 + 9*z**4.
4*z*(z - 4)*(z - 1)*(z + 2)
Let n be 158/42 - (16 + -4 - 5). Let s = 1460/399 + n. Factor -s + 2/19*u**2 + 0*u.
2*(u - 2)*(u + 2)/19
Let f be 36/(-270)*20 - 38/(-3). Suppose f*l + 6 + 3/2*l**2 = 0. Calculate l.
-6, -2/3
Factor 1518*j**4 + 9780*j**2 - 2969*j**4 + 3256 + 9772*j + 3268*j**3 + 1455*j**4.
4*(j + 1)**3*(j + 814)
Let b be ((-1)/4*2)/((-11)/(-110)). Let h be (50/30)/(b/(-6)). What is d in -37 + 5*d + 12 + 15 + 5*d**h = 0?
-2, 1
Let a be (1/(-14))/(((-2112)/385)/16). Let p(w) be the second derivative of -w**2 + 7/40*w**5 - 4/3*w**3 + 0 - a*w**4 + 13*w. Find g such that p(g) = 0.
-1, -2/7, 2
Let q(s) = s**2 + s. Let g(l) = 6*l**2 - 5*l + 25. Suppose 4*y + 73 = 5*f, -4*y = f + 103 - 12. Let u = y + 37. Let i(x) = u*q(x) - 3*g(x). Factor i(w).
-3*(w - 5)**2
Let b(s) be the second derivative of -s**5/5 + 32*s**4/3 - 86*s**3 - 324*s**2 - 7379*s. Factor b(m).
-4*(m - 27)*(m - 6)*(m + 1)
Let -351/2 - 1/2*s**2 - 20*s = 0. Calculate s.
-27, -13
Let c(z) be the second derivative of 405/2*z**2 + 0 + 3/2*z**5 - 535/12*z**4 + 390*z**3 + 129*z. Suppose c(w) = 0. What is w?
-1/6, 9
Let s(q) = 21 - 16 - q**2 + 2*q**2. Let n be s(-4). Solve 6*m**3 - n*m**5 - 4*m**4 - 8*m - 8*m**2 + 23*m**5 + 12*m**4 = 0 for m.
-2, -1, 0, 1
Let s(o) be the third derivative of o**5/390 + 255*o**4/26 + 195075*o**3/13 + 9409*o**2. Factor s(z).
2*(z + 765)**2/13
Let i(n) = -20260*n - 80608. Let u be i(-4). Solve -360*h - 14*h**3 + u + 108*h**2 + 2/3*h**4 = 0 for h.
3, 6
Suppose 11*x - 135 = -58. Suppose 0 = 3*v - 5*n - 25, -v + n = -0*v - x. Determine d, given that -6*d**3 + 0*d - 3*d**2 - 15/4*d**4 + 0 - 3/4*d**v = 0.
-2, -1, 0
Suppose 6*j - 2*j + 821 = 5*l, 12 = -4*l. Let p = j - -213. Let 4/5*m**2 + p + 24/5*m = 0. What is m?
-5, -1
What is k in 720/11 - 2/11*k**2 - 4/11*k = 0?
-20, 18
Let t(m) = m**4 - 34*m**3 + 132*m**2 - 105*m + 3. Let h(v) = -v**4 + 33*v**3 - 131*v**2 + 107*v - 4. Let x(r) = -3*h(r) - 4*t(r). Suppose x(z) = 0. Calculate z.
0, 1, 3, 33
Let a = 569 - 609. Let j be (-42)/(-45) + -1 - a/60. Suppose 3/5*i**5 - 9/5*i**3 - 6/5*i + 0 + j*i**4 - 3*i**2 = 0. Calculate i.
-1, 0, 2
Suppose -15*s + 93 = 16*s. Suppose 0 = v + 3*d + 9, -s*d - 19 = -5*v - 2*d. Determine y, given that 0 + 0*y**v - 5/2*y**4 + 0*y + 0*y**2 = 0.
0
Solve 0 + 2*i**4 - 38/3*i**3 - 32/3*i - 76/3*i**2 = 0.
-1, -2/3, 0, 8
Let r(a) be the first derivative of -4*a**5/5 - 47*a**4/5 - 44*a**3/3 + 22*a**2/5 + 96*a/5 + 1954. Suppose r(u) = 0. Calculate u.
-8, -1, 3/5
Let g(o) be the first derivative of 4*o**5/5 - 73*o**4/4 - 238*o**3 + 983*o**2/2 - 200*o + 5867. Let g(c) = 0. Calculate c.
-8, 1/4, 1, 25
What is z in -2*z**4 + 0 - 20/9*z - 2/9*z**5 + 2*z**2 + 22/9*z**3 = 0?
-10, -1, 0, 1
Suppose -9*c + 8*c - 4*r + 331 = 0, 1655 = 5*c - 5*r. Let w = c + -328. Factor 2/11*m + 2/11*m**2 - 2/11 - 2/11*m**w.
-2*(m - 1)**2*(m + 1)/11
Let p be (20/8)/(-22 - 1). Let h = 991/230 + p. Find k such that -3/5*k**3 - 9/5 - 3*k**2 - h*k = 0.
-3, -1
Let n(z) = 2121*z - 163315. Let l be n(77). Factor 0 + 3/5*o**4 + 6*o**3 + 0*o + 48/5*o**l.
3*o**2*(o + 2)*(o + 8)/5
Let j(h) = -9*h - 30. Let g be j(-3). Let s(d) = 10*d**2 + 182*d + 32. Let l(a) = 2*a**2 + 36*a + 6. Let w(r) = g*s(r) + 16*l(r). Let w(y) = 0. Calculate y.
-15, 0
Suppose 36*m + 0 - 7 + 7 = 0. Let h(q) be the second derivative of 1/60*q**4 + m + 20*q + 1/15*q**3 + 1/10*q**2. Suppose h(i) = 0. Calculate i.
-1
Let q(g) = 11*g - 182. Let x be q(17). Suppose -3*w = x*o + 12, 4 = 20*w - 21*w. Find j such that 1/3*j - 5/6*j**3 - 3/2*j**2 + o = 0.
-2, 0, 1/5
Let u(x) be the third derivative of -8/57*x**5 + 400/57*x**4 + 1/1140*x**6 + 0*x**3 + 0*x - 166*x**2 + 0. Determine b so that u(b) = 0.
0, 40
Let o = 469 + -465. Factor 72*v**3 - 107*v**3 - 24*v**o - v**5 + 83*v**3 + 5*v**5 - 32*v**2.
4*v**2*(v - 2)**3
Find x, given that 3*x**3 - 1669*x - 936 + 54*x**2 + 3354*x - 1562*x = 0.
-13, -8, 3
Let x = -4585/177 - -1666/59. Determine k so that x*k - 1/3*k**2 - 10/3 = 0.
2, 5
Let h(j) be the second derivative of -2*j**5/25 - 403*j**4/90 - 232*j**3/45 - 11*j**2/5 - j - 3783. Determine r, given that h(r) = 0.
-33, -1/3, -1/4
Let u(v) be the first derivative of -2/9*v**3 - 58 - 1/30*v**4 + 1/15*v**2 + 2/3*v. Let u(t) = 0. What is t?
-5, -1, 1
Suppose 4 - 14 = -5*b. Suppose b*h = 3*w - 0*w + 112, 65 = h + 3*w. Factor 31*p**3 + 6*p**5 + 15*p**4 + 34*p**3 - h*p**3.
3*p**3*(p + 2)*(2*p + 1)
Solve -5*c**2 - 3006*c + 9*c**2 - 15*c**2 + 5*c**2 + 5*c**2 = 0 for c.
-3006, 0
Suppose 7761*i - 4811*i = 5900. Factor -267/2*t - 23763/4 - 3/4*t**i.
-3*(t + 89)**2/4
Let m(b) = -b**2 - 939*b - 218084. Let k(w) = -w + 1. Let j(y) = 5*k(y) - m(y). Factor j(g).
(g + 467)**2
Suppose 10*m = 12*m. Let w be ((m + 2)*3)/2. Factor -a**3 + 6*a - 5*a**w - 2*a**2 - 59*a**4 + 57*a**4 + 4.
-2*(a - 1)*(a + 1)**2*(a + 2)
Let f(m) = 5*m**2 - 152*m + 939. Let h(c) = 85*c**2 - 2585*c + 15960. Let i(x) = 35*f(x) - 2*h(x). Factor i(w).
5*(w - 21)*(w - 9)
Let w(d) = 10*d**2 - 892*d + 19384. Let y = -153 - -158. Let j(g) = -4*g**2 + 357*g - 7754. Let f(s) = y*w(s) + 12*j(s). Determine t so that f(t) = 0.
44
Let v(x) = -14624*x - 292477. Let j be v(-20). Let z be (1 - 0) + -1 + 8. Factor 5/2*l**4 - z*l**j + 1/2 - 4*l + 9*l**2.
(l - 1)**3*(5*l - 1)/2
Let c(r) be the first derivative of 1/26*r**4 - 102 + 1/13*r**2 + 4/39*r**3 + 0*r. Suppose c(w) = 0. Calculate w.
-1, 0
Suppose -4*k + 8 = c - 5*c, -2*c + 5*k - 16 = 0. Suppose 4*j - 9 = 3*n + 8, 3*j + 4*n - 19 = 0. Factor -u - 2*u - c*u**j + u + 6*u**3 - 2*u**3.
-2*u*(u - 1)**2*(u + 1)**2
Let w(r) be the second derivative of -r**5/8 + 805*r**4/6 - 129605*r**3/3 - 58*r + 5. Factor w(l).
-5*l*(l - 322)**2/2
Let g be 12*(12/18 + 105/70*20/(-63)). Determine n so that -30/7*n - 2/7*n**3 + g*n**2 + 0 = 0.
0, 3, 5
Let n(j) be the second derivative of -5*j**4/6 - 10855*j**3/6 + 2715*j**2 - 3031*j. Solve n(f) = 0.
-1086, 1/2
Suppose -5*u + 0*u + 15 = 5*f, -5*f = 2*u - 3. Factor 2575*p**3 - 2*p**2 + 5*p**4 - u*p**4 - 2574*p**3.
p**2*(p - 1)*(p + 2)
Suppose 0*p + 2*p - 2*u = 14, u + 16 = 2*p. Suppose 8 = -p*w + 10*w. Find n such that 17*n**4 - 13*n**3 + n**3 + 12*n**2 + w*n - 25*n**4 = 0.
-2, -1/2, 0, 1
Suppose 86*a - 157*a = -99*a. Let c(o) be the second derivative of -8/3*o**3 - 10*o + 8*o**2 + a - 7/3*o**4 - 2/5*o**5. Suppose c(n) = 0. What is n?
-2, 1/2
Let d(j) = 275*j**3 + 259*j**2 - 580*j + 18. Let v(z) = -137*z**3 - 129*z**2 + 290*z - 8. Let k(l) = -4*d(l) - 7*v(l). Factor k(o).
-(o - 1)*(o + 2)*(141*o - 8)
Let t(h) = 89*h**3 + 1244*h**2 - 21*h + 98. Let s be t(-14). Let s - 3/7*y**5 + 16/7*y + 57/7*y**3 + 16/7*y**4 + 54/7*y**2 = 0. Calculate y.
-1, -2/3, 0, 8
Let s(g) = 13*g**2 - 332*g - 8748. Let b(d) = 17*d**2 - 334*d - 8748. Let f(i) = 4*b(i) - 5*s(i). Factor f(z).
3*(z + 54)**2
Let s(g) be the third derivative of g**6/144 + 7*g**5/48 - 8*g**3 - 34*g**2. Let k(a) be the first derivative of s(a). Let k(m) = 0. What is m?
-7, 0
Let n(a) be the third derivative of -5*a**8/672 + 97*a**7/420 - 383*a**6/240 + 43*a**5/120 + 97*a**4/12 - 35*a**3/3 + 5*a**2 + 45. Suppose n(q) = 0. What is q?
-1, 2/5, 1, 5, 14
Let p be (888/45)/8 - 3/(15/4). Factor p*m**2 - 30*m - 95/3.
5*(m - 19)*(m + 1)/3
Let w(n) be the third derivative of -n**6/72 - 5*n**5/8 + 85*n**4/12 - 187*n**3/6 + 110*n**2. Let h(m) be the first derivative of w(m). Factor h(a).
-5*(a - 2)*(a + 17)
Let c be (1113/583)/(18/176). Let c + 2*a - 2/3*a**2 = 0. What is a?
-4, 7
Let j = 18164 - 54488/3. Factor -32/3*d - j*d**3 - 20/3*d**2 - 16/3.
-4*(d + 1)*(d + 2)**2/3
Let 2/9*q**3 - 346/9*q**2 + 1682 + 4930/3*q = 0. Calculate q.
-1, 87
Let v(r) = -5*r**3 - 297*r**2 - 1029*r - 1031. Let p(h) = -h**3 - 59*h**2 - 206*h - 206. Let o(f) = -22*p(f) + 4*v(f). Factor o(g).
2*(g + 2)**2*(g + 51)
Let h(u) be the second derivative of -u**4/14 + 96*u**3/7 - 564*u**2/7 - 1900*u. Factor h(g).
-6*(g - 94)*(g - 2)/7
Let n = 31801 - 222585/7. Determine s, given that 10/7*s**3 - n*s**2 - 26/7*s + 6/7 = 0.
-1, 1/5, 3
Factor -55*k + 3*k**2 - 14 - 51 + 7*k**2 + 19*k**2 - 19*k**2.
5*(k + 1)*(2*k - 13)
Let d(g) = 24*g**2 - 41*g - 800. Let v(k) = -37*k**2 + 63*k + 1200. Let y(j) = 11*d(j) + 7*v(j). Factor y(h).
5*(h - 10)*(h + 8)
Let v(y) be the second derivative of 2*y**4/3 + 10*y**3/3 + 16*y**2 + 14*y - 4. Let a(k) = -10*k**2