or m(k).
-k*(k + 4)/3
Factor 3588*r - 1601*r**2 + 1604*r**2 - 186104 + 1258916.
3*(r + 598)**2
Let k be (4 - 672/176) + (8 - 7)/((-66)/(-153)). Suppose 30 + 60*i**3 - 245/4*i + k*i**2 + 5/4*i**5 - 65/2*i**4 = 0. Calculate i.
-1, 1, 24
Let g = 401 + -346. Find h, given that -28*h**5 - 5*h**2 + 216*h**4 - 178*h**2 + g*h**2 - 384*h**3 = 0.
-2/7, 0, 4
Let y = 44 - 32. Suppose -8*c + 4 = -y. What is u in 6*u**3 + 3*u**4 - u**2 - c*u**2 - 6*u**4 = 0?
0, 1
Let z be -1*(-36)/14 - 252/(-588). Let f = -7 - -13. Factor w**z + 12*w**2 + 2*w**3 - 6 + f.
3*w**2*(w + 4)
Let i be (-40)/10*1/14*(-15)/5. Let d(t) be the first derivative of -9/14*t**2 - 21 + 1/7*t**3 + i*t. Factor d(h).
3*(h - 2)*(h - 1)/7
Let o be ((-15)/(-3) + 1)/2. Suppose 5*d = 5*z - 91 - 69, -o*z + 61 = 4*d. Factor 16*p - 7 + z + 3*p**2 - 2*p**2 - 5*p**2.
-4*(p - 5)*(p + 1)
Let w(n) be the first derivative of 0*n + 140 - 4/3*n**3 + 14*n**2. Factor w(a).
-4*a*(a - 7)
Let w = -6/19 - -227/57. Suppose 113 = 80*f + 33*f - 113. Determine q, given that 1/3*q**3 + f + w*q + 2*q**2 = 0.
-3, -2, -1
Let y(l) be the third derivative of 0 + 1/420*l**7 + 117*l**2 + 2/3*l**3 + 1/30*l**6 + 7/40*l**5 + 0*l + 11/24*l**4. Factor y(q).
(q + 1)**2*(q + 2)*(q + 4)/2
Let m(x) be the second derivative of -x**6/105 + 32*x**5/35 + 136*x**4/21 + 222*x. Solve m(k) = 0 for k.
-4, 0, 68
Let t = -929270 + 929272. Let 2/9*c**t + 0 + 4/9*c - 2/3*c**3 = 0. Calculate c.
-2/3, 0, 1
Let s = -17946 + 17946. Let b(c) be the second derivative of 0*c**3 + 20*c + 1/12*c**7 + 1/20*c**5 + 3/20*c**6 + s*c**4 + 0 + 0*c**2. Solve b(l) = 0 for l.
-1, -2/7, 0
Let w(j) be the second derivative of -j**6/55 + 9*j**5/55 + 3*j**4/22 - 56*j**3/11 + 144*j**2/11 + 1111*j. Solve w(k) = 0 for k.
-3, 1, 4
Factor -121*u**4 - 221*u**3 + 111*u**3 + 102*u**3 + 6*u**2 + 123*u**4.
2*u**2*(u - 3)*(u - 1)
Let k(b) be the first derivative of -9/2*b + 1/12*b**6 + 7/3*b**3 - 1/2*b**5 + 1/4*b**4 - 130 - 3/4*b**2. Find r such that k(r) = 0.
-1, 1, 3
Let k(h) be the first derivative of 3*h**5/5 - 9*h**4/2 + h**3 + 36*h**2 + 48*h - 1351. Factor k(c).
3*(c - 4)**2*(c + 1)**2
Let u(l) = 14*l**3 - 1468*l**2 - 12596*l - 25835. Let o(m) = -2*m**3 + 210*m**2 + 1800*m + 3690. Let n(k) = 15*o(k) + 2*u(k). Suppose n(w) = 0. What is w?
-4, 115
Let r(a) be the third derivative of a**6/3060 - 31*a**5/510 + 961*a**4/204 - 53*a**3/2 - 18*a**2. Let b(i) be the first derivative of r(i). Factor b(v).
2*(v - 31)**2/17
Let t(l) be the first derivative of -105 + 1/5*l**5 + 13/3*l**3 - 6*l**2 + 4*l - 3/2*l**4. Factor t(h).
(h - 2)**2*(h - 1)**2
Factor 0 + 9*l**3 - 3/5*l**4 + 63*l - 213/5*l**2.
-3*l*(l - 7)*(l - 5)*(l - 3)/5
Let b(m) = 6*m**2 + 7*m - 2. Suppose -2*i + 5*v - 5 = 4*v, -5*i - v + 5 = 0. Let l(t) = -3*t + i*t - t + 3*t. Let f(c) = -b(c) - 3*l(c). Solve f(g) = 0 for g.
-1, 1/3
Let q(u) be the first derivative of 29/14*u**2 + 0*u + 137 + 1/21*u**3. Let q(d) = 0. Calculate d.
-29, 0
Let x = -708749/5 - -141750. Factor -26/5*q - 169/5 - x*q**2.
-(q + 13)**2/5
Let h(d) = -499*d + 5988. Let g be h(12). Let b(x) be the second derivative of 26*x + g - 1/10*x**2 + 1/6*x**3 - 1/15*x**4. Factor b(q).
-(q - 1)*(4*q - 1)/5
Let k(s) be the third derivative of 1/42*s**3 + 1/56*s**4 + 8*s**2 + 0 + 0*s + 1/210*s**5. Let k(x) = 0. What is x?
-1, -1/2
Let l(n) = -n**2 - 2*n. Let h(o) = -5*o**2 + 194*o. Let r(d) = -d**2 + 48*d. Let q(v) = 2*h(v) - 9*r(v). Let x(p) = -4*l(p) + q(p). Factor x(a).
3*a*(a - 12)
Let q(n) be the second derivative of -n**5/50 + 73*n**4/5 + 588*n**3/5 + 1768*n**2/5 + 571*n + 2. Solve q(c) = 0.
-2, 442
Determine i so that -1938/5*i**4 + 19944*i**3 + 144144*i + 58080 + 495024/5*i**2 + 9/5*i**5 = 0.
-2, -2/3, 110
Suppose b - 12*l + 14*l - 1770 = 0, 0 = 4*b + 3*l - 7095. Let c = 1776 - b. Let 7*n**3 - 4/3*n**4 - 5/3*n**2 + c + 0*n = 0. Calculate n.
0, 1/4, 5
Let g(i) = 22*i**2 + 326*i - 648. Let r(b) = 7*b**2 + 109*b - 216. Let k(d) = 2*g(d) - 7*r(d). Suppose k(v) = 0. Calculate v.
-24, 9/5
Let l(h) be the second derivative of 0 + 1/5*h**5 - 8/3*h**3 - 72*h + 2/3*h**4 - 16*h**2. Let l(y) = 0. What is y?
-2, 2
Let b(k) be the first derivative of -27/8*k**4 + 5 + 57/20*k**5 + 0*k**2 + 0*k**3 + 0*k - 1/8*k**6. Determine l so that b(l) = 0.
0, 1, 18
Let q(x) be the second derivative of x**5/50 - 7*x**4/15 - 452*x**3/15 - 168*x**2 - 385*x - 4. Factor q(w).
2*(w - 30)*(w + 2)*(w + 14)/5
Let n = 17022 + -17022. Determine y so that 1/9*y**2 - 2/9*y + n = 0.
0, 2
Let y(u) be the third derivative of -1/24*u**6 + 0*u - 61*u**2 + 5/8*u**4 + 0 + 0*u**5 - 5/3*u**3. Find h, given that y(h) = 0.
-2, 1
Let t(p) = -3*p**3 + 30*p**2 + 2. Let h be t(10). Find w, given that -3*w**h - 93*w + 2*w**2 + 81*w - 7*w**2 = 0.
-3/2, 0
Suppose -351 = 4*c + 133. Let j = -117 - c. Factor 529*b**4 - 2*b**2 - 526*b**j - b**2.
3*b**2*(b - 1)*(b + 1)
Solve -1938*n**2 + 0 - 231/2*n**4 + 3/2*n**5 - 4332*n + 2277*n**3 = 0.
-1, 0, 2, 38
Let p(a) = 5*a + 33. Let k be p(-6). Let 106 - 103 - 10*m**2 + k*m**4 + 4*m**2 = 0. Calculate m.
-1, 1
Let p(i) be the first derivative of 0*i + 1/60*i**5 + 11/2*i**2 + 26 + 1/3*i**3 - 1/8*i**4. Let j(m) be the second derivative of p(m). Solve j(c) = 0 for c.
1, 2
Suppose 7*p + 647 = 675. Let -2107*j - 6*j**2 + p*j**2 + 3*j**2 + 2109*j = 0. Calculate j.
-2, 0
Find x, given that 50*x**5 - 22*x**4 + 9*x**2 + 65*x**2 - 23*x**3 - 42*x**5 + 14*x**2 + 24*x - 15*x**3 = 0.
-2, -1/4, 0, 2, 3
Factor 225/4*d - 3/2*d**2 - 3/4*d**3 + 162.
-3*(d - 9)*(d + 3)*(d + 8)/4
Suppose 4*g**4 - 79*g**2 + 387*g + 334*g - 537*g**2 + 128*g + 2400 - 292*g**3 + 319*g = 0. Calculate g.
-2, 2, 75
Let a(u) be the first derivative of 5/4*u**4 + 2/5*u**5 - u**2 - 76 + 1/3*u**3 + 0*u. Factor a(z).
z*(z + 1)*(z + 2)*(2*z - 1)
Let o(m) = -4*m + 18. Let l be o(4). Factor -2*y + 9*y**3 + 3*y - 43*y**3 + 3*y - 30*y**l.
-2*y*(y + 1)*(17*y - 2)
Solve 5*j**3 + 1/4*j**4 + 108 + 58*j - 181/4*j**2 = 0 for j.
-27, -1, 4
Let s + 16 - 68*s**2 + 1019*s**3 - 1037*s**3 - 13*s - 40*s - 4*s = 0. Calculate s.
-2, 2/9
Let h be (-628)/(-180) + (66/(-54))/(-11). Factor 3/5*r**3 + h*r**2 - 3/5*r - 18/5.
3*(r - 1)*(r + 1)*(r + 6)/5
Let l(j) be the third derivative of 6 + 0*j + 12*j**2 - 7/160*j**5 + 1/120*j**6 + 11/96*j**4 - 1/1680*j**7 - 1/6*j**3. Determine q, given that l(q) = 0.
1, 2, 4
Suppose -15*l + l = -22442. Factor -10*m + 1613*m**3 + 5*m**4 + 0*m**4 - l*m**3 - 5.
5*(m - 1)*(m + 1)**3
Let t(x) be the second derivative of 0 + 0*x**3 + 39*x - 11/9*x**4 - 1/15*x**5 + 0*x**2. Suppose t(v) = 0. Calculate v.
-11, 0
Solve -22*x + 6*x**5 - 80/7 - 244/7*x**4 + 16*x**3 + 324/7*x**2 = 0.
-1, -1/3, 1, 8/7, 5
Let c(x) be the second derivative of x**5/60 - x**4/24 - x**3/3 + 3*x**2 + 63*x. Let r(g) be the first derivative of c(g). Factor r(n).
(n - 2)*(n + 1)
Let o(j) be the first derivative of -3/2*j**3 - 81/4*j + 3/20*j**5 + 27/2*j**2 - 3/4*j**4 - 37. Factor o(z).
3*(z - 3)**2*(z - 1)*(z + 3)/4
Let c(o) = o**3 + 29*o**2 - 4*o - 93. Let d be c(-29). Suppose -d*n + 41*n = 54. Determine f, given that 5/4*f**n - 1/2*f**2 - 5/4*f + 1/2 = 0.
-1, 2/5, 1
Let w(v) be the second derivative of 1/10*v**5 + 4/189*v**7 - 11*v + 0 + 11/135*v**6 + 0*v**2 + 1/54*v**4 - 1/27*v**3. Factor w(j).
2*j*(j + 1)**3*(4*j - 1)/9
Let g(r) = r**5 - r**4 + 6*r**3 - r**2 + r + 1. Let a(q) = 8*q**5 + 250*q**4 - 16845*q**3 + 16632*q**2 + 9*q + 9. Let i(y) = 2*a(y) - 18*g(y). Factor i(u).
-2*u**2*(u - 129)**2*(u - 1)
Suppose -40*k + 72*k + 417*k = -701*k + 139150. Suppose -11*g - 1/4*g**2 - k = 0. Calculate g.
-22
Let i = -303754 - -911267/3. Solve -10/3*o + 5/3*o**3 + 0 - i*o**2 = 0.
-1, 0, 2
Factor -1/5*r**3 + 24 + 58/5*r + 3/5*r**2.
-(r - 10)*(r + 3)*(r + 4)/5
Let b(r) = -14*r - 23. Let c be b(-2). Let x be ((-35)/(-14))/(c*1/3). Let 15/8*h**2 - x + 0*h**3 - 3/8*h**4 + 0*h = 0. What is h?
-2, -1, 1, 2
Suppose -2*a = -5*t - 8, 7*t + 4 = a + 9*t. Let c be 5*a/(-4) + 1356. Factor -1356*m**3 + c*m**3 - 3 - 9*m**2 + 1 - m**4 - 7*m.
-(m + 1)**3*(m + 2)
Let u(q) be the first derivative of q**8/2520 - q**7/420 - q**6/540 + q**5/60 - 23*q**3/3 - q**2 - 36. Let b(l) be the third derivative of u(l). Factor b(v).
2*v*(v - 3)*(v - 1)*(v + 1)/3
Let v(s) = s**3 - 29*s**2 + 33*s - 138. Suppose 174 - 40 = 5*m + 2*n, 41 = 2*m + 5*n. Let i be v(m). Find h, given that 2/7 + 8/7*h + 6/