 377*d - 4800 = -74*d. Let j(h) be the first derivative of d - 12/7*h - 9/14*h**2 + 1/7*h**3. Solve j(i) = 0 for i.
-1, 4
Let s(t) = -6*t**3 - 283*t**2 + 1595*t - 2356. Let w(u) = -8*u**3 - 282*u**2 + 1590*u - 2352. Let v(z) = 6*s(z) - 5*w(z). Factor v(g).
4*(g - 66)*(g - 3)**2
Let j(s) = 5*s**3 - 140*s**2 - 100*s + 2802. Let d be j(28). Factor 2/9*n**d + 0*n - 2.
2*(n - 3)*(n + 3)/9
Let t(z) be the third derivative of -z**7/70 - 1007*z**6/40 - 16884*z**5 - 4699296*z**4 + 18966528*z**3 + z**2 - 241*z + 3. Factor t(n).
-3*(n - 1)*(n + 336)**3
Suppose -1374*o**3 + 99 + 436*o**2 - 1413*o**3 + 2835*o**3 - 8*o**5 - 44*o**4 + 160*o - 291 = 0. What is o?
-4, -1, 1/2, 3
Factor 0 - 8/13*l**2 + 50/13*l.
-2*l*(4*l - 25)/13
Suppose 268*f - 618*f + 2344*f = -1635*f + 10887. Solve 2/9*d**f + 2/3*d**5 - 26/9*d**4 - 8/9*d + 0 + 26/9*d**2 = 0 for d.
-1, 0, 1/3, 1, 4
Let n(l) = -l**2 - l - 23 - l**3 - 19 + 41. Let w(i) = 16*i**3 + 30*i**2 - 4*i + 14. Let f(h) = -28*n(h) - 2*w(h). What is j in f(j) = 0?
-9, 0, 1
Let j(l) be the second derivative of -l**6/96 - 7*l**5/48 - 25*l**4/48 + 47*l**2 - l + 1. Let k(p) be the first derivative of j(p). Factor k(h).
-5*h*(h + 2)*(h + 5)/4
Let o = -15092 + 362215/24. Let j(f) be the second derivative of o*f**3 + 1/48*f**4 + 0 + 31*f - f**2. Solve j(t) = 0.
-8, 1
Find d such that 1538238/7*d - 2024/7*d**2 + 2/21*d**3 - 9205156/21 = 0.
2, 1517
Let z be (-20)/(-5)*((-14)/(-40) + 38/(-152)). Let m be 2/15 + (-6)/(-90). Determine u so that 3/5 + z*u - m*u**2 = 0.
-1, 3
Let j = 839065/2 - 419527. Suppose -j*r**2 + 6 + 32*r = 0. Calculate r.
-2/11, 6
Let v(s) be the second derivative of -s**6/10 + 123*s**5/20 - 44*s - 18. Let v(i) = 0. Calculate i.
0, 41
Let j(g) be the third derivative of g**6/480 + 3*g**5/20 - 715*g**4/96 - 125*g**3/4 - 5399*g**2. Solve j(t) = 0.
-50, -1, 15
Let f(l) = -2*l**2 - 24*l + 29. Let g = -1 + -12. Let u be f(g). Suppose 6*a**4 - 14*a**2 - 3*a**4 + 8 - 6*a**3 + 10*a**3 - u*a**3 - 4*a = 0. Calculate a.
-2, -1, 2/3, 2
Factor 49*m + 4*m**3 + 575153*m**2 + 15 - 5*m**3 - 575151*m**2 - 113.
-(m - 7)*(m - 2)*(m + 7)
Suppose j = 3*i + 22, -i + 4*j - 26 = -4. Let s be 30/(-35) - i/4*4. Factor s + 48/7*h - 8/7*h**2 + 4/7*h**4 - 16/7*h**3.
4*(h - 3)**2*(h + 1)**2/7
Let m be (-6)/(-22) + 5027823/52965. Solve -284/5*x**3 - 16 - 696/5*x**2 - m*x + 16/5*x**4 = 0.
-1, -1/4, 20
Let y(c) be the second derivative of -1/42*c**4 + 47 - 3*c - 1/3*c**3 - 10/7*c**2. Determine f so that y(f) = 0.
-5, -2
Let d = 18478 + -18476. Factor -1/2*c**2 - d*c - 2.
-(c + 2)**2/2
Let z(y) = 11*y**2 + 4*y - 11. Let i be z(-5). Let -34*f**4 + 5*f**5 + 115*f**2 - 80 + 204*f - f**4 + 35*f**3 - i*f = 0. Calculate f.
-1, 1, 4
Let z(a) = -a**3 + 11*a**2 - 4*a - 16. Let d be z(11). Let j be -2 + 1/((-25)/d). Solve 0 - j*f + 1/5*f**2 + 2/5*f**3 - 1/5*f**4 = 0 for f.
-1, 0, 1, 2
Let t be (4 + (-52)/10)/((-4)/30). Let z = t + -5. Determine d so that -6 - 10*d**3 + 10*d**2 + 0 - 9*d**z + 10*d + 3*d**4 + 2 = 0.
-2, -1, 1/3, 1
Let n(v) = 75*v**2 + 218*v + 361. Let u(h) = 224*h**2 + 656*h + 1076. Let m(s) = 44*n(s) - 15*u(s). Factor m(l).
-4*(l + 2)*(15*l + 32)
Let s(t) be the first derivative of t**6/40 - 3*t**5/16 + 30*t + 34. Let p(o) be the first derivative of s(o). Find c, given that p(c) = 0.
0, 5
Let m(t) be the second derivative of -t**4/8 - 103*t**3/4 - 759*t**2 + t + 987. What is f in m(f) = 0?
-92, -11
Factor 0 - 28*q - 2/7*q**2.
-2*q*(q + 98)/7
Suppose -3*c + 12 = 0, 15*c - 33 = -5*v + 18*c. Suppose -w + 12 = 2*h, h + w = v - 1. Factor 0 - 1/3*k**3 + 0*k - 5/3*k**h + 0*k**2.
-k**3*(5*k + 1)/3
Suppose 0 = -2*s + 23 - 7. Suppose 4*m = 4*n + 16, 5*n + 3*m - 4 = 8. Suppose -13*z + 4*z**2 + z + s + n*z**2 = 0. What is z?
1, 2
Let i(k) be the second derivative of k**6/75 - 9*k**5/25 - k**4/30 + 6*k**3/5 - k + 1321. Solve i(x) = 0.
-1, 0, 1, 18
Suppose 115 + 4605 = 8*g. Determine b so that 2 + 24*b**2 - 2 - 3*b + 542*b**3 - g*b**3 = 0.
0, 1/4
Suppose -4*l = -8*l + 12. Let h(c) = c**3 + 70*c**2 - 142*c + 147. Let r be h(-72). Factor t - 4*t**2 + l*t + 4*t**4 - 5*t**3 - 2*t**r + 3*t**3.
4*t*(t - 1)**2*(t + 1)
Let l = -231767/705 - -15495/47. Factor l*u**2 + 0 + 4/15*u.
2*u*(7*u + 2)/15
Suppose 15*f + 252 = 57*f. Let k be 15/f - 51/22. What is d in -k*d**4 + 2/11*d**2 - 4/11*d**3 + 0 + 4/11*d = 0?
-2, -1, 0, 1
Factor -154*t**4 + 48*t**2 + 151*t**4 - 36*t**2.
-3*t**2*(t - 2)*(t + 2)
Let r(w) be the first derivative of 5*w**4 - 89 - 16*w - 4/5*w**5 - 8*w**2 - 2/3*w**6 + 20/3*w**3. Let r(x) = 0. Calculate x.
-2, -1, 1, 2
Let j(w) be the second derivative of w**6/720 - 7*w**5/48 - 25*w**3/3 - 3*w. Let x(d) be the second derivative of j(d). Solve x(i) = 0 for i.
0, 35
Let g = -109241/180 + 27344/45. Solve -3*m**2 + 3*m + 0 + 3/4*m**4 - g*m**3 = 0.
-2, 0, 1, 2
Let b be 14 - (-3*(-1)/(-1) - 1). Suppose 42 - b = 6*f. Let 0*m**5 + 0*m**5 - m**5 - 46*m**3 - 8*m**2 + 56*m**3 - m**f = 0. Calculate m.
-4, 0, 1, 2
Let r(b) be the second derivative of -3*b**2/2 + b. Let i(u) = u**2 + u + 1. Suppose -11*v + 19 = 8*v. Let m(h) = v*r(h) + 3*i(h). What is j in m(j) = 0?
-1, 0
Let c(z) be the second derivative of -32*z**6/45 - 83*z**5/15 - 79*z**4/9 - 8*z**3/3 - 5201*z. Determine m, given that c(m) = 0.
-4, -1, -3/16, 0
Let q(w) be the third derivative of 0 + 0*w + 1/280*w**6 - 6/7*w**3 - 1/7*w**4 + 1/140*w**5 - 8*w**2. Suppose q(b) = 0. What is b?
-2, 3
Let z = 153/2470 + 7/1482. Let y(f) be the second derivative of -1/135*f**6 + 0*f**3 + z*f**5 - 27*f + 0 - 1/6*f**4 + 0*f**2. Let y(s) = 0. What is s?
0, 3
Factor 0 + 0*u - 1/4*u**2.
-u**2/4
What is p in -15*p**2 + 755 + 32957*p + 16*p**2 - 32801*p = 0?
-151, -5
Let n(l) be the first derivative of l**6/18 + 2*l**5/15 - 5*l**4/4 - 32*l**3/9 - 8*l**2/3 + 1081. Factor n(p).
p*(p - 4)*(p + 1)**2*(p + 4)/3
Let k(o) be the second derivative of 0*o**3 + 0 - 1/60*o**5 - 114*o + 0*o**2 + 4/3*o**4. What is m in k(m) = 0?
0, 48
Solve 22*x + 3*x + 9903 + 5*x**2 - 19785 + 9902 = 0 for x.
-4, -1
Let a(g) be the first derivative of 6*g**5/55 + g**4/22 - 388*g**3/33 - 64*g**2/11 + 256*g/11 + 8228. Find u, given that a(u) = 0.
-8, -1, 2/3, 8
Let z = -4733 + 14200/3. Let j(p) be the third derivative of -5/8*p**4 + 0 + z*p**5 + p**2 + 1/24*p**6 + 0*p - 15*p**3. Factor j(n).
5*(n - 2)*(n + 3)**2
Let w = -2902 + 1987. Let z = w - -917. What is f in 0*f + 1/3*f**5 - f**4 + 0*f**z + 2/3*f**3 + 0 = 0?
0, 1, 2
Let m(s) = 5*s**2 - 149*s + 2888. Let l = 609 + -603. Let r(q) = 9*q**2 - 299*q + 5776. Let p(t) = l*r(t) - 10*m(t). Find v, given that p(v) = 0.
38
Let z be ((-6)/4)/(3/(-6)). Suppose 4*t = -z + 39. Factor t*g**2 - 1 + 5 - 5*g**2 + 8*g.
4*(g + 1)**2
Let y(c) be the first derivative of c**8/336 - c**6/120 - 37*c**2/2 + c + 5. Let o(d) be the second derivative of y(d). Let o(j) = 0. Calculate j.
-1, 0, 1
Suppose 467*q - 232 = 351*q. Let h be 36/63*(-7)/(-6). Find s such that 2/3*s + h*s**q + 0 = 0.
-1, 0
Let u be (-3 + 3 + -4 + (-4018)/(-1008))/(-10). Let g(j) be the third derivative of u*j**6 + 7*j**2 + 0*j + 0*j**3 + 1/144*j**4 + 0 + 1/180*j**5. Factor g(v).
v*(v + 1)**2/6
Let d(p) = -p**3 + 5*p**2 - 13. Let b be d(4). Suppose -70*n**b - 2*n + 9*n + 15*n**5 + 33*n + 5*n**4 - 20*n**2 = 0. Calculate n.
-2, -1, 0, 2/3, 2
Determine z, given that 3677472/7 + 5424/7*z + 2/7*z**2 = 0.
-1356
Let d(t) be the third derivative of 9/40*t**6 + 0 + t**2 - 1/56*t**8 - 167*t + 1/2*t**4 + 0*t**3 - 13/210*t**7 + 2/3*t**5. Find w such that d(w) = 0.
-3, -2/3, -1/2, 0, 2
Let v(c) = c**3 + 15*c**2 + 49*c - 6. Let g be v(-10). Suppose -4*j - g = 4*t, -5*j = 17 + 3. Factor -14/15*z**2 + 4/15*z + 0 + 2/3*z**t.
2*z*(z - 1)*(5*z - 2)/15
Suppose -5*q + 0*z + 25 = -5*z, q + 3*z = -7. Let n(f) be the first derivative of -1/3*f**q - 1/18*f**3 + 0*f - 9. Find x such that n(x) = 0.
-4, 0
Let i(r) be the first derivative of 4/55*r**5 + 13/22*r**4 + 0*r + 0*r**2 + 35 + 4/11*r**3. Factor i(z).
2*z**2*(z + 6)*(2*z + 1)/11
Let l be (-3921)/(-135) + (-54)/1215 - -7. Let 75 + 30*h - l*h**2 - 3/5*h**4 + 42/5*h**3 = 0. What is h?
-1, 5
Find s, given that 43/11*s**2 + 196/11*s + 1/11*s**3 + 228/11 = 0.
-38, -3, -2
Let t(z) be the third derivative of -z**7/126 + 5*z**6/72 + 7*z**5/9 - 20*z**4/9 - 137*z**2. Factor t(o).
-5*o*(o - 8)*(o - 1)*(o + 4)/3
Let q = 72 + -69. Factor -h*