r m(l).
-3*(14*l - 1)**4
Let c(t) be the first derivative of -t**3/2 + 15*t**2/4 + 14. Determine k so that c(k) = 0.
0, 5
Let r(x) be the first derivative of 1/32*x**4 - 1 + 1/24*x**3 - 5/16*x**2 + 3/8*x. Factor r(c).
(c - 1)**2*(c + 3)/8
Factor -38*x - 71*x**3 + 40*x**2 + 99*x**3 + 3*x**4 - 7*x**4 - 26*x.
-4*x*(x - 8)*(x - 1)*(x + 2)
Let l(v) = -6*v**3 + v**2 - 6*v + 13. Let r(f) = f**3 + f - 2. Suppose 1 + 11 = 2*o. Let z(t) = o*l(t) + 39*r(t). Solve z(d) = 0.
-1, 0
Let g(m) be the third derivative of m**7/70 + m**6/10 + 3*m**5/20 - m**4/2 - 2*m**3 - 79*m**2. Solve g(r) = 0 for r.
-2, -1, 1
Suppose -2*i - 2*c - 47 + 61 = 0, -4*c - 12 = -4*i. Determine d so that -9/2*d**3 + 6*d**2 + 3/2*d**i + 6*d + 0 - 3*d**4 = 0.
-1, 0, 2
Solve 2/3*v**3 - 6*v + 4*v**2 - 28/3 = 0 for v.
-7, -1, 2
Let u be (21/(-35))/(2/13 + 1204/(-728)). Factor 4*c**3 + 24*c - 74/5*c**2 - 72/5 - u*c**4.
-2*(c - 3)**2*(c - 2)**2/5
Let w = -34 + 113. Let d = w + -77. Let 3 + 3/2*v - 3/2*v**d = 0. Calculate v.
-1, 2
Let k(p) be the second derivative of -2*p**6/45 - 22*p**5/15 - 56*p**4/3 - 980*p**3/9 - 686*p**2/3 + 2*p - 39. Factor k(y).
-4*(y + 1)*(y + 7)**3/3
Suppose 5*j = -4*d + 25 - 10, 0 = 5*d - 4*j - 29. Suppose 32*f = d*f + 135. Let 16/3*y**3 - 26/3*y**4 - 4/3*y - 8*y**f + 14/3*y**2 + 0 = 0. Calculate y.
-1, 0, 1/4, 2/3
Determine h, given that -3*h**2 - 2648*h + 2762*h + 0*h**2 = 0.
0, 38
Suppose 2*c + 18 = 24. Find l such that 79*l**2 - 90*l - 110*l - l**3 - 9*l**c + 80 + 6*l**2 = 0.
1/2, 4
Let r(w) = w**3 - 6*w**2 + 8*w - 11. Let a be r(6). Factor -82*d + 39*d + 638 - a*d - 238 + 4*d**2.
4*(d - 10)**2
Let k(j) be the first derivative of -5 - 3/22*j**4 + 0*j + 0*j**2 + 6/11*j**3. Factor k(a).
-6*a**2*(a - 3)/11
Let h(r) = r**2 + 6*r - 69. Let i be h(-12). Factor -2/9*l + 0 + 28/9*l**2 - 98/9*l**i.
-2*l*(7*l - 1)**2/9
Find p such that 3884*p + 206*p**3 - 117 + 6*p**4 - 2955 - 684*p + 1972*p**2 = 0.
-16, -3, 2/3
Suppose 6*g + 160 = -2*g. Let o be (-20)/150 + (g/(-6))/1. Determine w so that -76/5*w**2 + 2/5*w**5 + 10*w**3 - o - 16/5*w**4 + 56/5*w = 0.
1, 2
Let r(q) = -2*q**2 + 9*q - 4. Let f be r(4). Suppose f = -v - 5*c - 25, -v + c - 2*c = 5. Factor -6/5*o + 3/5*o**2 + v.
3*o*(o - 2)/5
Let h(v) be the first derivative of 2*v**5/5 + 2*v**4 + 2*v**3 + 76. Factor h(y).
2*y**2*(y + 1)*(y + 3)
Let m = 73 - 69. Suppose -m*a - 4*i = -2*a + 6, 3*i = a - 12. Let 6/5*n**a + 2/5*n**4 + 2/5*n + 6/5*n**2 + 0 = 0. What is n?
-1, 0
Let v(f) be the third derivative of f**6/780 + f**5/65 - 19*f**4/156 - 8*f**3/13 + 143*f**2. Factor v(k).
2*(k - 3)*(k + 1)*(k + 8)/13
Let v(k) = -38*k**3 - 860*k**2 - 4994*k + 1152. Let l(d) = -d**3 - 2*d**2 - d. Let n(j) = -2*l(j) + v(j). Suppose n(o) = 0. What is o?
-12, 2/9
Let q(o) be the second derivative of -o**7/42 - o**6/15 - o**5/20 - 2*o + 224. Suppose q(b) = 0. Calculate b.
-1, 0
Let -9/4*i**2 + 1/2 - 1/4*i**3 + 3/4*i**4 - 3/4*i = 0. Calculate i.
-1, 1/3, 2
Let m be (-3)/3 - (-1)/((-1)/(-66)). Let k = 65 - m. Suppose k + 1/4*c**2 + 3/4*c = 0. What is c?
-3, 0
Let k(i) be the first derivative of i**4/6 - 16*i**3/3 + 15*i**2 - 44*i/3 + 397. Determine l so that k(l) = 0.
1, 22
Let w(n) be the second derivative of n**5/80 - n**4/3 + 29*n**3/24 - 7*n**2/4 - 3*n. Find d such that w(d) = 0.
1, 14
Let y(r) be the second derivative of r**7/210 - 14*r**6/75 - 3*r**5/5 - r**4/30 + 59*r**3/30 + 3*r**2 + 2*r + 36. Determine z, given that y(z) = 0.
-1, 1, 30
Let f(z) = z - 3. Let m(a) = -a**3 - 4*a**2 + 2*a - 8. Let w be m(-5). Let n be f(w). Factor -3*x**n - x**2 + 5 + 0 - 3*x**3 - x**5 - 5.
-x**2*(x + 1)**3
Determine q so that -2/7*q**2 + 0 + 2/7*q**4 - 2*q + 2*q**3 = 0.
-7, -1, 0, 1
Suppose -2*o + 12 = 2*x, 9 = 5*x + 4*o - 18. Let p(a) be the first derivative of -3*a**5 + 5 + 21/4*a**4 - 21/2*a**2 + 3*a**x + 6*a. Find z such that p(z) = 0.
-1, 2/5, 1
Let d(h) = -h**2 + 15*h + 4. Let o be d(15). Suppose 4 = -o*k + 12. Factor -5*v**2 + 0*v**k + 2*v**2 - v**3 - 2*v**3.
-3*v**2*(v + 1)
Solve -2/5*d**2 - 16928/5 - 368/5*d = 0 for d.
-92
Let c be 4183/1246 + 5/(-2). Determine x, given that 2/7*x**3 + 0 + 0*x - 6/7*x**4 - 2/7*x**5 + c*x**2 = 0.
-3, -1, 0, 1
Let y(v) be the third derivative of v**7/2310 - v**6/1320 - 74*v**2. Factor y(z).
z**3*(z - 1)/11
Let k(j) be the first derivative of j**6/24 - 35*j**4/24 - 5*j**3 - 17*j**2/2 - 31. Let r(m) be the second derivative of k(m). Solve r(s) = 0 for s.
-2, -1, 3
Let m be 2232/28 + -5 - (-4)/14. Let v = m + -149/2. Find a, given that v*a**4 - 1/2*a**2 + 4*a - 2 - 5/2*a**3 + 1/2*a**5 = 0.
-2, 1
Let j(s) be the third derivative of s**5/60 + 11*s**4/24 + 4*s**3 + 329*s**2. Find f such that j(f) = 0.
-8, -3
Factor -2/3*c**3 + 0 + 4/3*c**2 - 2/3*c.
-2*c*(c - 1)**2/3
Let l(z) be the first derivative of z**6/48 - 3*z**5/20 + 7*z**4/16 - 2*z**3/3 + 9*z**2/16 - z/4 + 162. Find q, given that l(q) = 0.
1, 2
Suppose -6*a + 43 = -77. Let t be 148/a + (-25)/5. Factor -12/5 - 3/5*z**2 - t*z.
-3*(z + 2)**2/5
Let s = -17 - -17. Suppose 0 = -4*o - s*o + 28. Factor d - 5 - o*d + 2*d**3 + 1.
2*(d - 2)*(d + 1)**2
Let j = 50 - -17. Let r be -2 + j/21 + 5/(-15). Solve -4/7*w + 0 - r*w**2 - 2/7*w**3 = 0 for w.
-2, -1, 0
Let w(l) be the first derivative of 4/3*l**3 + 0*l - 4*l**2 - 7. Factor w(p).
4*p*(p - 2)
Let d = -3427/2 + 1715. Find k, given that 11/2*k**2 - k**5 + 1/2*k**4 + d*k + 11/2*k**3 + 0 = 0.
-1, -1/2, 0, 3
Let l(w) be the third derivative of w**7/210 - 13*w**6/120 + 11*w**5/30 - 348*w**2. Factor l(y).
y**2*(y - 11)*(y - 2)
Let m(j) = 6*j - 4. Let a be m(3). Factor 4*p**2 - 12*p**3 + a*p + 6 - 2*p**5 + 18*p**4 - 14*p**4 - 14*p**4.
-2*(p - 1)*(p + 1)**3*(p + 3)
Let a = 302/21 + -26/7. Suppose -5*d + 1 = 3*n, -d = -3*n + 2*d + 9. Factor -a - 2/3*g**n - 16/3*g.
-2*(g + 4)**2/3
Let h = 17 - -1. Suppose 14*m - 5*m - h = 0. Suppose m*r**3 - 2/3*r**4 - 2/3*r**2 - 2*r + 4/3 = 0. Calculate r.
-1, 1, 2
Let n(s) be the third derivative of s**8/26880 + s**7/10080 - s**6/2880 - s**5/480 - s**4/12 - 8*s**2. Let a(x) be the second derivative of n(x). Factor a(k).
(k - 1)*(k + 1)**2/4
Let g(t) = -t + 11. Suppose 42 = -3*r + 15. Let q be g(r). Find b such that 27*b + 2 + 4*b**3 + 9*b**2 - 3*b**3 + 5 + q = 0.
-3
Let b(r) be the first derivative of 25/2*r - 27 + 1/6*r**3 + 5/2*r**2. Determine m, given that b(m) = 0.
-5
Let j = -1336 - -2681/2. Find g such that -9/2*g + j*g**3 - 27/8*g**4 + 15/8*g**2 + 3/2 = 0.
-1, 2/3, 1
Let b(f) = -3*f**2 + f - 6. Let t(i) = 7*i + 2. Let j(z) = -3*z - 1. Let y(r) = 5*j(r) + 2*t(r). Let x(s) = -b(s) + 4*y(s). Suppose x(q) = 0. What is q?
2/3, 1
Let c(h) be the first derivative of 2/13*h**2 + 11 - 2/39*h**3 + 0*h. Suppose c(z) = 0. What is z?
0, 2
Suppose 2 = -0*a - a, -2*d + 3*a = -14. Suppose d = 5*s - 6. Factor -14*l**2 + 4*l**4 + 0*l**s - 24*l**3 + 8*l**3 - 4*l - 10*l**4.
-2*l*(l + 1)**2*(3*l + 2)
Let p(g) be the third derivative of -3/2*g**3 - 1/70*g**7 + 32*g**2 - 4/5*g**5 - 23/16*g**4 + 1/224*g**8 + 0*g - 9/40*g**6 + 0. Factor p(o).
3*(o - 6)*(o + 1)**4/2
Let p(g) be the first derivative of 0*g - 1/2*g**2 + 1/6*g**6 + 2/3*g**3 - 9 - 2/5*g**5 + 0*g**4. Suppose p(s) = 0. Calculate s.
-1, 0, 1
Factor 26/7*g**2 + 2/7*g**3 + 0 + 80/7*g.
2*g*(g + 5)*(g + 8)/7
Suppose -3*i + 5 = -25. Suppose 5*s - i = 10. Factor 3*u - 3*u - s*u**2 + 4*u**4.
4*u**2*(u - 1)*(u + 1)
Let i(u) be the first derivative of -14*u**5/5 - 25*u**4/2 + 44*u**3/7 + 704*u**2/7 + 1024*u/7 - 33. Solve i(d) = 0.
-16/7, -1, 2
Let w = -2268/11 - -11351/55. Factor -1/5*x**2 + 6/5 - w*x.
-(x - 2)*(x + 3)/5
Let u(s) = -2*s - 7. Let y be u(-6). Suppose -9 = 2*c - y*c. Factor 4*k**c - 16*k + 43 - 43.
4*k*(k - 2)*(k + 2)
Suppose 8/5*n**4 + 2/5*n - 2/5*n**5 + 12/5 + 0*n**3 - 4*n**2 = 0. What is n?
-1, 1, 2, 3
What is v in v**2 + 729 + 0*v**2 + 2163*v - 2217*v = 0?
27
Let z(m) = -m**2 - 6*m - 1. Let l be 16/72 + (-68)/(-18). Let u(t) = -t**2 - 4 + 3 + t - l*t - 2*t. Let f(w) = 4*u(w) - 3*z(w). Factor f(a).
-(a + 1)**2
Let y(n) be the first derivative of -7/6*n**2 + 2/3*n + 7/12*n**4 - 17 - 2/9*n**3. Solve y(p) = 0.
-1, 2/7, 1
Let p = -2760/29 - -20016/203. Find z, given that 78/7*z**2 - p + 64/7*z - 2*z**4 - 24/7*z**3 = 0.
-3, -1, 2/7, 2
Let u(x) = -x**5 - x**4 + x**3 - x**2 - x. Let a(w) = 7*w**5 - 8*w**4 - 67*w**3 - 48*w**2 + 2*w. Let q(r) = a(r) + 2*u(