y**2 - 2*y**z = 0. Calculate y.
-1, 0
Let i(y) be the second derivative of y**4/48 - y**3/24 - 3*y**2/4 - 22*y. Factor i(l).
(l - 3)*(l + 2)/4
Factor 9/2*m**2 + 9*m**4 + 3/4*m + 0 + 3*m**5 + 39/4*m**3.
3*m*(m + 1)**2*(2*m + 1)**2/4
Let j(n) be the third derivative of n**8/1008 - n**6/180 + n**4/72 + 16*n**2. Let j(l) = 0. What is l?
-1, 0, 1
Suppose 10*t + 24 = 44. Determine u, given that 1/2*u**3 + 0 + 1/2*u**t - u = 0.
-2, 0, 1
Let k(b) be the first derivative of -4*b**5/5 + 8*b**4 - 64*b**3/3 - 23. Find p such that k(p) = 0.
0, 4
Let u be (-5)/(10/4) + 6. Suppose u*j = 25 - 5. Find o such that 2*o - 2*o**4 + 3*o**5 - 2*o**4 - j*o**5 + 4*o**2 = 0.
-1, 0, 1
Let c be ((-5)/2)/(1/(-2)). Let g(q) be the first derivative of 0*q + 0*q**2 - 2/3*q**3 + 2/5*q**c - 1 + 0*q**4. Factor g(o).
2*o**2*(o - 1)*(o + 1)
Let o(a) = -4*a**2 + 13*a + 8. Suppose m + 5*l = 3 - 1, -2*l = 2. Let k(v) = -4*v**2 + 14*v + 9. Let r(w) = m*o(w) - 6*k(w). Factor r(z).
-(z - 2)*(4*z + 1)
Let v(z) be the third derivative of z**6/200 + z**5/100 - z**4/20 + 6*z**2. Factor v(f).
3*f*(f - 1)*(f + 2)/5
Suppose 2*y = -3 + 7. Let -3*h + 36*h**y + 3 - 3*h - 15*h = 0. What is h?
1/4, 1/3
Suppose -2*a + 10 = -5*t, 0 = -6*a + 2*a - 2*t - 4. Let i be 4 + ((-60)/16 - a). Factor -i*z + 0 - 1/4*z**2.
-z*(z + 1)/4
Suppose 3*b = -15*b. What is x in b - 1/2*x - 1/2*x**2 = 0?
-1, 0
Suppose 0*q - q + 2 = 0. Find z, given that 0 - 2/5*z**3 - 2/5*z + 4/5*z**q = 0.
0, 1
Let t be ((-3)/(-4))/(3/(-12)). Let i be 2 + t - (-10)/8. Factor -i*c**2 + 0 + 1/2*c**3 + 0*c - 1/4*c**4.
-c**2*(c - 1)**2/4
Let o be 3/(-18) - 39/(-18). Let x(u) = 14*u + 1. Let g be x(1). Solve -g*n - 3*n**o + 14*n + 2*n**2 = 0 for n.
-1, 0
Let y be (0/(-1) - -1)*(-28 + 32). Factor 0 + 2/3*c**5 + 8/3*c**2 + 8/3*c**y + 4*c**3 + 2/3*c.
2*c*(c + 1)**4/3
Let c(l) be the third derivative of 0*l**3 + 1/36*l**4 + 0 - 1/45*l**5 + 0*l + 1/180*l**6 + 7*l**2. Solve c(p) = 0 for p.
0, 1
Let l be (-4 + 0)/(-4) - -2. Factor -2/3*b**l + 2/3*b + 0 - 2/3*b**4 + 2/3*b**2.
-2*b*(b - 1)*(b + 1)**2/3
Let r(z) = -3*z - 54. Let d be r(-18). Factor d*h + 0 - 1/2*h**3 + 0*h**2.
-h**3/2
Suppose 0 = -16*m + 13*m. Determine d, given that m*d**2 + 0 - 2/5*d**3 + 2/5*d = 0.
-1, 0, 1
Suppose 21/5*c**2 - 1/5*c**4 - c**3 + 8/5 - 23/5*c = 0. What is c?
-8, 1
Suppose 0 = -2*k + k + 3. Solve 3*r**2 + 29*r**k - 56*r**4 + 6 + 59*r**4 + 24*r**2 + 21*r - 14*r**3 = 0.
-2, -1
Let y be 1/(-2)*(-1)/(-3)*-2. Determine d, given that 2/3*d + 1/3 + y*d**2 = 0.
-1
Suppose 44*y - 36*y - 32 = 0. Let t(f) be the first derivative of 1/4*f**y + 0*f**3 - 1/2*f**2 + 0*f + 2. Solve t(s) = 0.
-1, 0, 1
Let d(m) be the first derivative of m**4 - 4*m**3 + 9*m**2/2 - 2*m - 1. Factor d(x).
(x - 2)*(2*x - 1)**2
Let k(w) = -w**3 + w + 5. Let t be k(0). Suppose t*a - 3*y + 4*y - 1 = 0, -3*a = -2*y + 2. Factor -1/4*h - 1/4*h**2 + a.
-h*(h + 1)/4
Let q(b) be the second derivative of -b**8/840 - b**7/420 + b**3/3 - 2*b. Let j(x) be the second derivative of q(x). Solve j(o) = 0.
-1, 0
Let y(t) = -4*t**3 - 2*t. Let u(s) = 21*s**3 + 11*s. Let a(q) = -4*u(q) - 22*y(q). Factor a(v).
4*v**3
Let g(t) = 4*t**5 - 3*t**3 + 2*t**2 - 3*t - 4. Let c(q) = -4*q**5 + q**4 + 3*q**3 - 2*q**2 + 2*q + 3. Let m(s) = -4*c(s) - 3*g(s). Find v, given that m(v) = 0.
-1/2, 0, 1
Suppose 83*p - 65*p = 0. Factor 3/5*h + 3/5*h**3 - 72/5*h**4 + 48/5*h**5 + 18/5*h**2 + p.
3*h*(h - 1)**2*(4*h + 1)**2/5
Let v(m) = -2*m**3 + 6*m**2 + 9*m + 8. Let p(u) = 3*u**3 - 6*u**2 - 8*u - 8. Let i(w) = 3*p(w) + 4*v(w). Solve i(q) = 0.
-2
What is s in 6*s**3 + 4*s**2 + 280*s**4 + s**5 + 2*s - 276*s**4 - s = 0?
-1, 0
Let b(t) be the third derivative of -t**8/42 - 3*t**7/35 - t**6/10 - t**5/30 - 11*t**2. Let b(z) = 0. Calculate z.
-1, -1/4, 0
Let m(n) be the third derivative of n**8/10080 - n**6/360 + n**5/60 - 3*n**2. Let k(h) be the third derivative of m(h). Find d such that k(d) = 0.
-1, 1
Let f(c) be the first derivative of 6*c + 4 + 9/2*c**2 + c**3. Let f(b) = 0. What is b?
-2, -1
Let a = 647 + -3208/5. Find q, given that a + 3/5*q**2 - 18/5*q = 0.
3
Let r(k) be the first derivative of -k**4/18 - 4*k**3/27 + k**2/3 + 4. Suppose r(h) = 0. Calculate h.
-3, 0, 1
Suppose -90*k - 25 = -95*k. Let x(c) be the first derivative of 1/6*c**2 + 1 + 0*c**k + 0*c + 0*c**3 + 1/18*c**6 - 1/6*c**4. Find v such that x(v) = 0.
-1, 0, 1
Let c(m) be the third derivative of -1/735*m**7 + 0*m - 3*m**2 - 1/210*m**6 + 0*m**3 + 0 - 1/210*m**5 + 0*m**4. Factor c(k).
-2*k**2*(k + 1)**2/7
Factor 3*x**2 - 549 + 120*x + x**2 + 1449.
4*(x + 15)**2
Let y = 2285/252 + -316/35. Let s(c) be the third derivative of 0 + 1/9*c**3 - 5/72*c**4 - y*c**5 + 0*c + c**2. Factor s(k).
-(k + 1)*(7*k - 2)/3
Let f(k) be the first derivative of 4/3*k**3 + 0*k + 0*k**2 - 2 - 6*k**4 + 9*k**5 - 25/6*k**6. Solve f(b) = 0 for b.
0, 2/5, 1
Suppose 2*y + y - 6 = 0. Let a be (-6 - (-5 - -2))*-2. Suppose -y*u**2 - 2 - a*u + 4 - 3 - 3 = 0. Calculate u.
-2, -1
Suppose -f = 0, 0*f = 2*x + f. Suppose 4/7*w**3 - 2/7*w + x + 0*w**4 + 0*w**2 - 2/7*w**5 = 0. What is w?
-1, 0, 1
Let w = -613/1025 + 18/25. Let s = 47/287 + w. Factor 0 + 6/7*u**4 + 6/7*u**3 + 2/7*u**5 + 0*u + s*u**2.
2*u**2*(u + 1)**3/7
Let o = -1077 + 2253/2. Let q = -49 + o. Factor 1/2*c**4 - c**3 + 0*c + 0 + q*c**2.
c**2*(c - 1)**2/2
Let p be 3 + -1 + 2 + -2. Let b = p + 1. Factor -x + x - x**b - 4*x**5 + 5*x**5.
x**3*(x - 1)*(x + 1)
Let q(j) = 12*j**2 + 28*j + 16. Suppose 6*i - i = -40. Let f(p) = -8*p**2 - 19*p - 11. Let v(s) = i*f(s) - 5*q(s). Factor v(c).
4*(c + 1)*(c + 2)
Let j(t) = -t**3 + t**2 - 2. Let k be j(0). Let r be (k + 22/8)*4. Solve -d**r + 0*d**2 + 0*d**3 - d**2 = 0.
-1, 0
Factor -w**2 - 4 - 5*w - 5*w**2 - 5*w.
-2*(w + 1)*(3*w + 2)
Let c(g) be the first derivative of -4*g**3/3 - 4*g**2 + 5. Factor c(n).
-4*n*(n + 2)
Let u(l) = l**2 + l + 1. Let a(f) = -3*f**2 - 7*f - 5. Let p(q) = a(q) + 5*u(q). Solve p(t) = 0.
0, 1
Suppose 3*s = 2*d - 14, -d + 7*s = 2*s - 14. Suppose 2*y = -d*p - 14, 5*y - 3*p = 2*y + 24. Factor y*m**3 + m - 3*m**2 - m + m - m**4.
-m*(m - 1)**3
Let p(j) be the third derivative of j**7/420 + j**6/60 + j**5/60 - j**4/12 - j**3/4 - 3*j**2. Determine t so that p(t) = 0.
-3, -1, 1
Find d, given that 2/13*d**2 - 6/13*d - 4/13 + 6/13*d**3 + 2/13*d**4 = 0.
-2, -1, 1
Let p(k) be the first derivative of 1/4*k**2 + 0*k**4 + 1 - 1/12*k**6 + 1/5*k**5 - 1/3*k**3 + 0*k. Let p(h) = 0. What is h?
-1, 0, 1
Let z(l) be the second derivative of l**6/15 - l**5/10 - l**4/2 + 5*l**3/3 - 2*l**2 - 4*l. Factor z(j).
2*(j - 1)**3*(j + 2)
Let s(b) = -7*b**5 + 4*b**4 + 19*b**3 + 8*b**2 + 4*b - 4. Let t(c) = -c**5 - c**4 + c**3 + c**2 + c - 1. Let w(d) = -5*s(d) + 20*t(d). Solve w(x) = 0.
-1, -1/3, 0, 4
Let g be -1 - 0 - (-305)/(-3). Let l = 104 + g. Suppose -l*d**3 + 10/9*d**2 - 2/9 + 4/9*d = 0. What is d?
-1/2, 1/3, 1
Suppose 3*y + 2 = 8. Let 3*p**5 - 2*p**4 - 4*p**3 + 4*p**y + 5*p**5 + 2*p - 6*p**5 - 2 = 0. Calculate p.
-1, 1
Let v(n) be the second derivative of -2*n - 3/20*n**5 + 0*n**4 + 0 + 3/2*n**3 + 3*n**2. Let v(q) = 0. Calculate q.
-1, 2
Let t(l) be the second derivative of l**5/110 - l**3/33 + 6*l. Factor t(q).
2*q*(q - 1)*(q + 1)/11
Let m(j) = 83*j**3 + 179*j**2 + 128*j + 43. Let i(q) = 42*q**3 + 90*q**2 + 64*q + 22. Let p(y) = 11*i(y) - 6*m(y). Factor p(r).
-4*(r + 1)*(3*r + 2)**2
Let u(d) = 4*d + 9. Let j be u(-9). Let f = j - -82/3. Factor 2/3*t + f + 1/3*t**2.
(t + 1)**2/3
Let d(n) be the second derivative of n**5/100 - n**4/20 + n**3/10 - n**2/10 - 12*n. Determine b so that d(b) = 0.
1
Let b = 4 + -3. Let d = b - 1/3. What is o in -d*o - 4*o**3 + 0 - 3*o**2 - 4/3*o**4 = 0?
-2, -1/2, 0
Suppose 2*o = 3*o + 2. Let n be 2 + o - 24/(-18). Let -2/3 - 2/3*v**5 - n*v**2 - 4/3*v**3 + 2*v + 2*v**4 = 0. What is v?
-1, 1
Let h be 5 + -6 + 3/(6/8). Factor 0 + 0*p**2 + 2/5*p**h - 2/5*p.
2*p*(p - 1)*(p + 1)/5
Suppose a - 1 = -4*x, 2*x - 1 = -3*x - a. Determine y, given that x*y**2 + 0 + 1/4*y**4 + 0*y**3 + 0*y = 0.
0
Suppose 2*h + 3*h - 20 = 0. Let -v**2 + 14*v - 8*v + h*v**2 = 0. What is v?
-2, 0
Let x(i) be the second derivative of i**7/63 - 4*i**6/45 + i**5/5 - 2*i**4/9 + i**3/9 - 15*i. Determine m so that x(m) = 0.
0, 1
Suppose -5/3*n**3 + 1/3*n**4 + 0 - 4/3*n + 8/3*n**2 = 0. What is n?
0, 1, 2
Let k(o) be the third derivati