Let c(o) = -7*o**2 + 7*o + 8. Let l(t) = 13*t - 15*t**2 - 7*t + 17 + 9*t. Let j(u) = 13*c(u) - 6*l(u). Let j(a) = 0. What is a?
-1, 2
Suppose 26 + 24 = -5*f. Let a = 12 + f. Factor 0 - 18*m**a - 109/2*m**3 - 2*m - 49/2*m**5 - 63*m**4.
-m*(m + 1)**2*(7*m + 2)**2/2
Let c(r) be the second derivative of -r**6/60 + r**5/15 - r**4/12 - 3*r**2/2 - 4*r. Let l(y) be the first derivative of c(y). Suppose l(z) = 0. Calculate z.
0, 1
Let a be 12/(-18)*(-2 - 4/(-6)). Let -64/9*v + 242/3*v**3 + 22/9*v**2 - a = 0. Calculate v.
-2/11, 1/3
Let 2*j**3 + 31*j**2 + 4 - 6*j - 31*j**2 = 0. What is j?
-2, 1
Let c(q) = -6*q**2 + 7*q - 1. Let b(u) = -u - 1 + u**2 + 2 - 1. Let m(s) = -10*b(s) - 2*c(s). Factor m(z).
2*(z - 1)**2
Let x be 25/35*2/5. Factor 2/7*b**2 - 4/7 + x*b.
2*(b - 1)*(b + 2)/7
Let f(u) be the third derivative of u**7/840 - u**6/480 - u**5/120 - 5*u**2. Factor f(w).
w**2*(w - 2)*(w + 1)/4
Let z = 28120026/5 - 43501697937/7735. Let s = -1/221 - z. Determine j, given that 0 + 30/7*j**3 - 32/7*j**5 - 16/7*j**4 + s*j**2 + 2/7*j = 0.
-1, -1/4, 0, 1
Let -18*o - 5*o**2 + 5*o + 10 - 2*o + 10*o**2 = 0. Calculate o.
1, 2
Let o(z) be the third derivative of 0 + 0*z**3 + 0*z**4 + 6*z**2 + 0*z - 1/240*z**6 - 1/60*z**5. Factor o(p).
-p**2*(p + 2)/2
Let i(k) = k**3 - 9*k**2 + 9*k - 6. Let n be i(8). Let f(c) = -2*c. Let y be f(-1). Factor -n*p**2 + y + 11*p - 11*p.
-2*(p - 1)*(p + 1)
Let d be (-10)/(-8)*(-200)/(-125). Determine h so that 0 + 0*h + 0*h**d + 1/7*h**5 + 1/7*h**3 + 2/7*h**4 = 0.
-1, 0
Let a(s) = s - 1. Let k be a(4). Let l(o) be the first derivative of -7/6*o**4 + 8/9*o**k + 4/3*o**2 - 1 + 0*o + 4/15*o**5. Factor l(r).
2*r*(r - 2)**2*(2*r + 1)/3
Let t = -65 + 196/3. Factor 0*h - 1/6*h**2 - t*h**3 + 0 - 1/6*h**4.
-h**2*(h + 1)**2/6
Let h(v) be the first derivative of v**4/10 + 8*v**3/5 + 48*v**2/5 + 128*v/5 - 2. Factor h(b).
2*(b + 4)**3/5
Let y = -7 + 4. Let b be (-10)/(-5) - (1 + y). Solve -6*j**b - 8*j**5 + 0*j + 4*j**3 + 6*j**2 + 6*j**3 - 2*j = 0.
-1, 0, 1/4, 1
Determine h so that 0*h**3 + 0 + 10/3*h + 5*h**2 - 5/3*h**4 = 0.
-1, 0, 2
Let h be 9 - 1/1*-1. Let n be 1 - (h/4 - 2). Factor -1 - 1/2*j + n*j**2.
(j - 2)*(j + 1)/2
Let h = 1 - 1. Let k(u) = u + 2. Let p be k(h). Factor -2*m**2 + p*m + 0*m - 2 - 6*m.
-2*(m + 1)**2
Let y be (-88)/(-20) + -4 + 0. Find k such that y*k + 0 + 2/5*k**2 = 0.
-1, 0
Solve 0*i**2 - 59*i + 16*i**3 - 24*i**2 + 0 + 71*i - 2 = 0.
1/2
Let i = -91/2 + 47. Let -n**3 + 1/4 + 1/4*n**4 + i*n**2 - n = 0. What is n?
1
Let b(p) be the second derivative of -p**8/672 + p**6/120 - p**4/48 + 3*p**2/2 + 3*p. Let v(x) be the first derivative of b(x). Factor v(j).
-j*(j - 1)**2*(j + 1)**2/2
Suppose -n + 3*b = 6, -4*n - b - 18 = -n. Let a = n + 9. Factor -4*s**3 + 2*s**3 + 4*s**a - 2*s**5.
-2*s**3*(s - 1)*(s + 1)
Let s be (-21)/14 + 2/4. Let t = s - -3. Factor 1/2*f**t + 0 + 1/2*f.
f*(f + 1)/2
Let s = 37 - 59. Let h be s/(-6) - 22/33. Solve -2/3*i**h - 2*i**2 - 2/3 - 2*i = 0 for i.
-1
Let x(m) be the third derivative of -m**6/60 + 2*m**5/15 - 9*m**2. Factor x(o).
-2*o**2*(o - 4)
Suppose -4*d - 18 = -3*w + w, -4*w - 5*d + 75 = 0. Suppose 0 = 5*j - 3*c - 0*c - w, 5*c + 25 = -3*j. Factor -3/4*y**4 + 5/4*y**5 + 0*y**2 + 0*y + j - 1/2*y**3.
y**3*(y - 1)*(5*y + 2)/4
Let n = -13 - 11. Let j = n + 26. Factor 0*x - x**2 + 1/2*x**5 + 0 - j*x**4 + 5/2*x**3.
x**2*(x - 2)*(x - 1)**2/2
Let g(p) = -3*p**4 + 3*p**3 + 15*p**2 + 9*p + 5. Let u(i) = -i**4 - i**3 + i**2 + i + 1. Let b(h) = g(h) - 5*u(h). Factor b(t).
2*t*(t + 1)**2*(t + 2)
Let f(u) be the second derivative of -u**7/189 - 2*u**6/135 - u**5/90 - 20*u. Factor f(r).
-2*r**3*(r + 1)**2/9
Suppose 0 = -7*u - 7*u + 42. Let m(n) be the first derivative of -8/3*n**u + 6/5*n**5 - 3 + 0*n + 0*n**2 - 2*n**4. Factor m(y).
2*y**2*(y - 2)*(3*y + 2)
Let g(n) be the first derivative of n**7/21 - n**6/15 - n**5/10 + n**4/6 - 4*n + 3. Let o(r) be the first derivative of g(r). Determine q so that o(q) = 0.
-1, 0, 1
Let l(g) be the third derivative of g**7/120 + 3*g**6/160 + g**5/120 + 21*g**2. Suppose l(k) = 0. What is k?
-1, -2/7, 0
Let u(q) be the third derivative of 0 + 1/2*q**3 + 0*q + 3*q**2 - 3/16*q**4 + 1/40*q**5. Factor u(m).
3*(m - 2)*(m - 1)/2
Let z be 137 - (-3)/(-4 + 1). Let o = z - 676/5. Find u, given that -o + 4/5*u - 1/5*u**2 = 0.
2
Let h be (-6 - -7)/((-5)/(-10)). Factor 3/8*b**h + 3/4 - 3/4*b**3 + 15/8*b.
-3*(b - 2)*(b + 1)*(2*b + 1)/8
Suppose c + 25 = 6*c. Let x(y) be the first derivative of 0*y**2 - y**4 + 2/5*y**c + 0*y + 2/3*y**3 - 2. Factor x(l).
2*l**2*(l - 1)**2
Find a, given that 0*a + 0 - 1/3*a**2 + 1/3*a**3 + 2/3*a**4 = 0.
-1, 0, 1/2
Let j be (-33)/(-15) + 1/(-5). Solve 16*y + 0*y**2 - 27 + 2*y - y**2 - 2*y**j = 0.
3
Let q(o) be the third derivative of -o**6/1620 + o**5/180 - o**4/54 + 2*o**3/3 + 7*o**2. Let t(g) be the first derivative of q(g). Factor t(r).
-2*(r - 2)*(r - 1)/9
Let j(v) = -v + 2. Let l be j(-3). Suppose 0 = c - 6*c + l. Factor -3 + c + 4*w - w**2 - w**2.
-2*(w - 1)**2
Solve -7/2*r**2 + 2/3 + 4/3*r = 0.
-2/7, 2/3
Let i be 0 + 3/9*0. Let q(p) be the third derivative of -1/18*p**4 + 0 + i*p + 3*p**2 - 1/90*p**5 - 1/9*p**3. Find m, given that q(m) = 0.
-1
Let s(g) be the third derivative of -9*g**8/112 + 17*g**7/70 - g**6/120 - 47*g**5/60 + 7*g**4/6 - 2*g**3/3 - 6*g**2. Solve s(i) = 0 for i.
-1, 2/9, 2/3, 1
Let x(s) be the second derivative of -s**6/15 - 3*s**5/5 - 2*s**4 - 8*s**3/3 + 32*s. What is o in x(o) = 0?
-2, 0
Let q(b) = b**2 + 2*b - 13. Let z(i) = -i - 1. Let p(f) = q(f) - 6*z(f). Let l be p(-9). Factor -l*c**3 + 4*c**3 - 3*c**3 - 2*c + 2*c**2 + c.
-c*(c - 1)**2
Let n(d) be the first derivative of -d**6/3 + 5*d**4/2 - 4*d**2 - 3. Suppose n(t) = 0. Calculate t.
-2, -1, 0, 1, 2
Let b(z) be the third derivative of -3*z**2 + 1/60*z**6 + 0 + 0*z - 1/3*z**3 + 1/30*z**5 - 1/12*z**4. Factor b(j).
2*(j - 1)*(j + 1)**2
Suppose -2*u - 40 = -5*p + 3*u, -4 = p - 4*u. Let i be (-3)/p + (-3)/(-4). Solve 7/2*f**3 - 4*f**2 + 1/4*f**5 + 9/4*f - i - 3/2*f**4 = 0 for f.
1, 2
Let j be 1/(((-12)/9)/4). Let q be 1*3 + (-4 - j). Factor -2 - 4*w + q*w - 2*w**2 + 6*w.
-2*(w - 1)**2
Let q(c) be the third derivative of 81*c**8/560 - 9*c**7/25 + 13*c**6/200 + 7*c**5/25 + c**4/10 + 41*c**2. Find u, given that q(u) = 0.
-2/9, 0, 1
Let x = -14 - -23. Suppose 8 = -5*j + x*j. Determine w so that -1/3*w + 2/3 - 1/3*w**j = 0.
-2, 1
Suppose 6*m = 11*m. Factor m*a - 1/5*a**3 + 0 + 1/5*a**2.
-a**2*(a - 1)/5
Let u = -301 - -301. Factor -3/10*x**4 - 7/5*x**5 + 0*x + u + 0*x**2 + 1/5*x**3.
-x**3*(2*x + 1)*(7*x - 2)/10
Determine s, given that -81 - 9*s - 1/4*s**2 = 0.
-18
Let m(t) = 2*t**2 + 3*t - 1. Let q be m(-3). Suppose -q*x = -7*x. Solve 0*c + 0 + x*c**2 - 4/5*c**4 + 2/5*c**5 + 2/5*c**3 = 0 for c.
0, 1
Suppose 0 = -5*o - 5, -2*b - 5*o + 3 = 8. Let l = b + 3. Let -5/2*q**5 + 0*q + q**4 - q**2 + 5/2*q**l + 0 = 0. What is q?
-1, 0, 2/5, 1
Let g(n) = 6*n**2 + 12*n + 15. Let q(b) be the third derivative of b**5/60 + b**3/6 + 7*b**2. Let t(s) = g(s) - 3*q(s). Let t(v) = 0. What is v?
-2
Let g(v) be the third derivative of v**8/36960 + v**7/13860 + v**4/8 + v**2. Let l(i) be the second derivative of g(i). Suppose l(y) = 0. Calculate y.
-1, 0
Let y(s) = s + 11. Let j be y(-9). Suppose -a + 15 = 4*a - 5*c, j*a - 14 = -2*c. Suppose -6*p - 3*p**5 - 2*p**3 + 3*p**3 + 3*p + a*p**3 = 0. Calculate p.
-1, 0, 1
Solve 3/2*m + 3/4*m**2 - 3/4*m**3 + 0 = 0 for m.
-1, 0, 2
Let y(x) be the first derivative of 2 + 0*x - 1/18*x**3 + 0*x**2. Factor y(q).
-q**2/6
Let i be 48/80 + (-12)/(-5). Factor 2*g**i - 4/5 - 2/5*g**4 + 14/5*g - 18/5*g**2.
-2*(g - 2)*(g - 1)**3/5
Let k(l) be the second derivative of l**6/180 + l**5/20 + l**4/6 - l**3/2 - 2*l. Let x(h) be the second derivative of k(h). Factor x(g).
2*(g + 1)*(g + 2)
Suppose 0 = -3*u + 7*u. Let t = u + 3. Let x**2 + x**2 - 6*x**3 + 4*x + t*x**5 - x**5 + 0*x**5 - 2*x**4 = 0. What is x?
-1, 0, 1, 2
Let r = -23119/40 + 578. Let m(c) be the second derivative of 2*c + 3/80*c**5 + r*c**6 + 1/48*c**4 + 0*c**3 + 1/168*c**7 + 0*c**2 + 0. What is s in m(s) = 0?
-1, 0
Let u(c) be the first derivative of 0*c**2 + 2 + 1/180*c**6 + 0*c + 0*c**5 + 1/3*c**3 - 1/12*c**4. Let j(z) be the third derivative of u(z). Factor j(v).
2*(v - 1)*(v + 1)
Let u(g) = 1 - 7 + 17*g**4 - 2 - 8*g + 17*g*