= -64*g, 0 = 5*g - 25. Suppose 0 = -4*n + 2*v + 86, -2*n = -n + 2*v - 14. Factor 4*k - 2*k + k - 6 + 26*k**2 - n*k**2 - t*k**3.
-3*(k - 2)*(k - 1)*(k + 1)
Let i(x) = 17*x**2 + 91*x - 88. Let u(q) be the second derivative of -7*q**4/6 - 15*q**3 + 44*q**2 + 2*q - 81. Let c(b) = 4*i(b) + 5*u(b). Solve c(v) = 0 for v.
-44, 1
Suppose 3*z + 10 = c, 4*z = -c + 61 - 16. Suppose c = 18*t - 13*t. Let t*m - 10*m**2 - 3*m + 14*m**2 + 8 + 10*m = 0. What is m?
-2, -1
Let z = 46528 + -325663/7. Factor -75/7*w + 24/7 + 81/7*w**2 - z*w**3 + 3/7*w**4.
3*(w - 8)*(w - 1)**3/7
Let d(n) = 10*n**2 + 92*n - 90. Let g = 395 + -401. Let b(f) = 19*f**2 + 184*f - 181. Let a(x) = g*b(x) + 11*d(x). Factor a(u).
-4*(u - 1)*(u + 24)
Let g(t) be the first derivative of -t**4/66 + 10*t**3/33 - 29*t + 70. Let y(x) be the first derivative of g(x). Let y(s) = 0. What is s?
0, 10
Let c(q) = -q**2 - q + 3. Let z(r) = 7*r**2 - 1964*r + 322740. Let p(l) = -4*c(l) - z(l). Suppose p(n) = 0. What is n?
328
Factor -214 + 61 + 5*u**2 - 47*u - 21 + 54 - 3*u.
5*(u - 12)*(u + 2)
Suppose 5*h + 44 = -y, -3*h - 2*h - 98 = 2*y. Let n be (-358)/(-9) + (-12)/y. Determine l so that -n*l**2 - 3*l**3 - 24 + 86*l**2 + 12*l - 40*l**2 = 0.
-2, 2
Let t(d) be the first derivative of -d**6/50 + 7*d**4/20 + 3*d**3/5 - 31*d + 113. Let y(x) be the first derivative of t(x). Solve y(q) = 0.
-2, -1, 0, 3
Let w be (-212)/109 + 20/10. Let l = 315/218 + w. Factor 0*h**2 - 3/2*h + 0 + l*h**3.
3*h*(h - 1)*(h + 1)/2
Let d(p) be the third derivative of p**7/945 + p**6/270 - p**5/90 - p**4/27 + 4*p**3/27 - 3*p**2 - p - 67. Determine x so that d(x) = 0.
-2, 1
Let g(q) = q**2 + 2*q. Let k(p) = -30*p**2 - 13431*p - 5358. Let t(c) = -15*g(c) - k(c). Suppose t(v) = 0. What is v?
-893, -2/5
Let w(o) be the third derivative of o**7/210 - 7*o**6/24 - 28*o**5/15 - 19*o**4/6 - 29*o**2 + 2*o + 5. Factor w(f).
f*(f - 38)*(f + 1)*(f + 2)
Let y(o) be the first derivative of 2*o**6/3 - 28*o**5/5 + 10*o**4 + 8*o**3/3 - 22*o**2 + 20*o - 667. Suppose y(v) = 0. What is v?
-1, 1, 5
Let s(k) = -k**3 - k**2 + k. Let g(h) be the third derivative of -h**6/120 - 41*h**5/60 + 5*h**4/24 - 4*h**2 - h. Let v(p) = -g(p) + 5*s(p). Factor v(w).
-4*w**2*(w - 9)
Let x(h) be the third derivative of h**5/240 + 49*h**4/96 - 25*h**3/12 + 17*h**2 - 25*h. Let x(z) = 0. Calculate z.
-50, 1
Let w be (-1 + 0)*4 + 7002. Let s = -132896/19 + w. What is k in -2/19*k - s*k**2 + 32/19*k**3 + 32/19*k**4 + 4/19 = 0?
-2, -1/4, 1/4, 1
Let t(d) be the third derivative of -d**7/6 - 19*d**6/24 + 13*d**5/12 + 95*d**4/24 - 5*d**3 + 145*d**2 + 2*d + 1. Suppose t(l) = 0. What is l?
-3, -1, 2/7, 1
Let n be -8*21/(-112) - (0/4)/4. Let z(a) be the second derivative of -1/4*a**4 + 0*a**2 - n*a**3 + 0 + 3/10*a**5 + 4*a. Factor z(b).
3*b*(b + 1)*(2*b - 3)
Let i(n) be the first derivative of -n**3/9 + 837*n**2/2 - 7468. Factor i(s).
-s*(s - 2511)/3
Let x(o) be the first derivative of 25*o**3/3 + 6955*o**2/2 + 1390*o - 4504. Find m such that x(m) = 0.
-278, -1/5
Let j(p) be the third derivative of -12 + 0*p**3 + 11/60*p**4 + 1/300*p**5 - p**2 + 0*p. Solve j(x) = 0.
-22, 0
Let k = 1253 + -1765. Let r = -2542/5 - k. Factor -8/5*a + 21/5*a**2 - r*a**3 + 1/5.
-(2*a - 1)*(3*a - 1)**2/5
Suppose -10 = -2*j - 6. Suppose 6*f - f + 2*c - 9 = 0, 12 = 2*f - j*c. Factor -1/4*g + 0*g**2 + 1/4*g**f + 0.
g*(g - 1)*(g + 1)/4
Let w be (2 - 1)/2*22. Suppose -w = 35*r - 81. Find k such that 0 - 2/7*k**r - 4/7*k = 0.
-2, 0
Let p(j) = 4*j**3 + 328*j**2 + 8264*j + 58794. Let b(i) = -2*i + 3. Let d(f) = -2*b(f) - p(f). Determine g, given that d(g) = 0.
-35, -12
Let i(y) be the third derivative of 0 - 5/132*y**4 - 2*y - 3*y**2 + 2/11*y**3 - 1/330*y**5. Find z such that i(z) = 0.
-6, 1
Let p be (-9 - (-351)/63)*-56. Let d be ((-2)/30)/((240/(-15))/p). Let -14/5*f**3 - 16/5 + 0*f**4 + 2/5*f**5 + 24/5*f + d*f**2 = 0. Calculate f.
-2, 1, 2
Let j(s) = s**2 + 6*s - 14. Let l be j(2). Let 26 - 13*x - 150*x**l - 25*x**4 - 21 - 7*x - 115*x**3 + 35 = 0. Calculate x.
-2, -1, 2/5
Let b = -8229 + 8229. Let r(q) be the third derivative of 2/21*q**4 + b*q + 15*q**2 + 1/420*q**6 + 4/21*q**3 + 0 + 1/42*q**5. Let r(a) = 0. What is a?
-2, -1
Let c(b) be the first derivative of 0*b + 2/3*b**3 - 50 - 2*b**2. Factor c(l).
2*l*(l - 2)
Let r be (-5 - 0) + 1 + 0. Let g be (-13)/r - (-5)/(-20). Find k, given that -6*k**5 - 6*k**4 - 13*k**3 + 9*k**5 + 16*k**g = 0.
0, 1
Let z(k) be the second derivative of -k**7/1680 - k**6/60 - 7*k**5/80 + 35*k**4/12 + 24*k + 1. Let l(c) be the third derivative of z(c). Factor l(v).
-3*(v + 1)*(v + 7)/2
Let z(t) be the second derivative of -3*t**5/80 - 41*t**4/16 - 19*t**3/4 + 30*t**2 + 1548*t. Determine u, given that z(u) = 0.
-40, -2, 1
Let v be 1 + 11/(-9) - (-76)/18. Determine i so that -160*i + 150*i**2 - 41*i**4 - 40*i**3 - 41*i**v + 55 + 77*i**4 = 0.
-11, 1
Let s = -359 - -362. Factor -r**2 + 0*r**3 + 9*r**3 - r - 3*r**s - 5*r**3 + r**4.
r*(r - 1)*(r + 1)**2
Let w(s) be the second derivative of -5*s**4/12 + 280*s**3/3 - 7428*s. Factor w(i).
-5*i*(i - 112)
Let k(o) = -o**2 - 3786*o - 3783. Let i be k(-1). Determine p, given that -2/3*p**4 + 1/2*p - 1/6*p**5 + 0 + 2/3*p**i - 1/3*p**3 = 0.
-3, -1, 0, 1
Let q(y) be the second derivative of y**5/70 + 59*y**4/42 + 115*y**3/21 + 57*y**2/7 - 7044*y. Factor q(a).
2*(a + 1)**2*(a + 57)/7
Let j be 39/65*(-30)/(-9). Suppose -2*b**4 + 9*b**2 + j*b**3 - 14*b**3 + 4*b**4 + b**2 = 0. What is b?
0, 1, 5
Suppose 44 = 35*b + 429. Let w be 726/(-297)*6/b. Suppose 1/3*o**2 + 4/3 + w*o = 0. Calculate o.
-2
Let m(p) be the second derivative of -6 - 1/25*p**5 + 578/5*p**2 - 34*p**3 - 11/5*p**4 + 2*p. Factor m(o).
-4*(o - 1)*(o + 17)**2/5
Let y = -18107 + 36217/2. Factor 12 + 21/2*q - y*q**2.
-3*(q - 8)*(q + 1)/2
Let t be 660/(-232) - (27/(-6) + 4). Let w = t - -534/203. Factor -w*v**4 + 0*v**3 + 12/7*v**2 + 6/7 - 16/7*v.
-2*(v - 1)**3*(v + 3)/7
Factor -8*r**2 + 157*r**3 + 171*r**4 - 169*r**4 - 151*r**3 - 24*r.
2*r*(r - 2)*(r + 2)*(r + 3)
Let j = 3753 + -3748. Let v(f) be the second derivative of 3*f + 0*f**2 + 1/210*f**6 + 0*f**3 - 1/28*f**4 + 1/70*f**j + 0. Let v(w) = 0. Calculate w.
-3, 0, 1
Suppose -25 = 5*a + 3*n - 125, -4*n + 88 = 4*a. Let k(u) be the second derivative of -1/48*u**4 - 1/6*u**3 - a*u - 3/8*u**2 + 0. Suppose k(y) = 0. What is y?
-3, -1
Let q be 3/(-9) + 10/3. Suppose 0 = q*y + 2*y - 15. Let 10 - 5*x + y - 19 - x**2 = 0. What is x?
-3, -2
Let w(a) = -10*a + 328. Let y be w(30). Let d be 2 + 7 + (-245)/y. Factor -3/4*f**3 + 1/4*f**4 + 3/4*f**2 + 0 - d*f.
f*(f - 1)**3/4
Let l(v) = -3*v**2 - 2*v - 5. Let x(s) = -6*s**2 - 45*s - 159. Let g(b) = -3*l(b) + x(b). Solve g(q) = 0.
-3, 16
Let u = 572 + -567. Suppose 6*q + u*k = q, -3*q = k - 4. Find w, given that -q + 8/5*w + 2/5*w**2 = 0.
-5, 1
Let q(n) be the first derivative of -n**5/60 - 13*n**4/24 - n**2/2 + 9*n - 71. Let i(y) be the second derivative of q(y). Solve i(l) = 0 for l.
-13, 0
Let b(q) be the second derivative of -15/14*q**7 + 10 + 0*q**3 - 2*q - 1/4*q**5 + 0*q**2 + 0*q**4 + q**6. Factor b(s).
-5*s**3*(3*s - 1)**2
Factor 1500 + 2100*f + 78*f**3 - 4*f**4 - 177824*f**2 + 7*f**4 + 178499*f**2.
3*(f + 1)*(f + 5)*(f + 10)**2
Suppose -119 = -37*x - 8. Suppose 4*h = x*h + 3*h. Let -1/2*f**3 + 0*f + h*f**2 + 0 = 0. What is f?
0
Let t = -1978 - -1980. Suppose y - 32*u = -36*u + 11, -3*y + 5 = -t*u. Determine k, given that 0 - 2/11*k + 16/11*k**y + 2/11*k**2 - 24/11*k**4 = 0.
-1/3, 0, 1/2
Let l be 3/(-7) - (-851)/777. Let j(b) be the second derivative of l*b**3 - 6*b - 1/48*b**4 + 0 - 8*b**2. Solve j(a) = 0 for a.
8
Let c(k) be the first derivative of 0*k + 3/4*k**4 - 3/2*k**2 + 0*k**3 + 116. Factor c(z).
3*z*(z - 1)*(z + 1)
Let z(c) be the first derivative of c**5/160 + 17*c**4/64 - 9*c**3/8 + c**2/2 + 41*c + 50. Let t(u) be the second derivative of z(u). Factor t(y).
3*(y - 1)*(y + 18)/8
Suppose 6*q = -9*q. Let y(g) be the second derivative of 0*g**3 + 1/60*g**5 - 15*g - 1/36*g**4 + 0*g**2 + q. Factor y(b).
b**2*(b - 1)/3
Factor 0 - 475/7*n**3 - 9/7*n**5 - 717/7*n**4 - 79/7*n**2 + 0*n.
-n**2*(n + 79)*(3*n + 1)**2/7
Let z(d) be the first derivative of -10/3*d**3 + 0*d - 269 - 5/4*d**4 + 0*d**2. Factor z(v).
-5*v**2*(v + 2)
Let p(h) be the first derivative of h**3/3 - h**2 - 3*h - 5587. Let l be (-1