 17*s**2 + 19*s + 125. Let j(x) = -3*c(x) + 14*o(x). Factor j(w).
-2*(w - 8)*(w - 4)*(w + 2)
Let o(r) be the third derivative of -r**5/300 - 19*r**4/20 - 1083*r**3/10 + 7*r**2. Factor o(y).
-(y + 57)**2/5
Suppose -p = -3*p + 138. Let r = p - 69. Factor -3*t + r - 27/2*t**3 - 33/2*t**2.
-3*t*(t + 1)*(9*t + 2)/2
Let m(t) be the first derivative of 0*t - 7/2*t**4 - 6*t**3 - 2*t**2 + 6. Factor m(c).
-2*c*(c + 1)*(7*c + 2)
Let n = 195/2 + -971/10. Let a(m) be the first derivative of -1/2*m**4 + 5 + 0*m + 0*m**2 + 0*m**3 - n*m**5. Factor a(q).
-2*q**3*(q + 1)
Let d be ((-3)/126 + (-115)/690)*(-70)/12. What is v in -d*v**4 - 4/3*v**5 + 2/9*v**3 + 0 + 0*v**2 + 0*v = 0?
-1, 0, 1/6
Suppose 5*m - 3*y - 1 = 18, -m = 3*y + 7. Let x(j) be the first derivative of 3*j**m - 2*j + 7/6*j**3 - 4. Factor x(t).
(t + 2)*(7*t - 2)/2
Factor 46 - 80 + 88*d + 34 + 4*d**2.
4*d*(d + 22)
Let s = -21 - -27. Suppose o - s*o = 0. Factor -8*n**2 + o*n**4 - n**4 + 4*n**4 + n**4 + 4.
4*(n - 1)**2*(n + 1)**2
Let u be ((-6)/(-165))/(12/50). Let p(t) be the second derivative of 7/66*t**4 - u*t**3 + 2*t + 0 - 2/11*t**2. Suppose p(g) = 0. What is g?
-2/7, 1
Suppose 0 = -p - i - 3*i + 12, 0 = -5*p + 2*i + 16. Solve 24*u - 24*u - 3*u**p = 0.
0
Let p(d) = 237*d**2 + 44*d + 7. Let r(l) = 236*l**2 + 44*l + 8. Suppose -4*k + 21 = q, 4*k - 5*k + 8 = 3*q. Let a(j) = k*r(j) - 6*p(j). Factor a(h).
-2*(11*h + 1)**2
Suppose -126 = 109*r - 108*r. Let i = r + 126. Factor -21/2*b**3 - 3*b**2 + 3/2*b + i - 6*b**4.
-3*b*(b + 1)**2*(4*b - 1)/2
Suppose -4*z = 5*g + 58, -2*g + 38 = -5*g - 4*z. Let u = g + 13. Determine w so that -4/13 - 34/13*w + 54/13*w**4 - 54/13*w**u - 90/13*w**2 = 0.
-1/3, 2
Let s = 127/930 - 1/310. Let d(f) be the first derivative of 0*f - 5 + s*f**3 + 1/5*f**2. Solve d(m) = 0.
-1, 0
Let j = -109513/5 - -21903. Factor -j*d**2 + 0 + 2/5*d.
-2*d*(d - 1)/5
Let h(q) be the third derivative of -q**11/221760 - 17*q**5/60 - 8*q**2. Let l(r) be the third derivative of h(r). Factor l(v).
-3*v**5/2
Let o(u) be the third derivative of u**7/42 - 7*u**6/24 + 3*u**5/4 + 35*u**4/24 - 25*u**3/3 - 305*u**2. Suppose o(i) = 0. Calculate i.
-1, 1, 2, 5
Let w = -5 + 0. Let s be w/1*6/(-15). Factor 0*u**3 - 9*u**2 - 3*u**3 - 27 + 6*u**3 + 27*u - s*u**3.
(u - 3)**3
Suppose 0 = 2*q - 3*x - 7, 0 = -2*q - 4*x - x + 15. Suppose 18 + 2 = q*n. Factor -24 + n*k**3 - 36*k**2 + 108*k - 83 - 1.
4*(k - 3)**3
Let v(b) be the second derivative of b**5/12 + 15*b**4/4 + 135*b**3/2 - 11*b**2/2 + b. Let c(p) be the first derivative of v(p). Factor c(d).
5*(d + 9)**2
Let v be (-47)/(-9) + -1 - (-32)/(-144). Suppose -402*m**2 + 0 - v + 398*m**2 + 10*m = 0. Calculate m.
1/2, 2
Let j(a) be the first derivative of -5*a**6/6 - 95*a**5 - 5755*a**4/2 - 10570*a**3/3 + 11515*a**2/2 + 11045*a - 562. Find n, given that j(n) = 0.
-47, -1, 1
Suppose w - 18 = 4*w - 12*w. Factor -18*d + 54 + 3/2*d**w.
3*(d - 6)**2/2
Let a(t) be the third derivative of t**6/120 + t**5/10 - t**4/24 - t**3/2 - t**2. Let s be a(-6). Factor 495 - 495 + 6*z**2 + 6*z**s + 3*z**3 - 3*z**5.
-3*z**2*(z - 2)*(z + 1)**2
Let y = -13757 - -82543/6. Factor -y*g**2 + 1/2*g - 1/3.
-(g - 2)*(g - 1)/6
Let y(m) be the second derivative of 0*m**4 - 7*m - 1/6*m**2 + 1/9*m**3 + 0 + 1/90*m**6 - 1/30*m**5. Determine d, given that y(d) = 0.
-1, 1
Let r be (-4*(-2)/20)/(24/(-720)). Let m be (20/(-25))/(r/10). Find k, given that 1/3*k**5 + 0 + 0*k + m*k**3 - k**4 + 0*k**2 = 0.
0, 1, 2
Suppose 0*l = 15*l - 4*l - 22. Factor -3/4 + 3/8*s + 9/8*s**l.
3*(s + 1)*(3*s - 2)/8
Let h(y) be the first derivative of 2/3*y + 7/3*y**2 - 3*y**4 - 18/5*y**5 + 3*y**6 + 20/9*y**3 + 49. What is c in h(c) = 0?
-1/3, 1
Determine z so that -3/2 - 5/2*z - 1/6*z**3 - 7/6*z**2 = 0.
-3, -1
Let c = -11945 - -11949. Determine x so that 11/4*x**2 + 4*x**3 + 0 + 7/4*x**c + 1/2*x = 0.
-1, -2/7, 0
Solve -8/3*y**2 + 1/3*y**5 + 16/3*y**3 - 16/3*y - 7/3*y**4 + 16/3 = 0 for y.
-1, 2
Let g(m) be the second derivative of -m**7/56 - 3*m**6/10 - 21*m**5/80 + 3*m**4 + 11*m**3/2 + 33*m + 4. Suppose g(o) = 0. Calculate o.
-11, -2, -1, 0, 2
Suppose -27*i + 140 = 86. Solve -116/3*d**i + 8/3 - 36*d = 0 for d.
-1, 2/29
Factor 0*j + 2/3*j**4 + 8/3*j**3 + 0 + 8/3*j**2.
2*j**2*(j + 2)**2/3
Let k(a) be the first derivative of a**7/1575 + a**6/900 - a**5/90 + a**4/60 - a**2 - 6. Let r(u) be the second derivative of k(u). Find n such that r(n) = 0.
-3, 0, 1
Let c(u) = -u**3 - u**2 + 1. Let y(h) = -2*h**3 - 25*h**2 + 29*h + 17. Let t(b) = 20*c(b) - 4*y(b). Factor t(w).
-4*(w - 4)*(w - 3)*(3*w + 1)
Suppose -5*t - a = -13, -a = 2*t - 0*t - 4. Factor -45*k**2 + 29*k**2 - 13*k**3 - 2*k**t + 6*k + 25*k**2.
-3*k*(k - 1)*(5*k + 2)
Let l(s) = -2*s. Let u(m) = 5*m**2 - 13*m + 4. Let x(w) = 2*l(w) - u(w). Factor x(r).
-(r - 1)*(5*r - 4)
Let u(a) be the third derivative of -a**5/90 + 7*a**4/3 + 85*a**3/9 - 2*a**2 - 123*a. Factor u(s).
-2*(s - 85)*(s + 1)/3
Let z(l) be the third derivative of l**9/10080 - 3*l**8/4480 + l**7/840 - l**4/6 + 2*l**2. Let d(w) be the second derivative of z(w). Find s such that d(s) = 0.
0, 1, 2
Let u be 256/(-160) + 1092/595. Factor 4/17 - u*c**2 - 6/17*c + 6/17*c**3.
2*(c - 1)*(c + 1)*(3*c - 2)/17
Let u = -107867/3 + 35958. Factor 0 + u*s - 1/3*s**2.
-s*(s - 7)/3
Let r(i) be the first derivative of 17 - 1/2*i - 1/12*i**2 + 1/6*i**3 + 1/24*i**4. Determine d so that r(d) = 0.
-3, -1, 1
Let h = 1646/1233 - 2/1233. Suppose 5*a - 8 - 2 = 0. Let 2*f + h + 2/3*f**a = 0. Calculate f.
-2, -1
Let g be (-10 + 996/100)/(4/(-30)). Let y(u) be the second derivative of 0*u**3 + 3/4*u**5 - 5*u + 0*u**2 + g*u**6 + 1/2*u**4 + 0. Factor y(z).
3*z**2*(z + 1)*(3*z + 2)
Let q be 3/4 + (-3729)/44. Let s = -48 - q. Let 12*j**3 - j**4 + s*j**2 + 4*j**4 + 6*j**3 + 36*j - 12*j = 0. What is j?
-2, 0
Find l, given that 4/11*l**2 - 2/11 - 2/11*l - 2/11*l**4 - 2/11*l**5 + 4/11*l**3 = 0.
-1, 1
Let j(s) be the third derivative of 0 + 1/120*s**6 + 0*s - 1/3*s**3 - 13*s**2 - 1/8*s**4 + 0*s**5. Factor j(u).
(u - 2)*(u + 1)**2
Let c(p) = 5*p**3 - 33*p**2 + 50*p - 2. Let y(i) = i**2 - 1. Let a(o) = -c(o) + 2*y(o). Factor a(d).
-5*d*(d - 5)*(d - 2)
Suppose 5*i = 3*l - 160, -3*i + 4 = 1. Suppose 57*f = l*f. Factor 0*n - 10/7*n**5 - 24/7*n**4 + f - 18/7*n**3 - 4/7*n**2.
-2*n**2*(n + 1)**2*(5*n + 2)/7
Let z(a) be the first derivative of -4*a**4 - 46*a**3/3 - 22*a**2 - 14*a - 101. Factor z(v).
-2*(v + 1)**2*(8*v + 7)
Let a(o) = 10*o**5 - 48*o**4 + 81*o**3 + 103*o**2 + 18. Let j(f) = -2*f**5 + 12*f**4 - 20*f**3 - 26*f**2 - 4. Let z(b) = 2*a(b) + 9*j(b). Factor z(d).
2*d**2*(d - 2)*(d + 1)*(d + 7)
Factor -8/5*u - 2/5*u**4 - 2*u**3 - 16/5*u**2 + 0.
-2*u*(u + 1)*(u + 2)**2/5
Let n = 86 + -61. Let s be 10/n + 36/10. Let -s*x + 2*x**3 + 4*x**2 - 4*x**4 - 6*x**3 + 8*x**3 = 0. Calculate x.
-1, 0, 1
Let v = 25/6 - 4. Let d = 1/12 + v. Determine q so that d*q**2 + q + 3/4 = 0.
-3, -1
Let t(k) = -k**5 - 18*k**4 - 2*k**3 - 7*k**2. Let i(g) = 6*g**4 + 2*g**2. Let o(a) = -7*i(a) - 2*t(a). Factor o(s).
2*s**3*(s - 2)*(s - 1)
Let b(g) be the third derivative of g**6/150 + g**5/75 - g**4/30 - 2*g**3/15 - 144*g**2. Let b(m) = 0. What is m?
-1, 1
Let v = -18 - -6. Let t = -10 - v. Determine x so that x - x + t*x - 4*x + 8*x**2 = 0.
0, 1/4
Let s(j) = -j**2 - 6*j + 10. Let r be s(-7). Solve r*t**2 - 3*t + t - t = 0 for t.
0, 1
Let h(n) be the first derivative of -n**4/12 + 7*n**3/9 - 4*n**2/3 - 16*n/3 - 9. Determine b so that h(b) = 0.
-1, 4
Let m(n) be the first derivative of -3*n**4/8 + n**3/2 + 9*n**2/2 - 383. Factor m(r).
-3*r*(r - 3)*(r + 2)/2
Suppose 0*y + 51 = 3*y. Suppose -4*x - b + y = 0, -b - 5 = -4*x + 2. Let 1/6*w + 0 - 1/6*w**x - 1/6*w**2 + 1/6*w**4 = 0. Calculate w.
-1, 0, 1
Let m(t) = -3*t**4 - 9*t**2 + 24*t - 18. Let p(u) = 14*u**2 - 1 - 5*u**2 + 20 + u**3 - 2 - 24*u + 2*u**4. Let q(v) = -5*m(v) - 6*p(v). Factor q(z).
3*(z - 2)*(z - 1)**2*(z + 2)
Let v = 984 - 964. Suppose 10*o - v - 5/4*o**2 = 0. Calculate o.
4
Let w be 12 + -4 + 18/(-3). Let d(x) be the first derivative of 2/9*x**3 - 2/9*x**4 + 1/9*x**w + 0*x + 6. Solve d(f) = 0 for f.
-1/4, 0, 1
Let p be ((-5)/25)/(63/(-35)). Let v(b) be the second derivative of 0 - p*b**3 - 5*b + 0*b**4 + 1/90*b**5 - 2/9*b**2. Let v(g) = 0. What is g?
-1, 2
Let h(u) be the third derivative of u**7/280 - 101*u**6/40 + 3060