(q) = 10*q**2 + 39*q + 29. Let d = -21 + 30. Let r(h) = 5*h**2 + 19*h + 14. Let j(m) = d*r(m) - 4*v(m). Solve j(i) = 0.
-2, -1
Suppose 124 + 194*s + 13*s**2 + 139*s - 58 + 2*s**2 = 0. Calculate s.
-22, -1/5
Let d(c) = -c**5 - c**3 + c**2 - c. Let a(s) = 24*s**3 + 49*s**5 - 19*s**5 - 2*s**4 + 22*s - 20*s**2 - 10*s**5. Let m(h) = 2*a(h) + 44*d(h). Solve m(x) = 0.
-1, 0, 1
Factor 17/2*o**2 - 3*o - 1/4*o**5 + 19/4*o**3 - 10 + 0*o**4.
-(o - 5)*(o - 1)*(o + 2)**3/4
Let m = 740 + -737. Let h(r) be the second derivative of 0 + 5*r + 1/10*r**5 + 0*r**2 + 1/3*r**4 + 1/3*r**m. Suppose h(z) = 0. Calculate z.
-1, 0
Let i(v) be the first derivative of v**5 + 795*v**4/4 + 10665*v**3 + 31205*v**2/2 + 496. Suppose i(z) = 0. What is z?
-79, -1, 0
Let z be (-4 - (-7 - 1)) + 2. Suppose z*p = -2*p + 9*p. Factor p + k**2 + 1/3*k**3 + 2/3*k.
k*(k + 1)*(k + 2)/3
Factor 102*t**2 - 1734*t + 7*t**3 + 3821 + 6005 - 3*t**3 - 6*t**3.
-2*(t - 17)**3
Let g(x) = 2*x + 11. Let u be g(-4). Factor 5*z + 10 + 2 - 5*z**2 + u - 5.
-5*(z - 2)*(z + 1)
Let i(w) be the second derivative of 1/6*w**4 + 0 - 1/60*w**5 - 2*w**2 - 2/3*w**3 - 5*w. Let m(q) be the first derivative of i(q). Determine o so that m(o) = 0.
2
Let w(u) = 9*u**2 - 12*u + 14. Let p be w(2). Factor p*o**2 + 8*o + 8/13.
2*(13*o + 2)**2/13
Let y(h) = h**3 - 6*h**2 + 7*h - 7. Let z be y(5). Let b(w) be the first derivative of -6*w**3 - 3*w**2 + 4 - 4*w + 8*w**2 + 4*w**z + 4. Factor b(t).
-2*(t - 1)*(3*t - 2)
Let j be (-1)/(-1)*(5 + -2). Factor -5*p**3 - 18*p + 3 - 7*p**3 + 6*p + j*p**4 + 18*p**2.
3*(p - 1)**4
Let o(n) be the first derivative of 2*n**6/3 - 8*n**5/5 + 8*n**3/3 - 2*n**2 + 9. Factor o(y).
4*y*(y - 1)**3*(y + 1)
Let m(k) be the third derivative of k**6/360 - k**5/4 + 22*k**4/3 - 242*k**3/9 - 3*k**2 - k. Solve m(i) = 0.
1, 22
Let q(j) be the third derivative of j**5/15 + 17*j**4/6 + 104*j**3/3 - 429*j**2. Factor q(r).
4*(r + 4)*(r + 13)
Let a(g) be the second derivative of -g**7/252 - g**6/18 - 13*g**5/40 - 37*g**4/36 - 17*g**3/9 - 2*g**2 + 167*g. Suppose a(x) = 0. Calculate x.
-3, -2, -1
Let l be (15/10)/((-27)/(-24)). Let u(c) be the first derivative of 6/5*c**5 + 1/2*c**4 + 0*c**2 + 0*c - l*c**6 + 7 + 0*c**3. Factor u(y).
-2*y**3*(y - 1)*(4*y + 1)
Let j(y) = 4*y - 15. Let q be j(5). Suppose -3*g - 4*w + 48 = g, q*w = -2*g + 24. Factor 3*b**2 + 9*b + 5*b**2 - 3*b**2 - 2*b**2 - g.
3*(b - 1)*(b + 4)
Let s(b) be the second derivative of b**4/48 - 11*b**3/4 + 1089*b**2/8 - 184*b. Factor s(m).
(m - 33)**2/4
Let v(i) be the second derivative of i**7/63 - i**6/5 + 16*i**5/15 - 28*i**4/9 + 16*i**3/3 - 16*i**2/3 - 234*i. Factor v(q).
2*(q - 2)**4*(q - 1)/3
Let y(o) = 3*o**2 + 2. Let x = 4 + -2. Let g(w) = 30*w**2 + 21. Let p(c) = x*g(c) - 21*y(c). Factor p(h).
-3*h**2
Suppose -2*x = 5*v - 13, v = 2*v - 5*x + 19. Let o be 0 + v - (4 - 6). Factor -11*y - 20*y**3 - 3*y**4 - 20*y**2 + o*y - y**4 + 4*y**3.
-4*y*(y + 1)**2*(y + 2)
Let z(g) = 50*g**3 + 1445*g**2 + 5285*g - 6780. Let q(o) = 3*o**3 + 85*o**2 + 311*o - 399. Let d(p) = -35*q(p) + 2*z(p). Factor d(c).
-5*(c - 1)*(c + 9)**2
Let n(a) be the second derivative of a**5/80 - 3*a**4/16 - 5*a**3/12 + 3*a - 1. Factor n(k).
k*(k - 10)*(k + 1)/4
Find b such that 16*b**3 + 12*b**4 + 6*b**4 - 7*b**3 - 30*b**2 + 3*b**5 = 0.
-5, -2, 0, 1
Let j(c) = -7*c - 17. Let p be j(-2). Let m be p/12 + (-76)/(-176). Find y such that m*y**2 + 0*y + 0 = 0.
0
Suppose 12 = -4*n, 3*n + 9 + 0 = 3*q. Find z, given that 3/2*z**3 + 0*z + 3*z**2 + q = 0.
-2, 0
Let i be 0/(-6) - (0 - -1) - -11. Suppose -16*o + 38 = -i. Factor -11/3*f**2 - 4/3 - 20/3*f + 35/3*f**o.
(f - 1)*(5*f + 2)*(7*f + 2)/3
Suppose -7*f - 9*f - f - f**2 - 2*f = 0. Calculate f.
-19, 0
Let h(r) = -73*r**3 + 197*r**2 + 814*r + 360. Let l(w) = 12*w**3 - 33*w**2 - 136*w - 60. Let d(m) = -2*h(m) - 13*l(m). Suppose d(b) = 0. What is b?
-2, -1/2, 6
Let x(q) = -q**2 - 8*q - 5. Let l be x(-7). Let i = -2144/3 - -4291/6. Factor 0 - i*o**3 - l*o**2 - 3/2*o.
-o*(o + 1)*(o + 3)/2
Factor 0*a**3 - 4*a**2 + 10*a**4 - a**3 - 9*a**4 - 2*a**2.
a**2*(a - 3)*(a + 2)
Let t = 1222 + -1222. Factor -9*d**3 + 27/2*d + 0 + t*d**2 - 1/2*d**5 - 4*d**4.
-d*(d - 1)*(d + 3)**3/2
Let b(h) be the second derivative of -h**6/360 + h**5/40 + h**4/6 - 17*h**3/6 - 35*h. Let p(s) be the second derivative of b(s). Factor p(i).
-(i - 4)*(i + 1)
Suppose 2*b + 3*d + 147 = b, 2*b + 2*d + 298 = 0. Let j = -442/3 - b. Solve 2/3*c**3 - j + 2*c**2 + 0*c = 0 for c.
-2, 1
Let d(i) = -160*i**2 - 1764*i - 1612. Let k(f) = f**3 + 161*f**2 + 1763*f + 1609. Let v(g) = -3*d(g) - 4*k(g). Factor v(u).
-4*(u + 1)*(u + 20)**2
Factor 109*g - 232 + 28*g**2 + 5*g**3 + 5*g**2 - 258 + 27*g**2 - 4*g.
5*(g - 2)*(g + 7)**2
Suppose 162 = 21*k - 174. Suppose 9*y = k*y. Solve 1/4*u**2 - 1 + y*u = 0 for u.
-2, 2
Suppose 608 - 830 - 1398 - 48*y - 5*y**2 + 151*y + 77*y = 0. What is y?
18
Let a = 49851/11 - 4531. Factor 4/11*v + 6/11*v**3 + a*v**2 + 0 - 2/11*v**4 - 2/11*v**5.
-2*v*(v - 2)*(v + 1)**3/11
Factor -4*l + 208753 - 2*l**4 - 208753 - 10*l**2 - 8*l**3.
-2*l*(l + 1)**2*(l + 2)
Let b(q) be the first derivative of 0*q - 2/45*q**5 - 1/18*q**4 + 0*q**3 + 0*q**2 - 2. Factor b(s).
-2*s**3*(s + 1)/9
Let f(s) be the third derivative of -s**7/42 - s**6/8 + 19*s**5/12 + 145*s**4/8 + 75*s**3 + 14*s**2 + s. Suppose f(t) = 0. What is t?
-3, -2, 5
Let i(l) be the third derivative of l**5 - 13*l**4/3 + 16*l**3/3 - 2*l**2 - 3*l. Let i(y) = 0. Calculate y.
2/5, 4/3
Let j be (3/(-2))/((-3)/4). Determine f so that 23*f**2 - j + 7 + 10*f - 18*f**2 = 0.
-1
Let g(k) = -2*k**5 - 3*k**2 + k - 1. Let j(x) = 9*x**5 - 19*x**4 - 58*x**3 + 313*x**2 - 346*x + 126. Let t(y) = 5*g(y) + j(y). Factor t(l).
-(l - 1)**3*(l + 11)**2
Let o(s) = -s**2 - 14*s - 55. Let b be o(-7). Let n be ((-4)/b)/(8 - (-92)/(-12)). Determine a so that 1/3*a**n - 2/3 + 1/3*a = 0.
-2, 1
Factor 4*c**2 + 0 - 2/3*c**3 + 0*c.
-2*c**2*(c - 6)/3
Let p = 2545 + -2540. Let q(t) be the second derivative of -4*t + 0*t**2 + 1/8*t**4 + 0 + 1/40*t**p + 1/6*t**3. Determine v, given that q(v) = 0.
-2, -1, 0
Let y(i) = -4*i**3 - 10*i**2 - 2*i + 16. Let u = 121 - 119. Let q(a) = -9*a**3 - 20*a**2 - 3*a + 32. Let l(n) = u*q(n) - 5*y(n). Solve l(z) = 0 for z.
-4, -2, 1
Let d(k) = -k**2 - 15*k + 20. Let j be d(-16). Let a(h) be the second derivative of 1/42*h**j + 1/21*h**3 + 0 + 0*h**2 - 6*h. Factor a(i).
2*i*(i + 1)/7
Let -10/7*p**2 + 766/7*p + 44 = 0. What is p?
-2/5, 77
Let n(d) = d**3 + 8*d**2 - 12*d - 12. Let h be n(-9). Let s be 4 - 63/h - (-2 + 1). Find v such that 4/5*v**2 + 0 + 0*v - s*v**4 + 2/5*v**5 - 2/5*v**3 = 0.
-1, 0, 1, 2
Let l be ((-4)/3)/((-8)/84) - -4. Let j be (0 - 2/(-14))/(6/l). Factor 3/7*d - j*d**3 - 3/7*d**4 + 3/7*d**2 + 0.
-3*d*(d - 1)*(d + 1)**2/7
Let h(b) be the first derivative of b**4 + 76*b**3 + 222*b**2 + 220*b - 317. Factor h(o).
4*(o + 1)**2*(o + 55)
Let r(d) be the first derivative of d**5/120 - d**4/48 - d**2 + 2. Let v(b) be the second derivative of r(b). Solve v(j) = 0.
0, 1
Let x(a) be the first derivative of -4*a**3/3 - 8*a**2 - 12*a - 147. Find v, given that x(v) = 0.
-3, -1
Factor 6*b**2 + 36*b**4 - 13*b**4 - 4*b - 25*b**4.
-2*b*(b - 1)**2*(b + 2)
Let q(f) be the third derivative of -5*f**5/42 - 15*f**4/7 - 108*f**3/7 + 295*f**2. Determine b, given that q(b) = 0.
-18/5
Let p(j) be the first derivative of -3*j**5/5 + 15*j**4/4 - 8*j**3 + 6*j**2 - 64. Factor p(i).
-3*i*(i - 2)**2*(i - 1)
Let v = -21 - -25. Let k be ((-4)/7)/(v/(-2 + 0)). Let 0 + 2/7*n**5 + k*n**4 - 2/7*n**3 - 2/7*n**2 + 0*n = 0. Calculate n.
-1, 0, 1
Let t be 4*1*1/(20/10). Let r = -5 - -5. Factor 1/3*n + r + 1/3*n**t.
n*(n + 1)/3
Let g be (-270)/(-100) - (-36)/(-30). Factor g*n**3 - 6*n + 3/2*n**2 - 6.
3*(n - 2)*(n + 1)*(n + 2)/2
Suppose 13*g + 234 = 16*g. Solve 61 + g*n**2 + 108*n - 18 - 19 - 21*n**4 - 10*n**3 - 17*n**3 = 0.
-2, -1, -2/7, 2
Let g = -5728/133 + 840/19. Factor 0 + g*b**3 + 18/7*b**2 + 4/7*b.
2*b*(b + 2)*(4*b + 1)/7
Let h(x) = -25*x**3 + 32*x**2 - 17*x - 4. Suppose -32 + 38 = -3*l. Let b(r) = 8*r**3 - 11*r**2 + 6*r + 1. Let g(u) = l*h(u) - 7*b(u). Factor g(m).
-(m - 1)**2*(6*m - 1)
Find z, given that -8/11*z**2 + 10/11*z - 2/11 = 0.
1/4, 1
Let 8/3*z + 1/3*z**2 + 0 = 0. Calculate z.
-8, 0
Factor 6*y**2 - 4*y**3 - 9*y - 14*y**2 - y**3 + 4*y**3 + 2*y