2/7*p**o = 0.
1
Determine b so that 3*b + 15*b**2 + 2*b + 2 - 11*b**2 + b**3 = 0.
-2, -1
Let h(a) be the third derivative of a**8/1344 + a**7/840 - a**6/80 + a**5/120 + 5*a**4/96 - a**3/8 - 12*a**2 - 2*a. Solve h(s) = 0.
-3, -1, 1
Let q = 3 - 3. Suppose q*d = -2*d + 12. Determine m, given that -m + m**3 + 3 + 1 + 2*m**2 - d = 0.
-2, -1, 1
Let v(n) = -6*n**2 + 6*n - 8. Let f(b) = -b**2 + b - 1. Let z = 18 + -26. Let s(c) = z*f(c) + v(c). Factor s(j).
2*j*(j - 1)
Let y be 9/4 + (-1)/4. Let i be (y/8)/(4/8). Factor 0*v**2 + 0 + i*v**3 - 1/2*v.
v*(v - 1)*(v + 1)/2
Let p(b) be the first derivative of b**4/6 + 4*b**3/9 - b**2/3 - 4*b/3 - 12. Suppose p(j) = 0. What is j?
-2, -1, 1
Let t(n) be the second derivative of n**5/4 + 5*n**4/6 - 5*n**3/6 - 5*n**2 + 36*n. Let t(c) = 0. Calculate c.
-2, -1, 1
Let n(i) = -i - 4. Let o be n(-4). Suppose -4*d + d**2 - d**2 + d**2 + o*d**2 + 4 = 0. Calculate d.
2
Let w be (-1)/(-3) + 1 + -1. Let p(o) be the first derivative of -1 - o + 1/2*o**2 + w*o**3 - 1/4*o**4. Factor p(z).
-(z - 1)**2*(z + 1)
Let o = 7 - 1. Let w be o/4*(9 + -7). Suppose 4*y**2 - w*y**2 - 9*y**3 + 2*y**2 = 0. What is y?
0, 1/3
Let p(w) be the first derivative of -w**6/4 - 9*w**5/10 + 2*w**3 - 5. Factor p(k).
-3*k**2*(k - 1)*(k + 2)**2/2
Let l(o) = 17*o**2 + 13*o - 4. Let h(w) = -84*w**2 - 64*w + 20. Let g(n) = 3*h(n) + 16*l(n). Factor g(c).
4*(c + 1)*(5*c - 1)
Let g = 4/21 - -1/7. Let d(t) be the first derivative of 2*t - 3/2*t**2 - 1 + g*t**3. Suppose d(s) = 0. Calculate s.
1, 2
Suppose -5*z - 3*v - 12 = 0, 2*z - 3*v + 0 - 12 = 0. Suppose 3*l - 2 - 4 = z. Determine y so that -7*y**l + 0*y + 3*y - 7*y**2 + y = 0.
0, 2/7
Let b(h) be the second derivative of h**8/560 + 3*h**7/350 + h**6/100 + h**2 - 5*h. Let c(y) be the first derivative of b(y). Find n such that c(n) = 0.
-2, -1, 0
Let k(z) = 4*z**3 + 6*z**2 + 4*z + 4. Let o(b) = 8*b**3 + 13*b**2 + 9*b + 9. Let i(n) = -9*k(n) + 4*o(n). What is x in i(x) = 0?
-1/2, 0
Let z be (260/78)/((-4)/(-3)). Factor 1/4*q**5 + z*q**3 + 5/4*q - 5/4*q**4 - 5/2*q**2 - 1/4.
(q - 1)**5/4
Factor 1/8 - 1/8*a + 1/8*a**3 - 1/8*a**2.
(a - 1)**2*(a + 1)/8
Suppose 0 = 2*r + 5*a - 2 - 3, 4*r + 2 = 2*a. Suppose x - 1 + r = 0. Determine i so that 5*i**2 - 6*i**2 + 7 + x + 3*i**2 + 8*i = 0.
-2
Let f(b) be the second derivative of -b**4/78 - 2*b**3/13 - 5*b**2/13 - 24*b. Factor f(s).
-2*(s + 1)*(s + 5)/13
Let c(x) be the second derivative of -2*x**6/15 + 2*x**5/5 - 4*x**3/3 + 2*x**2 - 21*x. Factor c(y).
-4*(y - 1)**3*(y + 1)
Let q(v) be the second derivative of -v**5/20 + 3*v**4/4 - 9*v**3/2 - 7*v**2/2 - 4*v. Let p(s) be the first derivative of q(s). Factor p(h).
-3*(h - 3)**2
Suppose 6*f + 12 = 9*f. Find u such that 0*u + 0*u**2 + 0 - 4/9*u**f - 2/9*u**3 - 2/9*u**5 = 0.
-1, 0
Suppose m - 3*m - 60 = l, -2*l = -4*m + 104. Let p be l/24 + -1 + 4. Suppose 2/3*q - 4/3*q**2 + p*q**3 + 0 = 0. What is q?
0, 1
Let w be (28/(-12) - -2)*-6. Suppose -3*s + 2*p + w = 0, -1 = -2*p + 3*p. What is m in -1/3*m**5 - 1/3*m**3 - 2/3*m**4 + s + 0*m**2 + 0*m = 0?
-1, 0
Let h(k) be the third derivative of -k**7/2940 - k**6/630 - k**5/420 + k**3 + k**2. Let u(v) be the first derivative of h(v). Factor u(m).
-2*m*(m + 1)**2/7
Suppose -3*l = -5*l + 8. Factor -2*v**2 + 0*v**2 + l*v**3 - 2*v**4 + 0*v**4.
-2*v**2*(v - 1)**2
Factor 0*w**2 - 2 - w**2 + 2*w + 1.
-(w - 1)**2
What is s in 53*s**2 - s**3 + 4*s + 60*s**2 + 4 - 114*s**2 = 0?
-2, -1, 2
Let v(y) be the third derivative of -y**8/2856 + y**7/595 - y**6/510 - y**5/255 + y**4/68 - y**3/51 + 9*y**2. Let v(q) = 0. What is q?
-1, 1
Let u(o) be the third derivative of 8*o**7/105 - 2*o**6/5 - o**5 - 2*o**4/3 + 20*o**2. Let u(g) = 0. What is g?
-1/2, 0, 4
Let h be (-12)/(-4)*(0 + 2). Let y(w) = -2*w**4 + 15*w**3 + 7*w - 9. Let f(o) = -o**4 + 8*o**3 + 4*o - 5. Let v(g) = h*y(g) - 11*f(g). Solve v(x) = 0 for x.
-1, 1
Let l = 35 - 35. Let b(y) be the third derivative of 0*y**7 + 1/48*y**4 + 0*y + l + 0*y**3 - 1/120*y**6 + 0*y**5 + 1/672*y**8 + 2*y**2. Factor b(m).
m*(m - 1)**2*(m + 1)**2/2
Let q(v) be the second derivative of v**6/6 - v**5/4 - 5*v**4/12 + 5*v**3/6 + 2*v. Factor q(y).
5*y*(y - 1)**2*(y + 1)
Let l(n) be the third derivative of n**5/90 + n**4/36 - 2*n**3/9 + 5*n**2. Factor l(o).
2*(o - 1)*(o + 2)/3
Let b = -73 + 155/2. Let u(m) = -m**2 + 2*m + 3. Let h be u(3). What is o in h - 3/2*o - 9/2*o**3 + b*o**2 + 3/2*o**4 = 0?
0, 1
Let d(p) be the third derivative of p**7/840 - p**6/360 + p**5/360 - p**4/12 - 2*p**2. Let y(q) be the second derivative of d(q). Factor y(g).
(3*g - 1)**2/3
Suppose 13 = n - 5*n + 5*q, 5*n = 5*q - 10. Let r be (-2)/n*18/(-42). Solve -r*p**2 + 4/7*p - 2/7 = 0 for p.
1
Suppose 60 = 3*v + 7*v. Let g(r) be the first derivative of -7/2*r**4 + 0*r + 2 - 2*r**2 + v*r**3. Factor g(w).
-2*w*(w - 1)*(7*w - 2)
Let r = 13 - 5. Factor r*v + 14*v**2 - v - 3*v.
2*v*(7*v + 2)
Factor 9 - 32*h**2 + 12*h**3 + 27 - 63*h**3 - 13*h**3 + 60*h.
-4*(h - 1)*(4*h + 3)**2
Let o(z) be the third derivative of 0*z**7 + 1/60*z**6 + 0*z - 1/336*z**8 + z**2 + 0 - 1/24*z**4 + 0*z**5 + 0*z**3. Find u such that o(u) = 0.
-1, 0, 1
Let f(z) be the third derivative of 1/42*z**4 + 0 - 1/105*z**5 + 6*z**2 + 1/840*z**6 + 0*z + 0*z**3. Factor f(i).
i*(i - 2)**2/7
Let g = -34 - -24. Let t = 14 + g. Determine x, given that 0*x + 2*x + 3*x**2 - t*x**2 = 0.
0, 2
Factor 13*q - 108*q**3 + 3*q + 4*q**2 - 4*q**4 + 92*q**3.
-4*q*(q - 1)*(q + 1)*(q + 4)
Let n(s) be the first derivative of -4*s**3/3 + 4*s**2 - 9. Determine u, given that n(u) = 0.
0, 2
Let w(z) be the first derivative of -z**6/600 + z**4/120 - 5*z**2/2 - 2. Let k(m) be the second derivative of w(m). Factor k(x).
-x*(x - 1)*(x + 1)/5
What is u in -7*u**3 - 49/3*u**4 + 0 - 4/3*u + 8*u**2 = 0?
-1, 0, 2/7
Let b(q) = q**4 + 7*q**3 + 36*q**2 - 41*q + 18. Let p(a) = a**4 + 4*a**3 + 18*a**2 - 20*a + 9. Let t(k) = 4*b(k) - 7*p(k). Factor t(f).
-3*(f - 1)**3*(f + 3)
Let j(y) = -3*y + 1. Suppose x - 2 = q + 3, -q - 13 = -3*x. Let r be j(q). Factor -13/3*g**r - 2/3*g + 5/3*g**5 + 0 + 3*g**3 + 1/3*g**2.
g*(g - 1)**3*(5*g + 2)/3
Let v(s) be the second derivative of -s**4/24 - 4*s. Factor v(a).
-a**2/2
Suppose 0*v = -3*v + 9. Let z = -3 + v. Suppose z*f**2 + 0 + 4/5*f**3 + 0*f + 2/5*f**4 = 0. Calculate f.
-2, 0
Let b(m) be the second derivative of -m**7/1764 + m**6/360 - m**5/210 + m**4/12 + 7*m. Let u(p) be the third derivative of b(p). Determine n so that u(n) = 0.
2/5, 1
Let g(b) be the first derivative of 0*b**3 - b**2 - 1/120*b**6 + 1 + 0*b**4 + 1/60*b**5 + 0*b. Let v(j) be the second derivative of g(j). Factor v(p).
-p**2*(p - 1)
Let d(w) be the third derivative of 7*w**8/24 - 4*w**7/15 - 3*w**6/4 + 14*w**5/15 - w**4/3 + 7*w**2. Solve d(v) = 0 for v.
-1, 0, 2/7, 1
Let g(p) = -p**3 - 2*p**2 + 2. Let b be g(-2). Suppose b = -2*s, -3*r + 2*r + 2 = 4*s. Solve -r*d + 10/3*d**2 + 6*d**3 - 14/3*d**4 + 4/3 = 0.
-1, 2/7, 1
Let j(k) be the first derivative of 25*k**4/18 + 190*k**3/27 + 64*k**2/9 + 8*k/3 - 2. Suppose j(u) = 0. Calculate u.
-3, -2/5
Let f = 13 - 15. Let n = f + 4. Factor 0 - 2/5*d**n + 0*d.
-2*d**2/5
Suppose -3*n = -0*n + 3*s, -3*n + 18 = -3*s. Suppose 0 = -f + n. Factor -2/5 - 2/5*z**4 + 2/5*z + 2/5*z**5 - 4/5*z**f + 4/5*z**2.
2*(z - 1)**3*(z + 1)**2/5
Let u(v) be the second derivative of 9*v**5/80 + 11*v**4/48 - 2*v**3/3 - v**2/2 + 43*v. Factor u(z).
(z - 1)*(z + 2)*(9*z + 2)/4
Determine v so that -11/4*v + 3/2*v**2 + 3/2 - 1/4*v**3 = 0.
1, 2, 3
Let w(a) be the second derivative of a**4/36 + a**3/18 - 38*a. Factor w(s).
s*(s + 1)/3
Let c(f) = -18*f**3 - 19*f**2 - f + 5. Let d(q) = 27*q**3 + 29*q**2 + 2*q - 7. Let t = 14 + -9. Let r(b) = t*d(b) + 7*c(b). Factor r(y).
3*y*(y + 1)*(3*y + 1)
Let h(g) be the third derivative of 0*g**4 + 0 + 1/90*g**5 + 0*g - 1/9*g**3 - 3*g**2. Factor h(w).
2*(w - 1)*(w + 1)/3
Let p(v) be the second derivative of -v**7/12600 - v**6/3600 - v**4/3 - 6*v. Let n(g) be the third derivative of p(g). Factor n(i).
-i*(i + 1)/5
Let g(h) = -h**3 + 4*h**2 + h - 1. Let m(d) = -1. Let i(u) = 2*g(u) + 6*m(u). Find w such that i(w) = 0.
-1, 1, 4
Let t(x) = 2*x**3 - 3*x**2 - 3*x. Let d(n) be the second derivative of -n**5/4 + 2*n**4/3 + 4*n**3/3 - 2*n. Let y(v) = 3*d(v) + 8*t(v). What is f in y(f) = 0?
0
Let b(a) = 5*a**4 + a**3 - 4*a. Let m(o) = 