/80*k**q. Factor d(v).
3*(v - 2)*(3*v + 2)/4
Let r(q) = q**2 + 66. Let m be r(0). Suppose -m*a + 12 = -62*a. Factor 182*z**2 - 60*z**a + 15 - 197*z**2 + 20*z**4 + 40*z + 0*z**4.
5*(z - 3)*(z - 1)*(2*z + 1)**2
Suppose s = -5*j - 7, 2*j + 42*s = 38*s - 10. Let v be (-75)/(-100)*(-28)/(-15) + j. Find c, given that v*c**3 + 4/5 + 2*c + 8/5*c**2 = 0.
-2, -1
Suppose -3*i - a + 3*a + 2 = 0, -5*a = -2*i - 6. Let l be 4/(-6) - 22/(-6). Solve 4*y**2 - 41*y**l + y**5 + 36*y**3 - y**4 + 0*y - 4 + 4*y + y**i = 0 for y.
-2, -1, 1, 2
Let n = 90 + -78. Let t(g) = 4*g**2 - 6 + 6 + 2*g**2 + n*g. Let j(q) = 17*q**2 + 37*q. Let o(f) = -4*j(f) + 11*t(f). Factor o(u).
-2*u*(u + 8)
Let q(z) be the third derivative of 1/420*z**5 - 9/56*z**4 - 3/14*z**3 + 30*z**2 + 1/280*z**6 + 0 + z. Find i such that q(i) = 0.
-3, -1/3, 3
Suppose -2*u + 2*s - 3*s + 8 = 0, -u + 11 = -3*s. Suppose -3*w = -4*g - 1, -3*w + 12 = -g + u. Factor 0*f + 0*f**2 - 2/9*f**w + 0.
-2*f**3/9
Suppose 94 = 103*a - 627. Let p(l) be the second derivative of 0*l**3 + 0*l**4 + 2/21*l**a + 0*l**2 + 17*l + 0 + 0*l**6 + 0*l**5. Factor p(g).
4*g**5
Suppose 8*t - 4*t + 4*x = 1512, t - 366 = 2*x. Let w be (1 - 9) + 3036/t. Find v, given that -2/17*v**4 + 2/17*v**2 + 2/17*v - w*v**3 + 0 = 0.
-1, 0, 1
What is r in 3/4*r**2 + 101568 + 552*r = 0?
-368
Let b(l) be the third derivative of -l**5/180 - 19*l**4/72 + 25*l**3/3 + 9*l**2. Determine q, given that b(q) = 0.
-25, 6
Let t(j) be the second derivative of 3*j**7/119 - 139*j**6/85 + 3629*j**5/85 - 9659*j**4/17 + 68783*j**3/17 - 265837*j**2/17 - 4*j - 173. Factor t(n).
2*(n - 13)**3*(3*n - 11)**2/17
Let j = 64574 + -64572. Factor -1/2*s**4 - 29/2*s**3 - 112*s**j + 0 - 98*s.
-s*(s + 1)*(s + 14)**2/2
Let s(y) = -2*y**2 + 2*y - 4. Let a(b) = -2*b**2 + b - 5. Suppose 6*q = -q + 56. Suppose 15*o - q = 11*o. Let x(k) = o*a(k) - 3*s(k). Factor x(f).
2*(f - 1)**2
Suppose -2493 = -40*j + 387. Solve -1/8*b**2 - j - 6*b = 0.
-24
Suppose -4*k = p + 2*p - 490, -5*k - 6*p + 617 = 0. Factor -169*v**2 + 640 - k*v**3 + 4*v**4 - 58*v - 70*v + 125*v**3 + 49*v**2.
4*(v - 5)*(v - 2)*(v + 4)**2
Let 56*p - 2/5*p**3 + 32/5*p**2 - 4704/5 = 0. What is p?
-12, 14
Let k be (0/2)/(1/(-1) + 0). Suppose -d - 5 = -5*q, -q + 4*d = 27 - 9. Let -6*a + 2*a**q - 3*a + 3*a + k*a**2 = 0. What is a?
0, 3
Factor 618/5*i - 3/5*i**2 + 633.
-3*(i - 211)*(i + 5)/5
Let o(m) = -8*m**3 - 37*m**2 + 113*m + 10. Let l(h) = 38*h**3 + 186*h**2 - 564*h - 48. Let i(a) = -5*l(a) - 24*o(a). Factor i(y).
2*y*(y - 18)*(y - 3)
Find b, given that 998*b**2 - 11*b**3 + 1811*b - 6*b**3 - 327*b + 3*b**3 - 708*b**2 + 400 = 0.
-4, -2/7, 25
Let y be (-1)/12*3*-4. Suppose 3*j - 2*j + 2*f = -y, -4*j = 5*f - 5. What is o in -26*o**3 + 37*o**3 - 5*o**4 + 10*o - 26*o**3 + 5*o**2 + 5*o**j = 0?
-1, 0, 1, 2
Let t(w) be the third derivative of -5/14*w**3 + 0 + 1/1470*w**7 + 130*w**2 + 1/30*w**5 + 0*w - 2/105*w**6 + 2/21*w**4. Factor t(b).
(b - 15)*(b - 1)**2*(b + 1)/7
Let -11/9*h**2 - 19/3*h - 10/9 = 0. Calculate h.
-5, -2/11
Let j(c) be the second derivative of c**4/12 - 5*c**3/3 + c**2 + 24*c. Let o be j(10). Factor 6*p**4 - 9*p**3 - 4 + 2 - 5 + 21*p - o - 9*p**2.
3*(p - 1)**3*(2*p + 3)
Let k(z) be the first derivative of -3*z**3/5 - 30*z**2 + 204*z/5 - 519. Factor k(r).
-3*(r + 34)*(3*r - 2)/5
Let u be ((-197)/78 - ((-4056)/(-144) + -29)) + 3 + 1. Let -u*g + 18/13*g**2 - 50/13 - 2/13*g**3 = 0. What is g?
-1, 5
Let n be 15 + 2 + 21/(-7). Solve -2*t**2 + 13*t**4 - t**5 + 0*t**5 + 9*t + n*t - 22*t**3 + 2 - 13 = 0.
-1, 1, 11
Let a(o) be the first derivative of -o**6/6 - 3*o**5/5 + 25*o**4/4 + 83*o**3/3 - 12*o**2 - 80*o + 8. Solve a(h) = 0.
-4, -1, 1, 5
Let r be -77 - -79 - ((-39 - 0) + -1). Suppose 6 = -r*n + 45*n. Factor 0 - 1/2*x + 3/2*x**n - 3/2*x**3 + 1/2*x**4.
x*(x - 1)**3/2
Let o(z) be the second derivative of -53*z**4/4 - 22*z**3 + 27*z**2/2 + 23*z - 1. Determine s, given that o(s) = 0.
-1, 9/53
Let v(g) be the third derivative of -g**7/315 - 5*g**6/18 + 116*g**5/15 - 728*g**4/9 + 3968*g**3/9 + 231*g**2 - 5. Suppose v(a) = 0. What is a?
-62, 4
Find l, given that 5 - 7/4*l**3 + 23/4*l**2 - 7/4*l**4 - 1/4*l**5 + 11*l = 0.
-5, -2, -1, 2
Find d such that 609*d**4 - 349*d**2 + 28 - 16/3*d + 245/3*d**5 + 635/3*d**3 = 0.
-7, -1, -2/7, 2/5, 3/7
Let n(v) be the first derivative of -21/2*v**2 - 126 - v**3 + 24*v. Factor n(m).
-3*(m - 1)*(m + 8)
Let w(q) be the second derivative of 2*q**7/21 - 271*q**6/15 + 2457*q**5/2 - 62775*q**4/2 + 30375*q**3 - q + 92. Suppose w(v) = 0. Calculate v.
0, 1/2, 45
Factor -2/7*z**3 + 92/7 + 26*z + 88/7*z**2.
-2*(z - 46)*(z + 1)**2/7
Let t = -23689 + 23694. Let k(w) be the second derivative of 2/3*w**4 + 0*w**3 + 0*w**2 - 45*w + 0 + 1/5*w**t. Determine u, given that k(u) = 0.
-2, 0
Let y(v) = -v**3 - 19*v**2. Let l be y(0). Solve -1/4*m**4 + 3/4*m + 5/2*m**5 + 1/4*m**2 - 13/4*m**3 + l = 0 for m.
-1, -1/2, 0, 3/5, 1
Let w(o) = -3*o**3 + 14*o**2 + 117*o. Let f be w(9). Factor 9/7*v**3 + 0 + f*v**4 + 6/7*v**2 + 0*v - 3/7*v**5.
-3*v**2*(v - 2)*(v + 1)**2/7
Let x = 54 - 50. Let -928 + 445 + 451 - 8*a + x*a**2 = 0. What is a?
-2, 4
Determine o, given that 612*o**3 - 1917/2*o**2 - 81/2 + 24*o**4 + 363*o = 0.
-27, 1/4, 1
Let a = 130 + -128. Suppose -4*c + a = 3*u, -64*c + 5*u + 2 = -68*c. Determine b so that -2/5*b**3 + 0*b**c - 1/5 + 2/5*b + 1/5*b**4 = 0.
-1, 1
Let f(j) = 3*j**4 - 62*j**3 + 323*j**2 + 760*j + 400. Let i(w) = 7*w**4 - 136*w**3 + 647*w**2 + 1520*w + 800. Let n(o) = 5*f(o) - 2*i(o). Factor n(p).
(p - 20)**2*(p + 1)**2
Factor -7568 + 7584 + 44*z**4 - 40*z + 36*z**2 - 42*z**4 - 14*z**3.
2*(z - 2)**3*(z - 1)
Let y = 982414/5 - 192998. Factor 528/5*x + 4/5*x**2 + y.
4*(x + 66)**2/5
Let f(j) = -45*j - 90. Let b be f(-2). Let c(t) be the second derivative of 1/65*t**5 + 1/195*t**6 + b + 17*t - 1/78*t**4 - 2/39*t**3 + 0*t**2. Factor c(v).
2*v*(v - 1)*(v + 1)*(v + 2)/13
Let j = 489 - 486. Solve 50*a**2 + j*a**4 - 122*a**2 - 72 - 111*a**3 - 48 - 357*a - 279*a**2 + 0*a**4 = 0.
-1, 40
Find h such that -66*h**2 + 0 - 104/7*h**3 - 612/7*h - 6/7*h**4 = 0.
-34/3, -3, 0
Suppose -2*z = -4643 + 4683, -3*o = 4*z + 68. Let p**3 - 5*p**5 + 0 - 19/2*p**o + 0*p**2 + 0*p = 0. What is p?
-2, 0, 1/10
Suppose 1040*o - 3493 = 404 + 263. Factor 2/3*s**5 - 4/3*s**2 - 8/3*s**o + 10/3*s**3 + 0 + 0*s.
2*s**2*(s - 2)*(s - 1)**2/3
Find v, given that 92/7*v + 24 + 4/7*v**2 = 0.
-21, -2
Let i(q) = -2*q**5 - q**4 - q**3 + 3*q + 4. Let x(r) = -7*r**5 + 14*r**4 - 61*r**3 + 30*r**2 + 18*r + 24. Let f(n) = -6*i(n) + x(n). Factor f(k).
5*k**2*(k - 1)**2*(k + 6)
Suppose 5*x**4 + 1473 - 2*x**4 - 2535*x**3 + 2649*x**3 + 1287*x**2 + 1995 + 3876*x = 0. What is x?
-17, -2
Let h(b) = 7*b**4 - 15*b**3 - 13*b**2 + 155*b - 2. Let a(t) = 73*t**4 - 149*t**3 - 132*t**2 + 1551*t - 21. Let p(u) = 2*a(u) - 21*h(u). Factor p(y).
-y*(y - 17)*(y - 3)*(y + 3)
Suppose 0 = 2*q + 5*j + 10, -2*j - 1 = 4*q + 3. Suppose 30 = 4*c + 3*n + 35, 4*c - 9 = -n. Find k, given that -1/3*k + q*k**2 + 1/6*k**c + 1/3*k**3 - 1/6 = 0.
-1, 1
Let q = -150099 - -300231/2. Determine y, given that -27/2*y**2 - q + 3/2*y**3 - 63/2*y = 0.
-1, 11
Suppose -16*s + 2128 = -9*s. Find w such that 1413 - 445 + 216*w - s*w + 2*w**2 = 0.
22
Let l be 642/279 + (68 - 25284/372). Suppose l*p + 0 - 1/9*p**2 = 0. Calculate p.
0, 21
Let m be -2*7/2072*1312/(-6). Let y = m + -30/37. Factor 8/3*j**3 + 2/3*j**4 + 8/3*j + 4*j**2 + y.
2*(j + 1)**4/3
Suppose 2*y - 30 = -3*y. Suppose -65 = -7*v - y*v. Factor -p**v - p**4 + 3*p**5 + p**2 - p**5 - p**3.
p**2*(p - 1)**2*(p + 1)
Suppose -81 + 49 = 18*x - 68. Let v(b) be the second derivative of -2/3*b**3 + 1/6*b**4 + 17*b + 0 - 3*b**x. Factor v(z).
2*(z - 3)*(z + 1)
Let c(y) be the first derivative of 3*y**4/16 + 4*y**3 - 3*y**2/8 - 12*y - 3813. Determine n so that c(n) = 0.
-16, -1, 1
Suppose -5*g - 19 = -2*h, -10*g + 13 = 5*h - 11*g. Suppose 5*w = 3*d - 10, -2*d + 16*w - h = 17*w. Factor 0*b + 0 + 1/5*b**3 - 4/5*b**4 + d*b**2.
-b**3*(4*b - 1)/5
Let y(c) be the second derivative of -31/9*c**3 - 1/9*c**4 + 44*c + 1 - 5*c**2. Factor y(l).
-2*(l + 15)*(2*l + 1)/3
Suppose -17*p = p + 23*p - 5*p. Let a(u) be the second derivative of 17/42*u**3 - 2*u + p + 3/7*u**2 + 5/84*u**4. Find n, given that a(n) = 0.
-3, -2/5
Factor 177/7*q + 176/7 + 1/7*q**2.
(q + 1)*(q + 176)/7
