/35 + 4*b**6/15 + 2*b**5/15 - 3*b**4/2 + 8*b**3/3 + 35*b**2. Factor l(a).
4*(a - 4)*(a - 1)**3*(a + 1)
Suppose 2*y - 3 = y. Let m(r) be the first derivative of -8/3*r**y - 2*r + 5*r**2 + 3. Suppose m(c) = 0. What is c?
1/4, 1
Let g(h) be the third derivative of 0 - 1/30*h**5 + 0*h + 0*h**6 + 0*h**4 - h**2 + 0*h**3 + 1/105*h**7. Factor g(p).
2*p**2*(p - 1)*(p + 1)
Let z = -3275/42 - -78. Let y(f) be the second derivative of 1/70*f**5 + z*f**4 + 0 - 1/7*f**2 - 1/21*f**3 + f. Factor y(p).
2*(p - 1)*(p + 1)**2/7
Suppose -2*a + 0 = -3*g + 4, -2*a = -5*g + 12. Factor 3 + 6*n - n**4 + 2*n**a + 0*n - 6*n**3 - 12*n**2 + 8*n**4.
3*(n - 1)**2*(n + 1)*(3*n + 1)
Let n(z) be the second derivative of -z**5/150 + 2*z**4/45 - z**3/15 + 57*z. Factor n(a).
-2*a*(a - 3)*(a - 1)/15
Let z(q) = q**3 - 6*q**2 + 3*q - 18. Let v be z(6). Factor 0*w - 3/2*w**4 - 3/2*w**5 + 3/2*w**3 + v + 3/2*w**2.
-3*w**2*(w - 1)*(w + 1)**2/2
Let v**2 - 3*v**2 + 0*v**3 - 11 + 13 - v + v**3 = 0. Calculate v.
-1, 1, 2
Let r(w) = 4*w**3 + 2*w**2 + 8*w. Let n(p) = 5*p**3 + 2*p**2 + 9*p. Let c(i) = 5*n(i) - 6*r(i). Solve c(y) = 0.
-1, 0, 3
Let p = -36 + 38. Let u(h) be the second derivative of 0 - h - h**p + 2/3*h**3 - 1/6*h**4. Solve u(f) = 0 for f.
1
Let x(z) be the third derivative of 1/24*z**5 + 3*z**2 - 1/420*z**7 + 0*z**3 + 0*z + 1/24*z**4 + 1/80*z**6 - 1/672*z**8 + 0. Find q such that x(q) = 0.
-1, 0, 2
Let m(d) = d**2 - d. Let b(l) = l**3 + 8*l**2. Let g be -2 + 0/1 - -1. Let n(w) = g*b(w) + 4*m(w). Factor n(i).
-i*(i + 2)**2
Determine r, given that -1/4*r**4 + 1/4*r**2 - 1/2*r + 1/2*r**3 + 0 = 0.
-1, 0, 1, 2
Let h(z) be the third derivative of -z**8/7 - 4*z**7/35 + 23*z**6/40 + 7*z**5/20 - 7*z**4/8 + z**3/2 - 11*z**2. Let h(v) = 0. What is v?
-1, 1/4, 1
Let o(s) be the second derivative of s**6/105 + s**5/35 + s**4/42 - 5*s. Factor o(n).
2*n**2*(n + 1)**2/7
Let j(z) be the first derivative of z**4/36 + 2*z**3/9 + 2*z**2/3 - 4*z - 2. Let o(r) be the first derivative of j(r). Factor o(b).
(b + 2)**2/3
Let r be 6*(-396)/(-27)*1/14. Determine t so that -34/7*t**4 - 8/7*t**5 - 2/7 - r*t**2 - 16/7*t - 8*t**3 = 0.
-1, -1/4
Suppose 21 = -5*q + 91. Suppose -x + q = 3*j - 3*x, 16 = -4*x. Factor -2*t**4 - t**j + 2*t**2 + t**4 - t**5 + t**3.
-t**2*(t - 1)*(t + 1)**2
Let m(f) be the first derivative of f**4 + 8*f**3/3 + 2*f**2 - 14. Determine g so that m(g) = 0.
-1, 0
Let m be (-168)/(-135)*4/7. Let s = 10/9 - m. Suppose 0*y + s - 2/5*y**2 = 0. What is y?
-1, 1
Let a(m) be the second derivative of 0 - 1/14*m**7 + 0*m**5 + 2*m + 0*m**4 + 1/10*m**6 + 0*m**2 + 0*m**3. Determine p so that a(p) = 0.
0, 1
Let n(i) be the third derivative of 5*i**8/84 - 2*i**7/15 - 13*i**6/30 + 11*i**5/15 + 4*i**4/3 - 8*i**3/3 - 10*i**2. Solve n(x) = 0.
-1, 2/5, 1, 2
Let c(y) = y**2 + 11*y + 10. Let n be c(-10). Let b(r) be the second derivative of 2*r**2 + 5/6*r**4 - 7/3*r**3 + n - r. What is d in b(d) = 0?
2/5, 1
Suppose -5*g + 2*n = -g - 184, 0 = 4*g + 4*n - 172. Suppose 0 = 4*f + g - 57. Let 0*z - 1/4*z**5 + 1/4*z**4 + 0 - 1/4*z**2 + 1/4*z**f = 0. Calculate z.
-1, 0, 1
Let p(l) be the first derivative of l**8/2520 - l**7/630 + l**6/540 - 2*l**3/3 + 2. Let y(n) be the third derivative of p(n). Determine o so that y(o) = 0.
0, 1
Let q(a) = a**3 - 72*a**2 - 133*a - 67. Let g(j) = -24*j**2 - 44*j - 22. Let u(v) = -14*g(v) + 4*q(v). Determine r so that u(r) = 0.
-10, -1
Let y(l) = -l**2 + 7*l - 5. Suppose 0 = -5*g + 26 - 1. Let j be y(g). Determine a so that 4*a**4 + 30/7*a**j + 6/7*a - 36/7*a**3 + 4/7 - 32/7*a**2 = 0.
-1, -1/3, 2/5, 1
Let l(o) be the first derivative of 3 - 1/9*o**3 + 1/6*o**2 + 2/3*o. Let l(d) = 0. Calculate d.
-1, 2
Let a(s) = -3*s**2 + 2*s + 3. Let d be a(3). Let b be -2 - -2 - d/15. Suppose -6/5*w**2 + b*w**3 + 0 + 2/5*w - 2/5*w**4 = 0. What is w?
0, 1
Let z(u) = u**2 + 9*u + 8. Let m be z(-7). Let k be (-8)/m*(-12)/(-8). Factor 2*p**2 - 3*p**2 - p**2 + k*p**3.
2*p**2*(p - 1)
Let l(q) be the third derivative of q**5/12 - 25*q**4/24 - 3*q**2 - q. Factor l(p).
5*p*(p - 5)
Let p be ((3 + -3)/(-1))/(-2). Suppose -4*d**2 + 0*d + p*d**3 - d - d**3 - 3*d = 0. Calculate d.
-2, 0
Let t be 42*(1 + 8/(-12)). Find k, given that 10*k**2 + 12*k**2 + 4*k**3 - t*k**2 + 4*k = 0.
-1, 0
Let u(f) be the third derivative of -f**7/70 + f**6/20 + 3*f**5/20 - 8*f**2. Factor u(y).
-3*y**2*(y - 3)*(y + 1)
Let l(g) = g**3 + 9*g**2 + 9*g + 10. Let o be l(-8). Suppose y = -r + 4, -y + 0*y + 6 = o*r. Determine n, given that n**y + 0 + 1/2*n + 1/2*n**3 = 0.
-1, 0
Let f(j) = j**2 + 4*j - 7. Let g be f(-6). Find x, given that 7 + x**2 - 3 - g = 0.
-1, 1
Let m(g) = g**4. Let b(d) = -2*d**5 - 11*d**4 - 50*d**3. Let p(c) = 2*b(c) - 18*m(c). What is j in p(j) = 0?
-5, 0
Let y(h) = -h**3 - 2*h**2 - 3*h - 3. Let w be y(-2). Determine r so that 21*r**2 - 19*r**2 - 5*r**4 - 2*r + 2*r**w + 3*r**4 = 0.
-1, 0, 1
Let t(d) be the first derivative of 2*d**5/25 - d**4/5 + 2*d**2/5 - 2*d/5 - 3. Factor t(r).
2*(r - 1)**3*(r + 1)/5
Let n(d) be the first derivative of 0*d - 2/3*d**2 - 1 - 10/9*d**3. Find h, given that n(h) = 0.
-2/5, 0
Suppose -5*q - 5 = 5*d, -q - 3*d + 6*d = -11. Suppose 3*z = -q*r, 2*r - 6 - 10 = 5*z. Factor -5*c**r + 4*c**3 + 5*c**2 - 4*c**2.
-c**2*(c - 1)
Let t(h) be the third derivative of -h**6/60 - h**5/30 + h**4/12 + h**3/3 - 20*h**2. Find j, given that t(j) = 0.
-1, 1
Let s be ((-10)/4 - -3)*4. Suppose 2*k - 3 - s = t, t + 5 = -3*k. Determine a, given that -1/2*a + k + 0*a**2 + 1/2*a**3 = 0.
-1, 0, 1
Let i(m) be the third derivative of 2/15*m**5 + 1/105*m**7 + 0*m + 2*m**2 + 0 + 1/15*m**6 + 0*m**3 + 0*m**4. Solve i(k) = 0.
-2, 0
Let f be 67 + -66 - (1 - 12/7). What is o in -2/7*o**5 - 2/7*o + 0 - f*o**3 + 8/7*o**2 + 8/7*o**4 = 0?
0, 1
Let i(z) be the third derivative of z**6/720 + z**3/3 - z**2. Let l(v) be the first derivative of i(v). Solve l(d) = 0.
0
Let b(f) be the second derivative of f**8/26880 + f**7/10080 - f**6/1440 + f**4/4 - 2*f. Let t(r) be the third derivative of b(r). Factor t(h).
h*(h - 1)*(h + 2)/4
Let y(s) be the second derivative of 1/48*s**4 + 1/80*s**5 + 3*s + 0*s**2 + 0 - 1/24*s**3 - 1/120*s**6. Factor y(v).
-v*(v - 1)**2*(v + 1)/4
Factor -1/5*w**3 + 0 - 1/5*w**2 + 1/5*w**4 + 1/5*w.
w*(w - 1)**2*(w + 1)/5
Let y = 16 - 8. Let p = 11 - y. What is u in 0 + 0 - 2*u**p + 2*u + 0*u = 0?
-1, 0, 1
Let x(p) = p**2 - 18*p + 17. Let d be x(17). Factor -2/3*l**3 - 2/9*l**5 + 2/9*l**2 + d*l + 2/3*l**4 + 0.
-2*l**2*(l - 1)**3/9
Let v = -39/2 - 12. Let j = -31 - v. Find m, given that 1 + j*m**2 - 3/2*m = 0.
1, 2
Let o(j) be the third derivative of -j**5/60 - 5*j**4/12 - 25*j**3/6 + 6*j**2. Factor o(c).
-(c + 5)**2
Suppose 9*h - 7*h = 0. Let k be ((-3)/(-4) - 1) + (-1)/(-4). Solve h - 3/4*y + k*y**3 - 3/2*y**4 + 3/2*y**2 + 3/4*y**5 = 0 for y.
-1, 0, 1
Let g be 4 - (4 - (4 + -2)). Let w be 0/2 - 3/(-9). Factor 0*h**g + 0 + 0*h + 1/3*h**3 - w*h**4.
-h**3*(h - 1)/3
Let a(w) be the second derivative of 7*w**7/12 + 91*w**6/60 + 51*w**5/40 + 3*w**4/8 + 3*w. Find i, given that a(i) = 0.
-1, -3/7, 0
Find i such that -16/7*i**2 + 4/7*i**4 - 4/7 - 4/7*i**3 + 2/7*i**5 - 2*i = 0.
-1, 2
Let u(a) be the first derivative of a**8/4200 - a**6/450 + a**4/60 - a**3 + 4. Let r(l) be the third derivative of u(l). What is g in r(g) = 0?
-1, 1
Suppose -6*i + 3*i - 24 = 3*t, -5*t = -i + 22. Let o be i + 6 + 38/(-14). Determine j, given that -o*j + 8/7*j**4 + 0 + 8/7*j**2 - 2/7*j**5 - 12/7*j**3 = 0.
0, 1
Let i(r) = r**2 - r - 5. Suppose -3*u = q + 5, 0*u + 3*q + 3 = -3*u. Let v(m) = -4 + 5 + 22*m**2 - 23*m**2. Let n(y) = u*i(y) - 10*v(y). Factor n(t).
2*t*(4*t + 1)
Find x such that 3/7*x**2 + 9/7*x + 0 = 0.
-3, 0
Let d(p) be the third derivative of -p**8/1344 + p**6/480 - 2*p**2. Let d(b) = 0. What is b?
-1, 0, 1
Let m = -17 - -3. Let u be (-2)/(-3) + m/(-6). Factor -u*h**3 + h - 8*h**4 - 4*h**3 - 3*h**5 + h**3.
-h*(h + 1)**3*(3*h - 1)
Let l be 4/(-2 + (-32)/(-12)). Factor -2*c + l*c**4 - 2*c**5 + 2*c**2 - 14*c**4 - 10*c**2 - 12*c**3.
-2*c*(c + 1)**4
Let n = 17 - 13. Let l be 0*4*n/16. What is r in -6/5*r**3 - 2/5*r + l - 6/5*r**2 - 2/5*r**4 = 0?
-1, 0
Let t(d) = d**3 + 6*d**2 + 4*d - 5. Let y be t(-5). Suppose 2*b - 1 - 3 = y. Determine j so that 2*j**2 - 4*j + j**2 - j**b = 0.
0, 2
Let o be 0 - 1*(-4)/96. Let r(u) be the third derivati