 that b(v) = 0.
2, 3
Let l(b) be the second derivative of -b**5/160 - b**4/32 + 3*b**3/16 - 5*b**2/16 - 59*b. Factor l(q).
-(q - 1)**2*(q + 5)/8
Let l(f) = 2*f**3 + f**2 - f. Let o(a) = 55*a**3 + 25*a**2 - 30*a. Let g(x) = -30*l(x) + o(x). Factor g(b).
-5*b**2*(b + 1)
Let z(v) be the first derivative of -v**6/225 + v**5/90 - v**4/180 + 5*v**2/2 + 11. Let w(m) be the second derivative of z(m). Factor w(y).
-2*y*(y - 1)*(4*y - 1)/15
Find k such that 4479*k - 51 + 4*k**3 - 2*k**4 + 26*k**2 + 3 - 4507*k = 0.
-3, -1, 2, 4
Let h = -61 + 66. Factor 8*i**4 - 7*i**h + 2*i**5 - 18*i**4.
-5*i**4*(i + 2)
Let p(r) be the third derivative of 1/7*r**8 - 1/4*r**3 - 133/80*r**5 + 4 + 71/40*r**6 + 3*r**2 - 6/7*r**7 + 27/32*r**4 + 0*r. Determine q so that p(q) = 0.
1/4, 1, 2
Let j(v) = -v**3 - v**2 + 4*v - 2. Suppose -y + 0*y = 9. Let c(x) = 4*x**3 + 5*x**2 - 17*x + 9. Let w(s) = y*j(s) - 2*c(s). Factor w(f).
f*(f - 2)*(f + 1)
Let o = 3803/5 - 760. Let f = 65 + -323/5. Solve 0 + 1/5*m**3 + o*m**2 + f*m = 0.
-2, -1, 0
Let w(l) be the first derivative of 16*l**2 + 6 - 8*l**3 - 32*l - 4 + l**4 + 8*l**2. Factor w(r).
4*(r - 2)**3
Suppose -3*m + 5*f - 21 = -5, 2*m - 4*f + 14 = 0. Solve -7*t - 3*t**3 + 0*t + 8*t + 2 + 2*t**m - 2*t**2 = 0 for t.
-2, -1, 1
Let w = -2953/4 + 743. Let m = -9/2 + w. Factor 1/2*p**3 - 1/2*p + 0*p**2 + 1/4 - m*p**4.
-(p - 1)**3*(p + 1)/4
Let y(g) be the second derivative of g**7/11340 + g**6/3240 - g**5/270 - 13*g**4/12 - 5*g. Let d(m) be the third derivative of y(m). Let d(s) = 0. What is s?
-2, 1
Suppose -5*d + w - 101 = 0, w - 3*w + 2 = 0. Let y be (5/((-825)/18))/(6/d). Factor 4/11*z + 0*z**2 - y*z**3 + 2/11*z**4 - 2/11.
2*(z - 1)**3*(z + 1)/11
Let g(x) = 33*x - 100*x**2 + 53*x - 25*x**3 + 314 + 125. Let d(a) = -5*a**3 - 20*a**2 + 17*a + 88. Let k(w) = -11*d(w) + 2*g(w). Factor k(v).
5*(v - 2)*(v + 3)**2
Let o be 1720/688 - (2/(-12) + 8/12). Factor -2/3*u**2 + 8/3*u - o.
-2*(u - 3)*(u - 1)/3
Let q(v) be the third derivative of v**7/105 - 17*v**6/60 + 3*v**5 - 9*v**4 - 72*v**3 + 96*v**2 + 1. Factor q(d).
2*(d - 6)**3*(d + 1)
Let o(i) be the first derivative of -7*i**5/270 - 5*i**4/54 + 8*i**3/27 - 19*i**2 + 23. Let k(f) be the second derivative of o(f). Find t such that k(t) = 0.
-2, 4/7
Let k(g) be the third derivative of g**6/6 + 56*g**5/45 - 10*g**4/9 - 32*g**3/9 + 727*g**2. Suppose k(r) = 0. Calculate r.
-4, -2/5, 2/3
Suppose -120 = 5*o - 4*f, -7*o - 2*f = -12*o - 130. Let q be (12/14)/((-118)/o + -4). What is w in 0 + 2/3*w**q - 2/3*w**2 + 2/3*w - 2/3*w**3 = 0?
-1, 0, 1
Let m(u) be the third derivative of u**8/1344 - u**7/840 - 13*u**6/480 + u**5/240 + u**4/2 + 3*u**3/2 + 62*u**2. Solve m(r) = 0.
-2, -1, 3
Let b(j) = -2*j + 19. Let m be b(9). Let r = m + 1. Determine u, given that 128*u + 4*u**4 + 52*u**2 - 40*u**2 + 26*u**r + 64 + 32*u**3 + 58*u**2 = 0.
-2
Suppose 1/5*t**2 + 24/5 + 2*t = 0. What is t?
-6, -4
Let d(n) be the second derivative of -n**10/30240 - n**9/7560 + n**7/1260 + n**6/720 - n**4/6 - 2*n. Let b(g) be the third derivative of d(g). Factor b(l).
-l*(l - 1)*(l + 1)**3
Let b(k) be the third derivative of 0*k - 9*k**2 - 5/1344*k**8 + 0*k**3 + 1/56*k**7 - 1/32*k**6 + 0*k**4 + 0 + 1/48*k**5. Suppose b(z) = 0. Calculate z.
0, 1
Suppose -448*n + 4 = -446*n. Let w(h) be the first derivative of -3/2*h**4 + 3*h + 1/2*h**6 + 3/5*h**5 + 3/2*h**n - 2*h**3 + 5. Suppose w(l) = 0. Calculate l.
-1, 1
Let y be ((-6)/11)/((-325)/715). Let 2*u - 2/5*u**3 + 2/5*u**2 + y = 0. What is u?
-1, 3
Determine o, given that 0*o + 0 + 4*o**3 - 20/3*o**2 - 1/3*o**4 = 0.
0, 2, 10
Suppose -2*l = b - 167, b = -3*l - 0*l + 251. Let d = l - 82. Determine w so that 0*w + 0 + 1/4*w**d = 0.
0
Let u(n) be the first derivative of -n**6/300 + n**5/150 + 3*n**2 - 15. Let h(t) be the second derivative of u(t). Factor h(p).
-2*p**2*(p - 1)/5
Let l be 12 + -10 + 0/2. Let r = 7/6 + -1/2. Factor 1/3*x**l + r - x.
(x - 2)*(x - 1)/3
Let v = -40 - -62. Let m be (-2)/(-11) + (-4)/v. Factor 0*g**3 + g**3 - g**5 + m*g**3.
-g**3*(g - 1)*(g + 1)
Let i(t) be the third derivative of -t**7/630 - t**6/120 + t**5/180 + t**4/24 + 5*t**2 + 5*t. Factor i(q).
-q*(q - 1)*(q + 1)*(q + 3)/3
Let z = -162/5 - -164/5. Factor 2/5*q**2 - z*q**4 + 0 + 2/5*q - 2/5*q**3.
-2*q*(q - 1)*(q + 1)**2/5
Let c(k) be the third derivative of -k**4/24 + 5*k**2. Let q be c(-2). Find v such that -3*v**2 - 3*v**3 - 4*v**q + v**2 + 7*v**4 - 4*v**4 = 0.
-1, 0, 2
Let i(p) be the third derivative of 0*p**3 + 0*p**4 + 1/600*p**6 - 2*p**2 + 0*p + 1/150*p**5 + 0. Determine k so that i(k) = 0.
-2, 0
Factor 11/2*n**2 + 0 + 121/4*n + 1/4*n**3.
n*(n + 11)**2/4
Determine h, given that 2*h**4 - 2*h**2 - 52*h**3 + 2*h**4 + 4*h**4 + 4*h + 48 + 108*h + 6*h**2 = 0.
-1, -1/2, 2, 6
Suppose 0*c + 565 + 7 = 286*c. Factor 16/5 + 8/5*y - 2/5*y**3 - 4/5*y**c.
-2*(y - 2)*(y + 2)**2/5
Factor -10*s**2 - 2726 + 25*s**3 - 23*s + 2636 - 142*s.
5*(s - 3)*(s + 2)*(5*s + 3)
Let t(v) be the second derivative of -v**6/50 + v**4/5 + 112*v. Factor t(w).
-3*w**2*(w - 2)*(w + 2)/5
Let g(u) be the first derivative of -u**4/34 - 8*u**3/51 - 5*u**2/17 - 4*u/17 + 689. Let g(n) = 0. What is n?
-2, -1
Factor 639 + 31*s**2 + 641 + 53*s**2 + 576*s + 4*s**3.
4*(s + 5)*(s + 8)**2
Factor 0*s - 1/3*s**3 + 17*s**2 + 0.
-s**2*(s - 51)/3
Let s(n) be the first derivative of n**5/150 + n**4/30 + n**3/15 + 5*n**2 - 6. Let d(i) be the second derivative of s(i). Factor d(g).
2*(g + 1)**2/5
Suppose 12 = 5*x - 3. Factor -x*i**2 - i**2 + 2*i**5 + 4 + 6*i - 45*i**3 + 37*i**3.
2*(i - 2)*(i - 1)*(i + 1)**3
Let s(k) = -45*k - 585. Let f be s(-13). Factor 3/5*v**4 + f + 3*v**3 + 12/5*v + 24/5*v**2.
3*v*(v + 1)*(v + 2)**2/5
Let h(r) be the third derivative of -2*r**7/315 + 5*r**6/24 - 377*r**5/180 + 25*r**4/8 + 9*r**3/2 - 476*r**2. Suppose h(o) = 0. What is o?
-1/4, 1, 9
Let h be (19/19)/(-2*(-6)/9). Let y(j) be the first derivative of -h*j**2 - 1/12*j**3 - 9/4*j + 2. Let y(o) = 0. Calculate o.
-3
Let r(p) be the first derivative of p**5/120 - 5*p**4/24 + 25*p**3/12 + 4*p**2 - 1. Let z(m) be the second derivative of r(m). Solve z(n) = 0 for n.
5
Let d(p) = -p**2 - 3*p + 3. Let m be d(-3). Let j = m - 0. Solve 2*k**4 - k**3 - k**2 - k**4 + 2*k**j - 2*k + k = 0.
-1, 0, 1
Let t = 11 + -43/4. Let q(r) be the second derivative of 3/40*r**5 + 0 - t*r**7 - 29/60*r**6 + 3/8*r**4 + 0*r**2 - 1/6*r**3 + 2*r. Solve q(j) = 0 for j.
-1, 0, 2/7, 1/3
Let k be -4 + 1 - (-10 + 21/3). What is a in 3/5*a**3 + 0*a + k - 3/5*a**2 = 0?
0, 1
Let w be (10 + 28)*(-4)/(-12) - (4 - -4). Determine u, given that 2/3*u**2 + w*u + 0 = 0.
-7, 0
Let z be 128/48 - 1/6. Factor -1/2*f**5 - 5/2*f**4 - z*f - 1/2 - 5*f**2 - 5*f**3.
-(f + 1)**5/2
Let r(f) be the third derivative of -f**8/11760 + f**6/840 + f**5/420 + 3*f**3/2 - 42*f**2. Let o(q) be the first derivative of r(q). Factor o(z).
-z*(z - 2)*(z + 1)**2/7
Let p(o) be the second derivative of 4/21*o**7 + 2/5*o**6 - o**4 + 0*o**2 - 4/5*o**5 + 4/3*o**3 - 28*o + 0. Solve p(v) = 0.
-2, -1, 0, 1/2, 1
Let g be (2 - (5 + -7))*(0 - 2). Let n be (40/100)/(g/(-10)). Let -n + 1/4*z - 1/4*z**3 - 3/4*z**4 + 5/4*z**2 = 0. Calculate z.
-1, 2/3, 1
Let h(x) be the first derivative of x**4/4 + x**3/3 - 6*x**2 + 185. Determine c so that h(c) = 0.
-4, 0, 3
Let o be 12/((-8 - -5)/(-1)). Determine n so that 0 + 0*n + 0*n**2 + 2/5*n**3 + 4/5*n**o + 2/5*n**5 = 0.
-1, 0
Let u(i) be the second derivative of -1/4*i**4 - 3*i**2 + 4*i + 0 - 3/2*i**3. Find s such that u(s) = 0.
-2, -1
Let x be ((-4284)/540 + 16/2)*55. Factor x*p**2 + 1/3*p**3 + 8*p - 12.
(p - 1)*(p + 6)**2/3
Let s(m) = -2*m**2 - 59*m + 36. Let u be s(-30). Let o(g) be the second derivative of 0 + 0*g**2 + 1/12*g**4 - u*g + 1/12*g**3 + 1/40*g**5. Factor o(f).
f*(f + 1)**2/2
Let r = -4337 + 82435/19. What is d in -14/19*d**2 + r + 2/19*d**3 + 16/19*d = 0?
-1, 4
Suppose -4*h + 0*h + 80 = 0. Let z = h + -14. Factor 3*b + 0*b**2 - z*b - 6*b**2 + 3*b**5 + 6*b**4 + 0*b**2.
3*b*(b - 1)*(b + 1)**3
Let i(h) be the second derivative of -1/22*h**4 - 9*h - 10/11*h**3 + 3*h**2 + 0. Find f, given that i(f) = 0.
-11, 1
Factor 58*x + 18*x**2 + 65*x - 6*x**2 - 9*x**2 - 6*x**2.
-3*x*(x - 41)
Let n = 4122 + -4120. Suppose -n + 1/2*c**2 + 0*c = 0. What is c?
-2, 2
Factor -4*j**3 - 8*j - 2/3*j**4 - 8/3 - 26/3*j**2.
-2*(j + 1)**2*(j + 