t) be the third derivative of -t**9/3024 + t**8/280 + t**7/120 - t**3/6 + t**2 - 34*t. Let d(z) be the first derivative of h(z). Factor d(x).
-x**3*(x - 7)*(x + 1)
Let w(m) be the third derivative of -46*m**2 + 1/3*m**5 + 0*m**3 + 0 + 5/3*m**4 - 1/12*m**6 - 1/42*m**7 + 0*m. What is y in w(y) = 0?
-2, 0, 2
Let j = -219 - -221. Solve 7*b + 22*b - 31*b - 6 + 6*b**2 + j*b**3 = 0 for b.
-3, -1, 1
Factor 3/2 - 1/10*h**2 + 1/5*h.
-(h - 5)*(h + 3)/10
Let f(u) be the first derivative of -u**3/5 + 168*u**2/5 - 333*u/5 - 1010. Factor f(q).
-3*(q - 111)*(q - 1)/5
Let r(y) = -y + 89. Let p be r(7). Suppose -x = -p + 79. Determine h so that 0 - 4/11*h**2 - 6/11*h**x - 2/11*h**4 + 0*h = 0.
-2, -1, 0
Factor -1032*a**2 - 763*a**2 + 254*a**3 - 768*a**3 + 253*a**3 + 256*a**3.
-5*a**2*(a + 359)
Let y(l) = 64*l**2 - 1910*l - 308. Let f(g) = -2*g**2 - g + 2. Let m(x) = 6*f(x) + y(x). Factor m(d).
4*(d - 37)*(13*d + 2)
Factor 8*k**3 - 425 + 456*k + 38*k**2 - 4*k**3 + 5 - 114*k**2 - 444.
4*(k - 9)*(k - 6)*(k - 4)
Let x = -1094 - -1099. Let i(g) be the second derivative of 3/20*g**x + 0 - 3/2*g**2 - 3/4*g**4 - 9*g + 3/2*g**3. Factor i(r).
3*(r - 1)**3
Let h(o) be the first derivative of -o**6/18 - 8*o**5/15 + 37*o**4/12 + 44*o**3/9 + 7947. Determine z so that h(z) = 0.
-11, -1, 0, 4
Solve -16/5*f**2 + 0*f + 0 + 648/5*f**3 - 162/5*f**5 + 4/5*f**4 = 0.
-2, 0, 2/81, 2
Let l(m) = -m**2 + 2*m + 2. Let t(b) = 144*b**3 - 126*b**2 - 22*b - 8. Let s(x) = -4*l(x) - t(x). Find d such that s(d) = 0.
-7/72, 0, 1
Let w(m) be the third derivative of -7*m**6/8 - 155*m**5/3 - 505*m**4/6 + 10*m**2 + 36*m. Factor w(v).
-5*v*(3*v + 2)*(7*v + 202)
Let q be 14*1 + -2 + (-49 - 17171/(-462)). Factor -15 + q*o**3 - 17/2*o - 2/3*o**2.
(o - 10)*(o + 3)**2/6
Let s(l) = l + 39. Let c be s(-9). Let r = c - 28. Let -8 - 9*h**2 + 8*h - 2*h**3 + 4*h**2 + 4*h**2 + 3*h**r = 0. Calculate h.
-2, 1, 2
Let g = -15207 - -15211. Let y(m) be the third derivative of -1/12*m**3 + 1/120*m**5 + 0 - 21*m**2 + 0*m**g + 0*m. Determine q so that y(q) = 0.
-1, 1
Let u(i) be the first derivative of i**5/510 - i**4/102 - 8*i**3/51 + 63*i**2/2 - 2*i + 60. Let s(d) be the second derivative of u(d). Factor s(h).
2*(h - 4)*(h + 2)/17
Let g(i) be the second derivative of -4*i**4/3 - 1466*i**3/3 - 2900*i**2 - 1991*i. Determine l so that g(l) = 0.
-725/4, -2
Let u(y) be the second derivative of 4/9*y**4 + 0*y**2 - 8/27*y**3 - 13/45*y**5 + 2*y - 2/189*y**7 + 4/45*y**6 + 30. Factor u(t).
-4*t*(t - 2)**2*(t - 1)**2/9
Let k be -1*(3/(-7) - (-957)/2233). Determine b so that -3/2*b**2 + k - 9/2*b = 0.
-3, 0
Let g(y) be the first derivative of -134 + 8*y**2 - 88/3*y - 2/9*y**3. Solve g(n) = 0 for n.
2, 22
Let h(d) = -d**2 + d. Let r(u) = 34*u + 56 - 8*u - 78 - 4*u**2. Let v(o) = -6*h(o) + r(o). Factor v(q).
2*(q - 1)*(q + 11)
Solve -587/4*k**2 + 1/2*k**3 + 10731*k + 21609/4 = 0.
-1/2, 147
What is o in -5/4*o**4 - 23875*o - 135*o**3 + 28125 - 16455/4*o**2 = 0?
-50, -9, 1
Let u(o) = -7*o**2 - 44*o - 49. Let w be u(-11). Let k = -410 - w. Factor 0*y - 3/8*y**3 + 0*y**k + 1/8*y**4 + 0.
y**3*(y - 3)/8
What is n in 0 + 11/2*n**3 + 1/6*n**5 + 8/3*n**2 + 3*n**4 + 0*n = 0?
-16, -1, 0
Let c(v) be the first derivative of -2*v**3/9 - 1938*v**2 - 5633766*v - 926. Factor c(m).
-2*(m + 2907)**2/3
Let d(g) be the second derivative of g**6/10 - 9*g**5/10 + 13*g**4/4 - 6*g**3 + 6*g**2 + 3*g - 45. Suppose d(u) = 0. Calculate u.
1, 2
Suppose 633 + 349 = 4*f - 5*j, -5*j + 10 = 0. Let c = 250 - f. Suppose -1/4*i**3 + 0*i - 1/4*i**4 + 0 + 0*i**c = 0. Calculate i.
-1, 0
Let o = -453 + 633. Let j be (-5)/3 - (-420)/o. Factor j*l**2 + 8/3 + 8/3*l.
2*(l + 2)**2/3
Let 46*c - 3*c**2 - 14*c + 79888*c**3 + 12 - 79896*c**3 = 0. Calculate c.
-2, -3/8, 2
Let w(b) be the third derivative of 2/3*b**3 + 1/8*b**4 - 1/12*b**5 + 19 - 1/40*b**6 + 1/210*b**7 + 0*b - 2*b**2. Factor w(x).
(x - 4)*(x - 1)*(x + 1)**2
Let b = -93 - -125. Suppose 61 = b*o - 3. Factor 0 - 3/4*v**3 - 3/2*v**o - 3/4*v.
-3*v*(v + 1)**2/4
Let m(b) be the first derivative of -118 - 2*b**2 + 1/3*b**3 + 1/4*b**4 - 4*b. What is i in m(i) = 0?
-2, -1, 2
Let i(v) = -22*v**2 + 758*v + 4851. Let f(r) = -3*r**2 + 108*r + 693. Let z(y) = 43*f(y) - 6*i(y). Suppose z(a) = 0. What is a?
-21, -11
Let p(u) be the first derivative of u**6/3 + 12*u**5/5 + 6*u**4 + 20*u**3/3 + 3*u**2 - 8571. Factor p(f).
2*f*(f + 1)**3*(f + 3)
Let t(p) be the first derivative of -10/3*p**3 + 7 + 38*p - 10*p**2 - 5/12*p**4. Let g(w) be the first derivative of t(w). Determine b, given that g(b) = 0.
-2
Suppose 3*o = 20 - 2. Let i be -3*(-8)/o + -2. Factor 2*m**i + 5*m**4 + 0*m + 0*m - 7*m**2.
5*m**2*(m - 1)*(m + 1)
Let u = 324 + -322. What is y in -2*y**2 + 35*y**2 - 150*y + 154*y - 3*y**u + 56*y**3 = 0?
-2/7, -1/4, 0
Let i be (-1 + 8)/(5/(80/56)). Let v(o) be the first derivative of 7 + 2*o + 3/2*o**i + 3/8*o**3. Find g such that v(g) = 0.
-4/3
Let n(t) be the second derivative of t**6/60 - 31*t**5/40 + 109*t**4/12 + 112*t**3/3 - 384*t**2 + 96*t. Let n(m) = 0. What is m?
-3, 2, 16
Let y(k) be the first derivative of 19*k**4/20 + 107*k**3/5 - 17*k**2/5 + 879. Factor y(h).
h*(h + 17)*(19*h - 2)/5
Let o(l) be the third derivative of l**8/36960 - 13*l**7/27720 - l**6/396 + l**5/2 + 63*l**2. Let p(g) be the third derivative of o(g). Factor p(h).
2*(h - 5)*(3*h + 2)/11
Solve 2308/7*f - 665858/7 - 2/7*f**2 = 0 for f.
577
Let w(g) = 15*g**2 - 25*g + 24. Let o be w(1). Factor 65*l**3 - 25*l**2 + 32673*l**5 - o*l**4 - 75*l**2 - 32672*l**5.
l**2*(l - 5)**2*(l - 4)
Let h(n) be the third derivative of 0*n - 8*n**2 + 0*n**3 - 1/330*n**5 + 1/132*n**4 - 1. Factor h(u).
-2*u*(u - 1)/11
Let r(a) be the first derivative of a**6/24 - 71*a**5/20 + 201*a**4/8 - 395*a**3/6 + 653*a**2/8 - 195*a/4 - 3638. Factor r(c).
(c - 65)*(c - 3)*(c - 1)**3/4
Let h = -9986 + 9998. Let a(u) be the second derivative of -1/30*u**6 + 0*u**2 - 5/36*u**4 + 0 - 7/60*u**5 - 1/18*u**3 - h*u. Factor a(c).
-c*(c + 1)**2*(3*c + 1)/3
Let g(n) be the second derivative of -78*n - 1/4*n**4 + 1/20*n**5 - 5/3*n**3 + 0*n**2 + 0. Factor g(k).
k*(k - 5)*(k + 2)
Let q be 26820/300 + -71 - -2*(-2*1 + -2). Suppose -2 = 2*a - 10. Determine b so that q*b - 114/5*b**2 - 8/5 + 19*b**3 - 5*b**a = 0.
2/5, 1, 2
Factor 3*m**5 + 1065*m**2 - m**3 + 46*m**3 - 1045*m**2 + 24*m**3 + 13*m**4 + 15*m**4.
m**2*(m + 4)*(m + 5)*(3*m + 1)
Factor -2/9*a**2 - 512/3 - 518/9*a.
-2*(a + 3)*(a + 256)/9
Factor -64/3 + 8/9*i + 2/9*i**2.
2*(i - 8)*(i + 12)/9
Let -108/7*g + 0 - 110/7*g**2 - 2/7*g**3 = 0. Calculate g.
-54, -1, 0
Let a(c) be the second derivative of 2/3*c**3 + 0 - 248*c + 0*c**2 - 8/21*c**4 + 1/35*c**5. Find u such that a(u) = 0.
0, 1, 7
Suppose -4*g + 3 = a, -4*a = -17*g + 16*g + 5. Let m be 6*(-3)/6*(g - 2). Factor -3/4 + 15/4*k - 21/4*k**2 + 9/4*k**m.
3*(k - 1)**2*(3*k - 1)/4
What is g in 3*g**3 - 19 - 2*g**4 - 78*g**2 - 5 - 74*g - 27*g**3 - 19*g**3 + 13*g**3 = 0?
-12, -1
Let f(k) be the third derivative of k**7/350 + 26*k**6/25 + 2121*k**5/20 - 2205*k**4/4 - 1945*k**2 + 2. Let f(p) = 0. What is p?
-105, 0, 2
Let y(l) be the first derivative of -l**4/4 + 3*l**3 - 15*l**2/2 + 82*l - 3. Let m(k) be the first derivative of y(k). Let m(g) = 0. What is g?
1, 5
Let w = 14282 + -14280. Let p(n) be the second derivative of 0 - 26*n - 1/28*n**4 + 0*n**w - 3/14*n**3. Find l such that p(l) = 0.
-3, 0
Let f(n) be the third derivative of n**8/588 - 26*n**7/735 + 31*n**6/210 - n**5/15 - 16*n**4/21 + 40*n**3/21 - 2414*n**2 - 2. Let f(j) = 0. What is j?
-1, 1, 2, 10
Let b(l) be the first derivative of -4*l**2 - 38*l - 134. Let z be b(-5). Find w such that 0 + 4/3*w + 14/3*w**z = 0.
-2/7, 0
Let h(g) be the second derivative of -g**4/84 - 9*g**3/7 - 585*g**2/14 - 6635*g. Factor h(b).
-(b + 15)*(b + 39)/7
Let i be (10/24)/(725/435). Factor -1/2 - 1/4*b + i*b**2.
(b - 2)*(b + 1)/4
Let w(v) = v**4 - 7*v**3 + v**2 + v. Let d(p) = -20*p**4 + 164*p**3 + 702*p**2 + 914*p + 208. Let i(z) = -d(z) - 6*w(z). Suppose i(x) = 0. What is x?
-2, -2/7, 13
Let m(z) be the first derivative of 4*z**2 + 2*z**3 - 1/10*z**5 + 0*z + 93 + 0*z**4. Factor m(v).
-v*(v - 4)*(v + 2)**2/2
Let b(r) be the first derivative of 9*r**4/4 - 305*r**3 + 607*r**2/2 - 101*r + 143. Determine o so that b(o) = 0.
1/3, 101
Suppose -69 = -13*h - 17. Let j(y) be the t