/2*c**5 + k*c**2 + 5/2*c**4 = 0. Calculate c.
-1
Let c(q) = q**3 - 8*q**2 + 7*q + 2. Let j be c(7). Let t(g) be the second derivative of 0 + g**3 + j*g + g**2 + 3/8*g**4. Let t(i) = 0. What is i?
-2/3
Let k(i) = -i**2. Let p(h) = -2 + h**3 + 5*h - 3 + 3 - 10*h**2. Let o be (-4)/(-22) - 78/66. Let n(t) = o*p(t) + 6*k(t). What is b in n(b) = 0?
1, 2
Let v(w) = w**3 + 7*w**2 + 4*w + 4. Let l be v(-6). What is t in -70 + 86 + l*t + 3*t**2 + t**2 = 0?
-2
Factor 65*d - 29*d - 30*d + 2*d**2.
2*d*(d + 3)
Factor 24*p - 47 - 4*p**2 + 5 + p**2 - 6.
-3*(p - 4)**2
Factor -16/9*j + 16/9*j**3 + 4/9*j**4 - 4/3 + 8/9*j**2.
4*(j - 1)*(j + 1)**2*(j + 3)/9
Solve -2*l**2 + 0 - 1/2*l = 0.
-1/4, 0
Let m(y) = 8*y**3 + 16*y**2 + 6*y - 12. Let q(c) = -7*c**3 - 15*c**2 - 6*c + 13. Let k = 0 - 5. Let r(x) = k*m(x) - 6*q(x). Determine o so that r(o) = 0.
-3, 1
Let g(y) = y**2 - 2*y - 9. Let i(l) = 0*l**2 - 2*l + 0*l + l**2 - 8. Let v(r) = -5*g(r) + 6*i(r). Factor v(a).
(a - 3)*(a + 1)
Suppose 3*d**2 + 1 - d + d**2 - 4*d = 0. Calculate d.
1/4, 1
Let s = -11 + 14. Let q(y) be the first derivative of -2/3*y - 20/9*y**s + 1/9*y**6 + 5/3*y**4 - 2/3*y**5 + 2 + 5/3*y**2. Let q(m) = 0. What is m?
1
Suppose 0*y**3 + 0*y**2 - 4/3*y**4 + 0*y - 4/3*y**5 + 0 = 0. Calculate y.
-1, 0
Let z(f) be the third derivative of -f**5/150 - f**4/120 + f**3/30 + 4*f**2. Factor z(b).
-(b + 1)*(2*b - 1)/5
Let g(v) be the first derivative of 2*v**5/15 - v**4/2 + 4*v**2/3 - 2. What is l in g(l) = 0?
-1, 0, 2
Let n(r) = -r**2 + 1. Let g(a) = 183*a**2 + 300*a + 122. Let h(o) = -g(o) - 3*n(o). Determine z so that h(z) = 0.
-5/6
Let l(q) be the third derivative of q**6/420 - q**5/210 + 59*q**2. What is d in l(d) = 0?
0, 1
Let a = -5/9 + 19/18. Find u such that u**2 + a*u**5 - 1/2*u + 0 + 0*u**3 - u**4 = 0.
-1, 0, 1
Determine a, given that 0*a - 4/7*a**2 + 0 - 18/7*a**4 - 22/7*a**3 = 0.
-1, -2/9, 0
Factor 48/5 + 3/5*p**2 - 24/5*p.
3*(p - 4)**2/5
Let a(s) be the third derivative of s**7/5040 - s**4/8 + 4*s**2. Let n(z) be the second derivative of a(z). Factor n(x).
x**2/2
Let 0*k**3 - 1/2 + 0*k - 1/2*k**4 + k**2 = 0. What is k?
-1, 1
Let h(z) = 18*z**3 - 33*z**2 + 30*z - 9. Let i(n) = n**3 + 0 - 6*n**2 - 1 + 7*n**2 + n. Let c(a) = h(a) - 3*i(a). Factor c(j).
3*(j - 1)**2*(5*j - 2)
Let t(j) = -4*j**3 + 10*j**2 - 18*j - 38. Let x(v) = v**2 + 1. Let c(o) = -4*t(o) - 44*x(o). Determine r so that c(r) = 0.
-3/4, 3
Let m(l) = -5*l**2 + 31*l - 31. Let u(a) = a**2 - 6*a + 6. Let j(c) = -3*c - 1. Let p be j(-4). Let k(r) = p*u(r) + 2*m(r). Suppose k(o) = 0. What is o?
2
Find y such that 44*y**2 - 22*y**2 - 26*y**2 + 12*y = 0.
0, 3
Let b(x) = -x - 10*x + 10*x. Let f be b(-2). Let 2/3*y**f - 4/3 - 2/3*y = 0. What is y?
-1, 2
Let o(h) be the second derivative of h**4/42 + h**3/7 - 4*h**2/7 + 3*h. Determine r so that o(r) = 0.
-4, 1
Let o = -73 - -77. Let a(p) be the third derivative of -5/36*p**o + 0 + 8/315*p**7 + 0*p - p**2 + 1/18*p**3 + 11/60*p**5 - 1/9*p**6. Factor a(g).
(g - 1)**2*(4*g - 1)**2/3
Let j(w) = w**5 + w**3 - w + 1. Let i(g) = -3*g**5 - g**4 - 7*g**3 + g**2 + 6*g - 4. Let y(k) = -i(k) - 4*j(k). Solve y(n) = 0.
-1, 0, 1, 2
Let j(m) be the second derivative of -2*m**6/15 - m**5/5 + m**4/3 + 2*m**3/3 - 25*m. Find d, given that j(d) = 0.
-1, 0, 1
Suppose -63 - 53 = -4*o. Let t be 6/(-27) - o/(-9). Factor 2/5*j**t + 0*j + 2/5*j**2 + 0 - 2/5*j**4 - 2/5*j**5.
-2*j**2*(j - 1)*(j + 1)**2/5
Let x be (-15)/(-12) - 1/(-4). Solve x*s**4 + 0*s + 0*s**2 - 3/4*s**5 - 3/4*s**3 + 0 = 0 for s.
0, 1
Let o be (-4)/6 - 80/(-12). Let k = o - 4. Determine c, given that -4/7*c**3 + 2*c**2 + 4/7*c + 0 - k*c**4 = 0.
-1, -2/7, 0, 1
Let h be (-120 + 126)/(-2*3/(-4)). Factor 0*c**2 + 0 + 8/3*c**3 + 0*c + 50/3*c**5 - 40/3*c**h.
2*c**3*(5*c - 2)**2/3
Let a(m) = 8*m**4 + 14*m**3 - 2*m**2 - 14*m. Let p(n) = n**4 + n**3 - n**2 - n + 1. Let l(q) = -2*a(q) + 12*p(q). Factor l(c).
-4*(c - 1)*(c + 1)**2*(c + 3)
Let k = 38 - 35. Let b(a) be the first derivative of 7/8*a**2 - 1/2*a + 1 + 5/16*a**4 - 1/20*a**5 - 3/4*a**k. Factor b(y).
-(y - 2)*(y - 1)**3/4
Let b = 9 - 7. Let -2*r**3 + 3*r + r**2 - 5*r**2 - 2*r + r**5 + 2*r**b + r**4 + 1 = 0. What is r?
-1, 1
Let j = -1126 + 7884/7. Suppose 7*v = 2*v + 15. Solve -32/7*d**v - j - 10/7*d**4 - 16/7*d - 36/7*d**2 = 0 for d.
-1, -1/5
Let r(a) be the first derivative of -a**6/1440 - a**5/160 - a**3 + 6. Let i(y) be the third derivative of r(y). Solve i(s) = 0.
-3, 0
Suppose -f - 2*f = -9. Factor -h + 3*h - h**3 - h**3 + 0*h**f.
-2*h*(h - 1)*(h + 1)
Determine l so that -2/5*l + 2/5*l**4 + 0 - 2/5*l**2 + 2/5*l**3 = 0.
-1, 0, 1
Suppose 3*v = 2*v - 2. Let g = -2 - v. Solve -2/5*w**2 + g - 2/5*w = 0 for w.
-1, 0
Let p = -1/49 - -52/147. Let u(q) be the first derivative of 2 + p*q**3 + 0*q + q**2. Factor u(o).
o*(o + 2)
Let g(l) be the third derivative of 0*l + 0 - 1/4*l**6 + 3*l**2 - 11/105*l**7 - 1/6*l**4 - 3/10*l**5 - 1/56*l**8 + 0*l**3. Factor g(d).
-2*d*(d + 1)**3*(3*d + 2)
Let x(b) be the third derivative of 0*b**3 - 1/420*b**6 + 0*b**4 + 0*b + 0 + 1/735*b**7 - 2*b**2 + 0*b**5. Suppose x(a) = 0. Calculate a.
0, 1
Let q(w) be the third derivative of -w**6/1260 - w**5/210 - 2*w**3/3 + 4*w**2. Let b(i) be the first derivative of q(i). Let b(f) = 0. What is f?
-2, 0
Let w(j) = -j**2 + 4*j + 3. Let b be w(4). Factor 4*u**5 - 5*u**3 + 0*u**3 - b*u**5 + 3*u**3 + u.
u*(u - 1)**2*(u + 1)**2
Let h = -893/21 - -76/7. Let n = h - -32. Find p, given that 2*p**3 + 0 + 1/3*p + 4/3*p**4 + n*p**5 + 4/3*p**2 = 0.
-1, 0
Let v(c) be the second derivative of c**4/36 + 5*c**3/18 - 7*c**2/3 - 2*c + 9. Solve v(g) = 0.
-7, 2
Factor 73/2*r**2 - 7*r + 88*r**4 - 86*r**3 - 32*r**5 + 1/2.
-(r - 1)**2*(4*r - 1)**3/2
Let n be (1/(-6))/(12/(-72)). Let d = n + 1. Solve 2/7*i**d + 0 + 0*i = 0.
0
Factor -1/4*w - 1/4*w**2 + 0.
-w*(w + 1)/4
Factor 0*q + 48/11*q**3 - 24/11*q**2 + 0 + 6/11*q**5 - 30/11*q**4.
6*q**2*(q - 2)**2*(q - 1)/11
Solve -4*w**5 + 13*w**5 + 6*w**2 + 12*w**4 - 8*w**5 - 4*w**5 - 15*w**3 = 0 for w.
0, 1, 2
Let b(o) = 19*o + 136. Let z be b(-7). Suppose 2/5*j + 0 + 2/5*j**z - 4/5*j**2 = 0. Calculate j.
0, 1
Let h = 9/14 - 13/21. Let w(y) be the second derivative of -h*y**4 + 0*y**2 - 2/21*y**3 + 0 + y. Factor w(p).
-2*p*(p + 2)/7
Let z(a) = 11*a**3 + 11*a**2 - 10*a. Let f(q) = 65*q**3 + 65*q**2 - 60*q. Let p(h) = -6*f(h) + 35*z(h). Let p(y) = 0. Calculate y.
-2, 0, 1
Let s be (14/7)/(-2)*15/(-3). Determine j so that -38/9*j**3 + 8/9 + 14/9*j**4 + 50/9*j**2 - 2/9*j**s - 32/9*j = 0.
1, 2
Let a(b) = b**3 - b**2 - b + 1. Let c(t) = -6*t**3 + 10*t**2 - 4. Let w(n) = 4*a(n) + c(n). Let w(r) = 0. Calculate r.
0, 1, 2
Let l(u) = 2*u - 1. Let r be l(9). Factor -v + r*v**3 - v + 0*v + 20*v**4 + 0*v**2 - 5*v**2.
v*(v + 1)*(4*v + 1)*(5*v - 2)
Suppose k - 8 = -k. Suppose 10 = -d + 6*d. Factor -k - w**3 - w**d + 4.
-w**2*(w + 1)
Factor -18*p - 8 + 2*p + 4*p**3 + 4*p.
4*(p - 2)*(p + 1)**2
Find o such that 0 - 2/9*o + 2/9*o**3 + 2/9*o**2 - 2/9*o**4 = 0.
-1, 0, 1
Suppose 20 = 11*m - 6*m. Let u(g) be the first derivative of 1/5*g**2 + 1 - 8/15*g**3 + 1/15*g**6 + 0*g - 8/25*g**5 + 3/5*g**m. Factor u(o).
2*o*(o - 1)**4/5
Let i(p) be the first derivative of -p**7/2100 + p**6/300 - p**5/150 + 4*p**3/3 - 3. Let a(b) be the third derivative of i(b). Factor a(d).
-2*d*(d - 2)*(d - 1)/5
Let w(o) be the second derivative of o**6/135 + 2*o**5/45 + 5*o**4/54 + 2*o**3/27 + o - 23. Factor w(y).
2*y*(y + 1)**2*(y + 2)/9
Find i such that 0 + 16/5*i + 10*i**5 - 22*i**4 - 12/5*i**3 + 56/5*i**2 = 0.
-2/5, 0, 1, 2
Let t(h) be the third derivative of 0*h**3 + 3*h**2 + 0*h**4 + 0 + 1/270*h**5 + 0*h - 1/540*h**6. Solve t(s) = 0.
0, 1
Let q(t) be the third derivative of t**8/112 - 3*t**6/40 + t**5/10 + 21*t**2. Find r such that q(r) = 0.
-2, 0, 1
Let w(z) be the first derivative of z**2 + 1/15*z**5 + 1/8*z**4 + 0*z + 3 - 1/6*z**3. Let p(v) be the second derivative of w(v). Suppose p(c) = 0. What is c?
-1, 1/4
Let r(a) be the first derivative of -4/15*a**5 - 1/9*a**6 + 0*a - 1/6*a**4 - 5 + 0*a**2 + 0*a**3. Find y, given that r(y) = 0.
-1, 0
Let z = -2509/12 + 631/3. Factor 0 + 0*c + 1/2*c**2 + 3/4*c**4 + z*c**3.
c**2*(c + 1)*(3*c + 2)/4
Suppose 3 + 5 = -i - 2*t, 2*i = 3*t + 12. Suppose -2/3*a**2 + 0*a + i = 0. Calculate a.
0
Let u(q) be the third derivative o