tive of q(g). Factor x(u).
-u**2*(u - 1)/7
Let m(i) be the first derivative of 2*i**3/33 + 26*i**2/11 + 106. Factor m(a).
2*a*(a + 26)/11
Let l(a) be the first derivative of a**4/3 + 28*a**3/9 - 80*a**2/3 + 176*a/3 + 147. Solve l(p) = 0.
-11, 2
Let k be (27 + 1)/(((-32)/(-12))/(-4)). Let j be ((-45)/k)/(3/4). Factor j*m - 16/7*m**2 - 2/7 + 8/7*m**3.
2*(m - 1)*(2*m - 1)**2/7
Let c(m) be the third derivative of -m**6/1440 - m**5/160 + m**4/24 - 4*m**3/3 + 9*m**2. Let b(o) be the first derivative of c(o). Factor b(f).
-(f - 1)*(f + 4)/4
Let l be 2*2/22 + 22591/1045 + -19. Find v, given that -2/5*v + 0 + 12/5*v**5 - 2/5*v**2 + l*v**3 + 26/5*v**4 = 0.
-1, -1/2, 0, 1/3
Determine d so that 2*d**4 + 26196 - 65*d**3 + 249*d**3 - 26196 + 2116*d**2 + 2*d**4 = 0.
-23, 0
Let j(v) = v**2 - 10*v - 25. Let u(n) = 3*n**2 - 20*n - 50. Let f(t) = -5*j(t) + 2*u(t). Suppose f(i) = 0. What is i?
-5
Let n = -20 - -22. Factor 30*h + 4*h**2 - 119*h**n - 4*h**3 - 16*h**3.
-5*h*(h + 6)*(4*h - 1)
Suppose 17*c**2 + 42*c**4 + 3*c**5 + 194*c**3 + 19*c**2 - 119*c**3 = 0. Calculate c.
-12, -1, 0
Let q(n) be the second derivative of -1/4*n**5 + 0 + 65/6*n**3 - 1/6*n**6 + 33*n + 35/12*n**4 + 15*n**2. Factor q(o).
-5*(o - 3)*(o + 1)**2*(o + 2)
Let r be (-3)/14*(-48)/(27 - 24). Factor 0*s - r*s**4 + 0 + 3*s**3 - 3/7*s**2 - 48/7*s**5.
-3*s**2*(s + 1)*(4*s - 1)**2/7
Let n(b) = -b**4 - 12*b**3 - 20*b**2 + 70*b - 41. Let i(m) = -m**4 - m**2 + m - 1. Let l(w) = -2*i(w) + n(w). Let l(z) = 0. What is z?
-3, 1, 13
Factor -95/3*c - 5/6*c**3 - 25/2*c**2 - 20.
-5*(c + 1)*(c + 2)*(c + 12)/6
Let o be -5 + (-42*(-9)/540)/(6/44). Solve -2/5*f**2 - 2/15 + 2/5*f + o*f**3 = 0.
1
Let i be (-1 - (-6)/3)/(-1). Let z = 1/3 - i. Factor 0 + 4/3*d - z*d**2.
-4*d*(d - 1)/3
Let q(y) be the second derivative of y**4/20 + 9*y**3/10 + 27*y**2/5 - 251*y. Solve q(f) = 0.
-6, -3
Let r(z) = -z - 1. Let m(y) = 4*y**2 + 12*y - 8. Suppose 4*f + 3*f = -7. Let u(q) = f*m(q) - 4*r(q). Factor u(h).
-4*(h - 1)*(h + 3)
Let 0 - 8833/6*y**3 - 62*y**4 - 2/3*y**5 - 1426*y**2 - 1058/3*y = 0. Calculate y.
-46, -1/2, 0
Let c(q) be the third derivative of q**7/1155 + q**6/330 + q**5/330 - 47*q**2. Let c(j) = 0. Calculate j.
-1, 0
Let g(y) be the third derivative of y**7/210 + y**6/45 + y**5/30 + 3*y**3/2 + 11*y**2. Let b(k) be the first derivative of g(k). Factor b(c).
4*c*(c + 1)**2
Let w(c) be the first derivative of 0*c**2 - 8 + 0*c**3 + 0*c + 5/4*c**4. Factor w(j).
5*j**3
Let d(j) be the first derivative of 5*j**4/4 + 65*j**3/3 - 145*j**2/2 + 75*j + 73. Factor d(w).
5*(w - 1)**2*(w + 15)
Let t(o) be the first derivative of o**4/2 - 3*o**2 - 4*o + 345. Factor t(j).
2*(j - 2)*(j + 1)**2
Let f(u) be the second derivative of u**6/45 - u**5/5 - 2*u**4/3 + 38*u**3/9 - 7*u**2 - 2*u + 127. Factor f(v).
2*(v - 7)*(v - 1)**2*(v + 3)/3
Let q(x) = 2*x**2 - 6*x. Let p be q(3). Let g be ((-3)/27 - p)/(6/(-60)). Solve 16/9*v**3 + 0 - 2/9*v**2 - g*v**4 - 4/9*v = 0.
-2/5, 0, 1
Let s = -254/3 - -424/5. Let g(w) be the first derivative of s*w**3 + 2/5*w**2 + 5 + 2/5*w. Find x such that g(x) = 0.
-1
Let j be -1*9 + 47 + -35. Let w(u) be the first derivative of -10*u**2 + 4/3*u**j - 6 + 6*u**4 - 8*u. Factor w(z).
4*(z - 1)*(2*z + 1)*(3*z + 2)
Let t(i) = i**2 + 4*i - 78. Let j be t(-11). Let b be 16/(-22)*j/4. Factor -b*n**3 + 0 + 2/11*n + 0*n**2.
-2*n*(n - 1)*(n + 1)/11
Let g(v) be the third derivative of -v**7/70 - v**6/8 - 2*v**5/5 - v**4/2 + 2*v**2 - 39. Factor g(z).
-3*z*(z + 1)*(z + 2)**2
Suppose -1/7*f**3 - 64/7*f + 0 + 16/7*f**2 = 0. Calculate f.
0, 8
Let c be (-128)/(-36 + 20) + 1. Determine p so that -c + 3/2*p**2 + 15/2*p = 0.
-6, 1
Let t(r) be the third derivative of r**6/600 - r**5/60 - 10*r**2 - 5. Factor t(c).
c**2*(c - 5)/5
Suppose 94*v + 51*v - 435 = 0. Find b, given that 0 + 2/3*b + 2/3*b**2 + 1/6*b**v = 0.
-2, 0
Let o(w) be the first derivative of 3*w**3/8 + 33*w**2/8 + 12*w - 50. Suppose o(d) = 0. Calculate d.
-16/3, -2
Suppose 0 = q - v - 12, q - 7 = -v + 11. Determine l so that 5*l**2 - q - 2*l**4 - 3*l**4 + 15 = 0.
-1, 0, 1
Let o(c) = -3*c**2 - c + 1. Let g(m) = 24*m**2 + 2*m - 5. Let z(h) = -3*g(h) - 21*o(h). Factor z(f).
-3*(f - 1)*(3*f - 2)
Let v be 2/(3*16/(-36))*-2. Let w(q) be the second derivative of -q**3 + 1/6*q**4 + 2*q**2 - v*q + 0. Determine x, given that w(x) = 0.
1, 2
Factor 3*f + 0 - 1/2*f**2.
-f*(f - 6)/2
Let c be ((-22)/264)/(3/(-6)). Let d(y) be the first derivative of -1/2*y + 1/2*y**2 - c*y**3 + 2. Factor d(s).
-(s - 1)**2/2
Determine f so that -2/15*f**4 - 4/3 - 2/5*f + 22/15*f**2 + 2/5*f**3 = 0.
-2, -1, 1, 5
Factor -1944 - 3*a**3 - 62*a - 328*a + 7*a - 271*a - 102*a + 102*a**2.
-3*(a - 18)**2*(a + 2)
Let y(t) be the first derivative of t**5/20 + t**4/3 + 2*t**3/3 + 10*t + 5. Let n(j) be the first derivative of y(j). Factor n(w).
w*(w + 2)**2
Find o such that -1515/7*o**2 + 1368/7*o - 432/7 + 3/7*o**5 + 657/7*o**3 - 81/7*o**4 = 0.
1, 12
Let f be 2 - (-586)/(-1)*18/7364. Let x = f - -1/263. Find r such that 2/7*r**2 - 2/7*r - x = 0.
-1, 2
Let g(j) be the first derivative of -j**6/21 + 3*j**4/14 - 4*j**3/21 - 106. Solve g(x) = 0.
-2, 0, 1
Let d(t) be the first derivative of 20*t**3/3 - 136*t**2 - 112*t - 37. Factor d(q).
4*(q - 14)*(5*q + 2)
Let b(o) be the first derivative of -13*o**6/288 - o**5/30 + o**4/24 + 14*o**3/3 + 13. Let u(y) be the third derivative of b(y). Factor u(w).
-(5*w + 2)*(13*w - 2)/4
Let l be -3 + 8/2 - -4. Let t(z) = -z**2 + 3*z + 4. Let r be t(3). Factor -r*o + 0 - 8 - o**2 + l*o**2.
4*(o - 2)*(o + 1)
Let 13/3 + 1/3*p**3 - 25/3*p + 11/3*p**2 = 0. Calculate p.
-13, 1
Factor 38 - 224*q - 12 + 36*q**4 + 12 + 0 + 292*q**2 + 26 - 168*q**3.
4*(q - 1)**2*(3*q - 4)**2
Let y(m) be the first derivative of 3*m**5/5 - 39*m**4/4 + 41*m**3 - 141*m**2/2 + 54*m - 171. Factor y(o).
3*(o - 9)*(o - 2)*(o - 1)**2
Let u(x) be the third derivative of x**8/448 + x**7/56 + 3*x**6/80 - x**5/20 - x**4/4 - 4*x**2 + 5. Factor u(y).
3*y*(y - 1)*(y + 2)**3/4
Let p(q) be the first derivative of 1/4*q**4 - 1/2*q**2 + 1 + 3/4*q - 1/6*q**3 - 1/20*q**5. Factor p(o).
-(o - 3)*(o - 1)**2*(o + 1)/4
Let k(w) = w**2 + 34*w + 49. Let z be k(-33). Let z - 4*s + 1/4*s**2 = 0. What is s?
8
Let x(r) be the third derivative of -5/24*r**4 + 2*r**2 + 0 + 0*r**3 + 2/21*r**7 - 5*r + 1/24*r**6 - 1/3*r**5. Determine b so that x(b) = 0.
-1, -1/4, 0, 1
Let h(l) be the third derivative of l**6/30 + 2*l**5/5 - 64*l**3/3 - 84*l**2 - 1. Determine c, given that h(c) = 0.
-4, 2
Let q(a) be the first derivative of -1/9*a**3 + 2/3*a - 5 + 1/6*a**2. What is b in q(b) = 0?
-1, 2
Let z be (-18)/45 - (-13)/(-5). Let w be (z - (-21)/6)*(-12)/(-9). Solve w*d**3 + 2*d - 8/3*d**2 + 0 = 0 for d.
0, 1, 3
Find a, given that 0 + 2/5*a**2 - 64/5*a = 0.
0, 32
Let s(y) = -8*y**3 - 3*y**2 + 5*y + 3. Let v(a) = -9*a**3 - 4*a**2 + 5*a + 4. Let f(l) = -4*s(l) + 3*v(l). Factor f(i).
5*i*(i - 1)*(i + 1)
Let s(i) be the second derivative of i**9/25200 - i**8/11200 - i**7/4200 + i**6/1200 + i**4/12 - 19*i. Let j(c) be the third derivative of s(c). Factor j(l).
3*l*(l - 1)**2*(l + 1)/5
Let w(x) = 2*x**3 - x**2 + 6*x - 7. Let h be w(1). Let c(f) be the first derivative of h*f**2 + 1/2*f**3 + 0*f - 1. Factor c(o).
3*o**2/2
Let s(n) = 7*n - 3*n + 6*n + 16 - 3*n. Let q be s(-2). Let 0 - 3/2*y - 3/4*y**3 - 9/4*y**q = 0. Calculate y.
-2, -1, 0
Let o(c) be the first derivative of c**5/15 - 4*c**4/3 + 32*c**3/3 + 5*c**2/2 - 8. Let h(i) be the second derivative of o(i). Suppose h(s) = 0. What is s?
4
Let n(d) be the first derivative of d**6/2 - 51*d**5/5 + 117*d**4/2 - 32*d**3 - 192*d**2 - 142. Factor n(f).
3*f*(f - 8)**2*(f - 2)*(f + 1)
Let o(g) be the first derivative of 5*g**4/8 - 35*g**3/6 + 55*g**2/4 - 25*g/2 - 305. Factor o(h).
5*(h - 5)*(h - 1)**2/2
Determine i, given that -1/9*i**2 + 13/9 + 4/3*i = 0.
-1, 13
Let -16 - 76 + 44*c - 4*c**2 + 52 = 0. Calculate c.
1, 10
Let r(k) be the third derivative of 63/40*k**8 - 23/25*k**5 + 8/15*k**3 - 4/5*k**7 + 0 + 3/5*k**4 + 0*k - 809/300*k**6 - k**2. Determine l, given that r(l) = 0.
-1/3, -2/7, 2/9, 1
Let b(j) be the third derivative of j**7/105 + j**6/12 + j**5/15 - 2*j**4/3 - 55*j**2 - j. Factor b(w).
2*w*(w - 1)*(w + 2)*(w + 4)
What is t in -1/6*t**3 - 4/3*t + 3/2*t**2 + 0 = 0?
0, 1, 8
Let n(w) be the third derivative of