tor c*v**4 + 75/2*v**3 + 12 + 3/2*v**5 + 42*v + 57*v**2.
3*(v + 1)**2*(v + 2)**3/2
Let g be 4/(-40) - (-32)/20. Factor 3/4*s**3 + 15/4*s + g + 3*s**2.
3*(s + 1)**2*(s + 2)/4
Let r(c) = 2*c**2 - 5*c + 3. Let i(n) = n - 1. Let k(x) = 5*i(x) + r(x). Factor k(f).
2*(f - 1)*(f + 1)
Let o = -12 + 15. Factor -s**3 - s**4 - 4*s + 4*s + o*s - 2*s + s**2.
-s*(s - 1)*(s + 1)**2
Let j(n) be the third derivative of n**7/735 + n**6/210 + n**5/210 - 2*n**2. Determine o so that j(o) = 0.
-1, 0
Let 18/7*h**2 + 0 + 2*h**3 + 4/7*h = 0. Calculate h.
-1, -2/7, 0
Let m(o) be the third derivative of o**5/40 - o**4/8 - o**2. Find k, given that m(k) = 0.
0, 2
Let i(d) = 8*d**4 + 12*d**3 - 8*d - 12. Let a(h) = -7*h**4 - 12*h**3 - h**2 + 9*h + 11. Let j(f) = 4*a(f) + 3*i(f). Factor j(c).
-4*(c - 1)*(c + 1)**2*(c + 2)
Let t = -21 - -64/3. Solve t*n**4 - 1/3*n**2 - 1/3*n + 1/3*n**3 + 0 = 0 for n.
-1, 0, 1
Suppose 6*q + 11 = 29. Factor -2/11*k**5 - 6/11*k**4 + 0*k + 0 - 2/11*k**2 - 6/11*k**q.
-2*k**2*(k + 1)**3/11
Let o be 40/140 + 2/7. Suppose o*i - 24/7*i**3 - 2*i**4 - 6/7*i**2 + 0 = 0. Calculate i.
-1, 0, 2/7
Let g(q) be the third derivative of 0 - 2/21*q**3 + 1/210*q**6 + 2/735*q**7 + 1/12*q**4 - 4/105*q**5 + 0*q - 1/1176*q**8 + 6*q**2. Factor g(h).
-2*(h - 1)**4*(h + 2)/7
Let f(d) be the first derivative of d**5/10 + d**4/3 + d**3/3 - 4*d + 3. Let n(u) be the first derivative of f(u). Factor n(h).
2*h*(h + 1)**2
Let s be (3 + 0 + -9)/(-2). Determine h, given that -2*h**2 + 6*h**3 - 3*h**3 - 4*h**s = 0.
-2, 0
Let p = 42 + -22. Factor -14*j**3 - 24*j + 6*j**2 - 24*j**2 + p*j.
-2*j*(j + 1)*(7*j + 2)
Suppose 3*s - 25 = -b, 2*s - 5 = 3*s + 3*b. Let -6*y**4 + 4*y**4 + 16*y**2 + 4*y**5 - s*y**4 = 0. Calculate y.
-1, 0, 2
Let k(d) be the first derivative of -d**7/70 - d**6/20 - d**5/20 - 2*d**2 + 2. Let l(j) be the second derivative of k(j). Factor l(r).
-3*r**2*(r + 1)**2
Let s be (-21)/6*128/(-112). Factor -1/4*w**2 + 0 + 1/4*w**5 - 3/4*w**s + 3/4*w**3 + 0*w.
w**2*(w - 1)**3/4
Let w(l) be the third derivative of -l**6/60 - 7*l**5/30 - 11*l**4/12 - 5*l**3/3 + 2*l**2 + 35*l. Factor w(r).
-2*(r + 1)**2*(r + 5)
Suppose -11*x - x + 24 = 0. Let h(o) be the first derivative of -1/6*o**4 + x + 0*o**3 + 1/3*o**2 + 0*o. Factor h(f).
-2*f*(f - 1)*(f + 1)/3
Let n(x) = -x + 8. Let b be n(6). Let t(z) be the second derivative of 2*z + 0*z**b + 0 - 1/12*z**4 - 1/6*z**3. Let t(h) = 0. Calculate h.
-1, 0
Suppose -2*t = -t. Suppose -2*x + 8 = -t*x. Let -4*s**x - 2*s**3 + 2*s**2 - 2*s + 4*s**3 + 2*s**4 = 0. Calculate s.
-1, 0, 1
Let u(z) be the second derivative of 2/3*z**3 + 2*z + 0 + 1/12*z**4 + 3/2*z**2. Suppose u(q) = 0. What is q?
-3, -1
Factor 8/5 - 2/5*a**2 - 6/5*a.
-2*(a - 1)*(a + 4)/5
Let h(a) be the third derivative of -a**6/360 - a**5/36 - a**4/24 + a**3/2 - 8*a**2. Solve h(t) = 0.
-3, 1
Let b(u) be the first derivative of 0*u - 2/15*u**3 - 4 - 2/5*u**2. Solve b(k) = 0 for k.
-2, 0
Let c = 33 + -12. Let r be 6/c - (-24)/14. Factor r*f**3 - 7*f**2 + 0*f**2 + 2*f + 3*f**2.
2*f*(f - 1)**2
Suppose -z = 4*s - 30, 5*z - 2*s - 40 = -0*s. Suppose -2*v - 3*v - z = -2*l, 5*v = -2*l + 10. Factor v - 35*x**4 + 2*x - 14*x**2 + 69/2*x**3 + 25/2*x**5.
x*(x - 1)**2*(5*x - 2)**2/2
Let c(l) be the second derivative of -l**4/6 + 2*l**3/3 - l**2 - 61*l. Find v such that c(v) = 0.
1
Let d = 169/102 - 8/51. Let -7/2*x - 11*x**3 + 9*x**2 - d*x**5 + 13/2*x**4 + 1/2 = 0. What is x?
1/3, 1
Let p(g) be the second derivative of 3/10*g**5 - g - 2/3*g**3 - 11/12*g**4 + 2*g**2 + 0 + 3/10*g**6. Factor p(d).
(d + 1)**2*(3*d - 2)**2
Solve -19/8*y**2 + 1/2 + 9/8*y**4 - 5/4*y**3 + 3/2*y + 1/2*y**5 = 0 for y.
-2, -1/4, 1
Suppose -4*w + 20*n = 22*n - 10, 7 = 2*w - n. Factor 2/7*q**5 + 2/7*q**w + 0 + 0*q**2 + 0*q - 4/7*q**4.
2*q**3*(q - 1)**2/7
Solve 16*k**2 - 7*k - 13*k**2 + k - 9 = 0.
-1, 3
Let h be -3 - (0 + -5 + -2). Let j(d) be the first derivative of 0*d + 0*d**2 + 0*d**5 + 0*d**h - 1/24*d**6 + 0*d**3 - 3. Factor j(x).
-x**5/4
Let i(p) be the second derivative of -2*p**7/63 + p**5/5 - 2*p**4/9 - 13*p. Factor i(n).
-4*n**2*(n - 1)**2*(n + 2)/3
Let y(u) = -u**3 + 7*u**2 - 7*u - 1. Let r be y(5). Suppose r*a + 12 = 17*a. Solve 8/3*d**a + 5/3*d + 2*d**2 - 2/3 - 20/3*d**3 = 0.
-1/2, 1/2, 2
Let p(r) = 6*r**2 + 5*r - 6. Let w(g) = 7*g**2 + 6*g - 7. Let m(u) = 6*p(u) - 5*w(u). Solve m(n) = 0 for n.
-1, 1
Let k(r) be the second derivative of -r**6/30 - r**5/10 + r**3/3 + r**2/2 + 11*r - 1. What is o in k(o) = 0?
-1, 1
Suppose 5*m = -38 + 8. Let p be 5 + 0 + m/3. Solve 2*v**2 - 2*v**3 - p*v**2 + v**2 = 0 for v.
0
Let u = 782/291 - 2/97. Let i(v) be the first derivative of 8/5*v**5 - 2 - v**2 - 1/3*v**6 + u*v**3 - 3*v**4 + 0*v. Find j such that i(j) = 0.
0, 1
Let h = 10 - 8. Suppose h*q = -3*q. Factor -2/3*a**5 + q*a**4 + 2/3*a**3 + 0 + 0*a + 0*a**2.
-2*a**3*(a - 1)*(a + 1)/3
Suppose c - 18 = -12. Let f(m) be the third derivative of 1/120*m**c + 0 - 2*m**2 + 0*m**3 + 1/12*m**4 + 0*m - 1/20*m**5. Factor f(y).
y*(y - 2)*(y - 1)
Suppose 5*g - 2*b = 8*g, 2*g = 4*b. Determine k, given that g - 6/5*k + 3/5*k**2 = 0.
0, 2
Let p(v) be the first derivative of 2*v**5/45 - 2*v**3/9 - 2*v**2/9 + 7. What is b in p(b) = 0?
-1, 0, 2
Let d be (1 - 5)/((-2)/4). Let b(r) = -r + 10. Let m be b(d). What is v in 1/3 - 2/3*v - v**m = 0?
-1, 1/3
Let j = 4 - 0. Suppose j*r - 17 = -5*m + 19, -3*r + 3*m = 0. Solve 25*t**r - 75*t**4 + 3*t - 11*t - 90*t**3 - 48*t**2 = 0 for t.
-1, -2/5, 0
Let i(k) be the third derivative of k**6/24 - 3*k**5/2 + 135*k**4/8 + 32*k**2. Factor i(y).
5*y*(y - 9)**2
Let o = 1784/195 - 125/13. Let i = 1/5 - o. Factor 1/3*m + 0 + 0*m**3 - 1/3*m**5 + 2/3*m**2 - i*m**4.
-m*(m - 1)*(m + 1)**3/3
Let m = 200 + -1048/7. Let m*o**3 + 50/7*o - 216/7*o**2 - 128/7*o**4 - 4/7 = 0. Calculate o.
1/4, 2
Let z be (845/(-3))/(-5) - 3. Let t = 709/12 - z. Solve -27/2*c**4 + t*c - 81/4*c**5 - 1/2 - 24*c**2 + 81/2*c**3 = 0 for c.
-2, 1/3
Let i(n) = -n**3 - n**2. Let w(v) = -2*v**3 + 4*v**2 + 10*v + 4. Let b = 3 + 5. Let u(a) = b*i(a) + w(a). Determine l, given that u(l) = 0.
-1, -2/5, 1
Let r(o) be the third derivative of -o**5/180 + o**4/24 - o**3/9 + 13*o**2. Determine k, given that r(k) = 0.
1, 2
Suppose 5*k - 3*k = 42. Suppose 4*z = t + t + 6, -5*t + k = 2*z. What is u in 1/4*u**t - 1/4*u**4 + 0*u + 1/4*u**2 - 1/4*u**5 + 0 = 0?
-1, 0, 1
Suppose -5*x = -2*x - 9. Let m = x + -5/3. Factor c**2 - m - 1/3*c**3 + 0*c.
-(c - 2)**2*(c + 1)/3
Let o = -1 + 6. Let i(t) be the second derivative of t + 0 - 1/20*t**o + 1/12*t**4 + 1/6*t**3 - 1/2*t**2. Determine c, given that i(c) = 0.
-1, 1
Let w(i) be the first derivative of -5*i**4/4 + 10*i**3/3 + 11. What is g in w(g) = 0?
0, 2
Let m(q) = -q**2 + 3*q. Suppose -2*c + 5*i + 4 = -0*c, 5*c - 10 = -3*i. Let k be m(c). Solve 6/7*s + 3/7*s**k + 3/7 = 0 for s.
-1
Suppose -k - 3*k = 0. Suppose 0 = x - 2*x + 2. Determine u so that -10/3*u**x + 4/3*u + k = 0.
0, 2/5
Let u(a) = -11*a**2 - 19*a + 7. Let b(i) = 4*i**2 + 6*i - 2. Let m be 7/(7/2) - 4. Let r(x) = m*u(x) - 7*b(x). Factor r(w).
-2*w*(3*w + 2)
Let t(o) be the third derivative of -o**8/126 + 2*o**7/105 - o**5/45 - 28*o**2. Factor t(w).
-4*w**2*(w - 1)**2*(2*w + 1)/3
Let o be 2/10 - 62/10. Let c = o - -9. Suppose -2/9 - 2/3*w**2 + 2/3*w + 2/9*w**c = 0. Calculate w.
1
Let l(r) be the third derivative of -r**6/24 - r**5/4 - 5*r**4/8 - 5*r**3/6 + 68*r**2. Determine w, given that l(w) = 0.
-1
Let q(o) = 36*o**5 - 40*o**4 + 50*o**3 - 7*o**2 - 13. Let p(z) = 17*z**5 - 20*z**4 + 25*z**3 - 4*z**2 - 6. Let i(v) = -13*p(v) + 6*q(v). Factor i(b).
-5*b**2*(b - 2)*(b - 1)**2
Let y(f) be the third derivative of 0*f + 2/105*f**7 - 13/96*f**4 + 3/80*f**5 + 1/12*f**3 + 7*f**2 + 1/12*f**6 + 0. Let y(q) = 0. What is q?
-2, -1, 1/4
Let w(z) be the third derivative of 1/80*z**6 + 0 - 1/32*z**4 + 0*z - 1/8*z**3 - 1/280*z**7 - 1/448*z**8 - 2*z**2 + 1/40*z**5. What is c in w(c) = 0?
-1, 1
Let f = 4/9 + -1/3. Let h(x) be the first derivative of 0*x + 1/3*x**4 - 1/3*x**2 + 2 + 0*x**5 + 0*x**3 - f*x**6. Factor h(t).
-2*t*(t - 1)**2*(t + 1)**2/3
Let t(b) = b**2 - 5*b - 1. Let g be t(5). Let m = g - -5. Determine d so that 70*d**m + 6*d**3 - 16/5 - 24*d - 244/5*d**2 = 0.
-2/5, -2/7, 1
Factor 0 + 2/5*f**2 - 2/5*f.
2*f*(f - 1)/5
Let g(i) be the third derivative of i**7/1680 - 3*i**