r + 113. Let s(u) = 2*u**2 + 18*u - 105. Let t(j) = 3*i(j) + 4*s(j). Let t(x) = 0. What is x?
9
Let h(c) be the first derivative of 2/13*c - 4/13*c**2 - 2/39*c**3 - 12 + 2/13*c**4. Factor h(q).
2*(q - 1)*(q + 1)*(4*q - 1)/13
Let j(z) be the third derivative of 0 + 1/160*z**5 - 1/64*z**4 + 8*z**2 + 0*z + 0*z**3. Solve j(y) = 0 for y.
0, 1
Let v(f) be the third derivative of -f**7/735 - f**6/420 + f**5/70 + 5*f**4/84 + 2*f**3/21 - 76*f**2. Let v(x) = 0. Calculate x.
-1, 2
Factor 16/7*a + 2/7*a**2 + 32/7.
2*(a + 4)**2/7
Let s(a) = 3*a**3 + 50*a**2 + 192*a + 182. Let o(z) = -4*z**3 - 50*z**2 - 194*z - 181. Let i(g) = -2*o(g) - 3*s(g). Solve i(x) = 0.
-46, -2
Let k(a) be the first derivative of 26 + 1/18*a**3 + 50/3*a + 5/3*a**2. Find m such that k(m) = 0.
-10
Let i(v) = -3*v**4 + 3*v**2 - 3. Let n = 0 + 3. Let t(c) = 0*c**4 + 2*c**3 - 6*c**2 - n*c**3 + c + 6*c**4 - 2 + 9. Let l(d) = 7*i(d) + 3*t(d). Factor l(h).
-3*h*(h - 1)*(h + 1)**2
Let 28*c**2 + 13*c**2 - 4*c**5 - 29*c**2 + 8*c - 12*c**4 - 4*c**3 = 0. What is c?
-2, -1, 0, 1
Determine p, given that -797*p**3 - p**4 + 64*p + 1577*p**3 - 795*p**3 - 48*p**2 = 0.
-8, 0, 1
Let y(t) be the second derivative of 3/11*t**2 + 1/231*t**7 - t - 1 - 1/3*t**3 - 3/55*t**5 - 1/165*t**6 + 7/33*t**4. Solve y(j) = 0 for j.
-3, 1
Let y(o) be the first derivative of -841*o**4 - 4756*o**3/3 - 768*o**2 - 144*o + 215. Determine n, given that y(n) = 0.
-1, -6/29
Let d be (-10)/(-25) - 14/20*172. Let r be (-1*3/15)/(32/d). Determine h so that 1/4*h - 1/4*h**4 + 0 - 3/4*h**2 + r*h**3 = 0.
0, 1
Let z(l) = -l**3 - 8*l**2 + 3*l - 20. Let q be z(-10). Let p be (-46)/69*q/(-8). Solve -27/4*h**3 + p*h**2 + 5/4*h**4 - 9*h + 2 = 0 for h.
2/5, 1, 2
Suppose 6*x = -13*x - 14*x. Let g(o) be the third derivative of 0 + 3*o**2 + 1/240*o**5 + x*o - 1/96*o**4 - 1/24*o**3 + 1/480*o**6. Factor g(y).
(y - 1)*(y + 1)**2/4
Let l(a) = -10*a**2 + 37*a - 20. Let u(c) be the first derivative of -5*c**3/3 + 19*c**2/2 - 10*c - 14. Let b(y) = -4*l(y) + 7*u(y). What is q in b(q) = 0?
1, 2
Solve 0 - 7/2*p + 4*p**2 - 1/2*p**3 = 0.
0, 1, 7
Factor 15*j - 16*j**2 - 67*j - 14 - 23 - 3.
-4*(j + 2)*(4*j + 5)
Let i be 276/230 + 503/35 + -12. Factor 9/7*q**4 - i*q**3 - 6/7*q**2 + 0 + 0*q.
q**2*(q - 3)*(9*q + 2)/7
Suppose 34 = 6*f + 51 - 29. Suppose 2/23*q + 2/23*q**f + 0 - 2/23*q**3 - 2/23*q**4 = 0. Calculate q.
-1, 0, 1
Let x(o) = 495*o**4 + 1480*o**3 + 1430*o**2 + 375*o. Let i(y) = 29*y**4 + 87*y**3 + 84*y**2 + 22*y. Let u(m) = -35*i(m) + 2*x(m). Factor u(l).
-5*l*(l + 1)*(l + 2)*(5*l + 2)
Let i(y) be the third derivative of -y**2 + 0*y**3 - 1/336*y**8 + 0*y**5 + 0*y**7 - 1/24*y**4 + 1/60*y**6 - 3 + 0*y. Factor i(z).
-z*(z - 1)**2*(z + 1)**2
Let j be 1/(-3) + 8/(-12). Let t be j - -9*(-2)/(-14). Factor -4/7*r + t + 2/7*r**2.
2*(r - 1)**2/7
Factor 12*z**2 + 2*z**2 + 8*z - 3*z**2 - 128 - 2*z**4 + 85*z**2 + 26*z**3.
-2*(z - 16)*(z - 1)*(z + 2)**2
Suppose 115 - 99 = 8*q. Let u(f) be the second derivative of 0 - 2/5*f**5 + 2/3*f**4 + 2*f**q + 2*f**3 + f - 2/21*f**7 - 2/5*f**6. Factor u(n).
-4*(n - 1)*(n + 1)**4
Let v(l) be the first derivative of 10 + 0*l + 2/3*l**3 - 2*l**2. Solve v(w) = 0 for w.
0, 2
Let p(m) be the third derivative of m**6/240 - m**5/4 + 4*m**4 + 128*m**3/3 + m**2 - 11*m. Suppose p(q) = 0. Calculate q.
-2, 16
Let f = -1690 - -1694. Factor -6*p**2 + 0*p - 3/2*p**f - 6*p**3 + 0.
-3*p**2*(p + 2)**2/2
Let o = 874 + -874. Let p(w) be the first derivative of -2/39*w**3 - 8 + o*w - 1/13*w**2. Factor p(k).
-2*k*(k + 1)/13
Let m(w) be the second derivative of 0*w**2 + 22*w - 1/30*w**4 + 1/50*w**5 - 2/15*w**3 + 0. Factor m(f).
2*f*(f - 2)*(f + 1)/5
Let m(k) be the first derivative of -4/5*k**2 - 4/5*k**3 - 2/5*k**4 - 2/25*k**5 - 2/5*k - 43. Factor m(q).
-2*(q + 1)**4/5
Let m(b) = -b**4 - 12*b**3 - b**2 + 16*b + 2. Let g(u) = -9*u**4 - 120*u**3 - 9*u**2 + 159*u + 21. Let a(y) = 2*g(y) - 21*m(y). Factor a(o).
3*o*(o - 1)*(o + 2)*(o + 3)
Let j(z) = 5*z**2 + 27*z + 28. Let m be j(-4). Factor 2/5*d**4 - 12/5*d**3 + 24/5*d**2 - 16/5*d + m.
2*d*(d - 2)**3/5
Let d(l) be the second derivative of -l**4/3 - 148*l**3/3 + 71*l - 1. Suppose d(x) = 0. What is x?
-74, 0
Let o = 176 - 169. Suppose -o = 4*s + 8*x - 3*x, -4*s = -3*x - 17. Factor 0 + 0*n - 3/5*n**s + 0*n**3 + 3/5*n**4.
3*n**2*(n - 1)*(n + 1)/5
Let r(c) = -24*c**2 + 281*c - 10636. Let i(h) = 13*h**2 - 140*h + 5317. Let o(k) = -11*i(k) - 6*r(k). Factor o(j).
(j - 73)**2
Let h(c) be the second derivative of 4/15*c**3 - 1/25*c**5 + 0 + 22*c - 1/10*c**4 + 4/5*c**2 + 1/75*c**6. What is f in h(f) = 0?
-1, 2
Let i = 11 - 7. Suppose -10*u = -41 - 19. Suppose -11*v**3 + 5*v**3 + 3*v**2 + u*v**i - 9*v**4 + 6*v**5 = 0. Calculate v.
-1, 0, 1/2, 1
Let k(g) = g**3 - 7*g**2 - 8*g + 5. Let n be k(8). Suppose 3*t = m - 1, -2 = n*t - 3*m + 1. Factor t + 0*x - 1/2*x**2.
-x**2/2
Let j = -10/2157 + 739/4314. Solve 2/3 + 2/3*c + j*c**2 = 0.
-2
Let k(q) be the second derivative of -q**5/50 + 22*q**4/15 - 112*q**3/3 + 320*q**2 - 395*q. Determine v, given that k(v) = 0.
4, 20
Suppose 15 = 34*z - 31*z. Let j(h) be the third derivative of 2/3*h**3 - 7/80*h**6 + 31/60*h**z - 11/12*h**4 + 0*h + 7*h**2 + 0. Factor j(t).
-(t - 2)*(3*t - 2)*(7*t - 2)/2
Let l(b) = -188*b + 4703. Let w be l(25). Factor 24/7*z**2 - 32/7 - 20/7*z**w + 4/7*z**4 + 16/7*z.
4*(z - 2)**3*(z + 1)/7
Let x = 65 + -61. Let o be x + (-3 - -2) - -1*2. Find y, given that -2/7*y**4 + 8/7*y**3 + 4/7*y**2 - 2/7 - 4/7*y**o - 4/7*y = 0.
-1, -1/2, 1
Suppose 43*y - 45*y = -3*c - 10, 4*c - 3*y = -15. Factor c - 5/3*k**3 + 0*k - 5/3*k**2.
-5*k**2*(k + 1)/3
Let z(u) = -4*u + 118*u**2 - 117*u**2 + 18 - 13*u + 0*u. Let r be z(16). Factor w**2 + w**5 + w**2 - 2*w**3 + w**5 + 0*w**r - 2*w**4.
2*w**2*(w - 1)**2*(w + 1)
Find r, given that -2/15*r**2 - 8/5 + 14/15*r = 0.
3, 4
Let h(p) be the first derivative of 1/12*p**5 + 4 - 4*p - 1/90*p**6 - 2/9*p**4 + 2/9*p**3 + 0*p**2. Let d(j) be the first derivative of h(j). Factor d(v).
-v*(v - 2)**2*(v - 1)/3
Let v = 10 + -9. Let z be (2/(0 + v))/(-2). Let o(u) = -5*u**2 + 6*u - 2. Let x(f) = -f**2 - 1. Let m(l) = z*o(l) + 2*x(l). Determine s so that m(s) = 0.
0, 2
Let f(y) be the third derivative of -y**7/42 + y**6/8 + y**5/3 - 58*y**2 - 3. Find u, given that f(u) = 0.
-1, 0, 4
Let 375*p**3 - 20 + 6*p**2 + 370*p**3 - 26*p - 735*p**3 - 2*p**4 = 0. What is p?
-1, 2, 5
Let -58/3*q**2 - 338 - 2/3*q**3 - 494/3*q = 0. Calculate q.
-13, -3
Let q(z) be the first derivative of -2/3*z**3 - 32*z + 8*z**2 - 26. What is w in q(w) = 0?
4
Let k(i) = -i**2. Let x(d) = -5*d**2 - 6. Let a(z) = 11*z**2 + 13. Let n(q) = -6*a(q) - 13*x(q). Let s(w) = 2*k(w) - n(w). Find b, given that s(b) = 0.
0
Let p(a) = 3*a**2 - 5*a. Suppose -5*c - 2*w = -39, 5 = 2*c + w - 10. Let l(i) = 6*i**2 - 9*i. Let g(s) = c*p(s) - 5*l(s). Factor g(h).
-3*h**2
Find n, given that -2/5*n**3 + n**4 - 1/5*n**5 + 3/5*n - 14/5*n**2 + 9/5 = 0.
-1, 1, 3
Let t(o) = -1740*o**3 - 6890*o**2 + 480*o + 25. Let j(r) = 145*r**3 + 574*r**2 - 40*r - 2. Let p(g) = 25*j(g) + 2*t(g). Factor p(x).
5*x*(x + 4)*(29*x - 2)
Factor 135*p + 47*p**2 + 0 + 0 - 52*p**2.
-5*p*(p - 27)
Let h be ((-10)/4)/((-27)/90). Let m = 4/95 + 938/285. Find b, given that -m*b + 1/3 + h*b**2 = 0.
1/5
Let l(j) = 11*j**3 + 41*j**2 - 34*j - 64. Let p(x) = 7*x**3 + 27*x**2 - 23*x - 43. Let m(z) = 5*l(z) - 8*p(z). Factor m(f).
-(f - 2)*(f + 1)*(f + 12)
Suppose x**2 - 6*x + 991 - 967 - 4*x**2 = 0. What is x?
-4, 2
Suppose -3*j + 33 = -5*d, 6*d = 4*d + j - 14. Let u be (d/6)/((-6)/12). Factor -2/5*f**u - 8/5*f**2 - 4/5 - 2*f.
-2*(f + 1)**2*(f + 2)/5
Let u = 16 + -7. Suppose 3*r = -0*r + u. Determine m so that -3*m**r - 3 + m + 8*m + 2*m**2 - 11*m**2 + 6*m**3 = 0.
1
Let o(c) be the first derivative of 4*c**5/5 - 24*c**4 + 472*c**3/3 + 624*c**2 + 676*c - 102. Factor o(s).
4*(s - 13)**2*(s + 1)**2
Suppose -6*d = 5*d + 11. Let i be ((-15)/150)/(4/50)*d. Find s, given that -5/4*s**4 + i*s**2 + 0 - 1/2*s + 3/4*s**5 - 1/4*s**3 = 0.
-1, 0, 2/3, 1
Suppose 3*t + 31 = -2*v, 5*t + 30 = -2*v - 3. Let g be 19/7 + (-4)/v. Factor 5*f**2 + 0*f**2 + 2*f**4 - 2*f**3 - g*f**2 - 2*f**3.
2*f**2*(f - 1)**2
Let f(n) be the third derivative of 0*n - 4*n**2 + 0 + 1/150*n**5 + 1/30*n**4 - 1/5*n**3. Solve f(w) = 0 for w.
-3, 1
Let w(o) = 2*o**3 - o**2 + 2*o - 1. 