8/15*l**5 + 0*l**3. Let x(u) = 0. What is u?
-2/5, 1, 2
Let m(s) be the first derivative of 2*s**3/45 + 151*s**2/15 + 20*s - 2089. Factor m(n).
2*(n + 1)*(n + 150)/15
Let g(m) be the first derivative of -2*m**5/15 + 293*m**4/12 + 443*m**3/9 + 74*m**2/3 + 2174. Find n, given that g(n) = 0.
-1, -1/2, 0, 148
Suppose -4/7 - 22/7*t**2 + 30/7*t**3 + 18/7*t**4 - 22/7*t = 0. Calculate t.
-2, -1/3, 1
Factor -2/3*s**2 + 240*s - 718/3.
-2*(s - 359)*(s - 1)/3
Let q(x) be the third derivative of 0 - 35*x**2 - 7/15*x**6 - 49/15*x**5 - 17/3*x**4 - 3*x + 0*x**3 + 2/105*x**7. Factor q(a).
4*a*(a - 17)*(a + 1)*(a + 2)
Suppose 36 = 579*t - 561*t. Let v(x) be the second derivative of -1/40*x**6 + 0 + 0*x**5 + 0*x**t + 8*x - 1/4*x**3 + 3/16*x**4. Find g such that v(g) = 0.
-2, 0, 1
Let k be ((-10)/(-4))/5*32. Find f such that 8*f**5 + 14*f**5 + 7*f**5 + k*f**5 - 9*f**3 + 3*f**2 + 9*f**4 - 48*f**5 = 0.
0, 1
Suppose -2*m + 3*a + 5 = -13, -m - 2*a + 2 = 0. Suppose -2*q + m = k - 0, -k = -3*q - 1. Solve -q - 3/2*z - 1/2*z**2 = 0.
-2, -1
Let p = -4/1195 + 733/4780. Let j(c) be the second derivative of 27/2*c**2 + 0 - p*c**5 - 15/2*c**3 + 7/4*c**4 - 20*c. Factor j(b).
-3*(b - 3)**2*(b - 1)
Let v(w) be the third derivative of w**5/100 + 87*w**4/40 + 2074*w**2. Factor v(r).
3*r*(r + 87)/5
Let d(z) be the first derivative of 4*z**3 - 26*z**2 + 3/4*z**4 - 1/5*z**5 + 48*z - 19. Factor d(p).
-(p - 3)*(p - 2)**2*(p + 4)
Let o(k) be the first derivative of k**5/45 - k**4/9 - 2*k**3/3 + 6*k**2 + 2*k - 22. Let v(g) be the first derivative of o(g). Factor v(m).
4*(m - 3)**2*(m + 3)/9
Let h be -1*(-4)/6*(-18 + 540/24). Let v(a) be the second derivative of 24*a - 5/6*a**h - a**2 + 0 - 1/4*a**4. Determine q, given that v(q) = 0.
-1, -2/3
Let 237*b**4 - 125*b**5 - 3410*b - 4399*b**2 - 3917*b**3 + 800 - 3003*b**3 + 1613*b**4 + 14079*b**2 - 1470*b = 0. Calculate b.
2/5, 2, 10
Solve 147/5*c + 3/5*c**2 + 144/5 = 0 for c.
-48, -1
Let h(o) be the third derivative of -o**7/420 + o**6/240 + 23*o**5/20 - 2*o**4/3 - 1120*o**3/3 + 26*o**2 - 4*o - 12. Determine u, given that h(u) = 0.
-8, 7, 10
Find g, given that 0*g + 226576*g**2 + 1/4*g**4 + 0 - 476*g**3 = 0.
0, 952
Let b(y) be the second derivative of -y**7/84 - 391*y**6/20 - 458643*y**5/40 - 59776471*y**4/24 - 2*y - 871. Factor b(g).
-g**2*(g + 391)**3/2
Let o(c) = 11*c**2 + 524*c - 3412. Let m(x) = -45*x**2 - 2094*x + 13656. Let f(u) = -8*m(u) - 33*o(u). Factor f(t).
-3*(t - 6)*(t + 186)
Suppose 4*x - 6*x = -4*x + 18*x - 64. Let 2521/11*f**3 + 1/11*f**5 - 27000/11 - 21690/11*f**2 - 51300/11*f - 8*f**x = 0. Calculate f.
-1, 30
Let p(o) be the second derivative of -5*o**6/153 - o**5/51 - o**4/204 + 7*o**3/2 - 3*o**2/2 + o + 46. Let f(n) be the second derivative of p(n). Factor f(w).
-2*(10*w + 1)**2/17
Suppose -2*w + 2*r = -6, w - 5*r - 3 = -2*r. Solve 33 + 57*t**2 - 47*t**2 - 87*t - 113 + 4*t**w + 70*t**2 + 83*t = 0.
-20, -1, 1
Let g(x) be the first derivative of 17*x**5/80 - x**4/24 - 17*x**3/24 + x**2/4 + 62*x + 141. Let w(j) be the first derivative of g(j). Factor w(h).
(h - 1)*(h + 1)*(17*h - 2)/4
Suppose -j + 44 + 57 = 0. Suppose 86 = 2*x + 4*k, 2*k - 4 = 3*x - j. Factor t**2 - 66*t + x*t - 2 + 30*t.
(t - 2)*(t + 1)
Let a(y) be the first derivative of -200 + 3/5*y**5 - 12*y + 3*y**3 - 3*y**4 + 6*y**2. Find b, given that a(b) = 0.
-1, 1, 2
Solve -14*d**2 + 19403*d - 19028*d + 17*d**2 = 0.
-125, 0
Let j(l) = l**3 - 7*l**2 + l + 7. Let p be j(7). Let i be ((-6)/(-4))/(7/p). Factor 0*w**2 - 9*w**4 - 15*w**4 + 3*w**2 - 6*w**2 + 18*w**i.
-3*w**2*(2*w - 1)*(4*w - 1)
Let z(w) be the second derivative of w**5/90 - 28*w**4/27 + 784*w**3/27 + 702*w. Factor z(q).
2*q*(q - 28)**2/9
Let z(i) = 8*i**2 + 37*i + 19. Let g be z(-6). Let o be 17/g*10/6*90. Determine k, given that 3/8*k**5 + 45/8*k**4 - 96 + 0*k + 60*k**2 + o*k**3 = 0.
-4, 1
Let y(r) be the third derivative of -11/90*r**5 - r**2 + 25*r - 1/180*r**6 - 19/36*r**4 + 0 - r**3. Solve y(n) = 0 for n.
-9, -1
Let -7*r**2 - 40 - 1/4*r**4 + 51*r - 15/4*r**3 = 0. Calculate r.
-10, -8, 1, 2
Let w(v) be the first derivative of -v**6/10 + v**5/3 - v**4/3 - 17*v**2/2 - v - 87. Let j(n) be the second derivative of w(n). Factor j(o).
-4*o*(o - 1)*(3*o - 2)
Let h(f) = -2*f**2 + 26*f. Let i(q) = -2*q**2 + 2882*q + 5592. Let a(u) = -3*h(u) + i(u). Factor a(p).
4*(p + 2)*(p + 699)
Let b(l) = -9*l**4 - 15*l**3 + 39*l**2 - 9*l + 6. Let n(f) = f**4 - f**2 - f. Suppose 0 = -1354*y + 1356*y + 2. Let c(a) = y*b(a) - 12*n(a). Factor c(o).
-3*(o - 2)*(o - 1)**3
What is q in 13719/5*q**2 - 9/5*q**4 + 3138/5*q**3 + 4236/5 + 16932/5*q = 0?
-2, -1/3, 353
Let s = 42 - 29. Suppose -5*u + 5*y = -u - s, y = 5*u - 11. Let -l**u + 5 + 4 - 2*l - 7 + 1 = 0. Calculate l.
-3, 1
Suppose -5*g = 7*f - 39, -3*g - 10 = -5*g. Factor -l**f - 1235*l + 24336 + 1859*l + 5*l**2.
4*(l + 78)**2
Determine h so that 1770*h + 445*h**3 - 845*h**2 + 411*h + 249*h - 4635*h - 5*h**4 + 2610 = 0.
-2, 1, 3, 87
Let n(q) = -20*q**2 - 5012*q - 312512. Let w(m) = 8*m**2 + 2005*m + 125005. Let v(l) = 5*n(l) + 12*w(l). Suppose v(g) = 0. What is g?
-125
Let u(r) = -8*r**2 + 1870*r + 3772. Let x be u(-2). Solve 0*w + x + 3*w**3 - 15/4*w**4 + w**2 + w**5 = 0 for w.
-1/4, 0, 2
Let q(y) be the first derivative of 16/21*y**3 + 10/7*y**2 - 1/7*y**4 + 0*y + 52. Factor q(t).
-4*t*(t - 5)*(t + 1)/7
Let b(x) be the third derivative of -x**7/175 + x**6/15 - 3*x**5/10 + 2*x**4/3 - 4*x**3/5 - 1656*x**2. Find q such that b(q) = 0.
2/3, 1, 2, 3
Suppose -v - 51 = 5*n - 460, 3*v = 3*n - 249. Factor 122*q - n*q - q**2 + 200 + 3*q**2.
2*(q + 10)**2
Factor 0 + 4418/3*n + 2/3*n**3 + 188/3*n**2.
2*n*(n + 47)**2/3
Let v(h) be the first derivative of -3*h**5/5 - 3*h**4/4 + 18*h**3 + 78*h**2 + 120*h - 686. Factor v(y).
-3*(y - 5)*(y + 2)**3
Let v(r) be the second derivative of 2/3*r**3 + 1/6*r**6 + 0 + 157*r + 3/20*r**5 - r**4 + 0*r**2. Find q, given that v(q) = 0.
-2, 0, 2/5, 1
Let b(f) be the first derivative of f**5/5 + 33*f**4/4 + 83*f**3 - 493*f**2/2 - 1734*f + 5687. Find k such that b(k) = 0.
-17, -2, 3
What is z in -2/7*z**3 + 6/7*z**2 + 0*z - 8/7 = 0?
-1, 2
Determine i, given that 0 + 1/5*i**4 - 98/5*i**2 + 47/5*i**3 + 0*i = 0.
-49, 0, 2
Let k be (12/(-35))/((-2)/10*3). Let v(f) be the first derivative of -16/7*f + k*f**4 + 4/35*f**5 + 4/7*f**3 - 8/7*f**2 + 3. Factor v(t).
4*(t - 1)*(t + 1)*(t + 2)**2/7
Let o be (((-10)/4)/1)/(43/4730). Let y be (-15)/(-3)*(-3 + o/(-88)). Factor y*t**3 + 7/8*t + 9/8*t**2 + 1/4 + 1/8*t**4.
(t + 1)**3*(t + 2)/8
Let g = -3 - 2. Let n be 3/(-4)*(1 + g). What is x in 9*x**2 + 18*x - 30*x**2 + 17*x**4 - 18*x**3 + 7*x**4 - n = 0?
-1, 1/4, 1/2, 1
Suppose 2*l = -4*x, 4*l + x - 2*x - 18 = 0. Factor -20*f**3 + 0*f**3 + 5*f**l + 461*f**2 - 446*f**2.
5*f**2*(f - 3)*(f - 1)
Let j(c) be the first derivative of -c**6/30 - c**5/4 - c**4/12 + 7*c**3/2 + 9*c**2 + 72*c - 65. Let k(b) be the first derivative of j(b). Factor k(z).
-(z - 2)*(z + 1)*(z + 3)**2
Suppose -369*q + 382*q - 39 = 0. Let o(y) be the third derivative of 0*y**q - 7*y**2 + 0*y - 1/54*y**5 - 1/180*y**6 - 1/54*y**4 + 0. Find d such that o(d) = 0.
-1, -2/3, 0
Find n, given that -363*n**5 + 6*n**4 + n**3 + 360*n**5 - 54*n**2 + 26*n**3 = 0.
-3, 0, 2, 3
Let j(w) be the first derivative of w**6/6 - 5*w**4/2 + 20*w**3/3 - 15*w**2/2 + 61*w + 94. Let u(r) be the first derivative of j(r). Let u(g) = 0. What is g?
-3, 1
Let d(s) be the second derivative of -1/12*s**3 + 0*s**2 - 19 + 0*s**6 + 1/20*s**5 + 0*s**4 - 1/84*s**7 + s. Let d(q) = 0. What is q?
-1, 0, 1
Let n be (9/6*-1)/(3/(-40)). Let m be ((-16)/(-20))/(1*2/n). Determine a, given that 5*a**4 - m*a**3 - 2*a**3 - 151*a + 151*a + 5*a**2 = 0.
0, 1
Let v(f) = f**3 - 16*f**2 - 39*f - 90. Let a be v(18). Let d be 8/(a/(-15)) - 6/(-9). Factor -27/4*l**2 - d + 21/4*l + 15/4*l**3 - 3/4*l**4.
-3*(l - 2)*(l - 1)**3/4
Let m(h) = 23*h**2 - 418*h + 1613. Let d(l) = 145*l**2 - 2510*l + 9677. Let r(y) = 3*d(y) - 19*m(y). Factor r(j).
-2*(j - 202)*(j - 4)
Factor -544/3*r + 4/3 + 271/3*r**2.
(r - 2)*(271*r - 2)/3
Let x(f) be the second derivative of 0*f**3 - 35*f + 0 - 19/90*f**5 + 0*f**2 - 5/54*f**4 + 4/135*f**6. Solve x(n) = 0.
-1/4, 0, 5
Let v(h) = h**3 + 4*h**2 + 5*h + 4. Let t be v(-2). Factor -300*x + 90*x**t - 1000 - 248*x**3 + 123*x**3 + 120*x**3.
-5*(x -