Solve d*v + 6/7*v**2 - 32/7 - 1/7*v**3 = 0 for v.
-2, 4
Let u(c) be the first derivative of 3/8*c**4 + 27/4*c**2 - 6*c - 3*c**3 - 31. Solve u(w) = 0 for w.
1, 4
What is m in 0*m**2 - 127*m - 3*m**2 + 58*m + 51*m + 3*m**3 = 0?
-2, 0, 3
Let c(i) be the second derivative of 121/2*i**2 + 33*i + 1/12*i**4 + 0 - 11/3*i**3. Factor c(b).
(b - 11)**2
Let y(g) = -2*g**2 + 25*g - 22. Let c(b) = 3*b**2 - 37*b + 34. Let f(a) = -5*c(a) - 7*y(a). Factor f(t).
-(t - 8)*(t - 2)
Let f(h) = 20 + 12*h - 24*h**2 - 21*h**2 + 47*h**2. Let g(m) = -1. Let r(v) = -2*f(v) - 4*g(v). Factor r(a).
-4*(a + 3)**2
Let b(m) be the first derivative of -5/18*m**4 + 0*m**2 + 0*m - 21 - 8/45*m**5 - 4/27*m**3 - 1/27*m**6. Factor b(c).
-2*c**2*(c + 1)**2*(c + 2)/9
Let a(h) = -10*h**2 - 9*h + 19. Suppose -6 - 3 = -q - u, 2*q - 33 = -5*u. Let y(o) = 5*o**2 + 4*o - 9. Let r(n) = q*a(n) + 9*y(n). Factor r(l).
5*(l - 1)*(l + 1)
Let c be -2*((-41)/200 - 22/(-275)). Factor -1/12*r**3 - 1/4*r + 1/12 + c*r**2.
-(r - 1)**3/12
Let k(j) = -6 + j**2 + 14 + 6*j + 2*j**2. Let h(u) = -14*u + 3*u**2 + 9 + 30*u - 10*u. Let r(x) = -5*h(x) + 6*k(x). Determine g, given that r(g) = 0.
-1
Factor 0 - 2/5*z**4 + 4/5*z - 2*z**2 + 8/5*z**3.
-2*z*(z - 2)*(z - 1)**2/5
Let i(a) be the first derivative of 3*a**5/25 - 21*a**4/20 + 12*a**3/5 + 115. Determine h, given that i(h) = 0.
0, 3, 4
Let f(r) be the third derivative of r**7/42 - 13*r**6/12 + 71*r**5/4 - 715*r**4/6 + 1210*r**3/3 + 31*r**2 - 3*r. Factor f(q).
5*(q - 11)**2*(q - 2)**2
Let u(i) be the first derivative of 0*i**2 - 1/6*i**3 - 3*i + 1/24*i**4 - 5 + 1/40*i**5. Let n(r) be the first derivative of u(r). Suppose n(d) = 0. What is d?
-2, 0, 1
Let h be (3660/16)/(-5) - 15/(-20). Let k = h + 47. Let -1/2*r**k + 1/2 + 0*r = 0. Calculate r.
-1, 1
Let j(t) be the second derivative of t**7/3360 - t**5/480 - 17*t**3/6 - 16*t. Let x(q) be the second derivative of j(q). Factor x(h).
h*(h - 1)*(h + 1)/4
Let a(t) be the second derivative of 5/6*t**3 - 5/3*t**4 + 5/2*t**2 - t**5 + 0 + 6*t. Factor a(v).
-5*(v + 1)*(2*v - 1)*(2*v + 1)
Let t(b) be the third derivative of b**6/170 - 7*b**5/510 - 5*b**4/102 + 8*b**2 + 6*b. Suppose t(a) = 0. What is a?
-5/6, 0, 2
Suppose -3*r + 30 = -4*q, 19 - 31 = 3*r + 3*q. Find h, given that -32/7*h + 128/7 + 2/7*h**r = 0.
8
Suppose 242/7*i**4 + 96/7*i**2 + 0 - 8/7*i - 330/7*i**3 = 0. Calculate i.
0, 2/11, 1
Let p(w) be the second derivative of 9/10*w**2 + 1/5*w**3 - 1/20*w**4 + 11*w + 0. Solve p(i) = 0 for i.
-1, 3
Suppose 0 = 2*f + b, 0 = -26*f + 27*f - 5*b. Factor 0*a + f + 2/5*a**2.
2*a**2/5
Determine y so that -524*y - 7592 - y**2 - 22369 - 17388 - 3571 - 17724 = 0.
-262
Let g(x) be the first derivative of -4*x**5/5 + 4*x**4 - 4*x**3 - 8*x**2 + 16*x - 437. Factor g(l).
-4*(l - 2)**2*(l - 1)*(l + 1)
Let q(a) be the second derivative of -6/7*a**2 + 8/7*a**3 + 31/28*a**4 + 0 - 32*a + 33/140*a**5. Suppose q(d) = 0. Calculate d.
-2, -1, 2/11
Let -i - 5*i**3 - 14*i**2 - 33*i - 6*i**2 + 14*i = 0. Calculate i.
-2, 0
Let f be 1 + (-3)/(-1) - 0. Determine j, given that 2*j**3 - 9*j**2 + 0*j**3 + 3*j - 5*j + 7*j**5 - 7*j**3 + 9*j**f = 0.
-1, -2/7, 0, 1
Let d(u) be the third derivative of -u**7/105 + u**6/30 + u**5/10 - u**4/3 - 4*u**3/3 - u**2 - 99. Suppose d(q) = 0. What is q?
-1, 2
Let f = -3/355 - -361/710. Factor -3/2 + 1/2*v - f*v**3 + 3/2*v**2.
-(v - 3)*(v - 1)*(v + 1)/2
Let a(o) be the third derivative of -o**5/12 + 25*o**4/12 + 55*o**3/6 + 174*o**2. Factor a(m).
-5*(m - 11)*(m + 1)
Let p = 83 - -125. Let z = 210 - p. Let 0 + 0*q - 4/3*q**4 + 5/3*q**3 - 2/3*q**z + 1/3*q**5 = 0. Calculate q.
0, 1, 2
Suppose 5*n + 9 = -2*s, 3*s + 5 = 3*n - 2*n. Let c be s/(-8) - 7/(-4). What is j in 9/4 + 3/2*j + 1/4*j**c = 0?
-3
Let x = -1774 + 5323/3. Factor -l + 0 - 4/3*l**2 - x*l**3.
-l*(l + 1)*(l + 3)/3
Let a(n) be the second derivative of 27*n**6/5 - 117*n**5/10 - 223*n**4/3 + 212*n**3/3 - 24*n**2 + 34*n. Factor a(o).
2*(o - 3)*(o + 2)*(9*o - 2)**2
Suppose 190*y = 192*y + 22. Let h(t) = -6*t**2 + 20*t - 36. Let s(b) = b**2 - 4*b + 7. Let p(i) = y*s(i) - 2*h(i). What is k in p(k) = 0?
-5, 1
Let n = 10598 - 10596. Find i, given that 0 - i - 1/3*i**n = 0.
-3, 0
Suppose 17 + 3 = 4*u. Suppose -27 = -4*l + u*j, -4*l - 3*j + 1 = -2. Let l*x**3 - x**3 + 2*x**2 - 3*x**3 - 4*x**2 = 0. What is x?
-2, 0
Factor 1 - 3699*n**4 - 1 + 3701*n**4 + 12*n**2 + 6*n**2 - 12*n**3 - 8*n.
2*n*(n - 4)*(n - 1)**2
Let a(l) be the second derivative of -l**7/7560 + l**6/720 - l**5/180 - 7*l**4/12 - 6*l. Let y(z) be the third derivative of a(z). Solve y(g) = 0 for g.
1, 2
Let d be 2 - (-4)/(-4) - (-4)/(-7). Let w(a) be the second derivative of 4/5*a**6 + 0 - 2/3*a**4 - 1/3*a**3 + 0*a**2 - d*a**7 + 1/5*a**5 - 3*a. Factor w(r).
-2*r*(r - 1)**2*(3*r + 1)**2
Suppose -18 + 73 = 11*m. Let x(h) be the first derivative of 0*h + 0*h**3 - 3/2*h**4 - 1 + 0*h**m + 1/2*h**6 + 3/2*h**2. Solve x(d) = 0.
-1, 0, 1
Suppose 3*k - 12 = -0. Let o be (-2)/(k/8*-1). Factor 33*m**2 - 36*m**2 - 3*m - m**3 + 3 + o*m**3.
3*(m - 1)**2*(m + 1)
Let q(a) = -a**2 + a + 158. Let f be q(-12). Let l(w) be the second derivative of -2/5*w**5 - 2*w**2 - 11/3*w**3 + 0 - 13/6*w**4 - f*w. Factor l(j).
-2*(j + 1)*(j + 2)*(4*j + 1)
Solve 0 + 3/10*v**2 - v + 1/10*v**3 = 0.
-5, 0, 2
Let t(z) = -z**2 - 32*z + 18. Let h(n) = 2*n**2 + 33*n - 17. Let p(f) = -6*h(f) - 7*t(f). Factor p(k).
-(k - 4)*(5*k - 6)
Let l(j) be the second derivative of -2*j**7/21 + 2*j**6/5 - j**5/5 - j**4 + 4*j**3/3 - 55*j. Suppose l(i) = 0. What is i?
-1, 0, 1, 2
Let n(t) be the third derivative of t**6/780 + t**5/78 + t**4/26 - 61*t**2 + 2*t. Solve n(k) = 0.
-3, -2, 0
Let g(x) be the second derivative of 1/10*x**2 + 0 + 1/60*x**4 + 1/15*x**3 - 10*x. Factor g(u).
(u + 1)**2/5
Let v(s) be the second derivative of s**6/105 + 2*s**5/35 + s**4/42 - 2*s**3/7 + 128*s. Determine p, given that v(p) = 0.
-3, -2, 0, 1
Let u(r) = -1 - 7*r**2 + 3*r + 6*r**2 + 0*r**2 + r. Let d be u(3). Solve 5*o**3 - 4*o - 8*o**2 - 8*o**4 - d*o**2 + 17*o**3 = 0.
-1/4, 0, 1, 2
Let g = 8019/7 - 21817/21. Find k, given that 560*k + g + 1715/3*k**3 + 980*k**2 = 0.
-4/7
Let q = -71 - -43. Let j = 30 + q. Factor -3/5*c - 9/5*c**3 + 9/5*c**j + 0 + 3/5*c**4.
3*c*(c - 1)**3/5
Let f be ((-6)/4)/((-6)/20). Suppose 0 = 4*t + 5*v - 6, 5*t - 2*v = 19 + f. Factor 9*p**2 + 10*p**4 - 9*p**t + 6*p - 4*p**4.
-3*p*(p - 2)*(p + 1)**2
Let j = 15 + -13. Suppose -4*l**j - 30 + 3 - 32*l - 1 = 0. Calculate l.
-7, -1
Let i = -509/36 + 61/4. Determine m, given that i*m**3 + 4/9 + 14/9*m + 2*m**2 + 2/9*m**4 = 0.
-2, -1
Let l = -20 + 24. Factor l*h**4 + 10*h**5 + 5*h - 5*h**2 - 15*h**3 + h**4 - 5*h**5 + 5*h.
5*h*(h - 1)**2*(h + 1)*(h + 2)
Suppose -3*t + 22 = 31. Let c(f) = -4*f**3 + 4*f**2 - 5*f - 5. Let g(r) = r**3 + 1. Let w(s) = t*c(s) - 15*g(s). Factor w(x).
-3*x*(x - 1)*(x + 5)
Solve -2/3 + 16/9*i**4 - 22/9*i - 10/9*i**2 + 22/9*i**3 = 0 for i.
-1, -3/8, 1
Factor -18*u**2 + 54*u + 3/2*u**3 - 48.
3*(u - 8)*(u - 2)**2/2
Let w(p) = -p**3 + 9*p**2 - p + 9. Let g(v) = -v**3 - 7*v**2 + 7*v + 1. Let l be g(-8). Let s be w(l). Factor 0 + s*c**2 + 0*c + 2/9*c**3 - 2/9*c**5 + 0*c**4.
-2*c**3*(c - 1)*(c + 1)/9
Let b(q) be the third derivative of -q**6/20 - 3*q**5/20 + 29*q**4/8 - 15*q**3 + q**2 - 165*q. Suppose b(i) = 0. What is i?
-5, 3/2, 2
Let s be 6/((-210)/(-581)) - 16. Solve -3/5 + 6/5*u - s*u**2 = 0.
1
Factor 102/13 + 100/13*c - 2/13*c**2.
-2*(c - 51)*(c + 1)/13
Let i be (14/63)/(1/1 + 3). Let l(u) be the third derivative of 1/30*u**5 + 0 + 1/18*u**3 + 1/90*u**6 + i*u**4 + 0*u + 1/630*u**7 + 6*u**2. Factor l(a).
(a + 1)**4/3
Let n be -3 - -7*1165/(-20). Let z = n - -415. Determine w, given that -7/4*w**3 - 9/4*w**5 + 4*w + 1 + z*w**2 - 21/4*w**4 = 0.
-1, -2/3, 1
Let n(v) = 563*v + 2. Let y be n(0). Solve 3/2*h**3 - 3/2 - 3/2*h + 3/2*h**y = 0.
-1, 1
Let d(o) be the second derivative of o**8/36960 + o**7/4620 + o**6/1320 + o**5/660 - 5*o**4/12 + 2*o. Let g(u) be the third derivative of d(u). Factor g(c).
2*(c + 1)**3/11
Let o be (-2838)/(-1485) - (-36)/(-20). Determine g, given that -20/9*g - o*g**2 - 100/9 = 0.
-10
Factor 1584/7*g + 4/7*g**3 - 2592/7 - 152/7*g**2.
4*(g - 18)**2*(g - 2)/7
Let p(r) = -r**2 + 1. Let i(k) = 2*k + 2*k + 3*k - 6*k**2 - 5*k + 4. Let d(m) = 4*i(m) - 28*p(m). Factor d(g).
4*(g - 1