(b) be the third derivative of 0 - 28*b**2 - v*b**3 - 5/12*b**4 + 0*b + 1/4*b**5. Suppose j(a) = 0. What is a?
-1/3, 1
Suppose 2*o = -2*i - 8, 2*i + 44 = -3*o + 7*i. Let h be 114/30 - (o/(-10))/(-4). Factor -11*l**3 + 168*l**2 + h*l**4 - 116*l**2 + 16 - 13*l**3 - 48*l.
4*(l - 2)**2*(l - 1)**2
Suppose 5*h + 3*q = 13, -2*q - 36 = 4*h - 46. What is x in -17 + 13*x**h + 2*x**3 + 48*x - 31*x**2 - 23 = 0?
2, 5
Let r be ((-1)/4)/(3/(-2)). Let d = 41216 - 41216. Determine v so that -5/6*v**3 - v**2 + d - r*v = 0.
-1, -1/5, 0
Let n(f) be the third derivative of 29/15*f**5 + 0*f**3 + 3*f**4 + 11/20*f**6 + f + 33*f**2 + 0 + 1/14*f**7 + 1/336*f**8. Let n(j) = 0. What is j?
-9, -2, 0
Suppose 12*a + 580 = 32*a. Determine p, given that 28*p**3 + p + 62*p**2 - 98*p**2 - 4*p**4 - a*p + 40 = 0.
-1, 1, 2, 5
Let g = 235 - 237. Let i be (g/(-1))/((-2)/(-3)*1). Factor 8/7*d**2 - 8/7 + 4/7*d - 4/7*d**i.
-4*(d - 2)*(d - 1)*(d + 1)/7
Let n(x) = 9*x**4 - 171*x**3 + 48*x**2 - 3*x + 3. Let c(q) = -8*q**4 + 171*q**3 - 50*q**2 + 4*q - 4. Let p(g) = 3*c(g) + 4*n(g). Find i such that p(i) = 0.
0, 1/4, 14
Let i = 7/4 + -1. Let s = -1770/11 - -7377/44. Factor 15/4*f**2 + i*f**3 + 9/4*f - s.
3*(f - 1)*(f + 3)**2/4
Suppose 6 = 2*l + 2*b + 28, 5*b - 55 = 5*l. Let o be l + -6*(-108)/56. Suppose 2/7*g**4 - 6/7 + o*g**2 - 8/7*g**3 + 8/7*g = 0. Calculate g.
-1, 1, 3
Let m(s) = -s**3 - 12*s**2 - 13*s - 18. Let k be m(-11). Let g be 6/k + 16/((-288)/25). Factor g*n**5 + 20/3*n**3 - 125/9*n + 0 + 50/9*n**2 + 14/9*n**4.
n*(n - 1)*(n + 5)**3/9
Let l(i) = 14*i**3 - 3300*i**2 + 1624*i + 10. Let t(w) = -w**3 - w**2 + 3*w - 1. Let v(d) = l(d) + 10*t(d). Let v(f) = 0. Calculate f.
0, 1/2, 827
Let t(u) be the third derivative of -1/10*u**5 + 0*u - 10/9*u**3 - 90*u**2 + 0 + 47/36*u**4. Let t(q) = 0. Calculate q.
2/9, 5
Let h(a) = 6*a**2 - 92*a + 294. Let b(z) = 2*z**2 - 31*z + 98. Let c(f) = -8*b(f) + 3*h(f). Solve c(t) = 0.
7
Let z(a) be the third derivative of -528529*a**5/390 - 727*a**4/39 - 4*a**3/39 - 2*a**2 + 2*a + 234. Factor z(q).
-2*(727*q + 2)**2/13
Let v(w) be the third derivative of 62*w**7/105 + 404*w**6/15 + 5291*w**5/15 + 169*w**4/3 + 2*w**2 + 3460. Find n, given that v(n) = 0.
-13, -2/31, 0
Let t(m) = -m - 6 + 11 - 1. Let l be t(2). Suppose -117*i - 10*i**l + 20 + 135*i**2 + 20*i - 3*i = 0. Calculate i.
2/5
Let h = 780817 - 1561631/2. Find r, given that h - 93/2*r + 2883/8*r**2 = 0.
2/31
Suppose 442*l + 836 = 1031 + 1573. Factor -1/7*c**5 + 0*c**2 + 0*c + 0 - 8/7*c**3 + 6/7*c**l.
-c**3*(c - 4)*(c - 2)/7
Let r(x) be the first derivative of -x**3 - 33*x**2 + 5985*x - 9367. Determine c so that r(c) = 0.
-57, 35
Factor 11*c**3 - 7*c**3 + 1424*c**2 + 560*c - 1516*c**2 - 784.
4*(c - 14)*(c - 7)*(c - 2)
Suppose 353*c + 2740*c - 12268*c + 5*c**2 - 223*c + 18245 - 8852*c = 0. What is c?
1, 3649
Let f be -24 + (-6550)/(-275) + 1582/231. Factor -7/3*p**3 + 65/3*p**2 - f + 52/3*p.
-(p - 10)*(p + 1)*(7*p - 2)/3
Suppose 0 = 18*w - 15*w - 6. Factor 5*j**w + j**2 + 166*j**3 - 16*j - 163*j**3 - 108 - 29*j.
3*(j - 4)*(j + 3)**2
Let u(y) be the first derivative of 847*y**4/17 - 3454*y**3/51 + 372*y**2/17 + 72*y/17 + 800. What is w in u(w) = 0?
-1/14, 6/11
Let p be (-2)/(4/(-10) + 0). Suppose 9 = -y + 5*h + 32, 5*y = -5*h - p. Determine f so that -12*f**2 + 9*f**3 - 10*f - 3*f**2 + 16*f**y = 0.
-2/5, 0, 1
Let x(h) be the second derivative of 1/900*h**6 + 1/30*h**4 + 0*h**2 + 0 + 3*h + 1/100*h**5 + 7/6*h**3. Let s(g) be the second derivative of x(g). Factor s(t).
2*(t + 1)*(t + 2)/5
Let m(l) be the third derivative of 0*l**3 + 0 + 5/6*l**4 + 0*l - 4/105*l**7 - 1/336*l**8 + 1/15*l**5 + 40*l**2 - 1/8*l**6. Suppose m(z) = 0. Calculate z.
-5, -2, 0, 1
Let s(o) = o**3 - 12*o**2 + 17*o + 32. Let g be s(10). Determine q so that 16 + q + 11*q - 307*q**2 - 307*q**2 + 616*q**g = 0.
-4, -2
Let b be ((-16100)/(-152145))/(10/36). Factor -2/7 - 2/21*h**2 + b*h.
-2*(h - 3)*(h - 1)/21
Let p be (-50)/(-5*(-6)/45). Let f be (0 - -6)*p/(-45). Factor 0 + 21*k**3 + 30*k**2 + f*k**4 - 5*k - 10 + 14*k**3 + 0*k**2.
5*(k + 1)**2*(k + 2)*(2*k - 1)
Let y = 78 + -75. Factor -129 + 6692 + 306*j + 1240 + y*j**2.
3*(j + 51)**2
Let r(n) be the first derivative of -15*n**5 + 1265*n**4/4 - 880*n**3/3 - 1270*n**2 - 320*n + 780. Find z such that r(z) = 0.
-1, -2/15, 2, 16
Let i(o) be the second derivative of -137*o + 39/100*o**5 - 4/15*o**4 + 0*o**2 + 0 + 39/100*o**6 + 1/60*o**7 + 0*o**3. Solve i(r) = 0 for r.
-16, -1, 0, 2/7
Suppose -4*c - 7 = 5. Let o be c*1*(-7 + 6). Solve 187*w**3 + 4*w - 92*w**o - 96*w**3 = 0.
-2, 0, 2
Let c = 439165 - 439163. Solve -12/5 + 2/5*l**c + 2/5*l = 0.
-3, 2
Let d(v) = -7*v**4 + 12*v**3 - 26*v**2 - 108*v + 121. Let a(w) = 5*w**4 - 10*w**3 + 27*w**2 + 106*w - 122. Let z(c) = 8*a(c) + 6*d(c). Factor z(h).
-2*(h - 5)*(h - 1)*(h + 5)**2
Let r(p) be the third derivative of -p**6/30 - 1329*p**5/20 + 1663*p**4/8 - 499*p**3/3 + p**2 + 4*p + 280. Factor r(z).
-(z - 1)*(z + 998)*(4*z - 1)
Let -2/11*n**2 - 620/11*n - 48050/11 = 0. Calculate n.
-155
Let p(o) be the first derivative of -1/72*o**4 - 7/12*o**2 - 10 - 13*o - 2/9*o**3. Let k(z) be the first derivative of p(z). Factor k(t).
-(t + 1)*(t + 7)/6
Suppose 0 = d + 2, 0 = q - 4*q + 3*d + 66. Suppose 7 = x - q. Solve -x*c**2 + 20*c + 55*c**2 - 33*c**2 = 0 for c.
0, 4
Let b be ((-78)/(-4))/(24/16). Suppose x + 16 = -f + b, -f - 2*x - 8 = 0. What is w in 0 + 2/3*w**2 - f*w = 0?
0, 3
Let v(p) be the second derivative of 0*p**2 + 9 - 3/4*p**3 - 5/16*p**4 - 3*p - 3/80*p**5. Let v(g) = 0. Calculate g.
-3, -2, 0
Let d(u) be the first derivative of -u**3 + 435*u**2 - 4275*u - 6583. Factor d(g).
-3*(g - 285)*(g - 5)
Find o such that -128/7 + 16/7*o + 4/7*o**5 - 32/7*o**4 + 160/7*o**2 - 20/7*o**3 = 0.
-2, -1, 1, 2, 8
Let o(n) = -3*n**2 - 12136*n - 12829864. Let t(z) = 3*z**2 + 12102*z + 12829863. Let y(j) = 9*o(j) + 8*t(j). Suppose y(v) = 0. What is v?
-2068
Let r(x) be the second derivative of 11/8*x**3 - 9/2*x**2 - 5/24*x**4 - 5*x + 7 + 1/80*x**5. Factor r(i).
(i - 4)*(i - 3)**2/4
Suppose -110 = -3*k - 119. Let z be 2/k - (2 - (-591)/(-9)). Find s such that -13*s + z*s**5 - 22*s**3 + 87*s**4 - 99*s**2 - 12*s**3 + s + 12 - 17*s**3 = 0.
-1, -2/3, 2/7, 1
Let t(d) be the third derivative of d**7/2520 + d**6/240 - d**5/12 + 55*d**4/24 + 49*d**2. Let w(n) be the second derivative of t(n). Find h such that w(h) = 0.
-5, 2
Let b(r) be the second derivative of -r**5/35 - 2*r**4/7 - 1506*r. Factor b(z).
-4*z**2*(z + 6)/7
Let k be 0 + 11 - 4969597/447745. Let q = 1/1202 - k. Find r, given that 11/5*r - 121/10 - q*r**2 = 0.
11
Suppose -116 = -7*x - 18. Suppose -x*f + 10 = -9*f. What is s in f*s**3 + 29 - 32 - s**2 - 5*s - s**3 = 0?
-1, 3
Suppose 2*w = -d - 4, w + 2 = d - 3. Factor 4805 + 325*i + 6*i**2 - 39*i - i**d + 24*i.
5*(i + 31)**2
Let m(p) = p**2 + 15374*p + 30748. Let t be m(-2). Factor 0 - 18/13*y**t - 60/13*y**3 - 88/13*y**2 - 2/13*y**5 - 48/13*y.
-2*y*(y + 2)**3*(y + 3)/13
Let g = 86219/153 + -5062/9. Let q = 24/17 - g. Let -q*d**4 - 1/3*d**2 + 0 + 2/3*d**3 + 0*d = 0. Calculate d.
0, 1
Let g(h) be the second derivative of h**5/20 + 31*h**4/12 + 287*h**3/6 + 833*h**2/2 - 4*h + 25. Solve g(a) = 0 for a.
-17, -7
Suppose 362*b - 45675 = -44951. Find i such that 8/7*i + 0 + 0*i**b - 2/7*i**3 = 0.
-2, 0, 2
Let t = -50 + 52. Factor -y**3 - 3 + 5*y - t + 2*y**3 - 4*y**2 + 3.
(y - 2)*(y - 1)**2
Let r = 754414/5 + -150882. Suppose -2/5*n**4 - 4/5*n**3 + r*n + 2/5*n**2 + 0 = 0. Calculate n.
-2, -1, 0, 1
Let c(r) be the second derivative of 5/11*r**2 + 13/110*r**5 + 33*r - 1/33*r**6 + 0 + 0*r**4 - 23/66*r**3 - 1/154*r**7. Suppose c(j) = 0. Calculate j.
-5, -1, 2/3, 1
Suppose -9*w + 47 = -7. Let m be (-774)/(-215) + w/(-10). Factor 0*q + 0*q**m + 0 + 1/3*q**4 - 1/3*q**2.
q**2*(q - 1)*(q + 1)/3
Let h(s) = -s**3 - 10*s**2 + 40*s + 15. Suppose 20 = -2*f - 3*j, 3*j - 4*j - 63 = 5*f. Let p be h(f). Factor -16/5*n**3 + 2/5*n**4 + 36/5*n**p - 32/5*n + 2.
2*(n - 5)*(n - 1)**3/5
Let w be 1 - 6 - 516/20*(-9)/27. Factor -w*d**3 + 3/5*d**4 + 66/5*d + 9 + 0*d**2.
3*(d - 5)*(d - 3)*(d + 1)**2/5
Suppose -b + 78 - 71 = 0. Suppose 0 = 5*w + 5*j - 40, 0 = 3*w + b*j - 2*j - 26. Factor -w*u + 0*u**2 - u**2 + 3*u + 0 - 3.
-(u + 1)*(u + 3)
Let f(q) be the second derivative of 2*q**6/5 + 17*q**5/5 + 31