50*v**5 + 0*v**2 + 5*v - 2. Let r(f) be the first derivative of y(f). Factor r(l).
2*l*(l - 3)**2/5
Let i = 79006/9 - 8778. Let b(t) be the first derivative of -i*t**2 - 11 - 2/27*t**3 - 8/9*t. Find h, given that b(h) = 0.
-2
Let m(s) = -2*s**2 + 5*s + 5. Let a(u) = u**2 - 3*u - 1. Let z(q) = -5*a(q) + m(q). Let d(n) = -4*n**2 + 10*n + 6. Let j(o) = -5*d(o) + 3*z(o). Factor j(p).
-p*(p - 10)
Let y(h) = -2*h**2 - 3539*h + 17748. Let s be y(5). Factor 16/5*q**2 + 0 + 32/5*q - 4/5*q**4 - 8/5*q**s.
-4*q*(q - 2)*(q + 2)**2/5
Suppose -236*l + 222 - 91 = -148 - 193. Factor -4/7*o**l + 52/7*o + 8.
-4*(o - 14)*(o + 1)/7
Let p(o) be the first derivative of -o**6/2160 - o**5/720 - 42*o**3 - 121. Let y(x) be the third derivative of p(x). Factor y(a).
-a*(a + 1)/6
Let 214*j**2 + 178*j + 86 + 6*j**3 - 45*j**2 - 44*j**2 - 27*j**2 = 0. Calculate j.
-43/3, -1
Determine m so that 0*m**2 + 0*m - 285*m**4 + 1/2*m**5 + 0 - 571/2*m**3 = 0.
-1, 0, 571
Let n(g) = 73*g**2 - 3581*g + 200. Let o be n(49). Let 4/5*x**2 - 12/5*x**o - 16/5*x**5 - 36/5*x + 8/5 + 52/5*x**3 = 0. What is x?
-2, -1, 1/4, 1
Find m, given that -3*m**4 - 2103*m + 12*m**2 - 2134*m + 12*m**3 - 3*m**5 + 4237*m = 0.
-2, -1, 0, 2
Suppose -18*k = 6*k - 144. Let l(t) be the third derivative of -5/24*t**4 + 0*t**5 + 18*t**2 + 1/24*t**k + 0*t**3 + 0*t + 0. Suppose l(g) = 0. What is g?
-1, 0, 1
Suppose -4*n + 8*n = 0. Let g be (-43563)/(-20106) - (-61)/(-30). Factor n*l + 0 - g*l**2.
-2*l**2/15
Let o(z) be the second derivative of -z**5/80 + 11*z**4/12 + 63*z**3/8 + 18*z**2 - 832*z. Factor o(q).
-(q - 48)*(q + 1)*(q + 3)/4
Let q(p) = -48*p**3 - 158*p**2 + 38*p + 576. Let s(m) = 17*m**3 + 53*m**2 - 13*m - 192. Let f(g) = 5*q(g) + 14*s(g). Determine c, given that f(c) = 0.
-24, -2, 2
Find u such that -944*u**2 + 10*u**3 - 221 + 2*u**3 + 1252*u - 22*u**3 - 59 - 18*u**3 = 0.
-35, 2/7, 1
Let p(c) be the second derivative of -c**5/90 - 7*c**4/27 - 7*c**3/9 + 4*c**2 + 3564*c. Let p(l) = 0. Calculate l.
-12, -3, 1
Let t(f) = -14*f**4 + 4143*f**3 + 1465786*f**2 - 17*f - 34. Let a(l) = 5*l**4 - 1380*l**3 - 488595*l**2 + 6*l + 12. Let s(v) = -17*a(v) - 6*t(v). Factor s(i).
-i**2*(i + 699)**2
Let h(x) be the first derivative of -x**6/45 + 18*x**5 - 337*x**4/15 - 5114. Let h(w) = 0. What is w?
0, 1, 674
Factor -16/7*v**3 + 0 + 36/7*v - 20*v**2.
-4*v*(v + 9)*(4*v - 1)/7
Let j be 2*1/((-4)/(-8)). Suppose -2*l - j = -8. Factor 5*b**4 + 3*b**2 + b**2 + 8*b**3 - 8*b**l.
b**2*(b + 2)*(5*b - 2)
Factor -14*d**2 + 10*d**2 + 2335 - 607 - 528*d + 112*d.
-4*(d - 4)*(d + 108)
Let m(r) be the first derivative of r**6/3 + 2*r**5/5 - 57*r**4/2 - 506*r**3/3 - 376*r**2 - 360*r - 5663. Find g, given that m(g) = 0.
-5, -2, -1, 9
Suppose 3*n + 41 = 74. Factor -n + 13 + k**3 - 28*k + 4*k**2 + 30.
(k - 2)**2*(k + 8)
Let c = -4498 + 4510. Let v(g) be the first derivative of -g + 7/9*g**3 - 2/3*g**2 - c. What is z in v(z) = 0?
-3/7, 1
Let f(a) = -a**5 - a**4 + a**2. Let x = 434 + -435. Let y(i) = -31*i**4 + 326*i**3 - 1511*i**2 + 2673*i - 1458. Let o(z) = x*f(z) + y(z). Factor o(c).
(c - 9)**3*(c - 2)*(c - 1)
Let a be ((-7)/(-24 + -4))/((-147)/(-392)). Let l(t) be the second derivative of 1 - a*t**4 + 6*t**2 + 1/10*t**5 + 5*t + 1/3*t**3. Find u, given that l(u) = 0.
-1, 2, 3
Let f = 105808 - 211615/2. What is y in -33/4*y**4 - 9/4*y**5 + f*y**3 - 6*y + 13*y**2 + 0 = 0?
-3, -2, 0, 2/3
Factor -2*y**2 + 267 - y**2 + 260*y - 23*y + 27*y.
-3*(y - 89)*(y + 1)
Let k = -1975 - -1975. Let o(l) be the second derivative of -1/70*l**5 + 0 - 16*l + 0*l**3 - 1/42*l**4 + k*l**2. Find t such that o(t) = 0.
-1, 0
Let s be (-8)/(-9) - (41 - 11563/279). Determine t, given that 1/3*t**2 + 0 - 2*t + s*t**3 + 1/3*t**4 = 0.
-3, -2, 0, 1
Factor 5/3*t**3 + 13075*t**2 + 34191125*t + 89409791875/3.
5*(t + 2615)**3/3
Let i(d) = -5*d**4 + 71*d**3 - 146*d**2 - 4*d + 8. Let b(w) = -w**4 - w**3 - w + 2. Let x(j) = -4*b(j) + i(j). Determine h so that x(h) = 0.
0, 2, 73
Suppose 2*i = -411 - 1941. Let x be (18/(-28))/(i/686). Determine b, given that 0*b - 3/8 + x*b**2 = 0.
-1, 1
Let m(c) be the second derivative of -11/6*c**3 + 5/6*c**4 + 3/2*c**2 - 25*c + 2. Find v such that m(v) = 0.
1/2, 3/5
Let f(l) be the first derivative of l**6/30 - 3*l**5/8 + 11*l**4/8 + 8*l**3/3 + 3*l**2/2 - 50. Let m(h) be the third derivative of f(h). Factor m(g).
3*(g - 1)*(4*g - 11)
Let t(o) = 2*o**2 - 717*o + 48510. Let d be t(268). Factor -4/5*l**d - 1620 - 72*l.
-4*(l + 45)**2/5
Suppose 884 = -2*w - d, 23*d = -3*w + 19*d - 1316. Let y be 4 - -3*(w/135 - -2). Let 0 - 4/15*j + 2/5*j**3 - y*j**2 + 2/15*j**4 - 2/15*j**5 = 0. What is j?
-1, 0, 1, 2
Let r(o) be the second derivative of -13*o**7/112 - 119*o**6/80 + 207*o**5/80 + 71*o**4/8 + 5*o**3/2 - 5117*o + 1. What is h in r(h) = 0?
-10, -1, -2/13, 0, 2
Suppose -4*g + 1 = 1. Let k be (3 - (0 - g)) + -1. Let -5 + 12*f - f**k + 5*f - 11*f = 0. Calculate f.
1, 5
Let m(p) = -12 - 1358*p**2 - 17*p + 13*p + 1361*p**2. Let x be m(3). Factor 8/9*c - 4/9*c**2 - 2/9*c**x + 16/9.
-2*(c - 2)*(c + 2)**2/9
Suppose 0 = 24*d + 5 - 53. Suppose 120*g**d + 52*g - 167*g + 48*g**3 - 85*g - 61*g + 108 = 0. Calculate g.
-4, 3/4
Let w = 32138 - 32136. Find m, given that -m**3 + w*m**2 - 3/2 - 1/2*m**4 + m = 0.
-3, -1, 1
Let l = 1997 + -3985/2. Factor -3/2*y**3 + 3/2*y**4 - l*y**2 + 3/2*y + 3.
3*(y - 2)*(y - 1)*(y + 1)**2/2
Let b be (6/(-18))/((-1)/6). Find f, given that 2*f**3 - 260*f**b - 813 + 437*f**2 - 1887 + 2520*f + f**3 = 0.
-30, 1
Let j(f) be the third derivative of -1/90*f**5 + 0*f + 25/36*f**4 + 6*f**3 + 0 - 142*f**2. Factor j(y).
-2*(y - 27)*(y + 2)/3
Let w(g) be the second derivative of 4*g + 19/3*g**3 + 1/6*g**4 + 0*g**2 - 24. Factor w(r).
2*r*(r + 19)
Let i(a) be the second derivative of -144*a - 6*a**2 + 0 - 15/8*a**3 + 1/16*a**4. What is b in i(b) = 0?
-1, 16
Let l(j) = -j + 1. Let q(h) = 7*h - h**2 - 20 + 11*h - 36*h + 15*h. Let m(o) = -18*l(o) - 2*q(o). Let m(i) = 0. Calculate i.
-11, -1
Let u = -188 - -182. Let b be -2 - u/(-18)*-15. Factor -1/9*t**5 + 0*t**2 + 0*t**4 + 2/9*t**b - 1/9*t + 0.
-t*(t - 1)**2*(t + 1)**2/9
Let n = 35 - 36. Let i(v) = v**5 + v**4 - 2*v**3 + v**2 + 1. Let q(p) = -2*p**5 - 3*p**4 - 3*p**3 + p**2 + 12*p - 3. Let o(s) = n*q(s) - 3*i(s). Factor o(c).
-c*(c - 2)**2*(c + 1)*(c + 3)
Suppose -25*p + 108 + 117 = 0. Suppose -2*u = -5*f + 9, p*u - 12 = -2*f + 7*u. Determine h so that 14/5*h - 8/5 - 4/5*h**2 - 2/5*h**f = 0.
-4, 1
Let r(z) be the second derivative of z**5/50 + z**4/3 - 4*z**3/15 - 8*z**2 + 132*z + 2. Let r(b) = 0. What is b?
-10, -2, 2
Suppose -19*r = -14*r + 390. Let w = -50 - r. Factor 12*g**2 - w + 2*g**3 + 4*g - 6*g**3 + 16.
-4*(g - 3)*(g - 1)*(g + 1)
Suppose -17*f + 38 = -47. Factor -7*v**4 + 7*v**5 - 8*v**2 - 4*v**2 - 2*v**5 - 16*v**3 - f*v**5 - v**5.
-v**2*(v + 2)**2*(v + 3)
Suppose 372181*b = 372135*b + 92. Factor -12 + 3*s**b - 1/2*s**3 + 2*s.
-(s - 6)*(s - 2)*(s + 2)/2
Let z(l) = 2*l. Let s(k) be the first derivative of -125*k**3/3 - 77*k**2 - 45*k + 104. Let h(y) = s(y) + 2*z(y). Factor h(b).
-5*(5*b + 3)**2
Let c(m) be the first derivative of -m**4/30 - 28*m**3/45 - 16*m**2/15 + 64*m/5 - 9443. Factor c(a).
-2*(a - 2)*(a + 4)*(a + 12)/15
Suppose 7*q**4 + q**4 + 38*q**4 - 42*q**4 + 16*q**2 - 20 - 2*q**5 + 28*q**3 - 26*q = 0. What is q?
-2, -1, 1, 5
Suppose -3*g = -3 - 42. Let v = -132553/2 + 66278. Factor v*a**5 + 15/2*a**4 + 15*a**3 + 3/2 + 15/2*a + g*a**2.
3*(a + 1)**5/2
Let x(j) be the first derivative of -j**3/4 + 321*j**2/4 + 324*j + 670. Determine s so that x(s) = 0.
-2, 216
Let d be -170*((-3)/39)/(15*5/255). Factor -68/13*h + 2/13*h**2 + d.
2*(h - 17)**2/13
Let m be 1202/(-10217) + (-1)/(-2 + (-26)/4). Factor 0*r + 0 + m*r**3 + 2/3*r**4 + 0*r**2.
2*r**4/3
Let m be (18/24*2)/(45/20). Let d(n) be the first derivative of 2/3*n**2 + 33 + 2/3*n**3 - m*n. Factor d(r).
2*(r + 1)*(3*r - 1)/3
Factor -3/2*q**3 - 21*q**2 + 234 - 3/2*q.
-3*(q - 3)*(q + 4)*(q + 13)/2
Let u(h) be the first derivative of 5*h**3/3 - 25*h**2/2 - 70*h + 50. Factor u(k).
5*(k - 7)*(k + 2)
Let d(m) be the first derivative of -5*m**8/2688 + m**7/420 + m**6/960 + 5*m**2/2 + 3*m + 95. Let z(u) be the second derivative of d(u). Factor z(k).
-k**3*(k - 1)*(5*k + 1)/8
Let g(j) = -31*j**4 + 60*j**3 - 4*j**2 - 66*j + 29. Let x(k) = k**5 - k**3 + 