c**4 + 0*c - c**j + 0. Factor w(g).
-2*g*(g - 1)
Let y(s) be the third derivative of s**7/315 - s**5/90 - 3*s**2. Let y(d) = 0. Calculate d.
-1, 0, 1
Let p(f) = -f**3 - f**2 + f + 1. Let a(h) = -8*h**3 - 20*h**2 - 16*h - 4. Let n(g) = a(g) - 4*p(g). Factor n(t).
-4*(t + 1)**2*(t + 2)
Let l(i) = -3*i**2 - 47*i + 333. Let q(g) = -4*g**2 - 46*g + 332. Let p(a) = -6*l(a) + 5*q(a). What is z in p(z) = 0?
13
Let c(n) be the first derivative of 8/3*n + 2/3*n**2 - 2/9*n**3 + 2 - 1/12*n**4. Suppose c(q) = 0. Calculate q.
-2, 2
Let l be (4/3)/((-98)/(-21)). Factor -l*o - 4/7 + 2/7*o**2.
2*(o - 2)*(o + 1)/7
Find q such that -2*q**4 + 44*q**2 - 2*q**5 + 17*q**3 - 50*q**2 - 7*q**3 = 0.
-3, 0, 1
Factor 1/6*g**2 + 1/6 + 1/3*g.
(g + 1)**2/6
Let x be 21699/(-351) + (-2)/(-13). Let i = x - -63. Determine w, given that 2/3*w + 0 - i*w**2 + 2/3*w**3 = 0.
0, 1
Let m(w) be the second derivative of -w**6/50 + 3*w**5/100 + w**4/10 - w. Solve m(l) = 0.
-1, 0, 2
Let h = -1310 - -1310. Suppose 2/3*k**2 + h + 0*k - 2/3*k**3 = 0. Calculate k.
0, 1
Let g(v) be the third derivative of v**5/120 + v**4/24 + v**2. Factor g(l).
l*(l + 2)/2
Let l(s) = s**2 - 8*s - 4. Let x be l(9). Factor 2*u - 2*u**2 - 15*u**3 - 9*u**4 + 4*u**2 + u - x*u**2.
-3*u*(u + 1)**2*(3*u - 1)
Factor 24/5*t - 16/5 - 12/5*t**2 + 2/5*t**3.
2*(t - 2)**3/5
Let r be 8/12*4 - 2/(-6). Let g(y) be the third derivative of 0*y**3 - r*y**2 + 1/80*y**5 - 1/280*y**7 + 0 - 1/32*y**4 + 0*y + 1/160*y**6. Factor g(n).
-3*n*(n - 1)**2*(n + 1)/4
Let r = 23/12 + -7/12. Let -2/3 + 11/3*u**2 + r*u**3 + 5/3*u = 0. Calculate u.
-2, -1, 1/4
Let d(x) be the first derivative of -x**8/840 - x**7/84 - x**6/20 - 7*x**5/60 - x**4/6 + 4*x**3/3 - 4. Let b(n) be the third derivative of d(n). Factor b(z).
-2*(z + 1)**3*(z + 2)
Let g = 41/68 + -6/17. Factor 0 + g*q**2 + 1/2*q.
q*(q + 2)/4
Suppose 27/4*b + 81/4*b**2 + 81/4*b**3 + 3/4 = 0. Calculate b.
-1/3
Suppose -18 = 16*a - 50. Factor 0 - p**a - 1/2*p - 1/2*p**3.
-p*(p + 1)**2/2
Let p be -1*1 - (-10 + 2). Let q**5 - p*q**3 - 2*q**4 - q**5 + 2*q**2 + 5*q**3 + 2*q**5 = 0. Calculate q.
-1, 0, 1
Let t be (-876)/(-2520) - (-1)/(-3). Let h(a) be the third derivative of -1/84*a**4 - t*a**5 + 0 + 0*a + 0*a**3 - a**2. Suppose h(p) = 0. What is p?
-1/3, 0
Let v(a) be the first derivative of -1/8*a**4 + 1 - a - 1/12*a**3 - 1/60*a**6 - 3/40*a**5 + 0*a**2. Let i(o) be the first derivative of v(o). Factor i(t).
-t*(t + 1)**3/2
Suppose 2*t - 5 - 91 = 0. Let k = -16 + 27. Factor -k - t*j - 12*j - 21*j - 27*j**2 - 3*j**3 - 70.
-3*(j + 3)**3
Let 0*z + 0 - 1/3*z**2 + 1/3*z**3 = 0. What is z?
0, 1
Suppose 0 = -a + 2*a. Factor 2/9*m - 2/9*m**2 + a.
-2*m*(m - 1)/9
Let l = -68 - -123. Let n be l/70 - 6/21. Determine d so that -1/2*d**3 + 1/2 - n*d**2 + 1/2*d = 0.
-1, 1
Let y(s) be the first derivative of s**6/10 + 9*s**5/20 - 2*s**3 + 7*s - 1. Let k(a) be the first derivative of y(a). Factor k(d).
3*d*(d - 1)*(d + 2)**2
Let k(r) be the first derivative of -r**3/12 + r**2 - 4*r - 7. Solve k(j) = 0.
4
Suppose -11 = -4*h + 5. Let w = -29/5 + 121/20. Factor -d**h + w*d**5 + 0 - d**2 + 3/2*d**3 + 1/4*d.
d*(d - 1)**4/4
Suppose 0 = 3*y + 5*p - 1, y - 4*p - 2 = 2*y. Suppose -5*d = 2*n, -y*n = -2*d + 2*n + 24. Factor 2 + 10*o**3 - 8*o**4 - d - 2*o**2.
-2*o**2*(o - 1)*(4*o - 1)
Let f = -7249/5 - -1928559/1330. Let a = 7/38 + f. Factor -3/7*o**2 + a - 3/7*o**3 + 3/7*o.
-3*(o - 1)*(o + 1)**2/7
Let z(b) = -b**3 - 2*b**2 + 3*b + 1. Let i be z(-3). Let a be i/(-2) + (-5)/(-2). Factor c + c + c**a - 3*c.
c*(c - 1)
Let t = 15 - 13. Factor -o**2 + 0*o**2 - 5*o**2 + 8*o - 6*o**t + 4*o**3.
4*o*(o - 2)*(o - 1)
Suppose 64 = 3*b + 64. Factor -4/11*p**3 + b*p + 2/11*p**2 + 0 + 2/11*p**4.
2*p**2*(p - 1)**2/11
Let l(w) be the third derivative of -w**6/8 - w**5/12 + 5*w**4/2 + 10*w**3/3 + 33*w**2 - 2*w. Factor l(a).
-5*(a - 2)*(a + 2)*(3*a + 1)
Let d(t) be the second derivative of 2*t**7/21 - 2*t**6/5 + 3*t**5/5 - t**4/3 + 7*t. Factor d(p).
4*p**2*(p - 1)**3
Let b = 11 - 7. Suppose -b*f = 5*z - 2, -4 = 2*f - 0*f. Factor -1/4*i + i**z + 0.
i*(4*i - 1)/4
Let z(q) be the first derivative of q**7/525 + q**6/75 + q**5/25 + q**4/15 + q**3/15 - q**2/2 + 3. Let b(i) be the second derivative of z(i). Factor b(f).
2*(f + 1)**4/5
Let d(f) be the third derivative of -2*f**7/735 + f**6/140 - f**4/84 + 24*f**2. Factor d(t).
-2*t*(t - 1)**2*(2*t + 1)/7
Suppose 3*y + 2*d - 13 = 0, 0*y + 4*d = -4*y + 12. Let h(s) = -s + 7. Let w be h(y). Determine b, given that w*b + 2/7 - 2/7*b**2 = 0.
-1, 1
Let z(i) be the second derivative of -i**7/210 - i**6/75 + i**5/25 + i**4/30 - i**3/10 - i - 3. Determine r, given that z(r) = 0.
-3, -1, 0, 1
Factor 2*f**2 + 2*f + 14 + 15 - 29.
2*f*(f + 1)
Suppose 2*v - 6*v + 12 = 0. Let a(c) = 6*c**4 + 4*c**3 - 2*c**2 - 3*c. Let g(y) = -y. Let k = -4 + 3. Let x(n) = k*a(n) + v*g(n). Find f such that x(f) = 0.
-1, 0, 1/3
Let q(t) = 128*t**2 + 200*t + 80. Let b(m) = -895*m**2 - 1400*m - 560. Let p(j) = 3*b(j) + 20*q(j). Factor p(w).
-5*(5*w + 4)**2
Let q(l) be the first derivative of 0*l**2 + 3 - 1/8*l**4 + 0*l - 1/6*l**3 + 1/2*l**5 - 1/4*l**6. Factor q(n).
-n**2*(n - 1)**2*(3*n + 1)/2
Let l(n) be the first derivative of n**6/33 - 9*n**4/11 + 81*n**2/11 + 37. Solve l(f) = 0.
-3, 0, 3
Let f(c) be the first derivative of -c**7/420 - c**6/240 + c**5/40 + 5*c**4/48 + c**3/6 + 4*c**2 - 7. Let t(h) be the second derivative of f(h). Factor t(w).
-(w - 2)*(w + 1)**3/2
Let 18/7*o**3 + 0 + 8/7*o**4 + 2/7*o + 12/7*o**2 = 0. What is o?
-1, -1/4, 0
Let o = 1 + 1. Suppose x - 2 = o. Suppose -6 + 4 + c - c**2 + x = 0. Calculate c.
-1, 2
Let n(h) be the second derivative of -h**7/315 + h**6/180 + h**5/90 - h**4/36 - h**2 + 3*h. Let a(x) be the first derivative of n(x). Factor a(g).
-2*g*(g - 1)**2*(g + 1)/3
Factor -2 + 1 + c**3 + 2 - c - c**2.
(c - 1)**2*(c + 1)
Let w be (-4)/(-3)*(8 - (-135)/(-18)). Factor 0 + 2/3*f**4 + 4/3*f - w*f**2 - 4/3*f**3.
2*f*(f - 2)*(f - 1)*(f + 1)/3
Factor 2 + 3*r**2 - 6 + 5*r**2 - 4*r**4.
-4*(r - 1)**2*(r + 1)**2
Let w(o) = o**2 - 3*o + 3. Let u be w(2). Let d be 0 - ((-10)/8 + u). Suppose -1/4 - d*t**4 - 3/2*t**2 - t**3 - t = 0. Calculate t.
-1
Let t(h) = h + 1. Let l(o) = o**2 - 6*o - 6. Suppose -2*f - 3*m = 15, 5*f - m + 18 = -11. Let n(d) = f*t(d) - l(d). Factor n(r).
-r**2
Let b be (-148)/(-36) + -7 + 3. Let f(y) be the third derivative of 0*y + 0 + 1/90*y**5 + b*y**3 + y**2 - 1/18*y**4. Factor f(q).
2*(q - 1)**2/3
Let v(k) = 3*k - 11. Let o be v(5). Suppose y - 4*c = 4, 1 = -5*c - o. Let 2/3*d + 1/3*d**2 + y = 0. What is d?
-2, 0
Let p be ((-32)/(-24))/((-22)/(-3)). Determine k so that -8/11*k + 12/11*k**2 + 2/11*k**4 + p - 8/11*k**3 = 0.
1
Let m(k) be the third derivative of -k**9/70560 + k**8/35280 + k**7/17640 + k**5/30 - 3*k**2. Let z(w) be the third derivative of m(w). Let z(n) = 0. What is n?
-1/3, 0, 1
Suppose a + k + 1 = -0*a, -5*a - 4*k = 2. Find m, given that -1/3*m**a - 1/3 + 2/3*m = 0.
1
Determine d, given that -245*d**2 + d**4 + 233*d**2 - 44*d**3 - 4*d**4 - 4*d**4 = 0.
-6, -2/7, 0
Let s(p) be the third derivative of 0 + 0*p + 5/168*p**8 - 1/15*p**7 - 5*p**2 + 7/30*p**5 + 0*p**3 - 1/6*p**4 - 1/20*p**6. What is l in s(l) = 0?
-1, 0, 2/5, 1
Suppose 18*k + 192 = 66*k. Factor 0*z**3 + 0 - 6/7*z**2 + 2/7*z**k - 4/7*z.
2*z*(z - 2)*(z + 1)**2/7
Let c(g) be the third derivative of 0*g**4 + 0*g + 0 + 1/20*g**5 - 2*g**3 - 9*g**2. What is u in c(u) = 0?
-2, 2
Let u(w) = -2*w**2 + 3. Let f be 10/(-65) + (-24)/13. Let s = -5 - f. Let q(d) = -3*d**2 + 4. Let h(b) = s*q(b) + 4*u(b). Factor h(g).
g**2
Let y(u) be the third derivative of -u**8/1008 + u**7/90 - u**6/72 - 7*u**5/180 + u**4/12 + 19*u**2. What is j in y(j) = 0?
-1, 0, 1, 6
Suppose 0 = -5*q + z + 50, 4*q - 4*z - 14 = 26. Let h = 11 - q. Determine r so that 5/2*r - h + 7/2*r**2 = 0.
-1, 2/7
Suppose -4*t = -10 - 10. Suppose t*x - 6*x = 0. Factor -a**2 + 2*a**3 + x*a**3 - a**3.
a**2*(a - 1)
Let w(o) = -o**3 + 4*o**2 + 13*o - 3. Let d be w(6). Let -4/7*y**2 - 2/7*y**d + 0 - 2/7*y = 0. What is y?
-1, 0
Suppose 75 - 139 = -32*x. Suppose 8/3*r - 8/3*r**2 - 14/3*r**3 + 8/3*r**4 + 0 + x*r**5 = 0. Calculate r.
-2, -1, 0, 2/3, 1
Let w(b) = -3*b. Let m be w(-1). Suppose 3*a**2 + a**3 + 4*a**2 - m*a**2 + a - 6*a**2 = 0. What is a?
0, 1
Factor 0*a**2 - 21*a**3 +