t l(d) = -d**2 + 8*d + 5*d - 12*d. Let z(q) = i*x(q) - 4*l(q). Factor z(c).
3*(c - 1)*(2*c - 1)
Let v(o) be the first derivative of -4*o**5/5 - 8*o**4 - 8*o**3 + 80*o**2 - 100*o - 107. Factor v(x).
-4*(x - 1)**2*(x + 5)**2
Let o = 472 - 470. Let c(r) = -r**2 + r. Let m be c(0). Suppose -1/2*w**3 + m*w + 0 - 1/2*w**o = 0. What is w?
-1, 0
Suppose 2*n = 4*z - 0*n - 8, -z + 2*n + 8 = 0. Factor 3*c**5 - 6*c**2 + z*c**3 + 9*c + 6*c**4 - 11*c**3 - c**3.
3*c*(c - 1)**2*(c + 1)*(c + 3)
Let q(k) = -2*k**2 + 11*k - 4. Let g(c) = -c**2 + 6*c - 2. Suppose 3*t = 7*t - 24. Let w(d) = t*q(d) - 10*g(d). Find m, given that w(m) = 0.
1, 2
Factor 3/4*r - 3/4*r**2 + 3/4 - 3/4*r**3.
-3*(r - 1)*(r + 1)**2/4
Suppose 4*q = -3*b + 6, -5*b + 7*q - 3*q = -42. Suppose 3*f + 3*g - 15 = b*g, 4*f + g = 5. Factor 1/2*r**5 + 2*r**3 - 5/2*r + 1 + r**2 - f*r**4.
(r - 2)*(r - 1)**3*(r + 1)/2
Let t(x) = -x**5 - x**4 + x**3 - 7*x**2 - x + 1. Let w(u) = 2*u**5 - 2*u**4 + 35*u**3 + 27*u**2 - 114*u - 84. Let d(j) = 3*t(j) + w(j). Let d(v) = 0. What is v?
-9, -1, 3
Let q(m) be the first derivative of 3*m**5/5 - 9*m**4/2 - 25*m**3 - 27*m**2 + 763. Find b such that q(b) = 0.
-2, -1, 0, 9
Let p be (-22)/(75/(-18) + 4). Suppose 72*g - 12 - p*g**2 + 5*g**3 + 44 + 23*g**3 = 0. Calculate g.
-2/7, 1, 4
Let c(o) be the first derivative of 4/5*o + 0*o**2 + 5 - 4/15*o**3. Suppose c(q) = 0. Calculate q.
-1, 1
Factor -5*r**3 + r**2 - 4*r**2 + 3*r**2 + 5*r**5.
5*r**3*(r - 1)*(r + 1)
Let q(m) be the second derivative of 3/4*m**5 + 0*m**2 - 1/6*m**6 - 10/3*m**3 + 0*m**4 + 0 + 12*m. Find l, given that q(l) = 0.
-1, 0, 2
Let k(x) be the first derivative of x**3 + 153*x**2/2 - 486*x - 580. Factor k(h).
3*(h - 3)*(h + 54)
Let p(g) be the second derivative of -15*g**7/7 + 157*g**6/10 - 147*g**5/10 - 51*g**4 + 4*g**3 + 48*g**2 + 192*g. Find h, given that p(h) = 0.
-2/3, -1/2, 2/5, 2, 4
Factor -24*w + 3*w**2 + 112 - 53 - 59.
3*w*(w - 8)
Let n(v) be the first derivative of v**4/102 - 4*v**3/51 + 4*v**2/17 - 32*v + 42. Let r(m) be the first derivative of n(m). Factor r(s).
2*(s - 2)**2/17
Factor -7/5*j**2 + 23/5*j - 16/5.
-(j - 1)*(7*j - 16)/5
Let c(x) be the first derivative of -2*x**5/15 - x**4/6 + 2*x**3/9 + x**2/3 + 93. Factor c(d).
-2*d*(d - 1)*(d + 1)**2/3
Let k(y) be the first derivative of 7*y**4/24 + 34*y**3/9 - 5*y**2/3 + 106. Factor k(n).
n*(n + 10)*(7*n - 2)/6
Factor 12 + 4/3*r - 4/3*r**3 - 12*r**2.
-4*(r - 1)*(r + 1)*(r + 9)/3
Suppose -12 - 8 = -5*n. Suppose 2*z + 4*z**n - 12*z**2 - 4*z**3 + 8 + 7*z**3 - 6*z + z**3 = 0. Calculate z.
-2, -1, 1
Determine o, given that 0 + 2/9*o**2 + 2*o = 0.
-9, 0
Suppose -i - 152 = 2*x, x = -4*i + 2*x - 581. Let g = 149 + i. Factor 1/2*n**2 + 1/6 - 1/2*n - 1/6*n**g.
-(n - 1)**3/6
Suppose -29*d + 18*d = 0. Let h(r) be the third derivative of 0*r + 0 + 1/14*r**3 - 1/140*r**5 - 2*r**2 + d*r**4. Determine y so that h(y) = 0.
-1, 1
Let b be 1 - 6*3/(-6). Let d be 3/(-9) + (-1 + -2)/(-3). Suppose -2/3*q + 2/3*q**3 - 2/3*q**b + 0 + d*q**2 = 0. Calculate q.
-1, 0, 1
Factor 0 - 30/13*b + 28/13*b**2 + 2/13*b**3.
2*b*(b - 1)*(b + 15)/13
Let h be 2/(-4)*(-10 - -10 - 0). Let k(v) be the second derivative of 0 + h*v**6 + 6*v + 1/168*v**7 - 1/24*v**4 - 1/20*v**5 + 1/4*v**2 + 1/8*v**3. Factor k(i).
(i - 2)*(i - 1)*(i + 1)**3/4
Let m(x) = 4*x**5 + 23*x**4 - 15*x**3 - 52*x**2 + 37*x - 3. Let w(u) = u**4 - u**3 - u - 1. Let n(p) = m(p) - 3*w(p). Factor n(q).
4*q*(q - 1)**2*(q + 2)*(q + 5)
Suppose 0 = -2*o - r - 5, 5*o + 5*r = 8*o - 25. Factor 1/2*p**3 + 0 + 0*p + o*p**2.
p**3/2
Let a(i) = 16*i**3 + 24*i**2 - 12*i - 16. Let j(o) = -16*o**3 - 25*o**2 + 13*o + 18. Let m(s) = 5*a(s) + 6*j(s). Factor m(r).
-2*(r - 1)*(r + 2)*(8*r + 7)
Solve -15*m**3 - 70*m**2 + 160*m**5 + 5*m**3 - 155*m**5 + 5*m + 35 + 35*m**4 = 0.
-7, -1, 1
Suppose -35*p + 36*p = 3*y - 10, -3*y - 4*p - 10 = 0. Factor 0*d - 2/7*d**y + 0.
-2*d**2/7
Factor 10*g**3 + 50/3*g**4 - 160/3*g**2 + 5/3*g**5 - 30 - 235/3*g.
5*(g - 2)*(g + 1)**3*(g + 9)/3
Let w(x) be the third derivative of -1/8*x**4 + 0*x - 1/120*x**5 - 1 + 0*x**3 + 29*x**2. Factor w(a).
-a*(a + 6)/2
Let d(x) be the third derivative of -1/525*x**7 + 0*x + 0*x**4 + 0 + 1/150*x**5 + 18*x**2 + 0*x**3 + 0*x**6. Factor d(k).
-2*k**2*(k - 1)*(k + 1)/5
Let t = -5660 - -5662. Suppose -1/2*x + 0 - 1/2*x**t = 0. What is x?
-1, 0
Suppose 6156*c - 6164*c = -24. Solve 50*f**2 + 45/2*f**c + 5 + 65/2*f = 0.
-1, -2/9
Factor 4*w**2 + 10*w**3 + 4*w**4 + 10*w**5 - 4*w**4 - 4*w**2 - 25*w**4.
5*w**3*(w - 2)*(2*w - 1)
Suppose -13*i + 68 = -10. Suppose -i*r**4 + 4*r**4 + 10*r**3 - 18*r - 5*r**2 - r**2 = 0. Calculate r.
-1, 0, 3
Suppose 0 = 224*k - 221*k - 12. Let g(i) be the second derivative of 1/60*i**5 + 1/12*i**4 - k*i - 2/3*i**2 + 0*i**3 + 0. Factor g(p).
(p - 1)*(p + 2)**2/3
Factor 9*c + 128 - 12*c**2 + 13*c + 162*c.
-4*(c - 16)*(3*c + 2)
Let k(b) be the third derivative of -b**5/120 + 19*b**4/24 + 730*b**2. Factor k(s).
-s*(s - 38)/2
Let w(l) be the second derivative of -l**7/28 + 3*l**6/10 - 3*l**5/4 + 11*l**3/4 - 9*l**2/2 - l - 2. Find k such that w(k) = 0.
-1, 1, 2, 3
Let y be (-612)/(-14) + 4/14. Let p = 49 - y. Factor 0*i + 1/4*i**4 - 1/4*i**3 - 1/4*i**2 + 0 + 1/4*i**p.
i**2*(i - 1)*(i + 1)**2/4
Suppose 2*g = -3*w + 8, 0 = -g + w + 2 + 2. Factor 5*j**g - 17*j**2 - 10*j**3 + 82 - 3*j**2 - 67 + 10*j.
5*(j - 3)*(j - 1)*(j + 1)**2
Suppose -6*w = -10*w + 16. Find h such that -81*h**3 - 196*h**5 - 16 + 2*h**2 - 70*h**2 - 96*h + 373*h**3 + 84*h**w = 0.
-1, -2/7, 1
Let l(v) = -7*v**5 + 116*v**4 + 142*v**3 - 251*v**2 - 11*v. Let i(u) = u**5 - 23*u**4 - 28*u**3 + 50*u**2 + 2*u. Let a(r) = 11*i(r) + 2*l(r). Factor a(s).
-3*s**2*(s - 1)*(s + 4)**2
Factor 709*i**4 - 12*i**3 - 704*i**4 - 3*i**3.
5*i**3*(i - 3)
Suppose 20 = -5*a + 5*v + 80, -42 = -2*a - 4*v. Factor 28*i**2 - 17 + 64*i + 29 + 4*i**3 + 21 + a.
4*(i + 2)**2*(i + 3)
Let b(n) = 4*n**2 + 40*n + 36. Let i(v) = v + 2. Let o be i(-5). Let r(f) = -f**2 - 13*f - 12. Let x(l) = o*b(l) - 8*r(l). Find q such that x(q) = 0.
-3, -1
Find t, given that 5 + 5/4*t**2 - 25/4*t = 0.
1, 4
Let w(r) be the second derivative of r**6/960 - r**3/2 + 10*r. Let k(p) be the second derivative of w(p). Let k(d) = 0. Calculate d.
0
Factor 93*b - 57*b + 28*b**3 - 70*b**4 + 74*b**4 + 60*b**2.
4*b*(b + 1)*(b + 3)**2
Let n(y) be the second derivative of 0 + 2/3*y**3 + 0*y**2 + 5/3*y**4 - 6*y. Suppose n(k) = 0. What is k?
-1/5, 0
Let o(u) be the first derivative of u**6/1800 - u**5/100 + u**4/24 + 8*u**3 + 9. Let w(m) be the third derivative of o(m). Factor w(k).
(k - 5)*(k - 1)/5
Let q(j) be the first derivative of -3*j**5/100 - j**4/20 - j**3/30 - 6*j**2 + 6. Let p(l) be the second derivative of q(l). Determine y, given that p(y) = 0.
-1/3
Let s be (-1)/3*0/(-8 + 2). Suppose s = f + 10*f. Factor 0*u + f*u**3 + 0 + 0*u**2 - 2/13*u**4.
-2*u**4/13
Let u be 0/((-4)/(-1)*(3 - 4)). Let r(p) be the second derivative of -1/10*p**6 + 1/2*p**4 + 0*p**3 + 3/20*p**5 + u*p**2 - 4*p + 0. Find i, given that r(i) = 0.
-1, 0, 2
Let f = 15247/236 - 7116369/111628. Let a = f + -11/86. Suppose -2/11 - 6/11*m**2 + a*m = 0. Calculate m.
1/3, 1
Let q(c) be the second derivative of 11*c**5/40 - c**4/12 + 41*c. Determine z so that q(z) = 0.
0, 2/11
Determine k, given that -k**2 - 342*k + 356*k + 3*k**2 - 6 + 18 = 0.
-6, -1
Find w such that 16/5 + 2/5*w**2 + 12/5*w = 0.
-4, -2
Let t = 846 + -867. Let m(p) = -p**2 - 8*p + 2. Let x be 1*(2 - (5 + 0)). Let q(f) = f. Let o(w) = t*q(w) + x*m(w). Solve o(n) = 0 for n.
-2, 1
Let -8 + 41*j + 11*j - 179*j**3 + 356*j**3 - 118*j**3 - 102*j**2 + 20*j**4 - 21*j**5 = 0. Calculate j.
-2, 2/7, 2/3, 1
Let b(w) = -3*w**3 + 8*w**2 + 21*w - 48. Let s be b(2). Factor 0 + 3/7*p**s + 9/7*p**4 + 0*p + 9/7*p**3 + 3/7*p**5.
3*p**2*(p + 1)**3/7
Let i(w) be the third derivative of -w**6/600 + 17*w**5/300 + 37*w**4/120 + 19*w**3/30 + 277*w**2. Solve i(k) = 0.
-1, 19
Let p(l) be the third derivative of 11/60*l**6 + 11*l**2 - 3/8*l**4 - 1/4*l**5 + 0*l + 0 + 1/3*l**3. Factor p(f).
(f - 1)*(2*f + 1)*(11*f - 2)
Let b(q) = 5*q + 37. Let m be b(-7). Factor -8/15*a + 2/5 + 2/15*a**m.
2*(a - 3)*(a - 1)/15
Suppose -x = -n + 4*x + 27, 0 = x + 5. Factor 16 + n*o + 4*o**3 + 24*o**2 + 11*o + 23*o.
4*(o + 1)**2*(o + 4)
Determine d so that -4*d**2 + 9*d - 2*d - 2*d + 3*d**2 