= -2*t**3 - 87*t**2 - 810*t + 96. Let h(b) = 2*b**3 + 86*b**2 + 810*b - 64. Let m(j) = 6*h(j) + 4*i(j). Let m(y) = 0. Calculate y.
-27, -15, 0
Let c = -10/1327 + 2704/6635. Factor -c - 4/15*d**2 + 14/15*d.
-2*(d - 3)*(2*d - 1)/15
Let o(a) be the first derivative of a**3/21 + 17*a**2/14 + 10*a - 2263. Factor o(z).
(z + 7)*(z + 10)/7
Suppose 2*u + 3*k = 19, 2*k + 11 - 5 = u. Find t, given that u*t**2 - 3*t**2 + t**5 - t - 3*t**3 - t + 0*t**2 - t**4 + 0*t**4 = 0.
-2, 0, 1
Let v(i) = -i**2 + 4*i. Let n be v(3). Determine l, given that 255*l**2 + 34*l**n - 42*l**3 + 3*l**3 = 0.
0, 51
Factor 0 + 433/7*q - 1/7*q**2.
-q*(q - 433)/7
Let a(k) be the second derivative of -1/10*k**5 + k + 1/12*k**4 + 2/21*k**3 + 1/70*k**6 + 0*k**2 + 187. Factor a(w).
w*(w - 4)*(w - 1)*(3*w + 1)/7
Let s(q) be the second derivative of -q**4/28 - 103*q**3/7 - 615*q**2/14 + 740*q - 2. Factor s(x).
-3*(x + 1)*(x + 205)/7
Factor -4*p**2 - 290*p + 1096*p - 92950 + 986*p - 107754.
-4*(p - 224)**2
Let w = -21828 + 21834. Let l(n) be the first derivative of -4 - 7/2*n**4 - 1/3*n**w - 2/3*n**3 + 2*n**5 - 8*n + 8*n**2. Determine h so that l(h) = 0.
-1, 1, 2
Let h(q) be the first derivative of -q**5 - 145*q**4/4 + 215*q**3 - 495*q**2/2 - 6643. Find p such that h(p) = 0.
-33, 0, 1, 3
Factor 0*q**2 + 657394*q - 3*q**2 - 658405*q.
-3*q*(q + 337)
Let j(w) = -7*w**2 + 616*w - 2523. Let h(y) = 10*y**2 - 1230*y + 5045. Let z(o) = -3*h(o) - 5*j(o). Factor z(d).
5*(d - 4)*(d + 126)
Let y(d) be the first derivative of d**4/2 + 82*d**3 + 243*d**2 + 242*d + 406. Find s such that y(s) = 0.
-121, -1
Let x(k) be the third derivative of -k**8/10080 + k**7/1680 + k**6/360 + 73*k**5/60 - 25*k**2. Let c(o) be the third derivative of x(o). Factor c(w).
-(w - 2)*(2*w + 1)
Factor -159/4 + 3/4*m**2 - 39*m.
3*(m - 53)*(m + 1)/4
Let r be (51/(-13) + 1)/(4875/(-9750)). Factor 70/13*t + 12/13 + 18/13*t**3 + r*t**2.
2*(t + 1)*(t + 3)*(9*t + 2)/13
Let s(j) = 4*j**3 + 12*j**2 - 15*j - 1. Let g = 21 - 19. Let t be -2 + g + -1 + 5. Let h(w) = -w**3 - 4*w**2 + 5*w. Let y(f) = t*s(f) + 14*h(f). Factor y(b).
2*(b - 2)*(b - 1)**2
Let v = -51012 - -249543/5. Let p = 1104 + v. Let -9*z**4 + 9/5*z**2 - 39/5*z**3 + p*z + 0 = 0. What is z?
-1, -1/5, 0, 1/3
Factor -216*u - 3*u**3 - 12*u**3 + 4*u**5 - 180*u**2 + 90*u**4 - 11*u**3 - 70*u**4 + 14*u**3.
4*u*(u - 3)*(u + 2)*(u + 3)**2
Factor 45*h**3 + 284*h + 311*h - 640*h - 51*h**2 + 3*h**4 + 48.
3*(h - 1)**2*(h + 1)*(h + 16)
Let q(n) be the second derivative of 2*n**7/189 + 59*n**6/135 + 103*n**5/15 + 48*n**4 + 108*n**3 - 243*n**2 + 1225*n. What is w in q(w) = 0?
-9, -3, 1/2
Suppose -7760*b + 7759*b + 8 = c, 5*c = -3*b + 28. Factor 6*s**2 - 3/5*s**3 - b + 3/5*s.
-3*(s - 10)*(s - 1)*(s + 1)/5
Suppose -9*x + 1 = -26. Let a(s) be the first derivative of -8/7*s - 4/7*s**2 + 4 - 2/21*s**x. Find k, given that a(k) = 0.
-2
Let g be 20/60 - 23/(-3). Let x be 48/64*g/36. Factor -1/3*o**4 + 1/3*o**2 + 1/6*o + 0 - x*o**5 + 0*o**3.
-o*(o - 1)*(o + 1)**3/6
Suppose 4 = -2*i, -3*i - 13 = 3*y - 7. Let a(t) be the second derivative of y - 11*t + 10*t**2 + 5/12*t**4 + 10/3*t**3. Suppose a(w) = 0. Calculate w.
-2
Let d be 1 + ((-4)/2)/(-2). Let o = 65254751/6 + -10875791. Factor o*i + 1/6*i**3 - 4/3*i**d + 7/3.
(i - 7)*(i - 2)*(i + 1)/6
Let t(p) = -9*p + 209. Let n be t(23). Suppose -23 = -5*s + 2*h, -s - n*h + 9 = 2. Factor 1/4*y**s + 0 + 1/4*y**4 + 0*y**2 - 1/2*y**3 + 0*y.
y**3*(y - 1)*(y + 2)/4
Suppose -40/19*h**5 + 848/19*h + 1352/19*h**3 + 120/19 + 246/19*h**4 + 1794/19*h**2 = 0. What is h?
-2, -1, -3/5, -1/4, 10
Factor 634 + 916 - 147*h + 20*h**2 - 3*h**3 - 1784 + 64*h**2.
-3*(h - 26)*(h - 3)*(h + 1)
Let m be 12/1*100/400. Let u(h) be the second derivative of -3/40*h**5 + 1/8*h**4 + 0*h**2 + 1/2*h**m - 19*h - 1. Determine g, given that u(g) = 0.
-1, 0, 2
Let c(z) = 2*z**5 + 10*z**4 + 14*z**3 - 6*z**2 - 16*z - 8. Let y(f) = -33 - 24*f**2 + 33 + 25*f**2. Let a(x) = c(x) + 4*y(x). Find q, given that a(q) = 0.
-2, -1, 1
Let i be ((-4)/(-16))/((-7)/(-224)). Suppose -837 + i*j + 6*j**2 - 8*j**3 + 10*j**2 - 4*j**4 + 825 = 0. Calculate j.
-3, -1, 1
Let s = 31959 + -223710/7. Factor 36/7*n**4 + 0 + 288/7*n**2 + s*n**5 + 192/7*n + 156/7*n**3.
3*n*(n + 2)**2*(n + 4)**2/7
Let a(j) be the second derivative of -5 - 40/3*j**3 + 11/6*j**4 - 1/10*j**5 + 2*j + 48*j**2. Factor a(f).
-2*(f - 4)**2*(f - 3)
Factor 1675 - 1675*k**2 - 5/2*k**3 + 5/2*k.
-5*(k - 1)*(k + 1)*(k + 670)/2
Let f(m) be the second derivative of m**7/84 - 23*m**6/60 - 13*m**5/5 - 9*m**4/2 - 462*m - 4. Solve f(g) = 0 for g.
-2, 0, 27
Let d(p) be the third derivative of 9*p**7/455 - 9*p**6/65 + 3*p**5/65 + 77*p**4/39 - 245*p**3/39 - 45*p**2 + 60*p. Let d(y) = 0. What is y?
-5/3, 1, 7/3
Suppose 3*z + 2*n - 4431 = -3*n, 5*z - 7385 = 5*n. Suppose 5*y + 77 = z. Factor 32*b + y*b**3 - 30*b**2 + 79*b**4 + 103*b**2 + 21*b**4 + 103*b**2.
4*b*(b + 2)*(5*b + 2)**2
Let l(i) be the second derivative of 31/6*i**3 - 21/2*i**2 + 1/20*i**5 - 11/12*i**4 + 0 + 259*i. Factor l(b).
(b - 7)*(b - 3)*(b - 1)
Let y = 7 + 4. Let f(m) = y*m - 72*m - 29*m**2 - 26 + 5*m**2. Let v(i) = -5*i**2 - 12*i - 5. Let d(l) = -6*f(l) + 33*v(l). Factor d(o).
-3*(o + 1)*(7*o + 3)
Let m(q) = 2*q**2 - 42*q - 48. Let t(p) = p - 9 - 12 + 20. Let i(z) = m(z) - 2*t(z). Factor i(s).
2*(s - 23)*(s + 1)
Let q(g) be the second derivative of -g**4/72 + 65*g**3 - 114075*g**2 + 5968*g. Factor q(b).
-(b - 1170)**2/6
Suppose -864/5*a + 156/5 - 594/5*a**3 + 21/5*a**4 + 1281/5*a**2 = 0. What is a?
2/7, 1, 26
Let i be -1*12/4 + 7 + 732/(-192). Let k(n) be the first derivative of -1/20*n**5 + 9 - 3/8*n**2 + 1/12*n**3 + 0*n + i*n**4. Factor k(y).
-y*(y - 3)*(y - 1)*(y + 1)/4
Let k be ((-99)/18 + 7)/(2/16). What is m in -19*m**2 + k*m**3 - 2*m**3 + 22*m - 7*m**3 + 24 = 0?
-2/3, 3, 4
Let l(z) be the second derivative of -41/6*z**3 + 13*z**2 + 0 - 1/20*z**5 + 4/3*z**4 - 118*z. Factor l(a).
-(a - 13)*(a - 2)*(a - 1)
Let d = 110 - 107. Suppose 9 = -n - d*r, 0*n - 2*n - 10 = 4*r. Solve -6*o**4 - 14*o**2 + 2148*o - 2156*o + 0 + 20*o**n + 8 = 0.
-2/3, 1, 2
Let f = 3578 + -3578. Let d(r) be the third derivative of f*r**3 + 1/80*r**5 + 15*r**2 - 1/48*r**4 + 0*r + 0. Factor d(u).
u*(3*u - 2)/4
Let g(w) = -3*w + 13 - 11 + 10. Let r be g(3). Solve -5*a**4 + 8*a + 22*a**5 - 2*a**2 - 23*a**5 + 4 - 7*a**3 + r*a**2 = 0 for a.
-2, -1, 1
Let i(r) be the first derivative of -3*r**4/4 - 4*r**3 + 9*r**2/2 + 54*r - 3709. Determine f so that i(f) = 0.
-3, 2
Factor -160/9 - 224/9*i**2 + 488/9*i + 10/9*i**3.
2*(i - 20)*(i - 2)*(5*i - 2)/9
Let b be 114/38 - ((-207498)/(-1796) + 0). Let a = -15/449 - b. Factor -a*l - 3/2*l**3 - 375/2 - 45/2*l**2.
-3*(l + 5)**3/2
Let j(v) = 10*v**2 - 870*v - 37840. Let n(d) = 17*d**2 - 1740*d - 75681. Let w(t) = 9*j(t) - 5*n(t). Find p, given that w(p) = 0.
-87
Let r(a) be the third derivative of a**7/1050 - 199*a**6/200 + 119*a**5/20 - 1783*a**4/120 + 99*a**3/5 + 263*a**2 - 8. Determine y so that r(y) = 0.
1, 594
Let g(u) be the second derivative of -26*u**7/105 + 36*u**6/25 + 53*u**5/5 - 1394*u**4/15 + 832*u**3/5 - 64*u**2 - 36*u + 20. Find f such that g(f) = 0.
-5, 2/13, 1, 4
Suppose -2*u - 36 = -160. Solve -22*i + 40*i + u*i - 5*i**2 = 0.
0, 16
Let n be 1892/319 + 4/58. Determine w, given that 963*w**5 - 2890*w**5 + 20*w**2 + 8*w**4 + 964*w**5 + 961*w**5 - 20*w**4 - n*w**3 = 0.
-5, -2, 0, 1
Let p(r) be the first derivative of -r**3/15 - 149*r**2/5 - 22201*r/5 - 1184. Let p(n) = 0. Calculate n.
-149
Let a(y) be the second derivative of 0*y**4 + 0*y**5 - 1/15*y**6 - 57*y + 0*y**2 - 5/42*y**7 + 0 + 0*y**3. Factor a(q).
-q**4*(5*q + 2)
Let u(x) be the second derivative of x**4/30 + 524*x**3/15 + 68644*x**2/5 - x - 58. Find k such that u(k) = 0.
-262
Let j(b) = 12*b**2 - 25*b - 23. Let q(v) = -15*v**2 + 27*v + 24. Let h(u) = 6*j(u) + 5*q(u). Suppose h(s) = 0. Calculate s.
-3, -2
Let j(h) be the second derivative of h**6/150 + h**5/25 + h**4/60 - h**3/5 - 2637*h. Factor j(c).
c*(c - 1)*(c + 2)*(c + 3)/5
Let n = -600 + 618. Factor 98*s - 4*s**2 + 16*s - 32 + 14*s - n*s**2 + 52*s.
-2*(s - 8)*(11*s - 2)
Let f be (-8 + 695/25)*(-2)/(-21). Let i = f - 3/5. Factor 3/7*v**4 - 15/7*v**2 - i*v**3 + 3/7*v**5 - 6/7*v + 0.
3*v*(v - 2)*(v + 1)**3/7
Determine b so that 128*b + 10240 + 2/5*b**2 = 0.
-160
Let p