p - 2)/5
Let u be 1 + (-7)/3 - -4. Let g be ((-1)/5)/(30/(-400)). Solve -u - 2/3*q**3 + 2/3*q**2 + g*q = 0.
-2, 1, 2
Let x = 1930 - 75263/39. Let z(i) be the first derivative of 0*i - x*i**6 + 2/13*i**2 + 6/13*i**3 - 18/65*i**5 + 1 + 5/26*i**4. Let z(r) = 0. What is r?
-1, -2/7, 0, 1
Let b = -614408/35 + 17550. Let g = b - -33/7. Factor 1/5*t**2 + g*t - 2/5.
(t - 1)*(t + 2)/5
Let n(d) be the first derivative of -d**6/27 + d**4/9 - d**2/9 - 141. Factor n(f).
-2*f*(f - 1)**2*(f + 1)**2/9
Let g(x) = -10*x**2 + 1218*x + 183621. Let u(r) = 6*r**2 - 1216*r - 183620. Let z(y) = -4*g(y) - 6*u(y). What is s in z(s) = 0?
-303
Let v(i) be the second derivative of -1/20*i**6 - 17/40*i**5 + 0*i**2 + 0 - 3/4*i**4 + 2/3*i**3 - 45*i. Determine c so that v(c) = 0.
-4, -2, 0, 1/3
Suppose -3*h - c + 39 = 0, 2*c = 2*h - 6*h + 50. Suppose -3*y + h = 4*y. Factor 2*k + 5*k**2 - 11*k**y - 2*k**3 + 0*k + 6.
-2*(k - 1)*(k + 1)*(k + 3)
Let r(m) = -m**3 + 24*m**2 + 48*m + 108. Let g be r(26). Let w(b) be the second derivative of 4*b**2 + 8/3*b**3 + 0 - 5*b + 1/10*b**5 + 5/6*b**g. Factor w(c).
2*(c + 1)*(c + 2)**2
Let t be (2 - 6)*25/(-20). Suppose -t*f + 24 = f. Suppose 4*y**4 + 4*y**3 - 4*y**5 - 14*y**5 + 10*y**f = 0. What is y?
-2/9, 0, 1
Let x = 1877 - 7499/4. Solve 3/4*z**3 + 3/2*z - x*z**2 + 0 = 0 for z.
0, 1, 2
Let q(s) = -s - 14. Let o be q(-12). Let n be -2 - (o/14 - (1 - -2)). Determine x, given that -n - 8/7*x - 2/7*x**2 = 0.
-2
Let q(z) be the first derivative of -z**3/8 + 9*z**2/16 - 3*z/4 - 110. Factor q(y).
-3*(y - 2)*(y - 1)/8
Let s = 64037 + -2240711/35. Let t = -82/5 + s. Solve 0 - t*b + 2/7*b**2 = 0 for b.
0, 1
Let h(l) = l**3 - 2*l**2 - 8*l + 2. Let t be h(0). Solve -2/7*f**3 + 4/7 - 4/7*f**t + 2/7*f = 0.
-2, -1, 1
Let r(l) be the first derivative of -l**3/15 - 139*l**2/5 - 19321*l/5 + 21. Factor r(u).
-(u + 139)**2/5
Let d(y) be the third derivative of 3/280*y**8 + 8*y**2 + 0*y**3 - 2/75*y**6 - 2/175*y**7 + 0*y + 1/25*y**5 + 0 - 1/60*y**4. Let d(u) = 0. What is u?
-1, 0, 1/3, 1
Let s(v) be the third derivative of 4/3*v**3 + 11*v**2 + 0*v + 0 + 1/120*v**5 + 1/6*v**4. Find d such that s(d) = 0.
-4
Let p be (3 - 21/6)*-4. Let j be (6/(-2) + p)*-9. Factor -3*d**2 - j*d + 11*d + 4*d.
-3*d*(d - 2)
Let v = -1545/7 + 221. Let g(y) be the first derivative of 2/35*y**5 - 2/21*y**3 - 5 + 0*y - v*y**4 + 4/21*y**6 + 0*y**2. Solve g(h) = 0.
-1, -1/4, 0, 1
Let x = -13 - -17. Suppose -x*l + 4 = -2*l. Factor 0*s**2 - 8*s**4 + 2*s**5 - 4*s**l + 12*s**3 + s + s - 4*s**2.
2*s*(s - 1)**4
Let y(o) = 9*o**3 - 33*o**2 + 48*o + 90. Let c(j) = -25*j**3 + 98*j**2 - 145*j - 268. Let z(a) = 3*c(a) + 8*y(a). What is h in z(h) = 0?
-1, 4, 7
Let n(s) be the first derivative of s**6/540 + s**5/135 + s**4/108 - 3*s**2 - 10. Let i(t) be the second derivative of n(t). Factor i(d).
2*d*(d + 1)**2/9
Let 14/11*y**3 - 10/11*y**2 - 4/11*y + 0 = 0. What is y?
-2/7, 0, 1
Determine x, given that x**5 - 21*x**5 - 6*x**5 + 6*x**5 + 13*x**4 + 13*x**3 - 6*x**2 = 0.
-3/4, 0, 2/5, 1
Suppose 3*k = k - 10. Let a = k + 4. Let v(h) = -h**3 - h**2 - h - 1. Let n(f) = 5*f**3 + 4*f**2 + 3*f + 4. Let t(d) = a*n(d) - 4*v(d). Solve t(y) = 0.
-1, 0, 1
Let o be -5*(-1)/(10 + 5). Let 2/3*z**2 - o*z**3 + z + 0 = 0. What is z?
-1, 0, 3
Let i be (0 - 0)*17/34. Factor -5*r + i*r - 6 - 3*r**2 - r - 3*r.
-3*(r + 1)*(r + 2)
Let f = -553/114 - -362/57. Suppose 5*t + 7 = -k + 2, 0 = -2*k + 4*t + 4. Factor 9/2*s**3 - f*s + 0*s**2 + k + 3*s**4.
3*s*(s + 1)**2*(2*s - 1)/2
Let x(z) be the second derivative of z**7/2940 - z**6/315 + z**5/105 - z**3/6 + z. Let w(p) be the second derivative of x(p). Factor w(l).
2*l*(l - 2)**2/7
Let w(b) be the first derivative of -2*b**5/5 + 7*b**4/2 - 10*b**3 + 13*b**2 - 8*b - 10. Let w(o) = 0. What is o?
1, 4
Factor 4*s**2 + 46 + s**4 - 3*s**4 + 28*s**3 + 6*s**4 - 76*s + 10 - 16*s**2.
4*(s - 1)**2*(s + 2)*(s + 7)
Let c(n) = 25*n - 350. Let i be c(14). Let q(a) be the second derivative of 1/4*a**2 + 49/24*a**4 - 3*a - 7/6*a**3 + i. Factor q(s).
(7*s - 1)**2/2
Let b(f) be the second derivative of f**5/20 + 5*f**4/2 - 32*f**3/3 - 620*f. Let b(q) = 0. What is q?
-32, 0, 2
Let t(u) = 8*u**2 + 12*u + 24. Let w(o) = o. Let d(p) = 7*p**2 + 9*p + 23. Let i(q) = -d(q) - 3*w(q). Let f(c) = 6*i(c) + 5*t(c). Factor f(k).
-2*(k + 3)**2
Let n(w) = 3*w**4 - 24*w**3 + 72*w**2 - 96*w + 66. Let b(h) = -2. Let z(x) = 9*b(x) + n(x). Suppose z(p) = 0. What is p?
2
Let o be -14*(-30)/(-3150) + 2/(-6)*-4. Find k such that -2/5*k**5 - 4/5*k**3 + o*k + 2*k**4 - 28/5*k**2 + 18/5 = 0.
-1, 1, 3
Factor -134/5 - 133/5*q + 1/5*q**2.
(q - 134)*(q + 1)/5
Let r be 2/(-6)*(-42)/7. Factor 20/7*l**3 - 12/7*l + 22/7*l**r + 0.
2*l*(2*l + 3)*(5*l - 2)/7
Let x(s) be the third derivative of s**8/13440 - s**7/1120 + s**6/240 - 4*s**5/15 - 5*s**2. Let u(l) be the third derivative of x(l). Factor u(c).
3*(c - 2)*(c - 1)/2
Let x(q) be the first derivative of 1/21*q**3 + 13 - 5/14*q**2 + 4/7*q. Factor x(p).
(p - 4)*(p - 1)/7
Let b = -52 + 56. Suppose 3*q = 2*x + 14, -b*q + 0*x = -5*x - 28. Factor 0*p**q + 0*p + 2/3*p**5 + 0 + 2/3*p**4 - 4/3*p**3.
2*p**3*(p - 1)*(p + 2)/3
Let a = -12611 - -12613. What is c in 6/5*c**3 - 4*c**a + 12/5 + 2/5*c = 0?
-2/3, 1, 3
Let k be (8 + -14)*(0 - -1). Let i be 24/16 + k/4. Find x, given that x**3 + 0*x - x + i*x**3 = 0.
-1, 0, 1
Let z(l) be the first derivative of l**4/20 + 2*l**3/5 - 37*l**2/10 + 6*l - 264. Factor z(d).
(d - 3)*(d - 1)*(d + 10)/5
Suppose -6 = -60*i + 114. Factor -2/7*f**3 - 2/7*f**i + 0 + 0*f.
-2*f**2*(f + 1)/7
Let q(o) = 3*o - 3. Let l be q(3). Find p, given that 3 + 98*p - 3*p**4 - l*p**4 + 42*p**3 + 6*p**2 - 27*p**5 - 113*p = 0.
-1, 1/3, 1
Let r(g) be the first derivative of 16*g + 1/3*g**3 - 4*g**2 + 1. Factor r(k).
(k - 4)**2
Let 208*q**4 - 147*q**5 + 170*q**4 + 108*q**2 - 18*q - 327*q**3 + 6*q = 0. What is q?
0, 2/7, 1
Let o(k) = 10*k**2 - 35*k + 45. Let p(n) = -5*n**2 + 17*n - 23. Suppose 0*t = 5*t - 75. Suppose 20 = q + t. Let v(r) = q*p(r) + 3*o(r). Solve v(d) = 0.
2
Let t(a) = -a**3 + 4*a**2 + 4*a + 7. Let q be t(-3). Let c = q - 58. Solve -4/3*r + 10/3*r**2 + c - 4/3*r**4 - 2/3*r**3 = 0 for r.
-2, 0, 1/2, 1
Factor -175*i + 4*i**3 + 172*i - 20*i**3 - 18 + i**3 + 36*i**2.
-3*(i - 2)*(i - 1)*(5*i + 3)
Let c(i) be the third derivative of i**8/4480 - i**7/420 + i**4/3 - 11*i**2. Let s(y) be the second derivative of c(y). Factor s(l).
3*l**2*(l - 4)/2
Let l(p) be the third derivative of -p**7/3360 + p**5/120 + 10*p**3 + p**2 - 17. Let h(z) be the first derivative of l(z). Find m such that h(m) = 0.
-2, 0, 2
Let j(a) = a**2 + 5*a + 4. Let q be j(-4). Let b be (4/10)/(3 + 28/(-20)). Factor 1/4*i**4 + 0*i**2 - b*i**5 + 0*i + 0 + q*i**3.
-i**4*(i - 1)/4
Let b be (-15 + 31)*1/24*3. Factor -b*f**3 + 0*f + 1/4 - 3/4*f**4 - 3/2*f**2.
-(f + 1)**3*(3*f - 1)/4
Suppose -3*u - 8 = 2*h, -4*u = -2*h - 3*h - 20. Factor -6*n**4 + 0*n**2 + 14/3*n**5 + u + 4/3*n**3 + 0*n.
2*n**3*(n - 1)*(7*n - 2)/3
Let c = 42/19 - 279/152. What is o in -3/8*o - c*o**2 - 1/8 - 1/8*o**3 = 0?
-1
Let y(g) be the first derivative of -1/3*g**3 - g + 24 - g**2. Factor y(j).
-(j + 1)**2
Let g(c) be the first derivative of -2/3*c**3 + 6 + 6*c + 2*c**2. What is y in g(y) = 0?
-1, 3
Let n(l) = -2*l**3 - 2*l - 2. Suppose 8*v = 7*v - 1. Let c be n(v). Let 0*m + 0 + 2*m**5 - 4/3*m**3 + 0*m**c + 2/3*m**4 = 0. What is m?
-1, 0, 2/3
Let u(d) = -14*d**3 + 101*d**2 + 414*d - 11. Let a(j) = 4*j**3 - 25*j**2 - 104*j + 3. Let r(v) = -22*a(v) - 6*u(v). Factor r(y).
-4*y*(y + 7)**2
Let u(w) = w**3 + 26*w**2 + 20*w - 125. Let x be u(-25). Factor -t + 1/2*t**2 + x + t**3 - 1/2*t**4.
-t*(t - 2)*(t - 1)*(t + 1)/2
Factor 65/2*n**3 + 5/2*n**5 + 15*n**4 + 30*n**2 + 10*n + 0.
5*n*(n + 1)**2*(n + 2)**2/2
Let u(t) = -450*t**2 - 7*t**4 - 5*t**5 - 4*t**4 + 466*t**2 + 4*t + 4. Let z(b) = 5*b**5 + 10*b**4 - 15*b**2 - 5*b - 5. Let k(n) = -5*u(n) - 4*z(n). Factor k(l).
5*l**2*(l - 1)*(l + 2)**2
Find k, given that 2/5*k**2 - 14/5*k**3 + 14/5*k - 2/5*k**4 + 0 = 0.
-7, -1, 0, 1
Let q be (-2 - -1) + (-9)/(-4). Let b = 2337 + -4673/2. Let -b + 7/4*c**2 - q*c = 0. Calculate c.
-2/7, 1
Suppose 3*v = 3*y, -5*y + 3*v + 40 = 6*v. Suppose 3*m = 8*m - y. Factor w**2 + 2 - 2 - m.
(w - 1)*(w + 1)
Let f(n) be the second derivative of -n**8/11200 + n**4/2 + 21*n. Let p