se -12*b = -49 - 107. Suppose -15 = b*q - 41. Solve 51/5*h**q + 48/5*h**4 + 0 + 6/5*h + 24*h**3 = 0.
-2, -1/4, 0
Let o(c) be the second derivative of c**4 + 15*c - 16*c**3 + 0 - 1/40*c**5 + 128*c**2. Factor o(l).
-(l - 8)**3/2
Suppose 78*r + 30 = 72*r. Let q = -1 - r. Let 24/5*d**5 + 58/5*d**q + 8/5*d**3 + 4/5*d - 22/5*d**2 + 0 = 0. What is d?
-2, -1, 0, 1/4, 1/3
Let t(u) be the third derivative of -u**5/5 - 8*u**4/3 - 26*u**3/3 - 212*u**2. Determine s so that t(s) = 0.
-13/3, -1
Let v(j) be the third derivative of -j**8/2352 - j**7/735 + j**5/210 + j**4/168 + 38*j**2 + 1. What is s in v(s) = 0?
-1, 0, 1
Find t such that 0 + 0*t - 8/19*t**4 + 10/19*t**3 + 2/19*t**5 - 4/19*t**2 = 0.
0, 1, 2
Let u(b) be the first derivative of -b**6/27 - 2*b**5/3 + 11*b**4/6 - 34*b**3/27 - 259. Let u(z) = 0. Calculate z.
-17, 0, 1
Let w(t) be the second derivative of -t**5/150 - t**4/15 + 16*t**3/45 + 4*t - 2. Factor w(x).
-2*x*(x - 2)*(x + 8)/15
Let z(t) be the first derivative of t**3/15 - t**2/5 + t/5 - 92. Factor z(r).
(r - 1)**2/5
Let j(x) be the second derivative of -x**5/60 - x**4/6 + x**3/18 + x**2 - 850*x. Factor j(l).
-(l - 1)*(l + 1)*(l + 6)/3
Let u(l) be the third derivative of 0 + 0*l + 1/24*l**4 + 1/120*l**5 - l**2 + 1/12*l**3. Factor u(q).
(q + 1)**2/2
Suppose 26 = 3*u - 3*a - 37, 0 = 3*u + 5*a - 103. Let b = u + -22. Factor p**3 + 2*p + 2*p**2 + 0*p**3 - p**b - 3*p**3 - p**2.
-p*(p - 1)*(p + 1)*(p + 2)
Find v such that 584*v**2 - 24*v - 9 - 588*v**2 + 9 = 0.
-6, 0
Let i(f) be the third derivative of f**5/300 - 3*f**4/40 - f**3/3 + 223*f**2. Suppose i(o) = 0. Calculate o.
-1, 10
Let v(z) be the second derivative of z**7/14 + z**6 + 12*z**5/5 - z**4/2 - 17*z**3/2 - 12*z**2 - 53*z - 1. Factor v(j).
3*(j - 1)*(j + 1)**3*(j + 8)
Let m(f) = f**2 + 8*f - 16. Let s be m(-10). Determine i, given that 8*i**3 + 2 - 2 + 10*i**2 + 1940*i**s - 1938*i**4 + 4*i = 0.
-2, -1, 0
Let i(j) be the third derivative of j**7/84 - j**6/45 - 11*j**5/60 - j**4/6 + 7*j**3/6 + 15*j**2. Let h(p) be the first derivative of i(p). Factor h(m).
2*(m - 2)*(m + 1)*(5*m + 1)
Solve 5/8*n**4 + 0 + 0*n**2 + 0*n + 1/2*n**3 + 1/8*n**5 = 0 for n.
-4, -1, 0
Let m = 4 + -1. Let q(h) be the third derivative of 0 + 2*h**2 + 0*h + 1/20*h**5 + 3/2*h**m + 1/2*h**4. Determine l so that q(l) = 0.
-3, -1
Let g(s) = 3*s**2 - 3*s + 1. Let x(l) = -l + 1. Let y(w) = -g(w) + 5*x(w). Let c(i) = i + 4*i**2 + i**2 - 3 - 3*i**2. Let n(z) = 4*c(z) + 3*y(z). Factor n(a).
-a*(a + 2)
Let k = -10 + 13. Suppose o + 0*o = k. Let 4 - 2*y**o + 3*y**2 - 25*y + 27*y - 7*y**2 = 0. Calculate y.
-2, -1, 1
Let h = 40098 - 120290/3. Factor 8/3*n - 4 + h*n**2.
4*(n - 1)*(n + 3)/3
Let s(k) = 18*k**2 - 49*k + 238. Let g(w) = 3*w**2 + w - 1. Let m(v) = -5*g(v) + s(v). Factor m(j).
3*(j - 9)**2
Determine p, given that 27*p - 78*p**4 + 3*p**3 + 79*p**4 - 53*p**2 + 22*p**3 = 0.
-27, 0, 1
Let n(p) be the third derivative of -8*p**7/105 - 14*p**6/15 + p**5/5 + 10*p**4/3 - 14*p**3/3 + 6*p**2 - 1. Find g, given that n(g) = 0.
-7, -1, 1/2
Let s(h) = h**5 - 96*h**4 + 1921*h**3 - 6723*h**2 + 6403*h - 3. Let a(v) = -4*v**4 - v**3 - v**2 + v - 1. Let c(f) = 12*a(f) - 4*s(f). Factor c(p).
-4*p*(p - 40)**2*(p - 2)**2
Let f = 1164 + -1158. Let l(q) be the second derivative of 0*q**3 + 0 - 4/5*q**2 + 1/30*q**4 - f*q. Solve l(y) = 0 for y.
-2, 2
Let w be (7/2)/((-3)/(-6)). Determine d so that 13*d - 14*d + 2*d**2 - w*d = 0.
0, 4
Let l(g) be the third derivative of -15/8*g**4 - 25/2*g**3 + 3/70*g**7 + 1/560*g**8 - 25 + 0*g + 37/100*g**6 + 11/10*g**5 + 2*g**2. Factor l(h).
3*(h - 1)*(h + 1)*(h + 5)**3/5
What is s in 6/5*s + 2/5*s**2 - 4 = 0?
-5, 2
Suppose 50/23 - 18/23*b**2 - 30/23*b - 2/23*b**3 = 0. Calculate b.
-5, 1
Let j(q) be the third derivative of q**5/15 - 2*q**4 - 4*q**2 - 1. Factor j(l).
4*l*(l - 12)
Factor 5*m**4 - 231*m**3 - 231*m**3 + 457*m**3.
5*m**3*(m - 1)
Suppose 13*u - 22*u = 21*u - 60. Determine c so that -88/7*c - 8*c**4 - 4*c**u - 16/7 - 14*c**5 + 286/7*c**3 = 0.
-2, -2/7, 1
Find v such that 0 + 2/9*v**2 + 2/9*v**3 + 0*v = 0.
-1, 0
Let d(m) = m**2 + 2*m - 4. Let i be d(-4). Suppose 2*u - i = 2. Factor 3*n**3 + 3*n**2 - 2*n**u - 2*n**3.
-n**2*(n - 3)
Let y(b) be the third derivative of -b**7/70 - 13*b**6/40 + 3*b**5/4 + 13*b**4/8 - 7*b**3 - 63*b**2. Let y(u) = 0. What is u?
-14, -1, 1
Let h(s) = -3*s - 37. Let l be h(-13). Suppose l*r - 16 = -3*z - 4, -5*z + 16 = 2*r. Determine w so that 62/5*w**4 + 0*w - 6*w**5 + 0 + 8/5*w**z - 8*w**3 = 0.
0, 2/5, 2/3, 1
Solve -1384*g**2 - 1391*g**2 - 10*g**5 - 22*g**4 - 14*g**3 + 2773*g**2 = 0 for g.
-1, -1/5, 0
Let u = -107 + 111. Let v(k) be the second derivative of -1/9*k**3 + 0*k**2 - 1/90*k**6 + 0 + 1/36*k**u + 1/30*k**5 - 4*k. What is j in v(j) = 0?
-1, 0, 1, 2
Let b(v) be the second derivative of -v**7/42 + v**6/6 + 2*v**5/5 - v**4 + 3*v - 12. Let b(y) = 0. Calculate y.
-2, 0, 1, 6
Let r(t) be the first derivative of t**4/18 + 8*t**3/9 + 4*t**2 - 272. Factor r(g).
2*g*(g + 6)**2/9
Let d be (80/60)/((-1)/(-9)). Suppose -4*n = -3*f - 22, f = 5*n + 5*f - d. Factor -1/4*u**2 - 2*u - n.
-(u + 4)**2/4
Let b be 2/(5/(-3)*-12). Let h(q) be the third derivative of 0*q - 4*q**2 + 0 - b*q**3 - 1/300*q**5 - 1/30*q**4. Factor h(j).
-(j + 1)*(j + 3)/5
Let l(z) be the second derivative of z**7/7 + 29*z**6/10 + 63*z**5/5 + 79*z**4/4 + 11*z**3 - 3*z + 32. What is d in l(d) = 0?
-11, -2, -1, -1/2, 0
Let d(v) be the first derivative of -5*v**4/24 + 5*v**3/3 - 15*v**2/4 + 10*v/3 - 94. Factor d(p).
-5*(p - 4)*(p - 1)**2/6
Let u(s) be the first derivative of 5*s**6/6 - 12*s**5 + 70*s**4 - 640*s**3/3 + 360*s**2 - 320*s + 75. Find x, given that u(x) = 0.
2, 4
Let h be ((-5)/(-1))/(2/6). Factor -h*b**2 + 3*b**3 - 2*b**3 + 8*b**3 - 14*b**3.
-5*b**2*(b + 3)
Let g(i) = i**2 - i + 1. Let p(w) be the third derivative of w**5/6 - 5*w**4/12 + 2*w**3/3 + 2*w**2. Let s(c) = 8*g(c) - p(c). Suppose s(j) = 0. What is j?
-1, 2
Let w = -14 - -22. Suppose h - 3*g - 2 = g, 4*h - 2*g - w = 0. Suppose -h*j - 8*j**2 + 20 - 20 = 0. Calculate j.
-1/4, 0
Let q be (-126)/(-33) - (-4)/22. Suppose 3*d + 24 = q*d. Factor d*t + 13*t**3 - 69*t**2 + 3*t**2 + 6*t**4 + 59*t**3 - 33*t**4 - 3.
-3*(t - 1)**2*(3*t - 1)**2
Let d(j) be the third derivative of -j**8/280 - 4*j**7/105 - 47*j**2. Let d(a) = 0. What is a?
-20/3, 0
Let x(q) be the first derivative of 3*q**4/8 - 13*q**3/6 + 13*q**2/4 - 3*q/2 + 297. Find z, given that x(z) = 0.
1/3, 1, 3
Suppose -1189*r = -1212*r. Factor 0*i - 4/17*i**2 + r + 2/17*i**3.
2*i**2*(i - 2)/17
Suppose 5*l - 2*l - 12 = 0. Let f = l + 85. Determine w, given that f*w**2 - 2 + 8*w - 6 - 91*w**2 = 0.
2
Factor -5/2*l + 25/2*l**2 - 10.
5*(l - 1)*(5*l + 4)/2
Let w be (-6)/(-6) + 2 + 2. Suppose 5*r - 25 = -4*o + w, 5*r + 2*o - 20 = 0. Let -3*t**3 + t - 2*t**2 + 0*t**3 - t**r + 5*t = 0. Calculate t.
-2, 0, 1
Let x = 883 - 13243/15. Let t(b) be the third derivative of 6*b**2 + 0 + 0*b - 1/60*b**4 - 1/150*b**5 + x*b**3. What is m in t(m) = 0?
-2, 1
Let i = -36 - -39. Let n(y) = 2*y**2 - 13*y. Let h(f) = -f**2 - f. Let v(s) = i*h(s) - n(s). Factor v(z).
-5*z*(z - 2)
Let t = -4840 + 4842. Solve 4/5*b**t + 12/5*b + 8/5 = 0.
-2, -1
Let q(s) be the third derivative of s**8/84 - 24*s**7/35 - 26*s**6/5 - 32*s**5/3 - 3*s**2 - 1. Solve q(k) = 0.
-2, 0, 40
Factor -8*l**2 - 6*l**4 + 10*l - 16*l**3 + 2*l**4 + 12 + 6*l.
-4*(l - 1)*(l + 1)**2*(l + 3)
Let b be 6 + 8*5/160 + -6. Suppose -1/8 + 1/4*s**3 - b*s + 1/8*s**4 + 0*s**2 = 0. What is s?
-1, 1
Let b = -97/877 + 983501/11401. Let g = b - 86. Factor -6/13*i**2 + g*i**3 + 0*i + 8/13.
2*(i - 2)**2*(i + 1)/13
Let p(x) be the first derivative of -x**4/18 + 2*x**3/9 + 10*x**2/9 - 16*x/3 - 159. Factor p(j).
-2*(j - 4)*(j - 2)*(j + 3)/9
Let q be ((-1)/(-2))/(3/12). Let t = -6773/4 + 1694. Find o such that -t*o**q + 3/4*o + 0 = 0.
0, 1
Let t(j) be the third derivative of 0 + 18/5*j**6 + 0*j**3 + 0*j + 5/168*j**8 - 32/3*j**4 - 58/105*j**7 + 8*j**2 - 112/15*j**5. Factor t(s).
2*s*(s - 4)**3*(5*s + 2)
Let v(t) be the third derivative of 5*t**8/336 + t**7/7 - 3*t**6/8 - 7*t**5/6 - 4*t**2 - 22. Factor v(w).
5*w**2*(w - 2)*(w + 1)*(w + 7)
Let g(a) be the second derivative of -a**6/50 - 21*a**5/100 - 9*a**4/10 - 2*a**3 - 12*a**2/5 - 73*a - 5. Factor g(b).
-3*(b + 1)*(b + 2)**3/5
Factor 2*x**3