 k so that 2/5*k + 6/5*k**2 - 2*k**3 + 0 + w*k**5 - 6/5*k**4 = 0.
-1, -1/4, 0, 1
Let y = 22 - 36. Let s be (-10)/y - 6/(-21). Factor 5*w**2 - w - w**5 - 3*w**2 + 0*w**4 - s - w**4 + 2*w**3.
-(w - 1)**2*(w + 1)**3
Let i = -423 - -847/2. Factor -3/4*k + i*k**2 + 1/2*k**3 + 1/4 + 1/4*k**5 - 3/4*k**4.
(k - 1)**4*(k + 1)/4
Suppose -12/5*t**5 + 0 + 46/5*t**4 - 4/5*t + 26/5*t**2 - 56/5*t**3 = 0. What is t?
0, 1/3, 1/2, 1, 2
Let o(q) be the second derivative of q**4/12 + 2*q**3/3 + 5*q**2/2 + 6*q. Let a be o(-3). Suppose -2/5*h**a + 2/5*h + 4/5 = 0. Calculate h.
-1, 2
Factor -2*x + 12*x**3 - 8*x**4 + 3*x**2 + x**4 - 13*x**3 + 3*x**5 + 4*x**3.
x*(x - 1)**3*(3*x + 2)
Let r(y) be the second derivative of 0 - y**2 + 2/21*y**3 - 5/84*y**4 - 1/420*y**6 - 3*y + 2/105*y**5. Let p(b) be the first derivative of r(b). Factor p(v).
-2*(v - 2)*(v - 1)**2/7
Suppose 6*w = 2*j + 4*w - 22, j = 5*w + 23. Suppose -28 + j = -4*k - 3*n, -5*n + 16 = -2*k. Factor l**k + 0 + 1/3*l + 1/3*l**4 + l**3.
l*(l + 1)**3/3
Let o(u) be the second derivative of 2*u**6/5 - 21*u**5/10 + 73*u**4/16 - 21*u**3/4 + 27*u**2/8 + 14*u. Suppose o(y) = 0. What is y?
3/4, 1
Suppose -5*h - 2*u = 2 - 12, -5*u - 41 = -4*h. Factor -h - 5*k - 3*k**2 + 2*k + 4.
-3*k*(k + 1)
Let k(i) = 5*i**5 - 7*i**4 - 5*i**3 + 3*i**2. Let s(a) = -5*a**5 + 8*a**4 + 5*a**3 - 2*a**2. Let d(h) = 3*k(h) + 2*s(h). Factor d(u).
5*u**2*(u - 1)**2*(u + 1)
Let r(i) be the first derivative of -2 + 2*i - 1/2*i**2 - i**3. Determine t so that r(t) = 0.
-1, 2/3
Factor -1/4*c**3 - 1/2 + 3/4*c + 0*c**2.
-(c - 1)**2*(c + 2)/4
Let p(g) = -8*g**3 + 8*g + 8. Let h(c) = c**3 + c. Let w(j) = -4*h(j) - p(j). Factor w(k).
4*(k - 2)*(k + 1)**2
Factor 5*y + 5 - 5*y**2 + 14 - y**3 - 4*y**3 - 14.
-5*(y - 1)*(y + 1)**2
Factor 2/3*g**4 + 2/3*g - 4/9*g**2 - 4/9*g**3 - 2/9*g**5 - 2/9.
-2*(g - 1)**4*(g + 1)/9
Let r be 0 - 2*(-3)/2. Suppose -4*i + r*i = -2. Factor 0*s**2 + 3*s**2 + 1 - 2*s**i + 2*s.
(s + 1)**2
Factor 66*s**2 + 10*s**4 + 18*s - 21*s**3 + 2 + 6 + 65*s**3 + 22*s.
2*(s + 1)**2*(s + 2)*(5*s + 2)
Suppose x + 1 = -0. Let k(b) = 6. Let w(z) = -1. Let c(l) = x*k(l) - 5*w(l). Let v(i) = i**2 - 4*i + 7. Let t(d) = 6*c(d) + 2*v(d). Factor t(s).
2*(s - 2)**2
Let -z**2 - 7 + 26*z + 9*z**2 + 13 = 0. Calculate z.
-3, -1/4
Let r(o) be the first derivative of -o**3 + 9*o**2 + 12. Solve r(a) = 0 for a.
0, 6
Let u = -19/51 - -197/255. Factor -u*f - 2/5*f**2 + 0.
-2*f*(f + 1)/5
Determine z, given that -27/2*z**3 + 25/4*z + 0 - 3/4*z**5 + 15*z**2 - 7*z**4 = 0.
-5, -1/3, 0, 1
Let a(q) = -8*q**2 - 8*q + 40. Let k(z) = -3*z**2 - 3*z + 16. Let l(b) = -5*a(b) + 12*k(b). Let l(j) = 0. What is j?
-2, 1
Suppose 10*r - 30 = -5*r. What is w in -4/3 - 32/3*w**r + 22/3*w + 14/3*w**3 = 0?
2/7, 1
Let t = 39/70 + -2/35. Factor 1/4*m**2 + 1/4 - t*m.
(m - 1)**2/4
Suppose -g = -o + 3, -2*g = o + 1 + 5. Suppose q + 3*s + 1 = 0, o = 3*q + s - 5*s - 23. Factor k**4 + 7*k - k**3 - k**2 - k - q*k.
k*(k - 1)**2*(k + 1)
Determine o so that -15 - 7*o**3 + 15 - 4*o**2 = 0.
-4/7, 0
Let t = 6 + -3. Let y = 125/188 + 4/47. Let 1/2*v + y*v**4 + 0 - 1/2*v**t - 3/4*v**2 = 0. Calculate v.
-1, 0, 2/3, 1
Let j(c) = c**2 - 3*c - 10. Let i be j(-7). Let b be 9/1*4/i. What is l in -b*l**3 - 9/5*l + 9/5*l**2 + 3/5 = 0?
1
Let k(s) be the first derivative of 2 + 4/3*s**3 - 3*s - 3*s**2. Let f(h) = -h**2 + h + 1. Let u(g) = 5*f(g) + k(g). Determine t so that u(t) = 0.
-2, 1
Factor 3*b + 24*b**2 - 43*b**2 + 20*b**2.
b*(b + 3)
Suppose -16*d + 12*d = -8. Factor -1/4*g**d + 1/4*g**3 + 0 - 1/2*g.
g*(g - 2)*(g + 1)/4
Let v(x) be the third derivative of x**8/5040 - x**7/2520 - x**6/1080 + x**5/360 - x**3/6 + 4*x**2. Let c(s) be the first derivative of v(s). Factor c(n).
n*(n - 1)**2*(n + 1)/3
Let z(f) be the second derivative of 14*f**6/5 - 129*f**5/20 + 17*f**4/4 - f**3 + 7*f. Solve z(b) = 0 for b.
0, 1/4, 2/7, 1
Find b such that 239 + 60*b**5 - 239 - 117*b**3 - 21*b**4 + 21*b + 57*b**2 = 0.
-7/5, -1/4, 0, 1
Let f be 8/20 + 0 + 0. Find b such that -6/5*b + 4/5 + f*b**2 = 0.
1, 2
Let i = -29 - -9. Let m be 28/i*-1 - 1. Factor m*n**2 - 4/5 + 2/5*n.
2*(n - 1)*(n + 2)/5
Let v(w) = 7*w**2 - w + 9. Let z = -12 + 7. Let s(n) = -5*n**2 - 8 + 2*n - 4*n**2 + 3*n**2. Let y(r) = z*s(r) - 4*v(r). Let y(b) = 0. What is b?
1, 2
Let d(a) = 3*a - 3. Let m be d(5). Suppose m = -c + 4*k, 2*c + 17 = 5*k + 5. Let 0*i + 0 + 1/2*i**c - 1/2*i**3 + 0*i**2 = 0. What is i?
0, 1
Let b(n) be the third derivative of 2*n**2 + 0 + 1/112*n**8 + 0*n + 0*n**6 + 0*n**4 + 0*n**3 - 3/70*n**7 + 1/5*n**5. Find f, given that b(f) = 0.
-1, 0, 2
What is o in 5 - o**2 + 6*o**3 - 15*o + 16*o**2 - 11*o**3 = 0?
1
Let i(v) be the first derivative of -v**7/1260 + v**6/135 - v**5/36 + v**4/18 - v**3/3 - 3. Let c(w) be the third derivative of i(w). Factor c(o).
-2*(o - 2)*(o - 1)**2/3
Let m(w) = 3*w + 2*w**2 + 4 + 1 - 3. Let b be m(-2). Factor b*q**4 + 6*q**3 + 2*q + 3*q**2 - 2*q**4 + 3*q**2.
2*q*(q + 1)**3
Let m be 13/3 + 2/(-6). Find u such that -2 + m*u - 5*u**2 + 4*u**2 - u = 0.
1, 2
Let s(k) be the third derivative of -k**7/3780 - k**6/1080 + k**5/90 - k**4/6 - 7*k**2. Let t(d) be the second derivative of s(d). Determine y so that t(y) = 0.
-2, 1
Let r(k) be the second derivative of k**4/60 - 2*k**3/15 + 3*k**2/10 + 28*k. Let r(i) = 0. What is i?
1, 3
Let c(w) be the second derivative of w**7/840 - w**6/240 - w**5/20 + w**4/3 + 4*w. Let p(z) be the third derivative of c(z). Suppose p(r) = 0. Calculate r.
-1, 2
Let b(x) be the third derivative of x**5/60 + x**4/8 + x**3/3 - 20*x**2. Factor b(j).
(j + 1)*(j + 2)
Let g(c) = 3*c**3 - 5*c**2 - 5*c + 5. Let w = 53 - 20. Let k(u) = -48*u**3 + 81*u**2 + 81*u - 81. Let l(o) = w*g(o) + 2*k(o). Factor l(q).
3*(q - 1)**2*(q + 1)
Let o(k) be the second derivative of -k**7/189 - k**6/45 + k**5/45 + k**4/9 - k**3/27 - k**2/3 - 9*k. Suppose o(q) = 0. What is q?
-3, -1, 1
Let f = 81 - -15. Factor -7*q**2 + 24*q**3 + 89*q**5 - f*q**4 + 3*q**2 + 2*q**2 + 39*q**5.
2*q**2*(4*q - 1)**3
Let d(c) be the first derivative of c**3/9 - c**2/6 - 2*c + 36. Solve d(n) = 0 for n.
-2, 3
Let i(g) be the second derivative of -1/90*g**5 + 64/9*g**2 - 16/9*g**3 + 0 + 2/9*g**4 - 5*g. Factor i(l).
-2*(l - 4)**3/9
Let 0 + 0*y - 10/9*y**4 + 8/3*y**3 - 8/9*y**2 = 0. What is y?
0, 2/5, 2
Let k = -87 - -89. What is y in -1/3*y**5 + 0 - 4/3*y**4 - 1/3*y - k*y**3 - 4/3*y**2 = 0?
-1, 0
Let g = 22 + -18. Solve 3*p**2 + 3*p**g + 6*p**4 - 9*p**2 + 3*p**3 = 0.
-1, 0, 2/3
Let r(s) = s + 4. Let k be r(-2). Determine f so that -15*f**3 + 9*f**3 - 3*f**k + 0*f**2 - 3*f**4 = 0.
-1, 0
Let j(o) be the second derivative of 1/15*o**6 + 0*o**4 + 0 + 0*o**3 + 0*o**5 + 0*o**2 + 4*o + 1/21*o**7. Determine f so that j(f) = 0.
-1, 0
Let r be (-58)/18 + (-10)/(-45). Let y = r - -5. Factor 4*s**2 - 2*s**y + 3 - 3.
2*s**2
Let n be (-39)/(-4) + 4/16. Let o be (2/5)/(1/n). Find z, given that o*z + 0*z**2 - 2 + 0 - 2*z**2 = 0.
1
Factor 0*s**3 + 2/5*s**2 + 0*s - 2/5*s**4 + 0.
-2*s**2*(s - 1)*(s + 1)/5
Let l be (16/(-120)*12)/(-2). Find i such that -4/5*i**3 - l*i**2 + 8/5*i + 0 = 0.
-2, 0, 1
Let n(k) be the first derivative of 8*k**4/3 - 16*k**3/3 + 3*k**2 + 7. Factor n(c).
2*c*(4*c - 3)**2/3
Let b be (-37)/(-4)*12/(-9). Let y = b + 13. Suppose -2/3*c + 0 + y*c**2 = 0. Calculate c.
0, 1
Factor 4/5 + 1/5*j**3 - 1/5*j - 4/5*j**2.
(j - 4)*(j - 1)*(j + 1)/5
Let 88/9*m - 8/9 - 70/3*m**2 = 0. What is m?
2/15, 2/7
Factor -4*i**2 + 1 - 4*i + 5*i**2 + 2*i**2.
(i - 1)*(3*i - 1)
Let u(m) be the third derivative of m**6/96 - 3*m**5/16 + 5*m**4/4 - 10*m**3/3 - m**2 - 4*m. Suppose u(r) = 0. What is r?
1, 4
Let a(y) be the first derivative of 0*y**2 + 0*y**3 + 4 + 0*y - 1/4*y**4. Factor a(v).
-v**3
Let y = -27/23 + 453/92. Find c such that 0*c + 1/4 + 5*c**3 - 5/2*c**2 + c**5 - y*c**4 = 0.
-1/4, 1
Let h(b) be the third derivative of 1/480*b**6 + 3*b**2 + 1/32*b**4 - 1/80*b**5 + 0 + 0*b - 1/24*b**3. Find w such that h(w) = 0.
1
Let q(n) = -n**2 - 38*n - 35. Let f be q(-37). Let 2/9*z**f - 4/9 + 2/9*z = 0. Calculate z.
-2, 1
Suppose 5 = 3*t - 1. Let h = 5 + -3. Factor -h*p**t - 3*p + 4*p + p.
-2*p*(p - 1)
Let t be 16/7 - 2/7. Let x(g) = 4*g**2 + 2*g + 4. Let o(z) be the first derivative of z**3/3 + z - 8. Let b(d) = t*x(d) - 6*o(d). Factor b(i).
2*(i + 1)**2
Let h = -1476/5 + 296. Fin