rivative of -y**6/120 - 13*y**5/60 - 7*y**4/3 - 40*y**3/3 - 171*y**2. Solve l(g) = 0 for g.
-5, -4
Let s(a) be the third derivative of 30*a**2 + 0 - 1/1008*a**8 + 1/1890*a**7 + 1/360*a**6 - 1/540*a**5 + 0*a + 0*a**3 + 0*a**4. Solve s(m) = 0 for m.
-1, 0, 1/3, 1
Let k(u) = -2*u - u**2 - 4*u + 0 + 2. Let a be k(-6). What is z in z**2 - 4*z**a + 68*z - 62*z = 0?
0, 2
Let w be (124/155)/(22/(-20) + 24/16). Factor -12/11*b**w - 2/11*b + 2/11.
-2*(2*b + 1)*(3*b - 1)/11
Let r be (2*-1*(-191)/(-4584))/((-2)/112). Solve -1/3*h**2 + r + 13/3*h = 0 for h.
-1, 14
Let g = 3/44 - 59/1188. Let w(s) be the third derivative of 1/54*s**4 - 3*s**2 + g*s**5 + 0*s + 0*s**3 + 1/135*s**6 + 1/945*s**7 + 0. Factor w(u).
2*u*(u + 1)**2*(u + 2)/9
Let p be 2/5 - 2793/7695. Let i(s) be the second derivative of -2/9*s**2 - p*s**3 + 0 - 3*s + 1/54*s**4. What is b in i(b) = 0?
-1, 2
Let a(i) be the first derivative of i**3/15 - i**2 + 24*i/5 - 7. Factor a(n).
(n - 6)*(n - 4)/5
Let m(r) = -12*r**2 - 418*r - 3468. Let a(i) = 4*i**2 + 139*i + 1156. Let k(p) = -10*a(p) - 3*m(p). Determine o, given that k(o) = 0.
-17
Let r = -89335/21 + 4255. Let s = r - 2/7. Suppose -4/9 - s*l - 2/9*l**2 = 0. What is l?
-2, -1
Let m(g) be the second derivative of -g**4/21 - 20*g**3/21 + 150*g**2/7 - 167*g. Factor m(a).
-4*(a - 5)*(a + 15)/7
Let l = -19188 - -76345/4. Let d = -101 - l. Factor -1/2*s + 0 - d*s**2.
-s*(3*s + 2)/4
Let b be 1230/(-164)*(-8)/210. Let x(t) = 4*t - 1. Let i be x(1). Solve -b*g**i - 4/7*g + 0 + 6/7*g**2 = 0 for g.
0, 1, 2
Let o(x) = 3*x**3 + 47*x**2. Let u(t) = -t**3 - 17*t**2. Let w(j) = 4*o(j) + 11*u(j). Suppose w(q) = 0. Calculate q.
-1, 0
Let q = -115/3 - -39. Let t(n) be the first derivative of 4/3*n**2 + q*n + 3 + 2/3*n**3. What is i in t(i) = 0?
-1, -1/3
Suppose 8*z = z - 399. Let s = 60 + z. Factor 0 + 0*j - 1/5*j**s - 2/5*j**2.
-j**2*(j + 2)/5
Let n = 8848/3 - 2948. Factor -4/3*y**3 + 0*y**2 + n*y + 0.
-4*y*(y - 1)*(y + 1)/3
Let u(i) = -7*i**3 - 4*i**2. Let j be 4/(-24)*21 + 6/(-4). Suppose 4 = -3*h + 1. Let d(s) = s**3. Let n(v) = h*u(v) + j*d(v). Solve n(g) = 0 for g.
-2, 0
Let c(z) = 5*z - 1 - 6*z**2 + 1 + 4. Suppose -d = 4*d + 10. Let v(f) = -f**2 - f + 1. Let k(a) = d*v(a) + c(a). Factor k(r).
-(r - 2)*(4*r + 1)
Let y be 4 + (-1 - (-1)/(-1)). Let p = 23 - 21. Solve 4 - y*w**p - 5 + w**2 + 2 = 0 for w.
-1, 1
Suppose -13 - 7 = -5*g. Suppose -2*m + 4 = g. Suppose 0*t**2 - 1/3*t**3 + m + 1/3*t = 0. Calculate t.
-1, 0, 1
Suppose 0 = -8*r + 4*r + 20. Factor -2 + 20*u - 17 - r*u**2 - 5 + 9.
-5*(u - 3)*(u - 1)
Let d = 1932 + -3855/2. Let -6*r**2 - 9/2*r - d*r**5 + 3 + 3*r**4 + 9*r**3 = 0. What is r?
-1, 2/3, 1
Let u(q) = -5*q**4 + 33*q**2 + 43*q + 15. Let w(o) = 32*o**2 - 97*o**2 + 8*o**4 + 2*o**4 - 85*o - 30. Let g(c) = -5*u(c) - 3*w(c). Factor g(h).
-5*(h - 3)*(h + 1)**3
Let m(k) be the first derivative of 0*k + 1/4*k**4 + 1/60*k**5 - 3 + 3/2*k**2 + 3/2*k**3. Let c(x) be the second derivative of m(x). Solve c(q) = 0 for q.
-3
Let p(f) = -3*f**2 - 1 - 5 + f**2 + 22*f - 12*f**2 + 4*f**3. Let m(n) = 3*n**3 - 13*n**2 + 22*n - 7. Let c(x) = 6*m(x) - 5*p(x). Find q such that c(q) = 0.
-6, 1
Let i(j) be the first derivative of j**3/6 + 113*j**2/4 - 1029. Solve i(c) = 0 for c.
-113, 0
Let w(c) = -2*c**3 + c**2 + c - 1. Let z(o) = -5*o**4 + 39*o**3 - 32*o**2 - 142*o + 202. Let d(r) = -2*w(r) - z(r). Factor d(a).
5*(a - 5)*(a - 2)**2*(a + 2)
Let q(u) be the first derivative of 4*u**3/3 - 18*u**2 + 32*u - 14. Factor q(p).
4*(p - 8)*(p - 1)
Let i(b) = -b**2 - 12*b - 33. Let n be i(-6). Let 6*x**3 - 6*x**3 - 30*x**2 - 4*x**3 - x**n + 5*x**4 = 0. What is x?
-2, 0, 3
Let n(m) be the second derivative of -12*m - 24*m**2 + 0 - 1/4*m**4 - 4*m**3. Factor n(s).
-3*(s + 4)**2
Let y = 20 - 21. Let w(s) = 4*s**5 + 4*s**4 + s**3 - 5*s**2 - 2*s + 1. Let j(t) = t**5 + t**4 + t**3 - t**2 - t. Let r(f) = y*w(f) + 3*j(f). Factor r(x).
-(x - 1)**2*(x + 1)**3
Let l(s) = -s**2 - 7*s + 5. Let x(b) = -4*b + 3. Let m(r) = -7*r + 5. Let f(a) = 3*m(a) - 5*x(a). Let w(u) = 22*f(u) - 2*l(u). Factor w(y).
2*(y - 5)*(y + 1)
Let a = -63 - -62. Let d(n) = n**4 + n**2. Let v(r) = 60*r**4 + 32*r**3. Let y = -14 - -10. Let c(t) = a*v(t) + y*d(t). Factor c(i).
-4*i**2*(4*i + 1)**2
Let c(f) be the third derivative of -f**6/8 + 13*f**5/12 + 20*f**4/3 - 10*f**3 + 8*f**2 + 4*f. Solve c(q) = 0 for q.
-2, 1/3, 6
Suppose 4 = -2*c, 2*q = -4*c + 8*c + 12. Let n(b) be the first derivative of 6 + 0*b - 2/3*b**3 - 1/2*b**q. Factor n(w).
-w*(2*w + 1)
Let u(y) = 6*y**3 - 14*y**2 + 14*y. Let t(v) = 10*v - 81. Let k be t(9). Let c(s) = -25*s**3 + 55*s**2 - 57*s. Let d(x) = k*u(x) + 2*c(x). Factor d(n).
4*n*(n - 3)*(n - 1)
Suppose -12*j = -31 + 7. Let u(d) be the first derivative of -3/4*d**4 + 3 + 0*d**5 + 0*d**3 + 1/2*d**6 + 0*d + 0*d**j. Factor u(b).
3*b**3*(b - 1)*(b + 1)
Let l(a) be the first derivative of -a**6/3 - 4*a**5 - 15*a**4 + 135*a**2 + 324*a + 187. Suppose l(q) = 0. Calculate q.
-3, 2
Let w(h) be the second derivative of -h**5/20 + h**4/4 - 9*h**2/2 + 31*h. Let q(l) be the first derivative of w(l). Factor q(b).
-3*b*(b - 2)
Let a(b) = 19*b**2 - b - 52. Let h(q) = 7*q**2 - 19. Let o(j) = -3*a(j) + 8*h(j). Find w such that o(w) = 0.
-1, 4
Let r be (-7 - 365/(-50))*5. Let i(g) be the second derivative of -g**4 + 5/2*g**3 + 0 + 5*g - r*g**2. Suppose i(o) = 0. What is o?
1/4, 1
Let k(f) be the second derivative of -11*f**5/60 - f**4/4 + 4*f**3/3 - 2*f**2/3 + 130*f. Factor k(u).
-(u - 1)*(u + 2)*(11*u - 2)/3
Let q be 6*(5/(-10) - 5/(-8)). Let m(x) be the first derivative of -q*x**4 - 3 + 0*x**2 + 0*x**3 + 0*x + 3/5*x**5. Solve m(z) = 0 for z.
0, 1
Let m = 105 - 101. Let w(o) be the third derivative of -1/30*o**5 - 2/3*o**3 - 1/4*o**m - 3*o**2 + 0*o + 0. Let w(l) = 0. Calculate l.
-2, -1
Let i(f) = -f**2 - 42*f - 401. Let p be i(-15). Factor 0 - 1/5*r**5 + 0*r + 1/5*r**3 + 1/5*r**2 - 1/5*r**p.
-r**2*(r - 1)*(r + 1)**2/5
Let h(m) be the second derivative of -m**4/48 - 79*m**3/6 - 6241*m**2/2 - 2*m - 97. Factor h(p).
-(p + 158)**2/4
Let n = -2594/5 + 519. Factor -n*x**2 + 4/5*x - 3/5.
-(x - 3)*(x - 1)/5
Let p(i) be the third derivative of 2*i**7/735 - 17*i**6/105 + 156*i**2. Solve p(b) = 0.
0, 34
Let y(s) = -s + 18. Let j = 114 + -98. Let q be y(j). Suppose 4/7*g**2 + 2*g**5 + 0 - q*g**3 + 0*g - 4/7*g**4 = 0. Calculate g.
-1, 0, 2/7, 1
Let x(f) be the second derivative of 7/30*f**5 + 0 + 0*f**2 + 2/3*f**4 + 4*f - 4/9*f**3. Find a, given that x(a) = 0.
-2, 0, 2/7
Let o(j) be the second derivative of -1/6*j**3 - 1/42*j**7 + 0*j**2 + 3*j + 2/15*j**6 - 3/10*j**5 + 0 + 1/3*j**4. Solve o(s) = 0.
0, 1
Suppose 3*d = -d. Let q be 12 + -1 - (-1 - d). Solve 5*y**2 + 12*y**3 + 3*y - 6*y**2 + q*y**2 + 4*y**2 = 0 for y.
-1, -1/4, 0
Suppose 7 = b - 3*j - 9, -2*b - 3*j = 4. Suppose 0 + 0*k + 2/7*k**b + 0*k**2 + 2/7*k**3 = 0. What is k?
-1, 0
Let r be 10 - (0 + (-8 - -16)). Let m(y) be the first derivative of 1/18*y**6 + 0*y + 0*y**r + 11 + 0*y**3 + 1/12*y**4 + 2/15*y**5. Factor m(w).
w**3*(w + 1)**2/3
Suppose 4*u + 2*i + 6 = 42, -2*u + 18 = 2*i. Suppose 5 - 2*z + 4 - u + 2*z**2 = 0. What is z?
0, 1
Let j = 14854/20995 - 2/1235. Factor -18/17 - j*t - 2/17*t**2.
-2*(t + 3)**2/17
Let r(w) be the second derivative of w**7/1260 - w**6/180 + w**4/3 + w. Let g(o) be the third derivative of r(o). Factor g(t).
2*t*(t - 2)
Let t be 1/2*6 + 5 + -4. Solve -3*f + 45*f**3 + 33*f**4 - 22*f**4 - 2*f - 21*f**t - 45*f**2 + 15 = 0.
-1/2, 1, 3
Let s(p) be the second derivative of 1/9*p**6 - 4/3*p**2 - 7/30*p**5 - 1/63*p**7 + 0 - p + 8/9*p**3 - 1/18*p**4. Let s(g) = 0. What is g?
-1, 1, 2
Suppose 0 = 3*q - 5*q. Let v(g) = g**3 + 3*g**2 - 3*g + 6. Let n be v(-4). Factor h**3 - 5*h**3 + q*h**n - 4*h**2.
-4*h**2*(h + 1)
Solve -201/4*c + 24*c**2 + 3/4*c**3 + 51/2 = 0.
-34, 1
Factor -13*t**4 + 204*t**2 - 40*t**3 + 15*t**4 - 4*t**2.
2*t**2*(t - 10)**2
Let z(o) be the third derivative of o**6/720 - o**5/60 + o**4/16 + 16*o**3/3 + 6*o**2. Let d(c) be the first derivative of z(c). Let d(g) = 0. Calculate g.
1, 3
Let h(y) be the third derivative of -y**6/1260 + y**5/210 - y**4/84 + y**3/6 + 14*y**2. Let k(c) be the first derivative of h(c). Factor k(g).
-2*(g - 1)**2/7
Let f(x) be the first derivative of x**4 - 8*x**3/3 + 53. Factor f(p).
4*p**2*(p - 2)
Let q(a