*o**3 - 1/2*o**2 = 0. What is o?
-1, 0
Let q be -5 + 300/24 - 18/3. Factor -3/2 - 3/2*h + q*h**3 + 3/2*h**2.
3*(h - 1)*(h + 1)**2/2
Let j be ((-104)/(-130) - 21/(-5)) + -3. Factor -98/3*v**4 + 64/3 - 20/3*v**j + 343/3*v**5 + 208/3*v - 497/3*v**3.
(v - 1)**2*(7*v + 4)**3/3
Let w be (-208)/468*(-30)/100. Factor 2/15*d**4 + w*d + 0 + 2/5*d**3 + 2/5*d**2.
2*d*(d + 1)**3/15
Let n be (0/1)/(19 + -20). Find h, given that h**3 - 1/5*h**4 - 7/5*h**2 + n + 3/5*h = 