 40*w**3 - 22*w**2 + 2*w - 40. Suppose h(l) = 0. Calculate l.
-10, -2, -1, 6
Let k(m) be the second derivative of -m**7/5040 + m**6/432 + m**5/120 + 103*m**3/6 + 6*m - 1. Let p(x) be the second derivative of k(x). Factor p(i).
-i*(i - 6)*(i + 1)/6
Let b(q) = -10*q**3 + 15*q**2 - 81*q + 110. Let x(n) = 7*n**3 - 16*n**2 + 83*n - 110. Let l(s) = 2*b(s) + 3*x(s). Let l(r) = 0. Calculate r.
2, 5, 11
Let l(y) be the second derivative of -y**6/10 + 3*y**5/20 + 75*y**4/4 + 175*y**3/2 - 375*y**2 - 537*y. Suppose l(v) = 0. What is v?
-5, 1, 10
Let u(f) be the first derivative of f**4/6 + 3998*f**3/9 + 998000*f**2/3 - 2000000*f/3 + 3296. Find d such that u(d) = 0.
-1000, 1
Let n(f) be the third derivative of f**7/210 - f**6/30 - f**5/12 + 237*f**2 + 3. Factor n(h).
h**2*(h - 5)*(h + 1)
Suppose -6*p**2 - 3/4 + 12*p**3 - 21/4*p = 0. Calculate p.
-1/4, 1
Let t(d) be the third derivative of 1/210*d**7 + 0*d**3 - 2*d + 1/20*d**5 + 1/40*d**6 - d**2 + 1/24*d**4 + 0. Let t(r) = 0. Calculate r.
-1, 0
Let t(f) be the first derivative of 2/3*f**4 - 32 - 6*f**2 - 6*f - 2/3*f**3. Let w(l) be the first derivative of t(l). Suppose w(r) = 0. What is r?
-1, 3/2
Suppose -89 = -38*s - 13. Solve 0*y**4 + s*y + 36*y**3 + 4*y**2 - 4*y**4 - 38*y = 0.
-1, 0, 1, 9
Suppose -354*c - 280 - 15*c**2 - 3192*c**3 + 3195*c**3 - 56 = 0. What is c?
-8, -1, 14
Let y be (-14)/(-12) + (-355)/(-426). What is d in 10*d**y + 26 + 15*d**3 - 38*d**2 + 40*d - 38 - 2*d**4 - 11*d**2 = 0?
1/2, 2, 3
Determine f, given that 0*f + 252/5*f**3 + 4/5*f**2 + 0 + 52*f**5 - 516/5*f**4 = 0.
-1/65, 0, 1
Suppose 176 = 9*x + 140. Let y(v) be the third derivative of 2/11*v**3 + 7/132*v**x + 0 - 40*v**2 + 0*v + 1/330*v**5. Factor y(k).
2*(k + 1)*(k + 6)/11
Let n = 6221/19936 - 75/2848. Find b, given that -2/7*b**2 + 20/7*b - n*b**3 - 16/7 = 0.
-4, 1, 2
Let x = -174 + 176. Determine g, given that -3*g + g**4 + g**4 - 1 + 2 - 5*g**4 + 2*g**3 + x*g**2 + g**5 = 0.
-1, 1
Suppose -f = -13 - 13. Suppose 0 = 4*p - 5*t - f, p - 6*p - 3*t = -14. Factor -6*v**p + 72*v**5 + 3*v**5 - 2*v**4 - 2*v**4.
5*v**4*(15*v - 2)
Let s = -46328 - -46373. Factor -20*z**2 - 105/2*z - s - 5/2*z**3.
-5*(z + 2)*(z + 3)**2/2
Find y such that 2599*y**2 + 73728 - 84*y**3 + 2*y**4 + 9956*y + 10012*y - 20*y**3 - 2015*y**2 = 0.
-6, 32
Let q(r) be the third derivative of -r**8/168 - r**7/105 + 17*r**6/60 - 19*r**5/30 - 4*r**4/3 + 20*r**3/3 - 5263*r**2. Suppose q(t) = 0. Calculate t.
-5, -1, 1, 2
Let d(w) be the third derivative of -w**7/21 + 19*w**6/20 + 101*w**5/30 + 13*w**4/4 - 105*w**2 + 7*w. Find x such that d(x) = 0.
-1, -3/5, 0, 13
Let h = -1/1367 + 4103/2734. Let a(l) be the first derivative of 0*l + 5*l**3 + 3*l**2 - 3*l**5 + 1 - h*l**4. Let a(j) = 0. What is j?
-1, -2/5, 0, 1
Solve 0 - 2/7*t**4 - 192/7*t**2 + 0*t + 40/7*t**3 = 0 for t.
0, 8, 12
Let j(a) be the first derivative of 12*a**5/5 + 107*a**4 + 1248*a**3 - 648*a**2 - 1781. Factor j(g).
4*g*(g + 18)**2*(3*g - 1)
Let r(i) = 38*i + 510. Let f be r(-10). Let h be 91/f - 1/5. Determine c so that 3/2*c + h*c**2 + 1 = 0.
-2, -1
Let f = 3434 - 3434. Let k(w) be the third derivative of 1/160*w**6 + 0*w**3 + 0 + 1/16*w**4 + f*w + 3/80*w**5 + 6*w**2. Factor k(h).
3*h*(h + 1)*(h + 2)/4
Let s = 31/623 - -10873/6853. Factor -2/11*t**4 + 32/11*t + 0 + s*t**3 - 48/11*t**2.
-2*t*(t - 4)**2*(t - 1)/11
Let g be 3*(-14)/(-3) - (1 - 3). Determine o, given that 31*o**5 + 2*o**5 + 28*o**2 - g*o**3 - 4*o - 28*o**4 + 7*o**5 - 20*o**3 = 0.
-1, 0, 1/5, 1/2, 1
Let p(j) = 58*j**2 - 14*j - 120*j**2 - 31 + 61*j**2. Let y be p(-11). Factor 2*l**3 - 2*l + 3*l**3 + 4*l**2 - l**y.
l*(l + 1)*(5*l - 2)
Let z(h) be the third derivative of h**7/5880 - h**6/315 - 11*h**5/210 - 2*h**4/7 + 7*h**3 - 10*h**2 + 1. Let w(n) be the first derivative of z(n). Factor w(i).
(i - 12)*(i + 2)**2/7
Let i(x) = 3*x**2 + 13*x - 6. Suppose a + 24*a + 100 = 0. Let h(y) = 4*y**2 + 12*y - 4. Let j(v) = a*h(v) + 3*i(v). Factor j(q).
-(q + 1)*(7*q + 2)
Suppose 8 = -0*n + 4*n. Let d(a) = a + 1. Let u be d(4). Solve 2*f - 16*f**3 - 30*f**4 + 11*f**2 - 4*f**n - 7*f**4 + 42*f**u + 2*f**3 = 0.
-1/3, -2/7, 0, 1/2, 1
Let f(i) be the third derivative of -i**5/60 - i**4/3 - i**3/2 - 18*i**2. Let x be f(-7). Factor -3*s**2 - 5*s**5 - 10*s**x + 3*s**2 - 49*s**3 + 44*s**3.
-5*s**3*(s + 1)**2
Let c(l) be the first derivative of 2*l**3/39 - 114*l**2/13 + 6498*l/13 - 833. Solve c(q) = 0.
57
Let r be 17 - ((-40)/(-5) + -7). Suppose 0 = 8*m - r. Solve 8/3*c**m + 0 + 4/3*c**3 + 4/3*c = 0.
-1, 0
Suppose 2/3*r**4 + 16926*r**2 - 501642*r - 554/3*r**3 - 1072476 = 0. Calculate r.
-2, 93
Let f(i) be the second derivative of -i**6/60 + 47*i**5/40 - 43*i**4/6 - 2738*i. Factor f(a).
-a**2*(a - 43)*(a - 4)/2
Let w = -536 + 551. Find u such that 20*u - 4*u**2 - 12 - 19*u + w*u = 0.
1, 3
Let i = -82499/3 - -165001/6. Find l, given that 7/3 + i*l**3 - 11/3*l**2 + 5/6*l = 0.
-2/3, 1, 7
Let o(f) be the third derivative of 2/45*f**5 + 1/180*f**6 + 0*f**3 + 0*f + 76*f**2 + 1/12*f**4 + 0. Let o(m) = 0. What is m?
-3, -1, 0
Determine v so that 109/4 - 217/8*v**2 - 219/8*v + 219/8*v**3 - 1/8*v**4 = 0.
-1, 1, 218
Let s(u) be the second derivative of -11*u**2 + 1/12*u**4 - 7/2*u**3 - 6*u + 0. Let s(g) = 0. Calculate g.
-1, 22
Let o be (-63)/9 + (-3289)/(-440). Let x(f) be the second derivative of 7/3*f**3 - o*f**5 - 21*f - 1/4*f**4 + 0 + 7/60*f**6 + 2*f**2. Factor x(q).
(q - 2)**2*(q + 1)*(7*q + 2)/2
Let g(m) = -m**3 + 11*m**2 - m + 14. Suppose y - 31 = -5*u, -3*y - 5*u = -7*y + 24. Let r be g(y). Factor -3/4*d**r + 1/2*d**2 + 3/4*d - 1/2.
-(d - 1)*(d + 1)*(3*d - 2)/4
Let r be 15 + ((-174)/180 - (-76)/(-2280)). Let -2/5*l**3 - 648/5 + r*l**2 - 576/5*l = 0. What is l?
-1, 18
Let r(z) = -z**4 - 6. Let y(l) = -34*l**4 - 84*l**3 - 80*l**2 - 180. Let w(p) = 30*r(p) - y(p). Factor w(d).
4*d**2*(d + 1)*(d + 20)
Let m = -111 - -113. Suppose -93 + 81*t + 99*t + 2*t**2 - m*t**2 - 92 + 5*t**2 = 0. Calculate t.
-37, 1
Let z(i) be the third derivative of -i**8/168 - 17*i**7/105 - 2*i**6/3 + 10*i**5 - i**2 + 4832. Factor z(u).
-2*u**2*(u - 3)*(u + 10)**2
Let q be (6 + 2/(-1))/(48/24). Let 16*u - 32*u**2 - 4*u**4 - 16*u**3 - 30*u**2 + 54*u**q + 12 = 0. What is u?
-3, -1, 1
Suppose -z + b - 3 = 0, -39*z = -36*z + 4*b - 33. Let 22/3*w + 16*w**z - 25*w**2 + 0 + 5/3*w**4 = 0. Calculate w.
-11, 0, 2/5, 1
Let m = 20701 + -2484119/120. Let i(t) be the third derivative of 1/180*t**5 + 1/315*t**7 + 0*t**3 + 6*t**2 + 0*t**4 - m*t**6 + 0 + 0*t. Factor i(k).
k**2*(k - 1)*(2*k - 1)/3
Let g(a) be the second derivative of a**4/66 + 2*a**3/11 + 8*a**2/11 - 674*a. Find l such that g(l) = 0.
-4, -2
Let g(o) be the first derivative of 28*o**5/15 + 61*o**4/3 - 1228*o**3/3 + 2182*o**2/3 - 952*o/3 - 4043. Let g(i) = 0. Calculate i.
-17, 2/7, 1, 7
Let s(j) = -j**2 + 5*j + 10. Let b be s(5). Let r be ((-6)/15)/((-2)/b). Factor 4 - 12*y - y**r + 22*y - 10*y.
-(y - 2)*(y + 2)
Factor -15/2 + 7/2*t**2 + 1/4*t**3 - 17/4*t.
(t - 2)*(t + 1)*(t + 15)/4
Let r(h) be the first derivative of 1/90*h**5 - 1/18*h**4 + 0*h**3 + 1/180*h**6 + 0*h + 13 + 5*h**2. Let k(g) be the second derivative of r(g). Factor k(b).
2*b*(b - 1)*(b + 2)/3
Let j = -18 - -36. Suppose 5*s = 4*x - 26, -3*s + j = 5*x - 2*s. What is v in v**5 - 98*v**3 + 128*v**2 - 40*v**x + 380*v - 5*v**5 + 200 + 10*v**3 = 0?
-5, -1, 2
Factor 40/7 - 3/7*x**3 + 1/7*x**4 - 2*x**2 + 12/7*x.
(x - 5)*(x - 2)*(x + 2)**2/7
Determine f, given that 66*f + 148*f**3 - 419*f**2 + 2 + 576*f + 142*f - 194 - 221*f**2 = 0.
12/37, 2
Let c(g) be the first derivative of g**3 - 21*g**2 + 147*g - 1229. Factor c(n).
3*(n - 7)**2
Let i(z) be the first derivative of -z**6/14 - 3*z**5/35 + 15*z**4/7 + 20*z**3/7 - 96*z**2/7 - 192*z/7 - 292. What is u in i(u) = 0?
-4, -2, -1, 2, 4
Solve -2556*l - 7911 - 333*l**3 + 9183 + 413*l**4 - 410*l**4 + 1614*l**2 = 0 for l.
1, 2, 106
Let z = 14759 + -14756. Factor 45*l - 81/4 - 37/4*l**2 + 1/2*l**z.
(l - 9)**2*(2*l - 1)/4
Let w be 39 + -39 + (-14)/(-2) + 200/(-30). Find j such that 0*j + 2/3*j**2 + w*j**3 + 0 = 0.
-2, 0
Suppose -39*b = -30*b - 594. Let -4*m**2 + 20*m**3 - 19 - 9 - 21*m**2 - 7*m**2 + 12*m**4 - 2*m**5 - b*m = 0. Calculate m.
-1, 2, 7
Solve 131/8*n + 9/8*n**3 - 81/8*n**2 + 1/8*n**4 - 15/2 = 0.
-15, 1, 4
Let y(d) = 6*d**3 + 22*d**2 + 30*d - 305. Let 