+ 14*l. Let k(c) = c**4 + 59*c**3 + 102*c**2 - 3*c. Let w(o) = 3*i(o) + 14*k(o). Factor w(m).
-4*m**2*(m + 2)*(m + 12)
Let h(r) be the first derivative of r**4/10 - 4*r**3/15 - 3*r**2 + 83. Factor h(i).
2*i*(i - 5)*(i + 3)/5
Let b(d) be the first derivative of d**5/10 - d**3 - 2*d**2 - 3*d/2 + 43. What is r in b(r) = 0?
-1, 3
Let v(t) = -1150*t**4 + 2374*t**3 - 1299*t**2 + 70*t - 1. Let a(w) = -2299*w**4 + 4747*w**3 - 2599*w**2 + 140*w - 2. Let n(d) = -6*a(d) + 13*v(d). Factor n(z).
-(z - 1)**2*(34*z - 1)**2
Suppose -31/2*h**4 - 99/2*h**3 + 1/2*h**5 + 0 - 101/2*h**2 - 17*h = 0. Calculate h.
-1, 0, 34
Let r(l) = -4*l**5 + 18*l**4 - 28*l**3 + 10*l**2 - 6*l + 2. Let w(m) = m**4 + m**2 + 3*m - 1. Let j(g) = -r(g) - 2*w(g). Factor j(y).
4*y**2*(y - 3)*(y - 1)**2
Let z(m) = -10*m**4 + 38*m**3 - 144*m**2 - 199*m - 21. Let j(p) = 3*p**4 - 13*p**3 + 48*p**2 + 66*p + 6. Let i(v) = -7*j(v) - 2*z(v). Factor i(f).
-f*(f - 8)**2*(f + 1)
Let g(h) = -9*h**4 + 375*h**3 - 15*h**2 - 5. Let n(w) = w**4 + w**3 + 3*w**2 + 1. Let t(c) = g(c) + 5*n(c). Factor t(b).
-4*b**3*(b - 95)
Factor 0 + 2/7*t**5 + 6/7*t**3 + 0*t**2 + 0*t - 8/7*t**4.
2*t**3*(t - 3)*(t - 1)/7
Let l = 3 + -1. Determine q so that q**3 - 3*q**3 + 3*q**3 - 3*q**l + 2*q**3 = 0.
0, 1
Let j(y) be the second derivative of 0*y**2 - 2 + 0*y**3 - 125/12*y**4 - 1/6*y**6 - 7*y - 5/2*y**5. Suppose j(s) = 0. Calculate s.
-5, 0
Suppose -5*g - 5 = -3*a, 2*g - g = -a + 15. Let h be 12/120 - (-4)/a. Factor 3/2*r + h*r**2 + 1.
(r + 1)*(r + 2)/2
Let u be ((-2)/(-4))/(17/(-34)) + -20. Let t be (-34)/u + (-6)/21. Find n such that -t*n + 2/3*n**2 + 0 = 0.
0, 2
Let w = -8 - -14. Let j = -9 + 12. Solve -4*l**3 - 2*l**j + 2*l**5 - w*l**4 - 5*l**5 + 3*l**3 = 0 for l.
-1, 0
Let t(o) = -o**3 - 2*o**2 + 2*o + 2. Suppose m - 2 + 0 = 0. Let d(h) = h**3 - h**2 + h + 1. Let z(b) = m*d(b) - t(b). Solve z(r) = 0 for r.
0
Let w(a) be the first derivative of 0*a + 1/120*a**5 - 1/2*a**2 - 5 + 0*a**3 - 1/16*a**4. Let f(s) be the second derivative of w(s). Factor f(o).
o*(o - 3)/2
Factor -2*t + 8/13 + 18/13*t**2.
2*(t - 1)*(9*t - 4)/13
Let f(z) be the third derivative of 1/210*z**5 + 0*z + 17*z**2 + 0 + 0*z**4 + 0*z**3 - 1/1470*z**7 + 1/840*z**6. Determine p so that f(p) = 0.
-1, 0, 2
Let s(v) be the third derivative of v**7/60 + v**6/48 - v**5/60 - 106*v**2 - 1. Suppose s(z) = 0. What is z?
-1, 0, 2/7
Let k(g) be the second derivative of g**4/84 - g**3/21 + g**2/14 + 229*g. Suppose k(q) = 0. Calculate q.
1
Let v(c) be the first derivative of c**4 + 1004*c**3 + 378006*c**2 + 63253004*c - 449. Find g, given that v(g) = 0.
-251
Let w(j) be the third derivative of -j**7/6720 - j**6/640 - j**4/12 - 2*j**2. Let l(u) be the second derivative of w(u). Determine f so that l(f) = 0.
-3, 0
Factor -40 + 1330*j**2 - 615*j - 315*j - 370*j - 335*j**3.
-5*(j - 2)**2*(67*j + 2)
Let z = 787/106 - -4/53. Let a = 0 - 0. Find d such that -z*d**2 + a - d - 27/2*d**3 = 0.
-1/3, -2/9, 0
Factor -2/11*u**2 - 8/11 + 10/11*u.
-2*(u - 4)*(u - 1)/11
Let r = 16510/63 + -2356/9. Determine f, given that 2/7*f**3 + 0 - r*f**2 + 2/7*f**4 + 0*f - 2/7*f**5 = 0.
-1, 0, 1
Let x(b) be the second derivative of b**7/1680 + b**6/720 - b**5/240 - b**4/48 - b**3/3 + 9*b. Let n(s) be the second derivative of x(s). Factor n(q).
(q - 1)*(q + 1)**2/2
Suppose -16 = -2*f - 2*f. Let -6*m**2 + 7 - 2*m**4 + f*m**3 + 4*m + m**4 - 7 - 1 = 0. Calculate m.
1
Let c be (1*(-105)/90)/((-49)/21). Factor 0*a + 0*a**2 - a**3 + 0 - c*a**4.
-a**3*(a + 2)/2
Let l(z) be the third derivative of 5*z**6/96 - 17*z**5/12 + 1085*z**4/96 + 245*z**3/12 + 716*z**2. Factor l(m).
5*(m - 7)**2*(5*m + 2)/4
Suppose 134*m - 224 - 178 = 0. Let z be ((-5)/(-20))/(3/2). Solve z*i**m + 1/2*i + 1/2*i**2 + 1/6 = 0 for i.
-1
Let n(f) be the third derivative of 0*f**3 + 36*f**2 + 1/3*f**5 - 1/14*f**7 - 5/24*f**6 + 0 + 0*f + 5/6*f**4. Factor n(p).
-5*p*(p - 1)*(p + 2)*(3*p + 2)
Suppose 5*y = h + 138, 3*y = -h + 48 + 38. Let b be y/(-8) + 4 + 2/(-8). Factor -b*m**3 + 0*m**2 + 1/2 + 3/4*m.
-(m - 2)*(m + 1)**2/4
Let r(s) be the first derivative of 2*s**6/3 - 4*s**5/5 - 15*s**4 - 92*s**3/3 - 20*s**2 - 550. Factor r(g).
4*g*(g - 5)*(g + 1)**2*(g + 2)
Let x be (-6)/30 - (-4 - (-136)/36). Let p(k) be the second derivative of 0*k**2 + 0*k**4 + 0 + 0*k**5 - 1/63*k**7 - x*k**6 + 0*k**3 + 10*k. Factor p(i).
-2*i**4*(i + 1)/3
Let r(j) be the third derivative of j**7/350 - j**6/5 - 63*j**5/50 - 16*j**4/5 - 43*j**3/10 - 65*j**2. Determine z so that r(z) = 0.
-1, 43
Let h(o) be the third derivative of -5*o**8/672 + 10*o**7/7 - 225*o**6/2 + 4500*o**5 - 84375*o**4 + 2*o**2 + 89. Suppose h(x) = 0. What is x?
0, 30
Let s(k) be the first derivative of -k**8/336 + k**7/168 + k**6/72 - k**5/24 - 37*k**3/3 - 8. Let i(o) be the third derivative of s(o). Let i(y) = 0. What is y?
-1, 0, 1
Let w = -1/83 - -251/166. Determine r so that w*r**2 - 6 + 9/2*r = 0.
-4, 1
Factor 66/5*u**2 + 0 - 36/5*u**3 - 36/5*u + 6/5*u**4.
6*u*(u - 3)*(u - 2)*(u - 1)/5
Let l(v) be the second derivative of 1/90*v**5 - 1/12*v**4 + 0 + 0*v**3 + 2*v - 7/2*v**2. Let f(o) be the first derivative of l(o). Find x, given that f(x) = 0.
0, 3
Let d(u) = -17*u**3 - 38*u**2 - 19*u - 7. Let q(h) = 16*h**3 + 36*h**2 + 20*h + 6. Let y(r) = 2*d(r) + 3*q(r). Factor y(m).
2*(m + 1)**2*(7*m + 2)
Solve 16*i**4 + 33*i**3 + 56*i**4 - 156*i - 4*i**5 + 1188*i**2 - 1180*i**2 + 127*i**3 - 80 = 0.
-1, 1, 20
Let p = 249 + -249. Let g(k) be the first derivative of 8 + 3*k**2 - 3*k**3 + p*k + 3/4*k**4. Factor g(t).
3*t*(t - 2)*(t - 1)
Let q(j) be the third derivative of 4*j**7/1155 + 17*j**6/660 + 23*j**5/330 + 5*j**4/66 + 36*j**2. Solve q(h) = 0 for h.
-2, -5/4, -1, 0
What is n in -4*n**2 + 3*n + 3*n**3 + n**3 - 11*n = 0?
-1, 0, 2
Let c = -19838 - -79355/4. Factor 3/4 - 3/2*g + 3/2*g**3 - c*g**2.
3*(g - 1)*(g + 1)*(2*g - 1)/4
Let h(s) = 80*s**3 + 865*s**2 + 1690*s + 70. Let k(g) = -9*g**3 - 96*g**2 - 188*g - 8. Let i(w) = 4*h(w) + 35*k(w). Solve i(z) = 0.
-18, -2, 0
Factor h**2 - 13*h**2 - 4*h**3 + 158*h - 167*h + h**3.
-3*h*(h + 1)*(h + 3)
Suppose 0 = -5*t - 3*o + 10, -5*o - 31 - 14 = -4*t. Suppose -19*w + 30 = -4*w. Factor -h**2 + 7*h**2 - w*h**5 + 9*h**3 - h**5 + 0*h**t.
-3*h**2*(h - 2)*(h + 1)**2
Factor -124/3*i + 10/3*i**3 - 2*i**2 - 16.
2*(i - 4)*(i + 3)*(5*i + 2)/3
Let 401*l**5 - 204*l**5 - 28*l**3 + 63*l**3 + 61*l**3 + 112*l**2 + 12*l**4 - 201*l**5 = 0. Calculate l.
-2, 0, 7
Let p(s) be the second derivative of -3/5*s**3 + 2/25*s**6 + 2/5*s**2 + 0 - 8*s - 1/105*s**7 - 7/25*s**5 + 8/15*s**4. Factor p(b).
-2*(b - 2)*(b - 1)**4/5
Let j(y) be the first derivative of -15*y**3 - 25*y**2 - 5*y + 426. Determine s so that j(s) = 0.
-1, -1/9
Let h = -13 + 17. Suppose -h*a + 10 = a. Find k, given that 0 - 4 + 8*k - a*k**2 - 4 = 0.
2
Let d(r) be the first derivative of 2/15*r**3 - 4/5*r + 3 + 1/5*r**2. What is h in d(h) = 0?
-2, 1
Let o = 30089 - 60177/2. Determine m so that -1/2*m**5 + 0 - o*m**2 + 0*m + 1/2*m**4 + 1/2*m**3 = 0.
-1, 0, 1
Let o be 5/(20/48)*(-2)/220*-11. Determine j so that 3/5*j**2 - 9/5 + o*j = 0.
-3, 1
Determine h, given that -2/3*h**2 - 32/3 - 34/3*h = 0.
-16, -1
Let r = 150/17 - 280/51. Factor 0 - 14/3*j**3 + 0*j - r*j**4 - 4/3*j**2.
-2*j**2*(j + 1)*(5*j + 2)/3
Let n(f) = f**5 + f**3 - 2*f. Let s(g) = -2*g**5 - g**3 + 3*g. Suppose v + 6 = 9. Let t(i) = v*n(i) + 2*s(i). Determine o, given that t(o) = 0.
-1, 0, 1
Let i(c) be the third derivative of -c**8/26880 + c**6/240 - 2*c**5/15 - 12*c**2. Let n(q) be the third derivative of i(q). Factor n(m).
-3*(m - 2)*(m + 2)/4
Let a be (-10)/300*-30*5. Factor -2/13*r**2 - 2/13*r**a - 6/13*r**3 + 0 + 0*r - 6/13*r**4.
-2*r**2*(r + 1)**3/13
Let t(q) be the first derivative of -49*q**6/2 - 105*q**5 - 66*q**4 - 12*q**3 + 42. Factor t(s).
-3*s**2*(s + 3)*(7*s + 2)**2
Factor 625/3 + 1/3*b**2 - 50/3*b.
(b - 25)**2/3
Let 0*n**2 + 0 + 92/19*n**3 + 0*n + 50/19*n**4 + 2/19*n**5 = 0. Calculate n.
-23, -2, 0
Factor 10/7*t - 9/7*t**2 + 0 - 1/7*t**3.
-t*(t - 1)*(t + 10)/7
Let f = 71 - 65. Let d be (1/f)/(8/12). What is n in 0*n - 1/4*n**2 - d*n**3 + 0 = 0?
-1, 0
Let n = 12 + -10. Determine p, given that 4 + 2*p - 2*p**3 + 3*p**n + 0*p**2 - p**2 - 6*p**2 = 0.
-2, -1, 1
Let m(g) be the third derivative of 2*g**7/105 + 4*g**6/15 + 2*g**5/5 - 4*g**4/3 - 14*g**3/3