**2 + 3*u - 1. Let g(x) = 20*j(x) - 5*y(x). Factor g(d).
-5*(d - 9)*(d - 1)*(d + 7)
Let n = 169/5 + -1009/30. Let t(z) be the second derivative of -1/30*z**6 + 0*z**2 + n*z**3 + 0 + 1/12*z**4 - 1/20*z**5 - 9*z. Determine d so that t(d) = 0.
-1, 0, 1
Let w = -3419/7 + 489. Let n(y) be the first derivative of -8/21*y**3 - 5/7*y**2 - w*y - 3 - 1/14*y**4. Solve n(z) = 0.
-2, -1
Let h(o) = o**3 + 21*o**2 - 23*o - 24. Let g be h(-22). Let d be (1 + g)/((-25)/10). Factor 0*f + 2/5 - d*f**2.
-2*(f - 1)*(f + 1)/5
Suppose 3*t = 2*t + 4*o + 195, -3*t + 619 = 5*o. Suppose t*l = 202*l. Factor l - 1/3*q**2 + 0*q.
-q**2/3
Factor 11/6*i**2 + 3*i + 0 + 1/6*i**3.
i*(i + 2)*(i + 9)/6
Let o(y) be the third derivative of 0*y - 1/40*y**5 + 0 - 1/240*y**6 - y**2 - 1/12*y**3 - 1/16*y**4. Suppose o(c) = 0. What is c?
-1
Let x = 152 + -82. Let j be 15*((-6)/21 - (-24)/x). Let -j*p**2 + 6/7*p - 2/7 + 2/7*p**3 = 0. What is p?
1
Let r(x) be the first derivative of -8*x**2 - 4/9*x**3 - 22 - 48*x. Determine d so that r(d) = 0.
-6
Factor -2/7*q**2 - 512/7 - 64/7*q.
-2*(q + 16)**2/7
Suppose 0 = -21*s + 7*s + 28. What is q in -54*q - 64 - 33*q**s - 7*q**3 + 21*q**3 - 39*q - q**4 - 19*q = 0?
-1, 8
Let q = 745/522 - 57/58. Factor 0 + q*h**3 + 0*h**2 - 16/9*h.
4*h*(h - 2)*(h + 2)/9
Suppose 3/2*b**4 - 27*b**3 + 3/4*b**5 - 48*b + 0 + 66*b**2 = 0. What is b?
-8, 0, 2
Let g = 785/4 - 196. Solve -1/2*x + g*x**2 + 0 = 0.
0, 2
Let -961 - 31*g - 1/4*g**2 = 0. Calculate g.
-62
Let v(h) be the first derivative of 3/5*h**5 + 17 + 3*h**3 + 6*h**2 - 3*h**4 - 12*h. What is u in v(u) = 0?
-1, 1, 2
Suppose 156 = 53*i + 50. Factor -2/3*d**i - 2/3 + 4/3*d.
-2*(d - 1)**2/3
Let c be 35/42*6/(-15)*-5. Factor c*y**3 + 0*y - 5/3*y**5 - 5/3*y**2 + 5/3*y**4 + 0.
-5*y**2*(y - 1)**2*(y + 1)/3
Let m(y) be the first derivative of y**6/9 - 6*y**5/5 + y**4/2 + 146*y**3/9 + 32*y**2 + 24*y + 45. Factor m(x).
2*(x - 6)**2*(x + 1)**3/3
Factor 9/2*w + 17/6*w**2 - w**3 + 2/3.
-(w - 4)*(w + 1)*(6*w + 1)/6
Let s(u) be the third derivative of u**5/30 + 3*u**4/4 - 22*u**3/3 + 4*u**2 + u. Factor s(i).
2*(i - 2)*(i + 11)
Let t be (-1)/(-4 + 38/10). Suppose -257 = -t*j - 22. Factor -98*f + f**2 - 1 + 52*f + j*f - f**3.
-(f - 1)**2*(f + 1)
Let m(b) be the third derivative of b**8/1344 - 13*b**7/840 + 23*b**6/240 + b**5/24 - 175*b**4/96 - 125*b**3/24 - 2*b**2 + 62*b. Factor m(v).
(v - 5)**3*(v + 1)**2/4
Factor 9 - i**2 - 3*i + 1/3*i**3.
(i - 3)**2*(i + 3)/3
Let g(b) be the first derivative of -b**4/4 - 3*b**3 - 7*b**2 + 24*b - 157. Find w such that g(w) = 0.
-6, -4, 1
Suppose 2*u = -3*u. Suppose 51*l**2 - 13*l**3 + u*l - 9*l - 2*l**3 - 9*l = 0. What is l?
0, 2/5, 3
Let i(y) be the third derivative of y**7/840 - 17*y**6/240 + 253*y**5/240 + 51*y**4/8 + 27*y**3/2 - 74*y**2. Determine u so that i(u) = 0.
-1, 18
Let z(a) be the third derivative of -a**5/130 + 119*a**4/156 + 40*a**3/39 - 11*a**2 - a. Find j such that z(j) = 0.
-1/3, 40
Let i(g) be the second derivative of 33*g - 1/66*g**4 + 0 + 1/33*g**3 + 0*g**2. Let i(q) = 0. What is q?
0, 1
Let v be (-30)/27 - (-4648)/3276. Let v + 6/13*g + 2/13*g**2 = 0. Calculate g.
-2, -1
Suppose -5*l - 18 = -i + 18, -5*i - 4*l = -180. Factor 24 + i*r - 80*r - 3*r**2 + 38*r.
-3*(r - 2)*(r + 4)
Factor 17/2*z - 5 - 3/2*z**2.
-(z - 5)*(3*z - 2)/2
Let q = 30 - 42. Let m be 0/((-9)/(54/q)). Determine k, given that -1/4*k**4 + 1/4*k - 1/4*k**3 + 1/4*k**2 + m = 0.
-1, 0, 1
Solve -4/7*j**2 + 4/7 + 0*j = 0.
-1, 1
Let o(j) be the third derivative of -11*j**2 + 0*j + 3/8*j**4 + 0 + 1/50*j**5 + 7/10*j**3. Factor o(s).
3*(s + 7)*(2*s + 1)/5
Let f = 29633/7 - 4233. Let -f*c - 1/7 - 1/7*c**2 = 0. Calculate c.
-1
Let k be (135/1125)/((-2)/(-10)). Factor -k*l**2 - 6/5*l - 3/5.
-3*(l + 1)**2/5
Determine b so that 2/13*b**3 - 2/13*b**5 + 18/13*b**2 - 18/13*b**4 + 0*b + 0 = 0.
-9, -1, 0, 1
Let p = -80666/5 + 16134. Factor 0 - 2/5*o**3 + p*o**2 - 2/5*o.
-2*o*(o - 1)**2/5
Let v be 2 - ((-2458)/(-1400) - (-2)/8). Let u = v + 353/525. Factor 0 - 8/3*m**2 + 2/3*m + u*m**5 - 8/3*m**4 + 4*m**3.
2*m*(m - 1)**4/3
Let x(f) = f**3 + 6*f**2 + 2*f - 6. Let r be 1 - 1/3 - (-77)/(-21). Let b(d) = -d**3 - 12*d**2 - 4*d + 12. Let q(y) = r*b(y) - 5*x(y). Factor q(a).
-2*(a - 3)*(a - 1)*(a + 1)
Let p(j) be the first derivative of -3 - 1/2*j**2 + 0*j**3 + 0*j - 1/150*j**5 + 0*j**4. Let o(a) be the second derivative of p(a). Factor o(d).
-2*d**2/5
Let j(m) = 12*m**2 - 26*m - 38. Suppose -7*k + 9*k - 6 = 0. Let c(b) = 4*b**2 - 9*b - 13. Let o(p) = k*j(p) - 10*c(p). Factor o(f).
-4*(f - 4)*(f + 1)
Factor 13/4 + b**2 - 53/4*b.
(b - 13)*(4*b - 1)/4
Let t be ((-25)/(-5))/((-25)/(-10)). Let r be ((-3)/(-2))/(2/4). Factor 10*j**4 + 48*j**t + r*j**4 + 50*j**3 + j**3 + 2*j**4 + 12*j.
3*j*(j + 1)*(j + 2)*(5*j + 2)
Let z = 24864/5 - 4972. Let -z*b**4 - 2/5*b + 0*b**3 + 2/5*b**5 + 4/5*b**2 + 0 = 0. Calculate b.
-1, 0, 1
Let v(u) be the third derivative of u**7/12600 + u**6/1800 - 5*u**4/24 + 21*u**2. Let j(d) be the second derivative of v(d). Factor j(t).
t*(t + 2)/5
Let y = -7872/7 - -1128. Factor y*z - 48/7 - 3/7*z**2.
-3*(z - 4)**2/7
Factor 2/9*q**3 - 196/9 + 14/3*q + 8/3*q**2.
2*(q - 2)*(q + 7)**2/9
Let b(s) = 12*s**3 + 17*s**2 - 636*s + 315. Let f(p) = 325*p**3 + 460*p**2 - 17170*p + 8505. Let n(w) = -55*b(w) + 2*f(w). Factor n(z).
-5*(z - 7)*(z + 9)*(2*z - 1)
Let w(h) be the second derivative of -3/2*h**3 - 3/20*h**5 + 0 + 0*h**2 + 1/10*h**6 - 5/4*h**4 - 13*h. Let w(y) = 0. What is y?
-1, 0, 3
Let x(q) = -2*q**3 - q**2 - 2*q + 3. Let z be x(0). Find t, given that 0*t**z - 2/9*t + 2/9*t**5 - 4/9*t**4 + 0 + 4/9*t**2 = 0.
-1, 0, 1
Let j(f) be the third derivative of -f**7/30 + f**6/3 + 29*f**5/12 - 65*f**4/12 - 8*f**3 + 12*f**2 - 6. Determine u so that j(u) = 0.
-3, -2/7, 1, 8
Suppose 10*v - 7*v = 9. Suppose -2*t - 2*t + 344 = 0. Solve 6*x**2 + x**v + t - 86 + 9*x = 0.
-3, 0
Let s = 2806 - 8846/3. Let y = 143 + s. Factor -y + 1/3*b**2 + 0*b.
(b - 1)*(b + 1)/3
Let k(v) be the second derivative of 5*v + 5/3*v**3 - 4*v**4 + 0 - 11/2*v**5 - 28/15*v**6 + 2*v**2. Let k(h) = 0. What is h?
-1, -1/4, 2/7
Let h(o) = o**3 - 5*o**2 - 96*o + 66. Let m be h(-8). Let j = -221/6 + 75/2. Let -j*y**m + 5/3*y + 1 = 0. What is y?
-1/2, 3
Let j be 3 + 5/(2 - 3). Let l be -56*(-4)/(-8)*j. Suppose -3 - l*o**3 - 4*o**5 + 282*o + 24*o**4 + 64*o**2 - 318*o + 11 = 0. Calculate o.
1, 2
Let s = 2/857 + 777/34280. Let o(l) be the third derivative of -5/48*l**4 - 1/6*l**3 + 0 - 7*l**2 - s*l**5 + 0*l. Find k, given that o(k) = 0.
-1, -2/3
Find a such that -1/2*a**4 - 24 + 13/2*a**2 + 20*a - 2*a**3 = 0.
-4, 1, 3
Let x = 830 + -826. Factor 2/7*c**5 + 0 + 0*c + 4/7*c**x + 0*c**2 + 0*c**3.
2*c**4*(c + 2)/7
Let r(u) be the third derivative of -2*u**6/45 - 11*u**5/45 - 5*u**4/9 - 2*u**3/3 + 9*u**2 + u. Factor r(l).
-4*(l + 1)**2*(4*l + 3)/3
Let f(o) be the second derivative of o**6/180 - 3*o**5/40 + 7*o**4/72 + o**3/4 - 2*o**2/3 + 124*o. Find z such that f(z) = 0.
-1, 1, 8
Let q(f) be the first derivative of -f**3/7 - 6*f**2/7 - 63. Determine s, given that q(s) = 0.
-4, 0
Let o be 1*(-1)/(-2)*-10. Let n be (140/(-22))/o - (-2)/(-11). Find g, given that 0 + n*g**2 - 2/11*g - 10/11*g**3 = 0.
0, 1/5, 1
Let w(g) be the third derivative of -g**7/945 - g**6/60 - 4*g**5/45 - 4*g**4/27 + 484*g**2. Suppose w(y) = 0. What is y?
-4, -1, 0
Suppose 0*d - 2*d + k = -7, 0 = 3*d + 5*k + 9. Let u be (-3)/d*(-9 + -1). Solve -29 + 62 - 27 + 3*h - 24*h**2 + u*h**3 = 0.
-2/5, 1
Let h = 1754/13091 + 20/1007. Suppose -h*m**2 - 2/13 + 4/13*m = 0. What is m?
1
Let t = -126 + 131. Suppose 2*l = -t*v - 0*l + 4, -3*v = l - 2. Suppose 0*b + 1/4*b**3 + 1/4*b**2 + v = 0. What is b?
-1, 0
Let n be 0/(2 - 1) + 2/1. Suppose n*l + 0*l - 3*t + 8 = 0, -l - 5*t + 22 = 0. What is h in -2/7*h + 0 + 2/7*h**l = 0?
0, 1
Suppose u - 5*p - 150 = 0, 3*p - 346 = -4*u + 139. What is q in 200*q**3 + 16/5 + u*q**4 + 32*q + 120*q**2 = 0?
-2/5
Let g be ((-1239)/99 + 13)*(3 + (-9)/4). Factor -10/11*v + 6/11*v**2 - g.
2*(v - 2)*(3*v + 1)/11
What is l in -16/3 - l**2 - 49/3*l = 0?
-16, -1/3
Factor 94787 + 35477 + 83950 + 105786 - 5*k**3 + 600*k**2 - 24000*k.
-5*(k - 40)**3
Let h(g) = -2*g - 2. Let b be (-39)/15 + (-15)/(-25). Let j be h(b). Suppose 2*i + 2*i**3 + 0*i**3 + i - 5*i**j + 9 - i**3 = 0. Calculate i.
-1, 3
Determin