1*q + 3*q**3 - 30*q + 41*q = 0.
-18, 1/3, 1
Let h = -57/1156 + 635/1156. Determine q so that 9*q - 19/2 + h*q**2 = 0.
-19, 1
Suppose 194 - 206 = -6*l. Suppose 2*p - 3*p = -9. Suppose 9 + 3*y**4 - p*y**l - 21*y - y**4 + 10*y**2 + 9*y**3 = 0. Calculate y.
-3, 1/2, 1
Find b such that -54 + 20*b**4 - 30*b**2 - 4*b**5 + 112*b - 719*b**3 + 707*b**3 - 38*b**2 + 6 = 0.
-2, 1, 2, 3
Let s = -23105 - -23109. Let d(k) be the second derivative of -3/16*k**5 - 1/40*k**6 - 1/2*k**s + 0*k**2 + 0 - 1/2*k**3 + 14*k. Solve d(a) = 0 for a.
-2, -1, 0
Let u = 12757 + -153083/12. Let p(g) be the first derivative of -1/3*g**3 + 11 - 1/3*g**2 - u*g**4 + 0*g. Factor p(z).
-z*(z + 1)*(z + 2)/3
Let y(g) be the first derivative of g**4/2 - 22*g**3/3 + 4*g**2 + 120*g - 379. Factor y(f).
2*(f - 10)*(f - 3)*(f + 2)
Suppose 2*m + 0*m - 15 = -3*r, 2*m = 2*r. Solve -51*j**3 - 20*j**2 + 8*j - 4*j**5 + 28*j**m + 35*j**3 + 4*j**4 = 0 for j.
-2, 0, 1
Let d = -396 + 400. Suppose 23*a**4 - 6*a**4 + 14*a**2 - 12*a**d + 50*a**3 + 31*a**2 = 0. What is a?
-9, -1, 0
Let v(x) be the second derivative of -x**10/30240 - x**9/5040 + x**8/6720 + x**7/840 + 35*x**4/4 - 37*x. Let n(a) be the third derivative of v(a). Factor n(d).
-d**2*(d - 1)*(d + 1)*(d + 3)
Let k = -3131 + 3124. Let h(a) = -a**2 - a + 13. Let r(u) = -u**2 - u + 12. Let q be 2/(-4)*1*-12. Let n(d) = k*r(d) + q*h(d). Factor n(f).
(f - 2)*(f + 3)
Let i(u) = -9*u**3 - 4*u**2 + 37*u + 48. Suppose -7*y = 234 + 151. Let t = -60 - y. Let b(k) = k**3 - k. Let w(q) = t*b(q) - i(q). Factor w(r).
4*(r - 3)*(r + 2)**2
Let d(f) be the third derivative of -1/10*f**7 + 3/8*f**6 + 0 - 23/60*f**5 + 0*f - 1/336*f**8 - 75*f**2 + 0*f**3 + 0*f**4. What is q in d(q) = 0?
-23, 0, 1
Let f = 156087/4 + -39021. Factor 39/4*t - f*t**2 + 21/2.
-3*(t - 14)*(t + 1)/4
Let s = 581005/3 - 193667. What is l in 17/3*l**4 + 0*l + 16/3*l**3 + 5/3*l**5 + 0 + s*l**2 = 0?
-2, -1, -2/5, 0
Suppose -20*j = -7*j - 52. Factor -q**5 + 2*q**3 + q**j + 178*q - 3*q**4 + 2 + 8*q**2 - 171*q.
-(q - 2)*(q + 1)**4
What is d in -12*d**2 + 268/5*d**3 + 0*d + 0 + 9/5*d**4 = 0?
-30, 0, 2/9
Let d be (-103)/(-385) - (-8469)/(-98805). Solve d*a**2 - 4/11*a + 6/11*a**3 - 2/11*a**5 + 0 - 2/11*a**4 = 0 for a.
-2, -1, 0, 1
Factor -3171/4*i**2 - 836349/4*i + 839523/4 - 3/4*i**3.
-3*(i - 1)*(i + 529)**2/4
Let g = -6754186/1547 - -30572/7. Let k = g - 8/13. Determine w so that -12/17 + k*w - 2/17*w**2 = 0.
1, 6
Let q(t) = -t**3 + 37*t**2 + 5*t - 181. Let d be q(37). Let b be 1 - ((-34)/d - -8). Factor 3/2*z + 0 - b*z**2.
-3*z*(z - 1)/2
Let o(a) = -a**2 + 5*a + 8. Let n be o(6). Let 9*p**3 - n*p**5 - p + p**3 - 287*p**2 - 15*p - 8 + 2*p**4 + 285*p**2 = 0. What is p?
-1, 2
Let w be 10 - (-1 + -1) - 3. Let a be 111/(-90)*-8 - 20/(-150). Factor 15 - a*o**3 + w*o**3 + 3*o - 17.
-(o - 1)**2*(o + 2)
Suppose -93 = -2*a - 5*v, -a + 2*v - 3*v = -48. Let n = a + -37. Factor -n*y**2 - 634*y**3 + 632*y**3 - 3*y - 12 - 19*y.
-2*(y + 1)*(y + 2)*(y + 3)
Let g(u) be the third derivative of -1/6*u**4 - 1/60*u**5 + 0*u + 0 + 0*u**3 + 48*u**2. Factor g(r).
-r*(r + 4)
Let b(r) be the third derivative of r**6/30 + 7*r**5/15 + 2*r**4/3 - 8*r**3 + 6921*r**2. Factor b(v).
4*(v - 1)*(v + 2)*(v + 6)
Let s be -21*10/(-35)*(-5)/(-6) - 3. Let t(i) be the first derivative of 0*i + 1/3*i**3 + 3*i**2 + s - 5/2*i**4 + 3/5*i**5. Factor t(q).
q*(q - 3)*(q - 1)*(3*q + 2)
Let q(h) = -2*h**3 + 86*h**2 - 1052*h + 6. Let s(l) = -l**2 + l + 1. Suppose -5*o = 4*m - 3*m + 14, 5*m - o - 8 = 0. Let n(w) = m*q(w) - 6*s(w). Solve n(g) = 0.
0, 23
Let j(d) be the second derivative of -d**7/210 + 11*d**5/60 - 3*d**4/4 + 4*d**3/3 - 9*d**2/2 - d + 36. Let m(i) be the first derivative of j(i). Factor m(u).
-(u - 2)*(u - 1)**2*(u + 4)
Suppose -20*s - 3 - 13/4*s**2 = 0. What is s?
-6, -2/13
Factor -314*w**3 - 310*w**3 + 1375 + 5*w**2 - 425*w - 309*w**3 - 311*w**3 + 1249*w**3.
5*(w - 5)**2*(w + 11)
Let u(d) = -4*d**2 - 4. Let o(v) = -105*v**2 + 135*v - 230. Let j(f) = -o(f) + 25*u(f). Determine x so that j(x) = 0.
1, 26
Let c(r) be the first derivative of 0*r**3 + 0*r**2 + 0*r - 2/55*r**5 + 93 - 3/11*r**4. Factor c(k).
-2*k**3*(k + 6)/11
Let w(c) = 21*c**2 - 3*c + 35. Let j be w(6). Find n, given that -798*n - 3 - 5*n**3 - 7 + j*n - 20*n**2 = 0.
-2, -1
Suppose -5*z = -10*z + 75. Suppose -5*y + z = -3*s - 4, 3*y + 2*s = 0. Suppose 1/2*m**3 + 3/2*m**y + 0 + m = 0. What is m?
-2, -1, 0
Let h(m) be the second derivative of m**6/10 + 384*m**5/5 + 32511*m**4/2 - 65792*m**3 + 198147*m**2/2 - 3017*m. Suppose h(s) = 0. Calculate s.
-257, 1
Let k = -7 + 17. Let w(u) = -3*u - 3*u**2 + 9 - 18 + 2*u**4 + 7*u**3 + k. Let j(l) = -l**4 + l**3 + l + 1. Let y(f) = -6*j(f) + 3*w(f). Factor y(z).
3*(z - 1)*(z + 1)**2*(4*z + 1)
Let l(r) be the second derivative of 1/189*r**7 + 13/54*r**4 - 5 - 25*r - 7/90*r**5 - 2/9*r**3 + 0*r**2 - 1/135*r**6. Determine g, given that l(g) = 0.
-3, 0, 1, 2
Suppose 224*p**4 - 4*p**5 - 244*p**4 - 8*p**3 + 4*p**2 - 20*p**3 + 16 + 32*p = 0. What is p?
-2, -1, 1
Let k(g) be the second derivative of -g**4/78 + 556*g**3/39 - 77284*g**2/13 - g + 367. Factor k(o).
-2*(o - 278)**2/13
Suppose -3499*r + 20 = -3489*r. Let b(g) be the third derivative of 0 - 1/48*g**4 + 1/12*g**3 + 0*g + 1/480*g**5 + 11*g**r. Factor b(i).
(i - 2)**2/8
Factor x**5 + 0 + 0*x + 1/2*x**3 + 1/4*x**2 - 7/4*x**4.
x**2*(x - 1)**2*(4*x + 1)/4
Let c = 1144/37 + -2103/74. Let d(r) be the first derivative of 0*r - 10 + 0*r**3 + 5/2*r**2 - c*r**4 + 0*r**5 + 5/6*r**6. Factor d(m).
5*m*(m - 1)**2*(m + 1)**2
Let y(f) be the first derivative of -f**4/2 - f**3 + 2*f + 80. Let j(x) = 6*x**3 + 8*x**2 - x - 7. Let v(i) = 2*j(i) + 7*y(i). Factor v(g).
-g*(g + 2)*(2*g + 1)
Let u be (-9)/(-48)*((-96)/9)/(-2 - 2). Factor 61/2*o + 29/2*o**2 + 31/2 - u*o**3.
-(o - 31)*(o + 1)**2/2
Factor -1536/7 + 8/7*l + 384/7*l**2 - 2/7*l**3.
-2*(l - 192)*(l - 2)*(l + 2)/7
Let q(j) be the third derivative of -j**7/630 - 43*j**6/360 - 41*j**5/90 + 456*j**2. Solve q(o) = 0 for o.
-41, -2, 0
Factor 0 - 33/7*n**3 - 27/7*n - 57/7*n**2 - 3/7*n**4.
-3*n*(n + 1)**2*(n + 9)/7
Factor -3*w**4 + 3267*w**3 - 6626*w**3 + 3245*w**3 - 720*w**2.
-3*w**2*(w + 8)*(w + 30)
Let c(d) be the second derivative of d**5/50 + 7*d**4/30 + 2*d**3/5 + 174*d - 12. Let c(v) = 0. Calculate v.
-6, -1, 0
Let b be 2254/(-644)*(-10)/28. Solve 0*n**3 + 0*n + 0 - b*n**4 + 5*n**2 = 0 for n.
-2, 0, 2
Let w = -29 + 32. Suppose -2*k - 8 = -q, 7 = -q - 6*k + w*k. Let 48*v**2 + q*v**3 + 5*v - 40*v**2 + 3*v = 0. Calculate v.
-2, 0
Let d be 109/6 + 5166/(-287). Let h(i) be the third derivative of -4/3*i**3 + 0 - 1/30*i**6 + d*i**4 - 5*i**2 + 0*i - 2/105*i**7 + 1/5*i**5. Factor h(y).
-4*(y - 1)**2*(y + 1)*(y + 2)
Let y(h) be the second derivative of h**4/36 - 10*h**3 + 179*h**2/6 + 5383*h. Factor y(z).
(z - 179)*(z - 1)/3
Let k(o) be the first derivative of o**7/210 + o**6/120 - o**5/60 - o**4/24 - 21*o**2/2 + 66. Let j(x) be the second derivative of k(x). Factor j(r).
r*(r - 1)*(r + 1)**2
Suppose 5*d = -13*k + 15*k - 19, k = 3*d + 11. Determine g, given that -145 + 252*g**4 - 1036*g**3 - 20*g**5 - 240*g - 142 + 1495*g**k - 113 - 51*g**2 = 0.
-2/5, 1, 2, 5
Let w(b) be the second derivative of -59*b + 0 - 94*b**2 + 92/3*b**3 + 1/3*b**4. Factor w(l).
4*(l - 1)*(l + 47)
Let i(j) be the third derivative of j**6/180 + 119*j**5/18 + 1187*j**4/36 + 593*j**3/9 - 3301*j**2. Determine g, given that i(g) = 0.
-593, -1
Suppose -i + 28 = 1. Suppose -5*p + 68 = -i. What is k in 62*k**2 + 45*k**3 + 19*k**2 + 10 + 65*k + p*k**2 = 0?
-1, -2/9
Let u be (2 - 1)/((-52)/(-8) - 6). Suppose -1 + 68 - 48*p - 2*p**2 - u*p**2 + 45 = 0. What is p?
-14, 2
Factor -25*p**2 - 54*p**3 + 3*p**4 + 57 + 102*p - 48*p - 35*p**2.
3*(p - 19)*(p - 1)*(p + 1)**2
Let p(q) be the third derivative of 21/4*q**4 - 2 + 0*q + 118*q**2 - 27*q**3 + 17/30*q**5 + 1/60*q**6. Determine u, given that p(u) = 0.
-9, 1
Let n(d) be the first derivative of 8*d**6/3 + 264*d**5/5 + 337*d**4/4 - 120*d**3 - 227*d**2/2 - 30*d + 6000. Solve n(v) = 0.
-15, -2, -1/4, 1
Let d(o) be the second derivative of -3*o**8/56 - o**7/5 - 4*o**6/15 - 2*o**5/15 - 175*o**2/2 + 132*o. Let f(u) be the first derivative of d(u). Factor f(b).
-2*b**2*(b + 1)*(3*b + 2)**2
Determine f, given that 7*f**2 + 5*f**2 + 23*f - 30*f**2 - 130 + 17