
5*(a + 64)**2
Let x(g) = -3*g**2 + g - 4. Let k(f) = -2*f**2 + f - 3. Suppose 3*l - 6*l - 9 = 0. Let i(r) = l*x(r) + 4*k(r). Factor i(v).
v*(v + 1)
Let r(w) = -23*w**2 + 43*w - 69. Let x(i) = -13*i**2 + 21*i - 35. Let l(v) = -3*r(v) + 5*x(v). Factor l(o).
4*(o - 4)*(o - 2)
Suppose 3 = -3*p + 12. Factor 425*l**p + 0*l**2 - 4*l**2 - 424*l**3.
l**2*(l - 4)
Let n(h) = -3*h**2 + 2*h - 1. Let v be n(1). Let z be (v/(-3))/(12/90). Factor 6*l - 8*l**2 + 3 + 6*l**2 + z*l**2.
3*(l + 1)**2
Let v = -316 + 486. Let f = v + -168. Factor 0*t - 4/3*t**f + 4/3.
-4*(t - 1)*(t + 1)/3
Let r(p) be the first derivative of -p**6/72 + p**5/4 - 10*p**3/3 - 7. Let n(k) be the third derivative of r(k). Determine c so that n(c) = 0.
0, 6
Factor 3/7*y**2 - 102/7 + 45/7*y.
3*(y - 2)*(y + 17)/7
Let 466 - 52*z + 4*z**3 - 48*z - 20*z**2 + 34 = 0. What is z?
-5, 5
Suppose -20 = -4*j - 4. Suppose 36*w = 28*w + 16. Find x such that 5*x + x**5 + 0*x + 8*x**j - 8*x**w - x - 5*x**5 = 0.
-1, 0, 1
Let p(f) = f**3 + 4*f**2 + 2*f. Let c be p(-3). Let r be (-2)/(-6)*1140/2470. Let -4/13*v + 2/13*v**5 + 0 + r*v**c + 6/13*v**4 - 6/13*v**2 = 0. Calculate v.
-2, -1, 0, 1
Let t(z) be the third derivative of -z**7/1155 + z**6/220 - z**5/330 - z**4/44 + 2*z**3/33 + 3*z**2 - 5. Solve t(n) = 0 for n.
-1, 1, 2
Suppose 2*y + 2*j = 0, -3*j - 16 = -0*y - 5*y. Suppose 4*h = i - 8, -4*i + 3*h + 19 = -0*i. Factor 3*q - 9*q**y - 3*q**2 - 5*q**3 - 3*q**i + 3*q**2 + 14*q**3.
-3*q*(q - 1)**3
Factor 0 + 2/3*g**2 - 2/3*g**4 - 2/3*g**3 + 2/3*g.
-2*g*(g - 1)*(g + 1)**2/3
Let w be 11 - (-20 - (-1647)/54). Factor 6*x + w*x**2 + 0.
x*(x + 12)/2
Let k be 1 + -1 + (18 - 22). Let o be ((-18)/66)/(6/k). Let 6/11*f + 2/11*f**2 - 6/11*f**3 - 4/11 + o*f**4 = 0. What is f?
-1, 1, 2
Let b(v) be the second derivative of v**5/40 - 3*v**4/8 - v**3/3 + 9*v**2 - 169*v - 1. Suppose b(j) = 0. What is j?
-2, 2, 9
Factor -35*k**3 - 115*k**2 - 29*k**2 - 50*k - 15*k**2 - 26*k**2.
-5*k*(k + 5)*(7*k + 2)
Let q = -9462 - -9465. Factor -3/2*x**4 + 3/4*x**5 + 0*x - q*x**3 + 6*x**2 + 0.
3*x**2*(x - 2)**2*(x + 2)/4
Let w = 4/419 + 818/2095. Find a such that -4/5 + 6/5*a - w*a**2 = 0.
1, 2
Let b(f) = 4*f**3 - 5*f**2 - 2*f + 12. Let g(x) = -5*x**3 + 5*x**2 + x - 15. Let q(v) = 6*b(v) + 5*g(v). Factor q(i).
-(i + 1)**2*(i + 3)
Suppose g + 2 = -2*f + 47, 0 = -2*g - 3*f + 95. Suppose g*l**2 - 2 - 116*l**2 + l + 62*l**2 = 0. Calculate l.
-2, 1
Let l(b) be the third derivative of 0 + 0*b - 5/8*b**4 + 60*b**2 + 1/70*b**7 - 7/40*b**6 + 0*b**3 + 11/20*b**5. Solve l(m) = 0.
0, 1, 5
Let g = 217 + -215. Let r(p) be the first derivative of 0*p + 7 - 2*p**g - 4/3*p**3. Determine m so that r(m) = 0.
-1, 0
Let k = -520 + 523. Find z such that 10/21*z**4 + 2/7*z**k - 2/7*z - 2/3*z**2 + 4/21 = 0.
-1, 2/5, 1
Let a(q) be the second derivative of q**6/160 + 3*q**5/40 + q**4/4 + 33*q**2/2 - 9*q. Let g(c) be the first derivative of a(c). Find x such that g(x) = 0.
-4, -2, 0
Let l = -2 - -11. Suppose t - k + 5*k = l, 5*k = -4*t + 25. Suppose 1/6*a**3 + 0*a**2 + 1/3*a**4 + 0 + 1/6*a**t + 0*a = 0. Calculate a.
-1, 0
Let l(w) be the second derivative of 0 + 1/12*w**4 + 0*w**2 + 8*w + 0*w**3. Factor l(j).
j**2
Find q, given that 24*q**2 + 9*q + 3*q - 27*q**2 = 0.
0, 4
Let w(l) = -5*l**4 - 11*l**3 + 9*l**2 + 17*l - 10. Let n(v) = v**4 + v**3 - v**2 + v - 2. Let y(q) = -3*n(q) - w(q). Solve y(b) = 0 for b.
-4, -2, 1
Let r(n) be the third derivative of -1/180*n**5 + 5/72*n**4 + 0 - 1/3*n**3 - 23*n**2 + 0*n. Factor r(d).
-(d - 3)*(d - 2)/3
Let f(g) = g**3 - 14*g**2 + 3. Let d be f(14). Suppose -14*o**3 - 7*o + 22*o + d*o**2 + 6 + 8*o**3 = 0. Calculate o.
-1, -1/2, 2
Determine o so that 24/5*o**2 + 0 - 16/5*o + 1/5*o**4 - 9/5*o**3 = 0.
0, 1, 4
Let v(p) be the first derivative of p**2 - 2 - 2*p + 1/12*p**4 + 1/2*p**3. Let f(n) be the first derivative of v(n). Factor f(s).
(s + 1)*(s + 2)
Let z(g) be the third derivative of -14*g**2 + 0*g + 0 + 1/30*g**5 - 2/3*g**3 - 1/12*g**4. Solve z(x) = 0 for x.
-1, 2
Solve 122/3*i + 6*i**2 - 28/3 = 0 for i.
-7, 2/9
Let u(s) be the first derivative of -s**6/360 - s**5/40 - 14*s**3/3 - 5. Let r(a) be the third derivative of u(a). Factor r(o).
-o*(o + 3)
Let g(y) = y + 11 - y**3 + 6*y**2 - 17*y + 7*y. Let j(i) = -i**3 + 6*i**2 - 10*i + 10. Let d(h) = -4*g(h) + 6*j(h). Factor d(o).
-2*(o - 2)**3
Suppose -j + 11 = -3*z + 15, -3*j - 12 = -4*z. Let h = 4/563 - -5039/3941. Suppose -6/7*r - 3/7*r**3 + z - h*r**2 = 0. Calculate r.
-2, -1, 0
Let k(m) = 40*m**4 + 15*m**3 + 70*m. Let h(w) = w**4 + 2*w. Let i(y) = 35*h(y) - k(y). What is g in i(g) = 0?
-3, 0
Suppose -69*y + 59*y = -20. Suppose -f - i = y*i + 6, 0 = -f - 4*i - 9. Factor 0*d + 0*d**f - 1/4*d**2 + 1/4*d**4 + 0.
d**2*(d - 1)*(d + 1)/4
Factor 3 - 27 - 5*a**2 + 4 - 20*a + 5.
-5*(a + 1)*(a + 3)
Determine j, given that -18/7*j - 6/7*j**2 + 0 = 0.
-3, 0
Factor 2/5*h**2 + 4/5 + 6/5*h.
2*(h + 1)*(h + 2)/5
Find i, given that 117/7 + 3/7*i**2 + 48/7*i = 0.
-13, -3
Let a(v) = v**4 - v**3 - v**2 + v + 3. Let k(m) = -25*m**4 + 41*m**3 - 7*m**2 - 9*m - 15. Let j(o) = 5*a(o) + k(o). Factor j(w).
-4*w*(w - 1)**2*(5*w + 1)
Let u(d) be the first derivative of d**6/720 + d**5/45 + d**4/9 - 25*d**2/2 - 22. Let m(r) be the second derivative of u(r). Factor m(o).
o*(o + 4)**2/6
Let g(r) be the first derivative of 2*r**4 - 4/5*r**5 - 4*r**2 + 4/3*r**3 + 2 + 0*r. Determine k, given that g(k) = 0.
-1, 0, 1, 2
Suppose -15/2*s - 23/3 + 1/6*s**2 = 0. Calculate s.
-1, 46
Let l(i) = -13*i**3 - 7*i**2 + 12*i + 12. Let w(c) = -2*c**3 + 2*c + 2. Let n(r) = -l(r) + 6*w(r). Factor n(q).
q**2*(q + 7)
Let c = -2137825/52 + 41116. Let p = c + -42/13. Factor -3/4*r**2 - 1/4*r**4 - 1/4*r + 0 - p*r**3.
-r*(r + 1)**3/4
Factor 0*h - 42*h**3 + 36*h**2 - 3/2*h**5 + 15*h**4 + 0.
-3*h**2*(h - 6)*(h - 2)**2/2
Suppose -132 = -4*b - 4*j, -2*j = -2*b + 6*b - 124. Factor 2*s**2 - 19*s**3 - 5*s**4 - 7*s**2 + b*s**3.
-5*s**2*(s - 1)**2
Let x be 0 - (-2)/((-4)/(-30)). Let a be 1*4 - x/(450/48). Suppose 0 - 8/5*o - 4/5*o**3 - a*o**2 = 0. What is o?
-2, -1, 0
Let s(y) be the third derivative of -y**7/35 + 11*y**6/60 - 2*y**5/5 + y**4/3 - 122*y**2. Solve s(p) = 0 for p.
0, 2/3, 1, 2
Find z, given that 2/19*z**3 + 2/19*z**5 + 0 - 6/19*z**2 - 4/19*z + 6/19*z**4 = 0.
-2, -1, 0, 1
Let r(u) be the third derivative of -3*u**8/560 - 2*u**7/35 + 17*u**6/100 + 3*u**5/25 - 31*u**4/40 + 4*u**3/5 + 2*u**2 - 60. What is m in r(m) = 0?
-8, -1, 1/3, 1
Let v(b) = 87*b**2 - 30*b + 162. Let a(n) = 6*n**2 + n. Let j(l) = 15*a(l) - v(l). Factor j(k).
3*(k - 3)*(k + 18)
Suppose -8 + 44 = 3*c. Suppose -10*v - 4 = -c*v. Factor -2*q**5 + 0 + 0*q**v - 16/3*q**4 - 4*q**3 + 2/3*q.
-2*q*(q + 1)**3*(3*q - 1)/3
Let c be (-8)/(-6)*(-4 + 5). Let a = c + -5/6. Suppose 1/4 + 0*t**3 + 0*t - a*t**2 + 1/4*t**4 = 0. What is t?
-1, 1
Let g(x) be the first derivative of x**5 - 15*x**4/2 - 24. Factor g(c).
5*c**3*(c - 6)
Suppose -79*s = -82*s + 6. Suppose 46*r**s + 42*r**2 - 40*r - 126*r**2 + 43*r**2 = 0. What is r?
0, 8
Let h(f) = 5*f + 161. Let m be h(0). Suppose 0 = -m*y + 156*y + 25. Factor 0 + 0*j - 3/8*j**3 + 3/8*j**4 + 1/8*j**2 - 1/8*j**y.
-j**2*(j - 1)**3/8
Let v(x) be the second derivative of -23*x**5/5 + 39*x**4 - 296*x**3/3 + 24*x**2 + 671*x. Factor v(g).
-4*(g - 3)*(g - 2)*(23*g - 2)
Let r(b) = 15*b**2 - 18*b - 75. Let x(w) = -6*w**2 + 7*w + 30. Let l(h) = 5*r(h) + 12*x(h). Let z(p) = 1. Let n(o) = l(o) + 15*z(o). Find t such that n(t) = 0.
0, 2
Let t(o) be the first derivative of o**6/6 + 9*o**5/5 + 29*o**4/4 + 13*o**3 + 9*o**2 + 401. Determine h so that t(h) = 0.
-3, -2, -1, 0
Let l(j) be the second derivative of -j**6/15 - 2*j**5/5 - 2*j**4/3 - 196*j + 1. Factor l(h).
-2*h**2*(h + 2)**2
Let i be 6*-1*1/(-105). Let c(k) be the first derivative of -2 - i*k**5 - 6/7*k**3 - 4/7*k + 5/14*k**4 + k**2. Factor c(w).
-2*(w - 2)*(w - 1)**3/7
Let a(h) = -h**3 + h**2 - h + 2. Suppose 5*l + 4*d - 2 = -22, l + 4*d + 20 = 0. Let k be a(l). Solve -265*z**2 - 2*z + 265*z**k + 2*z**3 = 0.
-1, 0, 1
Let y = -12 + 13. Find z such that -z**2 + 15*z - 9*z - y - 8*z = 0.
-1
Let w(v) be the first derivative of 27/4*v**4 + 12*v - 25 - 6*v**2 - 9*v**3. Factor w(a).
3*(a - 1)*(3*a - 2)*(3*a + 2)
Let n be -30*(24/(-10) + 2). Solve -7*f**2 + n*f - 17*f + 13*f + 3*f**2 = 0 for f.
0, 2
Let c(s)