t k(n) = 0.
-2, 34
Let z(u) = 20*u**2 + 59*u - 69. Let h(d) = -7*d**2 - 20*d + 24. Let q(k) = -8*h(k) - 3*z(k). Factor q(j).
-(j + 5)*(4*j - 3)
Let 12/7*z + 3/7*z**3 + 12/7*z**2 + 0 = 0. Calculate z.
-2, 0
Let b = 46 - 44. Factor 3*o**2 - o**b - 4*o - 5*o**3 + 7*o**3 - 4*o - 8.
2*(o - 2)*(o + 1)*(o + 2)
Factor l - 3*l**3 + 107*l**2 - 109*l**2 + 4*l**3 + 0*l**3.
l*(l - 1)**2
Factor -47 + 3*i**3 + 0*i**3 + 33*i - 39 + 27*i**2 + 23.
3*(i - 1)*(i + 3)*(i + 7)
Let b be -3 + 2 - (-16)/240*24. Let k be 6/2 + (2 - 3). Factor -1/5*y**k - 2/5 - b*y.
-(y + 1)*(y + 2)/5
Let p(v) be the first derivative of -v**3/12 + 3*v**2/2 - 9*v - 70. Find r such that p(r) = 0.
6
Let j(t) be the first derivative of 0*t**4 - t + 0*t**2 - 1 + 1/15*t**6 - 1/5*t**5 + 0*t**3. Let c(i) be the first derivative of j(i). Solve c(n) = 0.
0, 2
Let y be 27/(-81)*(-15)/4. Let p(n) be the first derivative of 1/5*n**5 + 3 + 1/2*n + 7/8*n**4 + 3/2*n**3 + y*n**2. Factor p(g).
(g + 1)**3*(2*g + 1)/2
Suppose l + 5*f - 129 = 0, -101 = -2*l - 2*f + 117. Let c be 9/4 - 26/l. Factor 2/5*n**3 + 4/5 + 0*n**c - 6/5*n.
2*(n - 1)**2*(n + 2)/5
Factor -1/2*c**2 - 1/4*c**3 - 1 + 7/4*c.
-(c - 1)**2*(c + 4)/4
Let c(q) be the second derivative of -q**4/4 + q**2/2 + 148*q. Let a(m) = -20*m**2 - m**2 - 2 + 8. Let o(f) = -2*a(f) + 15*c(f). Factor o(t).
-3*(t - 1)*(t + 1)
Suppose 53*b = 3 + 156. Factor 2*a**b - 2/5*a**4 - 4/5 - 18/5*a**2 + 14/5*a.
-2*(a - 2)*(a - 1)**3/5
Suppose 34 - 124 = 5*p. Let v(s) = 1. Let j(y) = -6 + 4*y - 6 + 8*y - 3*y + 3*y**2. Let k(t) = p*v(t) - j(t). Determine u so that k(u) = 0.
-2, -1
Let b(a) = -35*a**2 - 2*a + 1 + 66*a**2 - 32*a**2. Let j(y) = -4*y**2 - 9*y + 4. Let c(i) = 9*b(i) - 2*j(i). Find m such that c(m) = 0.
-1, 1
Let p be 6*-3 - 7040/(-385). Factor 2/7 - 6/7*q + 6/7*q**2 - p*q**3.
-2*(q - 1)**3/7
Let q be (-12)/(-9) + -2 - (-308)/3. Factor -3*k**3 - k**4 + 7*k**3 - q*k**2 + 98*k**2.
-k**2*(k - 2)**2
Suppose -12*t - 2*t = 2*t. Let 0 + 0*r**2 + 1/3*r**4 + t*r + 1/3*r**3 = 0. Calculate r.
-1, 0
Let c(b) be the first derivative of -b**4/32 - b**3/2 + 15*b**2/4 - 8*b - 294. What is n in c(n) = 0?
-16, 2
Determine s so that 64*s - 22*s**2 + 7*s**3 + 82*s**2 + 16 - 8*s**4 - 12*s**4 - 15*s**3 = 0.
-1, -2/5, 2
Solve 9/5*f**2 + 0 - 2/5*f = 0 for f.
0, 2/9
Let x(h) = -6*h + 66. Let b be x(9). Let o be 16/(-56)*(-21)/b. Find k, given that -1/4*k**4 + 0 - 1/4*k**5 + 3/4*k**3 - o*k + 1/4*k**2 = 0.
-2, -1, 0, 1
Let z be (5 + -11)*-2*1. Suppose 2*u + z = 3*u. What is b in 3 + 15*b**2 - 27*b**5 + 6*b**3 + u*b + 8*b**2 + 19*b**2 - 45*b**4 + 9*b = 0?
-1, -1/3, 1
Let d(l) = -l**3 + 7*l**2 + 9*l - 6. Let u be d(8). Factor 0*k + k + 3*k**3 + 3*k**u + 18*k**4 - 17*k**4.
k*(k + 1)**3
Factor 4/5*c**3 + 44/5*c**2 + 0 + 0*c.
4*c**2*(c + 11)/5
Let s = -1 - -4. Suppose 3*t - 48 = -4*d - t, -31 = -3*d + 2*t. Factor -8*g**3 + 2 - 3*g - g**4 - 6*g**2 + d*g**3 + s*g**2 + 2*g**2.
-(g - 2)*(g - 1)**2*(g + 1)
Let y = 245 - 245. Let l(s) be the second derivative of 1/9*s**2 + 5*s + 0*s**3 + 1/135*s**6 + 0 + y*s**5 - 1/27*s**4. Factor l(t).
2*(t - 1)**2*(t + 1)**2/9
Let n(i) be the third derivative of i**6/60 - i**5/10 - 5*i**4/6 - i**2 - 2*i. Factor n(k).
2*k*(k - 5)*(k + 2)
Let f(c) be the first derivative of 5/18*c**4 + 10 - 9*c + 2/3*c**2 - 7/9*c**3. Let o(m) be the first derivative of f(m). Determine b, given that o(b) = 0.
2/5, 1
Suppose -58*o + 53*o = 30. Let j be 1/1 + o/10. Solve -3/5*q + 1/5*q**3 - j + 0*q**2 = 0.
-1, 2
Let g(v) = -5*v**2 + 6*v - 4. Let q(i) = -i**3 + i**2 + 5*i - 1. Let n be q(3). Let r(f) = -f - 1. Let k(h) = n*r(h) + g(h). Determine s so that k(s) = 0.
0, 2
Let v be 95/30 - (-3)/(-18). Factor 10 - 15*a**2 + a + v*a**3 + 2*a**3 - 6*a + 5*a**4.
5*(a - 1)**2*(a + 1)*(a + 2)
Let -33/8*s + 0 - 3/8*s**2 + 33/8*s**3 + 3/8*s**4 = 0. What is s?
-11, -1, 0, 1
Let m(u) be the first derivative of 1/20*u**4 + 9/10*u**2 + 2/5*u**3 + 23 + 0*u. Factor m(z).
z*(z + 3)**2/5
Let f(u) be the first derivative of -u**6/24 - u**5/12 + 5*u**4/12 - 5*u**2/2 + 15. Let g(k) be the second derivative of f(k). Factor g(y).
-5*y*(y - 1)*(y + 2)
Let b(c) be the first derivative of c**4/3 - 14*c**3/3 + 12*c**2 - 47*c + 24. Let y(z) be the first derivative of b(z). Factor y(v).
4*(v - 6)*(v - 1)
Let j be (-2)/(-5) + 306/(-900). Let u(r) be the third derivative of -9/5*r**3 + 0*r + 0 - 8*r**2 + 1/300*r**6 + 9/20*r**4 - j*r**5. Factor u(v).
2*(v - 3)**3/5
Let a = 45 + -303/7. Factor a*g**2 - 3/7*g + 0.
3*g*(4*g - 1)/7
Factor -184*z**2 - 65*z**4 - 5*z**5 + 118*z**2 - 125 - 2*z**2 - 425*z + 0*z**4 - 462*z**2 - 290*z**3.
-5*(z + 1)**3*(z + 5)**2
Let w be (-117)/(-9)*(-1)/((-39)/6). Let c(z) be the third derivative of 0*z**3 + 0*z - 1/20*z**5 + 0 - 1/8*z**4 - 5*z**w. Factor c(x).
-3*x*(x + 1)
Let w = -29 - -12. Let y be 1/(-2) - w/(-2). Let m(t) = -8*t**3 + 31*t**2 - t + 5. Let b(p) = 4*p**3 - 15*p**2 + p - 2. Let x(h) = y*b(h) - 4*m(h). Factor x(n).
-(n - 2)*(n - 1)*(4*n + 1)
Determine j, given that 0*j + 0*j**2 + 0 - 4/3*j**5 + 1/3*j**3 + j**4 = 0.
-1/4, 0, 1
Suppose 0 = -10*j - 5*j - 990. Let x be (-4)/3*j/572. What is m in -2/13*m + 2/13*m**3 + x*m**2 + 0 - 2/13*m**4 = 0?
-1, 0, 1
Let p(n) be the third derivative of -n**7/504 + n**6/144 - 5*n**4/4 - 25*n**2. Let q(w) be the second derivative of p(w). Factor q(d).
-5*d*(d - 1)
Factor -10*z**2 - 162*z**5 + 86*z**5 - 5*z + 10*z**4 + 81*z**5.
5*z*(z - 1)*(z + 1)**3
Let k = 631/3 - 623/3. Let -4*d**2 - k*d**3 + 4/3*d**4 + 16/3*d + 16/3 = 0. Calculate d.
-1, 2
Let x(u) be the third derivative of 1/210*u**6 - 1/1176*u**8 - 1/21*u**3 + 0 - 1/735*u**7 - 1/84*u**4 + 0*u + 1/105*u**5 + 6*u**2. Factor x(s).
-2*(s - 1)**2*(s + 1)**3/7
Let u = -42193 + 42193. Factor u - 2*t**2 - 14/15*t**3 - 6/5*t - 2/15*t**4.
-2*t*(t + 1)*(t + 3)**2/15
Solve -37*j**2 - 87*j + 99*j - 12*j**3 + 57 + 2*j**2 - 21 - j**4 = 0.
-6, -1, 1
Let a(d) = -2*d**3 + 18*d**2 + 17*d + 3. Let z(u) = -4*u**3 + 56*u**2 + 52*u + 8. Let r(w) = -8*a(w) + 3*z(w). Factor r(n).
4*n*(n + 1)*(n + 5)
Let h(l) be the second derivative of -2*l + 5/21*l**3 - 6/7*l**2 - 1/42*l**4 + 9. Factor h(j).
-2*(j - 3)*(j - 2)/7
Let d(r) be the second derivative of r**6/105 + 4*r**5/35 + r**4/2 + 22*r**3/21 + 8*r**2/7 + 2*r - 21. Let d(a) = 0. What is a?
-4, -2, -1
Let y(s) be the first derivative of 13/9*s**4 - 28/45*s**5 - 13 + 1/9*s**6 - 4/9*s + 11/9*s**2 - 16/9*s**3. Factor y(l).
2*(l - 1)**4*(3*l - 2)/9
Factor 23*v**4 - 23*v**4 + 2*v**4 + 36*v**3 + 162*v**2.
2*v**2*(v + 9)**2
Let o(t) be the third derivative of t**6/160 - t**5/80 - 3*t**4/16 - 2*t**2 + 8. Factor o(z).
3*z*(z - 3)*(z + 2)/4
Let 12/5*d + 2/15*d**2 + 0 = 0. Calculate d.
-18, 0
Let j = -49 + 46. Let r be j + (56/6)/2. Solve 2/3*l - r*l**2 + 0 = 0.
0, 2/5
Let z(g) be the third derivative of 0*g + 0 - 48*g**2 - 13/8*g**4 - 9/40*g**6 - g**3 - 6/5*g**5. Factor z(x).
-3*(x + 2)*(3*x + 1)**2
Let g(v) be the first derivative of 11 - 3/2*v + 1/2*v**2 - 1/18*v**3. Determine i, given that g(i) = 0.
3
Let v(f) be the third derivative of f**8/36 - 4*f**7/105 - 11*f**6/45 + 4*f**5/45 + 5*f**4/6 + 4*f**3/9 + 501*f**2. Determine g so that v(g) = 0.
-1, -1/7, 1, 2
Let w(q) be the first derivative of -q**5/35 + 5*q**3/21 - 4*q/7 + 326. Find k, given that w(k) = 0.
-2, -1, 1, 2
Let q(v) be the third derivative of v**6/540 - 7*v**5/135 + 5*v**4/9 - 8*v**3/3 + 22*v**2 + 1. Suppose q(j) = 0. Calculate j.
2, 6
Let h(u) be the second derivative of 40*u**6/3 - 72*u**5 - 811*u**4/3 + 382*u**3 - 180*u**2 - 663*u. Suppose h(b) = 0. Calculate b.
-2, 3/10, 5
Let c = -43 + 62. Suppose h + c = -h - 5*p, -5*p - 25 = 0. Let -h*n**2 + 0*n**2 - 2*n + 5*n = 0. Calculate n.
0, 1
Let w(y) be the first derivative of -y**4/16 - 2*y**3/3 - 3*y**2/2 - 306. Factor w(o).
-o*(o + 2)*(o + 6)/4
Let u(c) be the third derivative of -c**6/840 + c**5/420 + c**4/168 - c**3/42 - 246*c**2 + c. Factor u(l).
-(l - 1)**2*(l + 1)/7
Let s be (4 + -5)/(5/(-75)). Determine r so that -48*r**2 - s*r**3 + 90*r**2 + 6*r**4 + 6*r - 39*r**2 = 0.
-1/2, 0, 1, 2
Suppose -5*j = -j - 8. Let l(q) = 16*q**2 - 1759*q - 110. Let s be l(110). Factor -4/9*a + 2/9*a**j + s.
2*a*(a - 2)/9
Let p(i) be the first derivative of i**4/5 + 268*i**3/15 + 462*i**2 + 4356*i/5 - 319. Factor p(t).
4*(t + 1)*(t + 33)**2/5
Let q be 1/(-1) - -2 - -1 - 