j**2*(j - 1)*(j + 2)
Let w(k) = -k**3 - 4*k**2 - 13*k - 18. Let h(b) = b**3 + 2*b**2 + 8*b + 16. Let p(u) = -4*h(u) - 3*w(u). Factor p(s).
-(s - 5)*(s - 1)*(s + 2)
Suppose 0 = 3*q + 2*q - 3*b - 5, -5*b = -q - 21. Suppose -4*w - 2*v + 118 = 0, q*w - 53 = -4*v + 75. Find f, given that -w + 4*f**2 + 7 + 32*f + 84 = 0.
-4
Let g be (8 - 7190/900)/((-4)/(-12)). Let o(n) be the third derivative of 0*n + 2*n**2 - 4/3*n**3 + 0*n**4 + 0 + g*n**5. Determine d so that o(d) = 0.
-2, 2
Let h be (-3)/(225/(-5090)) - (1 + 34/(-30)). Let n(b) = b**3 + 5*b**2 + 5*b + 6. Let x be n(-4). Let -h*o - 8*o**2 - 4 + 3*o**x + 56*o = 0. Calculate o.
-2, -2/5
Determine d so that 238/11*d**4 + 2/11*d**5 + 0*d - 482/11*d**3 + 22*d**2 + 0 = 0.
-121, 0, 1
Let x(l) be the third derivative of -60*l**2 + 0*l + 3/25*l**3 + 0 + 2/15*l**5 + 1/5*l**4. Factor x(h).
2*(10*h + 3)**2/25
Factor -2/13*g**2 - 18*g + 0.
-2*g*(g + 117)/13
Find b such that -390/7*b**3 - 384/7*b + 0 - 3/7*b**4 - 771/7*b**2 = 0.
-128, -1, 0
Let l(a) be the second derivative of -a**7/56 + 9*a**6/4 + 1701*a**5/80 + 215*a**4/4 + 48*a**3 + 2841*a + 2. Let l(s) = 0. What is s?
-4, -1, 0, 96
Let -78144*b + 200*b**4 - 512*b**3 - 40*b**2 - 712*b**4 + 78194*b = 0. Calculate b.
-5/8, 0, 1/4
Let l(u) be the third derivative of -4/21*u**4 + 0*u + 0 + 45*u**2 + 0*u**3 - 1/735*u**7 - 3/140*u**6 - 4/35*u**5. Solve l(y) = 0.
-4, -1, 0
Let d = 116933 - 1286095/11. Factor -34/11*r**2 + 160/11*r - d - 2/11*r**3.
-2*(r - 2)**2*(r + 21)/11
Suppose -2*v = -37 - 15. Factor -7*x + 36 - v*x**2 + x**3 - 5*x**2 + 15*x - 5 - 9*x.
(x - 31)*(x - 1)*(x + 1)
Let i = -570 + 598. Factor 24*l**2 - 5 + 3 + 1 + 1 + 4*l**3 - i*l.
4*l*(l - 1)*(l + 7)
Let x(v) be the third derivative of v**7/1785 + 41*v**6/340 + 1359*v**5/170 + 18113*v**4/204 + 6962*v**3/17 - 3*v**2 + v + 25. Determine s, given that x(s) = 0.
-59, -3, -2
Let g be (-867)/(-6) - (-24)/64*4. Let l = g + -437/3. Suppose -5/6*r**2 - l - 7/6*r = 0. Calculate r.
-1, -2/5
Let x = 6258/36283 + -52/2791. Solve -16/13 - x*d**2 + 18/13*d = 0 for d.
1, 8
Factor 1219*v**2 + 32*v - 161*v**2 - 107*v - 171*v - 214*v + 50.
2*(23*v - 5)**2
Let d(l) = -236*l. Let b be d(0). Let q(a) be the third derivative of -23*a**2 + 0*a + 0 + b*a**3 - 1/540*a**5 + 0*a**4. Determine m, given that q(m) = 0.
0
Let b be ((-33)/18)/(55*2/(-40)). Suppose b*y**4 + 2*y**3 - 2/3*y**2 + 0 - 2*y = 0. What is y?
-3, -1, 0, 1
Let w be (60/9)/(-4)*1629/(-905). Solve -3/10*i**5 + 1/5*i**2 - 1/10*i**4 + 3/5*i**w - 3/10*i - 1/10 = 0.
-1, -1/3, 1
Let c(k) be the third derivative of 0 + 0*k**3 - 5/6*k**4 + 0*k - 1/4*k**5 + 1/24*k**6 - 90*k**2. Factor c(f).
5*f*(f - 4)*(f + 1)
Let b(t) be the first derivative of 0*t - 51 + 1/5*t**3 - 39/10*t**2. Factor b(c).
3*c*(c - 13)/5
Let d(x) = -81*x**2 + 720*x + 1364. Let t(g) = -56*g**2 + 480*g + 909. Let i(v) = -11*d(v) + 16*t(v). Factor i(q).
-5*(q + 2)*(q + 46)
Suppose 18*h + 13*h + 9*h - 16*h = 0. Factor 1/3*g**4 + 3*g + h + g**2 - 5/3*g**3.
g*(g - 3)**2*(g + 1)/3
Let n(w) be the first derivative of -17*w**6/6 + 41*w**5 - 207*w**4 + 1136*w**3/3 - 32*w**2 + 4865. Factor n(h).
-h*(h - 4)**3*(17*h - 1)
Let a = 188 + -119. Let s = -518 + 520. Factor 10 - 17*q + 64*q**s - 2 + a*q + 20*q**3.
4*(q + 1)*(q + 2)*(5*q + 1)
Let f(g) be the first derivative of g**3 - 201*g**2/2 - 204*g + 1015. Factor f(l).
3*(l - 68)*(l + 1)
Let j(h) = -26*h**2 + 10580*h + 4678038. Let v(d) = 8*d**2 - 3527*d - 1559348. Let y(w) = 5*j(w) + 16*v(w). Factor y(q).
-2*(q + 883)**2
Let a(r) = 7*r**2 + 14*r + 41. Let l be a(-10). Factor -l*v**3 - 3*v**2 + 576*v**3 + 2*v**2 + 10*v + 6*v**2 + 10*v**4.
5*v*(v - 2)*(v - 1)*(2*v + 1)
Let f = 785 - 735. Determine v so that -180*v - f + 12 - 4*v + 4*v**2 - 115 - 35 = 0.
-1, 47
Suppose -247*z**4 - 69*z**3 - 30*z**2 + 70*z**3 + 248*z**4 = 0. What is z?
-6, 0, 5
Let b be ((-17)/((-119)/(-6)))/(255/(-238)). Let a(d) be the first derivative of 0*d - 1 - 6*d**2 - d**4 + b*d**5 - 20/3*d**3. Factor a(c).
4*c*(c - 3)*(c + 1)**2
Let h(w) = w**3 + w**2 - 3*w - 1. Let l be h(2). Solve 0*f**3 + l*f - 2*f**3 + 2*f**2 - 4*f + 7*f - 8 = 0 for f.
-2, 1, 2
Factor -14/11*b**2 - 22*b - 68/11.
-2*(b + 17)*(7*b + 2)/11
Let o be 16/(-6)*(-21)/14. Suppose -2 + 2*r**3 + 2 - 4*r - o*r**3 - 8 + 6*r + 8*r**2 = 0. What is r?
-1, 1, 4
Factor 29/3*f**2 + 1/3*f**3 + 104/3*f + 100/3.
(f + 2)**2*(f + 25)/3
Let a(h) be the first derivative of -h**4/10 - 14*h**3 + 108*h**2/5 + 424*h/5 - 520. Let a(d) = 0. What is d?
-106, -1, 2
Let l(o) = 21*o + 184. Let y be l(-10). Let g be (y/7 - -4)*(-4 + 6). Factor -32/7*p**3 + g*p**4 - 128/7*p + 96/7*p**2 + 64/7.
4*(p - 2)**4/7
Let f(o) be the third derivative of o**7/1155 + 661*o**6/330 + 146519*o**5/110 + 435599*o**4/33 + 1737124*o**3/33 + 6*o**2 - 620. Suppose f(z) = 0. What is z?
-659, -2
Factor 5*g**3 + 588 + 1135*g + 400*g**2 - 1221 - 907.
5*(g - 1)*(g + 4)*(g + 77)
Suppose -3*n - 44 = -y, 0*n - y - 52 = 3*n. Let g be 12/n + (3 - 54/(-24)). Solve 0 + 3*w + 18*w**4 - 51/2*w**3 + g*w**2 = 0.
-1/4, 0, 2/3, 1
Let s(y) be the second derivative of 0*y**2 - 1/6*y**4 - 3 - 2/5*y**3 - 24*y - 1/50*y**5. Let s(p) = 0. Calculate p.
-3, -2, 0
Factor -112/3*s**4 + 1/3*s**5 + 1368*s**3 - 46208/3*s**2 + 0 - 109744/3*s.
s*(s - 38)**3*(s + 2)/3
Let q(p) = p**3 + p + 1. Let n be 1/(-2)*12/6. Let g(f) = 3*f**3 - 12*f**2 - 3*f + 6. Let o(y) = n*g(y) + 6*q(y). Factor o(i).
3*i*(i + 1)*(i + 3)
Let g be 11*(-12)/10*325/(-26). Let r be g/21 - 6 - (-4)/(-4). Suppose 24/7*k**2 - r*k**3 + 9/7 - 26/7*k - 1/7*k**4 = 0. Calculate k.
-9, 1
Let j(m) be the third derivative of -m**8/1008 - 2*m**7/315 - m**6/180 + m**5/45 + m**4/24 + 2984*m**2. Let j(i) = 0. Calculate i.
-3, -1, 0, 1
Let t(u) be the third derivative of -u**5/6 - 637*u**4/12 - 254*u**3/3 + 1502*u**2. Factor t(k).
-2*(k + 127)*(5*k + 2)
Let w be 7903/(-190801)*104/(-28). Let -80/13*g - 2*g**2 - w*g**3 - 72/13 = 0. What is g?
-9, -2
Let o = 5403/164 - 26523/820. Factor o*c**2 + 6912/5 + 288/5*c.
3*(c + 48)**2/5
Let i(m) be the second derivative of -2*m**7/21 + 74*m**6/105 - 59*m**5/35 + 5*m**4/3 - 4*m**3/7 - 273*m. Find x such that i(x) = 0.
0, 2/7, 1, 3
Let o = -69 + 93. Suppose -15*b = -7*b - o. Solve 28/3*k + 25/3*k**b - 38/3*k**2 - 8/3 + 1/3*k**5 - 8/3*k**4 = 0 for k.
1, 2
What is y in 405 - 546*y**2 + 24*y - 755*y**4 + 896*y**4 + 258*y**3 + 3*y**5 - 285*y = 0?
-45, -3, -1, 1
Determine k, given that 11192*k**2 - 11531*k**2 + 6*k**3 - 9*k**3 = 0.
-113, 0
Let s(p) = 2*p - 6. Let i be s(4). Suppose h + 5*w + 10 = 68, -3*h + 123 = -i*w. Let -51*o**2 - h*o**2 + 9*o + 30 + 138*o**2 - 47*o**2 = 0. What is o?
-2, 5
Let y be 27054/(-38076)*16/(-18). Factor -8/19 - 18/19*p - 2/19*p**3 - y*p**2.
-2*(p + 1)**2*(p + 4)/19
Let m = -11846 + 11848. Suppose -4*g + 32 = 12. Factor 1 + 25/4*w**m + g*w.
(5*w + 2)**2/4
Let a be ((-6)/4)/((147/(-28))/(-7)*-72). Let o(p) be the second derivative of 0*p**2 + 0 - 1/36*p**4 + a*p**3 - 15*p. Let o(z) = 0. Calculate z.
0, 1/2
Let v(t) be the third derivative of 0 - 1/40*t**5 + 0*t - t**3 - 60*t**2 - 1/4*t**4. Solve v(s) = 0.
-2
Suppose -7*x = 5*x - 24. Factor 54*b - 105*b + 51*b - 2*b**x + 8.
-2*(b - 2)*(b + 2)
Suppose -80/9*t - 728/9 - 2/9*t**2 = 0. Calculate t.
-26, -14
Let t(k) be the third derivative of -5*k**8/2016 + k**7/9 + 17*k**6/72 - 37*k**5/18 + 145*k**4/48 - 181*k**2 - 17. What is c in t(c) = 0?
-3, 0, 1, 29
Let o(y) = -12*y**2 + 3913*y - 3847. Let m(g) = -g**2 + 301*g - 296. Let a(q) = -54*m(q) + 4*o(q). What is t in a(t) = 0?
1, 298/3
Let l(d) = 2*d**2 + 9*d - 23. Let i be l(-6). Let x be i + -2 - 49/(-7). Solve -6/7*t**2 + 0*t**3 + x + 2/7*t**4 + 4/7*t = 0 for t.
-2, 0, 1
Let c be 8/(-10*(-13)/130). Let o(a) be the first derivative of -10/3*a**3 + 16*a**2 - 7/2*a**4 + 10 - c*a. Factor o(u).
-2*(u - 1)*(u + 2)*(7*u - 2)
Let v(i) = -i**2 + 2. Let j(b) = -2*b**3 - 1372*b**2 + 8. Let h(p) = -j(p) + 4*v(p). Factor h(u).
2*u**2*(u + 684)
Let m be 3838/(-3690) - 14/287. Let g = m + 53/9. Let 14/5*k**2 + 32/5*k + 2/5*k**3 + g = 0. Calculate k.
-3, -2
Suppose 3*u - f - 20 + 7 = 0, -4*f = -u + 8. Solve -111*d**3 - 16*d**2 + 75*d**3 + 0*d**5 - 4*d**5 - 24*d**u = 0.
-4, -1, 0
Suppose -13273*j = -13266*j - 21. Let c(k) be the second derivative of 5/8*k**2 - 1/2*k**j + 1/12*k**4 - k + 0. Factor c(x).
(2*x - 5)