ine j so that 8/7 + 6/7*j**4 + 16/7*j - 34/7*j**3 - 2*j**2 + 18/7*j**5 = 0.
-1, -2/3, 1
Let o = -2 + 4. Let j be (o/(-3))/((-2)/6). Factor -2*f**3 + 4*f**2 - 7*f**4 - 3*f + 3*f**5 + 3*f**4 + j*f.
f*(f - 1)**2*(f + 1)*(3*f - 1)
Let m be (-7)/(-1) + 26/(-4). Factor 0 + m*r**3 + 2*r - 2*r**2.
r*(r - 2)**2/2
Let g(c) be the third derivative of c**8/1008 - c**7/630 - c**6/360 + c**5/180 + 6*c**2. Factor g(f).
f**2*(f - 1)**2*(f + 1)/3
Let t(l) be the third derivative of 0*l + 0 - 1/15*l**3 - 1/75*l**5 + 1/24*l**4 + 1/600*l**6 - 3*l**2. Factor t(p).
(p - 2)*(p - 1)**2/5
Let y(s) = -5*s**2 + s - 2. Let t be y(1). Let x be (105/t)/5 - -4. What is v in -3/4*v**3 + 3/4*v - 1/2*v**2 + x = 0?
-1, -2/3, 1
Let x(l) be the second derivative of l**9/22680 + l**8/2240 + 11*l**7/7560 - l**5/90 - l**4/3 + 7*l. Let r(z) be the third derivative of x(z). Factor r(k).
(k + 1)*(k + 2)**2*(2*k - 1)/3
Let g(h) be the second derivative of -h**6/75 - h**5/50 + h**4/30 + h**3/15 - 35*h. Factor g(z).
-2*z*(z - 1)*(z + 1)**2/5
Let b = -21/5 + 103/15. Suppose 2*k**3 + 4/3 - 10/3*k - b*k**2 = 0. Calculate k.
-1, 1/3, 2
Solve 0*j**3 - j - 5 - 2*j**2 + 5 - j**3 = 0 for j.
-1, 0
Let s(c) = -c**3 + 4*c**2 + c - 2. Suppose 0 = 4*w - w - 12. Let y be s(w). Factor 2/7*m**y + 0 + 2/7*m.
2*m*(m + 1)/7
Let l be (-84)/(-45) + 10/75. Suppose l*r = -2*r. Let -1/2 + 0*j + j**2 + r*j**3 - 1/2*j**4 = 0. What is j?
-1, 1
Let n(p) be the second derivative of -1/9*p**2 + 1/27*p**3 - p + 0 + 1/27*p**4. Solve n(f) = 0.
-1, 1/2
Factor -1/3*c**5 + 2/3*c**3 - 1/3*c + 0 + 0*c**4 + 0*c**2.
-c*(c - 1)**2*(c + 1)**2/3
Let p(w) = w**2 - 8*w - 235. Let y be p(20). Factor 0*c**2 - c**4 + 1/2*c**y + 0*c + 0 + 1/2*c**3.
c**3*(c - 1)**2/2
Let c(k) = k**2 + k. Let m(n) = n**3 + 8*n**2 + 14*n - 1. Let j(z) = 44*c(z) - 4*m(z). Factor j(p).
-4*(p - 1)**3
Let x(g) = -g**2 + g - 4. Let z be x(0). Let c be 2/z*(3 + -5). Factor 2*f - 2*f**3 + f**4 - 3 + c + 1.
(f - 1)**3*(f + 1)
Suppose 4*d - 4*m - 15 - 1 = 0, 3*m = d - 4. Find t, given that 0*t + 0*t**d - t**3 + 2/3*t**2 + 1/3*t**5 + 0 = 0.
-2, 0, 1
Let q(h) be the third derivative of h**6/36 + h**5/20 - h**4/6 - h**3/2 + h**2. Let w(p) be the first derivative of q(p). Factor w(y).
2*(y + 1)*(5*y - 2)
Suppose 0 = 4*k - k - 6. Let i(h) = h**2 - 7*h + 9. Let q be i(6). Solve -6*a**k - a + q*a + a = 0.
0, 1/2
Let j be -3 + 1 + 192/126. Let x = 4/21 - j. Let x*c + 0 + 2/3*c**2 = 0. Calculate c.
-1, 0
Let p(i) be the second derivative of -i**6/900 + i**5/150 + i**4/20 - i**3/3 + 7*i. Let w(s) be the second derivative of p(s). Determine b so that w(b) = 0.
-1, 3
Let l = 43 + -27. Let -14*u**3 - l*u**2 - 5*u**3 - 2*u - 10*u**3 - 3*u**3 = 0. What is u?
-1/4, 0
Let c(z) = -20*z**3 + 8*z**2 + 8*z. Let o(j) = -13*j**3 + 5*j**2 + 5*j. Let g(t) = -5*c(t) + 8*o(t). Find v, given that g(v) = 0.
0
Let l(w) be the second derivative of 0 + w**2 - 2*w + 0*w**3 - 1/6*w**4. Let l(b) = 0. Calculate b.
-1, 1
Let d(w) be the first derivative of 3*w + 0*w**2 - 1/20*w**5 + 0*w**3 - 3 - 1/6*w**4. Let r(k) be the first derivative of d(k). Factor r(v).
-v**2*(v + 2)
Let s = -49/12 - -563/132. Factor 2/11*v**3 + 6/11*v + s + 6/11*v**2.
2*(v + 1)**3/11
Let j = 1/12 + 7/6. Factor -1/2 + 11/4*b**2 - 7/2*b**3 + j*b.
-(b - 1)*(2*b + 1)*(7*b - 2)/4
Factor -1/3*q**3 + 2/3*q - 1/3*q**2 + 0.
-q*(q - 1)*(q + 2)/3
Let 0 + 2/5*f + 2/5*f**3 + 4/5*f**2 = 0. Calculate f.
-1, 0
Let r(g) be the first derivative of -5*g**6/6 - g**5 + 5*g**4/2 + 10*g**3/3 - 5*g**2/2 - 5*g + 16. Factor r(d).
-5*(d - 1)**2*(d + 1)**3
Let x = 7/34 - -87/238. Suppose 0 = -5*v - 4*i + 4, 0*v + 3*v + 4*i = 4. Factor v + 10/7*g**2 + x*g.
2*g*(5*g + 2)/7
Let v(s) = -s**2 - 9*s - 5. Let w be v(-7). Let l = w + -6. Solve 2*h + h**3 - 2*h**l - 2*h = 0.
0
Let t(i) be the third derivative of -i**5/60 - i**4/12 + i**3/2 - 11*i**2. Factor t(r).
-(r - 1)*(r + 3)
Factor -16*g**2 + 20*g**2 + 32*g**2 + 8 + 4*g**4 + 20*g**3 + 28*g.
4*(g + 1)**3*(g + 2)
Let u be 6/100*(-8)/(-18). Let i(a) be the second derivative of 0*a**4 + 0*a**2 + 1/50*a**5 + a + 1/105*a**7 + u*a**6 + 0 + 0*a**3. Factor i(h).
2*h**3*(h + 1)**2/5
Let p(v) be the second derivative of -v**5/15 - v**4/6 + v**2/3 + 9*v. Factor p(a).
-2*(a + 1)**2*(2*a - 1)/3
Let l(y) be the third derivative of 4*y**2 - 1/12*y**4 + 1/210*y**7 + 0*y - 1/30*y**5 - 1/672*y**8 + 0*y**3 + 0 + 1/80*y**6. Suppose l(a) = 0. What is a?
-1, 0, 2
Let h(x) be the second derivative of -1/12*x**3 - 1/24*x**4 + 0*x**2 - 8*x - 1/20*x**6 + 0 + 1/8*x**5. Find m, given that h(m) = 0.
-1/3, 0, 1
Let l(t) be the second derivative of t**6/30 - t**5/10 + 46*t. Factor l(a).
a**3*(a - 2)
Let k(y) be the first derivative of -y**4/36 + y**3/18 + 3*y + 3. Let r(n) be the first derivative of k(n). Let r(x) = 0. Calculate x.
0, 1
Let n = -4 + 16. Let y be ((-33)/110)/(n/(-10)). Factor -1/4*r**5 + y*r**4 + 0*r + 0 - 1/4*r**2 + 1/4*r**3.
-r**2*(r - 1)**2*(r + 1)/4
Let h(u) be the first derivative of -5*u**3/6 + 13*u**2 - 10*u - 21. Factor h(f).
-(f - 10)*(5*f - 2)/2
Let s = -4 - -9. Let a(u) be the third derivative of -1/210*u**6 + 0 + 0*u**7 + 0*u + 1/84*u**4 - 2*u**2 + 0*u**3 + 0*u**s + 1/1176*u**8. Solve a(p) = 0.
-1, 0, 1
Suppose -3*v + 147 = 4*v. Let t be v/9 + (-8 - -6). Solve 0 - 2/3*h**3 + 1/3*h**4 + t*h**2 + 0*h = 0.
0, 1
Factor -4*b**3 + 8*b**2 - 55 + 3*b**3 - 13*b + 61.
-(b - 6)*(b - 1)**2
Let z be (2 - -1)/39 - 0. Let r = 33/91 - z. Determine h, given that -2/7*h**3 + 2/7*h - r*h**2 + 2/7 = 0.
-1, 1
Suppose -2*s - 25 = -5*i, 0*s + 10 = 2*i + s. Suppose 10 = -0*w + i*w. Factor 1/2*q**3 - 2 + 0*q + 3/2*q**w.
(q - 1)*(q + 2)**2/2
Let r(b) be the second derivative of -b**6/105 - b**5/35 - b**4/42 - 2*b. Suppose r(s) = 0. What is s?
-1, 0
Let o(y) = -18*y**4 + 36*y**3 - 27*y**2 + 3*y + 3. Let v(w) = -36*w**4 + 73*w**3 - 53*w**2 + 6*w + 5. Let c(u) = 5*o(u) - 3*v(u). Factor c(q).
3*q*(q - 1)**2*(6*q - 1)
Suppose 2*h + 2 - 12 = 0. Let d = h - 3. Let j(u) = -3*u**2 + 4*u - 1. Let q(r) = 10*r**2 - 13*r + 3. Let v(o) = d*q(o) + 7*j(o). Find n, given that v(n) = 0.
1
Let f = -13 + 7. Let h be 2/(-7)*(f + -10). Suppose -h*d**2 - 16/7*d - 2/7 = 0. Calculate d.
-1/4
Let b(s) be the third derivative of -s**6/540 + s**5/270 + s**4/27 - 4*s**3/27 - 4*s**2. Let b(x) = 0. What is x?
-2, 1, 2
Let u = -3 - 17. Let j be ((-27)/9)/(18/u). What is h in -j*h**3 + 14/9*h**2 - 2/9*h + 0 - 8/9*h**5 + 26/9*h**4 = 0?
0, 1/4, 1
Let k(l) be the third derivative of -l**7/280 + l**6/240 + l**5/240 - 2*l**2. Factor k(p).
-p**2*(p - 1)*(3*p + 1)/4
Suppose 45 = 12*x - 9*x. Suppose -x = -5*f + 5*k, 3*f - 5*k - 11 = -0*f. Factor 0*m**f - 4/9*m**3 + 2/3*m**5 + 0*m + 0 + 2/9*m**4.
2*m**3*(m + 1)*(3*m - 2)/9
Let l be (-5 - -2 - 0)*-1. What is m in -1/2*m + 0 + 1/2*m**l + 0*m**2 = 0?
-1, 0, 1
Factor -11*u**3 + 11*u + 15*u**3 + u - 16*u**2.
4*u*(u - 3)*(u - 1)
Let j(k) be the third derivative of -k**7/315 + k**6/180 + k**5/30 - k**4/36 - 2*k**3/9 + 10*k**2. Determine p, given that j(p) = 0.
-1, 1, 2
Find w such that 8/5*w - 16/5 + 2/5*w**4 - 2*w**3 + 12/5*w**2 = 0.
-1, 2
Let v = 1181/2 - 590. Factor -7/4*h**4 + 4*h**3 + v*h - 11/4*h**2 + 0.
-h*(h - 1)**2*(7*h - 2)/4
Let l be (-45)/(-50) + 5/(75/(-6)). Factor -l*q**2 + 1 - 1/2*q.
-(q - 1)*(q + 2)/2
Let q = 3 - 1. Suppose 7*y - 10*y = -12. Factor 3*n**4 + q*n**2 + 0*n**y - 5*n**4.
-2*n**2*(n - 1)*(n + 1)
Suppose -11 - 1 = -3*l. Let b be (16/(-56))/(1/(-7)). Factor -2/3*p**b + 2/3*p**l + 0 + 2/3*p**5 - 2/3*p**3 + 0*p.
2*p**2*(p - 1)*(p + 1)**2/3
Suppose -20/3*l - 10/3 - 5/6*l**3 - 25/6*l**2 = 0. Calculate l.
-2, -1
Factor 16*m**4 - 16*m**3 + 24*m**2 - 16*m + 4 + 9*m**4 - 21*m**4.
4*(m - 1)**4
Let a = -43 - -25. Let p = a + 21. Factor 1/4*x**p - 1/4 + 1/4*x**2 - 1/4*x.
(x - 1)*(x + 1)**2/4
Solve 0 + 0*d - 2/11*d**2 = 0 for d.
0
Let n(b) = -5*b**2 - 2*b + 10. Let r(q) = 9*q**2 + 3*q - 19. Let z(v) = -11*n(v) - 6*r(v). What is o in z(o) = 0?
-2
Let v be (-10)/6 - (4 - 6). Let a(r) be the first derivative of r**2 + v*r**3 + 1 + r. Find c such that a(c) = 0.
-1
Solve -8/3*a**4 - 2*a**5 + 12*a**2 + 4/3 + 16/3*a**3 + 22/3*a = 0 for a.
-1, -1/3, 2
Let u(b) be the first derivative of 8/5*b - 4*b**2 + 6/25*b**5 + 58/15*b**3 - 4 - 8/5*b**4. Let u(k) = 0. What is k?
1/3, 1, 2
Let u(s) be the second derivative of s**5/10 - s**4