*4 - 108/7*f = 0.
-1, 0, 6
Let n be (-81)/(-22) - 252/72. Factor 3/11*w - n*w**2 - 2/11*w**3 + 3/11*w**4 - 1/11 - 1/11*w**5.
-(w - 1)**4*(w + 1)/11
Let t(a) be the third derivative of 1/40*a**5 + 0*a - 10*a**2 + 0*a**3 + 0 - 1/8*a**4. Determine w so that t(w) = 0.
0, 2
Let i(p) be the third derivative of p**9/52920 + p**8/23520 - p**7/17640 - p**5/12 + 11*p**2. Let n(b) be the third derivative of i(b). Factor n(z).
2*z*(z + 1)*(4*z - 1)/7
Factor -2/5*l**4 - 34/5*l**2 - 4*l - 16/5*l**3 + 0.
-2*l*(l + 1)*(l + 2)*(l + 5)/5
Let 27*h - 9 - 129*h + 13 - 4*h**2 + 102*h**3 = 0. What is h?
-1, 2/51, 1
Let k(l) be the second derivative of l**6/50 + 4*l**5/25 + l**4/4 - l**3/5 - 4*l**2/5 - 10*l - 3. Factor k(c).
(c + 1)**2*(c + 4)*(3*c - 2)/5
Let u(j) be the second derivative of -j**7/42 + 2*j**6/15 - j**5/10 - j**4/3 + j**3/2 - 20*j - 2. Factor u(o).
-o*(o - 3)*(o - 1)**2*(o + 1)
Let o = 1117 - 1114. Solve -1/4*k**5 - 3/2*k**o + k**4 + 0 - 1/4*k + k**2 = 0.
0, 1
Suppose 3*r - 4*r - 18 = -2*c, -3*c - 4*r + 49 = 0. Let t = c - 10. Find f such that 1 - 4*f - 2*f**2 - t + 0 = 0.
-2, 0
Let y(p) be the second derivative of -2*p**6/15 - 6*p**5/5 - 3*p**4 - 8*p**3/3 + 82*p. Factor y(s).
-4*s*(s + 1)**2*(s + 4)
Factor -48*s**2 + 2344*s + 0*s**3 + 30 + 7*s**3 + 2*s**3 - 2335*s.
3*(s - 5)*(s - 1)*(3*s + 2)
Let j be (11/(-20))/1*5/(-3). Let o = -19/60 + j. Factor -1/5 - 2/5*f + o*f**2.
(f - 1)*(3*f + 1)/5
Let x(i) be the second derivative of -i**6/25 - 9*i**5/100 + i**3/10 + 39*i. Determine f so that x(f) = 0.
-1, 0, 1/2
Let g(d) be the third derivative of -d**7/504 + 5*d**6/144 + d**5/4 + 3*d**4/4 - 6*d**2. Let o(q) be the second derivative of g(q). Let o(r) = 0. Calculate r.
-1, 6
Let b(h) = -3*h**3 - 19*h**2 - 18*h - 6. Suppose 2*n = -2*n - 8. Let c(q) = -5*q**3 - 39*q**2 - 37*q - 13. Let g(f) = n*c(f) + 5*b(f). Solve g(j) = 0.
-2, -1, -2/5
Factor -4/5*x**4 - 224/5*x**2 + 68/5*x**3 + 208/5*x + 0.
-4*x*(x - 13)*(x - 2)**2/5
Let w be -5 + 6 + ((-268)/(-88) - 4). Let s(d) be the first derivative of 1/33*d**6 - 6 + 0*d**2 - 2/33*d**3 + 0*d - w*d**4 + 2/55*d**5. What is c in s(c) = 0?
-1, 0, 1
Let t(c) be the first derivative of 2*c**5/65 + 3*c**4/13 - 8*c**3/13 - 70*c**2/13 + 150*c/13 - 177. Suppose t(h) = 0. Calculate h.
-5, 1, 3
Let s(z) be the first derivative of -2*z**3/3 - 62*z**2 - 1922*z + 41. Factor s(o).
-2*(o + 31)**2
Let v(y) be the second derivative of 2/35*y**5 + 0*y**2 - 11*y + 1/42*y**4 + 0*y**3 + 0. Determine s so that v(s) = 0.
-1/4, 0
Suppose -f - 5 - 67 = 0. Let n = -50 - f. Solve -6*j**3 + 10*j**4 - 4*j + n*j**3 + 0*j + 0*j + 2*j**2 = 0 for j.
-1, 0, 2/5
Find w, given that 62*w**3 + 80*w - 18*w**4 - 102*w**2 + 2*w**5 - 114 - 91 + 181 = 0.
1, 2, 3
Let m(f) be the third derivative of f**6/420 + 13*f**5/210 + 11*f**4/42 - 190*f**2. Factor m(h).
2*h*(h + 2)*(h + 11)/7
Let n(z) be the third derivative of -z**9/16632 + z**7/2310 - z**5/660 - z**3 - 2*z**2. Let w(d) be the first derivative of n(d). Factor w(t).
-2*t*(t - 1)**2*(t + 1)**2/11
Let x(p) be the first derivative of p**4/14 - 20*p**3/21 + 13*p**2/7 + 48*p/7 - 514. Determine y so that x(y) = 0.
-1, 3, 8
Let i be 2/4*-1 - -1. Let d = 1/191 + 569/764. Solve l**3 + 0 + 1/4*l**2 - i*l - d*l**4 = 0.
-2/3, 0, 1
Factor n**4 - 10*n + 3*n**4 + 34*n**3 - 24*n**2 - 30*n**3 - 8*n + 32 + 2*n.
4*(n - 2)*(n - 1)*(n + 2)**2
Factor 22/7*k + 12 - 2/7*k**2.
-2*(k - 14)*(k + 3)/7
Let r = -1239 - -1241. Let 1/9*m**3 + 5/9*m**r + 1/3*m - 1 = 0. Calculate m.
-3, 1
Suppose 4*r = 5*m - 5, -10*r + 4*m = -7*r + 5. Let s(x) be the second derivative of 0 - 5*x + 1/90*x**r + 0*x**2 + 1/27*x**3 - 1/27*x**4. Factor s(b).
2*b*(b - 1)**2/9
Let s(n) be the second derivative of -5*n**4/36 + 55*n**3/18 - 25*n**2/3 - 3*n + 51. Determine y, given that s(y) = 0.
1, 10
Let a be (-20 - -43 - 29)*(-2)/9. Find s such that -2/9*s - 2/9*s**2 + a = 0.
-3, 2
Let t be (-12)/16*((-42)/(-5) + -10). Factor -3/5*q**2 + 0 + t*q.
-3*q*(q - 2)/5
What is v in 5*v**3 - 196*v - 183*v + 10*v**2 + 339*v = 0?
-4, 0, 2
Let c(u) be the third derivative of u**7/140 - 3*u**5/40 + u**4/8 - 133*u**2. Factor c(a).
3*a*(a - 1)**2*(a + 2)/2
Suppose -11*l - 13 = 20. Let a be (-4)/(-1 + -3)*(-2)/l. Factor -a*f**3 + 8/3*f**2 - 10/3*f + 4/3.
-2*(f - 2)*(f - 1)**2/3
Let v(r) be the second derivative of -r**9/15120 - r**8/1680 + r**7/504 + r**4/4 - 10*r. Let g(n) be the third derivative of v(n). Factor g(f).
-f**2*(f - 1)*(f + 5)
Let r(c) = 2*c. Let l be r(1). Let m(p) = -2*p**2 + 3*p**2 + 0*p**2 - 17 + l*p. Let x(q) = 2. Let a(o) = -2*m(o) - 18*x(o). Factor a(v).
-2*(v + 1)**2
Let 0*a + 2/19*a**3 + 0*a**2 + 0 + 0*a**4 - 2/19*a**5 = 0. Calculate a.
-1, 0, 1
Let s(f) be the first derivative of -f**4 + 28*f**3/3 - 32*f**2 + 48*f + 51. Factor s(x).
-4*(x - 3)*(x - 2)**2
Let j(s) be the second derivative of s**5/50 - s**4/30 - 2*s**3/5 + 4*s - 3. What is b in j(b) = 0?
-2, 0, 3
Suppose -3*s + 3*t = 0, 56*s + 12 = 60*s - t. Let d be 16/6 - (1 + 1). Suppose -6 - d*r**2 + s*r = 0. What is r?
3
Let w(j) be the first derivative of j**4/3 - 92*j**3/9 - 98*j**2/3 - 100*j/3 + 18. Factor w(z).
4*(z - 25)*(z + 1)**2/3
Let j be (0 - 1)/(2/42*-1). What is c in -32*c**2 + 12*c**3 - 5 - 2 + 12*c + j - 6 = 0?
-1/3, 1, 2
Suppose -4*y = -11 - 37. Suppose a = -3*a + y. Factor -35*o**3 + 4*o - 7*o + 38*o**a.
3*o*(o - 1)*(o + 1)
Find z, given that -450 - 210*z + 7*z**3 - 1/2*z**4 + 11/2*z**2 = 0.
-3, 10
Let 6*u**4 - 15*u**2 - 6*u + 12 + 3/2*u**3 + 3/2*u**5 = 0. What is u?
-2, 1
Let i = -218/3 + 437/6. Solve -1/3*v + 0 - i*v**2 = 0 for v.
-2, 0
Factor -6/11*i**2 + 4/11*i + 2/11*i**3 + 0.
2*i*(i - 2)*(i - 1)/11
Suppose 5*k + 7 = -4*c, -c + 5*k + 17 = -0*c. Factor 15 - h - 4 - 9 - h**c.
-(h - 1)*(h + 2)
Let s be 3 + -2 + 22 + -21. Suppose 10*v - 4 = 9*v. Factor -2/9 + 20/9*t**3 + 10/9*t + 2/9*t**5 - 20/9*t**s - 10/9*t**v.
2*(t - 1)**5/9
Let a(y) = -y**2 + 17*y - 22. Let h be a(15). Let s = -6 + h. Factor s*o**4 + 19*o**2 + 3*o**4 - 24*o**2 + 5*o - 5*o**3.
5*o*(o - 1)**2*(o + 1)
Let t be (4/20 + 0)/((20/(-75))/(-2)). Find p, given that t*p**3 + 16/3 - 11/3*p**2 - 1/6*p**4 + 0*p = 0.
-1, 2, 4
Factor 7/5*x**2 - 1/5*x**3 - 7/5 + 1/5*x.
-(x - 7)*(x - 1)*(x + 1)/5
What is l in 0 + 0*l + 1/2*l**4 - 5/2*l**3 + 2*l**2 = 0?
0, 1, 4
Let n be (8 + (-25)/3)/((-12)/126). Find t, given that 5/2*t**3 + 3/2*t + 0 - 1/2*t**4 - n*t**2 = 0.
0, 1, 3
Let q(i) be the third derivative of 5/6*i**4 + 0*i + 4/3*i**3 - 4/15*i**5 + 0 + 5*i**2 - 1/3*i**6 + 4/105*i**7 + 5/84*i**8. Let q(r) = 0. What is r?
-1, -2/5, 1
Let q(u) be the second derivative of 13*u - 5/6*u**4 + 1/6*u**6 + 45/2*u**2 - 10*u**3 + 0 + u**5. Factor q(z).
5*(z - 1)**2*(z + 3)**2
Factor 10 - 6*j - j - 2 + 4*j**2 - 5*j.
4*(j - 2)*(j - 1)
Let v(n) be the third derivative of -1/30*n**6 + 0 - 1/2*n**4 - 3*n**2 + 0*n - 1/5*n**5 - 2/3*n**3. Suppose v(x) = 0. What is x?
-1
Let p(r) = 14*r**3 + 92*r**2 - 2210*r + 4045. Let u(t) = 3*t**3 - t - 1. Let n(k) = -3*p(k) + 15*u(k). Suppose n(w) = 0. Calculate w.
2, 45
Let u be -3 - (-5 - (-1 - -2)). Suppose 3*x - 11 = q + 3, -x + u*q = -18. Let -x*v**3 + 4 + 12*v**2 + 20 + 6*v**2 - 36*v = 0. Calculate v.
2
Let w(u) = 3*u**4 - 7*u**3 + u**2 + 9*u - 4. Let s(q) = 21*q**4 - 48*q**3 + 6*q**2 + 63*q - 27. Let n(a) = 2*s(a) - 15*w(a). Solve n(o) = 0.
-1, 1, 2
Let u = 30530 - 30528. Let 0 + 4*q + 2/3*q**u = 0. Calculate q.
-6, 0
Let 32*z + 32*z + 30 - 77*z - 323*z**3 - 346*z**2 - 20*z**4 = 0. What is z?
-15, -1, -2/5, 1/4
Let r(g) = 3*g**4 - 11*g**2 + 13. Let x(s) = -2*s**4 + 6*s**2 - 6. Let h(b) = -2*r(b) - 5*x(b). Factor h(k).
4*(k - 1)**2*(k + 1)**2
Let n = -2363/2 - -1192. Factor -15/2*o**3 - 9/2*o - 3/2*o**4 - n*o**2 + 0.
-3*o*(o + 1)**2*(o + 3)/2
Let 9 - 13 + 28 - 268*f + 44*f**2 = 0. Calculate f.
1/11, 6
Let r be (-3 - (-3 - 0))/(-2 + 5). Suppose 3/2 + r*q - 3/2*q**2 = 0. What is q?
-1, 1
Let v(p) = p**3 - 34*p**2 - 108*p - 109. Let w be v(37). Let r(k) be the second derivative of w*k + 0 + 0*k**2 - 1/4*k**4 + 3/2*k**3. Factor r(f).
-3*f*(f - 3)
Let c(s) = -s + 14. Let z be c(12). Suppose -z*d - 5*d = 0. Factor 3/2*g**3 + 3/2*g**4 - 3/2*g + d - 3/2*g**2.
3*g*(g - 1)*(g + 1)**2/2
Let k(l) be the third derivative of l**5/120 - 53*l**4/48 + 13*l**3/3 - 6*l**2 - 4. Determine v, given that k(v) = 0.
1, 52
Let g(x) = 16*x*