o**2 + 1443*o + 52659*o**2 - 3811*o + 4*o**3.
4*o*(o - 2)*(o + 296)
Factor 3142 - 1312*u - 2648*u - 2*u**2 - 3706*u + 7*u**2 - 191*u.
(u - 1571)*(5*u - 2)
Suppose 3*s = 5*q + 27, -4*s - 3*q + 10 = -q. Solve -10*w**2 - 10*w + 19*w**2 + 8 - 11*w**2 + s*w = 0.
-4, 1
Let u(m) be the second derivative of 1/120*m**4 + 3/20*m**3 - 1/2*m**2 + 0 + 41*m. Find j such that u(j) = 0.
-10, 1
Let v(a) be the third derivative of a**5/30 + 149*a**4/4 + 446*a**3/3 + 5702*a**2. Find w, given that v(w) = 0.
-446, -1
Let s(k) = 5*k**3 + 24*k**2 + 17*k - 146. Let y(x) = 0*x**3 + 536*x - 537*x - x**3 - 2. Let h(b) = s(b) + 2*y(b). Factor h(q).
3*(q - 2)*(q + 5)**2
Suppose -4*g - 4*z = -148, -5*g = -10*g + z + 155. Factor -72*v**3 - 514*v**2 - 28*v**4 - g*v - 3*v**5 - v**5 + 434*v**2.
-4*v*(v + 1)*(v + 2)**3
Let q = -23764 + 142585/6. Let -2*x - 6 - q*x**2 = 0. What is x?
-6
Let b(t) be the first derivative of -5/8*t**4 + 1/40*t**5 + 48 + 0*t + 0*t**2 + 25/6*t**3. Factor b(a).
a**2*(a - 10)**2/8
Let p = -1875 - -1879. Suppose -28*o = -17*o + p*o. Factor o - 2/11*y**4 - 2/11*y**5 + 0*y + 2/11*y**2 + 2/11*y**3.
-2*y**2*(y - 1)*(y + 1)**2/11
Suppose 33*x - 28*x - 4*p = 38, 33 = -x - 5*p. Let m(t) be the first derivative of 4/3*t**3 + 1/2*t**4 - t**x + 21 - 4*t. Factor m(k).
2*(k - 1)*(k + 1)*(k + 2)
Let q(u) be the third derivative of 27/10*u**3 - 3/20*u**4 - 28*u**2 + 0*u + 1/300*u**5 + 0. Let q(g) = 0. What is g?
9
Suppose 2*y = -8*y - 5550. Let q = 558 + y. Suppose 16/3*w**4 + 0*w**q - 4/3*w - 40/3*w**2 + 4/3*w**5 + 8 = 0. What is w?
-3, -2, -1, 1
Let q(k) = -5*k**3 + 4*k**2 + 8*k + 2. Let p be q(-1). Let 8*w**5 + 18*w**3 + 36*w**2 - 8*w**2 + 0*w**5 + 58*w**4 + 64*w**p - 176*w**4 = 0. Calculate w.
-1/4, 0, 1, 14
Let y(x) be the first derivative of x**4/28 - 53*x**3/21 + 367*x**2/14 - 45*x - 5595. Factor y(h).
(h - 45)*(h - 7)*(h - 1)/7
Let n be 9 - 17/((-255)/22280). Let q = 31651/21 - n. Find y, given that -14*y**4 + q*y**2 - 8*y + 8/7 + 8*y**3 = 0.
-1, 2/7, 1
Find j such that 2217/2*j**4 + 176*j + 6 + 657/2*j**5 + 2791/2*j**3 + 1571/2*j**2 = 0.
-1, -2/3, -3/73
Let x(t) be the first derivative of 4*t**3/3 + 76*t**2 + 1300*t - 2966. Solve x(m) = 0 for m.
-25, -13
Suppose -2*q = -23*q - 25*q + 92. Factor 4/11 - 6/11*x + 2/11*x**q.
2*(x - 2)*(x - 1)/11
Let o be 45/(-10)*32/(-12) - 3. Let s be (1 + 1)*o/9. Let -4/5*m + 0 - 4/5*m**s + 4/5*m**4 + 4/5*m**3 = 0. Calculate m.
-1, 0, 1
Let k = 579 + -577. Find a, given that -49*a + 2 + 8*a**3 + 11*a**2 + 2*a**4 + a**k + 57*a = 0.
-1
Let t(p) = p**3 + 22*p**2 - 20*p - 59. Let i be t(-23). Let b be i/(-510) + 22/(-165). Determine h, given that 0*h**2 - 2/17*h**4 + b + 4/17*h - 4/17*h**3 = 0.
-1, 1
Let l(d) be the third derivative of 0*d + 0*d**4 + 0 + 3/40*d**6 + 38*d**2 + 0*d**3 + 1/16*d**8 - 1/10*d**5 + 6/35*d**7. Factor l(j).
3*j**2*(j + 1)**2*(7*j - 2)
Let y(j) = 2*j**2 + 2*j. Let r be y(-1). Suppose r = u + 6*u. Find x such that u*x**2 + 8*x**2 + x**2 - 5 - 4*x**2 = 0.
-1, 1
Let k = -4204 - -4207. Let g(p) be the third derivative of 1/4*p**5 - 1/24*p**6 - 5/2*p**k + 0 + 0*p - 27*p**2 + 5/24*p**4. Factor g(c).
-5*(c - 3)*(c - 1)*(c + 1)
Let d be (-1 + -1)*(-667)/46. Let j = d + -27. Determine b, given that -8*b**4 + 39*b**j + 4*b**5 + 8 - 7*b**2 - 28*b + 12*b**3 - 20*b**3 = 0.
-2, 1
Let q(f) be the first derivative of f**4 + 24*f**3 - 168*f**2 - 7840*f - 335. Factor q(j).
4*(j - 10)*(j + 14)**2
Let y(u) = 12*u**2 - 1083*u + 1260. Let x(b) = -5*b**2 + 433*b - 505. Let p(z) = 27*x(z) + 11*y(z). What is w in p(w) = 0?
-75, 1
Let x be (-4)/50*40/12*(-8820)/3920. What is t in -19/5*t**2 - 9/5 + 33/5*t + x*t**3 = 0?
1/3, 3
Suppose -2*h + 4 = -3*w, 3*w - 10 = -2*h - 3*h. Let q be (4*(-6)/252)/((-7)/42). Factor 16/7*v + q*v**h + 16/7.
4*(v + 2)**2/7
Let g = 950/19803 + -1/2829. Let y(m) be the first derivative of g*m**6 + 0*m**2 - 32/21*m**3 - 2/7*m**4 + 32/7*m - 27 + 6/35*m**5. Factor y(n).
2*(n - 2)*(n - 1)*(n + 2)**3/7
Let o(z) be the second derivative of 13/160*z**5 + 0 - 1/96*z**4 + 203*z + 0*z**2 + 1/240*z**6 - 13/48*z**3. Factor o(n).
n*(n - 1)*(n + 1)*(n + 13)/8
Let r be (3 - 3) + 16 + 4. Solve -4*z**2 + 4*z + 2*z**3 - 8*z**2 + r*z + 24 - 14*z = 0.
-1, 3, 4
What is q in -1/5*q**2 - 1/2 - 11/10*q = 0?
-5, -1/2
Let z(f) be the second derivative of 27/25*f**5 - 221*f + 0 - 781/60*f**4 - 2/75*f**6 - 169/10*f**2 + 117/5*f**3. Let z(p) = 0. What is p?
1/2, 13
Let m(p) = 11*p**3 + p**2 + 1760*p + 24624. Let c(l) = -20*l**3 - 3*l**2 - 3520*l - 49258. Let i(f) = -6*c(f) - 11*m(f). Factor i(v).
-(v - 51)*(v + 22)**2
Let l(h) = 10*h**2 - 270*h - 3945. Let f(p) = 11*p**2 - 265*p - 3964. Let g(t) = -5*f(t) + 6*l(t). Factor g(y).
5*(y - 70)*(y + 11)
Let k(w) be the first derivative of 2*w**6/15 + 9*w**5/5 + 23*w**4/3 + 2*w**3 - 72*w**2 + 29*w + 23. Let h(f) be the first derivative of k(f). Solve h(d) = 0.
-4, -3, 1
Let b(u) be the second derivative of u**7/14 - 49*u**6/10 - 153*u**5/10 - u**4/2 + 101*u**3/2 + 153*u**2/2 + 777*u. Determine r so that b(r) = 0.
-1, 1, 51
Suppose -4 = w, -4*c - 3*w + 60 = -0*w. Suppose 101*s + 159 = -44*s - 573 + 4647. Factor -s - 36*y - 1/3*y**4 - 4*y**3 - c*y**2.
-(y + 3)**4/3
Let s(g) be the second derivative of -g**5/35 - 15*g**4 - 16432*g**3/7 + 49928*g**2/7 - 3*g + 205. Factor s(k).
-4*(k - 1)*(k + 158)**2/7
Let s(d) = -9*d**5 + 5*d**4 + d**3 - 13*d**2 - 7. Let l(b) = 10*b**5 - 4*b**4 - 2*b**3 + 12*b**2 + 8. Let y(c) = -7*l(c) - 8*s(c). Factor y(g).
2*g**2*(g - 5)*(g - 2)*(g + 1)
Factor 146*p + 48488*p**2 - 1610*p + 4*p**4 - 264*p**3 - 47244*p**2.
4*p*(p - 61)*(p - 3)*(p - 2)
Let -465/7*a + 3*a**3 + 18 + 78/7*a**2 = 0. Calculate a.
-7, 2/7, 3
Let j(q) be the first derivative of -q**5/90 - 5*q**4/18 + 11*q**3/9 + 30*q**2 + 41. Let z(p) be the second derivative of j(p). Find h, given that z(h) = 0.
-11, 1
Suppose 357/2*n**2 - 1/4*n**3 + 3370318 - 42483*n = 0. Calculate n.
238
Let k**2 + 2658 - 2898 + 72*k - 4*k**2 = 0. Calculate k.
4, 20
Suppose -54*a - 24 + 60 = -126. Factor 4*h**2 - 4/7*h**a + 48/7 - 64/7*h.
-4*(h - 3)*(h - 2)**2/7
Let r(n) be the second derivative of -n**5/4 - 65*n**4/4 - 650*n**3/3 + 750*n**2 - n + 14. Suppose r(b) = 0. Calculate b.
-30, -10, 1
Let w(j) be the third derivative of j**5/330 - 37*j**4/44 + 10*j**3/3 - 1710*j**2. Factor w(p).
2*(p - 110)*(p - 1)/11
Let h(b) be the first derivative of 0*b - 25 + 0*b**2 - 3/10*b**4 + 0*b**3 - 1/25*b**5. Factor h(q).
-q**3*(q + 6)/5
Let z(n) be the third derivative of 1/7*n**4 + 0 + 0*n + 1/245*n**7 - 1/35*n**6 - n**2 + 0*n**3 - 1/70*n**5. Factor z(l).
6*l*(l - 4)*(l - 1)*(l + 1)/7
Let g(y) = -18*y**3 + 522*y**2 - y + 32. Let h be g(29). Determine a so that 45/2*a**h - 6*a - 37/2*a**2 + 2 = 0.
-2/5, 2/9, 1
Let p = -224 + 229. Let o(f) be the third derivative of -p*f**2 - 1/75*f**5 + 16/15*f**3 - 1/15*f**4 + 0 + 0*f. Factor o(c).
-4*(c - 2)*(c + 4)/5
Let t(y) = y**4 - y**3 + 2*y**2 - 9*y - 1. Let l(k) = 2*k**4 + 18*k**3 - 74*k**2 + 86*k - 64. Let p(u) = l(u) - 4*t(u). Suppose p(f) = 0. Calculate f.
1, 2, 3, 5
Let y be 112/2 - (-2 - -6). Let i = y + 24. Solve -76*h**2 - 21*h**5 + 6*h**4 + i*h**2 = 0 for h.
0, 2/7
Let u(z) be the first derivative of -93*z**4/8 - 219*z**3/2 - 150*z**2 - 18*z + 1874. Suppose u(l) = 0. Calculate l.
-6, -1, -2/31
Let c(u) = u**2 - 1. Let j = 67 + -62. Let i(v) = 0*v**2 + 14 - v**2 - 6*v - v**2 - 6*v. Let o(t) = j*c(t) + i(t). Factor o(k).
3*(k - 3)*(k - 1)
Suppose 0 = -x - y - 2, 3*x + 26*y - 10 = 31*y. Solve 8/5*h**4 + 0*h**3 - 2/5*h**5 + x + 0*h + 0*h**2 = 0 for h.
0, 4
Suppose 4*h - k = -h + 40, 34 = h + 5*k. Suppose -4*y + h*y - 20 = -r, -2*y = -3*r + 9. Factor -2/19*j + 0 - 12/19*j**3 - 8/19*j**2 - 2/19*j**r - 8/19*j**4.
-2*j*(j + 1)**4/19
Let c = 1/12745 - -18403771/114705. Solve -c + 152/9*l - 4/9*l**2 = 0 for l.
19
Let p(b) = 2. Let m(s) = 5*s**4 - 720*s**3 - 2190*s**2 - 2200*s - 753. Let c(j) = m(j) + 9*p(j). Factor c(n).
5*(n - 147)*(n + 1)**3
What is f in -20/3*f**3 + 1277/3*f**2 - 128/3 + 194/3*f = 0?
-2/5, 1/4, 64
Let i(x) be the third derivative of 2/3*x**6 - 2*x + 0 - 17/5*x**5 + 6*x**2 + 0*x**3 - 2/105*x**7 + 0*x**4. Factor i(t).
-4*t**2*(t - 17)*(t - 3)
Let b(k) be the second derivative of k**7/273 + 2*k**6/195 - k**4/39 - k**3/39 - 3749*k. Suppose b(a) = 0. What is a?
-1, 0, 1
Let z = 71 - 6