z**2 - 184/5*z - 1456/5*z**4 - 98*z**5 = 0. What is z?
-1, -2/5, -2/7
Let u(o) = o. Suppose 5*t + 1 = -2*q, -5*q - t = 1 - 10. Suppose -28 = 5*v - 3*v. Let b(p) = p**2 + 7*p - 1. Let d(f) = q*b(f) + v*u(f). What is c in d(c) = 0?
-1, 1
Suppose -2*c = -3*h - 15, 2*h = -3*c - 8 - 2. Factor -4/3*q**3 - 8/3*q**2 + c - 4/3*q.
-4*q*(q + 1)**2/3
Factor 3/5*n + 3/5*n**3 + 6/5*n**2 + 0.
3*n*(n + 1)**2/5
Suppose 6*u - 3*u = -5*p + 40, -2*u = 3*p - 25. Find v such that -6*v**2 + p*v**2 + 3*v**2 = 0.
0
Let q(p) be the second derivative of -p**4/78 - p**3/39 + 2*p**2/13 + 5*p. What is c in q(c) = 0?
-2, 1
Let l be 2/(-11) + 388/(-880)*-2. Let p(z) be the second derivative of 0 + 0*z**3 - l*z**6 - 2/5*z**5 + 0*z**2 + 1/3*z**4 + 2*z. Solve p(a) = 0.
-2/3, 0, 2/7
Let j(c) be the first derivative of c**6/12 - 2*c**5/5 + 3*c**4/4 - 2*c**3/3 + c**2/4 - 4. Factor j(m).
m*(m - 1)**4/2
Let d = 2326/9 + -258. Factor d - 2/3*f**2 + 10/9*f.
-2*(f - 2)*(3*f + 1)/9
Let p = 6934/35 - 198. Let w(g) be the first derivative of 1 + p*g**5 + 1/21*g**6 - 4/21*g**3 + 0*g + 0*g**4 - 1/7*g**2. Find o such that w(o) = 0.
-1, 0, 1
Factor -k**2 + 3/2*k**3 - 6*k + 4.
(k - 2)*(k + 2)*(3*k - 2)/2
Let t(w) be the first derivative of 1/21*w**6 - 2/35*w**5 + 2/21*w**3 - 3 + 0*w**2 - 1/14*w**4 + 0*w. Factor t(r).
2*r**2*(r - 1)**2*(r + 1)/7
Let y be (5 - 5/(-5))/3. Solve -1/7 - 5/7*h - 10/7*h**y - 10/7*h**3 - 5/7*h**4 - 1/7*h**5 = 0.
-1
Let l(f) be the third derivative of -f**6/180 - f**5/15 + f**4/36 + 2*f**3/3 + f**2 - 8. Factor l(z).
-2*(z - 1)*(z + 1)*(z + 6)/3
Let s = 2 - -1. Suppose 0 = -4*h + 2 + 6. Suppose -g + 0*g**2 - g**2 + h + g**s - 1 = 0. What is g?
-1, 1
Let r(l) = -81*l**4 - 192*l**3 - 240*l**2 - 96*l. Let p(i) = -5*i**4 - 12*i**3 - 15*i**2 - 6*i. Let m(d) = -33*p(d) + 2*r(d). Suppose m(j) = 0. Calculate j.
-2, -1, 0
Let q(k) be the first derivative of -k**6/12 - k**5/10 + k**4/8 + k**3/6 - 22. Factor q(x).
-x**2*(x - 1)*(x + 1)**2/2
Suppose -5*m - 2 = -3*m. Let a = 5 + m. Factor 4*f**2 - 2*f - 2*f**3 + a*f**3 - 4*f**3.
-2*f*(f - 1)**2
Suppose -9*v + 11 = -11*v + 3*n, -v + n = 3. Factor -18*m**3 + 6*m + 3*m**v - 27/2*m**4 - 3/2.
-3*(m + 1)**2*(3*m - 1)**2/2
Let w(l) be the third derivative of l**7/1785 - l**6/510 - l**5/510 + l**4/102 - 8*l**2. Factor w(o).
2*o*(o - 2)*(o - 1)*(o + 1)/17
Let m(u) be the second derivative of -u**6/900 - u**5/150 - u**3/3 - 2*u. Let p(r) be the second derivative of m(r). Factor p(g).
-2*g*(g + 2)/5
Let d(s) be the second derivative of 1/42*s**4 + 0 + 2*s + 9/7*s**2 + 2/7*s**3. Factor d(q).
2*(q + 3)**2/7
Let i be 2/(-8) + 21/4. Let j(f) = f - 3. Let w be j(7). Factor -3*a**3 + 3*a + w*a**3 + a - i*a.
a*(a - 1)*(a + 1)
Let k(t) = -6*t**4 + 29*t**3 + 23*t**2 - 12*t - 17. Let u(c) = c**4 - 5*c**3 - 4*c**2 + 2*c + 3. Let a(z) = -6*k(z) - 34*u(z). Let a(l) = 0. What is l?
-1, 0, 1, 2
Solve 144*n**2 - 3 - 8 + 15 - 48*n = 0 for n.
1/6
Let u(n) = -9*n**5 - 9*n**4 + 18*n**3 - 8*n**2 + 8. Let o(l) = -6*l**5 - 6*l**4 + 12*l**3 - 5*l**2 + 5. Let p(k) = 8*o(k) - 5*u(k). Factor p(q).
-3*q**3*(q - 1)*(q + 2)
Let k(f) be the third derivative of f**5/30 + f**4/12 + 4*f**2. Solve k(a) = 0 for a.
-1, 0
Let -27*q**2 - 5*q**3 + 17*q**2 - 15*q**2 = 0. What is q?
-5, 0
Let x(c) = c**2 - 4*c - 1. Let d be x(5). Let o be 16/24 - d/6. Factor -1/4*h - 1/4*h**2 + o.
-h*(h + 1)/4
Let l(t) = t**2 + t. Let r be l(-2). Let -8*v - 1/2*v**5 - 12*v**3 - 4*v**4 - 16*v**r + 0 = 0. Calculate v.
-2, 0
Let n(j) = -j**2 + 66*j - 59. Let z(g) = g**2 - g - 1. Let x(a) = -n(a) - 6*z(a). Factor x(r).
-5*(r - 1)*(r + 13)
Let y(f) = -f**2 + f. Let i(k) = -k**2 + 11*k - 10. Let o(j) = -i(j) - 4*y(j). Factor o(c).
5*(c - 2)*(c - 1)
Let t be 12/3 - (-24)/(-6). Let o(h) be the first derivative of 2/9*h**3 + t*h + 1 + 1/3*h**2. Solve o(j) = 0.
-1, 0
Let p = 9 + -19. Let c = -6 - p. Factor 0*o + 8/3*o**2 + 2/3*o**c - 8/3*o**3 + 0.
2*o**2*(o - 2)**2/3
Let j(q) = -q**2 + 1. Let o(k) = k**3 + 20*k**2 - 15*k - 4. Let u(i) = 6*j(i) + o(i). Let m be u(-15). Factor 1/3*b**m + 1/3 + 2/3*b.
(b + 1)**2/3
Let c(n) = n - 27. Let b be c(29). Suppose 4*f - 9 = f. Suppose -2/9*j**f - 2/9 + 2/9*j**b + 2/9*j = 0. Calculate j.
-1, 1
Let m(a) be the third derivative of 0 + 1/60*a**6 - 5*a**2 + 1/15*a**5 + 0*a + 0*a**3 + 0*a**4. Factor m(t).
2*t**2*(t + 2)
Let g(l) be the second derivative of 27*l**5/20 + 19*l**4/2 + 4*l**3 + 53*l. Factor g(z).
3*z*(z + 4)*(9*z + 2)
Let f(d) be the third derivative of -d**7/168 + d**6/96 + 3*d**5/16 + 55*d**4/96 + 5*d**3/6 + 32*d**2. Factor f(n).
-5*(n - 4)*(n + 1)**3/4
Let t(o) be the second derivative of -o**4/12 + o**3/6 + o**2 + 2*o. Solve t(i) = 0.
-1, 2
Factor -2/7*r**3 + 0 - 2/7*r + 4/7*r**2.
-2*r*(r - 1)**2/7
Let c = 2 - -1. Suppose -2*b + 18 = -0*b + c*u, 3*b = -2*u + 17. Factor 8/5*p + 0 + 8/5*p**2 + 2/5*p**b.
2*p*(p + 2)**2/5
Let c = -834 + 2503/3. Suppose 0 = k - 4*k. Suppose 0 - c*l - 1/3*l**5 + 2/3*l**3 + 0*l**2 + k*l**4 = 0. What is l?
-1, 0, 1
Let m(d) be the second derivative of d**4/84 + d**3/14 + d**2/7 + 8*d. Factor m(y).
(y + 1)*(y + 2)/7
Let k = -20 + 20. Let y(x) be the third derivative of 0 + k*x**5 + 0*x + 0*x**3 - 1/60*x**6 - 2*x**2 + 1/12*x**4. Find p, given that y(p) = 0.
-1, 0, 1
Let c be ((2/8)/(-1))/((-250)/4800). What is u in 128/5 + c*u**2 - 96/5*u - 2/5*u**3 = 0?
4
Let o(y) be the first derivative of 1 + 1/12*y**3 + 0*y + 1/8*y**2. Let o(a) = 0. Calculate a.
-1, 0
Suppose l - 1 = 0, -5*b + 1 = -2*l + 3. Factor -2*r**4 + b*r**2 - 1/2*r**3 + 0*r + 0.
-r**3*(4*r + 1)/2
Let g = 85/2 - 251/6. Let z(y) be the first derivative of -1 + 0*y**2 + g*y - 2/9*y**3. Let z(x) = 0. Calculate x.
-1, 1
Suppose -10 = -5*q - 0. Factor 2*o**q - 32*o + 32*o - 2*o**4.
-2*o**2*(o - 1)*(o + 1)
Factor -2*v**2 - 3/2*v + 0 + v**4 + 5/2*v**3.
v*(v - 1)*(v + 3)*(2*v + 1)/2
Let b(k) be the third derivative of k**9/272160 - k**8/45360 + k**7/22680 + k**5/60 - k**2. Let m(v) be the third derivative of b(v). Factor m(w).
2*w*(w - 1)**2/9
Let i(y) = -y**2 + 7*y - 10. Let o be i(4). Suppose 0*d + 3*d = -o*w - 2, -3*w - 12 = 0. Factor 0*z + 0 + 2/3*z**d.
2*z**2/3
Let b(j) = -3*j**3 + 27*j**2 - 78*j + 78. Let t(c) = c - 1. Let q(u) = -b(u) + 3*t(u). Factor q(s).
3*(s - 3)**3
Let q = -33 - -37. Let x(g) be the second derivative of -1/6*g**q + 1/3*g**3 + 0 + 3*g + 0*g**2. Factor x(p).
-2*p*(p - 1)
Let l(z) = z**2 + z + 1. Let s(y) = -30*y**2 + 15*y - 105. Let p(f) = -25*l(f) - s(f). Let p(i) = 0. Calculate i.
4
Let u be (1/((-2)/8))/(-1). Factor -3*z + 2 - 2*z - u - z**2 + 2*z.
-(z + 1)*(z + 2)
Let i = 1 - -3. Factor -u + 3*u**i + 3*u**5 - 2*u**5 - 2*u**2 - u**4.
u*(u - 1)*(u + 1)**3
Let h(w) be the first derivative of -4*w**3/3 + 4*w**2 - 4*w - 21. Factor h(l).
-4*(l - 1)**2
Let d be (100/(-24))/(-25)*0. Factor d*b + 0 + 1/2*b**3 + b**2.
b**2*(b + 2)/2
Suppose s - 1 = -5*d + 7*d, -1 = 4*d - s. Solve 1/2 - 1/2*n**2 + d*n = 0 for n.
-1, 1
Let 6*g**4 - g**5 + 12*g**3 + 5*g**5 + 20*g**2 - 12*g**2 - 3*g**5 = 0. What is g?
-2, 0
Let s(u) be the first derivative of -6*u**5/55 - 7*u**4/11 - 16*u**3/33 + 4. Let s(i) = 0. What is i?
-4, -2/3, 0
Suppose -t - 2*w + 17 = 0, -2*w = -2*t + 3*w - 11. Let o = t - 5. Factor -3 - o + 5 - 2*y**2.
-2*y**2
Factor 0 + 2/5*s**4 + 0*s - 2/5*s**3 - 2/5*s**2 + 2/5*s**5.
2*s**2*(s - 1)*(s + 1)**2/5
Let z(r) be the first derivative of 2*r**3/33 - 2*r**2/11 + 2*r/11 - 9. Determine q so that z(q) = 0.
1
Let r(y) be the third derivative of y**8/40320 + y**7/5040 + y**6/2160 - 5*y**4/24 - 8*y**2. Let x(d) be the second derivative of r(d). Solve x(v) = 0.
-2, -1, 0
Let d = 905/387 - -28/129. Let p = -7/3 + d. Factor p - 8/9*i - 8/9*i**3 + 4/3*i**2 + 2/9*i**4.
2*(i - 1)**4/9
Let g be 0/(-2*(-1)/(-2)). Suppose 3*c = -g*c. Factor -2/3*k**2 + 0 + c*k + k**3 - 1/3*k**4.
-k**2*(k - 2)*(k - 1)/3
Let x(h) be the first derivative of -2 - 1/60*h**5 - 2/3*h**3 - 3/2*h**2 - 1/6*h**4 + 0*h. Let b(o) be the second derivative of x(o). Factor b(c).
-(c + 2)**2
Let i(x) = x**2 + x. Let h(v) = -2*v**2 - 3*v. Let u(m) = -4*h(m) - 9*i(m). Let y(j) = j**2 + 1. Let p(n) = 2*u(n) + 4*y(n). Factor p(b).
2*(b + 1)*(b + 2)
Let c be 2/7 - 95/(-35). Let k(h) be the second derivative of -1/8*h**2 + 0 - h + 0*h**c + 1/48*h**4. Factor k(t).
(t - 1)*(t + 1)/4
Let m(k) be the first derivative of 