g + 3*g**q. Let z(l) = -l**3 - 5*l**2 - 7*l + 7. Let r(n) = -21*o(n) - 3*z(n). Let r(j) = 0. What is j?
0, 2
Let h(u) be the second derivative of -u**7/490 + u**5/140 - 15*u**2 - 23*u. Let l(t) be the first derivative of h(t). Factor l(n).
-3*n**2*(n - 1)*(n + 1)/7
Let v be 120 - 116 - (48/27 - -2). Factor 0 + 4/9*n**2 - 2/9*n**3 - v*n.
-2*n*(n - 1)**2/9
Let a(c) = c**2 + c + 1. Suppose 0 = 5*i + 10, -2*b - 8 = 5*i + 18. Let t(n) = 4*n**2 + 32*n - 28. Let q(s) = b*a(s) + t(s). Solve q(d) = 0.
3
Let f be (-4)/(-14) + 132/28. Let i(w) be the second derivative of -1/2*w**4 + 0*w**3 + 0 - 4*w - 1/10*w**f + 4*w**2. What is k in i(k) = 0?
-2, 1
Let p = 1 - -4. Let v(l) = p - l - 2*l**3 - 5*l - 8*l**2 + 8*l**3 + 3. Let o(w) = w**4 + 5*w**3 - 9*w**2 - 5*w + 8. Let q(n) = 2*o(n) - 3*v(n). Solve q(c) = 0.
-1, 1, 2
Let f = -244 - -247. Let i be (1/(1/(-1)))/(f/(-2)). Factor -2/3*h + 4/3 - i*h**2.
-2*(h - 1)*(h + 2)/3
Let h(d) be the second derivative of -11*d**4/6 + 64*d**3/3 + 12*d**2 + 2*d + 62. Suppose h(y) = 0. Calculate y.
-2/11, 6
Let m(l) be the third derivative of -l**5/30 + 5*l**4/2 + 31*l**3/3 - 22*l**2. Solve m(x) = 0 for x.
-1, 31
Let i(r) be the third derivative of r**8/5040 - r**7/315 + r**6/45 - 3*r**5/10 + 20*r**2. Let w(t) be the third derivative of i(t). Factor w(a).
4*(a - 2)**2
Suppose -241*u - 2 = -245*u + 6. Determine k so that -u*k**2 + 1/2*k**3 + 2 - 1/2*k = 0.
-1, 1, 4
Suppose 8*s - 9*s - 16 = 0. Let r = 19 + s. Factor 0*w**3 + 27 + 9*w - 15*w**2 + 8*w**r - 5*w**3.
3*(w - 3)**2*(w + 1)
Let q = -14677/2001 - -1/667. Let s = 8 + q. Find w such that -2/3*w**2 + 0 + s*w**5 + 2/3*w**4 + 0*w - 2/3*w**3 = 0.
-1, 0, 1
Let r = -82 - -85. Let t be r/4 - (-20)/(-80). Factor -1/2*p + 0 - t*p**2.
-p*(p + 1)/2
Suppose -75*g**2 - 58*g**2 + 0*g + 136*g**2 - 6*g - 24 = 0. What is g?
-2, 4
Let b(l) = l**3 + 156*l**2 - 1591*l + 1504. Let o(x) = -2*x**3 - 156*x**2 + 1590*x - 1516. Let r(d) = 6*b(d) + 5*o(d). Factor r(s).
-4*(s - 19)**2*(s - 1)
Let g(c) be the third derivative of 1/315*c**7 + 0 + 1/60*c**5 + 0*c - 1/18*c**3 + 1/72*c**6 - 25*c**2 - 1/72*c**4. Factor g(r).
(r + 1)**3*(2*r - 1)/3
Let s = -23 + 25. Factor q**4 + 0*q**4 - 5*q**3 + s*q + 5*q**2 + 9*q**3.
q*(q + 1)**2*(q + 2)
Let l(u) = u**2 - u + 1. Let h be (-21)/(-6)*36/21. Let w(z) = 6*z - 2 - 2 - 2 + 2*z**3 - h*z**2. Let i(t) = -6*l(t) - w(t). Let i(n) = 0. Calculate n.
0
Let w(r) = -3*r**4 - 22*r**3 - 28*r**2 - 8*r - 4. Let p(g) = -5*g**4 - 44*g**3 - 56*g**2 - 16*g - 10. Let n(t) = -2*p(t) + 5*w(t). Solve n(k) = 0 for k.
-2, -2/5, 0
Let k(b) be the first derivative of 1/45*b**5 + 0*b + 1/18*b**4 - 4/9*b**2 - 4/27*b**3 + 34. Determine q, given that k(q) = 0.
-2, 0, 2
Let q(a) be the second derivative of 0 - 2/3*a**3 + 0*a**2 - 12*a - 1/3*a**4. Solve q(s) = 0 for s.
-1, 0
Suppose 0 = -3*n - 3*h - 3, h + 9 = n - 0*h. Suppose -3*y + t = -10, n*t = -5*y - 0*t + 11. Solve -3*v**3 - 3 + v**2 + 4*v**2 - 2*v**2 + y*v = 0.
-1, 1
Let m(a) be the third derivative of a**8/1512 + 2*a**7/315 + 7*a**6/270 + 8*a**5/135 + a**4/12 + 2*a**3/27 + 37*a**2. Factor m(z).
2*(z + 1)**4*(z + 2)/9
Let u(t) = t**3 - t**2 + 1. Let f(a) = -9*a**3 - 29*a**2 - 24*a - 32. Let v(y) = f(y) + 4*u(y). Let n(b) be the first derivative of v(b). What is w in n(w) = 0?
-4, -2/5
Let g(d) be the third derivative of d**5/330 - 5*d**4/44 + 56*d**3/33 - 3*d**2 + 15*d. Factor g(a).
2*(a - 8)*(a - 7)/11
Find p such that 9*p**2 - 36*p**4 + 9*p**3 + 39*p**4 + 6*p**3 - 3*p**3 = 0.
-3, -1, 0
Let s be ((-7)/2)/(20/(-200)). Let z = s - 33. Let -2*h - 2/5*h**3 - 8/5*h**z - 4/5 = 0. Calculate h.
-2, -1
Let c(k) be the second derivative of k**6/20 - 3*k**5/10 + 3*k**4/8 - 2*k + 66. Factor c(q).
3*q**2*(q - 3)*(q - 1)/2
Let c(x) be the third derivative of x**7/945 - 11*x**6/540 - 14*x**2. Let c(g) = 0. Calculate g.
0, 11
Let a(m) = -9*m**4 - 15*m**3 - 99*m**2 - 21*m - 48. Let j(h) = 2*h**4 + 3*h**3 + 20*h**2 + 4*h + 10. Let f(r) = -5*a(r) - 24*j(r). Factor f(d).
-3*d*(d - 3)*(d + 1)**2
Let k(h) be the first derivative of h**3 + 3*h**4 - 9/5*h**5 + 0*h + 2 - 3*h**2. Solve k(g) = 0.
-2/3, 0, 1
Let n(m) be the third derivative of m**6/120 - m**5/15 + 5*m**4/24 - m**3/3 + 422*m**2. Solve n(v) = 0 for v.
1, 2
Let l(k) be the third derivative of k**7/2100 - k**6/90 + 8*k**5/75 - 8*k**4/15 + 3*k**3/2 + 13*k**2. Let p(m) be the first derivative of l(m). Factor p(f).
2*(f - 4)**2*(f - 2)/5
Let f(a) be the first derivative of a**7/1260 - a**6/180 + a**5/90 + 11*a**3/3 + 1. Let v(c) be the third derivative of f(c). What is r in v(r) = 0?
0, 1, 2
Let x = 156 - -23. Factor 4*l**2 - x + 204 + l**2 - 30*l.
5*(l - 5)*(l - 1)
Suppose -122*a**2 - 2/3*a**3 - 453962/3 - 7442*a = 0. What is a?
-61
Find p such that 534*p + 132*p**3 + 216 + 16*p**4 + 2/3*p**5 + 1304/3*p**2 = 0.
-9, -4, -1
Let y be (((-9)/105)/3)/(-1). Let f(q) be the third derivative of 0*q - 1/21*q**3 - y*q**5 + 1/168*q**6 - 2*q**2 + 3/56*q**4 + 0. Suppose f(g) = 0. Calculate g.
2/5, 1
Suppose u - 13 + 26 = 0. Let c = u + 17. Determine w so that 12*w**2 + 4*w**4 + 12*w**3 - 3*w**4 - 5*w**4 + 8*w**4 + c*w = 0.
-1, 0
Let g(a) be the third derivative of -25*a**8/336 + 38*a**7/63 - 16*a**6/9 + 20*a**5/9 - 10*a**4/9 - 196*a**2. Solve g(v) = 0.
0, 2/5, 2/3, 2
Let v(a) be the third derivative of a**7/1575 + a**6/90 + 4*a**5/75 - 8*a**4/45 - 128*a**3/45 - 2*a**2 - 102. What is m in v(m) = 0?
-4, 2
Let n be (-6)/115 - (-6)/15. Let u = n + -1/69. Factor 1/3*r**5 + 0 - 1/3*r**2 + 0*r + u*r**4 - 1/3*r**3.
r**2*(r - 1)*(r + 1)**2/3
Let i = 30 - 26. Let p(j) = 2*j**4 + 8*j**3 - 2*j**2 - 4*j. Let u(b) = -5*b**4 - 17*b**3 + 5*b**2 + 8*b. Let r(h) = i*u(h) + 9*p(h). Let r(z) = 0. What is z?
-1, 0, 1, 2
Suppose 4*n + 196 = -4*r, -3*n = -3*r - 7*n - 147. Let h = 52 + r. Factor 2/7*l**h + 0 + 2/7*l**2 + 0*l.
2*l**2*(l + 1)/7
Let n(p) = -3*p**5 + 9*p**4 + 7*p**3 - 16*p**2 - 5*p + 7. Let g(a) = -a**5 - a**4 + a**3 + a + 1. Let v(h) = g(h) + n(h). Find q, given that v(q) = 0.
-1, 1, 2
Let s be (-15)/5 + (48 - 0). Factor -5*n**2 - 47*n + s + 57*n - 50*n.
-5*(n - 1)*(n + 9)
Let b(l) be the second derivative of l**5/4 - 5*l**4/6 - 25*l**3/6 + 15*l**2 - 26*l - 1. What is h in b(h) = 0?
-2, 1, 3
Let g(y) be the first derivative of -y**5/20 - y**4/4 + y**3/12 + y**2/2 + 645. Factor g(q).
-q*(q - 1)*(q + 1)*(q + 4)/4
Let v = 3 + -1. Suppose 5*b + 5 - 35 = -3*k, -v*k = -b - 7. Factor 4 - b*q**2 + 6*q + 2 + q**2 + 2.
-2*(q - 4)*(q + 1)
Let h(i) be the second derivative of i**7/10080 + i**6/2880 - i**5/240 - 3*i**4/2 + 42*i. Let f(k) be the third derivative of h(k). Find r, given that f(r) = 0.
-2, 1
Let g = 136/63 + -8/21. Let 14/9*p**3 + 2/9*p**4 + 4*p**2 + g + 40/9*p = 0. Calculate p.
-2, -1
Suppose 2*u - 4*r = 5*u - 30, 2*r = 2*u - 6. Let o(z) be the first derivative of -z - 1/2*z**2 - 1/12*z**3 - u. Solve o(k) = 0 for k.
-2
Let t(q) = 7*q**2 + 401*q + 118. Let h be t(-57). Suppose -4*s**2 - 2/3*s**h - 2/3 + 8/3*s**3 + 8/3*s = 0. What is s?
1
Suppose 0 = -4*c - 2*s - 66, -2*c + 5*s - 73 = 2*c. Let a = 1 - c. Solve a*w**2 - 29*w**2 + 14*w**2 - 3*w + 6*w**3 = 0.
-1, 0, 1/2
Let z(c) = -c**4 - c**2 - 2*c + 1. Let d(g) = -5*g**4 + 11*g**3 + 23*g**2 - 19*g - 22. Let x(h) = -d(h) + 4*z(h). Solve x(m) = 0.
-2, -1, 1, 13
Let y = 86989/6 + -14497. Factor b + 1/6*b**2 - y.
(b - 1)*(b + 7)/6
Solve 9*l**2 - 26*l**4 + 12*l**4 - 2*l**5 - 24*l**3 - l**2 + 32*l = 0.
-4, -2, 0, 1
Let r(a) = -2*a**2 + 36*a + 41. Let h be r(19). Suppose 0*l + 0 + 3/7*l**4 + 0*l**2 - 3/7*l**h = 0. What is l?
0, 1
Let l be 30/12 + 60/40. Solve 0 - 4/7*a - 2*a**3 - 4/7*a**l - 2*a**2 = 0 for a.
-2, -1, -1/2, 0
Let h(n) be the second derivative of 7/12*n**4 + 0 + 0*n**5 - n + 0*n**6 + 1/8820*n**7 + 0*n**3 + 0*n**2. Let p(f) be the third derivative of h(f). Factor p(l).
2*l**2/7
Let z(l) = -3*l**4 + 2*l**3 - 2*l**2 - 2*l + 2. Let d(i) = -i**2 - 56 - i**4 - 2*i + i + i**3 + 57. Let o(v) = 2*d(v) - z(v). Factor o(y).
y**4
Let a(w) = -8*w**3 - 10*w**2 - 18*w + 25. Let c(q) = -q**3 + 2*q**2 + q + 3. Let i(x) = -2*a(x) + 10*c(x). Factor i(d).
2*(d + 2)*(d + 5)*(3*d - 1)
Factor -24*z - 7*z**2 + 2*z**3 + 9*z**2 + z**3 - 8*z**2.
3*z*(z - 4)*(z + 2)
Find o such that -197/3*o**2 + 184/3*o - 5*o**3 + 28/3 = 0.
-14, -2/15, 1
Suppose -2*z = -4, 2*z - 13 = -3*n - 0*z. Let x = 