t s = -17081/23 - -743. Suppose 0 = -15*f + 32 + 13. Factor -s*h**f - 8/23*h**4 + 0*h + 0 - 2/23*h**2.
-2*h**2*(2*h + 1)**2/23
Let r = -442824/7 - -63261. Determine z, given that -17/7*z**2 - r - z**3 - 13/7*z = 0.
-1, -3/7
Let y(w) be the third derivative of 0*w**3 - 11 - 1/48*w**4 + 0*w + 1/120*w**5 - 14*w**2. Factor y(p).
p*(p - 1)/2
Factor 20 - 17*y**3 + 126*y + 34*y**2 - 5*y**3 - 43 - 2*y**4 + 95.
-2*(y - 3)*(y + 1)**2*(y + 12)
Let g(d) be the third derivative of -26*d**2 + 0 - 2*d + 0*d**3 + 0*d**4 - 1/160*d**5 + 1/1680*d**7 - 1/480*d**6. Find k, given that g(k) = 0.
-1, 0, 3
Let a = -11743 - -281833/24. Let q(p) be the third derivative of 1/240*p**6 + 1/40*p**5 + 0*p**3 + 0*p - 12*p**2 + a*p**4 + 0. Factor q(y).
y*(y + 1)*(y + 2)/2
Find c such that -354*c**2 + 138*c**2 - 75*c**2 - 48544*c**3 - 549*c**2 + 837*c + 48547*c**3 = 0.
0, 1, 279
Let v be (-18286)/148 + (-22)/(-407). Let d = 125 + v. Factor -d*i**3 + 0 - 9/4*i**2 + 0*i.
-3*i**2*(2*i + 3)/4
Let n(d) be the second derivative of -25*d**7/56 - 563*d**6/120 - 1083*d**5/80 - 737*d**4/48 - 17*d**3/4 + 5*d**2 + 5*d - 625. Find j such that n(j) = 0.
-5, -1, -2/3, 4/25
Let u(b) be the first derivative of b**3/9 - 220*b**2/3 + 48400*b/3 + 1179. Suppose u(t) = 0. Calculate t.
220
Factor -40/3*j + 0 + 31/3*j**3 - 4/3*j**4 + 13/3*j**2.
-j*(j - 8)*(j - 1)*(4*j + 5)/3
Let -176 + 150*j + 4*j**3 + 535*j**2 + 122*j + 551*j**2 - 1186*j**2 = 0. What is j?
1, 2, 22
Suppose -13*f = 827 + 213. Let p = -50 - f. Factor 20 - 5/4*y**3 + 45/4*y**2 - p*y.
-5*(y - 4)**2*(y - 1)/4
Let u be (10/((-120)/18))/(2/(-4)). Let t be ((-7865)/(-264))/13 + 6/16. Find o, given that 2*o**u + t*o**2 - 2/3*o**4 + 0 + 0*o = 0.
-1, 0, 4
Let t be ((-10)/(-105))/(771/32382). Determine a so that -4*a**4 + 28/3*a**2 + t*a**3 - 8*a + 0 - 4/3*a**5 = 0.
-3, -2, 0, 1
Let f(i) be the first derivative of 1/9*i**3 + 31 + 1/18*i**6 - 1/15*i**5 - 1/4*i**4 + 1/3*i**2 + 0*i. Solve f(u) = 0 for u.
-1, 0, 1, 2
Suppose -1064*z + 3498*z = 9736. Suppose -2/15*u - 4/5*u**3 + 0 - 8/15*u**2 - 2/15*u**5 - 8/15*u**z = 0. What is u?
-1, 0
Let a(j) = -236 + 237 + 0*j**2 - j**3 + 0*j**2. Let p(x) = -5*x**2 - 3*x**3 - 8 + 22*x - 9 + 3*x. Let k(v) = 2*a(v) + p(v). Determine d so that k(d) = 0.
-3, 1
Factor -1/6*h**2 - 63/2*h - 270.
-(h + 9)*(h + 180)/6
Let c(v) be the first derivative of -v**8/5880 + v**7/8820 + v**6/1890 + v**3 - 5*v + 31. Let u(d) be the third derivative of c(d). Let u(t) = 0. Calculate t.
-2/3, 0, 1
What is l in 15552 + 5211/4*l**2 - 9720*l + 135/2*l**3 + 3/4*l**4 = 0?
-48, 3
Let -3029*w**2 - 764*w + 1487 + 3*w**3 + 2945*w**2 - 5807 - 568*w = 0. What is w?
-6, 40
Let z(u) be the third derivative of 13/540*u**6 - 62*u**2 - 2/45*u**5 + u + 1/1008*u**8 + 11/216*u**4 - 1/135*u**7 + 0 - 1/27*u**3. Let z(k) = 0. What is k?
2/3, 1
Let a = 1099954 + -1099954. Factor b**3 + 1/2*b**2 - 1/2*b**4 + a - b.
-b*(b - 2)*(b - 1)*(b + 1)/2
Let y = 189659/9 + -21073. Let w(v) be the first derivative of 2/15*v**5 - 24 + 1/2*v**4 + y*v**3 - 4/3*v - v**2. Factor w(x).
2*(x - 1)*(x + 1)**2*(x + 2)/3
Let q(c) be the first derivative of 54*c**4 - 15 + 8*c**2 - 13*c + 103*c**2 + 10*c - 145*c**3. Factor q(j).
3*(j - 1)**2*(72*j - 1)
Let o(l) be the third derivative of -l**7/630 + 23*l**6/90 - 32*l**5/3 - 128*l**4 - 2*l**2 + 30. Determine m, given that o(m) = 0.
-4, 0, 48
Let g(z) be the first derivative of -z**5 + 89*z**4/4 - 187*z**3/3 - 341*z**2/2 - 60*z + 9130. Determine u so that g(u) = 0.
-1, -1/5, 4, 15
Let b(c) = 2*c**2 - 6*c + 11. Let g be b(4). Let a be 2/19 + 112/g. Factor 6*w**4 - w - 5*w - 3*w**4 + 9*w**2 - a*w**4.
-3*w*(w - 1)**2*(w + 2)
Let d be 611/(-78)*12/(-188). Determine v, given that -d*v**2 - v + 15/2 = 0.
-5, 3
Let x(l) be the second derivative of -l**4/36 + 31*l**3/18 + 16*l**2/3 + 11*l + 2. Factor x(t).
-(t - 32)*(t + 1)/3
Let i(r) = r**2 + 15*r - 2. Let b(j) = 5*j**2 + 77*j - 11. Let x = -138 + 144. Let d(a) = x*b(a) - 33*i(a). Factor d(n).
-3*n*(n + 11)
Let y(p) be the second derivative of -16*p**2 + 27 - 56/3*p**3 - 49/6*p**4 + 3*p. Factor y(q).
-2*(7*q + 4)**2
Solve -1/8*z**2 - 3/2*z - 5/2 = 0 for z.
-10, -2
Let k be -3 - (12/2 + (-17344)/1920). Let l(z) be the first derivative of -k*z**5 + 18 - 1/4*z**2 - 5/24*z**4 - 7/18*z**3 + 0*z. Factor l(a).
-a*(a + 1)**2*(a + 3)/6
Let r = -17/48449 - -145466/339143. Let 24/7 + r*t**2 + 18/7*t = 0. Calculate t.
-4, -2
Let n = -198 + 200. Factor 10*d**2 + 3*d + 5*d**n + 9*d - 11 - 16*d**2.
-(d - 11)*(d - 1)
Let v(p) be the third derivative of 2/105*p**7 + 0*p + 0 - 140*p**2 - 1/15*p**5 + 0*p**3 + 4/15*p**6 - 4/3*p**4. Find s, given that v(s) = 0.
-8, -1, 0, 1
Find c, given that -1836*c - 2691*c**3 - 15*c**5 + 2712*c - 3054*c + 369*c**4 + 5115*c**2 = 0.
0, 3/5, 2, 11
Let k(m) be the first derivative of -3*m**5/10 - 2*m**4 + m**3 + 12*m**2 - 35*m/2 + 811. Suppose k(r) = 0. What is r?
-5, -7/3, 1
Suppose -80 = -22*u + 14*u. Factor -327*p + 105*p - u + 108*p + 99*p - 5*p**2.
-5*(p + 1)*(p + 2)
Factor -24*n - 33*n**3 - 468526*n**5 - 4*n**4 + 468529*n**5 + 4*n**4 - 54*n**2.
3*n*(n - 4)*(n + 1)**2*(n + 2)
Solve -2/5*f**3 - 1/5*f**4 + 0 - 24/5*f + 4*f**2 = 0 for f.
-6, 0, 2
Let w = -124 - -231. Suppose w*u = 91*u. Determine r so that u + 2/3*r**2 - 2/3*r = 0.
0, 1
Let i = 117797/14276 + -5/3569. What is r in -i - 3/8*r**2 - 69/8*r = 0?
-22, -1
Let f be 350/60*-3*(-152)/285. Let g(h) = h**2 - h - 7. Let s be g(4). Let 0 + 49/3*z**s + 162*z**3 - 343/3*z**4 + f*z**2 - 40/3*z = 0. Calculate z.
-2/7, 0, 2/7, 2, 5
Let s(m) be the first derivative of -63/8*m**2 - 27/2*m - 55 + 15/4*m**4 + 6/5*m**5 + 5/2*m**3 + 1/8*m**6. Determine d, given that s(d) = 0.
-3, -2, -1, 1
Suppose 2*x + x + 2270 = b, -5*x - 3750 = 5*b. Let p = 1533/2 + x. What is l in -15*l**2 + 4 - p*l**3 - 2*l - 5/2*l**4 = 0?
-2, -1, 2/5
Let m(s) be the second derivative of 1/42*s**4 + 2 - 8/7*s**3 + 0*s**2 - 153*s. Solve m(j) = 0 for j.
0, 24
Let u be -5 - (-6 - -1 - 5). What is j in -10*j**u - 39*j**4 + 6 - 20*j**2 + 11*j - 12*j**4 - 27*j**3 - 7*j**2 - 46*j**3 = 0?
-3, -1, -1/2, 2/5
Let z(k) be the second derivative of -k**4/42 - 12*k**3/7 - 1984*k. Factor z(a).
-2*a*(a + 36)/7
Let f(j) be the first derivative of -j**4/18 + 188*j**3/27 + 64*j**2/3 + 141. Suppose f(i) = 0. Calculate i.
-2, 0, 96
Let d(i) be the third derivative of 1/105*i**7 - 1/504*i**8 + 0 - 1/30*i**5 + 0*i**3 + 1/36*i**6 + 0*i - 1/9*i**4 - 14*i**2. Let d(v) = 0. Calculate v.
-1, 0, 1, 4
Let s(i) = -3*i**2 - 11*i. Let t(l) = -20*l**2 - 1575*l + 1525. Let d(f) = -5*s(f) + t(f). Factor d(j).
-5*(j - 1)*(j + 305)
Suppose 3*g - 3 = l, -5*g = -3*l - 9*g + 17. Determine z so that -76*z**4 + 7*z**4 - 24*z - 40*z**5 - 16 + 316*z**2 + 166*z**l - 9*z**4 = 0.
-2, -1/5, 1/4, 2
Let m(f) be the third derivative of -f**6/96 + 29*f**5/48 + 215*f**4/32 + 165*f**3/8 - f**2 + 98*f. Suppose m(c) = 0. What is c?
-3, -1, 33
Let a(d) be the second derivative of -d**7/280 + d**6/30 - d**5/8 + d**4/4 + d**3/3 - 13*d**2 - 19*d. Let r(x) be the second derivative of a(x). Factor r(o).
-3*(o - 2)*(o - 1)**2
Let 2/3*z**5 + 0 - 2088*z**2 - 3136/3*z - 258*z**4 - 3904/3*z**3 = 0. What is z?
-2, -1, 0, 392
Factor 1/3*j**2 + 64/3*j - 272/3.
(j - 4)*(j + 68)/3
Let a = -254789/9 - -28311. Factor -4/9 + 2/9*b + 16/9*b**2 + a*b**3.
2*(b + 1)**2*(5*b - 2)/9
Let y(o) be the second derivative of 2 + 1/3*o**4 - 4/25*o**5 + 1/210*o**7 + 32/5*o**2 - 1/50*o**6 + 14*o + 16/5*o**3. Suppose y(q) = 0. What is q?
-2, -1, 4
Let k = -34/503 + 605/1509. Determine b, given that -1/3*b**3 + 3*b**2 + k*b - 3 = 0.
-1, 1, 9
Let h be 3/4*(-24)/(-9). Let 36*j - 5*j**h - 108*j + 39*j + 29*j + 24*j = 0. Calculate j.
0, 4
What is i in 33 + 51 - 81*i**2 + 80*i**2 + 25 - 108*i = 0?
-109, 1
Let d(x) = -x**3 - 4*x + 6. Suppose 4 = -2*k + 3*k + 2*w, 4*w = -3*k + 10. Let c(r) = -r**3 + r**2 - 1. Let f(v) = k*c(v) - d(v). Let f(j) = 0. What is j?
-2, 2
Let s(k) = -3878*k - 46488. Let m be s(-12). Let -8/7*g**2 - m*g - 4/7*g**4 - 288/7 + 36/7*g**3 = 0. Calculate g.
-2, -1, 6
Suppose -3 = 3*t, -5*o - 2*t + 0*t = -8. Let z be -17 + 1 - ((-21)/(-9))/((-3950)/27255). Factor -z*j**o + 3/5*j - 1/2.
-(j - 5)*(j - 1)/10
Let u = 6/1831 + 1603/69578. Let v(x) be the first derivative of 0*x**3 + u*x**4 + 23 + 12/19*x - 7/19*x**2. Determine k, given that v