/4*l**5 + 1/4*l**3.
(l - 1)**2*(l + 2)**3/4
Let p be 22776/(-13286)*1/(-2)*3. Solve 0 - p*q**3 + 6/7*q + 6/7*q**5 + 3/7*q**2 + 3/7*q**4 = 0.
-2, -1/2, 0, 1
Let c = 413 + -412. Let b be (-4)/(-18) + 46/36 + c. Factor 0*k + 0 + 0*k**2 - b*k**5 - 5*k**4 - 5/2*k**3.
-5*k**3*(k + 1)**2/2
Let j(c) be the second derivative of -5*c**7/21 + 31*c**6/5 - 101*c**5/5 - 58*c**4/3 + 104*c**3 + 128*c**2 + 4552*c + 1. Solve j(o) = 0 for o.
-1, -2/5, 2, 16
Factor 45/4*a**2 + 1/4*a**3 + 0 - 47/2*a.
a*(a - 2)*(a + 47)/4
Let j = -526 + 528. Suppose -4*s + 3*q - 11 = -5*s, -4 = s - 2*q. Factor -j*k**2 + 0*k**s - 24 - 32*k - 31 - 73.
-2*(k + 8)**2
Let p be ((-570)/(-399))/(5/28). Let g be 171/38*p/66. Factor 0 - g*o**2 + 6/11*o**3 - 12/11*o.
6*o*(o - 2)*(o + 1)/11
Let b be 18/27*6/8. Let i = 38135/8474 + -1/4237. Factor -b*a**3 - i*a**2 - 12*a - 8.
-(a + 1)*(a + 4)**2/2
Suppose 495*f + 52 = 521*f. Let w(u) be the first derivative of 180*u - 30*u**f - 41 + 5/3*u**3. What is d in w(d) = 0?
6
Let a be ((-37842)/8109)/((-14)/4). Determine c so that -2/3*c**4 + 0*c - a*c**2 + 2*c**3 + 0 = 0.
0, 1, 2
Let w = 327418 + -6220940/19. Solve 2/19*y - 12/19 - w*y**4 + 14/19*y**2 - 2/19*y**3 = 0 for y.
-3, -1, 1, 2
Let j(h) be the first derivative of h**9/3024 - h**8/840 - h**7/280 + 11*h**3/3 - 5*h - 211. Let l(x) be the third derivative of j(x). Solve l(y) = 0 for y.
-1, 0, 3
Let -13222*i - 1733*i - 12572*i + 2240615 + 31377630 + 5*i**2 + 1597*i = 0. Calculate i.
2593
Determine h so that -2620*h + 9*h**2 + 9*h**2 + 563 - 28*h**2 - 3178 + 5*h**2 = 0.
-523, -1
Factor 15/8*h**2 - 3/8*h**3 + 27 + 117/4*h.
-3*(h - 12)*(h + 1)*(h + 6)/8
Let s = 648 + -533. Factor 106*a + 5*a**3 + s + 5*a**2 - 2*a**3 - 61 + 55*a**2 + 5*a.
3*(a + 1)**2*(a + 18)
Let v(o) be the second derivative of -o**5/180 + o**4/18 + 2*o**3/3 - 3*o**2/2 - o + 100. Let b(q) be the first derivative of v(q). Factor b(k).
-(k - 6)*(k + 2)/3
Let o(d) = -15*d + 77. Let r be o(5). Factor -7*y**4 + 3*y**4 - 18*y**3 - 6*y**3 - 24*y - 8*y - 48*y**r.
-4*y*(y + 2)**3
Let g be 23/506*33*3*10. Let m be (-6 - 76/(-12)) + g/(-216). Suppose -m*u**2 + 1/8*u + 1/4 = 0. What is u?
-1, 2
Let k(a) be the first derivative of -4*a**3/3 - 2344*a**2 + 4692*a - 8154. Factor k(t).
-4*(t - 1)*(t + 1173)
Let g(p) be the first derivative of p**7/105 - 3*p**6/20 - p**2/2 - 6*p + 68. Let m(x) be the second derivative of g(x). Suppose m(l) = 0. What is l?
0, 9
Let d(i) = 75561*i + 528929. Let t be d(-7). Suppose 2/3*k**3 - 6*k - 2/3*k**t + 6 = 0. What is k?
-3, 1, 3
Let m be ((-3)/(-10))/((-6)/(-56)). Let a(b) = 2120*b + 40282. Let t be a(-19). Suppose 12/5 - m*v + 2/5*v**t = 0. What is v?
1, 6
Let h = -58 - -60. Suppose h = 2*l - 2*o, -o - 13 = -l - 4*l. Solve -w**4 - 4*w + 2*w**4 - 3 + 4*w**l - 13*w**2 + 15*w**2 = 0.
-3, -1, 1
Let q(p) = -16*p - 35. Let m be q(-3). Find y, given that 56*y**3 - 1 + 4 + 4 - 72*y**2 - 44*y - 12*y**5 + m + 52*y**4 = 0.
-1, 1/3, 1, 5
Let h(o) be the first derivative of o**5/12 - 125*o**4/24 + 153*o**2 - 176. Let x(g) be the second derivative of h(g). What is p in x(p) = 0?
0, 25
Let w = -95454/5 + 19092. Suppose 0 + w*s - 4/5*s**2 = 0. What is s?
0, 3/2
Let l = -1210/17 + -5057/51. Let g = l + 174. What is d in 19/3*d**3 + 0 + 1/3*d**5 + 0*d - 3*d**2 - g*d**4 = 0?
0, 1, 9
Suppose 85 = 8*m + 205. Let y be ((-25)/m)/(25/20). Determine h so that y*h + 2/3 + 1/6*h**2 - 7/6*h**3 - 1/6*h**5 - 5/6*h**4 = 0.
-2, -1, 1
Let n be 1554/360*(-92)/(-154). Let o = n - 45/22. Factor 2/15*y**2 - 2/15*y**3 + 8/15*y - o.
-2*(y - 2)*(y - 1)*(y + 2)/15
Let b(i) be the second derivative of -i**4/24 + 184*i**3/3 - 33856*i**2 + 10150*i. Suppose b(u) = 0. Calculate u.
368
Suppose 3*v - f - 32 = -20, -21 = -3*v + 4*f. Factor -552 + 12*s**v + 16*s**2 + 552 - 4*s**4.
-4*s**2*(s - 4)*(s + 1)
Let l be (429 - 423)*(-8)/(-12). Solve 0 - 2/5*q**l + 14/5*q**3 - 28/5*q**2 + 16/5*q = 0 for q.
0, 1, 2, 4
Suppose 30 = -3*f - 2*j - 2*j, -4*f + 2*j - 18 = 0. Let p be (-16)/f*(-7)/154*-18. Factor -112/11*i + 50/11*i**3 + p + 10*i**2.
2*(i + 3)*(5*i - 2)**2/11
Let u(p) be the third derivative of p**6/30 + 212*p**5/15 + 5618*p**4/3 - 2*p**2 - 1416. Determine s so that u(s) = 0.
-106, 0
Factor -194/13*w**2 - 2/13*w**4 - 128/13 - 36/13*w**3 - 288/13*w.
-2*(w + 1)**2*(w + 8)**2/13
Determine p, given that -7465*p**3 + 22*p**4 + 5*p**4 + 134*p - 102*p**2 + 75 + 61*p + 7027*p**3 + 243*p**5 = 0.
-1, -5/9, 1
Factor -4*f**2 + 46*f + 45*f - 6*f - 572 + 11*f.
-4*(f - 13)*(f - 11)
Let k(y) be the second derivative of y**6/45 - 3*y**5/5 + 58*y**4/9 - 104*y**3/3 + 96*y**2 + 11954*y. Let k(g) = 0. What is g?
2, 4, 6
Let u(q) be the third derivative of q**6/280 - 139*q**5/140 - 123*q**4/8 - 1305*q**3/14 + q**2 - 8. Factor u(y).
3*(y - 145)*(y + 3)**2/7
Let o(g) be the first derivative of -2*g**3/27 - 496*g**2/3 - 2974*g/9 - 6396. Solve o(j) = 0.
-1487, -1
Let x(f) be the second derivative of -4*f**7/21 - 37*f**6/15 - 69*f**5/10 - 43*f**4/6 - 7*f**3/3 - 9*f - 81. Determine a so that x(a) = 0.
-7, -1, -1/4, 0
Let b(y) = y**4 + y**2 + 2*y. Let g(c) = -24*c**4 - 42*c**3 - 51*c**2 + 42*c + 96. Let n(t) = 15*b(t) + g(t). Factor n(f).
-3*(f + 2)**3*(3*f - 4)
Let t = 26/15 + -2/5. Let m be (5/(-50))/(975/(-71500)). Factor -10/3 - m*c - t*c**2.
-2*(c + 5)*(2*c + 1)/3
What is u in 14/9*u**2 + 2*u**3 + 0 - 4/3*u - 14/9*u**4 - 2/3*u**5 = 0?
-3, -1, 0, 2/3, 1
Let k = 6342 - 6342. Let q(x) be the third derivative of 1/660*x**6 + k*x**3 + 1/132*x**4 + 0 + 0*x + 1/165*x**5 + 17*x**2. Factor q(g).
2*g*(g + 1)**2/11
Let y be (1 - (-15)/6) + 3/(-6). Suppose 3*h**2 - 7*h**3 + 10*h**y - 28*h - 5*h**3 - 21*h**2 + 0*h**3 = 0. Calculate h.
-7, -2, 0
Let a = 656188 + -1312351/2. What is s in -3 - a*s + 0*s**2 + 15/2*s**3 - 2*s**4 = 0?
-1, -1/4, 2, 3
Let p = -913644/5 - -182729. Let 0*m - p*m**2 + 2/5*m**3 - 1/5*m**4 + 0 = 0. What is m?
0, 1
Find u such that 24*u**3 - 7*u**3 + 4342*u**2 + 40284*u + u**4 + 64152 + 28*u**3 + 5*u**3 + 71*u**3 = 0.
-54, -11, -2
Let r(c) be the third derivative of 63*c**5/10 + 185*c**4/6 - 16*c**3/3 + c**2 - 2*c + 437. Suppose r(v) = 0. What is v?
-2, 8/189
Let y = 1517409 + -4468706/3. Factor 68/3*b**3 - 578*b**2 - 1/3*b**4 - y + 19652/3*b.
-(b - 17)**4/3
What is h in 54056*h + 1/4*h**3 + 54289 - 931/4*h**2 = 0?
-1, 466
Let d = 41530/3 - 13843. Let o(z) be the first derivative of -z**2 - 2 + d*z**3 + z. Factor o(f).
(f - 1)**2
Let q(r) = 952*r + 146. Let s be q(-3). Let t = -2710 - s. Factor t + 1/5*j**5 - 1/5*j**3 + 2/5*j**2 + 0*j - 2/5*j**4.
j**2*(j - 2)*(j - 1)*(j + 1)/5
Solve 0 + 68/9*x**3 - 40/9*x**4 - 32/9*x**2 + 4/9*x**5 + 0*x = 0.
0, 1, 8
Solve -6*s - 6*s**2 + 13*s**2 - 22*s**2 - 25*s**2 - 9*s = 0 for s.
-3/8, 0
Let c(a) be the first derivative of a**4/84 - a**3/21 + 75*a - 24. Let r(n) be the first derivative of c(n). Factor r(f).
f*(f - 2)/7
Suppose 2*h = -h - 4*p + 1, 5*h = 3*p + 50. Factor -w**2 + h*w - 18 + 19*w - 10*w + 3*w**2.
2*(w - 1)*(w + 9)
Let m(i) be the third derivative of -i**5/30 - 7*i**4/12 + 44*i**3/3 - 6384*i**2. Factor m(w).
-2*(w - 4)*(w + 11)
Let z be -2 + ((-16)/6)/(-1). Let g be 7 - ((-107 - -105)/((-12)/(-10)) - -8). Suppose 0*x - z*x**2 - g*x**4 + 4/3*x**3 + 0 = 0. Calculate x.
0, 1
Let x(z) = -20*z**2 - 604*z + 3584. Let g(l) = -4*l**2 - 121*l + 717. Let a(r) = -16*g(r) + 3*x(r). What is d in a(d) = 0?
-36, 5
Let o = 82 + -80. Let y(v) = -1 + 2 + 3*v**2 + 0*v**3 - v**3 - 2*v**o + v. Let g(i) = 8*i**3 + 4*i**2 + 2*i - 6. Let m(b) = -g(b) - 6*y(b). Factor m(r).
-2*r*(r + 1)*(r + 4)
Let d be 165/(-22)*(-12)/10. Let -840*b - b**3 - 13529 + 14429 - 50*b**2 - d*b**2 = 0. Calculate b.
-30, 1
Let a(o) be the second derivative of -235/8*o**5 + 46255/24*o**3 + 0 - 24389/8*o**2 - 246*o - 9715/24*o**4 - 17/24*o**6 - 1/168*o**7. Factor a(u).
-(u - 1)**2*(u + 29)**3/4
Let y = -291198767/1437051 - 2/130641. Let z = y - -203. Factor 0*p + 2/11*p**4 + 0*p**3 + 2/11 - z*p**2.
2*(p - 1)**2*(p + 1)**2/11
Factor 0 - 4*b + 1/6*b**4 + 4*b**3 - 1/6*b**2.
b*(b - 1)*(b + 1)*(b + 24)/6
Suppose -42328 - 21626 + 1266 = -1942*i - 10254. Let 972*q - i*q**2 + 1/4*q**3 - 11664 = 0. What is q?
36
Let n = 13/17544 + 1369/2193. Find x, given that 1/8*x**4 + 1/8*x**3 + 0 - n*x**2 + 3/8*x = 0.
-3, 0, 1
Let h = 33 + -27. Suppose 10*o - h = 7*o. Factor -2*s**2 - 197*s - o +