1)**2*(r + 1)
Let h be 31/7 - (-4)/7. Suppose -j**h - 5*j**3 - 19*j**2 - 14*j**5 + 25*j**4 + 14*j**2 = 0. What is j?
-1/3, 0, 1
Let v = -1960 + 1962. Factor 2/3*h + 0 - 1/6*h**v.
-h*(h - 4)/6
Let t(c) be the first derivative of c**7/56 + 3*c**6/160 - c**5/40 + 9*c**2 - 9. Let o(n) be the second derivative of t(n). Factor o(f).
3*f**2*(f + 1)*(5*f - 2)/4
Let j = -666 - -1333/2. Let n(l) be the first derivative of -7 + j*l**3 + 0*l + 9/4*l**2. Solve n(s) = 0.
-3, 0
Let p(i) be the first derivative of 25/8*i**2 - 25/8*i**4 - 5/2*i + 5/2*i**5 + 0*i**3 - 5/8*i**6 + 9. Factor p(c).
-5*(c - 1)**4*(3*c + 2)/4
Factor 157*p**3 - 137*p**3 + 20*p**4 + 30*p - 5*p**4 - 65*p**2.
5*p*(p - 1)*(p + 3)*(3*p - 2)
Let b(x) be the second derivative of x**4/72 + x**3/12 - x**2/3 - 38*x - 2. Find t such that b(t) = 0.
-4, 1
Let d(m) be the first derivative of 9*m**2/2 - 8*m + 7. Let p be d(3). Let 8*s + p - 24*s - 3 + 4*s**2 = 0. What is s?
2
Let g(j) be the first derivative of -j**3/3 + 5*j**2 - 25*j + 222. Factor g(w).
-(w - 5)**2
Let g be 9 - (2 + -15 - -7). Solve 20 + 30*d + g*d**2 + 5/2*d**3 = 0 for d.
-2
Let f be -1 + -1 + (-185)/(-90). Let v(i) be the first derivative of 2/45*i**5 + 7 - f*i**4 + 0*i**2 + 0*i + 1/27*i**6 - 2/27*i**3. Factor v(u).
2*u**2*(u - 1)*(u + 1)**2/9
Suppose -2*l - 64 = -10*l. Let y be 1/(-2) + 20/l. Let 2/3*d**3 + 0 - 4/3*d + 2/3*d**y = 0. Calculate d.
-2, 0, 1
Suppose -4*r + 3*h = -2*h + 13, r = -h + 8. Factor -4*x + 19*x - r*x**2 - 3 - 9*x.
-3*(x - 1)**2
Let h = -64 + 68. Let c(w) be the second derivative of -1/60*w**5 + 0*w**h + 0*w**2 + 1/18*w**3 + 0 - 5*w. Solve c(o) = 0.
-1, 0, 1
Let k = -3507/8 + 3517/8. What is u in 11/4*u - k*u**3 - 3/2 + 3*u**2 = 0?
-1, 2/5, 3
Let s = -18 - -20. Let y(a) be the first derivative of -a + a**3 - 3*a**2 - a**2 - 8 + a**s + 4*a**2. Let y(z) = 0. Calculate z.
-1, 1/3
Let h = 2602 + -2602. Factor 2/7*d**3 - 2/7*d**4 + 0*d + h + 0*d**2.
-2*d**3*(d - 1)/7
Let a(y) = -2*y**3 - 245*y**2 + 5*y - 15. Let x(b) = 2*b**3 + 123*b**2 - 3*b + 9. Let f(h) = -3*a(h) - 5*x(h). Determine i so that f(i) = 0.
0, 30
Suppose -4*h**2 - 1/3*h**4 + 0 + 10/3*h**3 - 24*h = 0. Calculate h.
-2, 0, 6
Suppose -2*r - 26 = -4*r - 4*t, 0 = -3*r - t + 24. Factor -r*f**2 + 12*f - 19 + 11 + 3*f**2.
-4*(f - 2)*(f - 1)
Let 4 - 40 - 3*n**3 - 5*n**2 + 39*n + 6 - n**2 = 0. What is n?
-5, 1, 2
Let v = -40242 - -441850/11. Let s = v + 74. Factor 0 - 2/11*g**4 + 2/11*g**2 - s*g**3 + 2/11*g.
-2*g*(g - 1)*(g + 1)**2/11
Let u(f) be the second derivative of -f**4/48 - 7*f**3/12 + 21*f. Let u(t) = 0. What is t?
-14, 0
Factor -40*t**3 + 9211 - 4776 + 4314 + 45*t**3 + 3751 + 270*t**2 + 4125*t.
5*(t + 4)*(t + 25)**2
Solve 1/3*b**4 - 20*b**3 + 841/3 - 580*b + 958/3*b**2 = 0.
1, 29
Let p(o) be the second derivative of -o**6/60 + 2*o**5/15 - o**4/4 - 13*o**2/2 - o. Let t(a) be the first derivative of p(a). Factor t(d).
-2*d*(d - 3)*(d - 1)
Let n(g) be the first derivative of 11*g**3/12 + 101*g**2/8 + 9*g/2 - 107. Find p such that n(p) = 0.
-9, -2/11
Let j(o) be the third derivative of o**7/5670 + o**6/324 + o**4/24 + 8*o**2. Let c(a) be the second derivative of j(a). Factor c(f).
4*f*(f + 5)/9
Suppose -4588*x = -4590*x. Factor 0 + 0*i**4 + x*i**2 - 6/7*i**3 + 3/7*i + 3/7*i**5.
3*i*(i - 1)**2*(i + 1)**2/7
Let j(h) = -18*h - 80. Let b be j(-6). Suppose b*i - 43*i = 0. Factor i - 1/4*p**2 + 3/4*p.
-p*(p - 3)/4
Suppose 0 + 2/7*f**2 - 6/7*f = 0. Calculate f.
0, 3
Let u(j) be the third derivative of -7*j**2 + 0*j + 0 + 0*j**3 + 1/40*j**5 - 1/672*j**8 - 7/240*j**6 + 0*j**4 + 1/84*j**7. Find y such that u(y) = 0.
0, 1, 3
Let c(p) be the third derivative of -p**8/112 + 3*p**7/280 + p**6/32 - 3*p**5/80 - p**4/32 + 150*p**2. Solve c(j) = 0 for j.
-1, -1/4, 0, 1
Factor -72/5*c + 0 - 2/5*c**4 - 22/5*c**3 - 72/5*c**2.
-2*c*(c + 2)*(c + 3)*(c + 6)/5
Let y(f) be the first derivative of -f**4/6 - 3*f**3 - 8*f**2 - 38*f + 16. Let p(x) be the first derivative of y(x). Determine u so that p(u) = 0.
-8, -1
Let b(q) be the first derivative of -q**4/2 - 24*q**3 - 432*q**2 - 3456*q + 16. Suppose b(r) = 0. What is r?
-12
Let b(l) be the second derivative of -l**6/60 - 17*l**5/40 + 5*l**4/2 - 694*l. Factor b(p).
-p**2*(p - 3)*(p + 20)/2
Factor -9/5*r**2 + 3/5*r**4 + 3/5*r**3 + 6/5 - 3/5*r.
3*(r - 1)**2*(r + 1)*(r + 2)/5
Let g(l) be the first derivative of -1/14*l**4 + 0*l**3 + 0*l - 2 + 0*l**2 - 1/35*l**5. Factor g(q).
-q**3*(q + 2)/7
Suppose -638*m + 12*m**2 + 1235*m + 30*m**3 + 9*m**4 - 621*m = 0. What is m?
-2, 0, 2/3
Factor -49*b - 45*b - 30*b + 15*b**2 + 9*b - 25*b + 5*b**3.
5*b*(b - 4)*(b + 7)
Let v(p) be the third derivative of p**7/42 - p**6/24 - p**5/3 + 5*p**4/6 + 3*p**2 - 10. Find f, given that v(f) = 0.
-2, 0, 1, 2
Factor -1/4*t**4 + 4*t - 3/2*t**2 + 0 - 9/4*t**3.
-t*(t - 1)*(t + 2)*(t + 8)/4
Let x(p) be the second derivative of 5/8*p**2 + 9/16*p**3 + 25/96*p**4 + 0 + 1/240*p**6 + 9/160*p**5 + 3*p. Factor x(b).
(b + 1)**2*(b + 2)*(b + 5)/8
Let r = 7 + -5. Let c be r/5 + (-803)/(-55). Factor c*a - 6 - 12*a**2 + 4 + a**3 + 2*a**3 - 4.
3*(a - 2)*(a - 1)**2
Let j(h) be the second derivative of h**7/126 - 3*h**6/10 + 97*h**5/30 - 199*h**4/18 - 65*h**3/6 + 425*h**2/6 + 1056*h. Suppose j(c) = 0. What is c?
-1, 1, 5, 17
Let p = -25 + 27. Determine a, given that a**p + 9*a**4 - a**3 - 2*a**2 + a - 8*a**4 = 0.
-1, 0, 1
Let q(d) be the second derivative of 2*d**7/147 - 2*d**6/105 - d**5/7 + 5*d**4/21 + 8*d**3/21 - 8*d**2/7 - 178*d. What is b in q(b) = 0?
-2, -1, 1, 2
Suppose 2*k - k - 5 = 0, 5*y + 2*k - 20 = 0. Let w = y + -24/13. Factor 2/13*h**2 + w*h + 0.
2*h*(h + 1)/13
Let f(o) = o**3 + o**2 - 3. Let v(z) = -z**2 + 1. Let q(t) = -t**2 - 3*t - 4. Let c be q(-3). Let i(r) = c*f(r) - 12*v(r). Let i(x) = 0. Calculate x.
0, 2
Let u(r) = -2*r**3 + r**2 + r + 1. Let x(m) = -7*m**3 + 16*m + 18. Let b(f) = 6*u(f) - 2*x(f). Let b(k) = 0. Calculate k.
-5, -1, 3
Let p(q) be the second derivative of 0 + 2/57*q**3 + 7/190*q**5 + 0*q**2 - 22*q + 3/38*q**4. Factor p(d).
2*d*(d + 1)*(7*d + 2)/19
Let b = -13 - 13. Let g = -15 - b. Factor -5*z**2 - g*z**2 + 8*z - 4 + 12*z.
-4*(z - 1)*(4*z - 1)
Suppose 67*x - 57 = 144. Find w, given that 2/11*w + 0 + 4/11*w**2 + 2/11*w**x = 0.
-1, 0
Let u = -1/260 + 67/520. Let w(l) be the first derivative of -1/24*l**3 - u*l**2 + 1/16*l**4 - 4 + 1/8*l. Factor w(y).
(y - 1)*(y + 1)*(2*y - 1)/8
Let c(x) = -x**3 - 8*x**2 - 9*x - 10. Let q(k) = -2*k + 7. Let f be q(7). Let p be c(f). Factor 2*u**4 + 3*u**p - 5*u**2 - 2*u**4 + 2*u**2.
3*u**2*(u - 1)*(u + 1)
Let t(k) = 7*k + 6. Let z be t(3). Determine v so that 24*v - 21*v**4 - 19 + 19 - 78*v**3 - z*v**2 - 33*v**2 = 0.
-2, 0, 2/7
Let b(w) be the first derivative of -w**7/105 + w**6/15 - w**5/6 + w**4/6 - 5*w**2 - 14. Let k(t) be the second derivative of b(t). Find v, given that k(v) = 0.
0, 1, 2
Suppose -40 = -95*a + 85*a. Let s(u) be the second derivative of -1/80*u**5 - 1/48*u**a + 1/8*u**2 + 0 - 2*u + 1/24*u**3. Find n, given that s(n) = 0.
-1, 1
Let z(o) be the second derivative of -o**4/3 + 124*o**3/3 - 1922*o**2 + 52*o - 2. Factor z(i).
-4*(i - 31)**2
Let m(w) = 189*w**3 - 918*w**2 - 1329*w - 222. Let q(l) = 27*l**3 - 131*l**2 - 190*l - 32. Let o(r) = 2*m(r) - 15*q(r). Determine y so that o(y) = 0.
-1, -2/9, 6
Let o(x) be the first derivative of 2*x**3 + 3/2*x**2 - 13 + 0*x + 3/4*x**4. Factor o(n).
3*n*(n + 1)**2
Let t(b) = -b**3 - 2*b**2 + 3*b + 4. Let k be t(-3). Factor 313*u**2 + 6*u**k - 297*u**2 + 14*u**4 + 4*u**5 + 32*u**3.
4*u**2*(u + 1)*(u + 2)**2
Let v be (-5136)/(-21) - (-6 - (-230)/35). Let h = v + -244. Find k such that h - 1/3*k + 1/3*k**2 = 0.
0, 1
Let o be 2 - (2 + (0 - 3)). Factor -10*j**o + 15*j**3 + 59*j**3 + 16*j**2 + 28*j**4.
4*j**2*(j + 2)*(7*j + 2)
Let o = 566/273 - 14/39. Let o*x**2 - 8/7*x**3 - 4/7*x**4 + 16/7 + 32/7*x = 0. Calculate x.
-2, -1, 2
Let -2/7*h**4 + 40/7*h + 0*h**2 + 32/7 - 10/7*h**3 = 0. What is h?
-4, -2, -1, 2
Suppose -7*t = -t - 12. Find n such that 14 - 4*n**t + 10 + 4*n**2 + 4*n - 4*n**2 = 0.
-2, 3
Let x(l) be the second derivative of l**4/108 + l**3/18 + 3*l + 6. Factor x(i).
i*(i + 3)/9
Let d(k) be the first derivative of 25*k**3 + 11*k - 16*k**3 + 5*k + 28 - 13*k**3 - k**4. Determine n, given that d(n) = 0.
-2, 1
Let m = -10 + 14. Let x(q) = -q**3 + q**2 + 3