 = 0. What is z?
-1, 1
Let f(c) be the first derivative of c**6/30 - c**5/5 + 8*c**3/3 + c**2 - 3. Let k(m) be the second derivative of f(m). Solve k(v) = 0 for v.
-1, 2
Let f be 3/(((-2)/(-2))/(9 + -8)). Let x(a) be the third derivative of 1/6*a**4 + 1/20*a**5 + 2/9*a**f + 0 + 0*a - 2*a**2. Factor x(m).
(3*m + 2)**2/3
Suppose 5*r - 3*r - 8 = 0. Let n(s) be the first derivative of 1/12*s**r + 0*s + 1/9*s**6 + 0*s**3 + 0*s**2 - 2 - 1/5*s**5. Suppose n(d) = 0. Calculate d.
0, 1/2, 1
Factor 1/2*x**2 - 1/4*x**3 + 0*x + 0.
-x**2*(x - 2)/4
Let i(c) be the first derivative of 0*c - 1/10*c**2 - 1/15*c**3 - 7. Factor i(f).
-f*(f + 1)/5
Let o = -16 + 20. Let x(p) be the second derivative of 0 + 0*p**o - 1/10*p**5 - 3*p + 0*p**2 + 0*p**3. Find h such that x(h) = 0.
0
Suppose -5*s - 10 = -2*t, -t + 0*t = 3*s - 5. Factor s - 1/4*a**2 - 1/2*a + 1/4*a**3.
a*(a - 2)*(a + 1)/4
Determine l, given that 16/13*l**2 + 34/13*l + 4/13 = 0.
-2, -1/8
Suppose 11 = m + 9. Factor 4/5*y + 2/5*y**m + 2/5.
2*(y + 1)**2/5
Suppose -8 = k - 3*k. Suppose 0 = -0*c - 2*c + k. Factor 2 - c*w**2 + 0 + w**2 + w.
-(w - 2)*(w + 1)
Let v(a) be the second derivative of -a**7/840 - a**6/360 + 4*a**3/3 + 4*a. Let r(t) be the second derivative of v(t). Find m, given that r(m) = 0.
-1, 0
Let r = -2230/11 - -203. Let c(x) be the first derivative of -2 - r*x**2 - 2/11*x - 2/11*x**3 - 1/22*x**4. Factor c(j).
-2*(j + 1)**3/11
Let k(i) = -162*i**2 + 72*i - 13. Let b(n) = -81*n**2 + 36*n - 6. Let v be 4/6 - (-344)/24. Let t(r) = v*b(r) - 6*k(r). Factor t(y).
-3*(9*y - 2)**2
Let s(m) be the first derivative of -m**5/60 + m**3/6 - 7*m**2/2 + 1. Let x(y) be the second derivative of s(y). Factor x(u).
-(u - 1)*(u + 1)
Let g(k) be the second derivative of k**6/240 - k**5/60 - k**4/48 + k**3/6 - k**2/2 + k. Let m(y) be the first derivative of g(y). Factor m(j).
(j - 2)*(j - 1)*(j + 1)/2
Let d be -2 + (-2 - 2686/(-18)). Let y = d + -145. Let y*f**2 - 2/9*f**3 + 0*f + 0 = 0. What is f?
0, 1
Suppose -3 = -2*c - 5. Let q be (1 - 0)*c/(-3). Determine g, given that -2/3*g**3 - 1/3 + q*g + 2/3*g**2 + 1/3*g**5 - 1/3*g**4 = 0.
-1, 1
Let z = 9 - 5. Let r be z/(-6) + (-90)/(-81). Factor 2/9*k**3 + r - 2/9*k + 2/9*k**4 - 2/3*k**2.
2*(k - 1)**2*(k + 1)*(k + 2)/9
Let m(p) be the second derivative of 1/3*p**3 + 1/12*p**4 + 0 + 1/2*p**2 + 4*p. Let m(q) = 0. Calculate q.
-1
Let z(b) be the first derivative of -2/3*b**6 + 0*b**2 + 0*b + 1/3*b**3 - 3 - 1/2*b**4 - 7/5*b**5. Factor z(k).
-k**2*(k + 1)**2*(4*k - 1)
Let m = 176 + -1757/10. Let z(h) be the first derivative of -4 - h**3 + 9/20*h**4 + m*h**2 + 3/5*h. Determine y, given that z(y) = 0.
-1/3, 1
Let o(d) be the third derivative of 0 + 1/132*d**4 + 0*d + 0*d**3 + d**2 + 1/165*d**5. Determine v so that o(v) = 0.
-1/2, 0
Suppose 0*q - 3*q = -3*h - 3, -5*q + 5 = 0. Let z = 2 - h. Factor 0 + 4/3*l**4 + 0*l**z - 2/3*l**5 + 0*l - 2/3*l**3.
-2*l**3*(l - 1)**2/3
Suppose -4*a - k = -11, -18 = -2*a - 5*k + 1. Suppose 2*w**4 + 8*w**a - 4*w + 1 - 9*w**5 + 2*w**5 + 21*w**3 - 1 = 0. What is w?
-1, 0, 2/7, 2
Solve -6/11 + 26/11*g - 8/11*g**2 = 0 for g.
1/4, 3
Let f = -139/3 - -47. Determine g, given that f*g**2 + 2/3 - 4/3*g = 0.
1
Let v = 320 - 318. Factor -2/3*k**4 - 8/3*k**3 - 4/3*k + 0 - 10/3*k**v.
-2*k*(k + 1)**2*(k + 2)/3
Let f be 4/6 + 10/3. Factor g**4 - g**2 - 4*g**f + 2*g**4 + 2*g**2.
-g**2*(g - 1)*(g + 1)
Factor 9*d**2 - 5*d**3 - 2*d**2 + 6*d**2 - 3*d**2.
-5*d**2*(d - 2)
Factor -19*m**2 - 3 - 14*m**2 - 3*m**3 + 36*m**2 + 3*m.
-3*(m - 1)**2*(m + 1)
Let m(u) = -u**2 + 35*u - 94. Let r be m(32). What is z in 4/7*z**r + 0*z + 0 + 2/7*z**3 = 0?
-2, 0
Let l(t) = 6*t**2 + 16*t + 21. Let c(d) = 6*d**2 + 16*d + 21. Let s(u) = 3*c(u) - 2*l(u). Let i(w) = w**2 + 3*w + 4. Let p(q) = -22*i(q) + 4*s(q). Factor p(h).
2*(h - 2)*(h + 1)
Factor -8/7*m - 4/21*m**3 + 8/21 + 6/7*m**2.
-2*(m - 2)**2*(2*m - 1)/21
Suppose 2 - 16 = -g + 3*z, -4*g = z + 9. Let p be 2*-1 + 2 - g. Solve -n + 0*n - 1 + n**2 - p = 0.
-1, 2
Let j(i) = -10*i + 50. Let o be j(5). Let k(r) be the first derivative of -2/3*r**3 + 3 + o*r - r**2. Suppose k(q) = 0. Calculate q.
-1, 0
Let w(v) be the third derivative of 1/60*v**5 + 1/8*v**4 + 0*v + v**2 + 1/3*v**3 + 0. Factor w(z).
(z + 1)*(z + 2)
Let x(y) be the first derivative of y**6/6 - y**5 + 9*y**4/4 - 7*y**3/3 + y**2 - 2. Solve x(w) = 0.
0, 1, 2
Let m = 1 - -3. Factor -m*l**4 + 4*l**2 - 2*l**5 - l**5 + 5*l**5 - 2*l + 0*l**5.
2*l*(l - 1)**3*(l + 1)
Let u(m) be the second derivative of 0 + m + 1/5*m**2 + 3/10*m**3 + 7/60*m**4. Let u(o) = 0. What is o?
-1, -2/7
Let i(u) be the first derivative of u**5/10 - 5*u**4/24 - u**3/18 + 5*u**2/12 - u/3 - 5. Solve i(j) = 0.
-1, 2/3, 1
Let y(v) be the second derivative of v**6/15 - v**5/10 - 2*v**4/3 + 4*v**3/3 - 46*v. Solve y(s) = 0 for s.
-2, 0, 1, 2
Suppose 49 = 2*y + 17. Let x(w) = -7*w**2 + w + 3. Let f be (-3)/(-6) + (-9)/(-2). Let g(a) = 22*a**2 - 4*a - 10. Let c(o) = f*g(o) + y*x(o). Factor c(q).
-2*(q + 1)**2
Let i(t) be the second derivative of t**8/840 + 4*t**7/525 + t**6/60 + t**5/75 + 7*t**2/2 - 5*t. Let m(u) be the first derivative of i(u). Factor m(y).
2*y**2*(y + 1)**2*(y + 2)/5
Let f = 1435 - 7173/5. Factor 0 - f*c**3 + 8/5*c + 0*c**2.
-2*c*(c - 2)*(c + 2)/5
Suppose 31*k = 10*k + 63. Let 0 + 1/2*n + 0*n**2 - 1/2*n**k = 0. Calculate n.
-1, 0, 1
Suppose s = 3 - 1. Determine j, given that 4*j - 3*j + j + j**s = 0.
-2, 0
Let t = 665 + -663. Factor -1/2*p**t + 3/2 + p.
-(p - 3)*(p + 1)/2
Let k = 62 + -62. Let q(x) be the third derivative of -1/120*x**4 - 1/200*x**6 + 0*x**3 - 1/100*x**5 - 2*x**2 + k + 0*x - 1/1050*x**7. Let q(j) = 0. What is j?
-1, 0
Let p be (-1344)/60 + 2/5. Let b be 4/p + (-48)/(-22). Let 1/2 + 0*k - 1/2*k**b = 0. What is k?
-1, 1
Let f be (-398)/(-80) + -2 + -3. Let p = f - -83/120. Let 0 + 2/3*r**3 + 2/3*r**2 - p*r**4 + 0*r - 2/3*r**5 = 0. Calculate r.
-1, 0, 1
Factor 2/7*s**3 + 0*s**2 + 0*s + 4/7*s**4 + 2/7*s**5 + 0.
2*s**3*(s + 1)**2/7
Let q = -13/6 + 43/18. Let g be 0/((2 - 3)*2). Determine k, given that g - q*k + 2/3*k**2 = 0.
0, 1/3
Let j be (-154)/(-392) - (-2)/(-14). Let f = 4 - 2. Factor j*q**f - 1/2 - 1/4*q.
(q - 2)*(q + 1)/4
Let c(l) = -10*l**2 + 36*l**2 + 2 - 22*l + 16 + 70*l. Let x(j) = j**3 + 26*j**2 + 48*j + 18. Let d(h) = -3*c(h) + 4*x(h). Suppose d(f) = 0. Calculate f.
-3, -1/2
Let b(x) be the third derivative of 0*x**5 + 0*x**4 + 1/40*x**6 + 0 + 0*x**3 + 4*x**2 + 0*x. Factor b(q).
3*q**3
Let p be (1/(-9))/((-90)/27). Let r(c) be the second derivative of -1/18*c**4 + c + 0 - 1/63*c**7 + 2/27*c**3 + 7/135*c**6 - p*c**5 + 0*c**2. Factor r(v).
-2*v*(v - 1)**3*(3*v + 2)/9
Let u(y) = -10*y**2 + 13*y - 1. Let i(o) = 21*o**2 - 25*o + 1. Let t(f) = 3*i(f) + 7*u(f). Factor t(b).
-(b - 2)*(7*b - 2)
Let f(i) be the third derivative of i**7/630 - i**6/120 + i**5/90 - 5*i**2. Factor f(j).
j**2*(j - 2)*(j - 1)/3
Let q = 227/1143 - -3/127. Let i(z) be the first derivative of q*z**3 + 2 - 1/4*z**4 + 0*z + 0*z**2. Factor i(j).
-j**2*(3*j - 2)/3
Factor 0*l**2 + 0 - 2/21*l**3 + 0*l.
-2*l**3/21
Let d(b) = -10*b**2 + 11*b + 35. Let o(q) = -8*q**2 + 10*q + 34. Let j(i) = -2*d(i) + 3*o(i). Factor j(h).
-4*(h - 4)*(h + 2)
Let y = -11/70 + 5/14. Let -y*r**3 + 1/5*r**2 + r + 3/5 = 0. Calculate r.
-1, 3
Let b = -37 - -37. Let x(o) be the third derivative of 0*o**4 + 1/180*o**5 + 0 + 0*o + 3*o**2 + 1/360*o**6 + b*o**3. Let x(i) = 0. What is i?
-1, 0
Suppose -2*b + 10 = 6*p - p, 0 = -b. Let u(g) be the first derivative of -1/9*g**6 + g**p - 2/3*g - 1/3*g**4 + 2 - 4/9*g**3 + 2/5*g**5. Factor u(z).
-2*(z - 1)**4*(z + 1)/3
Let q = 261/320 - 1/64. Let x(b) be the first derivative of 1 + 7/5*b**2 + q*b + 4/15*b**3 - 3/10*b**4. Factor x(v).
-2*(v - 2)*(v + 1)*(3*v + 1)/5
Let c(s) be the second derivative of s**7/168 - 13*s**6/720 - s**5/60 + s**4/6 - s. Let x(k) be the third derivative of c(k). Factor x(a).
(a - 1)*(15*a + 2)
Factor -6/11 + 4/11*b + 2/11*b**2.
2*(b - 1)*(b + 3)/11
Let s = 13 - 7. Let v be (-1)/s + 33/90. Factor -1/5 - 2/5*f - v*f**2.
-(f + 1)**2/5
Let s(y) be the third derivative of -y**6/40 + y**5/20 + y**4/8 - y**3/2 + 8*y**2. Let s(k) = 0. What is k?
-1, 1
Suppose 24 = 3*q + q. Let h(u) be the third derivative of 1/210*u**7 + 0*u + 1/96*u**4 + 1/1344*u**8 + 1/60*u**5 + u**2 + 1/80*u**q + 0 + 