3 - 183. Factor 0 + y*m**4 + 0*m**2 + 0*m**3 + 0*m.
m**4/3
What is q in -112*q + 108/7*q**3 - 96*q**2 + 0 - 4/7*q**4 = 0?
-1, 0, 14
Suppose 2 + 8 = 5*c. Suppose -3*d - a = -11, d - 18 = c*d - 4*a. What is u in -2*u**d + 2*u + 0*u**2 + 0*u**2 = 0?
0, 1
Factor -11*c**3 + 6*c**2 - 2*c**2 + 7*c**3.
-4*c**2*(c - 1)
Suppose 6 = 4*j - j. Let x(y) be the first derivative of -1/3*y**3 + y**2 - 1/4*y**4 + 0*y + j. Find h such that x(h) = 0.
-2, 0, 1
Let w(a) = -3*a**3 + 18*a**2 - 3*a - 6. Let u(b) = -3*b**3 + 17*b**2 - 4*b - 5. Let j(s) = 6*u(s) - 5*w(s). Factor j(x).
-3*x*(x - 3)*(x - 1)
Let r(s) be the first derivative of -9*s**7/28 + 3*s**6/2 - 111*s**5/40 + 5*s**4/2 - s**3 - 4*s - 3. Let d(g) be the first derivative of r(g). Factor d(w).
-3*w*(w - 1)**2*(3*w - 2)**2/2
Let y(t) be the second derivative of t**4/24 - 13*t**3/12 + 3*t**2 + t. Factor y(z).
(z - 12)*(z - 1)/2
Solve -24 - o**2 - 3*o + 24 = 0.
-3, 0
Let n be (-46)/230 + 34/20. Factor 3/2*p**2 + n - 3*p.
3*(p - 1)**2/2
Let s(p) = -3*p + 51. Let q be s(17). Solve 3/2*x + q + 3/4*x**2 - 3/4*x**3 = 0.
-1, 0, 2
Let d(v) be the first derivative of 14*v**3 + 17/2*v**4 + 4*v + 11*v**2 + 1 + 2*v**5. What is x in d(x) = 0?
-1, -2/5
Suppose 14 = 3*y - 1. Let p(a) be the second derivative of 1/6*a**4 + 1/6*a**3 + 1/42*a**7 + a - 1/30*a**6 - 1/10*a**y - 1/2*a**2 + 0. Factor p(h).
(h - 1)**3*(h + 1)**2
Determine o so that -892*o + 892*o + o**4 = 0.
0
Let d = -6 + 9. Factor 0 + 1/2*a + 3/2*a**d + 1/2*a**4 + 3/2*a**2.
a*(a + 1)**3/2
Let n be 2/8 - 54/(-8). Let k = n - 7. Factor -3*c**4 - 3 + 0*c**4 + 0*c**4 + k + 6*c**2.
-3*(c - 1)**2*(c + 1)**2
Suppose 0 = -4*f - 4*r + 16 - 4, -f = -r + 3. Let b(j) be the third derivative of 0 + 0*j**3 + 1/12*j**4 + 2*j**2 + 1/12*j**5 + f*j. Factor b(z).
z*(5*z + 2)
Suppose 0 = 14*y + 11 - 53. Solve 3*a**2 - 9/5*a**4 - 6/5*a + 12/5*a**y + 0 = 0.
-1, 0, 1/3, 2
Let c(n) = 95*n**2 - 53*n + 5. Let w be ((-1)/2 + 1)*-8. Let l be 27/12 + 1/w. Let s(u) = -96*u**2 + 54*u - 6. Let i(t) = l*c(t) + 3*s(t). Factor i(b).
-2*(7*b - 2)**2
Let i(g) be the first derivative of g**6/660 + g**5/165 + g**4/132 + 3*g**2/2 - 4. Let d(s) be the second derivative of i(s). Determine q so that d(q) = 0.
-1, 0
Let g(i) = 7*i**3 + i**2 + 6*i. Let q(w) = -w**3 - w. Let r(h) = g(h) + 6*q(h). Factor r(o).
o**2*(o + 1)
Let m(h) = -h. Let f be m(-3). Let u = 77 + -230/3. Solve -1/3 + u*c**f - c**2 + c = 0.
1
Let x(c) be the third derivative of -c**6/40 - c**5/4 - c**4 - 2*c**3 + 8*c**2. Factor x(n).
-3*(n + 1)*(n + 2)**2
What is m in 2/5*m**3 + 0 - 2/5*m**5 + 0*m - 4/5*m**4 + 4/5*m**2 = 0?
-2, -1, 0, 1
Factor 0*u + 1/2*u**2 - u**3 + 1/2*u**4 + 0.
u**2*(u - 1)**2/2
Suppose 9*i + 18*i = 135. Factor 4/5*k**3 + 0 + 0*k - 2/5*k**2 + 8/5*k**i + 14/5*k**4.
2*k**2*(k + 1)**2*(4*k - 1)/5
Let v(z) be the second derivative of -z**4/42 + 2*z**3/7 - 9*z**2/7 - 6*z. Factor v(j).
-2*(j - 3)**2/7
Let m be (5 + 2 + -2)/1. Suppose 0*n + 7/5*n**3 + 0 + 1/5*n**2 + 9/5*n**m + 3*n**4 = 0. What is n?
-1, -1/3, 0
Determine v so that -7*v**5 + v**4 + 7*v**5 - 3*v**5 = 0.
0, 1/3
Suppose -r - 4 = -3*r. Suppose 2*h**3 + h**5 - h**2 - 3*h**3 - 3*h**4 + r*h - 2*h**3 + 4*h**4 = 0. What is h?
-2, -1, 0, 1
Let a(p) = 13*p**2 + 4*p + 5. Let g(b) = 7*b**2 + 2*b + 3. Let x(q) = 6*a(q) - 11*g(q). Factor x(v).
(v - 1)*(v + 3)
Let l(n) be the first derivative of -2/7*n**2 - 22/21*n**3 + 0*n - 8/7*n**4 - 2/5*n**5 - 5. Solve l(f) = 0 for f.
-1, -2/7, 0
Let h(q) be the second derivative of -q**7/105 - q**6/60 + q**5/30 + q**4/12 - 3*q**2 - 4*q. Let i(g) be the first derivative of h(g). Factor i(n).
-2*n*(n - 1)*(n + 1)**2
Factor -6*a + 4 - a**2 + 4*a**2 + 0*a - 7*a**2 + 6*a**3.
2*(a - 1)*(a + 1)*(3*a - 2)
Let i be (-2)/(-5) - (-22)/220. Find g, given that 0*g**2 - i - 1/4*g**3 + 3/4*g = 0.
-2, 1
Let m(i) be the second derivative of i**6/360 + i**5/60 + i**4/24 + i**3/6 + 5*i. Let b(s) be the second derivative of m(s). Factor b(g).
(g + 1)**2
Let o(r) be the first derivative of -r**8/336 + r**7/140 - r**6/240 - r**2 - 2. Let d(c) be the second derivative of o(c). Factor d(h).
-h**3*(h - 1)*(2*h - 1)/2
Factor 12*v**4 - v**2 - 6*v**3 - 10*v**4 - v**2 - 2*v + 8*v**3.
2*v*(v - 1)*(v + 1)**2
Let y(r) be the first derivative of r**9/1008 - r**8/560 - r**7/280 + r**6/120 - r**3/3 + 4. Let b(a) be the third derivative of y(a). Let b(k) = 0. What is k?
-1, 0, 1
Let u be (0 + 1)*-4*1. Let p be (-1 + (-2)/(-4))*u. Determine v so that v**p - 1 + 2*v + 0*v**2 - 2*v**2 = 0.
1
Let j(q) be the third derivative of q**5/300 - q**4/120 - q**3/15 + 13*q**2. Suppose j(g) = 0. What is g?
-1, 2
Factor 128/5 + 2/5*s**2 + 32/5*s.
2*(s + 8)**2/5
Let n(j) be the third derivative of -j**6/120 - 13*j**5/240 - j**4/32 - 6*j**2 - j. Factor n(m).
-m*(m + 3)*(4*m + 1)/4
Let d be (-16)/(-45) + ((-32)/(-30))/(-8). Factor 0 + 2/3*i**2 + 2/3*i**3 + 2/9*i**4 + d*i.
2*i*(i + 1)**3/9
Let k(v) = v - 1. Let m(o) = 3*o**2 - 2*o - 1. Let h(j) = -2*k(j) - m(j). Let h(b) = 0. What is b?
-1, 1
Let x(r) be the first derivative of 8 - 1/2*r**2 - 1/6*r**3 - 1/2*r. Factor x(q).
-(q + 1)**2/2
Let q be (0 - -1) + (-6)/2. Let m be -8*q/4 - 2. Solve -8/7*r**m - 4/7*r**5 + 10/7*r**4 + 8/7*r - 2/7 - 4/7*r**3 = 0 for r.
-1, 1/2, 1
Let v(f) be the second derivative of 3/40*f**5 - f - 1/8*f**4 - 1/4*f**3 + 0 + 3/4*f**2. Factor v(i).
3*(i - 1)**2*(i + 1)/2
Let b(c) = c. Let n(u) = -u**2 - 5*u + 2. Let r(w) = -6*b(w) - n(w). Let r(z) = 0. Calculate z.
-1, 2
Suppose -2/11*j**3 - 6/11*j + 0 - 8/11*j**2 = 0. What is j?
-3, -1, 0
Let 2*n**2 + 2*n**3 + 2*n - 2*n + n - 2*n**4 - 3*n = 0. What is n?
-1, 0, 1
Let d(z) be the second derivative of 2*z**6/5 - 19*z**5/5 + 11*z**4 - 6*z**3 + 11*z. Let d(u) = 0. What is u?
0, 1/3, 3
Let t(c) be the second derivative of -c**9/25200 + c**8/8400 + c**7/12600 - c**6/1800 - c**4/4 + 6*c. Let f(a) be the third derivative of t(a). Factor f(u).
-u*(u - 1)**2*(3*u + 2)/5
Let c(f) be the first derivative of -f**5/4 + 5*f**4/16 + 63. Factor c(j).
-5*j**3*(j - 1)/4
Let u(d) be the first derivative of 98/3*d**3 + 28*d**2 + 1 + 8*d. Factor u(x).
2*(7*x + 2)**2
Let y(i) = -i**3 - 12*i**2 + 13*i + 2. Let n be y(-13). Suppose -2*d + 3*m = -4, 3*d - m - 4*m = 5. Factor -l**5 - l**4 + 0*l**5 + 0*l**d + n*l**5.
l**4*(l - 1)
Factor -22*t**4 + 64/7*t**3 + 0*t - 8/7*t**2 + 14*t**5 + 0.
2*t**2*(t - 1)*(7*t - 2)**2/7
Let l(z) be the second derivative of 3*z**7/14 + 7*z**6/10 + 4*z**5/5 + z**4/3 - 12*z. Factor l(q).
q**2*(q + 1)*(3*q + 2)**2
Let u be 1 + (6 - (-3)/(-1)). Factor 4*z**3 - 4*z**u + 8*z**2 - 10*z**2 + 2*z**4.
-2*z**2*(z - 1)**2
Let j(b) be the third derivative of 2*b**5/15 - 3*b**4/2 + 8*b**3/3 - 32*b**2 + b. Factor j(n).
4*(n - 4)*(2*n - 1)
Let k(t) = t**3 + 7*t**2 - 3*t. Let w(i) = -4*i**2 + 2*i. Let q(v) = 4*k(v) + 10*w(v). Solve q(r) = 0 for r.
0, 1, 2
Let s be ((-13)/(-10))/(-13)*10/(-2). Let w = -2 + 2. Factor w + s*d - 1/2*d**2.
-d*(d - 1)/2
Factor -8/7*j + 2/7*j**2 + 6/7.
2*(j - 3)*(j - 1)/7
Let h be -1 + 3 - (41 + -11)/15. Factor h - 7/3*y**2 - 2/3*y.
-y*(7*y + 2)/3
Let z(j) be the third derivative of j**9/52920 - j**4/24 + j**2. Let y(p) be the second derivative of z(p). Solve y(i) = 0 for i.
0
Let b(k) be the third derivative of k**8/84 - 2*k**7/105 - k**6/30 + k**5/15 - 9*k**2. Factor b(n).
4*n**2*(n - 1)**2*(n + 1)
Let d be (-3 - (-8 - -4)) + 12/4. Let w(l) be the second derivative of 2*l + 0 + 1/75*l**6 + 0*l**3 + 0*l**5 + 0*l**2 - 1/30*l**d. Factor w(j).
2*j**2*(j - 1)*(j + 1)/5
Let d be 943/287 - 18/14. Factor 0*r**3 + 0 - 2/7*r**d + 0*r + 2/7*r**4.
2*r**2*(r - 1)*(r + 1)/7
Let o = 13 + -8. Let n(a) = 8*a**2 - 2. Let x(q) = -7*q**2 + q + 1. Let l(c) = o*n(c) + 6*x(c). Factor l(f).
-2*(f - 2)*(f - 1)
Let z(p) = 5*p**5 + 8*p**4 + 21*p**3 - 21*p**2 - 13*p. Let t(f) = 2*f**5 + 4*f**4 + 10*f**3 - 10*f**2 - 6*f. Let y(c) = -13*t(c) + 6*z(c). Factor y(v).
4*v**2*(v - 1)**2*(v + 1)
Let b(n) = n**2 - 8*n + 4. Let v(w) = -8*w**2 + 56*w - 28. Let p(c) = -20*b(c) - 3*v(c). Factor p(k).
4*(k - 1)**2
Let s(t) = -t**4 - t**3 + t**2 - 1. Let a(p) = -4*p**4 + 10*p**2 - 6. Let y = -2 - -7. Suppose y*j - 2*j = -3. Let m(i) = j*a(i) + 6*s(i). Solve m(q) = 0.
-2, -1, 0
Let y = 412/91 + -44/13. Factor -32/7*w - 2*w**2 - y.
-2*(w + 2)*(7*w + 2)/7
Suppose -9*p**2 + 5 - 4*p**2 + 8*p**2 = 0