Factor h(q).
2*(q + 2)*(q + 4)*(3*q - 1)/11
Suppose 47*x - 34*x - 26 = 0. Factor 716*a**2 - 2 - 1449*a**2 + 708*a**x + 5*a**3 + 2.
5*a**2*(a - 5)
Let i = -2/174533 - -6806795/698132. Factor i - 3/8*j**2 + 75/8*j.
-3*(j - 26)*(j + 1)/8
Suppose 12 - 22/5*m - 2/5*m**4 + 22/5*m**3 - 58/5*m**2 = 0. What is m?
-1, 1, 5, 6
Let u(y) be the second derivative of y**6/210 + y**5/10 - 67*y**4/84 + 44*y**3/21 - 18*y**2/7 - 248*y. Suppose u(h) = 0. What is h?
-18, 1, 2
Let w be -2*10*(15/20 + -1). Factor w*u**2 - 33 - 30 + 63 - 5*u**3 + 30*u.
-5*u*(u - 3)*(u + 2)
Let l(t) = -2*t**4 - 2*t**3 + t**2 + t. Let o(b) = 3*b**4 - 138*b**3 + 627*b**2 - 1005*b + 432. Let u(q) = -3*l(q) + o(q). Factor u(h).
3*(h - 6)**2*(h - 2)*(3*h - 2)
Let p(c) be the third derivative of c**6/40 - 2287*c**5/20 + 1308735*c**4/8 - 1306449*c**3/2 + 688*c**2. Determine k, given that p(k) = 0.
1, 1143
Suppose -2*p - 235 = -5*s, -2*p = -5*s + 2*s + 237. Let b be -1 - 58/(-24) - p/(-160). What is o in b*o**3 + 0 - 2/3*o + 0*o**2 = 0?
-1, 0, 1
Let d(n) be the second derivative of -n**7/42 + 2*n**6/3 + 24*n**5/5 + 4*n**4/3 - 184*n**3/3 - 192*n**2 - 2*n + 1137. What is h in d(h) = 0?
-2, 2, 24
What is u in 5*u**4 - 8*u**4 - 2*u**5 - 7*u**4 + 648 + 930*u**2 - 4801*u**3 + 4931*u**3 + 1440*u = 0?
-6, -1, 9
Suppose -x + 165 = -5*d + 2*x, -2*d - 3*x - 45 = 0. Let g be d/(-9) - 1/3. Suppose -5*c**4 + 4*c**5 - 7*c**g - 3*c**3 + 11*c**5 = 0. What is c?
-2/3, 0, 1
Let b(i) be the third derivative of i**5/240 + 29*i**4/4 + 5046*i**3 + 171*i**2 + 8*i. Factor b(y).
(y + 348)**2/4
Solve -7/4*f**2 - 1/4*f**5 + 4 - 9/4*f**4 + 6*f - 23/4*f**3 = 0.
-4, -1, 1
Suppose 67*z - 80*z = -229*z + 432. Factor 9/7*m**3 - 9/7*m + 6/7 - 6/7*m**z.
3*(m - 1)*(m + 1)*(3*m - 2)/7
Let u be (38564/(-806) - -48)/(2/1048). Let u*m**3 - 1134/13*m**5 - 576/13*m**4 + 86/13*m + 4/13 + 44*m**2 = 0. Calculate m.
-1, -2/7, -1/9, 1
Let c = -134257/10 - -13426. Let m(h) be the second derivative of c*h**5 + 0 + 5/4*h**4 - 3*h**2 + 1/2*h**3 + 2*h. Factor m(k).
3*(k + 1)*(k + 2)*(2*k - 1)
Let r = 634039/2 + -316946. Suppose r - 21*v + 3/2*v**2 = 0. What is v?
7
Let f(n) be the third derivative of -n**8/392 + 9*n**7/245 - 17*n**6/140 - 9*n**5/70 + 9*n**4/14 + 5*n**2 - 30. Let f(g) = 0. What is g?
-1, 0, 1, 3, 6
Let o(j) be the first derivative of -j**3/2 + 1641*j**2/2 + 3285*j/2 + 2542. Factor o(i).
-3*(i - 1095)*(i + 1)/2
Let o(t) be the first derivative of 5*t**3/3 + 5*t**2 - 715*t - 231. Factor o(q).
5*(q - 11)*(q + 13)
Let a(s) be the first derivative of s**6/3 + 29*s**5/10 - 105*s**4/8 + 26*s**3/3 + 5*s**2 + 2868. Let a(m) = 0. What is m?
-10, -1/4, 0, 1, 2
Let d(h) be the second derivative of 0*h**3 + 24 + 0*h**2 + 1/60*h**5 + 2*h + 0*h**4. Factor d(v).
v**3/3
Let c = 175 + -148. Let f be 135/75 - c/15. Determine y so that -12/11*y**3 + f + 8/11*y**4 + 8/11*y**2 - 2/11*y - 2/11*y**5 = 0.
0, 1
Let h(z) = 2*z**3 + z - 1. Let a(q) = -15*q**3 - 1014*q**2 - 12381*q - 3459. Let g = 523 - 522. Let o(b) = g*a(b) - 3*h(b). Factor o(x).
-3*(x + 24)**2*(7*x + 2)
Find h, given that -12/7*h + 0 - 15/7*h**3 + 36/7*h**2 = 0.
0, 2/5, 2
Let y = -601 - -605. Factor -q**y + 70*q**2 + 28 + 10*q**3 + 35*q**3 - 28 + 6*q**4.
5*q**2*(q + 2)*(q + 7)
Let i = 4657 - 4634. Let x(b) be the second derivative of -1/10*b**6 + 3/20*b**5 + 0 + 0*b**2 + 1/4*b**4 - 1/2*b**3 - i*b. Factor x(z).
-3*z*(z - 1)**2*(z + 1)
Let m(p) = p**5 - 2*p**4 - p**3 + 3*p**2 + 2*p + 1. Let f(x) = 2*x**5 + 8*x**4 - 7*x**3 - 65*x**2 - 81*x - 29. Let h(u) = f(u) - m(u). What is v in h(v) = 0?
-10, -1, 3
Let f = -18935 - -18938. Let t(k) be the first derivative of 8/3*k**f + 0*k**2 - 6 + 0*k - 17/5*k**4 + 12/25*k**5. Determine q, given that t(q) = 0.
0, 2/3, 5
Let j be (7/(-2))/(25/(-8800)). Let g = 8628/7 - j. Determine c so that g*c**4 + 4/7*c**2 + 12/7*c**3 - 12/7*c - 8/7 = 0.
-2, -1, 1
Let m(s) be the third derivative of 2533*s**7/210 + s**6/60 + 15*s**2 + 2*s - 28. Factor m(t).
t**3*(2533*t + 2)
Let v = 8681/3 - 2892. Let m(u) be the first derivative of 30*u - 23 + v*u**3 + 25/2*u**2. Determine q, given that m(q) = 0.
-3, -2
Let c(w) = -6*w**3 + 46*w**2 - 96*w - 142. Let j(f) = -f**3 + f**2 + 1. Suppose 3*r - 15 = -21. Let o(x) = r*j(x) + c(x). Factor o(l).
-4*(l - 6)**2*(l + 1)
Let g be (0/(-2 + 6))/(-94 + 91). Factor g*a**2 + 24 - 3/2*a**3 + 18*a.
-3*(a - 4)*(a + 2)**2/2
Let a be 6/(-4)*(-36)/(-27). Let q(x) = -4*x - 5. Let j be q(a). Factor 3*t**4 - 4*t**j + 4*t**4 - 5*t**4 + 2*t**2.
2*t**2*(t - 1)**2
Suppose 432/5*a - 646/15*a**2 - 4/15*a**3 - 216/5 + 2/15*a**4 = 0. What is a?
-18, 1, 18
Let h(t) be the second derivative of t**7/70 - t**6/10 - t**5/4 - 27*t**2/2 + 37*t. Let g(x) be the first derivative of h(x). Factor g(l).
3*l**2*(l - 5)*(l + 1)
Suppose 6*r = -11 + 23. Suppose -41*g**3 - 3*g**3 - 55*g**2 - 4*g + 20*g - 25*g**r = 0. What is g?
-2, 0, 2/11
Suppose 306*s - 34 - 473 - 105 = 0. Factor 2/5*p**s + 4/5 - 6/5*p.
2*(p - 2)*(p - 1)/5
Suppose -43 + 19*a + 31*a + 8*a**2 + 127 + 48 + 50*a = 0. What is a?
-11, -3/2
Determine b, given that 224/15 - 36/5*b - 2/15*b**2 = 0.
-56, 2
Let h(a) be the first derivative of 46 + 0*a - 5*a**2 - 1/3*a**3. Let h(i) = 0. Calculate i.
-10, 0
Let p be 13/39 + 2/(-6). Suppose -2*v + p*v + 10 = 0. Find x such that 957*x - 5 - 957*x + v*x**2 = 0.
-1, 1
Let u(w) be the first derivative of -w**3 + 2712*w**2 - 2451648*w + 1284. Factor u(p).
-3*(p - 904)**2
Factor -56/3*d**3 + 207646/15 - 194392/15*d - 2/15*d**4 - 4324/5*d**2.
-2*(d - 1)*(d + 47)**3/15
Let d(z) be the third derivative of 0 - 11/6*z**4 - 12*z**3 + 0*z - 1/15*z**5 + 17*z**2. Factor d(x).
-4*(x + 2)*(x + 9)
Suppose 12 - 40 = -7*y. Suppose 5*i + 5*o = 15, y*i + 3*o - 8*o - 21 = 0. Solve i + 2*g - 3*g - 2*g**2 + 2*g + g = 0 for g.
-1, 2
Let g(j) be the first derivative of j**4/12 + 22*j**3/9 - 25*j**2/6 - 46*j/3 - 1015. Factor g(n).
(n - 2)*(n + 1)*(n + 23)/3
Let g(x) be the second derivative of 5*x**7/42 - 2*x**6/3 + 5*x**5/4 - 5*x**4/6 + 1267*x. Find k, given that g(k) = 0.
0, 1, 2
Let d(a) = 35*a**2 - 7*a + 10. Let p be d(2). What is b in -p + 138*b**3 + 136 - 96*b**4 + 4*b**5 - 2048*b**2 + 630*b**3 = 0?
0, 8
Let j(v) = -5*v**3 + 20*v**2 + 43*v + 24. Let t(h) = -h**3 - h. Suppose -4*p - 20 = 6*p. Let a(x) = p*j(x) + 6*t(x). Factor a(u).
4*(u - 12)*(u + 1)**2
Find a, given that 17*a**5 - 54*a**3 - 50*a**2 - 43*a**5 - 4*a**4 - 12*a + 36*a**5 - 2*a**4 = 0.
-1, -2/5, 0, 3
Let b = -67 + 67. Let w be (-1 - -2)/((-168)/(-72)). Solve -w*s**2 + b*s + 12/7 = 0 for s.
-2, 2
Suppose -5*a + 72 = -m, -3*a + 2*a + 92 = -m. Let x = 105 + m. Suppose -5*k**2 - 5*k**2 + x + 8*k**2 = 0. What is k?
-2, 2
Let f(o) be the first derivative of o**5/4 + 165*o**4/4 + 10555*o**3/6 - 11055*o**2/2 + 22445*o/4 + 2096. Factor f(b).
5*(b - 1)**2*(b + 67)**2/4
Factor -1/6*y**2 + 1279/6*y + 0.
-y*(y - 1279)/6
Let p(c) = 2*c**5 - 18*c**3 - 9*c**2 + c + 9. Let u(l) = 2*l**3 + l**2 + l - 1. Let x(o) = -2*p(o) - 10*u(o). Suppose x(g) = 0. What is g?
-1, 1, 2
Let s(x) = x**3 - 11*x**2 - 6*x - 70. Let c be s(12). Let t(m) be the first derivative of -1/9*m**3 - m + 13 + 2/3*m**c. Factor t(l).
-(l - 3)*(l - 1)/3
Let i(a) be the third derivative of -2*a**2 + 6 + 1/280*a**7 + 1/160*a**5 + 0*a**3 + 0*a + 3/320*a**6 + 0*a**4. What is d in i(d) = 0?
-1, -1/2, 0
Let z(a) be the second derivative of a**5/450 - 4*a**4/45 + a**3/3 - 53*a**2/2 + 39*a - 2. Let m(t) be the first derivative of z(t). Let m(o) = 0. What is o?
1, 15
Determine k so that 4/7*k**5 + 58/7*k**3 + 24/7*k**2 - 72/7*k + 0 - 34/7*k**4 = 0.
-1, 0, 3/2, 2, 6
Let f = 4671 + -4655. Let y(c) be the second derivative of -4/5*c**2 + 1/3*c**3 + f*c - 1/30*c**4 + 0. Let y(k) = 0. Calculate k.
1, 4
Suppose g - 24*o + 56 = -20*o, -g - o = 46. Let w = g + 50. Suppose -1/7*y**4 - 4/7 + 0*y + 0*y**3 + 5/7*y**w = 0. Calculate y.
-2, -1, 1, 2
Let r be 6/(-96)*4*-20. Suppose 5*n = r, 2*w = 76*n - 75*n + 7. Suppose 5*q**2 + 5/2*q + 5/2*q**w + 1/2*q**5 + 5*q**3 + 1/2 = 0. Calculate q.
-1
Let v(l) be the first derivative of l**6/9 + 6*l**5 + 647*l**4/6 + 638*l**3 - 216*l**2 - 1944*l + 13049. Suppose v(q) = 0. Calculate q.
-18, -9, -1, 1
Let i(p) be the third derivative of -p**5/12 + 55*p**4/6 - 215*p**3/6 + 849*p**2 + 2. Factor i(o).
-5*(o - 43)*(o - 1)
Let n(p) be the third derivative o