ctor 0*t + 2 + t + 3*t + l*t**2.
2*(t + 1)**2
Factor 7*a**3 + 2*a**4 + 2*a**2 - 4*a - 6*a**4 + 2*a**4 - 3*a**3.
-2*a*(a - 2)*(a - 1)*(a + 1)
Let m(r) be the first derivative of 2*r**3/3 - 8*r**2 + 32*r - 2. Solve m(n) = 0.
4
Let z(f) be the first derivative of -2*f**6/3 - 8*f**5/5 + 8*f**3/3 + 2*f**2 + 12. Factor z(h).
-4*h*(h - 1)*(h + 1)**3
Let v(s) = 14*s**4 + 18*s**3 - 10*s**2 - 18*s - 4. Suppose 2*x + 2*x = 48. Let n(z) = -z**4 - z**3 + z**2 + z. Let q(i) = x*n(i) + v(i). Solve q(p) = 0 for p.
-2, -1, 1
Let c be -19*20/96 - -4. Let s(t) be the third derivative of 2*t**2 + 0 + 0*t + 1/24*t**3 - c*t**4 - 1/240*t**6 + 1/48*t**5. Factor s(d).
-(d - 1)**2*(2*d - 1)/4
Let u be (-37)/(-30) - (-2)/20. Solve 2/3*c**3 - 10/3*c + 2*c**2 - 2/3*c**4 + u = 0.
-2, 1
Factor 0*l - 2/5*l**2 + 0 - 2/5*l**3.
-2*l**2*(l + 1)/5
Let v(r) be the second derivative of r**6/1620 - r**4/108 + r**3/2 + 2*r. Let z(i) be the second derivative of v(i). Determine s, given that z(s) = 0.
-1, 1
Suppose -7*i = -5*i - 10. Let c(f) be the second derivative of -5/9*f**4 + 0 - f - 1/63*f**7 - 1/9*f**6 - 1/3*f**2 - 1/3*f**i - 5/9*f**3. Factor c(w).
-2*(w + 1)**5/3
Let j(u) be the second derivative of -u**4/2 + 4*u**3/3 - u**2 - 2*u. Let d(l) = 7*l**2 - 9*l + 2. Let i(k) = 4*d(k) + 5*j(k). Determine m so that i(m) = 0.
1
Let b = -607/3 + 205. Find h such that -b*h**4 + 0 - 4/3*h**2 + 0*h + 6*h**3 = 0.
0, 1/4, 2
Let s be 0 - (0 - (2 + -3)). Let k be (0 + 0)/(1*s). Factor -1/2*u**2 + k - 1/2*u.
-u*(u + 1)/2
Let p(i) = -7*i - 9. Let w be p(-2). Let b(q) be the second derivative of -2*q + 1/72*q**4 - 1/120*q**w + 0 + 0*q**2 + 0*q**3. Suppose b(j) = 0. What is j?
0, 1
Let v(z) be the third derivative of -9*z**7/35 + 8*z**6/5 - 103*z**5/90 - 23*z**4/9 - 4*z**3/3 - 2*z**2. Let v(l) = 0. What is l?
-2/9, 1, 3
Let c = -11 - -16. Suppose 2*d + c*d = 0. Factor d - 2/5*w**5 + 0*w**3 - 4/5*w**4 + 2/5*w + 4/5*w**2.
-2*w*(w - 1)*(w + 1)**3/5
Let i be -4*((-6)/(-4) - 2). Let k be ((-8)/12)/(4/(-18)). Factor 2 - 2*a**3 + 9*a + 4*a**k + a**3 + 10*a**i.
(a + 1)*(a + 2)*(3*a + 1)
Find l such that 6/17*l**4 - 6/17*l**2 + 8/17*l**5 - 10/17*l**3 + 0 + 2/17*l = 0.
-1, 0, 1/4, 1
Let f = 10 + -6. Suppose -5*v + y + 23 = 0, 2*v - 10 - 8 = -f*y. Factor j**2 + 2*j + 0*j**2 - v*j**2 + 2*j**2.
-2*j*(j - 1)
Let o = 650 + -8445/13. Let t = 37/39 + o. Let 1/3*a - 7/3*a**3 - 2/3*a**2 + 0 - t*a**4 = 0. Calculate a.
-1, 0, 1/4
Let f(l) be the second derivative of -l**7/147 + 3*l**5/70 + l**4/21 + 5*l. Factor f(q).
-2*q**2*(q - 2)*(q + 1)**2/7
Factor 36/5 + 4/5*h**2 - 24/5*h.
4*(h - 3)**2/5
Let u = -130/3 + 44. Let j(g) be the first derivative of u*g**3 - g**2 - 2 - 2*g + 1/2*g**4. Factor j(y).
2*(y - 1)*(y + 1)**2
Let p(v) be the third derivative of 1/100*v**5 + 1/150*v**6 + 0*v**3 - 1/120*v**4 + 3*v**2 + 0 + 0*v. Factor p(l).
l*(l + 1)*(4*l - 1)/5
Let n be 9/(-12)*(-4 + 0). Suppose n*r**2 - 22 - 4*r**3 + 22 + 5*r**2 = 0. What is r?
0, 2
Let h = 137 - 95. Let t be 12/16*8/h. Factor 4/7*a - 3/7 - t*a**2.
-(a - 3)*(a - 1)/7
Let h(v) be the third derivative of v**5/100 - 3*v**4/20 - 7*v**3/10 + 31*v**2 + v. Solve h(n) = 0.
-1, 7
Let k(r) = -r**3 + r. Let g(i) = 3*i**3 + 7*i**2 + 8*i. Let v(c) = g(c) + 2*k(c). Determine q so that v(q) = 0.
-5, -2, 0
Solve 0 - 1/2*u + u**2 - 1/2*u**3 = 0.
0, 1
Let r be 3/((63/(-56))/(2/(-8))). Let v(o) = 4*o**3 - o**2. Let s be v(1). Suppose -2/3*f - 2/3 + r*f**2 + 2/3*f**s = 0. Calculate f.
-1, 1
Let p be (-6)/18 - 20/(-6). Factor 1/3*u + 0*u**4 + 1/3*u**5 + 0 - 2/3*u**p + 0*u**2.
u*(u - 1)**2*(u + 1)**2/3
Let s(p) be the second derivative of p**7/525 - p**6/75 + 9*p**5/250 - 7*p**4/150 + 2*p**3/75 + 7*p. Factor s(l).
2*l*(l - 2)*(l - 1)**3/25
Let q(u) = -u**5 + u**4 + u**2 + 1. Let n(a) = 8*a**5 + 43*a**4 - 15*a**3 - 146*a**2 - 132*a - 20. Let l(m) = -n(m) + 4*q(m). Solve l(x) = 0.
-2, -1, -1/4, 2
Solve 2/3*o + 4/3*o**2 + 0 + 2/3*o**3 = 0.
-1, 0
Suppose -n = -3 - 0. Suppose -4 + k**2 - k + n*k + 0*k + 5 = 0. Calculate k.
-1
Let l(g) = 6*g**2 + 2*g + 1. Let w(z) = -z**2 - z - 1. Let q(a) = l(a) + 5*w(a). Let y be q(4). Factor y + 1/3*o + 1/3*o**2.
o*(o + 1)/3
Let f be 56/(-392) - 2*18/(-56). Let q be ((-2)/(-3))/((-12)/(-9)). Find l such that q*l - f*l**4 + 0 + 1/2*l**2 - 1/2*l**3 = 0.
-1, 0, 1
Let 416/3*p + 16*p**4 + 548/3*p**2 + 64/3 - 356/3*p**3 = 0. Calculate p.
-1/3, -1/4, 4
Suppose 0*f - 4*u = 2*f + 12, -16 = 4*u. Let d(s) = -2*s**3 + 2*s**2 - 1. Let h be d(-1). Determine b, given that 0 + 2/11*b**h + 0*b + 4/11*b**f = 0.
-2, 0
Let r be (-2 - 44/(-16))*51. Let b = -38 + r. Let -1/4*p**2 - b*p + 0 = 0. Calculate p.
-1, 0
Suppose -3*o - 11 = -3*q + 4, 4*o - q + 5 = 0. Suppose -1/5*j**2 - 1/5*j**3 + o + 2/5*j = 0. What is j?
-2, 0, 1
Factor 0*c + 2/3*c**5 + 2/3*c**4 - 2/3*c**2 + 0 - 2/3*c**3.
2*c**2*(c - 1)*(c + 1)**2/3
Let c = -901236277/507 - -1777587. Let u = c + 2/169. Factor -u*s**3 + 0 + 1/3*s**2 + 1/3*s.
-s*(s - 1)*(2*s + 1)/3
Let w = 4 - 2. Determine t so that -t**5 - 11*t**4 - 6*t - 2*t**5 - 19*t**3 - 8*t**3 - 21*t**w - 4*t**4 = 0.
-2, -1, 0
Let i(b) be the second derivative of -b**6/10 + 3*b**5/10 + b**4 - b**3 - 9*b**2/2 + 9*b. Factor i(p).
-3*(p - 3)*(p - 1)*(p + 1)**2
Let u(j) = j**2 + 10*j - 7. Let t be u(-11). Factor 87*v**t - v**3 + 3*v**3 - 89*v**4.
-2*v**3*(v - 1)
Suppose 6 = 4*y - 10. Determine b so that 0*b**5 - b**4 + 2*b + 2*b**5 + 3*b**y + 12*b**3 + 8*b**2 + 6*b**4 = 0.
-1, 0
Let q be (-12)/102 - (-220)/425. Factor 0 - 4/5*j + q*j**2.
2*j*(j - 2)/5
Let m(o) be the second derivative of 1/15*o**3 + 1/105*o**7 - 1/75*o**6 + 0 + 1/15*o**4 + 7*o - 1/5*o**2 - 1/25*o**5. Factor m(g).
2*(g - 1)**3*(g + 1)**2/5
Let a(o) be the third derivative of 7*o**2 + 1/120*o**5 + 0*o + 0 - 1/48*o**4 + 0*o**3. Solve a(k) = 0 for k.
0, 1
Factor -11*l**2 - 3*l**2 + 2*l**2 + 6 + 21*l.
-3*(l - 2)*(4*l + 1)
Let k(n) be the second derivative of 0*n**3 + 2*n + 1/10*n**5 - 1/7*n**7 + 2/15*n**6 + 0*n**2 + 0 + 0*n**4. Factor k(b).
-2*b**3*(b - 1)*(3*b + 1)
Let l(y) be the third derivative of -1/6*y**4 + 0 + 0*y + 1/3*y**3 + 1/30*y**5 - y**2. Suppose l(r) = 0. What is r?
1
Let j(x) be the first derivative of x**6/2 + 9*x**5/5 + 3*x**4/2 - 2*x**3 - 9*x**2/2 - 3*x + 12. Factor j(c).
3*(c - 1)*(c + 1)**4
Let f(r) be the first derivative of -5*r**4/4 - 5*r**3/3 + 5*r**2/2 + 5*r + 51. Factor f(n).
-5*(n - 1)*(n + 1)**2
Let k(j) be the first derivative of -19/20*j**5 + 1/4*j**2 - 15/16*j**4 - 1/12*j**3 + 1 + 0*j - 7/24*j**6. Factor k(z).
-z*(z + 1)**3*(7*z - 2)/4
Let q(r) be the second derivative of -r**7/14 - 3*r**6/10 - 3*r**5/10 + r**4/2 + 3*r**3/2 + 3*r**2/2 + 6*r. Factor q(b).
-3*(b - 1)*(b + 1)**4
Let h(v) be the second derivative of v**8/11200 + v**7/1400 - v**5/50 - v**4/2 + 5*v. Let y(z) be the third derivative of h(z). Solve y(m) = 0 for m.
-2, 1
Let x(r) be the second derivative of r**6/90 - r**5/20 + 4*r. Find l, given that x(l) = 0.
0, 3
Find n, given that 0 - 6/11*n + 2/11*n**2 = 0.
0, 3
Let k = 292/3 + -97. What is f in -k*f**3 + 0*f + 1/3*f**2 + 0 = 0?
0, 1
Let c(u) be the third derivative of -u**7/1260 - u**6/180 - u**5/60 + u**4/8 + 2*u**2. Let m(y) be the second derivative of c(y). Factor m(p).
-2*(p + 1)**2
Let d(a) be the first derivative of 5*a**4/16 - 11. Factor d(w).
5*w**3/4
Let o(l) = l**3 - 10*l**2 + 3*l + 6. Let x(w) = -w**3 + w**2. Let k(a) = o(a) + 4*x(a). Let k(h) = 0. Calculate h.
-2, -1, 1
Let j be (-6 - 152/(-20))/((-6)/(-5)). Factor -j + 4/3*p**2 - 2*p.
2*(p - 2)*(2*p + 1)/3
Suppose 0 = -2*j - j. Suppose j*b = 2*b - 6. Find k such that -b*k**3 - k + 0*k**2 + 3*k**2 + k**3 = 0.
0, 1/2, 1
Let k(s) be the second derivative of s**5/15 + s**4/3 + 4*s**2 - 6*s. Let r(y) be the first derivative of k(y). Factor r(l).
4*l*(l + 2)
Let j = -258 + 261. Determine w, given that 10*w**2 + 81/4*w**4 - 117/4*w**j - w + 0 = 0.
0, 2/9, 1
Suppose 6 = -0*q - q - 4*l, -2 = 2*q + 3*l. Let k be ((-7)/21)/(q/(-12)). Determine y so that 0*y**k + 2/9*y**3 - 2/9*y + 0 = 0.
-1, 0, 1
Factor 0*t**2 - 2*t**3 + 2/3*t + 0 + 4/3*t**4.
2*t*(t - 1)**2*(2*t + 1)/3
Let z(w) be the third derivative of 0*w**4 + 1/504*w**8 + 0*w - 1/180*w**6 + 1/90*w**5 + 0*w**3 + 2*w**2 + 0 - 1/315*w**7. Suppose z(n) = 0. Calculate n.
-1, 0, 1
Suppose 3*z + 9 - 2 = 2*h, -5*h - 2*z = -27. Let n(l) be the second deriva