+ q**4/9 - q**3/3 + 11*q**2/2 + 10*q. Let d(m) be the first derivative of u(m). Factor d(a).
-2*(a - 3)*(a - 1)/3
Let u = -43427/7 - -6205. Determine q, given that 20/7*q**3 - 6*q**2 + 0*q + u = 0.
-2/5, 1/2, 2
Suppose 2*m - 2*h + 5 = -41, -2*m - h = 52. Let i(j) = j**2 + 26*j + 28. Let y be i(m). Solve 3/5*g + 6/5 - 3/5*g**y - 6/5*g**2 = 0.
-2, -1, 1
Let n(s) be the third derivative of s**5/300 + s**4/10 + 11*s**3/30 - 84*s**2. Factor n(b).
(b + 1)*(b + 11)/5
Let q(k) = 36*k**3 - 81*k**2 + 3*k. Let s(m) = 2*m**3 - m**2 - m. Let y(l) = q(l) - 6*s(l). Determine u so that y(u) = 0.
0, 1/8, 3
Suppose 3*x - 26 = 2*r - 6*r, -8 = -2*x + 2*r. Let p be x/5 + (-42)/(-105). Factor -2/5*b**5 + 0 + p*b**4 - 12/5*b**3 - 2/5*b + 8/5*b**2.
-2*b*(b - 1)**4/5
Suppose 2*p - 8 = -2*p. Solve 0*y**4 - y + y**4 - 3*y**p - 4*y**3 + 5*y**3 + 2 = 0.
-2, -1, 1
Let v be 8/7*63/18. Suppose 0 = -5*j, 2*d + j - 2 = v. Factor 4*q**4 + 4*q**d - 41*q + 41*q.
4*q**3*(q + 1)
Let v = -438/169 - -197785/1521. Let i = v - 127. Determine n, given that -i*n**3 + 0 - 2/9*n**5 - 2/3*n**4 + 0*n + 0*n**2 = 0.
-2, -1, 0
Suppose -2*w = -3*t + 2*w + 32, -14 = -3*t - 5*w. Factor 10*b**3 + 2*b**3 + 10*b + t*b**2 - 10*b + 4*b**4.
4*b**2*(b + 1)*(b + 2)
Let k(t) = 5*t**2 + 1. Let i(d) = 4*d + 33. Let h be i(-7). Let u(c) = -5*c**2. Let p(x) = h*k(x) + 6*u(x). Suppose p(b) = 0. Calculate b.
-1, 1
Let z = -6/359 + 863/30156. Let f(o) be the third derivative of o**2 - 1/420*o**6 + 0 + 1/210*o**5 + z*o**4 - 1/21*o**3 + 0*o. Solve f(c) = 0 for c.
-1, 1
Let w be ((-9)/3 - -5) + 8/20. Factor -3*g**2 - w - 24/5*g - 3/5*g**3.
-3*(g + 1)*(g + 2)**2/5
Let i(d) be the third derivative of -d**7/2520 - d**6/72 - 5*d**5/24 + d**4/8 - 6*d**2. Let t(q) be the second derivative of i(q). Determine r so that t(r) = 0.
-5
Suppose -3*f + 4 = -f. Suppose 4*c - 4*v - 32 = 0, -f*c + 0*c + 31 = -5*v. Factor 0 + c*p**2 + 3 + 3*p - 9*p.
3*(p - 1)**2
Suppose -4*v + k = -0*k - 10, -3*v - 3*k = -15. Let j(o) = o**3 - 1. Let c(d) = 8*d**3 - 2*d**2 - 9*d + 3. Let u(w) = v*j(w) + 3*c(w). What is y in u(y) = 0?
-1, 2/9, 1
Let c = -117 - -120. Let x(y) be the third derivative of 1/210*y**7 + 1/20*y**5 - 1/40*y**6 - 1/24*y**4 + 0 + y**2 + 0*y + 0*y**c. Factor x(b).
b*(b - 1)**3
Let h(o) be the third derivative of o**6/120 - 11*o**5/60 - 13*o**4/12 - 26*o**2 - 1. Solve h(y) = 0.
-2, 0, 13
Let k(u) be the second derivative of u**8/6720 + u**7/630 + u**6/144 + u**5/60 + u**4/2 + 9*u. Let h(w) be the third derivative of k(w). Factor h(x).
(x + 1)**2*(x + 2)
Let k be 131/8 + 75/(-200). Let s be ((-6)/4)/((-44)/k). Factor 0 - 2/11*z**2 - s*z.
-2*z*(z + 3)/11
Let p be (-13)/65 + (0 - 891/(-5)). Find c, given that -2*c**2 - 3*c**2 - p*c**4 + 183*c**4 = 0.
-1, 0, 1
Let b be (8/6*(-15)/(-10))/1. Suppose b = 4*k - 6. Suppose 1/4*n**k + 0*n + 1/4*n**3 + 0 = 0. Calculate n.
-1, 0
Factor 4/3*i**4 + 0*i + 32/9*i**3 + 0 - 2/9*i**5 + 0*i**2.
-2*i**3*(i - 8)*(i + 2)/9
Suppose t = 5*r, 5*r = -t + 3*t. Suppose t*v + 4*v - 12 = 0. Factor p**2 + 0*p + 5*p - v*p**2 + 3*p.
-2*p*(p - 4)
Let z = -36 - -36. Let n(o) be the first derivative of 1/4*o**4 + z*o**2 + 2/3*o**3 - 6 + 0*o. Factor n(p).
p**2*(p + 2)
Let i(c) be the second derivative of c**6/600 + c**5/50 - 10*c**3/3 - 10*c. Let q(f) be the second derivative of i(f). Factor q(a).
3*a*(a + 4)/5
Suppose 3*p - 13 = -4*u + 4, 3*p + u = 11. Find k such that -7*k**p - 20*k + 45*k**4 + 33*k**2 - 98*k**3 + 47*k**2 = 0.
0, 2/3, 1
Suppose 9*l + 10 = 28. Let t(h) be the first derivative of 0*h + 2/9*h**3 - 2/15*h**5 - 1/6*h**4 + 1 + 1/3*h**l. Let t(u) = 0. What is u?
-1, 0, 1
What is t in 113*t**2 - 61*t**2 - 55*t**2 + 36*t = 0?
0, 12
Let f(q) be the second derivative of q**6/300 - q**5/225 - q**4/180 - 19*q**2 + 22*q - 1. Let z(u) be the first derivative of f(u). Factor z(g).
2*g*(g - 1)*(3*g + 1)/15
Suppose -2*r = -5*g + 20 + 3, -r = 4*g - 8. Let i(o) be the third derivative of -1/480*o**6 - o**2 - 1/80*o**5 - 1/32*o**4 - 1/24*o**g + 0*o + 0. Factor i(z).
-(z + 1)**3/4
Let q(h) = -7*h**2 + h - 4. Let z(x) = 8*x**2 + 4. Suppose 5*g = -18 - 7. Let y(p) = g*z(p) - 6*q(p). Factor y(t).
2*(t - 2)*(t - 1)
Let m(v) = -7*v**5 + 20*v**4 - 21*v**3 - 2*v**2 + 16*v + 6. Let n(k) = -k**5 + 2*k**4 - k**3 + k**2 + 1. Let w(z) = -m(z) + 6*n(z). Find y such that w(y) = 0.
-1, 0, 1, 4
Suppose 7*s - 4 = 3*t + 3*s, 4*s - 4 = -5*t. Suppose 0 = -5*r - 2*b - 2*b + 15, -4*r - 5*b + 12 = t. Factor 1/3*g**4 + g**2 - 4/3 + 4/3*g**r - 4/3*g.
(g - 1)*(g + 1)*(g + 2)**2/3
Let l(r) = -4*r - 14. Let t(m) = m + 17. Let f be t(-5). Let b(u) = -15*u**2 + 4*u**2 + 1 + f*u**2. Let h(s) = 28*b(s) + 2*l(s). Factor h(j).
4*j*(7*j - 2)
Let c(a) be the third derivative of -a**9/4536 + a**8/1260 - a**7/1260 - 4*a**3/3 + 4*a**2. Let j(z) be the first derivative of c(z). Factor j(q).
-2*q**3*(q - 1)**2/3
Let n(o) be the first derivative of 1/1440*o**6 + 0*o + 7 - 1/48*o**5 + 25/96*o**4 + 0*o**2 + 2/3*o**3. Let y(l) be the third derivative of n(l). Factor y(q).
(q - 5)**2/4
Suppose 2679*f + 3*m - 48 = 2678*f, 0 = -2*f + 5*m + 8. Suppose 3/2*t**5 - 12*t + 21/2*t**3 - f + 69/2*t**2 - 21/2*t**4 = 0. Calculate t.
-1, 1, 4
Let r(l) be the second derivative of l**4/3 - 40*l**3/3 - 42*l**2 - 22*l - 2. Factor r(c).
4*(c - 21)*(c + 1)
Let d be (3 - 18/12)*2/3. Let s be ((-6)/(-4))/(d/3). Determine q so that 3/2 + s*q**2 + 9/2*q + 3/2*q**3 = 0.
-1
Suppose -3*a = -2*q - 5, -3*a = -q + 3 - 4. Let t(i) = -10*i**3 - 25*i**2 - 35*i. Let v(d) = -d**3 - d. Let c(n) = a*t(n) + 5*v(n). Factor c(m).
5*m*(m + 2)*(m + 3)
Let i(z) be the second derivative of -z**4/132 + 56*z**3/33 - 1568*z**2/11 - 4*z + 82. Factor i(k).
-(k - 56)**2/11
Let d = 25 - -18. Determine p, given that -5*p**2 - d*p**3 - 5*p**2 + 12*p**3 - 44*p**3 = 0.
-2/15, 0
Let r be -2 + (-1)/((-9)/20). Suppose 0 = -40*f + 38*f - 3*b - 12, -b + 9 = 5*f. Let r*v**f + 2/3*v**2 - 2/9*v**4 - 10/9*v + 4/9 = 0. What is v?
-2, 1
Factor -18/5*l + 1/5*l**4 - 2*l**3 + 27/5*l**2 + 0.
l*(l - 6)*(l - 3)*(l - 1)/5
Let l(p) = -39*p - 156. Let n be l(-4). Let k(o) be the third derivative of 0 + 1/42*o**4 + 0*o**3 + n*o + 2*o**2 - 1/70*o**5 + 1/420*o**6. Factor k(j).
2*j*(j - 2)*(j - 1)/7
Suppose -5*v + 27 = -8. Let i = -5 + v. Find y such that y**4 + 5*y**4 + 2*y**3 + i*y**5 + 2*y**5 = 0.
-1, -1/2, 0
Find n, given that -361/3 - 1/3*n**2 + 38/3*n = 0.
19
Let h(f) = 2*f - 3. Let u(z) = 3*z - 2. Let q(b) = -4*h(b) + 3*u(b). Let j be q(-4). Factor 20*a + 2*a**4 - j*a**3 - a**4 - 20*a + a**2.
a**2*(a - 1)**2
Find n, given that 3 + 6*n**2 + 6*n**2 - 13*n - 6*n + 7*n = 0.
1/2
Let x be (-4)/1*(-10)/4. Suppose -x = 5*d - 10*d. What is b in 0*b**2 - 8*b**3 + 2*b**5 - 2*b**4 - 2*b**3 + 2*b**d + 8*b**3 = 0?
-1, 0, 1
Suppose 9 = 2*l - 3*d, 0 = 6*l - l - 4*d - 19. Let 7*p**l - 23*p**3 - 29*p**3 + 35*p**2 + 10*p = 0. Calculate p.
-2/9, 0, 1
Factor -3*s + 4*s**2 + 13*s**3 - 14*s**3 + 964 - 964.
-s*(s - 3)*(s - 1)
Let -23*b**5 - 58*b**4 + 47*b + 83*b + 106*b**4 - 148*b**3 + 94*b + 24*b**2 + 19*b**5 = 0. What is b?
-1, 0, 2, 4, 7
Let l be 6/(-18) + (6454/(-24))/7. Let m = l - -39. Factor 0*s**2 + 0 - m*s**5 + 1/2*s**3 - 1/4*s + 0*s**4.
-s*(s - 1)**2*(s + 1)**2/4
Let q = 15998 - 15996. Suppose -4/9*t**q - 4/9*t + 0 + 4/9*t**4 + 4/9*t**3 = 0. Calculate t.
-1, 0, 1
Let r(k) = -k**2 - k + 2. Suppose 4*g = 20, 0*x - 10 = -3*x - 2*g. Let l be r(x). Find d, given that 2 - 9*d + 0*d - d + 4*d**l + 4*d**2 = 0.
1/4, 1
Let d be 9/6*(76/(-95) + 96/45). Factor 12/17*q**3 + 32/17 + 2/17*q**d - 48/17*q + 2/17*q**4.
2*(q - 1)**2*(q + 4)**2/17
Let s(a) = -3*a**3 - 4*a**2 + a + 7. Let k = 19 + 2. Let v(y) = 1 + 0*y**3 - y**3 + 0*y**3. Let l(d) = k*v(d) - 3*s(d). Solve l(n) = 0 for n.
0, 1/2
Suppose -4*a + 2*j + 32 = 0, -3*j + 2*j = a - 8. Factor 5*p**2 - a*p - 5 - p + 4*p + 5*p**3.
5*(p - 1)*(p + 1)**2
Suppose 108 = -5*n - h + 3, 0 = 5*n - h + 95. Let y be n/(-39) + ((-18)/(-39))/3. Solve -y*t - 2/3*t**4 - 2*t**2 - 2*t**3 + 0 = 0 for t.
-1, 0
Factor -3/2*a**2 + 0*a + 0 - 1/2*a**3.
-a**2*(a + 3)/2
Let z be (-1 - 1/2)/((-2)/8). Factor -z*w**3 + 0*w**2 - 4*w**2 + 416*w**4 - 418*w**4.
-2*w**2*(w + 1)*(w + 2)
Find b such that 107/2*b + 1/4*b**2 + 0 = 0.
-214, 0
Let i = -160 + 154. Let a be 12/27 - (i + (-1596)/(-270)). Suppose 0*m + 2/5*m**4 + 0*m**3 + 0 - a*m**2 +