1*a**3 + 64/7*a. Factor j(d).
4*(d + 1)**2*(d + 2)*(d + 8)/7
Let v(a) be the third derivative of a**7/21 + 61*a**6/15 + 7682*a**5/75 + 976*a**4/5 + 768*a**3/5 + 1318*a**2. Find w such that v(w) = 0.
-24, -2/5
Suppose 2*m - 4*t = 12, -3*m - 69*t = -65*t + 2. Let n be -7 - ((-1782)/220 - m/5). Suppose -3/2*g**2 + 3 - n*g = 0. Calculate g.
-2, 1
Let j(g) = 2*g**2 + g - 1. Let k(o) = 21*o**2 - 72*o + 1. Let c(x) = -j(x) - k(x). Let y(u) = 8*u**2 - 24*u. Let t(d) = 4*c(d) + 11*y(d). Factor t(r).
-4*r*(r - 5)
Let s(p) = 40*p**3 - 18*p**2 - 62*p + 24. Let x(r) = 11*r + 6*r**2 + 8*r - 2*r - 8 - 13*r**3 + 11*r - 7*r. Let q(m) = -5*s(m) - 14*x(m). Factor q(h).
-2*(h + 1)*(3*h - 2)**2
Let t(r) = r**4 - 33*r**3 + 226*r**2 - 68*r - 400. Let m(h) = h**3 - h**2 - 18*h + 2. Let z(o) = -4*m(o) - t(o). Solve z(v) = 0 for v.
-1, 2, 14
Suppose -2224*q - 12 = -2230*q. Factor -27*i**3 + 0*i - 2*i**q + 2*i + 9*i**3 + 16*i**3 - i**2.
-i*(i + 2)*(2*i - 1)
Let s(h) be the first derivative of -1/2*h**5 + 4*h**2 - 1/4*h**4 + 2*h + 5/2*h**3 + 138. Suppose s(m) = 0. What is m?
-1, -2/5, 2
Let u(n) be the second derivative of 1/60*n**5 + 1/4*n**4 + 3/2*n**3 + 0 - 7*n - 9/2*n**2. Let c(h) be the first derivative of u(h). Solve c(i) = 0.
-3
Let s be -3 + (-1 - -3 - -4). Suppose s*q + 11 = 53. Find o such that 12*o**3 - 37 - 12*o + 5*o**4 + 25 - 5*o**2 - 2*o**4 + q*o**2 = 0.
-2, -1, 1
Let x(a) be the second derivative of -3/8*a**3 - 37*a - 13/32*a**4 - 21/160*a**5 + 1/80*a**6 + 0 + 0*a**2 + 1/112*a**7. Let x(h) = 0. Calculate h.
-2, -1, 0, 3
Let w(f) be the second derivative of f**6/36 + 9*f**5/8 + 65*f**4/24 + f**3/3 + 4*f**2 + 37*f. Let k(g) be the second derivative of w(g). Solve k(h) = 0.
-13, -1/2
Suppose 807*b**4 - 20 + 58*b**3 + 802*b**4 - 22*b - 36*b**3 - 1607*b**4 + 18*b**2 = 0. What is b?
-10, -1, 1
Let y(o) be the third derivative of -o**6/60 + 24*o**5/5 - 959*o**4/12 - 2*o**2 + 50*o + 19. Find w, given that y(w) = 0.
0, 7, 137
Let t be ((-37638)/(-615))/153*-2*(-75)/12. Factor 1008*a + 34/3*a**4 + 576 - 361/3*a**3 + 300*a**2 - 1/3*a**t.
-(a - 12)**3*(a + 1)**2/3
Suppose -4*d - 4*b + 48 = 0, 0*b - 5*b - 66 = -4*d. What is w in d*w**3 - 9*w**3 - 8 + 0*w**2 + 18*w**2 + 12*w = 0?
-2, 2/5
Solve -100*o - 104*o - 38*o - 118*o - 15*o**3 + 3*o**4 - 3*o**3 - 381*o**2 = 0.
-8, -1, 0, 15
Let y(f) be the first derivative of -2/21*f**3 + 26 - 1/14*f**4 + 8/7*f**2 + 24/7*f. Factor y(x).
-2*(x - 3)*(x + 2)**2/7
Let b = 1992/737 - -18/737. Factor -2/11*k**2 - 16/11*k - b.
-2*(k + 3)*(k + 5)/11
Let b(w) be the second derivative of 3*w**5/20 + 75*w**4/4 + 287*w**3/2 + 639*w**2/2 - 1000*w - 2. Solve b(u) = 0 for u.
-71, -3, -1
Let d = 9 - 29/5. Let g(n) = -39*n + 1601. Let h be g(41). Factor -2/5*t**5 + 0 - 8/5*t**h - d*t**3 + 0*t - 2*t**4.
-2*t**2*(t + 1)*(t + 2)**2/5
Determine a so that 4/7*a**3 - 528/7 - 276/7*a**2 + 800/7*a = 0.
1, 2, 66
Let z(a) = 17*a**2 + 620*a + 10396. Let l(s) = -11*s**2 - 413*s - 6931. Let o = -9 - -1. Let x(n) = o*l(n) - 5*z(n). Factor x(d).
3*(d + 34)**2
Let t(p) be the second derivative of 0 - 15/11*p**2 + 5/11*p**4 - 4/11*p**3 - 107*p - 4/77*p**7 - 1/11*p**6 + 12/55*p**5. Determine v so that t(v) = 0.
-5/4, -1, 1
Let j = 95401/5 + -19080. Find n such that -6/5*n**2 - 8/5 - j*n**3 - 12/5*n = 0.
-2
Let x(c) be the first derivative of 0*c + 1/14*c**4 - 140 - 10/21*c**3 + 4/7*c**2. Factor x(n).
2*n*(n - 4)*(n - 1)/7
Suppose r - 59 = -5*w, -2*r + 29 = -5*w - 44. Let -5*t**3 - 3173*t - 16 - 11*t**3 - r*t**2 + 3249*t = 0. What is t?
-4, 1/4, 1
Let 0*f**2 + 2/7*f**5 + 0*f**3 + 0 + 0*f - 4*f**4 = 0. Calculate f.
0, 14
Factor -788045 + 1985*g - 5/4*g**2.
-5*(g - 794)**2/4
Let o be 2/4 + 27/18. Let f(y) be the first derivative of -y**3 + 3*y + o + 5 + 1 - 5. Solve f(x) = 0 for x.
-1, 1
Let f = 125 - 113. Suppose -12*g**4 + 90*g**5 - 87*g**5 + 6 - 7*g - 8*g + f*g**3 + 6*g**2 = 0. Calculate g.
-1, 1, 2
Suppose 1216 - 4/3*d**2 + 584/3*d = 0. Calculate d.
-6, 152
Let q(s) be the third derivative of -s**7/350 - 179*s**6/600 + 217*s**5/150 - s**4/30 - 124*s**3/15 + 2*s**2 + 37*s + 27. Suppose q(x) = 0. Calculate x.
-62, -2/3, 1, 2
Let q(g) = g**2 + g. Suppose 0 = z - 3*y - 14, -2*y = -5*z + 3*y + 30. Let s be q(z). Suppose 13 + s + 30*m + 11 + 10 + 5*m**2 = 0. Calculate m.
-4, -2
Let w(u) = u**2 - 2. Let s(d) = d**3 + 9*d**2 - 14*d - 6. Let k(x) = -x**2 + x + 1. Let c(b) = 5*k(b) + s(b). Let g(v) = 2*c(v) - 10*w(v). Factor g(f).
2*(f - 3)*(f - 1)*(f + 3)
Let t(a) = -a**3 - 228*a**2 - 461*a - 240. Let s(p) = -6*p**3 - 1367*p**2 - 2768*p - 1446. Let o(v) = -2*s(v) + 13*t(v). Factor o(q).
-(q + 1)**2*(q + 228)
Factor -123*g**2 + 31*g**2 + 1182*g**3 - 4*g**4 - 2306*g**3 + 56*g + 1164*g**3.
-4*g*(g - 7)*(g - 2)*(g - 1)
Let l(t) = -2*t**2 + t + 1. Let u(r) be the second derivative of r**4/4 - 5*r**3/6 - 7*r**2/2 + 88*r. Let n(s) = -21*l(s) - 3*u(s). Factor n(y).
3*y*(11*y - 2)
Let z be ((-39)/18)/(20/((-1140)/247)). Factor -1/2*u - z + 1/2*u**2 + 1/2*u**3.
(u - 1)*(u + 1)**2/2
Let o be 219*(4/(-6))/2. Let x = o + 77. Suppose -24*j + x*j**2 - 9*j - 4*j - 3*j - 44 = 0. What is j?
-1, 11
Suppose 0 = -400*z + 402*z - 3666. Suppose 1824 - z = -3*s. Solve 1 - 1/2*l - l**2 + 1/2*l**s = 0.
-1, 1, 2
Let d = -18 - -21. Determine u so that 5*u - 4 + u**2 + 6*u + d*u - 11 = 0.
-15, 1
Suppose 0 = -3*n + 33 - 12. Let m = -2170 - -2172. Factor y - 4*y**m + y**2 - n*y + 3 + 6*y**2.
3*(y - 1)**2
Suppose 170*g + 76 = 208*g. Let u(j) = j**3 + 6*j**2 + 3*j + 4. Let a be u(-5). Let 30 + 1288*t**g - a + 57 + 23 - 688*t - 196*t**3 = 0. Calculate t.
2/7, 6
Let w(f) be the first derivative of -13*f**2 + 58 + 101/8*f**4 - 49/12*f**6 - 4*f + 7*f**5 - 31/3*f**3. Suppose w(z) = 0. Calculate z.
-1, -2/7, 1, 2
Let s be 198/14 + 14/(-98). Suppose 0 = 3*v - 3*a - 18, v + 5*a + 2 - s = 0. Suppose 53 - 3*z + 10*z**3 + 5*z**4 - 5*z**2 - 53 - v*z = 0. Calculate z.
-2, -1, 0, 1
Let o = -52/4033 + 4189/12099. Factor 1/3*y**5 + 0 + 1/3*y**2 - 1/3*y**3 + 0*y - o*y**4.
y**2*(y - 1)**2*(y + 1)/3
Let a = -59 - -66. Suppose -a = -j - 5. Suppose -j*r**2 + 6*r**2 - 6*r**2 + 5*r + r = 0. Calculate r.
0, 3
Let a(b) be the first derivative of -b**4/4 - 55*b**3/3 - 196*b**2 - 752*b + 8452. Factor a(o).
-(o + 4)**2*(o + 47)
Let y(q) be the second derivative of -q**8/3360 - q**7/630 + q**6/45 + 4*q**4 + 248*q. Let a(c) be the third derivative of y(c). Factor a(m).
-2*m*(m - 2)*(m + 4)
Suppose 0 = 5*g + 39 - 44. Let b(f) = -5*f**3 - 8*f**2 - 3*f + 6. Let m(z) = z**3 + z**2 - 1. Let o(y) = g*b(y) + 6*m(y). Suppose o(h) = 0. Calculate h.
-1, 0, 3
Let -2/3*c**5 + 286/3*c**3 + 44*c**2 + 16*c**4 + 0 - 464/3*c = 0. Calculate c.
-4, -2, 0, 1, 29
Let c(i) = -3*i**2 - 11*i + 2. Let w(u) = 1003*u - 1 - 2008*u + 1006*u. Suppose -4*z + 2*z + 2 = 0. Let y(q) = z*c(q) + 5*w(q). Let y(a) = 0. Calculate a.
-1
Suppose 4*w = -11 + 63. Suppose 3*z - 22 = -w. Let -4*t**z - 9*t + 8*t**2 - 8*t + 13*t = 0. Calculate t.
0, 1
Suppose -231*j + 274*j = 0. Let z(u) be the first derivative of 1/5*u**5 + j*u - 22 + 0*u**2 - 7/3*u**3 - 3/2*u**4. Let z(d) = 0. What is d?
-1, 0, 7
Let s(b) be the third derivative of -b**8/84 - 62*b**7/105 - 63*b**6/10 + 799*b**5/15 - 289*b**4/3 + b**2 - 143*b - 5. Solve s(q) = 0.
-17, 0, 1, 2
Let q(l) be the second derivative of l**4/24 - 185*l**3 + 308025*l**2 + l - 7181. Factor q(a).
(a - 1110)**2/2
Let f(b) be the first derivative of -49/9*b**2 + 13 - 1/54*b**4 + 16*b + 14/27*b**3. Let s(a) be the first derivative of f(a). Determine p so that s(p) = 0.
7
Let o = -134/3 - -45. Let h = -17728/3 + 5911. Let -4/3*y - h*y**4 + 2*y**2 - o + 4/3*y**3 = 0. Calculate y.
-1, -1/5, 1
Let l(u) = -49*u - 163. Let n be l(-13). Suppose -473*c = -n*c. Suppose c + 2/3*f**3 - 2*f**2 + 4/3*f = 0. Calculate f.
0, 1, 2
Suppose -1851 = 20*p - 1891. Let d(u) be the second derivative of -15*u - 3/20*u**5 - p*u**4 + 0 - 21/2*u**3 - 27*u**2. Factor d(h).
-3*(h + 2)*(h + 3)**2
Let f(s) = -2*s**2 - 78*s + 168. Let h be f(-41). Let q be (h/(-3))/(12/(-24)). Let 8/3*a + q + 2/3*a**2 = 0. Calculate a.
-2
Let z(t) be the third derivative of 0 + 1/20*t**5 - 47*t**2 + 3*t**3 + 0*t + 5/8*t**4. Let z(m) = 0. Calculate m.
-3, -2
Solve -138*g - 806*g**3 + 2411*g**3 + 54*g**2 - 805*g**3 - 105*g - 803*g**3 = 0.
0, 9
Let v = 4247/3 - 1413. Let i be -1 + 100/12 