*k**3 - 3*k**2 - 8*k - 2. Let s(c) = -a(c) + 2*w(c). Factor s(f).
(f + 1)*(f + 2)**2
Let k(v) be the first derivative of -v**3/3 - 9*v**2/2 - 14*v + 221. Suppose k(n) = 0. Calculate n.
-7, -2
Factor 96/7 - 10/7*f**2 + 2/7*f**3 - 16/7*f.
2*(f - 4)**2*(f + 3)/7
Suppose 26*r**2 - 2*r - 32*r**2 + 21*r**2 - 4*r**4 - 12*r**3 + 8*r - 5*r**4 = 0. What is r?
-2, -1/3, 0, 1
Suppose 30 + 68*q**2 + 36 - 8*q**3 + 9 + 7*q**3 - 130*q + q**4 - 13*q**3 = 0. What is q?
1, 3, 5
Factor -1/11*u**5 - 1/11*u**4 + 1/11*u**3 + 1/11*u**2 + 0 + 0*u.
-u**2*(u - 1)*(u + 1)**2/11
Let i = -2/53 + 163/106. Let k(f) be the second derivative of 1/40*f**6 - 4*f - i*f**2 + 3/16*f**4 + 1/2*f**3 - 3/20*f**5 + 0. Factor k(j).
3*(j - 2)**2*(j - 1)*(j + 1)/4
Let u be (30/18 - 1) + 2/6. Suppose -8 = -3*a - a. Determine q, given that 9 - 2 - 3*q**a - u + 6*q - 3*q = 0.
-1, 2
Let q(i) be the second derivative of -3*i**5/20 + 5*i**4/4 - 4*i**3 + 6*i**2 - 3*i + 6. What is d in q(d) = 0?
1, 2
Let r(y) be the second derivative of -y**4/72 + 4*y**3/3 - 48*y**2 + 79*y. Factor r(l).
-(l - 24)**2/6
Let i(y) be the first derivative of y**7/168 - y**6/24 + y**5/12 + 20*y**3/3 - 14. Let x(p) be the third derivative of i(p). Factor x(o).
5*o*(o - 2)*(o - 1)
Let v(l) be the first derivative of 2*l**5/5 + 8*l**4/5 + 26*l**3/15 + 2*l**2/5 + 1. Find w, given that v(w) = 0.
-2, -1, -1/5, 0
Determine z so that -z**2 - 509 - 76*z + 148*z - 686 - 101 = 0.
36
Determine t, given that -150/7*t + 108/7 + 44/7*t**2 - 2/7*t**3 = 0.
1, 3, 18
Suppose 2*i + 31 - 87 = 0. Let b = i + -28. Factor -1/3*k**4 + 0 + b*k + 0*k**2 - 1/3*k**3.
-k**3*(k + 1)/3
Let a(l) be the second derivative of -1/210*l**7 - 43/100*l**5 - 73/60*l**4 + 23*l + 0 - 28/15*l**3 - 11/150*l**6 - 8/5*l**2. Find u such that a(u) = 0.
-4, -1
Let n(r) be the third derivative of -r**7/420 - r**6/90 - r**5/60 - 4*r**3/3 - 3*r**2. Let f(m) be the first derivative of n(m). Let f(d) = 0. What is d?
-1, 0
Suppose -3*p = 2*p - 20. Let d be (p + -2)/4*4. Factor 9 - h**d + 6*h - h**2 + 3*h**2.
(h + 3)**2
Let 2*a**4 - 4323639*a - 24*a**2 - 2*a**3 + 4323639*a = 0. What is a?
-3, 0, 4
Suppose 3*h + 3*l = 3, 4*h - 5*l = 29 + 2. Solve -5*s - 43*s**h - 39*s**4 - 3*s - s**5 + 83*s**4 + 6*s**3 - 4*s**2 = 0 for s.
-2, -1, 0, 2
Factor 4 + 20/3*u + 3*u**2 + 1/3*u**3.
(u + 1)*(u + 2)*(u + 6)/3
Let d(j) = 2*j**3 - 8*j**2 - 3*j. Let o(x) = -5*x**3 + 25*x**2 + 10*x. Let a be (15/(-2))/((-45)/60). Let q(f) = a*d(f) + 3*o(f). Solve q(y) = 0 for y.
0, 1
Suppose -x = -3*c + 6, -5*x - c = 3*c - 65. Suppose -3*l = -x, -k - 2*l - 3 = -2*k. Factor 7*g + 0 + k - 35*g + 12*g**2 - 1.
4*(g - 2)*(3*g - 1)
Let n = 29/9 + -5/9. Let y(v) be the first derivative of -1/3*v**6 + 5 + 0*v + n*v**3 - 3*v**4 - v**2 + 8/5*v**5. Determine h, given that y(h) = 0.
0, 1
Factor 344*h - 2948*h + 272*h**2 - 4*h**3 - 2020*h.
-4*h*(h - 34)**2
Factor 2/3*a**4 + 16/3*a - 2 - 4*a**2 + 0*a**3.
2*(a - 1)**3*(a + 3)/3
Let r(s) be the second derivative of -s**4/84 + s**3/3 + 51*s**2/14 - 142*s. Factor r(l).
-(l - 17)*(l + 3)/7
Let n be 3/2*18/9. Let d(g) = -g**2 + 5*g - 3. Let i be d(n). Factor 2 + 9*b**2 + i*b - 7*b**2 + b.
2*(b + 1)**2
Let c(l) be the second derivative of -2*l**5/5 + 7*l**4/3 - 16*l**3/3 + 6*l**2 + 201*l. Factor c(q).
-4*(q - 1)**2*(2*q - 3)
Let z(t) be the first derivative of t**5/25 + 2*t**4/15 - 2*t**3/15 - 4*t**2/5 - 12*t - 16. Let n(o) be the first derivative of z(o). Solve n(b) = 0.
-2, -1, 1
What is c in -1512*c**3 + 0 - 2/5*c**5 - 18620*c**2 - 17150*c - 212/5*c**4 = 0?
-35, -1, 0
Let j(u) = -u**4 + u**2 + u + 1. Let n(g) = -7*g**4 - 8*g**3 + 3*g**2 + 17*g + 5. Let f(y) = 10*j(y) - 2*n(y). Determine l, given that f(l) = 0.
-3, -2, 0, 1
Let y be (-5 - 2)/((-2)/6). Let c be (-36)/(-45) + y/(-15) + 1. Factor 0 + 2/5*z + c*z**3 - 4/5*z**2.
2*z*(z - 1)**2/5
Let m be 0 + 0 - (24/(-96) + (-7)/4). Find p, given that 13*p - 7/2*p**m + 4 = 0.
-2/7, 4
Let b(o) be the third derivative of -o**8/3360 - o**7/2100 + o**6/150 + o**5/75 - o**4/15 - 4*o**3/15 - 172*o**2. Suppose b(p) = 0. Calculate p.
-2, -1, 2
Let h(d) be the second derivative of d**6/1980 - d**4/132 - d**3 - 15*d. Let n(b) be the second derivative of h(b). Factor n(a).
2*(a - 1)*(a + 1)/11
Let g = 137 + -135. Let w(n) be the first derivative of 0*n**g + 4*n + 10 - 4/3*n**3. Factor w(v).
-4*(v - 1)*(v + 1)
Let p(h) be the second derivative of h**4/30 + 16*h**3/15 + 28*h**2/5 + 745*h. Factor p(x).
2*(x + 2)*(x + 14)/5
Let p(o) be the second derivative of 729*o**7/98 - 243*o**6/5 + 3726*o**5/35 - 596*o**4/7 + 232*o**3/7 - 48*o**2/7 - 23*o. Suppose p(j) = 0. Calculate j.
2/9, 2
Let y(a) be the second derivative of a**5/60 + a**4/12 + a**3/6 + 3*a**2/2 + 2*a. Let x(r) be the first derivative of y(r). Solve x(h) = 0 for h.
-1
Suppose -5*h**2 + 4*h**2 - 428 + 241 + 255 + 67*h = 0. Calculate h.
-1, 68
What is j in 16/9*j**3 - 2/9*j**5 + 0*j + 0 + 0*j**2 - 14/9*j**4 = 0?
-8, 0, 1
Let w = -46/41 - -389/164. Let j(z) be the second derivative of -4*z**3 + 0 - 4*z + w*z**4 + 6*z**2 - 3/20*z**5. Factor j(x).
-3*(x - 2)**2*(x - 1)
Let m be (5/(13 - 3))/(1*(-10)/(-24)). Suppose -9/5*i + 0 + m*i**3 - 3*i**2 = 0. Calculate i.
-1/2, 0, 3
Let -104/7*w - 20*w**4 - 18/7*w**5 - 382/7*w**3 + 48/7 - 412/7*w**2 = 0. What is w?
-3, -2, -1, 2/9
Suppose -6*n + 2*n = -11*n. Let v(r) be the second derivative of n - 1/6*r**4 + 1/3*r**3 + r**2 - 1/10*r**5 + 5*r. Determine y so that v(y) = 0.
-1, 1
Factor 88/9*o**4 + 28/3*o**2 + 0*o - 2/9*o**5 - 170/9*o**3 + 0.
-2*o**2*(o - 42)*(o - 1)**2/9
Let g(v) = 2*v**3 - 82*v**2 - 3*v + 126. Let o be g(41). Factor 9/7*u**3 + o*u**2 + 16/7*u + 4/7.
(u + 1)*(3*u + 2)**2/7
Let v be ((-180)/16)/((99/36)/((-2)/3)). Factor 2/11*y**2 + v*y**3 + 14/11*y**5 - 4/11*y + 38/11*y**4 + 0.
2*y*(y + 1)**3*(7*y - 2)/11
Suppose -2*o + 741 = 735. Let s(t) be the first derivative of 3/4*t**4 + 5*t**o - 5 + 9*t + 21/2*t**2. Let s(f) = 0. What is f?
-3, -1
Let q(c) be the third derivative of 0*c - 1/6*c**4 + 0 + 1/12*c**5 - 22*c**2 - 2/3*c**3 - 1/210*c**7 + 1/24*c**6 - 1/336*c**8. Suppose q(s) = 0. Calculate s.
-2, -1, 1, 2
Suppose 5*r + 2*u + 3*u - 20 = 0, 0 = 2*r - 4*u + 16. Let t be (-1 - r) + 4/1. Solve -2*n + 5*n**4 + 4*n**2 + 4*n**t - 3*n**2 + 4*n**3 = 0.
-1, 0, 2/5
Find u such that 208/5 + 4/5*u**3 + 296/5*u + 93/5*u**2 - 1/5*u**4 = 0.
-4, -1, 13
Suppose -2*u = 5*w - 7, -w + 19 = 4*w - u. Let i be (15/(-20)*-3)/w. Let 1/4*f**4 + 1/2*f**2 - i*f**3 + 0*f + 0 = 0. What is f?
0, 1, 2
Factor -32*d - 151*d**5 + 32*d - 4*d**4 + 6*d**3 + 149*d**5.
-2*d**3*(d - 1)*(d + 3)
Let a(d) be the second derivative of d**6/120 + d**5/20 + d**4/16 - d**3/6 - d**2/2 + 31*d. Suppose a(s) = 0. What is s?
-2, -1, 1
Let o(h) be the first derivative of -3*h**5/5 - 15*h**4/4 - 143. Factor o(k).
-3*k**3*(k + 5)
Let p(o) = o**2 - 14*o + 279. Let r(d) = -4*d + 2. Let m(g) = -p(g) - 5*r(g). Factor m(w).
-(w - 17)**2
Factor 16/5 + 4/5*l - 2/5*l**2.
-2*(l - 4)*(l + 2)/5
Let c(v) be the second derivative of -v**5/90 + 4*v**4/27 - 13*v**3/27 + 2*v**2/3 + 28*v. Factor c(q).
-2*(q - 6)*(q - 1)**2/9
Suppose 14*t = 10*t + 188. Factor t + 0*v**2 - 107 + v**2 + 56.
(v - 2)*(v + 2)
Let i = 10498 + -10495. Solve 21/2*o - 21/2*o**i + 4 - 11/4*o**2 - 5/4*o**4 = 0.
-8, -1, -2/5, 1
Let n = 169/20 + -41/5. Suppose 1/4*g + n*g**2 + 0 = 0. Calculate g.
-1, 0
Let c = 9303/2 + -2371937/510. Let q = c - -2/85. Suppose 4/3*o**2 - 7/3*o - q = 0. What is o?
-1/4, 2
Suppose 39*m = 38*m + 7. Let q be 5/(-1) + 37/m. Suppose -q*t**2 - 4/7 - 6/7*t = 0. Calculate t.
-2, -1
Suppose 3*k + 4*c + 0*c - 68 = 0, 0 = -2*k + 5*c + 7. Let z be 24/k + 2/4. Factor h**z + h**4 - 4*h**3 + h**2 + h**4.
2*h**2*(h - 1)**2
Let g(c) be the third derivative of 0*c - c**3 + 0*c**4 + 0*c**6 + 0 - 5*c**2 - 1/660*c**5 + 1/4620*c**7. Let j(s) be the first derivative of g(s). Factor j(n).
2*n*(n - 1)*(n + 1)/11
Determine p so that -3*p**2 - 18*p**3 + 0*p**2 - 22*p**2 + 22*p**2 - 15*p**4 = 0.
-1, -1/5, 0
Let p be (((-15)/10 - -3)/(-1))/(-6). Let m(v) be the first derivative of -1/6*v**3 + 1/2*v - 1/8*v**4 + 1 + p*v**2. What is k in m(k) = 0?
-1, 1
Let y(r) = -4*r**4 + 6*r**3 - 60*r**2 - 198*r - 128. Let q(i) = i**4 - 2*i**3 + 20*i**2 + 66*i + 43. Let f(j) = -21*q(j) - 6*y(j). Factor f(m).
3*(m - 5)*(m + 1)*(m + 3)**2
Suppose -1 