j**5 + 2 + 0*j + 0*j**2 + 2/5*j**4 + 8/15*j**3. Let d(g) = 0. Calculate g.
-2, 0
Let x(g) be the third derivative of g**7/75 + g**6/150 - 7*g**5/150 - g**4/30 + 9*g**2. Let x(f) = 0. Calculate f.
-1, -2/7, 0, 1
Let g(k) be the second derivative of -9*k**6/40 - 21*k**5/20 - 2*k**4 - 2*k**3 - 2*k**2 + 7*k. Let m(a) be the first derivative of g(a). Factor m(y).
-3*(y + 1)*(3*y + 2)**2
Let h = 256/5661 + -2/333. Let a = 5/17 + h. Factor 0*m + m**3 + 1/3*m**2 + a*m**5 + m**4 + 0.
m**2*(m + 1)**3/3
Suppose -15 = -0*g - 5*g. Factor 6*q**g - 2*q + 2*q**2 - 2 - 4*q**3 + 0*q**3.
2*(q - 1)*(q + 1)**2
Let f(t) be the second derivative of t**4/15 + t**3/3 + 2*t**2/5 - 4*t. Factor f(y).
2*(y + 2)*(2*y + 1)/5
Let t = -2/181 - -734/905. Let x = 22/15 - t. Solve 0*q**3 - x*q**5 - 14/9*q**4 + 0*q + 0 + 8/9*q**2 = 0.
-2, -1, 0, 2/3
Let g(p) be the first derivative of p**7/21 - p**6/5 + p**5/5 + p**4/3 - p**3 + p**2 - 2*p - 2. Let y(v) be the first derivative of g(v). Factor y(z).
2*(z - 1)**4*(z + 1)
Let s(c) = -c**3 + 7*c**2 - 8*c - 4. Let p be s(5). Let r be (8/p)/((-4)/(-2)). Determine m, given that -2/3*m + r*m**3 - 2/3 + 2/3*m**2 = 0.
-1, 1
Let t(r) be the first derivative of 1/14*r**4 - 2/21*r**3 + 3 + 2/7*r - 1/7*r**2. Factor t(k).
2*(k - 1)**2*(k + 1)/7
Let s(f) be the first derivative of -1/2*f**2 - 1 + 1/3*f**3 - 1/12*f**4 - 2*f. Let q(w) be the first derivative of s(w). Factor q(j).
-(j - 1)**2
Let g(p) = -5*p**5 + 5*p**4 + 11*p**3 + p**2 + 6. Let u(m) = m**3 + m**2 + 1. Let i(n) = -g(n) + 6*u(n). Determine a, given that i(a) = 0.
-1, 0, 1
Suppose y - 13*y = -24. Suppose -t - 7/2*t**y + 0 = 0. What is t?
-2/7, 0
Let o(h) = 8*h - 196. Let b be o(25). Determine i, given that -4/3 - i**5 - 3*i**3 + 11/3*i**b - 7/3*i**2 + 4*i = 0.
-1, 2/3, 1, 2
Solve -i + i**2 - 6*i**4 - 6*i**3 + 11*i**2 + 4*i + 3*i**5 - 6 = 0.
-1, 1, 2
Let q be 2*2/4 - -1. Let h be (1/q)/(2/12). Determine y so that 2*y**2 - y**3 + 2*y - y**h - 2*y = 0.
0, 1
Suppose 0*k - 2/17*k**4 + 0 - 8/17*k**2 + 8/17*k**3 = 0. Calculate k.
0, 2
Let o(t) be the third derivative of -5*t**8/336 - t**7/21 + t**5/6 + 5*t**4/24 - 5*t**2. Suppose o(z) = 0. Calculate z.
-1, 0, 1
Let s(u) = -3*u**3 - 6*u**2 + 3. Let j(c) = c + 1. Let p(a) = 3*j(a) + s(a). Factor p(l).
-3*(l - 1)*(l + 1)*(l + 2)
Suppose -7*v = -14*v + 35. Let f(i) be the third derivative of 0*i**4 + 0*i + 0 + 1/40*i**v - 1/40*i**6 - 2*i**2 + 1/140*i**7 + 0*i**3. Factor f(k).
3*k**2*(k - 1)**2/2
Let k = 1336/3 + -451. Let h = k - -6. Find n, given that -h*n**2 - 2/3 - n = 0.
-2, -1
Let x(l) be the first derivative of -l**5/50 - 3*l**4/10 - 9*l**3/5 - 27*l**2/5 - l - 4. Let k(u) be the first derivative of x(u). Factor k(t).
-2*(t + 3)**3/5
Suppose -4*z - 5 = p, -2*p - 2*p + 4*z - 40 = 0. Let b(r) = -r**3 - 8*r**2 + 8*r - 7. Let i be b(p). Suppose 0*k**i + 0 - 1/3*k**3 + 1/3*k = 0. What is k?
-1, 0, 1
Let i(j) be the first derivative of -j - 2/3*j**2 + 8 - 1/9*j**3. Factor i(n).
-(n + 1)*(n + 3)/3
Let j(v) be the third derivative of v**7/630 - 5*v**4/24 + 7*v**2. Let d(z) be the second derivative of j(z). Factor d(i).
4*i**2
Let k(q) be the second derivative of q**7/210 - q**6/75 - q**5/100 + q**4/30 - 12*q. Factor k(b).
b**2*(b - 2)*(b - 1)*(b + 1)/5
Let a(b) be the first derivative of 2*b**3/27 + 7*b**2/9 - 16*b/9 + 42. Factor a(p).
2*(p - 1)*(p + 8)/9
Let k be -2 - (-2 - -5 - 1). Let n(b) = b + 7. Let r be n(k). Factor 2*w**r - 3*w**3 - 2*w + 3*w**3.
2*w*(w - 1)*(w + 1)
Factor z**3 + 4*z**4 - z - z**2 - 6*z**4 + 3*z**4.
z*(z - 1)*(z + 1)**2
Let j be 26/8 - (-8)/32. Factor -1/2*m**5 + 5/2*m**4 - m + 0 - 9/2*m**3 + j*m**2.
-m*(m - 2)*(m - 1)**3/2
Let f(b) be the third derivative of -1/54*b**5 + 0 + 1/9*b**4 - 4/27*b**3 + 0*b - 4*b**2. Let f(n) = 0. Calculate n.
2/5, 2
Let c be (-2 - 0)/(2/(-5)). Factor -c*q**2 + 2*q - 4*q**3 - 4*q + 0*q**3 - q**4.
-q*(q + 1)**2*(q + 2)
Let m = -40/7 - -967/168. Let r(f) be the second derivative of 1/12*f**3 + 4*f - m*f**4 + 0 + 0*f**2. Factor r(j).
-j*(j - 1)/2
Let x be -1*9/(3 + -6). Let y(i) = -2*i**2 + 5. Let n(l) = -1. Let f(g) = x*n(g) - y(g). Factor f(j).
2*(j - 2)*(j + 2)
Let h(j) be the second derivative of 5*j**4/12 - 5*j**3/3 - 15*j**2/2 - 21*j. Suppose h(y) = 0. What is y?
-1, 3
Let s = -6 + 8. Factor 2/7*y**s + 2/7*y - 2/7*y**3 - 2/7.
-2*(y - 1)**2*(y + 1)/7
Let h(y) be the first derivative of 7 - 3*y - 1/9*y**3 - y**2. Factor h(g).
-(g + 3)**2/3
Suppose 8*b = 7*b. Suppose -3*f + b*f + 6 = 0. Find n such that 1/3 + 1/3*n**3 + n**f + n = 0.
-1
Let y be (4/(-3))/((-2)/3). Suppose -y*c - 4 = c - 4*z, c = z. Suppose 3*q**c + 8*q - 2 - 4*q**3 - 8*q**2 - 4*q**5 + 4*q**4 + 3*q**4 = 0. Calculate q.
-1, 1/2, 1
Let s = 26 + -181/7. Factor s*r**2 + 1/7 - 2/7*r.
(r - 1)**2/7
Solve 6*n**2 - 43*n + 5*n**3 + 29*n**2 + 118*n + 45 = 0 for n.
-3, -1
Factor -11/3*n - 16*n**2 - 1/3 - 16*n**5 - 112/3*n**4 - 104/3*n**3.
-(2*n + 1)**4*(3*n + 1)/3
Let d = -1045 + 1047. What is r in 36/7*r**d + 4/7 + 24/7*r + 16/7*r**3 = 0?
-1, -1/4
Let d(k) be the first derivative of -3*k**5/10 - 5*k**4/6 - 2*k**3/3 + k - 3. Let c(n) be the first derivative of d(n). Factor c(q).
-2*q*(q + 1)*(3*q + 2)
Suppose 0*i + 8 = 4*i. Let k(c) be the first derivative of 3 - 3/2*c**i + 2*c + 1/3*c**3. Factor k(x).
(x - 2)*(x - 1)
Let w(q) be the third derivative of -q**9/181440 - q**5/15 - 7*q**2. Let l(g) be the third derivative of w(g). Solve l(p) = 0.
0
Let h(y) be the first derivative of 0*y - 3/4*y**4 - 4 - 2*y**3 - 3/2*y**2. Solve h(t) = 0 for t.
-1, 0
Factor 0*z - 3/5*z**4 + 1/5*z**2 + 0 + 2/5*z**3.
-z**2*(z - 1)*(3*z + 1)/5
Let u(z) be the second derivative of z**5/50 + z**4/30 - 17*z. Factor u(j).
2*j**2*(j + 1)/5
Let r(z) = z**3. Let p(g) = 6*g**3 - 2*g**2 - 2*g + 2. Let k(h) = p(h) - 4*r(h). Factor k(v).
2*(v - 1)**2*(v + 1)
Let p(g) be the first derivative of g**6/810 + g**5/540 - g**4/108 - 4*g**3/3 - 5. Let s(v) be the third derivative of p(v). Factor s(w).
2*(w + 1)*(2*w - 1)/9
Let b(l) be the second derivative of -7*l**5/120 - 2*l**4/9 + 17*l**3/36 + l**2/2 - 3*l. Factor b(z).
-(z - 1)*(z + 3)*(7*z + 2)/6
Suppose 6*k - 6 = 5*k. Suppose 0 = -4*r + b - 2*b + k, 0 = r + 3*b + 4. Factor 5/3*v + 1/3*v**3 - 2/3 - 4/3*v**r.
(v - 2)*(v - 1)**2/3
Let r(s) be the third derivative of -1/60*s**4 - 1/15*s**3 + 1/150*s**6 + 0 + 0*s - 1/525*s**7 + 1/75*s**5 - 1/840*s**8 + 2*s**2. Determine o so that r(o) = 0.
-1, 1
Let w = 90 + -86. Factor -9/4*q**2 + 0*q**3 + 3/4*q**w + 0 + 3/2*q.
3*q*(q - 1)**2*(q + 2)/4
Let c be 3 + (-1 + 2)/(-1). Suppose 4*u - 5*u + c = 0. Let f**u + 0*f**2 - 2*f + 3*f**2 = 0. Calculate f.
0, 1/2
Let a(t) be the first derivative of -t**8/1008 - t**7/315 + t**5/90 + t**4/72 + t**2 - 7. Let z(l) be the second derivative of a(l). Factor z(i).
-i*(i - 1)*(i + 1)**3/3
Determine p so that p**4 - 29*p**2 - 11*p - 28*p**2 + 5*p**3 - 6 + 54*p**2 - 2*p**3 = 0.
-3, -1, 2
Let x(j) be the second derivative of -j**5/2 + j**4/2 + 4*j**3 + 4*j**2 + 7*j. Suppose x(u) = 0. Calculate u.
-1, -2/5, 2
Let q(y) = -2*y + 2. Let h be q(6). Let b = -4 - h. Determine m, given that -2*m + 3*m**4 - b*m**4 + 2*m**4 + 1 + 2*m**3 = 0.
-1, 1
Suppose 0 - 7 = t + j, 0 = -2*t + 3*j - 4. Let u be (0 + 1)/(t/(-10)). Factor 0 + 2/5*c + 2/5*c**u.
2*c*(c + 1)/5
Let r(x) be the first derivative of -1/120*x**5 - 1 + x**2 + 0*x + 1/120*x**6 - 1/48*x**4 + 0*x**3. Let y(l) be the second derivative of r(l). Factor y(w).
w*(w - 1)*(2*w + 1)/2
Let a(g) = 14*g**2 - 1. Let p be a(1). Determine o so that -4*o**2 - 2*o**3 + 2*o**5 + p*o + 4*o**4 - 13*o = 0.
-2, -1, 0, 1
Let c = 313/24 - 13. Let b(a) be the third derivative of 0*a - 1/60*a**5 + 2*a**2 + 1/3*a**3 - c*a**4 + 0. Let b(h) = 0. Calculate h.
-2, 1
Let o(h) be the first derivative of 2*h**5/3 - 25*h**4/12 + 20*h**3/9 - 5*h**2/6 - 25. Let o(x) = 0. Calculate x.
0, 1/2, 1
Let q = 1 - 13. Let l be (-2)/3 + (-56)/q. Factor 4*n**2 - 3*n**2 + l*n + n**2 + 2.
2*(n + 1)**2
Let m(n) be the first derivative of -1/12*n**6 - 1/5*n**5 + 0*n - 4 + 1/3*n**3 + 1/4*n**2 + 0*n**4. Factor m(a).
-a*(a - 1)*(a + 1)**3/2
Let c(u) be the first derivative of 4*u - 6*u**2 - 10 - 16/3*u**3. Factor c(l).
-4*(l + 1)*(4*l - 1)
Let n(y) be the third derivative of -y**5/15 + 11*y**4/24 - 19*y**3/6 + 10*y**2. Let h(j) = 5*j**2 - 12*j + 20. Let r(u) = 