r y(u).
2*u**2*(u - 4)*(u + 1)/9
Let i(f) be the third derivative of f**9/30240 - f**8/5040 + 5*f**5/12 + 10*f**2. Let g(b) be the third derivative of i(b). Factor g(h).
2*h**2*(h - 2)
Let l(o) be the first derivative of -o**6/2 + 3*o**5 - 27*o**4/4 + 7*o**3 - 3*o**2 - 32. Factor l(n).
-3*n*(n - 2)*(n - 1)**3
Let w = -6187 - -44466/7. Let i = -165 + w. Factor 0*r**2 + 0 - i*r**4 + 0*r + 4/7*r**3.
-2*r**3*(r - 2)/7
Let f be (12/8 + 78/(-36))*-3. Suppose z - 2*z + 2 = 0. Suppose -7 + 3*d**2 - z*d**f + 6 = 0. What is d?
-1, 1
Let -680/9*n**2 + 4/9*n**3 - 6272 + 9856/3*n = 0. Calculate n.
2, 84
Let n(p) = 12*p**5 - 14*p**4 - 5*p. Let w(t) = -12*t**5 + 12*t**4 + 4*t. Let b(m) = 4*n(m) + 5*w(m). Factor b(q).
-4*q**4*(3*q - 1)
Let k(c) = 12*c**2 + 1665*c - 73949. Let p(w) = -7*w**2 - 830*w + 36974. Let i(a) = 6*k(a) + 11*p(a). Determine r, given that i(r) = 0.
86
Suppose 2 = -3*m + 4*m. Find b such that 1 + 6*b - 9*b**m - 6*b**2 - 1 = 0.
0, 2/5
Let g(b) = -20*b**4 - 32*b**3 - 6*b**2 - 10*b. Let a(v) = -7*v**4 - 11*v**3 - 2*v**2 - 4*v. Let s(u) = 17*a(u) - 6*g(u). Let s(k) = 0. Calculate k.
-4, -2, 0, 1
Suppose -15*h + 5*h + 20 = 0. Factor -16*o + 4*o**4 + 7 - 16*o**3 + 675*o**h - 3 - 651*o**2.
4*(o - 1)**4
Suppose -3*o + 160 = 154. Let u(t) be the first derivative of -6 + 2/7*t - 5/7*t**o + 2/7*t**3 + 9/14*t**4. Factor u(f).
2*(f + 1)*(3*f - 1)**2/7
Let s(p) be the third derivative of p**5/450 + p**4/30 - 16*p**3/45 + 35*p**2. Solve s(u) = 0 for u.
-8, 2
Let w(i) be the first derivative of 1/4*i + 3/4*i**3 + 1/4*i**4 - 57 + 3/4*i**2. Solve w(c) = 0 for c.
-1, -1/4
Factor -2/13*l**2 + 62/13*l + 132/13.
-2*(l - 33)*(l + 2)/13
Suppose 6/19*s**3 + 32/19*s**2 + 24/19*s + 0 - 2/19*s**4 = 0. What is s?
-2, -1, 0, 6
Let l(v) = 2 - 9 + v + 0*v + 5. Let b be l(2). Factor 2/3*q**2 + b - 2/3*q.
2*q*(q - 1)/3
Let q = 435 - -16. Factor -4*a + q*a**2 + a**3 - 451*a**2.
a*(a - 2)*(a + 2)
Let x(m) = m**2 - 7. Let s be x(-3). Solve 3 - 10 - 9*z**2 + 10*z**s - 6*z = 0 for z.
-1, 7
Factor 2/3*h**2 + 10/3*h + 8/3.
2*(h + 1)*(h + 4)/3
Let d(c) be the second derivative of 1/6*c**3 + 0 + 10*c + 1/24*c**4 + 0*c**2. Solve d(m) = 0.
-2, 0
Let r = 21 - 21. Let p be r/(-6)*(-2)/4. Factor p - 4/11*v + 2/11*v**3 - 2/11*v**2.
2*v*(v - 2)*(v + 1)/11
Let x be (20/25)/((-574)/(-205)). Let 2/21*y**4 + 0*y - x*y**2 + 0 + 4/21*y**3 = 0. Calculate y.
-3, 0, 1
Let p(w) = -2*w**2 - 3*w + 3. Let r(m) = -3*m**2 - 5*m + 5. Let s be (-1)/((-60)/(-16) + -4) + -14. Let g(x) = s*p(x) + 6*r(x). Solve g(a) = 0 for a.
0
Let d = 14434 + -187638/13. Let 16/13*s - d*s**3 - 6/13 - 6/13*s**2 = 0. Calculate s.
-3, 1/2, 1
Let v = 6 - 10. Let w = 13 + v. Determine y, given that -21*y**3 + 6*y**4 - w*y**5 + y**2 - 7*y**2 + 30*y**5 = 0.
-1, -2/7, 0, 1
Let j(g) = -38*g**4 + 154*g**3 - 142*g**2 + 24*g. Let w(y) = -153*y**4 + 617*y**3 - 569*y**2 + 96*y. Let r(k) = -9*j(k) + 2*w(k). Find c, given that r(c) = 0.
0, 2/9, 1, 3
Let o(s) be the first derivative of -4/9*s**2 + 2/3*s + 2/27*s**3 - 1. Factor o(c).
2*(c - 3)*(c - 1)/9
Let a(k) be the third derivative of 0 + 0*k + 1/96*k**6 - 21*k**2 + 1/96*k**4 - 1/30*k**5 + 1/12*k**3. Suppose a(d) = 0. Calculate d.
-2/5, 1
Suppose -109*m**3 + 170*m**2 + 390*m**2 - 32*m**3 + 72 - 259*m**3 + 444*m = 0. Calculate m.
-3/10, 2
Let z(r) be the third derivative of r**8/840 + r**7/105 + r**6/50 - r**5/75 - 7*r**4/60 - r**3/5 - r**2 + 3. Solve z(h) = 0 for h.
-3, -1, 1
Let h(i) be the first derivative of i**4/4 + 7*i**3/4 + 21*i**2/8 + i + 67. Factor h(w).
(w + 1)*(w + 4)*(4*w + 1)/4
Let x(m) = -5*m**2 + 64*m - 48. Let w be x(12). Find v, given that -1/3*v**5 - 1/3*v**3 + 2/3*v**4 + 0 + w*v**2 + 0*v = 0.
0, 1
Find i, given that 6829*i**3 + 204800 - 1085*i**4 - 120675*i + 3548*i**3 + 25*i**5 - 388765*i - 11680*i**2 + 3253*i**3 = 0.
-5, 2/5, 16
Let j be 4 - -5*(-4)/(-15). Determine l so that 8/3*l + 0 + 2*l**3 + j*l**2 - 4/3*l**4 - 2/3*l**5 = 0.
-2, -1, 0, 2
Suppose 40 = 82*k - 72*k. Let f(q) be the third derivative of 9*q**2 - 8/33*q**3 + 1/55*q**5 + 0*q - 1/33*q**k + 1/660*q**6 - 1/1155*q**7 + 0. Solve f(h) = 0.
-2, -1, 2
Let w(t) = 347*t - 1735. Let f be w(5). Factor 1/3*u**2 - 1/3 + f*u.
(u - 1)*(u + 1)/3
Let a(c) = c + 14. Suppose -5*m - 10 = 0, 3*y - m - m = -26. Let l be a(y). Suppose -3*b**2 + 2*b**l - 2*b**2 + 4*b**3 - b**2 + 8 + 5*b - 13*b = 0. Calculate b.
-2, 1
Let o = 68 - 59. Let t be ((-1)/2)/(o/(-90)). Let 2/5*l**t + 0*l**3 + 4/5*l**4 - 2/5*l - 4/5*l**2 + 0 = 0. Calculate l.
-1, 0, 1
Suppose -7*o = -2*o - 25. Suppose -o*d + 0*d + 20 = 0. Factor 9*z**2 + 2 - d*z**2 - 7*z**2 + 6.
-2*(z - 2)*(z + 2)
Let o(r) be the second derivative of r**7/2310 - r**5/660 + 41*r**2/2 - 35*r. Let x(h) be the first derivative of o(h). Determine s, given that x(s) = 0.
-1, 0, 1
Suppose -4*z = -p - 12, 2*z - 7*p = -2*p - 12. Suppose -3*y + z*o + 2 = 0, -4*y + 3*o = -0 - 5. Solve 2/5 + 2/5*q**y - 4/5*q = 0.
1
Let g(n) be the third derivative of n**6/24 + 7*n**5/12 - 85*n**4/24 + 15*n**3/2 + 669*n**2. Factor g(j).
5*(j - 1)**2*(j + 9)
Let f(h) be the first derivative of -9*h**8/56 - 3*h**7/70 + 7*h**6/10 - 3*h**5/5 + 4*h**2 - 5. Let b(m) be the second derivative of f(m). Solve b(c) = 0 for c.
-3/2, 0, 2/3
Let i(h) be the first derivative of -h**4/6 + 16*h**3/9 + 11*h**2/3 - 12*h - 370. Factor i(x).
-2*(x - 9)*(x - 1)*(x + 2)/3
Let r(f) be the third derivative of f**6/1080 + f**5/540 - f**4/36 - 51*f**2. Factor r(x).
x*(x - 2)*(x + 3)/9
Let i be 10*((-28)/(-8) - 3). Suppose i*k**3 - 11*k**4 + 25*k**4 + k**5 - 10*k**4 + 2*k**2 = 0. What is k?
-2, -1, 0
Let y(g) be the third derivative of g**7/672 + g**6/480 - 3*g**5/160 + 7*g**4/24 - 2*g**2. Let r(f) be the second derivative of y(f). Factor r(w).
3*(w + 1)*(5*w - 3)/4
Let f be (-3)/(135/(-12))*(-19 + 1025/50). Factor 2/5 - 6/5*g - f*g**3 + 6/5*g**2.
-2*(g - 1)**3/5
Let j(r) be the second derivative of -r**8/7560 + 11*r**7/3780 - 2*r**6/135 - r**5/15 + r**3/2 + 7*r. Let t(d) be the second derivative of j(d). Factor t(x).
-2*x*(x - 6)**2*(x + 1)/9
Let c be -6*2/4 + 15 + -10. Let g(q) be the second derivative of 0 + 3/14*q**c + 1/14*q**3 - 5*q - 1/28*q**4 - 3/140*q**5. Determine h so that g(h) = 0.
-1, 1
Let l(v) be the third derivative of v**7/1680 - v**5/80 + 7*v**4/12 - 6*v**2. Let a(z) be the second derivative of l(z). What is g in a(g) = 0?
-1, 1
Let h(n) be the first derivative of n**7/280 + n**6/120 - n**5/40 - n**4/8 - 10*n**3/3 + 9. Let l(z) be the third derivative of h(z). Factor l(u).
3*(u - 1)*(u + 1)**2
Suppose 4 = -y + 2*d, 0 = -5*y + 3*d + 219 - 225. Find n, given that -1/5*n**3 + 0 + y*n + 2/5*n**2 = 0.
0, 2
Suppose 0 = o + 2*z, -o - 6 = z - 5. Let t be 1/((o - -3)/2). Factor -5*q**t + 2*q**2 + 5*q - 2*q.
-3*q*(q - 1)
Let y(h) be the second derivative of h**7/357 + 2*h**6/255 - 3*h**5/170 - 2*h**4/51 + 4*h**3/51 - 184*h. Determine g so that y(g) = 0.
-2, 0, 1
Let g(l) = -4*l - 74*l**3 + 29*l**4 + 60*l**2 + 0*l - 5*l**2. Let q(c) = c**4 - c**3 - c. Let m(s) = g(s) + 6*q(s). What is t in m(t) = 0?
0, 2/7, 1
Let p(x) = 2*x + 2 + 11 + 0 - 2 - 13*x**2. Let u(b) = -2*b**2 - b + 1. Let i(l) = -3*p(l) + 24*u(l). Determine y, given that i(y) = 0.
-3, -1/3
Suppose -6/13*r**3 - 14/13*r**2 + 14/13*r + 6/13 = 0. What is r?
-3, -1/3, 1
Let w(u) be the third derivative of -u**7/42 + u**5/4 - 5*u**4/12 - 10*u**2 + 1. Factor w(p).
-5*p*(p - 1)**2*(p + 2)
Let 0 + 1/6*v**3 - 3*v + 17/6*v**2 = 0. Calculate v.
-18, 0, 1
Let n = -1 - -1. Let o = 2/801 - -791/4005. Suppose -2/5*a + 2/5*a**3 + n*a**2 + o*a**4 - 1/5 = 0. What is a?
-1, 1
Let o(q) be the second derivative of -q**4/66 + 79*q**3/33 - 78*q**2/11 + 483*q. What is c in o(c) = 0?
1, 78
Suppose -8*q + 866 = 842. Let g(n) be the first derivative of -1 - 27/4*n**4 + 15/2*n**2 + q*n**3 + 3*n. Factor g(o).
-3*(o - 1)*(3*o + 1)**2
Suppose -1 = 5*t + 9, -3*p - 4*t = 8. Let n(s) be the third derivative of 1/40*s**6 + p*s + 1/70*s**7 + 4*s**2 - 1/8*s**4 + 0*s**3 + 0 - 1/20*s**5. Factor n(v).
3*v*(v - 1)*(v + 1)**2
Suppose -4*f + 10*f = 5880. Suppose -6*w**2 - 990*w**3 + f*w**3 + 2*w + 2*w = 0. What is w?
-1, 0, 2/5
Let r(l) be the second derivative of 35*l**4/6 + 5*l**3/2 - 154*l + 1. Factor r(s).
5*s*(14*s + 3)
Find s such that 67 - 126 + 4*s**3 + 11 - 32*s + 20*s**2 = 0.
-6, -1, 2
Let t(w) be the 