Factor 4*v**2 - 26*v + 34*v - 10*v**i - 2*v**3.
-2*v*(v - 1)*(v + 4)
Let h = 1051/2 - 525. Let v(b) be the first derivative of 12/5*b**5 - 4*b**3 + 0*b + 9/4*b**4 - 6*b**2 - 7 + h*b**6. Determine j, given that v(j) = 0.
-2, -1, 0, 1
Let d = 1033 + -1033. Let a(p) be the first derivative of d*p + 9/2*p**2 + p**3 - 7. Factor a(z).
3*z*(z + 3)
Let w(t) = 9*t**3 - 8*t**2 - 23*t + 13. Let b(g) = -19*g**3 + 16*g**2 + 45*g - 27. Let q(j) = 3*b(j) + 5*w(j). Factor q(r).
-4*(r - 1)**2*(3*r + 4)
Let y(q) be the first derivative of -q**2/2 + q - 5. Let v(p) = 507*p**2 + 162*p + 6. Let c(t) = v(t) + 6*y(t). Find k such that c(k) = 0.
-2/13
Let p = -38331/8335 - 2/1667. Let z = p + 24/5. Factor 0*x + z*x**2 + 0.
x**2/5
Let n(k) = -65*k**3 + 2000*k**2 + 45*k. Let g(w) = 3*w**3 - 91*w**2 - 2*w. Let u(i) = -45*g(i) - 2*n(i). Suppose u(y) = 0. Calculate y.
0, 19
Let y = -323/615 + 27/41. Let n(w) be the first derivative of 22/25*w**5 - y*w**6 - 8/5*w + 4/5*w**2 + 5 + 22/15*w**3 - 2*w**4. Find m, given that n(m) = 0.
-1/2, 1, 2
Let w(v) = 17*v**2 + 526*v - 29. Let o be w(-31). Suppose 3/2 + 1/4*u**3 - 1/2*u**o - 5/4*u = 0. Calculate u.
-2, 1, 3
Let l(q) be the third derivative of -3*q**7/70 - q**6/40 + 21*q**5/20 + 25*q**4/8 + 3*q**3 - 108*q**2. Let l(m) = 0. Calculate m.
-2, -1, -1/3, 3
Let o(j) be the first derivative of 2/5*j**2 + 0*j - 13 + 4/15*j**3. Solve o(a) = 0.
-1, 0
Let g(n) be the first derivative of -n**5 + 5*n**3 + 5*n**2 - 13. Solve g(a) = 0.
-1, 0, 2
Let j be (-3128)/(-442) - 1/13. Let n(p) = p**3 + 4*p**2 - 4*p + 7. Let c be n(-5). Factor -c + 12*l + 1 - j - 4*l**3.
-4*(l - 1)**2*(l + 2)
Let t(h) = h**3 + 15*h**2 - 15*h + 18. Let a be t(-16). Determine k so that 5 + 96*k**2 - 57*k + 75*k**a + 1 - 168*k**3 + 48*k**4 = 0.
1/4, 1, 2
Suppose -t - 10 + 18 = 0. Suppose -c + 3*d - 5 = -7, 4*c - t = -3*d. Find p, given that -2/9 + 10/9*p**c + 2/3*p**3 + 2/9*p = 0.
-1, 1/3
Let u(a) be the second derivative of 4*a**5/45 + 5*a**4/9 + 19*a**3/27 + a**2/3 - 96*a. Find c such that u(c) = 0.
-3, -1/2, -1/4
Suppose 5*n + 5*u = 10, 6 = 4*n - n + 5*u. Suppose -5 - 9 + n*o - 6*o + 2*o**2 - 8*o = 0. Calculate o.
-1, 7
Let c(d) be the first derivative of d**3/7 + 117*d**2/14 + 222*d/7 + 686. Factor c(q).
3*(q + 2)*(q + 37)/7
Let y(t) be the second derivative of -t**4/4 + 8*t**3 + 2*t - 2. Let y(o) = 0. What is o?
0, 16
Let c(l) be the second derivative of l**5/80 - 11*l**4/24 + 5*l**3/3 - 2*l - 123. What is y in c(y) = 0?
0, 2, 20
Let w be (247/26 + -11)*-2. Let -6/13*v**w + 0 + 0*v - 4/13*v**2 - 2/13*v**4 = 0. Calculate v.
-2, -1, 0
Let q be (-4 - -1 - -1) + 15/3. Let k(v) be the third derivative of 1/2*v**q + 1/16*v**4 - v**2 + 0 + 0*v - 1/40*v**5. Solve k(p) = 0.
-1, 2
Let s(c) be the second derivative of -1/3*c**4 + 0 + 3*c - 4/3*c**3 - 8/3*c**2 - 1/30*c**5. Suppose s(f) = 0. Calculate f.
-2
Let y(p) be the second derivative of 0*p**2 + 39*p - 1/5*p**5 - 4/3*p**3 - p**4 + 0. Let y(b) = 0. What is b?
-2, -1, 0
Let o(k) = 11*k**2 + 9*k + 31. Let n be o(-3). Let a = n + -409/4. Determine m so that -1/4*m**3 + a*m**2 + 0 - 1/2*m = 0.
0, 1, 2
Find w, given that 4/7*w**4 - 408/7 - 1212/7*w**2 + 396/7*w**3 + 1220/7*w = 0.
-102, 1
Let u(h) be the second derivative of h**4/114 + 2*h**3/19 + 9*h**2/19 - 7*h. Solve u(w) = 0.
-3
Solve 36*n**3 + 3/2*n**5 - 54*n**2 + 0 + 0*n + 33/2*n**4 = 0.
-6, 0, 1
Let v(w) = -42*w**2 + 30*w. Let d(u) = -2*u**2 + u. Let r(m) = -44*d(m) + 2*v(m). Factor r(k).
4*k*(k + 4)
Let n = 4761 - 9517/2. Let -n*u**2 - u - 1/2*u**3 + 3/2*u**5 + 5/2*u**4 + 0 = 0. Calculate u.
-1, -2/3, 0, 1
Suppose -n + 2 = 2*q, -6 + 17 = 3*n + q. Suppose 8 = 5*y + n*w - 3, 5 = 2*y + w. Factor -10*d**2 + d**2 + 0*d**2 - 12*d - 4 - 3*d**2 - 4*d**y.
-4*(d + 1)**3
Let t(m) be the third derivative of m**7/42 + 5*m**6/24 - m**5/2 - 465*m**2. Factor t(q).
5*q**2*(q - 1)*(q + 6)
Suppose -131 = 5*y - 151. Let a(r) be the first derivative of 1/18*r**y + 0*r**3 + 0*r + 1 - 1/9*r**2. Factor a(x).
2*x*(x - 1)*(x + 1)/9
Suppose 8*z - 136 = -0*z. Suppose 2*c - z = -1. Factor -c - 1/2*k**2 + 4*k.
-(k - 4)**2/2
Let x(q) = -8*q**2 - 2*q**3 + 8*q**2. Let i(t) = -23*t**3 + t**2 + t - 1. Let b(v) = -2*i(v) + 22*x(v). Factor b(a).
2*(a - 1)**2*(a + 1)
Let v(i) = i**2 - 12*i - 28. Let c be v(15). Let x = 20 - c. Find s such that -7/4*s**2 - 2*s + 1 + 5/4*s**x = 0.
-1, 2/5, 2
Let i be ((-15)/(-5))/(6/10). Let s(f) be the third derivative of -3*f**2 - 1/300*f**6 - 1/30*f**4 + 0 + 1/50*f**i + 0*f + 0*f**3. Find r such that s(r) = 0.
0, 1, 2
Let q = 2/14571 + 14563/58284. Find d, given that 1/4 - 1/2*d**2 + 1/2*d**3 - 1/4*d**5 + 1/4*d**4 - q*d = 0.
-1, 1
Let v(t) = 4*t + 60. Let b be v(-17). Let o be b*(18/(-48) + 0). Factor 4/5*w - 2/5*w**o - 2/5*w**2 + 0.
-2*w*(w - 1)*(w + 2)/5
Let m(v) = -2*v**2 - 6*v - 6. Let b be m(-4). Let t be (-6)/4*b/63. Factor 1/3*g**4 - t*g**2 - 1/3*g + 1/3*g**3 + 0.
g*(g - 1)*(g + 1)**2/3
Let s be (-2)/(-5) + 192/(-135)*-3. Let o(v) be the first derivative of -6/5*v**5 - 8*v - 1/2*v**4 - 8 + 0*v**2 + s*v**3 + 1/3*v**6. What is z in o(z) = 0?
-1, 1, 2
Let m(w) = w**2 + 2*w + 2. Let l be m(0). Factor 22*c**3 - 37*c**3 + 19*c**3 - 8*c**l.
4*c**2*(c - 2)
Suppose 3*g + 11 = 5. Let l be (4 - 6) + (3 - g). Solve 4*m**2 - m**2 + 0*m + l + 4*m + 2*m = 0 for m.
-1
Let b = 745 + -1487/2. Let t(n) be the first derivative of -4 + 1/18*n**3 + b*n + 1/2*n**2. Solve t(f) = 0 for f.
-3
Let o(s) be the second derivative of s**6/2340 - s**4/39 - 4*s**3/3 + 27*s. Let a(z) be the second derivative of o(z). Factor a(l).
2*(l - 2)*(l + 2)/13
Let w(b) be the first derivative of 5*b**3/3 + 40*b**2 - 285*b + 292. Let w(j) = 0. What is j?
-19, 3
Let m(a) = -a**2 + 2*a + 5. Let j be m(3). Suppose l - 4*l - l = 0. Factor 2/3*x - 1/3*x**j + l.
-x*(x - 2)/3
Let f(s) be the first derivative of s**8/2520 + s**7/1260 - s**6/270 + 5*s**3 - 15. Let v(n) be the third derivative of f(n). Let v(q) = 0. Calculate q.
-2, 0, 1
Let j(x) be the second derivative of -2*x**7/21 - 4*x**6/3 - 34*x**5/5 - 52*x**4/3 - 74*x**3/3 - 20*x**2 - 51*x - 2. Factor j(h).
-4*(h + 1)**3*(h + 2)*(h + 5)
Let v(x) be the first derivative of 2*x**3/3 + 3*x**2 - 8*x - 58. Factor v(r).
2*(r - 1)*(r + 4)
Let l(f) be the third derivative of f**8/6720 + f**7/1680 - f**6/480 + f**3 + 2*f**2. Let t(b) be the first derivative of l(b). Factor t(d).
d**2*(d - 1)*(d + 3)/4
Let m(a) = a**2 + a. Let u(d) = -8*d**2 + 17*d - 15. Let k(h) = 3*m(h) + u(h). Find y such that k(y) = 0.
1, 3
Let j(y) = -y + 2. Let r be j(-3). Factor r - 54*t**3 - 39*t + 1 + 5 - 3*t**5 + 66*t**2 - 2 + 21*t**4.
-3*(t - 3)*(t - 1)**4
Let p(v) be the third derivative of v**5/20 + 12*v**4 - 98*v**3 - 920*v**2. Find u, given that p(u) = 0.
-98, 2
Let h = 15 + -2. Suppose -4*i = -4*q + 40, 5*q + 3*i - 47 = q. Suppose 0*n + q*n**2 - 2*n**3 + 0*n - h*n**2 = 0. Calculate n.
-1, 0
Let m(h) be the second derivative of -5*h**7/42 + h**5 + 5*h**4/6 - 5*h**3/2 - 5*h**2 - 198*h. Solve m(w) = 0.
-1, 1, 2
Let v(o) = -8*o + 90. Let l be v(11). Suppose 12 = -l*h + 7*s - 11*s, -3 = h + s. Determine t so that -1/3*t**3 + 0 + 1/3*t**2 + h*t = 0.
0, 1
Let v(t) be the first derivative of t**5/5 + t**4/4 - 8*t**3/3 - 6*t**2 + 645. Factor v(o).
o*(o - 3)*(o + 2)**2
Suppose -12 = 46*b - 50*b. Factor 3190*o**4 + 81*o**2 - 3193*o**4 - 7*o**3 - 114*o - 5*o**b + 48.
-3*(o - 2)*(o - 1)**2*(o + 8)
Let p(y) be the first derivative of y**8/3360 - y**6/360 + y**4/48 - 10*y**3/3 + 2. Let u(l) be the third derivative of p(l). Let u(c) = 0. Calculate c.
-1, 1
Suppose 0 = -3*i + 2*k + 19, 4*i - 3*i + 3*k = -12. Let z be (4 - 6) + i - -1. Factor 5*r**z - 4*r**3 - 21*r**2 + 8*r**3 - 13*r - 8 + 33*r.
4*(r - 2)*(r - 1)**2
Let u = -15 - -20. Suppose 4*j - 2*j = 4, 5*j + 40 = u*q. Suppose z**5 - 3*z**5 + q*z**2 - 6*z**3 + 4*z**5 - 4*z - 2*z**4 = 0. Calculate z.
-2, 0, 1
Let p = -388 - -395. Let v(j) be the third derivative of 6/5*j**6 + 3*j**2 - 6*j**4 - 23/10*j**5 - 9/2*j**3 + 0*j - 9/70*j**p + 0. Solve v(s) = 0 for s.
-1/3, 3
Let d(a) be the third derivative of -10*a**2 - 49/5*a**6 - 4/3*a**4 + 0 + 28/5*a**5 + 0*a**3 + 98/15*a**7 + 0*a. Determine y so that d(y) = 0.
0, 2/7
Let f(r) be the second derivative of r**8/6720 + r**7/1260 - r**6/720 - r**5/60 + 11*r**4/6 + 16*r. Let x(n) be the third derivative of 