 be (17 - 5215/315)*((-4)/14 + (-192)/(-84)). Find h such that -c*h**4 + 28/9 + 50/3*h**2 - 32/9*h**3 - 122/9*h = 0.
-7, 1/2, 2
Suppose -4*s - 2*r = -302, 14*s + 358 = 19*s - 4*r. Suppose -83*n - 1764 - 11*n - s*n - 4*n**2 = 0. What is n?
-21
Let c(a) = -a**2 + a + 24. Let i be c(6). Let s(w) = -w**3 - 8*w**2 - 11*w + 10. Let o be s(i). Factor o*v**3 - 110 + 24*v**2 - 43 - 4 + 29.
4*(v - 2)*(v + 4)**2
Let x be 20/(-25)*(19 + (-8943)/462). Suppose 968/7 + 88/7*v + x*v**2 = 0. Calculate v.
-22
Factor 194481/2 + 40*t**3 + 359*t**2 - 17640*t + 1/2*t**4.
(t - 9)**2*(t + 49)**2/2
What is n in 1724/7*n**2 + 51/7*n**4 - 720/7*n**3 - 2304/7 - 1/7*n**5 + 192/7*n = 0?
-1, 2, 24
Let g be ((-786)/(-168) + -5)/((-48)/280*5). Factor 2025/8*n - 10125/8 + g*n**3 - 135/8*n**2.
3*(n - 15)**3/8
Find s such that -58/7 + 57/7*s + 1/7*s**2 = 0.
-58, 1
Let t(f) = -f**2 - 7*f + 141. Let k be t(9). Let m be (-259)/(-74) - -6*k/12. Find l, given that -2/9*l**m - 8/9 - 10/9*l = 0.
-4, -1
Suppose 0 = -j - 1, -90*j = -5*c - 81*j + 19. Let x(f) be the third derivative of 0*f**4 - 1/130*f**5 + 26*f**c + 0*f**3 + 0*f + 0 - 1/780*f**6. Factor x(u).
-2*u**2*(u + 3)/13
Let s(r) be the second derivative of r**7/378 + r**6/30 + 13*r**5/90 + r**4/6 - r**3/2 - 3*r**2/2 - 6650*r. Suppose s(m) = 0. Calculate m.
-3, -1, 1
Let k be (-2)/(-14) + (37665/63 - -8). Let a = -2403/4 + k. Solve -3 + 3/2*l**3 - 63/4*l**2 - 15*l + a*l**4 = 0 for l.
-1, -2/7, 2
Suppose 8 = -8*a + 32. Factor 7*k**3 - 12*k - 17*k**3 + 6*k**a - 3*k**4 + 13*k**3.
-3*k*(k - 2)**2*(k + 1)
Let a(w) be the first derivative of -2/15*w**3 - 11/5*w**2 + 8 - 4*w. Determine s, given that a(s) = 0.
-10, -1
Let w(y) be the third derivative of y**5/660 - y**4/22 + 16*y**3/33 - 1409*y**2. What is l in w(l) = 0?
4, 8
Suppose -3*u - 3 - 29 = -5*i, 0 = 4*i + 4*u. Suppose b - 13 = 5*g, -3*b - 9 = i*g - 29. Factor 1 - 4*h**2 - 1 + b - 4*h.
-4*(h - 1)*(h + 2)
Suppose -3*b + r + 107 = -111, -202 = -3*b + 5*r. Let l be ((-37)/b)/(2/(-8)). Factor -3/2 + 15/4*q + 9/4*q**l.
3*(q + 2)*(3*q - 1)/4
Let y(v) = 25886*v - 310632. Let m be y(12). Find u, given that m + 5/4*u**5 - 1/2*u + 7/4*u**4 - 3/4*u**3 - 7/4*u**2 = 0.
-1, -2/5, 0, 1
Let o(k) = -11*k**2 + 44*k + 30. Let x(y) = 78*y**2 - 306*y - 207. Let i(v) = -15*o(v) - 2*x(v). Suppose i(z) = 0. What is z?
-2/3, 6
Let y = 834462/11 - 75860. Factor 16/11 + y*g**2 - 18/11*g.
2*(g - 8)*(g - 1)/11
Let y(s) be the first derivative of -s**6/300 - s**5/30 + 7*s**4/30 + 7*s**2/2 + 6. Let v(p) be the second derivative of y(p). Factor v(b).
-2*b*(b - 2)*(b + 7)/5
Suppose 3*n = 5*i + 50 - 57, -5*i + 4*n = -6. Let b(f) be the first derivative of 1 - 1/25*f**5 + 1/10*f**i + 0*f - 1/20*f**4 + 1/15*f**3. Factor b(y).
-y*(y - 1)*(y + 1)**2/5
Let m be ((-54)/3 - 0)*9/(-60). Let o(w) be the second derivative of 4*w + m*w**2 + 1/20*w**4 + 3/5*w**3 + 0. Determine x so that o(x) = 0.
-3
Let k(m) = -17*m**2 + 99*m - 220. Suppose 0 = 10*x + 192 - 162. Let j(l) = 5*l**2 - 33*l + 73. Let y(p) = x*k(p) - 10*j(p). What is z in y(z) = 0?
-35, 2
Let m = 12/5 + -23/20. Suppose -10*c - 29 = -79. Factor c + 0*a - m*a**2.
-5*(a - 2)*(a + 2)/4
Let x(k) = -33*k**2 - 1272*k + 1273. Let w(y) = 280*y**2 + 10175*y - 10183. Let i(l) = 6*w(l) + 51*x(l). Solve i(p) = 0.
-1275, 1
Let u be -4 - (4 + -2) - -2. Let a be u/(-12) + (-7)/(-21). Factor -a - 2*k**2 - 2/3*k**3 - 2*k.
-2*(k + 1)**3/3
Suppose 3 = 3*j + 15. Let s(n) = 8*n**2 - 37*n + 77. Let l = 103 - 106. Let x(i) = -9*i**2 + 36*i - 76. Let t(m) = j*s(m) + l*x(m). Factor t(f).
-5*(f - 4)**2
Let d(c) be the second derivative of 0*c**5 - 1/24*c**6 + 5/3*c**3 + 5/8*c**4 + 0 - 5*c**2 - 8*c. Let h(z) be the first derivative of d(z). Factor h(g).
-5*(g - 2)*(g + 1)**2
Let v(t) = -4*t**2 - 2*t - 1. Let d(z) = -240*z**2 + 21*z + 3. Let g(r) = -d(r) - 3*v(r). Factor g(b).
3*b*(84*b - 5)
Let i(u) be the second derivative of 0*u**2 - u + 32 + 4/27*u**3 + 1/45*u**5 + 1/9*u**4. Factor i(f).
4*f*(f + 1)*(f + 2)/9
Solve 4*f**5 + 14143*f + 80*f**2 - 28*f**3 + 0*f**5 - 8*f**4 - 14191*f = 0.
-3, 0, 1, 2
Let y(r) = -r**4 + 25*r**3 - 164*r**2 + 98*r + 288. Let l(u) = u**2 + u. Let d(p) = -10*l(p) + 5*y(p). Factor d(i).
-5*(i - 12)**2*(i - 2)*(i + 1)
Let r be -2 + (-5040)/2646*(-6)/5. Find k such that 12/7*k**2 + r - 8/7*k**3 - 8/7*k + 2/7*k**4 = 0.
1
Let d(h) be the first derivative of h**6/6 + 9*h**5 + 129*h**4/4 + 127*h**3/3 + 21*h**2 - 4404. Factor d(n).
n*(n + 1)**3*(n + 42)
Let o(r) be the second derivative of -r**5/60 + r**4/36 + 65*r**3/18 + 21*r**2/2 + 1436*r - 1. Find t such that o(t) = 0.
-7, -1, 9
Let h(t) = 9*t**3 - 21*t**2 - 36*t - 6. Let i = -497 - -504. Let p(g) = 10*g**3 - 20*g**2 - 37*g - 7. Let q(a) = i*h(a) - 6*p(a). Factor q(o).
3*o*(o - 10)*(o + 1)
Suppose -543*y = 256*y. Let 4/5*t**2 - 1/5*t**3 + y + 0*t = 0. Calculate t.
0, 4
Let v(x) be the third derivative of 4*x**6/15 + 62*x**5/5 - 381*x**4/16 + 18*x**3 + 52*x**2 - x + 5. Factor v(r).
(r + 24)*(8*r - 3)**2/2
Let t(g) be the first derivative of -1/3*g**6 + 0*g**2 + 3*g**4 + 0*g**3 + 0*g + 80 + 2*g**5. Factor t(s).
-2*s**3*(s - 6)*(s + 1)
Find r, given that -2/3*r**2 + 916/3 + 914/3*r = 0.
-1, 458
Factor 6*a + 0*a**2 + 0 - 3/2*a**3.
-3*a*(a - 2)*(a + 2)/2
Let o be 3 + (73 - 75992/1003). Determine v so that 52/17*v**2 + 2/17*v**5 - 26/17 - 26/17*v**4 + 2/17*v - o*v**3 = 0.
-1, 1, 13
Suppose 10*h - 1019 = 31. Let f be 130/h - 1*(-2)/21. Factor 4/3*r - r**3 - f*r**2 + 0.
-r*(r + 2)*(3*r - 2)/3
Let t(m) be the second derivative of 0 + 2*m + 1/18*m**4 + 4*m**2 + 1/180*m**5 + 0*m**3. Let a(q) be the first derivative of t(q). Let a(r) = 0. What is r?
-4, 0
Let t(z) be the third derivative of z**5/30 + 107*z**4/2 - 54*z**2 + 4. What is j in t(j) = 0?
-642, 0
Let s(f) = f**4 - f**3 + 2. Suppose -7*z - 4 = -3*z. Let w(y) = -48*y**3 - 152*y**2 - 208*y - 88. Let l(c) = z*w(c) + 4*s(c). Suppose l(j) = 0. Calculate j.
-6, -2, -1
Let s = -340 - 389. Let l = s - -731. Let 4/5*b - l*b**2 + 6/5 = 0. Calculate b.
-3/5, 1
Let 505/6*y**3 - 235*y**2 + 40/3*y**4 - 35/6*y**5 + 0 + 60*y = 0. What is y?
-4, 0, 2/7, 3
Let a(q) be the second derivative of q**6/90 - q**5/20 - 13*q**4/36 + 5*q**3/6 - 1701*q. Factor a(j).
j*(j - 5)*(j - 1)*(j + 3)/3
What is u in 0 - 129*u**4 - 540*u**2 + 0*u - 3/2*u**5 + 534*u**3 = 0?
-90, 0, 2
Let x(j) be the third derivative of 62*j**2 + 29/12*j**4 + 2/15*j**5 + 7/3*j**3 + 0 + 0*j. Factor x(v).
2*(v + 7)*(4*v + 1)
Let g(b) be the third derivative of -b**7/1575 + 4*b**6/45 - 112*b**5/25 + 3136*b**4/45 + 87808*b**3/45 - 875*b**2. Factor g(n).
-2*(n - 28)**3*(n + 4)/15
Suppose 18*j = 28 + 116. Factor 3*h**4 + h**3 + 6*h**2 - 3*h**3 - j*h - 4*h**4 - h**4 - 8 + 6*h**3.
-2*(h - 2)**2*(h + 1)**2
Let x = 1383 - 9641/7. Suppose 6548*i = 6628*i. Factor -50/7*w**4 - 8/7*w**2 - x*w**3 + i*w + 0.
-2*w**2*(5*w + 2)**2/7
Let t(n) be the third derivative of -n**6/40 + 51*n**5/20 - 95*n**4/8 - 147*n**3/2 + 4*n**2 - 77. Factor t(u).
-3*(u - 49)*(u - 3)*(u + 1)
Suppose -8*r + 95 = 15. Factor -28*f**3 + 22*f**4 + 16*f + 2*f**2 - 2*f**2 - r*f**4.
4*f*(f - 2)*(f - 1)*(3*f + 2)
Let h(y) be the first derivative of 48 - 1/15*y**3 - 5*y - y**2. Factor h(p).
-(p + 5)**2/5
Let n(g) be the second derivative of -1/3*g**3 + 1/10*g**5 + 1/10*g**4 + 5*g + 3 - 4/5*g**2 + 1/75*g**6. What is s in n(s) = 0?
-4, -1, 1
Let r(d) be the first derivative of 2/3*d**2 + 20/9*d**3 + 84 - 1/3*d**4 - 20/3*d. Factor r(g).
-4*(g - 5)*(g - 1)*(g + 1)/3
Let x(z) = 190*z**2 - 865*z + 220. Let g(j) = -7*j**2 + 32*j - 8. Let l(m) = -55*g(m) - 2*x(m). Factor l(b).
5*b*(b - 6)
Let k = 225 - 48. Let v = k + 29. Factor -4*o**3 + v - 238 - 7*o - 4*o - 28*o**2 - 45*o.
-4*(o + 1)*(o + 2)*(o + 4)
Let z be -5*(-12)/20 + 1 - 834. Let m be ((-332)/z)/(11/10). Factor 6/11*n - m*n**2 + 18/11.
-2*(n - 3)*(2*n + 3)/11
Find g such that -24/7*g + 12/7*g**2 - 2/7*g**3 + 16/7 = 0.
2
Let g be (0 - 2)*29/638*-33 - -1. Suppose 15/2*o**3 + 5/2*o**g - o**5 + 12 + 10*o - 25*o**2 = 0. Calculate o.
-3, -1/2, 2
Let w(l) be the third derivative of 0*l + 31*l**2 - 5/32*l**4 + 1/16*l**3 + 1/32*l**6 + 0 + 23/160*l**5 - 3/70*l**7. Suppose w(r) = 0. What is r?
-1, 1/6, 1/4, 1
Let x(c) be the second derivative of c**5/55 - 103*c**4/66 + 1300*c**3/33 + 676*c**2/11 + 2*c - 276. Suppose x(b) = 0. What is 