*2 - 18*k - 10*k**a.
5*k*(k - 1)**3*(k + 1)
Let a = 2146/2725 + 34/2725. Factor -20*p + 48/5 + 56/5*p**2 - a*p**3.
-4*(p - 12)*(p - 1)**2/5
Let s be 33 + 13 + -13 + (0 + 1)/(-1). Factor 9/2*v**2 + 1/4*v**3 + 24*v + s.
(v + 2)*(v + 8)**2/4
Let l(z) = -3*z - 9. Let j be l(-4). Let s(o) be the first derivative of o**2 + 2/3*o**j + 0*o + 20. Let s(r) = 0. Calculate r.
-1, 0
Find q, given that -7/10*q**3 - 6/5 + 22/5*q - 1/2*q**2 = 0.
-3, 2/7, 2
Let r(n) = 3*n**3 + 27*n**2 - 90*n + 6. Let c(l) = 6*l**3 + 55*l**2 - 180*l + 13. Let g(m) = 6*c(m) - 13*r(m). Factor g(z).
-3*z*(z - 3)*(z + 10)
Suppose 2*w - 710 = -2*x, -3*w + 5*x + 1095 = 2*x. Let p be -6*(-1)/2 - w/140. What is f in -p*f**3 + 0*f - 1/7*f**2 + 0 - 1/7*f**5 - 3/7*f**4 = 0?
-1, 0
Let n = -196 - -200. Suppose 9*m**4 - 4*m**5 + 2*m**5 + 5*m**n - 22*m**3 + 10*m**2 + 0*m**3 = 0. What is m?
0, 1, 5
Let a(z) be the first derivative of -z**3 + 627*z**2 + 3789*z - 5525. Factor a(r).
-3*(r - 421)*(r + 3)
Let f be (5/(-275))/((-12)/(-157830)). Let t = -475/2 - f. Determine i, given that t*i + 6/11*i**3 + 18/11*i**2 + 6/11 = 0.
-1
Let n = 811451 + -2434352/3. What is g in -n*g**2 - 1/3*g + 0 = 0?
-1, 0
Suppose 5*g + 28*k = 25*k + 3171, 0 = -5*g + 4*k + 3192. Let b = g + -633. Determine x, given that -27/2*x**4 + 45/2*x**3 + 33/2*x**2 - 33/2*x + b = 0.
-1, 1/3, 2
Let x be 18/(-2)*(-2)/(-28)*44/(-33). Determine n, given that 2/7*n**3 - x*n**2 + 8/7 + 0*n = 0.
-1, 2
Factor -16360*u + 372*u**2 - 377*u**2 - 17276000 + 3893520.
-5*(u + 1636)**2
Suppose -20*x = -15077 - 69083. Let i = x - 42047/10. Let -8/5 - i*z**2 - 1/10*z**4 + z**3 + 4*z = 0. What is z?
1, 4
Let j(l) be the first derivative of -2*l**5/85 + 2*l**4/17 + 44*l**3/51 - 4*l**2/17 - 42*l/17 - 1590. Find o, given that j(o) = 0.
-3, -1, 1, 7
Let l be (-1)/10*-158 - (20 - 24). Let u = -19 + l. Suppose 0*w**2 + 0 + 4/5*w**3 - u*w = 0. Calculate w.
-1, 0, 1
Let d(q) = q**2 - 5*q + 6. Let f be d(4). Let -4 + 6*k**f - 8*k**2 - 8 - 14*k = 0. Calculate k.
-6, -1
Let t(g) be the third derivative of 0*g**3 + 1/36*g**4 - 1/60*g**6 - 2*g**2 + 22 + 1/180*g**5 - 1/504*g**8 - 1/90*g**7 + 0*g. Suppose t(z) = 0. Calculate z.
-2, -1, 0, 1/2
Suppose 0 = -i + 3*j + 15, 0 = -i - 2*j - 22 + 12. Let q be 5/15*(-1 - -2). Factor q*v + 2/3*v**2 + i.
v*(2*v + 1)/3
Determine u so that 8/19*u**3 - 26/19*u**2 + 6/19*u**4 + 12/19*u + 0 = 0.
-3, 0, 2/3, 1
Let q be (-8)/(-12) + (-22)/(-3) - 2. Suppose q*b + 8 = 2. Let u(k) = -k**2 - k + 1. Let z(y) = 3*y**2 + 9*y + 2. Let o(x) = b*z(x) - 4*u(x). Factor o(t).
(t - 6)*(t + 1)
Let d(q) = 37*q**2 + q - 2. Let j be d(1). Solve -14*l**3 + j*l**3 + 21*l + 26*l**2 - 33*l + 16*l = 0 for l.
-1, -2/11, 0
Let r be 6/12 - 57/(-6). Suppose 16*m = 11*m + r. Factor -23*x - 2*x**2 - x - 4*x**m - 9 - 9*x**2.
-3*(x + 1)*(5*x + 3)
Suppose 38*x - 15*x = 253. Factor -a**3 + 5*a**3 + 5*a**4 + 8*a**4 - 12*a**4 + 0*a**3 - x*a**2 + 6*a.
a*(a - 1)**2*(a + 6)
Let q(t) be the first derivative of -3*t**4/16 + 13*t**3/4 - 165*t**2/8 + 225*t/4 - 15143. Let q(v) = 0. What is v?
3, 5
Find c such that -5/2*c**5 + 10*c**3 - 25/4*c**4 + 85/4*c**2 + 15/2*c + 0 = 0.
-3, -1, -1/2, 0, 2
Let u(g) be the second derivative of 1/35*g**6 + 0*g**3 - 25*g + 0*g**4 + 1 - 1/35*g**5 - 1/147*g**7 + 0*g**2. Let u(i) = 0. What is i?
0, 1, 2
Let d(z) be the first derivative of -z**4/32 + 11*z**3/12 + 51*z**2/16 - 9*z + 584. Let d(y) = 0. Calculate y.
-3, 1, 24
Let z(i) be the third derivative of -3/140*i**7 + 1/240*i**6 + 0*i + 122*i**2 - 1/672*i**8 + 3/40*i**5 + 0*i**4 + 0*i**3 + 0. What is k in z(k) = 0?
-9, -1, 0, 1
Let u(b) be the second derivative of -b**6/60 - 7*b**5/20 + 5*b**4/2 + 79*b**3/6 + 85*b**2/4 - 891*b. Factor u(p).
-(p - 5)*(p + 1)**2*(p + 17)/2
Let o(n) be the second derivative of -n**6/50 - 3*n**5/20 + 2*n**3 + 24*n**2/5 + 2389*n. Let o(x) = 0. Calculate x.
-4, -2, -1, 2
Solve -214/9*m**2 + 100/9 - 8/9*m**3 - 346/9*m = 0 for m.
-25, -2, 1/4
Let v = -97730 - -97734. Let 0 - 8/11*r**2 - 8/11*r + 2/11*r**v + 2/11*r**3 = 0. Calculate r.
-2, -1, 0, 2
Let k be 9/(108/17202) + -1. Let v = 1435 - k. Factor 25/4*o + 1/4*o**5 - v*o**4 - 3/2 + 15/2*o**3 - 10*o**2.
(o - 6)*(o - 1)**4/4
Suppose 15 + 17 = 8*s. Factor -10*t**3 + 38*t - 5*t**2 - 28*t + 3*t**4 + 3*t**s - t**4.
5*t*(t - 2)*(t - 1)*(t + 1)
Suppose 74 + 786 = -1880*s + 2095*s. Let 20/7 - 62/7*g + 66/7*g**2 + 2/7*g**s - 26/7*g**3 = 0. What is g?
1, 10
Let o(z) = -2*z**3 - 613*z**2 - 61157*z - 2060588. Let w(r) = -r**3 - 307*r**2 - 30575*r - 1030293. Let s(j) = -4*o(j) + 7*w(j). Factor s(f).
(f + 101)**3
Let p(c) = 5*c**3 - 2*c**2 - 3*c. Let z = 73 + -68. Let a(s) = -10*s**3 + 5*s**2 + 5*s. Suppose -4 = -5*w + 3*w. Let r(y) = w*a(y) + z*p(y). Factor r(g).
5*g*(g - 1)*(g + 1)
Let n be 2/(-6) - (-144)/27. Suppose -3*j + n*y - 7 = 9, 4*y - 32 = -4*j. Factor 20*g**2 - 11*g**j + 8*g**3 - 20*g**2 + 3*g.
-3*g*(g - 1)*(g + 1)
Solve -17/7*r**2 + 3/7*r + 0 + 5/7*r**4 + 9/7*r**3 = 0 for r.
-3, 0, 1/5, 1
Suppose -4*q = o, -31 + 18 = -2*o + 5*q. Suppose 3*z + 6 = o*u, z + 8 = -4*u - 3*z. Let 4/5*d**2 + 0*d + 2/5*d**3 + u - 2/5*d**4 = 0. Calculate d.
-1, 0, 2
Let u(a) = -199*a**2 + 606*a - 611. Let y(p) = 33*p**2 + 2*p - 1. Let j(m) = -u(m) - 6*y(m). Solve j(s) = 0 for s.
1, 617
Let r(w) be the second derivative of w**7/126 - 7*w**5/60 - w**4/6 + 72*w + 44. Determine z so that r(z) = 0.
-2, -1, 0, 3
Suppose -5*c**2 + 800 + 201*c - 6*c + 322 + 188 + 300 = 0. Calculate c.
-7, 46
Determine m, given that 2/7*m**3 - 852/7*m**2 + 12840*m + 183184/7 = 0.
-2, 214
Let b(r) be the second derivative of r**7/840 - 13*r**6/480 + r**5/15 + 2*r**4 - 61*r**2/2 - 43*r - 1. Let j(i) be the first derivative of b(i). Factor j(z).
z*(z - 8)**2*(z + 3)/4
Suppose 3*k - 19 = -h, 0 = 3*k - 0*k - h - 29. Let q be -2 + k - (-3 - -9). Factor -6/7*w**3 + 6/7*w + q - 2/7*w**4 + 2/7*w**2.
-2*w*(w - 1)*(w + 1)*(w + 3)/7
Let x(a) = 8*a**3 - 18*a**2 + 3*a. Let b(g) = -6*g**2 - 6*g**2 + 7*g**3 + 11*g - 8*g - 4*g**2. Let f(s) = 7*b(s) - 6*x(s). Factor f(n).
n*(n - 3)*(n - 1)
Let f(w) = 90*w + 453. Let d be (-13 + 11 + -8)/2. Let t be f(d). Factor 6/5*s - 4/5*s**2 - 2/5*s**t + 0.
-2*s*(s - 1)*(s + 3)/5
Let y(f) be the third derivative of -1/1848*f**8 + 0*f**3 + 0 - 1/220*f**6 - 1/385*f**7 + 0*f**4 + 2*f - 1/330*f**5 - 18*f**2. Factor y(w).
-2*w**2*(w + 1)**3/11
Let a be (7 + -8 - -10)*(-52)/(-234). Let 2*f**3 + 84/5*f**a + 28/5 + 102/5*f = 0. What is f?
-7, -1, -2/5
Let l(n) = n + 42. Let v be l(-15). Suppose -4*d = 5*d - v. Factor -4*m**2 + 18 - 54 - 12*m + d*m**2.
-(m + 6)**2
Let o(l) be the third derivative of 0*l - 1083*l**3 - 96 + 19/2*l**4 - 2*l**2 - 1/30*l**5. Find b such that o(b) = 0.
57
Let w(y) = -159*y**2 + 230*y - 41. Let o(m) = 1270*m**2 - 1845*m + 325. Let c(t) = -3*o(t) - 25*w(t). Let c(n) = 0. Calculate n.
10/33, 1
Let d be 21/10 - ((-1596)/(-280))/57. Let r(s) be the second derivative of 0 - 29*s + 2*s**d + 1/80*s**5 - 7/48*s**4 + 1/3*s**3. Factor r(p).
(p - 4)**2*(p + 1)/4
Let t be ((-36)/(-39))/(-6) + (-5500)/(-2288). Let x(l) be the second derivative of 0 - t*l**2 - 1/4*l**3 + 11*l - 1/40*l**5 + 5/24*l**4. Factor x(m).
-(m - 3)**2*(m + 1)/2
Let t(z) be the first derivative of -15*z**2 + 1/2*z**4 + 78 + 200*z - 4*z**3. Solve t(o) = 0 for o.
-4, 5
Let n = 16287 + -16282. Let p(s) be the second derivative of -9/4*s**4 - 1/10*s**6 + 0 + 2*s**3 - 41*s + 9/10*s**n + 0*s**2. Factor p(c).
-3*c*(c - 4)*(c - 1)**2
Let b(x) = 4*x**3 + 116*x**2 + 3931*x + 32448. Let y(i) = i**3 - 7*i. Let n(r) = b(r) - 3*y(r). Factor n(d).
(d + 12)*(d + 52)**2
Let d(t) = 392*t + 2775. Let j be d(-7). Let q(g) be the second derivative of -j*g + 1/10*g**3 + 1/20*g**4 - 9/5*g**2 + 0. Let q(y) = 0. Calculate y.
-3, 2
Let g = -15136/5 + 15148/5. Solve 4/5*s**3 - 4*s + 4/5*s**2 + g = 0.
-3, 1
Let b = -86 + 86. Suppose b*l + 2*c - 12 = -3*l, -4*l - 1 = -3*c. What is u in -4*u**3 + 0*u**l + 6*u**3 - u**2 - 5*u**2 = 0?
0, 3
Let n be (2/(-8))/((-146)/1752). Let j(h) be the second derivative of 0 - 1/20*h**5 + 2*h + 0*h**2 + 1/3*h**n + 1/12*h**4. Find d, given that j(d) = 0.
-1, 0, 2
Let q(k) be the second derivative of -5/2*k**2 - 5/3*k**4 - 111*k - 25/6*k**3 + 0. Find l, given that q(l) = 0.
-1, -1/4
Let 460*k - 4/7*k**3 + 292/7*k**2 + 8300/7 = 0. What is k?
-5, 83
Let a(f) be t