/5*b.
2*(b - 2)**2*(b - 1)/5
Let q(o) be the second derivative of -3*o - 2/75*o**6 + 0*o**2 - 2/15*o**3 + 3/100*o**5 + 1/210*o**7 + 1/15*o**4 + 0. Solve q(p) = 0.
-1, 0, 1, 2
Factor -3*p + 3/2*p**2 + 0.
3*p*(p - 2)/2
Suppose 0 = -5*m + 8 + 22. Let k(w) be the second derivative of -1/105*w**m + 0 + 0*w**3 + 1/70*w**5 - w + 1/42*w**4 - 1/147*w**7 + 0*w**2. Factor k(j).
-2*j**2*(j - 1)*(j + 1)**2/7
Let a(y) be the first derivative of -12/35*y**5 + 0*y - 8/7*y**3 - 4 + 4/7*y**2 + 1/21*y**6 + 13/14*y**4. Solve a(p) = 0.
0, 1, 2
Let f(y) be the first derivative of -1/90*y**5 + y**2 + 0*y - 1/18*y**4 - 2 - 1/9*y**3. Let n(l) be the second derivative of f(l). Solve n(w) = 0.
-1
Let u(s) be the third derivative of 0 + 6*s**2 + 0*s**3 + 1/120*s**5 + 0*s**4 + 0*s. What is l in u(l) = 0?
0
What is n in 28/5*n**2 + 12/5*n + 3/5*n**4 + 0 + 17/5*n**3 = 0?
-3, -2, -2/3, 0
Let v = -52 - -470/9. Solve 0 - v*h + 2/9*h**2 = 0.
0, 1
Factor 10/13 - 8/13*k - 2/13*k**2.
-2*(k - 1)*(k + 5)/13
Let y be ((-2)/((-4)/6))/1. Suppose -4*u - 4*w + 23 = -9, 3*w - 9 = 0. Determine g so that y*g**4 - 3*g**2 + u*g**3 - g + 4 - 4 - 4*g**5 = 0.
-1, -1/4, 0, 1
Let b = -30 - -33. Let j = -1 + 6. Solve -2/3*n**b + 2/3*n**2 + 1/3 - 1/3*n**j - n**4 + n = 0 for n.
-1, 1
Suppose -5*u = -m + 10, -3*m = -4*m + 4*u + 9. Find x such that x**3 + 5*x**3 + 8*x**m - x**2 + 0*x**2 - 7*x**4 - 5*x**4 = 0.
0, 1/2
Let y(j) be the second derivative of -1/2*j**4 - 10/3*j**3 + 9/20*j**5 + 4*j - 4*j**2 + 0. Factor y(o).
(o - 2)*(3*o + 2)**2
Let t(i) be the second derivative of i**5/20 + 11*i**4/28 + 16*i**3/21 - 6*i**2/7 + i + 3. Let t(b) = 0. What is b?
-3, -2, 2/7
Let j = -116/3 - -39. Suppose 4*s + z + 0*z - 3 = 0, 3*z = 4*s - 23. Factor 2/3 + j*f**s + f.
(f + 1)*(f + 2)/3
Let t be ((-12)/(-27))/4*6. Find k such that 0 + t*k**2 + 0*k = 0.
0
Let y be 20/5 - (-17)/(-30)*7. Let x(h) be the third derivative of -2*h**2 + 1/30*h**3 + 0 + 0*h + 1/100*h**5 - y*h**4. Let x(w) = 0. Calculate w.
1/3, 1
Let r(c) = -2*c**4 - 7*c**3 + 20*c**2 - 18*c - 7. Let m(a) = -a**4 - 2*a**3 + 7*a**2 - 6*a - 2. Let v(b) = 7*m(b) - 2*r(b). Suppose v(d) = 0. What is d?
-2, 0, 1
Let n(l) = 7*l**4 - 7*l**3 - 11*l**2 + 2*l - 1. Let p(x) = 4*x**4 - 4*x**3 - 6*x**2 + x - 1. Let r(f) = 6*n(f) - 10*p(f). Factor r(b).
2*(b - 2)*(b - 1)*(b + 1)**2
Let r(t) be the second derivative of t**2 - 1/6*t**4 + 0 - 1/2*t**3 - 4*t. Find n, given that r(n) = 0.
-2, 1/2
Let x(u) be the third derivative of u**8/6720 - u**7/1680 - u**5/20 + 3*u**2. Let d(y) be the third derivative of x(y). Solve d(c) = 0.
0, 1
Let y(b) = b**2 - b + 1. Let h(s) = 9*s**2 - 2*s + 17. Let l(j) = -3*h(j) + 24*y(j). Factor l(w).
-3*(w + 3)**2
Let x = -10 + 14. Suppose -u = -3*u + x. Factor 0*a + 0*a**u + 0 + 1/3*a**3.
a**3/3
Let o(u) = -3*u**3 + 3*u - 3. Let d(n) = 6*n**3 - n**2 - 6*n + 6. Suppose 3*t = -0*t + 15. Let i(h) = t*o(h) + 3*d(h). Find y, given that i(y) = 0.
-1, 1
Let m(f) be the second derivative of f**9/3024 + f**8/840 + f**7/840 + f**3/6 - 2*f. Let g(p) be the second derivative of m(p). Factor g(w).
w**3*(w + 1)**2
Let l(n) = -7*n**3 - 120*n**2 - 240*n - 8. Let s(k) = -5*k**3 - 80*k**2 - 160*k - 5. Let f(r) = -5*l(r) + 8*s(r). Let f(a) = 0. Calculate a.
-4, 0
Let z be ((-3)/2)/(3/8). Let m be 34/8 - (-1)/z. Let -40*p - m + 6 - 14*p**4 - 8*p**5 + 6 + 28*p**3 + 26*p**2 = 0. What is p?
-2, 1/4, 1
Factor -9*m - 2*m**2 - 2*m + 3*m.
-2*m*(m + 4)
Let v(m) be the second derivative of -m**9/6048 + m**7/840 - m**5/240 - 4*m**3/3 - 2*m. Let q(g) be the second derivative of v(g). Find o, given that q(o) = 0.
-1, 0, 1
Suppose -5*a + 30 = 5*l, a - l = -6*l + 18. Determine n, given that -3*n**a - 27/5*n**2 - 3/5*n**4 - 6/5 - 21/5*n = 0.
-2, -1
Let j(w) be the second derivative of -w**7/294 - w**6/210 + 3*w**5/140 + w**4/84 - w**3/21 + 3*w. Determine u, given that j(u) = 0.
-2, -1, 0, 1
Suppose -4*s + 7*s = 6. Factor k + s*k**2 - k**5 + 7 - 7 - 2*k**4.
-k*(k - 1)*(k + 1)**3
Let a be (0/(49/7))/(-3). Find u, given that 0*u + a*u**2 + 4/7*u**3 + 0 - 2*u**4 = 0.
0, 2/7
Let p(i) be the first derivative of 2*i**3/3 + 3*i**2 + 9. Factor p(v).
2*v*(v + 3)
Let c(t) = 4*t - 2. Let y be c(1). Factor -3/5*w + 3/5*w**3 + 3/5 - 3/5*w**y.
3*(w - 1)**2*(w + 1)/5
Let n(q) be the third derivative of 9*q**5/20 - 5*q**4/16 - q**3/2 - 10*q**2. Suppose n(w) = 0. Calculate w.
-2/9, 1/2
Let t(i) be the second derivative of i**7/126 - i**6/90 - i**5/30 - 16*i. Determine b, given that t(b) = 0.
-1, 0, 2
Let i be 2/(-7) + 176/28. Let t be (-12)/i + 5/2. Find s, given that -s - 1/2*s**2 - t = 0.
-1
Let d = -7 - -28. Let h = d - 15. Solve -6*q - 3*q**3 + h*q + q**2 + 2*q**3 = 0 for q.
0, 1
Let d(h) = -2*h**3 + 6*h**2 + 4. Let f(q) = q**3 - q**2 - 1. Let t = 25 - 21. Let y(r) = t*f(r) + d(r). Factor y(i).
2*i**2*(i + 1)
Let w(b) be the second derivative of b**6/300 - b**5/150 - b**4/60 + b**3/15 + 2*b**2 - 4*b. Let n(y) be the first derivative of w(y). Factor n(q).
2*(q - 1)**2*(q + 1)/5
Let f = 16/27 + 2/27. Factor -2/3*v**2 + f + 0*v.
-2*(v - 1)*(v + 1)/3
Let g = 0 - -2. Let l = 4 + -1. Solve 4*s - 4*s + 2 + s**g + l*s = 0 for s.
-2, -1
Let u(y) be the first derivative of -4*y + 0*y**2 + 1/150*y**6 - 4 - 3/50*y**5 - 4/15*y**3 + 1/5*y**4. Let v(c) be the first derivative of u(c). Factor v(o).
o*(o - 2)**3/5
Let w(k) be the second derivative of -k + 0*k**3 + 0*k**4 - 1/20*k**5 + 0*k**2 + 0. Find o such that w(o) = 0.
0
Let h(q) be the first derivative of -q**2 - 4/3*q - 2/9*q**3 + 6. Let h(y) = 0. Calculate y.
-2, -1
Find s, given that -s**2 + 6*s**4 + 8*s**5 - 5*s**2 - 22*s**5 + 11*s**5 + 3*s**3 = 0.
-1, 0, 1, 2
Let l be (-1)/(-4) + (-213)/(-12). Suppose 4*q + 5*v = l, 5*v = q + 2*v + 4. Find z, given that z + 4*z**q + 0*z**2 - 1 - z**3 - 3*z**2 = 0.
-1, 1
Let f be ((-8)/5*-1)/(2 - 0). Find u, given that 0 + 2/5*u**3 + 2/5*u + f*u**2 = 0.
-1, 0
Solve -10/9*f**5 + 0 - 4/9*f**4 + 10/3*f**3 - 8/9*f - 8/9*f**2 = 0.
-2, -2/5, 0, 1
Let a(l) = l**2 - 2*l + 1. Let d be a(3). Let o(s) = 0 - d - s**2 + 2. Let g(c) = -2*c**2 - 3. Let r(v) = -2*g(v) + 3*o(v). Factor r(x).
x**2
Let i be (-2829)/60 - (-18)/(-30). Let k = i + 48. Factor 1/4*g**3 + 0*g + k*g**2 + 0.
g**2*(g + 1)/4
Let z(d) be the first derivative of -d**5/10 + 3*d**4/4 + 33. Solve z(f) = 0 for f.
0, 6
Find s, given that -17 + 5 + 4*s**2 - 24*s - 16 + 0*s**2 = 0.
-1, 7
Suppose -j = 3*j - 20. Suppose -31 = -3*c - j*i, 0 = 4*c + 2*i + 3*i - 33. Suppose -4 - 6*d**c - 2*d**3 + 16*d**2 + 3*d + 3*d**4 - d - 9*d**4 = 0. What is d?
-1, 2/3, 1
Let x(z) = z**2 + 13*z + 43. Let w be x(-6). Factor 2/3*f + w - 1/3*f**2.
-(f - 3)*(f + 1)/3
Let k(x) be the first derivative of -x**6/3 - 3*x**5/5 + x**4/2 + 4*x**3/3 - x + 1. Let k(b) = 0. Calculate b.
-1, 1/2, 1
Suppose 17*i = 14*i. Let v(p) be the first derivative of 0*p + i*p**2 + 4 + 2/21*p**3. Factor v(u).
2*u**2/7
Factor 0 - 2/5*g**2 + 6/5*g**3 + 2/5*g**5 + 0*g - 6/5*g**4.
2*g**2*(g - 1)**3/5
Let i be 9/45 - 13/(-35). Factor -2/7*c**2 + i*c - 2/7.
-2*(c - 1)**2/7
Let c(z) be the first derivative of z**4/18 - z**2/3 - 4*z/9 + 1. Solve c(r) = 0.
-1, 2
Let 10/7*f**3 - 2*f**4 - 12/7*f + 2*f**2 + 2/7*f**5 + 0 = 0. What is f?
-1, 0, 1, 6
Let z = 67 - 267/4. Solve -1/2*x + 1/4 + z*x**2 = 0.
1
Let 12/7*l - 3/7*l**4 + 15/7*l**3 - 24/7*l**2 + 0 = 0. Calculate l.
0, 1, 2
Let u(f) be the third derivative of f**7/420 - f**6/240 - f**5/60 + 19*f**2. Factor u(j).
j**2*(j - 2)*(j + 1)/2
Let d be (1/2)/((-13)/10). Let t = 11/39 - d. Factor 0 - t*l**2 - 2/3*l.
-2*l*(l + 1)/3
Let q be 2/2*3 - 3. Let o = 33/20 + -7/5. Find f such that -3/4*f**2 - o*f + q = 0.
-1/3, 0
Let j(i) be the third derivative of -1/210*i**6 + 3*i**2 + 0 - 1/210*i**5 + 0*i + 1/42*i**4 + 1/21*i**3. What is g in j(g) = 0?
-1, -1/2, 1
Suppose -4*l = -13 + 1. Find x such that x**4 + 4*x**2 - x**3 + x**3 + l*x**3 - 2*x**2 = 0.
-2, -1, 0
Let b(x) = -x**2 - x - 1. Let f(q) = -3*q**2 + 4*q + 12. Let w(j) = -4*b(j) + f(j). Determine c, given that w(c) = 0.
-4
Let p(x) be the second derivative of -1/18*x**3 + 0 - 1/9*x**4 + x + 0*x**2. Factor p(v).
-v*(4*v + 1)/3
Let x(b) = b**3 + b**2 + 3. Let i be x(0). Factor -m**2 - 2*m**3 + 3*m**i + 3*m**2 + m**3.
2*m**2*(m + 1)
Let r(k) = k**3 - 4*k**2 + 5*k + 2. Let o be r(2). Let a(m) be the first derivative of -4 + 0*m - m**