 q**3 + 7 - q**4. Factor l(z).
-4*(z - 2)**2*(z + 1)
Let p(x) = -4*x**2 + 14*x + 8. Let o(b) = b**2 - b. Let r = 168 + -162. Let c(q) = r*o(q) + p(q). Factor c(u).
2*(u + 2)**2
Let w(k) be the second derivative of -2*k**6/5 + 16*k**5/5 + 35*k**4/9 + 4*k**3/3 + 110*k. Suppose w(h) = 0. Calculate h.
-1/3, 0, 6
Factor -84*u**2 - 4*u + 88*u**2 + 0*u - 4*u - u**4 + 2*u**3.
-u*(u - 2)**2*(u + 2)
Let u(v) be the first derivative of 29 + 4/21*v**3 - 4/7*v + 0*v**2. Factor u(o).
4*(o - 1)*(o + 1)/7
Suppose 2*x - 7 + 4 = q, -5*x + 3*q = -7. Suppose x*a + 1/2*a**2 + 2 = 0. What is a?
-2
Let z(o) = -o**5 - o**4 + o**3 - o**2 + 1. Let c(i) = -6*i**5 + 3*i**4 - 20*i**3 + 33*i**2 - 28*i + 13. Let f(y) = 2*c(y) - 10*z(y). Factor f(w).
-2*(w - 2)**3*(w - 1)**2
Let b be (-2 + 0 + 3)*(3 + 1). Suppose 5*m - 2 = b*m. Determine y, given that 1/2 + 1/4*y - 1/4*y**3 - 1/2*y**m = 0.
-2, -1, 1
Let p(f) = f**3 + 10*f**2 - 9*f + 6. Let w(v) = 2*v**3 + 10*v**2 - 8*v + 8. Let i(o) = 4*p(o) - 3*w(o). Find j such that i(j) = 0.
0, 2, 3
Let g(s) be the third derivative of -133*s**5/15 + 15*s**4/2 - 4*s**3/3 + 7*s**2 + 1. Let g(c) = 0. Calculate c.
1/19, 2/7
Let z = 0 - -4. Determine c so that 6*c**3 - c**4 - 2*c**3 - z*c**3 = 0.
0
Let x(s) be the second derivative of 49/50*s**5 + 0 - 28*s + 4/15*s**3 + 0*s**2 + 14/15*s**4. Determine c so that x(c) = 0.
-2/7, 0
Let a be (119/42)/(-17) + (-10)/(-36). Let m(c) be the first derivative of 4/3*c + 2/3*c**2 + a*c**3 + 5. Factor m(k).
(k + 2)**2/3
Suppose 4*v = 4*i + 12, -v - 237*i + 7 = -242*i. Let -4/3*x**3 - 16/3 + 0*x + 4*x**v = 0. What is x?
-1, 2
Determine o so that -7*o**2 + 2*o - 19*o**2 + 3*o**4 + 38*o**2 - 15*o**3 - 2*o = 0.
0, 1, 4
Let b(j) be the first derivative of -9/5*j + 11 - 5/3*j**3 + 3*j**2. Factor b(y).
-(5*y - 3)**2/5
Let j(i) be the second derivative of -i**6/10 + 3*i**5/5 - 3*i**4/2 + 2*i**3 - 3*i**2/2 - 38*i. Factor j(w).
-3*(w - 1)**4
Let s(b) be the first derivative of 4*b**3/15 + 4*b**2/5 - 12*b/5 - 96. Determine c so that s(c) = 0.
-3, 1
Let f be (-6968)/(-2340) - -3*2/27. Solve 32/5 - 2/5*q**5 + 16/5*q**3 - 32/5*q - f*q**2 + 2/5*q**4 = 0 for q.
-2, 1, 2
Factor 15*b**2 + 36*b**3 - 16*b**3 - 60 - 11*b**3 + 12*b - 12*b**3.
-3*(b - 5)*(b - 2)*(b + 2)
Determine k so that 9*k + 12*k + 775*k**2 - 36 - 778*k**2 = 0.
3, 4
Suppose q = -x + 4*x - 5, 1 = -2*q + 3*x. Suppose 4*t - q = 8. Suppose -15*d + 5*d**t - 6*d**2 - 5*d**2 - 4*d**2 + 5*d**2 = 0. What is d?
-1, 0, 3
Let y(w) be the first derivative of -w**5/8 + 7*w**4/4 - 4*w**3/3 - 13*w + 23. Let r(s) be the first derivative of y(s). Factor r(d).
-d*(d - 8)*(5*d - 2)/2
What is a in 1/4*a**3 + 5/4*a + 1/2 + a**2 = 0?
-2, -1
Factor 13*q**2 - 12*q - 10*q + 7*q**3 + q**4 + 7*q + 8*q**3 - 14.
(q - 1)*(q + 1)**2*(q + 14)
Let n be 5 - (-6 - 2) - (2 + 9). Solve -1/4*m**n + m + 5/4 = 0.
-1, 5
Let m(c) = c**3 + 11*c**2 + 11*c + 11. Let l be m(-10). Let u be -4*l/7*42/(-60). Factor u*g - 3/5 + 1/5*g**2.
(g - 1)*(g + 3)/5
Let k(j) = j**3 + 6*j**2 - 4. Let i(a) = -2*a**3 - 10*a**2 + a + 6. Let h(v) = 3*i(v) + 5*k(v). Determine s so that h(s) = 0.
-2, 1
Factor -39/2 - 19/2*w + 1/8*w**2.
(w - 78)*(w + 2)/8
Let z(o) be the second derivative of o**4/54 + 11*o**3/27 + 2*o**2 - 77*o. Factor z(d).
2*(d + 2)*(d + 9)/9
Let s(p) be the third derivative of p**7/70 - p**6/40 - 91*p**2. Suppose s(t) = 0. What is t?
0, 1
Let z be 1 + 6/(3 - (-302)/(-102)). Let a = z - 764/5. Solve 3/5*n**3 - a - 3/5*n + 6/5*n**2 = 0.
-2, -1, 1
Factor 1/6*y**3 - 23/3 - 8*y**2 + 31/2*y.
(y - 46)*(y - 1)**2/6
Suppose 0 = 3*c + c + 8*c. Let d(m) be the third derivative of m**2 + 1/8*m**4 + 0*m**3 + 0 - 3/20*m**5 - 1/10*m**6 + c*m. Factor d(u).
-3*u*(u + 1)*(4*u - 1)
Find l such that -3/7*l**3 + 81000/7 + 270/7*l**2 - 8100/7*l = 0.
30
Let a = -132683/4 + 33173. Factor -3/4*d**2 - a + 7*d.
-(d - 9)*(3*d - 1)/4
Let c(o) = -4*o**3 - 472*o**2 + 480*o - 8. Let v(j) = 4*j**3 + 472*j**2 - 481*j + 10. Let a(f) = -5*c(f) - 4*v(f). Factor a(l).
4*l*(l - 1)*(l + 119)
Let v(u) = 2*u - 5. Let j be v(5). Let s = j + -1. Find k, given that 16/5*k - 42/5*k**2 + 14/5*k**s + 4/5*k**3 + 8/5 = 0.
-2, -2/7, 1
What is i in 32*i**2 - 13*i**2 - 498*i - 14*i**2 + 64980 - 642*i = 0?
114
Let n be (0 + -1)/5 - 1336/(-30). Let k = n - 257/6. Factor 0 + k*u**3 - 3*u**2 + 3/2*u.
3*u*(u - 1)**2/2
Suppose -2*a = 5*k - 6*a - 773, k = 5*a + 163. Let l be k/90 + 1/((-2)/(-3)). Let l*s + 8/5 + 2/5*s**2 - 6/5*s**3 = 0. Calculate s.
-1, -2/3, 2
Let g(y) = 8*y**3 + 7*y**2 - 42*y + 36. Let l(d) = 38*d**3 + 34*d**2 - 210*d + 180. Let q(w) = -14*g(w) + 3*l(w). Determine j so that q(j) = 0.
-6, 1, 3
Let m be 0 + 0 + (8 + -1 - 4). Factor -2 + 14*u**4 - m*u - 3*u**5 + 6*u**2 - 17*u**4 + 6*u**3 - 1.
-3*(u - 1)**2*(u + 1)**3
Let f(j) be the third derivative of -j**5/180 - 19*j**4/72 - j**3 + 2*j**2 + 43. Determine d so that f(d) = 0.
-18, -1
Let h = 62/27 + 605/54. What is k in 3/2*k**2 - 9*k + h = 0?
3
Let z be (2/(-18) - (-11)/231*7) + 0. Suppose 2/9*q**2 - z*q + 0 = 0. What is q?
0, 1
Let o(g) be the third derivative of 1/12*g**4 - 1/10*g**5 + 0 - 1/60*g**6 + g**3 + 3*g**2 + 0*g. Factor o(c).
-2*(c - 1)*(c + 1)*(c + 3)
Let g(m) = -11*m**2 + m. Let w be g(1). Let d(j) = -j**2 - 11*j - 8. Let u be d(w). Find c such that -4*c**u + c**2 + 0*c**2 - c**4 + 4 + 4*c - 4*c**3 + 0 = 0.
-2, -1, 1
Factor -536*x**3 - 3*x + 273*x**3 + 19*x - 40 + 22*x**2 + 265*x**3.
2*(x - 1)*(x + 2)*(x + 10)
Let g(v) be the first derivative of -14*v**6/3 - 72*v**5/5 - 109*v**4/7 - 48*v**3/7 - 8*v**2/7 - 42. Suppose g(k) = 0. What is k?
-1, -2/7, 0
Let n(j) = -j**2 - 4*j. Let v be n(-3). Let w be 0/14 - v*-1. What is y in -4*y**2 - 8/3 - 6*y - 2/3*y**w = 0?
-4, -1
Let g(i) = -i**3 - 9*i**2 - 14*i + 10. Let c be g(-7). What is h in 10*h**3 + 15*h**4 + c*h**5 - 10*h**2 - 17*h**5 - 15*h - 5 + 12*h**5 = 0?
-1, 1
Let u(g) be the second derivative of g**4/24 + 77*g**3/6 + 78*g. Factor u(n).
n*(n + 154)/2
Let q be 372/20 + (-12)/(-30). Factor -q*w**2 - 182 + 2*w**3 + 282 - w**3 + 80*w.
(w - 10)**2*(w + 1)
Let j(x) be the first derivative of -x**2 + x**4 - 4/3*x**3 - 1/3*x**6 + 20 + 2*x + 2/5*x**5. Factor j(y).
-2*(y - 1)**3*(y + 1)**2
Let x(l) = 2*l**3 + 51*l**2 + 25*l - 24. Let i(w) = -3*w**3 - 51*w**2 - 24*w + 24. Let k(v) = 4*i(v) + 3*x(v). Find b, given that k(b) = 0.
-8, -1, 1/2
Suppose 4*p = 10 + 6, -d - 2*p + 14 = 0. Let m be (10 + -12)/((-4)/d). Factor -39*w**5 + 7*w**5 - 36*w**4 + 21*w**5 - 4*w**m - 70*w**5.
-w**3*(9*w + 2)**2
Let z(g) be the second derivative of -g**7/126 - g**6/10 - 154*g. Factor z(h).
-h**4*(h + 9)/3
Suppose 2*l + 3*b + 522 = 0, 0 = 4*l - 0*b + 2*b + 1060. Let c = -1863/7 - l. Factor c*r + 4/7 - 10/7*r**2.
-2*(r - 1)*(5*r + 2)/7
Let g(j) be the first derivative of -j**6/100 - j**5/150 + j**4/20 + j**3/15 - 3*j**2 - 2. Let k(a) be the second derivative of g(a). Let k(i) = 0. Calculate i.
-1, -1/3, 1
Let b = 163/130 + 81/65. What is q in 2*q**3 - b*q + 1/2*q**5 + 2*q**4 - q**2 - 1 = 0?
-2, -1, 1
Factor -17*c - 11/2*c**3 + 0 - 89/4*c**2 - 1/4*c**4.
-c*(c + 1)*(c + 4)*(c + 17)/4
Let u(o) = -2*o**4 - 22*o**2 + 12*o + 24. Let r(y) = y**4 + y**2 - y. Let c(q) = -4*r(q) - u(q). Suppose c(p) = 0. Calculate p.
-3, -1, 2
Let m be -1*1/(-2)*(25 + -7). Let k be m/180*10*(-1 + 7). Factor -4/9 + 10/9*o + 6*o**2 + 22/9*o**4 + 62/9*o**k.
2*(o + 1)**3*(11*o - 2)/9
Let a be (14 + -14)/(-1*1). Let g(q) be the second derivative of a - 1/54*q**4 - q**2 - 7*q + 2/9*q**3. What is z in g(z) = 0?
3
Suppose -2 = c - 2*c. Let -u**3 + u**c + 3*u**5 + 21*u**4 + 16*u**3 - 9*u**4 + 5*u**2 = 0. What is u?
-2, -1, 0
Let a = -195 - -151. Let w = a - -47. Suppose -2/5*c**w + 0 + 0*c**2 + 2/15*c - 4/15*c**4 = 0. Calculate c.
-1, 0, 1/2
Factor -2/13*v**2 + 0 - 14/13*v.
-2*v*(v + 7)/13
Let x(m) be the second derivative of m**5/90 - 5*m**4/54 + 8*m**3/27 - 4*m**2/9 + 432*m. Factor x(a).
2*(a - 2)**2*(a - 1)/9
Let b = 1056 - 4223/4. Let v = -29/6 - -16/3. Factor -1/2*q**2 - 1/4*q**3 + b*q + v.
-(q - 1)*(q + 1)*(q + 2)/4
Factor -16/7*v + 0 + 2/7*v**2.
2*v*(v - 8)/7
Let a(h) be the third derivative of h**4/8 - 5*h**3/3 - 2*h**2. Let j be a(4). Determine l so that -5*l**j - 3*l**3 + 2*l + 14*l**2 - 12*l**2 + 4*l**3 = 0.
0, 1, 2
Factor -3182*r + 1580*r + 3*r**2 + 12 + 1587*r.
3*(r - 4)*(r - 1)
Let i(d) 