 - o*g.
3*(g - 1)*(g + 1)*(g + 2)/4
Let s = 231 - 2077/9. Factor 8/9*q**3 + 0 + 2/3*q**2 - s*q.
2*q*(q + 1)*(4*q - 1)/9
Let j(i) be the third derivative of i**9/15120 - i**7/1260 + i**5/120 + i**4/6 + 8*i**2. Let w(d) be the second derivative of j(d). Let w(a) = 0. What is a?
-1, 1
Suppose 3*t = 15, 3*z + 5*t = -0*z + 25. Find p such that -2/3*p - 1/3*p**2 + z = 0.
-2, 0
Let v be (-1 - -3 - 4)*(1 + -2). Factor -2/5*j + 0 + 2/5*j**v.
2*j*(j - 1)/5
Suppose -6 - 9 - 3*c**3 - 5*c**2 + 25*c + 0*c**3 - 2*c**3 = 0. What is c?
-3, 1
Let f be (3 + (1 - 4))/1. Factor f - 1/4*l - 1/4*l**2.
-l*(l + 1)/4
Let b(c) be the third derivative of -c**7/40 + 11*c**6/240 + c**5/240 - c**4/48 - 2*c**2. Solve b(h) = 0.
-2/7, 0, 1/3, 1
Suppose 2*g = 5*x - 3*g + 5, 6 = 2*g. Find l such that 3*l - 5*l**x + 2*l**2 + 2*l**2 = 0.
0, 3
Let p(j) = 7*j**3 - 2*j**2 - 4*j + 4. Let s(c) = -6*c**3 + 3*c**2 + 3*c - 3. Let d(l) = 3*p(l) + 4*s(l). Let d(z) = 0. Calculate z.
0, 2
Let a(d) be the first derivative of -d**5/5 + 3*d**4/4 - d**3/3 - 3*d**2/2 + 2*d - 3. Factor a(g).
-(g - 2)*(g - 1)**2*(g + 1)
What is o in 1/6*o**4 + 2/3*o + 1/3*o**2 - 1/2 - 2/3*o**3 = 0?
-1, 1, 3
Let v = -33 + 35. Let y(i) = 5*i**2 + i. Let d be y(1). Factor 6*j - 2*j**3 - 4*j - 14*j - 18*j**2 - d*j**3 - v.
-2*(j + 1)**2*(4*j + 1)
Suppose -17*m + 30 = -2*m. Factor a**m - 5/3*a - 2/3.
(a - 2)*(3*a + 1)/3
Factor -24/11*a + 2/11*a**4 + 8/11 + 26/11*a**2 - 12/11*a**3.
2*(a - 2)**2*(a - 1)**2/11
Let s(j) be the second derivative of j**6/42 - 3*j**5/140 - j**4/42 - 47*j. What is p in s(p) = 0?
-2/5, 0, 1
Let h(t) be the second derivative of -t**7/21 + t**6/15 + 3*t**5/10 - t**4/6 - 2*t**3/3 + 4*t. Let h(s) = 0. Calculate s.
-1, 0, 1, 2
Let u = 3 + 7. Factor 12 - 4*w - 3*w**2 - 6*w + u*w.
-3*(w - 2)*(w + 2)
What is s in 0 + 0*s + 1/7*s**3 - 1/7*s**2 = 0?
0, 1
Let m(p) be the first derivative of -2*p**5/65 + 4*p**3/13 + 8*p**2/13 + 6*p/13 + 24. Let m(z) = 0. What is z?
-1, 3
Let j(n) be the second derivative of n**6/120 - n**5/40 - n**4/48 + n**3/12 - 18*n. Let j(g) = 0. Calculate g.
-1, 0, 1, 2
Let i(p) be the third derivative of -p**7/945 - p**6/135 - p**5/45 - p**4/27 - p**3/27 + 23*p**2. Suppose i(m) = 0. Calculate m.
-1
Let k(o) be the third derivative of -4*o**5/15 + o**4/6 - o**2. Solve k(n) = 0 for n.
0, 1/4
Let z = 126 + -57. Find l such that 6*l**3 + 69 + 4*l**2 - 16*l**5 - 4*l**4 - z + 10*l**3 = 0.
-1, -1/4, 0, 1
Let o(t) be the second derivative of -1/2*t**4 - 1/5*t**6 - 1/4*t**3 - 1/28*t**7 - 9/20*t**5 + 0*t**2 + 0 - t. Let o(l) = 0. Calculate l.
-1, 0
Let o(f) = 10*f**2 + 10*f - 6. Let b(w) be the second derivative of w**4/6 + w**3/3 - w**2/2 - 3*w. Let d(i) = 14*b(i) - 3*o(i). Factor d(n).
-2*(n - 1)*(n + 2)
Suppose 26*m - 15*m = 16*m. Solve -4/3*w**2 + 2/3*w**4 + 0 - 2/3*w**3 + m*w = 0 for w.
-1, 0, 2
Let u(k) be the third derivative of 2/105*k**5 - 5/84*k**4 + 0*k + 0 + 2/21*k**3 - 1/420*k**6 - k**2. What is p in u(p) = 0?
1, 2
Let l = -82 + 82. Let u(r) be the first derivative of 0*r**3 + l*r**2 + 3 + 0*r - 3/4*r**4. Find k, given that u(k) = 0.
0
Suppose -j + b = j - 25, -5*b - 60 = -5*j. Let j*v - 12 - 2*v + v - 3*v**2 = 0. Calculate v.
2
Let m(r) be the second derivative of -r**4/12 + r**3/3 - 6*r. Factor m(c).
-c*(c - 2)
Let r(l) be the first derivative of 1/2*l**2 - 1/5*l**5 + 0*l + 3/4*l**4 - l**3 + 4. Determine p, given that r(p) = 0.
0, 1
Let y(z) = z**3 - 2*z**2 - 2*z - 2. Let u be y(3). Let g = -37/6 - -77/12. What is x in -u - g*x**2 - x = 0?
-2
Let q(i) be the second derivative of -i**4/42 + i**2/7 - 7*i. Factor q(u).
-2*(u - 1)*(u + 1)/7
Determine n so that -1/5*n + 1/5*n**3 - 2/5*n**2 + 2/5 = 0.
-1, 1, 2
Let q be (-38)/(-40) - (6/8)/(-3). Let 0 + 4/5*l + 2/5*l**4 + q*l**5 - 2/5*l**2 - 2*l**3 = 0. What is l?
-1, 0, 2/3, 1
Let r = 0 - 2. Let q = r + 5/2. Factor 1 - 1/2*a - q*a**2.
-(a - 1)*(a + 2)/2
Let a = -37 + 37. Let t(g) be the second derivative of 1/14*g**7 - 1/2*g**4 + 0 + 0*g**2 + a*g**5 + 1/5*g**6 - 1/2*g**3 + g. Factor t(d).
3*d*(d - 1)*(d + 1)**3
Let g(f) = f**3 - 14*f**2 + 33*f. Let n be g(11). Solve -4/13*d**3 + 4/13*d - 2/13*d**4 + 2/13 + n*d**2 = 0.
-1, 1
Let n(p) be the third derivative of p**5/30 + p**4/6 + p**3/3 - 6*p**2. Find o such that n(o) = 0.
-1
Let j = 122 - 362/3. Factor 2/3 - 2/3*o**2 + 4/3*o - j*o**3.
-2*(o - 1)*(o + 1)*(2*o + 1)/3
Let d be 50/125 + (-32)/(-70). Factor 6/7*x**2 + 2/7*x**4 + 0 - 2/7*x - d*x**3.
2*x*(x - 1)**3/7
Let c = 152 + -150. Factor 2/5 - 2/5*p**c + 0*p.
-2*(p - 1)*(p + 1)/5
Let d(a) be the first derivative of a**7/126 - a**6/30 + a**5/30 + a**4/18 - a**3/6 + a**2/6 + 4*a + 3. Let s(i) be the first derivative of d(i). Factor s(o).
(o - 1)**4*(o + 1)/3
Let s(p) = 4*p**3 - 3*p**2 - 6*p + 7. Let j be s(1). Factor 8/5*y**j - 6*y - 8/5.
2*(y - 4)*(4*y + 1)/5
Suppose 0 = -3*v - 24 + 90. Suppose p - 8 = -2*l, 6*p - v = -5*l + 3*p. Factor 0*w**2 - 3*w**2 + 1 + l*w**2.
-(w - 1)*(w + 1)
Suppose 2*g - 4 = g. Let a(h) = 5*h**3 - 6*h**3 + 7*h - g*h + 4*h**2 - 2*h**2. Let y(f) = f**3 - 3*f**2 - 4*f. Let m(t) = -5*a(t) - 4*y(t). Factor m(q).
q*(q + 1)**2
Let j(o) be the second derivative of 0*o**2 + 3*o + 1/150*o**5 + 1/60*o**4 + 0 - 1/300*o**6 + 1/6*o**3. Let n(w) be the second derivative of j(w). Factor n(x).
-2*(x - 1)*(3*x + 1)/5
Suppose -9 = 7*q - 23. Let k(z) be the third derivative of 0*z**4 + 0*z**3 + 0*z - 1/60*z**6 + z**q + 1/30*z**5 + 0. Find v, given that k(v) = 0.
0, 1
Suppose 69/5*b**2 + 12/5 - 12*b - 21/5*b**3 = 0. Calculate b.
2/7, 1, 2
Suppose 9*m = 3*m + 84. Suppose u = 2*u - 3*i - m, -u - 4 = 3*i. Solve 0*c + 1/2*c**4 - 1/2*c**2 + 1/2*c**3 - 1/2*c**u + 0 = 0 for c.
-1, 0, 1
Let l(t) be the second derivative of t**5/12 + t**4/2 + 2*t**3/3 - 4*t**2/3 - 7*t. Factor l(n).
(n + 2)**2*(5*n - 2)/3
Let q = 2 - 0. Let 2/11*r**3 - 2/11*r + 2/11 - 2/11*r**q = 0. What is r?
-1, 1
Let x(k) be the first derivative of 2*k**5/5 - k**4 + 2*k**3/3 + 7. Determine r, given that x(r) = 0.
0, 1
Let s(r) be the third derivative of 0*r + 1/6*r**4 + 0 - 2/15*r**5 + 4/105*r**7 - 8*r**2 + 0*r**3 - 1/84*r**8 + 0*r**6. What is o in s(o) = 0?
-1, 0, 1
Let f(q) be the third derivative of -3*q**6/40 + 7*q**5/20 - 2*q**3 + q**2. What is h in f(h) = 0?
-2/3, 1, 2
Suppose -2*i - 30 = -12*i. Let r(c) be the first derivative of -1 + 1/8*c**2 + 1/4*c**i - 1/16*c**4 - 1/2*c - 1/20*c**5. Solve r(x) = 0.
-2, -1, 1
Let x be -30*(13/(-5) - -3). Let i = x + 16. Factor 0*w - 2/9*w**i + 0 + 0*w**2 + 0*w**3.
-2*w**4/9
Suppose -4*z + 24 = 4*j, -3*j + j - 4*z + 16 = 0. Let s be (-1)/(-3) + 3/3. Factor 2/3*y**j + 4/3*y**3 + 0*y**2 - s*y - 2/3.
2*(y - 1)*(y + 1)**3/3
Let n(r) = r**2. Let w = 4 + -2. Let i(y) = -y**2 - 2*y**w + 0*y + 2*y**2 + y. Let s(m) = -2*i(m) - 6*n(m). Factor s(p).
-2*p*(2*p + 1)
Let o be 7 + 0 + (-8)/2. Find p, given that -p**o + 0*p**3 - 3*p**2 + 5*p**2 = 0.
0, 2
Let z(t) = -15*t**2 + 21*t + 6. Let h(y) = -y**2 + y + 1. Let x(f) = 12*h(f) - z(f). Factor x(i).
3*(i - 2)*(i - 1)
Find p, given that 48/5*p - 56/5 - 2/5*p**3 - 6/5*p**2 = 0.
-7, 2
Let m(s) = s**2 + s - 4. Let t be m(-4). Let o be (t - 6)/(2/3). Factor -2*r**4 + 0*r**4 + 2*r**2 + 2*r - o*r**3 + r**3.
-2*r*(r - 1)*(r + 1)**2
Let b(q) = -q**2 - q + 15. Let m be b(-4). Factor 0 + 8/5*t + 36/5*t**2 - 44/5*t**m.
-4*t*(t - 1)*(11*t + 2)/5
Let w(x) = -x**2 + 8*x - 7. Let h be w(7). Suppose h*r - 6 = -2*r. Find s, given that s**4 - s**2 + 5*s**3 - 5*s**r = 0.
-1, 0, 1
Let j(d) = 5*d**3 + 2*d**2 - 7*d + 8. Let w(n) = 11*n**3 + 5*n**2 - 13*n + 17. Let y(v) = 5*j(v) - 2*w(v). Let y(r) = 0. What is r?
-2, 1
Let r(s) be the first derivative of -4/15*s**3 + 2/15*s**4 + s - 1/50*s**5 + 0*s**2 + 2. Let l(a) be the first derivative of r(a). Find h such that l(h) = 0.
0, 2
Let y(o) be the third derivative of -o**8/1848 - 8*o**7/1155 - 5*o**6/132 - 19*o**5/165 - 7*o**4/33 - 8*o**3/33 - 6*o**2. Factor y(a).
-2*(a + 1)**2*(a + 2)**3/11
Suppose 19*u - 17*u = 0. Let v(t) be the second derivative of 1/2*t**2 + t + u + 1/12*t**4 - 1/3*t**3. What is w in v(w) = 0?
1
Let z(c) = -c**2 + 1. Let h be z(-1). Factor h*o**2 + 3*o - 5 + o**2 + 7.
(o + 1)*(o + 2)
Let z(a) be the third derivative of -2*a**5/15 - a**4/12 + 6*a**2. Factor z(x).
-2*x*(4*x + 1)
Let q(g) = -g**3 + g**2. Let j(p) = -3*p**4 + p**3 - 4*p**2. Let x(o) = 