e of -3 + 0*q**2 + 0*q**3 + 1/2*q**4 + 3/5*q**i + 0*q. Find o, given that v(o) = 0.
-2/3, 0
Let d(l) be the second derivative of -l**6/30 + l**5/15 + l**4/6 - 2*l**3/3 - 2*l**2 + 5*l. Let b(a) be the first derivative of d(a). Factor b(n).
-4*(n - 1)**2*(n + 1)
Let j(s) be the third derivative of -1/72*s**4 + 0 - 1/90*s**5 + 1/18*s**3 + 1/630*s**7 + 3*s**2 - 1/1008*s**8 + 1/180*s**6 + 0*s. Factor j(n).
-(n - 1)**3*(n + 1)**2/3
Suppose 4*w - 20 = -4. Factor 0*s + 0*s - w + 12*s - 30*s**2 + 10*s.
-2*(3*s - 1)*(5*s - 2)
Suppose c + 2*d + 11 = 12, c = -5*d - 2. Suppose 0*f**4 + 0*f**2 + 1/3*f**5 + 1/3*f - 2/3*f**c + 0 = 0. What is f?
-1, 0, 1
Let i(v) be the second derivative of -v**4/30 + 2*v**3/15 + 3*v**2/5 - 29*v. Determine z, given that i(z) = 0.
-1, 3
Let r(x) be the second derivative of -x**7/14 - 7*x**6/50 + 9*x**5/100 + 7*x**4/20 + x**3/5 - 7*x. Suppose r(f) = 0. Calculate f.
-1, -2/5, 0, 1
Let w(l) be the first derivative of 2*l**6/3 - 4*l**5 + 4*l**4 + 64*l**3/3 - 64*l**2 + 64*l + 39. Suppose w(k) = 0. Calculate k.
-2, 1, 2
Let i(k) be the first derivative of k**4 + 4*k**3/3 + 14. Factor i(s).
4*s**2*(s + 1)
Suppose 3*z - 2*s - 20 = 0, -16 = -z - 2*s - 4. Suppose -4*v**2 + 2*v**2 - 9*v - v**3 + z*v = 0. Calculate v.
-1, 0
Determine m, given that 3*m**2 + 3 - 2*m**3 - 6*m + 4*m**2 - m**2 - 1 = 0.
1
Let t(x) be the third derivative of -x**7/2520 + x**6/720 + x**4/12 - 3*x**2. Let m(p) be the second derivative of t(p). Factor m(n).
-n*(n - 1)
Let 1/3*d + 1/3*d**2 - 2/3 = 0. Calculate d.
-2, 1
Factor -56 + 8*x - 2/7*x**2.
-2*(x - 14)**2/7
Suppose -10 - 10 = -5*n. Let a(w) be the first derivative of -2/21*w**3 + 0*w + n - 1/14*w**4 + 0*w**2. Factor a(g).
-2*g**2*(g + 1)/7
Suppose -5*v + 17 = 2*s, 2*v + 5*s = 7*v - 10. Factor -2 - d**2 + v - 1.
-d**2
Let u(k) be the first derivative of -4*k**3 + 5*k**2 + 2*k + 30. Find l such that u(l) = 0.
-1/6, 1
Let o(d) be the third derivative of 0*d + 2*d**2 + 0 + 0*d**3 - 1/36*d**4 + 1/30*d**5 - 1/90*d**6. Factor o(u).
-2*u*(u - 1)*(2*u - 1)/3
Suppose 14 = 3*h - 13. Find w, given that h*w + 6 - 5*w**3 + 5*w**3 + 2*w**3 - 5*w**3 = 0.
-1, 2
Suppose 3*n + 15 = 5*t - 5, 0 = -5*t + 5*n + 20. Let g = t + -2. Solve -1 - 3*m**2 + 3*m**2 + m**g = 0.
-1, 1
Solve 10/7*f**3 - 8/7*f**2 + 0 - 4/7*f**4 + 2/7*f = 0.
0, 1/2, 1
Let v = -8/9 - -67/45. Suppose -4*y + 8 = -2*l, -8 = -0*y + 2*y + 2*l. Factor 0 + y*h + v*h**2.
3*h**2/5
Let h(v) = -v**2 - 8*v - 9. Let a be h(-6). Let b be 0*a/24*4. Let 1/4*r**2 + b + 0*r = 0. Calculate r.
0
Let h = 158 - 154. Let i(a) be the third derivative of 0 + 0*a + 3*a**2 - 1/150*a**5 - 1/60*a**h + 0*a**3. Factor i(c).
-2*c*(c + 1)/5
Let x(k) be the second derivative of k**6/75 + 3*k**5/25 + 3*k**4/10 + 19*k. Solve x(y) = 0 for y.
-3, 0
Let b be ((-5)/90)/((-76)/(-16) - 5). Find f such that 0*f**2 + 4/9*f**3 + 0 - b*f + 0*f**4 - 2/9*f**5 = 0.
-1, 0, 1
Determine a, given that 4*a**2 + 94*a - 4 - 44*a - 50*a = 0.
-1, 1
Let n(q) be the third derivative of q**7/420 - q**5/20 - q**4/6 + q**3/3 + 2*q**2. Let c(r) be the first derivative of n(r). Factor c(d).
2*(d - 2)*(d + 1)**2
Let r(t) be the first derivative of t**3 + 3*t**2/2 - 37. Determine c, given that r(c) = 0.
-1, 0
Suppose 6*d = -0*d + d. Let 1/3*t**2 + 1/3*t + d = 0. Calculate t.
-1, 0
Let x(b) be the third derivative of -b**5/180 - b**4/12 - b**3/2 - b**2. Let x(z) = 0. What is z?
-3
Let y(u) be the third derivative of -u**5/300 + u**3/30 - 19*u**2. Factor y(s).
-(s - 1)*(s + 1)/5
Suppose 0 - 4/7*i**3 + 0*i**2 + 4/7*i = 0. Calculate i.
-1, 0, 1
Let s = 1079 + -1079. Factor a**3 + 1/3*a + s + a**2 + 1/3*a**4.
a*(a + 1)**3/3
Let l(w) be the first derivative of -w**6/15 - 6*w**5/25 - 3*w**4/10 - 2*w**3/15 + 19. What is s in l(s) = 0?
-1, 0
Let t be (3/2)/((-1080)/(-320)). Let t*d + 2/3*d**2 - 2/9 = 0. What is d?
-1, 1/3
Let f = -3 - -6. Let c(u) be the first derivative of -10/21*u**f + 0*u - 1/2*u**4 - 1 + 2/7*u**2. Find z such that c(z) = 0.
-1, 0, 2/7
Let m be -4 - ((-79)/15 + 33/55). What is w in 0 + 2/3*w**2 + m*w = 0?
-1, 0
Let v be 7 + -8 - (-26)/18. Factor 2/9*k**3 - v - 2/3*k + 0*k**2.
2*(k - 2)*(k + 1)**2/9
Let s = 3 + -1. Suppose -2*n - i = -2, s*i + 6 = -2*n - 3*i. Solve -w - w**n + 2*w**2 + 0*w**2 = 0.
0, 1
Let w(f) = -f**5 + f**4 + f**3 + f**2. Suppose 4 = -3*h - h. Let m(o) = 5*o**5 - 3*o**4 - 6*o**3 - 4*o**2. Let n(a) = h*m(a) - 4*w(a). Factor n(j).
-j**3*(j - 1)*(j + 2)
Let f(p) be the third derivative of p**7/315 + p**6/90 - p**5/30 - p**4/9 + 4*p**3/9 - 12*p**2. Factor f(i).
2*(i - 1)**2*(i + 2)**2/3
Let i(m) = 56*m**4 + 6*m**3 - 84*m**2 - 34*m. Let o(r) = -r**2 - 2*r**4 - 9*r**4 + 7*r - r**3 + 18*r**2. Let s(y) = 3*i(y) + 14*o(y). Factor s(w).
2*w*(w - 1)*(w + 1)*(7*w + 2)
Let q(j) be the second derivative of -j**5/130 + j**3/13 + 2*j**2/13 - 40*j. Factor q(a).
-2*(a - 2)*(a + 1)**2/13
Let k be 15/27*(4/(-5))/(-2). Factor -2/9*a**2 - k*a + 0.
-2*a*(a + 1)/9
Let t(u) = -5*u + 4*u - 2 - 9. Let j be t(-11). Factor 0 - 2/9*m**2 + 2/9*m**3 + j*m.
2*m**2*(m - 1)/9
Let s(d) = 8*d**5 - 5*d**4 - 21*d**3 - 5*d**2 + 8*d - 5. Let k(q) = 20*q**5 - 12*q**4 - 52*q**3 - 12*q**2 + 20*q - 12. Let i(j) = 5*k(j) - 12*s(j). Factor i(w).
4*w*(w - 1)**2*(w + 1)**2
Let r(c) be the first derivative of c**3/3 + 2*c**2 + 4*c - 22. Factor r(q).
(q + 2)**2
Let t(q) be the first derivative of -q**4/12 - q**3/3 - q**2/2 - q/3 - 16. What is w in t(w) = 0?
-1
Let h(p) = p**2 - p - 1. Let d(s) = 2*s**2 - 4*s - 1. Let j(a) = -4*d(a) + 12*h(a). Suppose j(k) = 0. Calculate k.
-2, 1
Let g = 3 - 1. Suppose -4*v + 2*v = -5*y + g, 0 = 3*y - 3*v + 6. Let c(x) = -2*x. Let u(j) = -j**2 + 3*j + 1. Let k(i) = y*u(i) + 3*c(i). Solve k(r) = 0 for r.
-1, 1
Suppose -4*g - g - 4*j = -7, 2 = 2*g + 2*j. Let l(r) be the first derivative of 2*r**2 + 1/12*r**4 - 8/3*r + 3 - 2/3*r**g. Factor l(c).
(c - 2)**3/3
Suppose -1 = 4*j - 9. Let i(w) be the third derivative of -3*w**j + 0*w**3 - 1/90*w**5 + 0*w + 0 - 1/18*w**4. Determine v, given that i(v) = 0.
-2, 0
Factor 2*u**2 - 4*u**2 + 5*u**2 + 2*u**2 - 25*u.
5*u*(u - 5)
Suppose 0*t + 0 + 2/5*t**3 + 4/5*t**2 = 0. What is t?
-2, 0
Find o such that 0 - 2/15*o + 2/15*o**2 = 0.
0, 1
Let d(v) = -7*v + 14. Let q be d(2). Solve -2/3*h**2 - 2/3*h**4 + q - 4/3*h**3 + 0*h = 0.
-1, 0
Let t(h) = 32*h**2 - 48*h + 21. Let n(y) = 160*y**2 - 240*y + 104. Let g(l) = 3*n(l) - 14*t(l). Factor g(f).
2*(4*f - 3)**2
Let z(a) = -a**4 + a**2 + a. Let m(s) = -2*s**4 - 12*s**3 + 18*s**2 + 2*s. Suppose 12 = -p + 3*p. Let v(c) = p*z(c) - m(c). Find n such that v(n) = 0.
0, 1
Suppose p = 3*p. Let n(j) be the third derivative of 1/480*j**6 + 0*j**4 + 0*j + 1/120*j**5 - 2*j**2 + p*j**3 + 0. Solve n(t) = 0.
-2, 0
Let v(z) be the third derivative of z**6/240 + z**5/180 - 12*z**2. Factor v(j).
j**2*(3*j + 2)/6
Let p(f) = 6*f**2 + 3. Let a = -12 - -7. Let n(x) = 11*x**2 - x + 5. Let d(v) = a*p(v) + 3*n(v). Factor d(q).
3*q*(q - 1)
Suppose -5*y + 35 = -5*b, -3*b + b - 38 = -4*y. Determine u so that 2*u**3 + 32*u**2 + 0*u**3 + 16*u - y*u**4 + 2*u**3 = 0.
-1, -2/3, 0, 2
Suppose j = -2*j. Let k(t) be the first derivative of 1/3*t**3 + 1/3*t**6 + 2 + j*t - 1/5*t**5 - 3/4*t**4 + 1/2*t**2. Solve k(u) = 0.
-1, -1/2, 0, 1
Suppose -5*d - 3*s + 0 = 1, -2*s = -4*d - 14. Let j be 2 + d/1 + 8. Factor 2*y**4 - y**4 - j*y**2 + 8*y**2 + y**3.
y**3*(y + 1)
Let q(z) be the first derivative of -z**7/210 - 3*z**3 + 2. Let p(w) be the third derivative of q(w). Factor p(x).
-4*x**3
Let x = 228 - 5699/25. Let n(p) be the second derivative of -1/30*p**4 + 3*p - x*p**6 + 0*p**2 + 1/15*p**3 + 0 - 1/10*p**5. Let n(c) = 0. What is c?
-1, 0, 1/3
Suppose -3 - 3 = -3*n. Factor -2 + 0 - 4*p - 6*p**n - 4*p.
-2*(p + 1)*(3*p + 1)
Let a(p) be the first derivative of p**4/36 + 5*p**3/9 + 25*p**2/6 + 125*p/9 - 14. Suppose a(m) = 0. Calculate m.
-5
Factor 4/7*z + 2/7*z**2 - 6/7.
2*(z - 1)*(z + 3)/7
Suppose 1/2*p**3 + 0*p - 3/2*p**4 + 0 + 0*p**2 + p**5 = 0. Calculate p.
0, 1/2, 1
Suppose -5*f = -0*f. Let -6*c**2 + 7*c**2 + f*c**2 - c = 0. What is c?
0, 1
Let q(b) be the first derivative of -b**3/4 + 9*b**2/8 - 3*b/2 - 22. Suppose q(v) = 0. What is v?
1, 2
Let o be 57/108 + 34/153. Factor -1/2*i - o*i**4 + 0 + i**3 + 1/4*i**2.
-i*(i - 1)**2*(3*i + 2)/4
Let y be 2/9 - 238/(-63). Let q = 8 - y. Fact