t 3/7*v**5 + 0*v**x + 0 + 9/7*v**4 + 6/7*v**3 + 0*v = 0.
-2, -1, 0
Suppose -36 = -t - t. Solve -t*f**3 + 14*f**4 - 10*f**2 + 18*f - 4 + 7*f**2 - 7*f**2 = 0 for f.
-1, 2/7, 1
Let c = 1099/5520 + 1/1104. Determine s so that -c*s**2 - 7/5 + 8/5*s = 0.
1, 7
Let i(o) be the third derivative of -1/30*o**6 - 3/20*o**5 + 11*o**2 - 1/6*o**3 + 0*o + 0 - 1/4*o**4. Find d such that i(d) = 0.
-1, -1/4
Suppose -f**2 + 4*f**3 + 700*f - 720*f - 12 - 3*f**2 = 0. Calculate f.
-1, 3
Let y(s) = -7*s**2 + 20*s - 7. Let w(k) = 48*k**2 - 136*k + 48. Let t(a) = 3*w(a) + 20*y(a). Factor t(c).
4*(c - 1)**2
Factor 2/13*x**5 - 40/13*x**2 + 20/13*x**4 + 50/13*x**3 + 128/13 - 160/13*x.
2*(x - 1)**2*(x + 4)**3/13
Let m be (-91)/252*-28 - (1 + (0 - -6)). Factor -64/9*b**2 + m*b**4 + 4/9*b**5 + 32/9*b**3 + 0*b + 0.
4*b**2*(b - 1)*(b + 4)**2/9
Let f(t) be the second derivative of 3*t**6/2 + 4*t**5 - 5*t**4/3 - 155*t. Factor f(a).
5*a**2*(a + 2)*(9*a - 2)
Let y = -256266/7 - -36610. Find m, given that -2/7*m**2 - y*m + 0 = 0.
-2, 0
Let p(z) be the second derivative of -z**5/120 + z**4/12 + z**3 + 10*z**2/3 + 5*z + 4. Let p(f) = 0. Calculate f.
-2, 10
Let v = 146 - 142. Let t(u) be the third derivative of 0*u - 2*u**2 + 0 + 0*u**v + 0*u**3 + 1/240*u**5. Determine g, given that t(g) = 0.
0
Let g(y) = -37*y**4 - 75*y**3 + 13*y**2 + 3*y - 3. Let s(v) = 36*v**4 + 75*v**3 - 14*v**2 - 4*v + 4. Let c(m) = -4*g(m) - 3*s(m). Factor c(d).
5*d**2*(d + 2)*(8*d - 1)
Let x(f) be the third derivative of -f**7/840 + f**6/120 - f**5/60 + 40*f**2 + 1. Factor x(q).
-q**2*(q - 2)**2/4
Let j be ((-4)/(-9))/(84/108). Factor 12/7*b**2 + j*b**3 - 16/7 + 0*b.
4*(b - 1)*(b + 2)**2/7
Suppose -2*w + 3*a = -6, 6*w + 2 = 7*w - a. Let x(u) be the first derivative of 1 + 0*u**2 + w*u - 1/3*u**3 + 1/8*u**4. Determine r, given that x(r) = 0.
0, 2
Let l(w) be the second derivative of w**4/6 + 4*w**3/3 - 21*w**2 + w - 27. What is u in l(u) = 0?
-7, 3
Factor -20/7*a - 2/7*a**2 - 18/7.
-2*(a + 1)*(a + 9)/7
Let b(y) be the second derivative of y**4/96 + 5*y**3/8 + 29*y**2/16 - 56*y + 1. Let b(w) = 0. Calculate w.
-29, -1
Suppose -6*m + 24 = -4*m. Let o(w) be the first derivative of -6*w**2 + w**3 - 2 - w**3 + w**3 + m*w + 10. Factor o(n).
3*(n - 2)**2
Let p be (38/(-4))/((-236)/177). Let u(f) be the first derivative of 21/10*f**5 + 9 + 15/2*f**3 + p*f**4 + 3/4*f**2 - 3*f. What is y in u(y) = 0?
-1, 2/7
Let k = 38621/301 - 216/43. Let l = k + -123. Solve 2/7 + 2/7*q**3 - 2/7*q**2 - l*q = 0 for q.
-1, 1
Let m(c) be the first derivative of -c**7/420 - c**6/60 - c**5/20 - c**4/12 - 11*c**3/3 + 19. Let b(f) be the third derivative of m(f). Factor b(d).
-2*(d + 1)**3
Let l(q) be the second derivative of -5*q**7/84 - q**6/3 - q**5/2 + 81*q. Let l(i) = 0. What is i?
-2, 0
Suppose -6*s + 420 = 408. Factor 0 + 1/5*t**s + 1/5*t.
t*(t + 1)/5
Let 8*b + 10*b - b**3 + 13*b**2 + 12*b - 3*b + 15 + 2*b = 0. What is b?
-1, 15
Let s(x) be the first derivative of x**4/6 - 92*x**3/3 + 2116*x**2 - 194672*x/3 - 128. Solve s(r) = 0 for r.
46
Let i(x) be the third derivative of -x**6/16 + 3*x**5/40 + x**4/8 + 19*x**2 + 1. Factor i(k).
-3*k*(k - 1)*(5*k + 2)/2
Let k(r) be the first derivative of r**5/40 + r**4/8 - 2*r**3 + 7*r**2 - r + 30. Let z(s) be the first derivative of k(s). What is u in z(u) = 0?
-7, 2
Factor 12 - 43*d**3 - 2*d**2 + 8 - 32 + 38*d + 31*d**3.
-2*(d + 2)*(2*d - 3)*(3*d - 1)
Let v(w) be the second derivative of w**4/60 + 32*w**3/15 + 62*w**2/5 - 69*w. Factor v(a).
(a + 2)*(a + 62)/5
Suppose -3*s - 9 = -0*s. Let u be ((-28)/6 + 3)*s. What is p in -1 - 12*p**2 - u*p**3 + 6*p**3 + 10*p - p**4 + 5*p**3 - 2 = 0?
1, 3
Suppose 31 = 3*x + 22. Let p(q) be the second derivative of 1/15*q**6 - 2/5*q**5 + 0*q**x - 7*q + 2/3*q**4 + 0 + 0*q**2. Solve p(n) = 0.
0, 2
Let u be -1*(-3 + 9 + -11). Let f(q) be the third derivative of 8*q**2 + 0 + 0*q + 0*q**3 + 1/180*q**u + 1/72*q**4. Factor f(v).
v*(v + 1)/3
Find w such that 27*w**2 + 6*w - 10*w**4 - 24*w**4 + 21*w**3 + w**4 - 27*w**5 + 6*w**2 = 0.
-1, -2/9, 0, 1
Let r(m) be the second derivative of m**4/108 + 5*m**3/18 + 7*m**2/9 - 12*m. Factor r(i).
(i + 1)*(i + 14)/9
Let z = 17731/15 - 1182. Let p(f) be the third derivative of 0*f + 5*f**2 + 0 + z*f**5 - 1/2*f**4 + 4/3*f**3. Factor p(l).
4*(l - 2)*(l - 1)
Let r(o) be the third derivative of o**8/21 - 38*o**7/105 - o**6/6 + 16*o**5/3 - 22*o**4/3 - 32*o**3/3 + 621*o**2. Determine f so that r(f) = 0.
-2, -1/4, 1, 2, 4
Let o(n) be the second derivative of 2*n**6/75 - 2*n**5/25 - 8*n**4/15 + 12*n**3/5 - 18*n**2/5 + 3*n - 4. Factor o(c).
4*(c - 3)*(c - 1)**2*(c + 3)/5
Let j be (-4)/14*-13 - (-2)/7. Factor -k**j + 14*k**5 - 7*k**4 - 4*k**3 - 18*k**5.
-4*k**3*(k + 1)**2
Suppose 184 = -8*w + 31*w. Let g(f) be the first derivative of -w + 2/7*f**3 + 0*f + 0*f**2 - 1/14*f**4. Let g(r) = 0. What is r?
0, 3
Let w = -109851/92 + 1194. Let t = w + 205/644. Factor -2/7 - 4/7*h - t*h**2.
-2*(h + 1)**2/7
Factor 2/21*g**2 + 10/21*g + 8/21.
2*(g + 1)*(g + 4)/21
Let i = -3905086/77 - -50698. Let j = 204/11 + i. Solve -4/7*y**3 + j*y**2 + 4/7*y - 8/7 = 0 for y.
-1, 1, 2
Find z such that -54*z**3 + 1776*z**2 + 111*z**4 - 421*z + 165*z - 2970*z**3 - 149*z**4 - 158*z**4 = 0.
-16, 0, 2/7
Let c(v) be the first derivative of -v**5/60 - 5*v**4/36 - 7*v**3/18 - v**2/2 - v + 15. Let p(o) be the first derivative of c(o). Factor p(r).
-(r + 1)**2*(r + 3)/3
Let r(g) be the third derivative of g**7/105 + g**6/20 - 8*g**5/15 + g**4 - 3*g**2 + 20*g. Factor r(o).
2*o*(o - 2)*(o - 1)*(o + 6)
Determine b, given that -864/7 + 48/7*b - 2/21*b**2 = 0.
36
Suppose 0 = -3*l + 5*x - 9, 3*l + 3*x - 11 - 4 = 0. Determine p, given that 6 + 11*p - 6*p - 13*p + 4*p**2 - l*p**2 = 0.
1, 3
Determine f, given that 27*f**3 + 14*f**5 - 18*f**5 - 13*f - 7*f**3 - 3*f = 0.
-2, -1, 0, 1, 2
Suppose 0 = -x + 13 - 18, -j = -2*x - 14. Factor -3/2*f**j - f**3 + f**2 + 1/2 - 1/2*f**5 + 3/2*f.
-(f - 1)*(f + 1)**4/2
Suppose -3*l - 220 = -5*b, 2*b - b - 66 = 5*l. Suppose b*a + 3 - 2 - 43*a + a**2 = 0. Calculate a.
1
Find k such that 0*k**2 - 10*k**3 + 0*k**3 - 4*k**5 + 5*k**5 - 16*k**2 + 28*k**4 - 21*k**4 = 0.
-8, -1, 0, 2
Let u(f) = -9*f**2 - 54*f - 127. Let q(y) = -3*y**2 - 18*y - 44. Let c(w) = 11*q(w) - 4*u(w). Determine v, given that c(v) = 0.
-4, -2
Factor 41/2*t**2 + 25/2*t - 1 + 7*t**3.
(t + 1)*(t + 2)*(14*t - 1)/2
Let q be 8/5*(-75)/(-30). Let a(m) be the second derivative of 0 + 1/12*m**4 + m**2 + 1/2*m**3 - q*m. Let a(y) = 0. Calculate y.
-2, -1
Let w be 247/26 - -9 - (-10)/(-2). Find c such that w*c**2 - 39/4*c + 3/2 - 15*c**4 + 39/4*c**3 = 0.
-1, 1/4, 2/5, 1
Suppose -3 = -j - l, -2*j - 5*l + 11 = 2*j. Let u be 2/(-9) + (-1 - 22/(-18)). Suppose 16/3*t**j - 4*t**3 + u + 2/3*t + 0*t**2 - 2*t**5 = 0. Calculate t.
-1/3, 0, 1
Let x(q) be the first derivative of -q**5/40 - q**4/24 + q**3/12 + q**2/4 + 48*q - 46. Let y(u) be the first derivative of x(u). Let y(k) = 0. What is k?
-1, 1
Let z be ((-6)/1)/((-1)/2 - -2). Let h be 1*0/(z/1). Factor 1/3*d**3 + h*d + d**2 - 4/3.
(d - 1)*(d + 2)**2/3
Let s(i) be the third derivative of -i**6/60 - 2*i**5/15 + i**4/12 + 4*i**3/3 - 2*i**2 - 105. Factor s(b).
-2*(b - 1)*(b + 1)*(b + 4)
Solve 500 + 1/5*y**2 - 20*y = 0 for y.
50
Let c be 24/9 - (-308)/(-154). Factor 0*n + 0 + 2/3*n**4 - 2/3*n**2 - c*n**3 + 2/3*n**5.
2*n**2*(n - 1)*(n + 1)**2/3
Let c(y) be the second derivative of -1/210*y**6 + y + 0*y**5 + 0 + 4/21*y**3 + 1/14*y**4 + 3/14*y**2. Factor c(r).
-(r - 3)*(r + 1)**3/7
Let m be 32/12 - 11/(-33). Let k(l) be the third derivative of 0*l**m + 1/30*l**5 + 7*l**2 + 0 - 1/12*l**4 + 0*l. Factor k(h).
2*h*(h - 1)
Let p(v) be the first derivative of -v**4/20 + v**3/3 - 7*v**2/10 + 3*v/5 - 21. Let p(n) = 0. Calculate n.
1, 3
What is j in 0 + 2/7*j**3 - 20/7*j**2 + 50/7*j = 0?
0, 5
Let c(h) be the second derivative of h**6/2340 - h**5/260 - h**3/3 + 7*h. Let l(v) be the second derivative of c(v). What is s in l(s) = 0?
0, 3
Determine q, given that 354/5*q**2 + 12*q**3 + 3/5*q**4 + 108*q + 243/5 = 0.
-9, -1
Suppose -4*g + 100 = -4*k - 9*g, -3*k + 2*g - 52 = 0. Let j be (-18)/k - (-5)/((-40)/4). Factor 6/5*c - j*c**2 + 8/5.
-2*(c - 4)*(c + 1)/5
Let w(l) = 11*l**5 + l**4 - 8*l**3 - 13*l**2 + 16*l + 16. Let t(z) = 2*z**5 - z**2. Let b(o) = -5*t(o) + w(o). Factor b(j).