 - 1/8*a**4 + 1/60*a**5 + 0*a**2. Let i(t) be the third derivative of s(t). Factor i(q).
-(q - 3)**2/3
Let u(w) be the third derivative of -w**10/756000 + w**9/50400 - w**8/11200 - w**5/10 + 34*w**2. Let r(i) be the third derivative of u(i). Factor r(v).
-v**2*(v - 3)**2/5
Let o be (-4)/6 - (3 - 2071/399). Factor 0 - 2/21*h**3 - o*h + 16/21*h**2.
-2*h*(h - 4)**2/21
Let x(q) = 10*q**2 - 5. Let n(k) = -k**3 - 10*k**2 + k + 6. Suppose -18 + 48 = 6*f. Let g(s) = f*n(s) + 4*x(s). Let g(v) = 0. What is v?
-2, -1, 1
Let r(m) be the first derivative of -4*m**3/3 - 18*m**2 - 32*m + 781. Find f such that r(f) = 0.
-8, -1
Let g(d) be the second derivative of -5*d**7/42 - d**6/3 - d**5/4 - 470*d. Let g(s) = 0. What is s?
-1, 0
Let b(t) be the second derivative of 0 - 1/100*t**5 + 0*t**2 - 1/15*t**4 - 1/10*t**3 - 5*t. Factor b(v).
-v*(v + 1)*(v + 3)/5
Determine j so that -399*j**2 + 895*j - 88 - 512 + 95*j - 15*j**3 - 11*j**4 + 38*j**4 - 3*j**5 = 0.
-4, 1, 2, 5
Let r = -594 - -2305/4. Let y = -489/28 - r. Factor 2/7*n**3 - 4/7*n**2 + 0 + y*n.
2*n*(n - 1)**2/7
Let s(b) be the third derivative of -b**7/105 - b**6/4 - 9*b**5/10 - 13*b**4/12 + 81*b**2. Factor s(m).
-2*m*(m + 1)**2*(m + 13)
Let m(a) be the third derivative of -a**8/840 + a**7/525 + a**6/100 - a**5/30 + a**4/30 + 2*a**2 + 3. Factor m(v).
-2*v*(v - 1)**3*(v + 2)/5
Let f be (75/55)/5*11. Let k(o) be the second derivative of 1/15*o**5 - 1/90*o**6 - 5/36*o**4 + 1/9*o**f + 0*o**2 + 0 + 11*o. Solve k(b) = 0.
0, 1, 2
Let n(k) = 4*k**2 - 4 + 3 - 86*k + 80*k. Let a be n(2). Factor 2/3*r**4 + 0 - 2/3*r**2 + 2/3*r**5 - 2/3*r**a + 0*r.
2*r**2*(r - 1)*(r + 1)**2/3
Suppose -5*q + 3*j + 1089 = 0, 0 = -0*q + 5*q - j - 1093. Solve -q - 4*l**4 + 219 - 20*l**3 + 4*l**5 - 12*l**2 = 0.
-1, 0, 3
Let z = 41/66 - -1/22. Let i(c) be the third derivative of 0 + 19/60*c**5 - 91/60*c**6 + 5/6*c**4 + 0*c - z*c**3 + 7/10*c**7 - 2*c**2. Factor i(n).
(n - 1)*(3*n + 1)*(7*n - 2)**2
Let w = 153/98 - 3/49. Factor 3/2*k**2 - 3/2 + 3/2*k**3 - w*k.
3*(k - 1)*(k + 1)**2/2
Let s(j) be the first derivative of 7 - 1/21*j**6 + 8/21*j**3 - 2/7*j**5 + 0*j - 3/7*j**4 + 8/7*j**2. Factor s(z).
-2*z*(z - 1)*(z + 2)**3/7
Let v(s) be the third derivative of -s**4/24 - 2*s**3/3 + 4*s**2. Let b be v(-4). Solve -12/7*k**4 + b - 16/7*k**3 - 2/7*k + 18/7*k**5 + 12/7*k**2 = 0.
-1, 0, 1/3, 1
Let k(c) be the second derivative of -c**5/35 + 2*c**4/21 + 27*c. Factor k(r).
-4*r**2*(r - 2)/7
Suppose -5*x = -3*d + 2, -18 = -5*d + 6*x - 5*x. Let m(i) be the second derivative of 1/8*i**3 + 1/48*i**4 + 0 + d*i + 0*i**2. Factor m(a).
a*(a + 3)/4
Let c be (-3 - 6/(-3))/(4/16). Let t be c/(-17) + (4 - (3 - -1)). Factor 2/17*d**2 + 0 + t*d.
2*d*(d + 2)/17
Let r(c) = -4*c**2 - 17*c - 4. Let q be r(-4). Suppose q = -51*j + 45*j + 18. Factor -j*l**3 + 3/5*l**2 + 3/5*l**5 + 12/5 + 24/5*l - 3/5*l**4.
3*(l - 2)**2*(l + 1)**3/5
Let u(r) be the second derivative of 1/32*r**4 - 35*r - 15/16*r**2 - 1/4*r**3 + 0. Solve u(y) = 0 for y.
-1, 5
Find r, given that -235/4*r + 35/2 - 35/4*r**2 = 0.
-7, 2/7
Let x(o) be the third derivative of -o**8/784 - 11*o**7/735 - 29*o**6/420 - 17*o**5/105 - 5*o**4/24 - o**3/7 + 3*o**2 + 69*o. Let x(s) = 0. What is s?
-3, -2, -1, -1/3
Suppose -9*t + 378 = -9. Factor 33 - t - 5*y**2 + 30*y - 35.
-5*(y - 3)**2
Suppose -4*g + 17 = -79. Let g*c**2 - 80*c**3 - 4*c**4 - 4*c**5 - 8*c**2 + 96*c**3 = 0. What is c?
-2, -1, 0, 2
Suppose -11/6*h**3 - 13/3*h**2 + 2/3*h**4 + 32/3*h - 16/3 + 1/6*h**5 = 0. What is h?
-4, 1, 2
Let d(s) be the third derivative of -1/270*s**5 + 0*s + 0 - 1/18*s**4 + 15*s**2 - 5/27*s**3. Factor d(t).
-2*(t + 1)*(t + 5)/9
Suppose -j - 4*p + 20 = 0, 76*j = 72*j - p + 5. Find a, given that j - 4/5*a**4 + 0*a - 4/5*a**3 + 0*a**2 = 0.
-1, 0
Let b(a) be the second derivative of -a**8/2184 - a**7/455 - a**6/260 - a**5/390 + 3*a**2 + 17*a. Let j(x) be the first derivative of b(x). Factor j(p).
-2*p**2*(p + 1)**3/13
Let i be (-15)/12 - 40/(-32). Let f(a) be the third derivative of 1/480*a**6 - 1/60*a**5 - 1/12*a**3 + 5/96*a**4 + 0*a + i - a**2. Factor f(j).
(j - 2)*(j - 1)**2/4
Let m = 523 + -520. Factor 0*p + 0 + 2/9*p**2 + 2/9*p**m.
2*p**2*(p + 1)/9
Let y(s) be the third derivative of 2/9*s**3 + 0 - 11*s**2 + 1/36*s**4 - 1/90*s**5 + 0*s. Let y(i) = 0. What is i?
-1, 2
Let v(s) = s - 15. Let z be v(13). Let j(m) = -m**3 - m**2 + 2*m + 3. Let c be j(z). Let -60/7*t - 36/7 - 4*t**2 - 4/7*t**c = 0. Calculate t.
-3, -1
Let a(f) be the third derivative of -f**5/270 + 17*f**4/54 - 289*f**3/27 + 39*f**2. Factor a(j).
-2*(j - 17)**2/9
Suppose 2*u + 4*l - 16 = 0, 2*u - 4*l + 8 = -0*u. Factor 1 - 4*s**4 + 4*s**2 - 2*s**3 + 4 - 5 + u*s**5.
2*s**2*(s - 2)*(s - 1)*(s + 1)
Let i(g) be the first derivative of 12 + 2/57*g**3 + 1/57*g**6 + 0*g**2 + 3/38*g**4 + 0*g + 6/95*g**5. Determine x, given that i(x) = 0.
-1, 0
Let b = 2424 - 1343. What is q in b + 4*q**2 - 181 + 44*q + 76*q = 0?
-15
Suppose -2*k = -k - 3. Suppose 50 = 2*t - 0. Factor -15 - 35*l - 6*l**3 + 4*l**3 - 3*l**k - t*l**2.
-5*(l + 1)**2*(l + 3)
Let s(m) = m**3 + 12*m**2 + 47*m + 87. Let n be s(-7). Find b, given that 3/2*b**n - 1/4*b**2 + 0 - 1/2*b = 0.
-1/2, 0, 2/3
Let c = -1789 - -1789. Let 0 - 1/6*f**2 + 0*f + c*f**3 + 1/6*f**4 = 0. What is f?
-1, 0, 1
Factor -914*r**2 - 2091*r - 1607*r + r**5 + 13*r**4 - 2*r**4 + 74*r**4 - 1107*r**2 + 1761*r**3.
r*(r - 2)*(r + 1)*(r + 43)**2
Let z(i) be the third derivative of -i**6/120 + 37*i**5/60 + 77*i**4/24 + 13*i**3/2 + 108*i**2. Let z(n) = 0. What is n?
-1, 39
Let a be -3 - (14/(-4) - 1). Suppose 3/2*z - a*z**3 + 0 + 3/2*z**2 - 3/2*z**4 = 0. Calculate z.
-1, 0, 1
Let m = 85 - 83. Solve 229*t**m + 24*t - 6*t - 232*t**2 = 0 for t.
0, 6
Let n be 8/36*21 - (-8)/(-12). Factor 48*z**n - 22*z**4 + 20*z**2 + 12*z - 30*z**4 + 4*z**3.
-4*z*(z - 3)*(z + 1)**2
Let p be (6/(-8))/(33/(-8)). Let q(h) be the first derivative of -2/55*h**5 - 4/11*h**3 + 4/11*h**2 + 2/11*h**4 - p*h + 5. Factor q(i).
-2*(i - 1)**4/11
Let m(b) be the first derivative of -2*b**5/5 - 27*b**4/2 + 58*b**3 - 89*b**2 + 60*b + 239. Factor m(w).
-2*(w - 1)**3*(w + 30)
Suppose -4*b - b = n - 13, -3*n = 2*b. Let f be 3 + (b + -1)*1. Factor 3*i**2 - i - 5*i**2 + f*i**2 - 2*i**3 + 6*i**3.
i*(i + 1)*(4*i - 1)
Suppose 120/11*a + 0 - 2/11*a**2 = 0. What is a?
0, 60
Let q = -21 - -43. Let u(s) = 19*s**2 - 43*s - 29. Let x(l) = 5*l**2 - 11*l - 7. Let g(t) = q*x(t) - 6*u(t). Find w, given that g(w) = 0.
-1, 5
Suppose -6 = -43*z + 40*z. Let w(x) be the third derivative of 1/30*x**5 + 0 + 0*x**3 + 1/105*x**7 - 6*x**z + 0*x - 1/30*x**6 + 0*x**4. Factor w(i).
2*i**2*(i - 1)**2
Let t(d) be the first derivative of 22 - 4*d - 7/2*d**2 + 1/4*d**4 - 2/3*d**3. Factor t(x).
(x - 4)*(x + 1)**2
Let f(l) be the second derivative of l**5/110 + l**4/33 + l**3/33 + 248*l. Let f(x) = 0. Calculate x.
-1, 0
Let p(j) be the third derivative of 10/3*j**3 + 40*j**2 + 0*j + 1/12*j**5 + 0 + 5/6*j**4. Determine a, given that p(a) = 0.
-2
Let g(y) be the third derivative of 1/360*y**6 + 0*y**4 + y**2 - 1/1008*y**8 + 3 + 0*y**5 + 0*y**7 + 0*y**3 + 0*y. Solve g(r) = 0 for r.
-1, 0, 1
Let g = -11 + -8. Let w = 21 + g. Factor -j**2 + 2*j**2 + 1 + j**w - 3.
2*(j - 1)*(j + 1)
Suppose 2*t**5 - 2*t**5 + 332*t**3 - 237*t**3 - 150*t**2 - 7*t**5 + 2*t**5 = 0. Calculate t.
-5, 0, 2, 3
Let o be (-1)/35*-605 - 15. Factor -o*v - 32/7 - 2/7*v**2.
-2*(v + 4)**2/7
Factor -2 - 1/3*g**2 - 5/3*g.
-(g + 2)*(g + 3)/3
Let 43*u**2 + 9*u**5 + 21*u + 35*u**5 - 16*u - 41*u**4 - 4 + 2 - 49*u**3 = 0. Calculate u.
-1, -1/4, 2/11, 1
Let i be (-3 + 7)*(-20)/(-768). Let c(p) be the third derivative of 1/6*p**3 + i*p**4 - 5*p**2 + 1/60*p**5 + 0*p + 0. Factor c(r).
(r + 2)*(2*r + 1)/2
Let g(y) = 12*y - 149. Let x be g(16). Suppose -8*v + x - 27 = 0. Factor -1/5*n**v + 1/5*n + 0.
-n*(n - 1)/5
Suppose 0 - 3/4*i**3 - 3/4*i + 3/2*i**2 = 0. Calculate i.
0, 1
Let l(n) = -n**2 - n. Let c(a) = 9*a**2 - 22*a + 56. Let w(s) = 3*c(s) + 24*l(s). Factor w(j).
3*(j - 28)*(j - 2)
Let s(h) = -95*h**2 + 176*h + 19. Let o(m) = 856*m**2 - 1584*m - 172. Let y(q) = -3*o(q) - 28*s(q). Find i, given that y(i) = 0.
-2/23, 2
Factor 27*m**2 + 47*m - 12*m**2 + 143*m + 347 - 10*m**2 + 1458.
5*(m + 19)**2
Let a(o) be the first derivative of -1/6*o**6 - 2/3*o**3 + o + 1/2*o**4 - 1/2*o**2 +