8*y**2 - y**3 - 4*y = 0. Calculate y.
-2, 0, 2/3, 1
Let i(t) be the second derivative of -t**5/70 + t**3/7 - 2*t**2/7 + 5*t. Suppose i(m) = 0. What is m?
-2, 1
Let k(c) be the second derivative of c**5/80 + 3*c**4/16 + 9*c**3/8 - 2*c**2 - 10*c. Let v(a) be the first derivative of k(a). Solve v(h) = 0.
-3
Solve -2*b**2 - 1/4*b**4 - b - 5/4*b**3 + 0 = 0 for b.
-2, -1, 0
Factor 12/13*v - 2/13*v**2 - 2/13 - 48/13*v**3 - 32/13*v**4.
-2*(v + 1)**2*(4*v - 1)**2/13
Let z(d) be the first derivative of -27*d**5/20 + 27*d**4/8 - 3*d**3 + d**2 - 15. Determine s, given that z(s) = 0.
0, 2/3
Let 6*l**5 + 3 + 18*l**2 + 4 + 3*l**5 - 24*l**4 - 21*l - 1 + 12*l**3 = 0. What is l?
-1, 2/3, 1
Suppose -4*w = -6 - 6. Suppose -4*x**3 + 8*x**3 + x**5 - 2*x**3 + w*x**4 = 0. What is x?
-2, -1, 0
Let t(w) be the second derivative of -w**5/110 - w**4/33 - w**3/33 - 2*w. Solve t(d) = 0 for d.
-1, 0
Let w(b) = b**3 + 3*b**2 + 2*b + 2. Let o be w(-2). Suppose -o*l + 3*l = 0. Determine c, given that l + 2/5*c**2 - 2/5*c = 0.
0, 1
Let f(h) be the third derivative of h**7/2520 + h**4/24 - h**2. Let i(t) be the second derivative of f(t). Determine w, given that i(w) = 0.
0
Suppose 28/3*x + 0 + 2/3*x**2 = 0. Calculate x.
-14, 0
Let c(p) be the first derivative of p**5/60 - p**4/12 - p**2 - 4. Let r(d) be the second derivative of c(d). Let r(z) = 0. Calculate z.
0, 2
Factor -464 - 7*b - 14*b - b**2 + 446 - 2*b**2.
-3*(b + 1)*(b + 6)
Let t(k) be the third derivative of 1/180*k**6 + 0*k + 1/630*k**7 + 0*k**5 - 1/36*k**4 - 6*k**2 + 0 - 1/18*k**3. Factor t(s).
(s - 1)*(s + 1)**3/3
Let f = 4/11 + 3/22. Let l(s) be the first derivative of 1 - 2/3*s**3 + 2/5*s**5 + 1/2*s**6 - s**4 + f*s**2 + 0*s. Let l(p) = 0. Calculate p.
-1, 0, 1/3, 1
Let w(i) be the second derivative of -i**10/75600 + i**8/8400 - i**6/1800 + i**4/6 - i. Let m(c) be the third derivative of w(c). What is g in m(g) = 0?
-1, 0, 1
Let t(h) be the second derivative of -h**8/840 + h**7/210 - h**6/180 - h**3/3 - 3*h. Let g(k) be the second derivative of t(k). Factor g(m).
-2*m**2*(m - 1)**2
Let x(s) = s**3 - 3*s + 1. Let g(t) = t**3 - t**2 - 1. Let b(a) = 5*g(a) + 5*x(a). Suppose b(l) = 0. What is l?
-1, 0, 3/2
Let m(q) be the second derivative of -q**4/12 + q**3/6 - 2*q. What is i in m(i) = 0?
0, 1
Let q = -12/11 + 93/55. Factor 0 - q*l**2 + 6/5*l.
-3*l*(l - 2)/5
Solve -6*s**3 - 6*s**3 - 3*s - 10 - 12*s + 17*s**3 = 0 for s.
-1, 2
Let p(h) be the first derivative of h**6/180 + h**5/15 + h**4/3 - h**3/3 - 3. Let x(b) be the third derivative of p(b). Factor x(z).
2*(z + 2)**2
Let x(m) = -5*m - 45. Let y be x(-10). Let s(g) be the second derivative of 1/75*g**6 - 1/25*g**y - 1/30*g**4 + 2/15*g**3 + 0*g**2 + g + 0. Factor s(t).
2*t*(t - 2)*(t - 1)*(t + 1)/5
Let t(u) = u**3 + 6*u**2 - 3*u - 4. Let m be t(-6). Suppose -2*n - 14 = -0*n + 5*g, 2*g + m = 2*n. Factor 0*x + 0*x**2 - 5/2*x**4 + 0 + x**n.
-x**3*(5*x - 2)/2
Let u(k) = -5*k**2 + 0*k + k - k. Let f(s) = s**2 + s. Let c(j) = 2*f(j) + u(j). Find o such that c(o) = 0.
0, 2/3
Let f = 215/846 - 3/94. Solve 4/9*p - f*p**2 - 2/9 = 0.
1
Let c(f) be the third derivative of -f**7/11340 - f**6/3240 + f**4/6 - 2*f**2. Let b(w) be the second derivative of c(w). Let b(n) = 0. Calculate n.
-1, 0
Let w = -210 - -843/4. Let -1/4*c**2 + 0 + 0*c + w*c**3 + 1/4*c**5 - 3/4*c**4 = 0. Calculate c.
0, 1
Let v(n) be the first derivative of -3*n**5/5 + 3*n**4 - 5*n**3 + 3*n**2 + 12. Factor v(f).
-3*f*(f - 2)*(f - 1)**2
Suppose 0*f + f - 2 = l, -2*f = 3*l - 4. Factor -f*z**2 - 2*z**5 + 7*z**3 + 6*z**4 + 4*z**2 - 13*z**3.
-2*z**2*(z - 1)**3
Let q(z) = -10*z**2 - 40*z - 45. Let y(m) = -5*m**2 - 20*m - 22. Let p(x) = 2*q(x) - 5*y(x). Find o such that p(o) = 0.
-2
Let d(i) = -3*i**5 - 9*i**4 + 9*i**2 + 4*i. Let s(j) = -j**5 + j**4 - j**2. Let o(l) = -d(l) - s(l). Factor o(m).
4*m*(m - 1)*(m + 1)**3
Let g(v) be the first derivative of -v**5/10 + v**3/3 - 2*v - 1. Let x(o) be the first derivative of g(o). Factor x(c).
-2*c*(c - 1)*(c + 1)
Determine i so that -10*i**3 + 9*i**3 - 14*i**3 + 5*i - 12*i**4 + 22*i**4 = 0.
-1/2, 0, 1
Let i = 3 - 2. Determine a, given that 0*a**3 - 1 - 2*a**3 + i - 4*a**2 + 2*a**4 = 0.
-1, 0, 2
Factor -5*d**4 - 8*d**4 + 64*d**3 - 80 + 176*d + d**5 - 108*d**2 - 6*d**2 - 38*d**2.
(d - 5)*(d - 2)**4
Let i = 138 + -412/3. Let w be (1 - 0) + 2/(-6). Factor -w*c**2 - i - 4/3*c.
-2*(c + 1)**2/3
Let z(m) = m**2 - m - 1. Let s(x) = -6*x**3 + 72*x**2 - 189*x + 66. Let i(d) = -s(d) + 9*z(d). Suppose i(u) = 0. What is u?
1/2, 5
Let r(t) be the third derivative of -t**5/240 + t**4/32 - t**3/12 + 15*t**2. Factor r(l).
-(l - 2)*(l - 1)/4
Let o(u) = u + 1. Let r(i) be the first derivative of 4*i**3/3 - 9*i**2/2 - 13*i + 4. Let f(q) = -5*o(q) - r(q). Suppose f(k) = 0. What is k?
-1, 2
Suppose -14 - 2 = -2*x. Let c(v) = -2*v**2 - 5*v + 5. Let p(y) = 3*y**2 + 8*y - 8. Let a(k) = x*c(k) + 5*p(k). Find i such that a(i) = 0.
0
Let i = 319/5 - 4784/75. Let d(j) be the second derivative of -3*j + 0*j**2 + 0 - i*j**6 + 0*j**5 + 1/10*j**4 - 2/15*j**3. Factor d(r).
-2*r*(r - 1)**2*(r + 2)/5
Let u(x) = x**2 - 4*x - 7. Let v(j) = 4*j**2 - 11*j - 20. Let m be ((-21)/12)/(1/4). Let z(l) = m*u(l) + 2*v(l). Find d, given that z(d) = 0.
-3
Let k(m) be the second derivative of m**7/231 - m**6/165 - 2*m**5/55 + 2*m**4/33 - 4*m. Find j, given that k(j) = 0.
-2, 0, 1, 2
Let v(d) be the first derivative of 7*d**6/24 + 23*d**5/20 + 3*d**4/8 - 15. Factor v(g).
g**3*(g + 3)*(7*g + 2)/4
Let a(o) be the third derivative of -o**6/1260 + 5*o**3/3 + 3*o**2. Let i(r) be the first derivative of a(r). Find z such that i(z) = 0.
0
Suppose 8/9 + 146/9*t**2 - 154/9*t**4 + 98/9*t**5 - 64/9*t - 34/9*t**3 = 0. Calculate t.
-1, 2/7, 1
Suppose -11 - 13 = -6*j. Suppose -o**3 + 0*o + j*o - o**3 + 2*o**2 = 0. Calculate o.
-1, 0, 2
Let t(q) be the third derivative of q**8/84 + 8*q**7/105 + q**6/5 + 4*q**5/15 + q**4/6 - 6*q**2. Factor t(b).
4*b*(b + 1)**4
Let s(p) = -7*p**2 - 8*p - 7. Let y(t) = 8*t**2 + 8*t + 8. Let k(d) = 4*s(d) + 3*y(d). Factor k(i).
-4*(i + 1)**2
Suppose 0 = n + 1 - 9. Suppose -5*a = -a - n. Find i, given that 0*i**2 - 2*i**2 + a + 0 + 0 = 0.
-1, 1
Suppose -3*k - 9 = 5*i, -3*i - 3 = 3*k + 6. Let 0*p**2 + 2/9*p**3 + 0*p + i = 0. Calculate p.
0
Let k be (-6)/10*(-4)/6. Let m = -1399/5 - -281. Suppose 2/5*d**3 + m*d + k + 6/5*d**2 = 0. Calculate d.
-1
Factor 4/19 - 12/19*d**2 - 18/19*d + 10/19*d**3.
2*(d - 2)*(d + 1)*(5*d - 1)/19
Let k(i) = -i**2 - 4*i + 2. Let r be k(-5). Let o(c) = c**3 + 3*c**2 + 3. Let q be o(r). What is j in 0 + 2/5*j**2 + 1/5*j + 1/5*j**q = 0?
-1, 0
Suppose 16 = 3*i + 4*v, 2*v = -3*i + 5*v + 9. Let u(h) be the second derivative of 1/48*h**i - 4*h + 0*h**2 + 1/12*h**3 + 0. Suppose u(s) = 0. What is s?
-2, 0
Let x = -12 - -16. Let r(w) be the second derivative of 0 - w - 1/7*w**2 + 0*w**x + 1/35*w**5 - 2/21*w**3 + 1/105*w**6. What is f in r(f) = 0?
-1, 1
Factor 0 + 8/3*v**3 - 2/3*v**2 - 4/9*v - 14/9*v**4.
-2*v*(v - 1)**2*(7*v + 2)/9
Let d(w) = -2 + w**2 + 7*w + 1 - 7*w. Let l(j) = j**3 + 7*j**2 + 8*j + 2. Let t(x) = -4*d(x) + 2*l(x). Determine m so that t(m) = 0.
-2, -1
Let y = -2446258 - -1086139739/444. Let n = -1/148 + y. Factor -8/3*a**4 - n*a**2 - 4*a**3 - 2/3*a**5 - 2/3*a + 0.
-2*a*(a + 1)**4/3
Factor 40/11*n**2 + 36/11*n**3 + 2/11*n**5 + 16/11*n + 0 + 14/11*n**4.
2*n*(n + 1)*(n + 2)**3/11
Suppose -2*k - 4*m = 0, 0 = -2*k - m + 1 + 5. Let g(o) be the first derivative of 1/8*o**2 + 1 + 0*o + 0*o**3 - 1/16*o**k. Find s, given that g(s) = 0.
-1, 0, 1
Let d be ((-68)/4)/(3 - 0). Let x = 77/12 + d. Solve x*l**3 + 1/4*l**4 + 0 + 1/4*l + 3/4*l**2 = 0 for l.
-1, 0
Let w(k) = -6*k**2 - 12*k - 11. Let h(f) = 3*f**2 + 6*f + 5. Let v(l) = -5*h(l) - 2*w(l). Factor v(d).
-3*(d + 1)**2
Factor -1/7*d**3 + 4/7*d**2 + 1/7*d - 4/7.
-(d - 4)*(d - 1)*(d + 1)/7
Let p(i) = -5*i**3 + 2*i**2 + 9*i - 8. Let u(t) = -26*t**3 + 11*t**2 + 45*t - 41. Let w(x) = -11*p(x) + 2*u(x). Suppose w(l) = 0. What is l?
-2, 1
Let p(l) be the second derivative of l**5/10 - l**4/2 + l**3 - l**2 + 2*l. Factor p(t).
2*(t - 1)**3
Let o be (3/(9/(-14)))/((-4)/9). What is i in 0 + o*i**3 + 0*i + 3*i**2 = 0?
-2/7, 0
Suppose -4*u + 30 = 2*n, -6*u = -n - 2*u + 33. Suppose 4*m = -5*p + n, -2*m = 4*p - 12 - 6. Find a, given that -2*a**3 + 0*a**4 + 