 - 71*y**5/60 - 35*y**4/4 - 147*y**3/4 - 183*y**2. Factor f(g).
-(g + 3)**2*(g + 7)**2/2
Let g(p) = 5*p + 34. Let v be g(-6). Suppose f - 19 = 4*y - 5, 0 = 3*f - v*y - 18. Factor 1/7*c**4 + 0*c - 2/7*c**f + 1/7 + 0*c**3.
(c - 1)**2*(c + 1)**2/7
Let b be ((1323/(-9))/7)/(-7). Factor 0 + 0*o + 5/6*o**b - 5/6*o**2.
5*o**2*(o - 1)/6
Let r(t) be the first derivative of t**6/2160 - t**5/360 + t**4/144 + 4*t**3/3 - 7. Let c(z) be the third derivative of r(z). Suppose c(k) = 0. Calculate k.
1
Let s(k) = -7*k**2 + 9*k + 5. Let j(p) = 4*p**2 - 5*p - 3. Let g(z) = 10*j(z) + 6*s(z). Factor g(w).
-2*w*(w - 2)
Let c(g) be the first derivative of -2*g**3/21 - 20*g**2/7 - 38*g/7 + 47. Suppose c(r) = 0. What is r?
-19, -1
Let k be (-2 - -3)*5/25. Solve 0 + 3/5*a**4 - 3/5*a**2 - k*a**3 + 1/5*a = 0.
-1, 0, 1/3, 1
Let a(d) be the third derivative of -d**7/280 - d**6/40 - d**5/20 - 116*d**2. Determine w, given that a(w) = 0.
-2, 0
Let m = -7814 - -7814. Let 1/3*c + 5/6*c**2 + m = 0. What is c?
-2/5, 0
Let k be (4 - (-876)/42) + (-10)/(-35). Let l be 1466/21 + (-4)/6. Find y, given that -k*y - l*y**2 - 16/7 = 0.
-2/11
Let l(c) be the first derivative of -3*c**5/25 + 3*c**4/10 + c**3/5 - 3*c**2/5 + 179. Determine a so that l(a) = 0.
-1, 0, 1, 2
Let m(q) be the third derivative of q**7/840 + q**6/240 - q**5/20 + 5*q**4/24 + 7*q**2. Let b(u) be the second derivative of m(u). Factor b(p).
3*(p - 1)*(p + 2)
Let d be 57/(-63) + (-4)/42. Let o be (1 + 4 + -2)/(0 - d). Find w, given that -1/2*w**2 + 1/2*w**4 + 0 - 1/2*w + 1/2*w**o = 0.
-1, 0, 1
Let h(i) be the first derivative of i**4/2 + 16*i**3/3 + 12*i**2 - 14. Factor h(g).
2*g*(g + 2)*(g + 6)
Let v(h) = 149*h**3 + 23*h**2 - 97*h + 29. Let p(i) = -150*i**3 - 24*i**2 + 96*i - 30. Let z(g) = 2*p(g) + 3*v(g). Factor z(f).
3*(f + 1)*(7*f - 3)**2
Let m(w) be the second derivative of 0*w**3 + 0 + 1/50*w**6 - 1/10*w**4 + 0*w**2 - 11*w - 3/100*w**5. Solve m(y) = 0 for y.
-1, 0, 2
Suppose 4*h - h = 3*l - 27, -85 = -4*l + 11*h. Factor -3/2*q**l + 9/2*q - 3.
-3*(q - 2)*(q - 1)/2
Factor 2324 + 150*b**2 - 3750*b - 32*b**3 + 12*b**3 + 2356 + 26570 + 18*b**3.
-2*(b - 25)**3
Let n(d) = -4*d + 21. Let f be n(2). Suppose -f*h + 8 + 44 = 0. Factor 0*p**2 + 1/3*p**h + 1/3*p**5 + 0*p**3 + 0 + 0*p.
p**4*(p + 1)/3
Let s(k) be the first derivative of 0*k**2 + 0*k - 1/2520*k**6 + 1 + 1/840*k**5 - 4/3*k**3 + 0*k**4. Let a(h) be the third derivative of s(h). Factor a(g).
-g*(g - 1)/7
Let k(z) = -13*z**2 + 85*z - 205. Let b be (-4 - -2) + -1 + -2. Let w(y) = -6*y**2 + 42*y - 102. Let h(r) = b*w(r) + 2*k(r). Let h(s) = 0. Calculate s.
5
Let m(a) be the first derivative of -a**4/12 - a**3/6 + a**2 + 6*a - 14. Let v(p) be the first derivative of m(p). Factor v(l).
-(l - 1)*(l + 2)
Let b(p) be the third derivative of 0*p + 0 + 4*p**2 + 2/9*p**3 + 2/35*p**7 + 4/15*p**6 + 22/45*p**5 + 4/9*p**4. Factor b(s).
4*(s + 1)**2*(3*s + 1)**2/3
Solve 512 + 1/2*m**2 + 32*m = 0 for m.
-32
Let q(f) be the second derivative of -1/18*f**4 + 3*f - 16/3*f**2 + 8/9*f**3 + 0. Factor q(k).
-2*(k - 4)**2/3
Suppose -150/11*v**2 - 14*v - 46/11*v**3 - 52/11 + 2/11*v**4 = 0. Calculate v.
-1, 26
Let t be (123/410)/(6/15). Factor 1/2 - t*d + 1/4*d**2.
(d - 2)*(d - 1)/4
Suppose 181*m + 4 - 181*m - 4*m**2 = 0. Calculate m.
-1, 1
Let n be (-1924)/(-260) - (-15)/6*(-98)/35. Factor 6/5 - n*a**2 - 4/5*a.
-2*(a - 1)*(a + 3)/5
Let f = 128/567 - 2/567. Let -4/9*g - 2/9*g**2 - f = 0. What is g?
-1
Suppose -3*o - 3*z = -7*o - 12, 2*o = -z + 4. Let i(h) be the second derivative of 1/4*h**4 + 0 + 5*h + o*h**2 + 1/3*h**3. Factor i(y).
y*(3*y + 2)
Let w(s) be the second derivative of s**4/18 - 2*s**3/3 + 5*s**2/3 + 2*s + 20. Determine c so that w(c) = 0.
1, 5
Factor 87/4*k**2 - 43/2 - 85/4*k**3 - 1/4*k**4 + 85/4*k.
-(k - 1)**2*(k + 1)*(k + 86)/4
Let 0 + 6*s**2 - 4/3*s + 22/3*s**3 = 0. Calculate s.
-1, 0, 2/11
Factor -220/19*s + 64/19 - 14/19*s**2.
-2*(s + 16)*(7*s - 2)/19
Let v be (0 - (-1 - -1))*433/(-433). Factor -1/4*a**3 - 1/4*a**5 + 0*a + 1/2*a**4 + 0*a**2 + v.
-a**3*(a - 1)**2/4
Let b(x) be the third derivative of -x**8/2016 - x**7/315 + x**6/180 + 11*x**5/180 - x**4/48 - x**3/2 + 578*x**2. Find h such that b(h) = 0.
-3, -1, 1, 2
Let c = -5391/2 + 2696. Factor -1/2*t**2 - c - t.
-(t + 1)**2/2
What is r in -6*r - 31/2*r**2 - 7/2*r**3 + 0 = 0?
-4, -3/7, 0
Let a = 3 - 3. Suppose -h - 4*h + 7 = -2*y, 4*h - 12 = a. Factor -4*z - 31*z**4 - y - 40*z**2 + 11*z**4 + 7*z + 4*z**5 + 17*z + 40*z**3.
4*(z - 1)**5
Let s(r) be the second derivative of 4*r**7/105 + 11*r**6/60 + r**5/6 - r**4/6 - 15*r**2 - 13*r. Let i(d) be the first derivative of s(d). Factor i(a).
2*a*(a + 1)*(a + 2)*(4*a - 1)
Let n(s) = -s**3 + s**2 + 5*s + 3. Let x be n(-1). Let l(w) be the second derivative of -1/3*w**3 + 0*w**2 + 1/12*w**4 + x - 4*w. Factor l(y).
y*(y - 2)
Find m such that 13*m**4 - 11*m**3 + 19*m**4 - 31*m**4 + 10*m**2 = 0.
0, 1, 10
Let i be (196 + -1)*(-22)/66. Let x = 67 + i. Factor -2*w**3 + x*w - 3 + 8/3*w**2 + 1/3*w**4.
(w - 3)**2*(w - 1)*(w + 1)/3
Let p(q) = 2*q**4 - q**3 - 13*q**2 - 9*q + 6. Let x(n) = -2*n**4 + 12*n**2 + 8*n - 6. Let s(j) = -4*p(j) - 5*x(j). Find o, given that s(o) = 0.
-3, -1, 1
Let l = -1/1946 + 15577/17514. Factor 4/3*i**2 - l*i + 0 - 4/9*i**3.
-4*i*(i - 2)*(i - 1)/9
Let s(v) be the second derivative of 4*v - 3 + 2/3*v**3 + 2*v**2 - 1/3*v**4 - 1/5*v**5. Solve s(k) = 0.
-1, 1
Let x(l) be the third derivative of l**7/180 + l**6/80 - l**5/72 - l**4/16 - l**3/18 - 14*l**2 - 4. Factor x(a).
(a - 1)*(a + 1)**2*(7*a + 2)/6
Determine f so that -672*f**2 + 6*f**3 - 10*f - 12*f**4 + 2*f**3 + 684*f**2 + 2*f**5 = 0.
-1, 0, 1, 5
Let b(t) = -t**5 + 3*t**4 + 8*t**3 - 6*t**2 + 5*t - 3. Let d(a) = -a**3 - a + 1. Let s(q) = -5*b(q) - 30*d(q). Suppose s(i) = 0. What is i?
-1, 1, 3
Let l be (2288/48)/13 - (0 + 3). What is d in l*d + 1/3*d**2 - 1 = 0?
-3, 1
Let y = 11972/5 + -83744/35. Suppose -15/7*q - y - 3/7*q**2 = 0. Calculate q.
-4, -1
Let v be (-16247)/(-4220) - (-1)/(-4). Factor 0 + v*h**4 + 26/5*h**2 - 4/5*h - 48/5*h**3.
2*h*(h - 2)*(3*h - 1)**2/5
Let k be (-442)/(-24752)*4/(1 + 0). Let a(y) be the first derivative of -3 - k*y**4 - 2/7*y**2 + 0*y - 2/7*y**3. Solve a(h) = 0.
-2, -1, 0
What is r in -6 - 237373*r**3 - 690*r + 1 - 31740*r**2 - 249307*r**3 = 0?
-1/46
Let t be (-16)/56 - (-26)/42 - 10/30. Let n be (40/(-6))/(-4) - 1. Factor t + n*r + 1/3*r**3 + r**2.
r*(r + 1)*(r + 2)/3
Let z(v) be the first derivative of -5*v**6/3 + 361*v**5/10 - 1637*v**4/8 + 21*v**3/2 + 81*v**2/4 + 103. Solve z(b) = 0 for b.
-1/5, 0, 1/4, 9
Let x be (-27)/33 + 1 + 0. Let i = 23769 - 261457/11. Factor 4/11*t - x*t**2 - i.
-2*(t - 1)**2/11
Solve -56/3*k - 1/3*k**4 + 53/3*k**2 - 17/3*k**3 + 20/3 + 1/3*k**5 = 0 for k.
-5, 1, 2
Suppose 2*t + 4*c - 3*c - 17 = 0, t = -2*c + 13. What is h in -3*h**5 + t*h**4 - 4*h**4 + 3*h**4 + 3*h**4 - 12*h**2 = 0?
-1, 0, 2
Let q be -4*(-7)/(-7) - (-11 - -1). Let a = 36/5 - q. Determine u, given that 0 + 3/5*u**2 + a*u = 0.
-2, 0
Let b(d) = 5*d**2 - 45*d - 108. Let k be b(11). Suppose s**k + 0*s**3 + 0 + 1/2*s**5 - s**4 - 1/2*s = 0. Calculate s.
-1, 0, 1
Let n(z) be the second derivative of z**6/360 + z**5/36 + z**4/9 + 2*z**3/9 + 21*z**2 + 24*z. Let a(b) be the first derivative of n(b). Solve a(u) = 0.
-2, -1
Let x(r) be the first derivative of 1/30*r**4 + 3/5*r**2 + 6*r + 4/15*r**3 - 11. Let q(c) be the first derivative of x(c). Let q(k) = 0. What is k?
-3, -1
Let b(z) be the first derivative of -4/5*z**5 + 4/3*z**3 + 0*z + 0*z**2 + 0*z**4 - 16. Factor b(n).
-4*n**2*(n - 1)*(n + 1)
Let y = -7267 + 43603/6. Factor 2/3*z + y*z**2 - 5/6.
(z - 1)*(z + 5)/6
Let x = -450 + 453. Let r(w) be the first derivative of 4/9*w**x + 0*w + 1/3*w**2 + 5 + 1/10*w**5 - 11/24*w**4. Factor r(t).
t*(t - 2)**2*(3*t + 1)/6
Let l(r) = r**5 - 4*r**4 + 17*r**2 - 8*r + 1. Let f(j) = j**2 - j + 1. Let u = 22 + -26. Let a(t) = u*l(t) + 28*f(t). What is k in a(k) = 0?
-1, 1, 2, 3
Let g(f) = 9*f**2 + 236*f + 14400. Let d(l) = -16*l**2 - 473*l - 28800. Let m(w) = 4*d(w) + 7*g(w). Solve m(z) = 0.
-120
Let i be (1 + 5 - 1*2)*1269/1410. Factor -i - 2/5*d**2 - 12/5*d.
-2*(d + 3)**2/5
Factor -21*w**3 - 7*w**2 - 162074 + 162074 - 4*w**5 - 16*w**4 + w**3 - w**2.
-4*w**2*(w + 1)**2*(w + 2)
Suppose 0 = 63*m - 27 - 95 - 4. Facto