ivative of r**6/60 - r**4/4 + 2*r**3/3 - 3*r**2/4 + 6*r + 3. Find d such that f(d) = 0.
-3, 1
Suppose 38/9*w + 2/9*w**2 - 40/9 = 0. What is w?
-20, 1
Let x(a) be the second derivative of a**7/28 - 3*a**5/8 + a**3 + 31*a. Suppose x(i) = 0. Calculate i.
-2, -1, 0, 1, 2
Factor 2/3*l**2 - 4/9*l - 2/9*l**3 + 0.
-2*l*(l - 2)*(l - 1)/9
Let v = 18 + -60. Let l = 44 + v. What is m in 2/9*m**3 + 0*m - 2/9*m**5 - 2/9*m**4 + 2/9*m**l + 0 = 0?
-1, 0, 1
Factor -1/4*k**2 - 113/4*k + 0.
-k*(k + 113)/4
Let f(b) = b**2 - 5*b. Let a be f(9). Let o be a/(-390) + (2/5 - 0). Factor 0 - 10/13*i**3 + 0*i - 8/13*i**4 - o*i**2 - 2/13*i**5.
-2*i**2*(i + 1)**2*(i + 2)/13
Let c(p) be the second derivative of p**6/15 + p**5/15 - p**4/3 - 2*p**3/3 - 7*p**2/2 - 18*p. Let y(v) be the first derivative of c(v). Factor y(b).
4*(b - 1)*(b + 1)*(2*b + 1)
Factor -84*h**2 + 19*h**3 - 138*h**2 + 18*h**3 - 41*h**3 + 50*h**2.
-4*h**2*(h + 43)
Suppose 2*f + 1/2*f**3 + 0 + 5/2*f**2 = 0. Calculate f.
-4, -1, 0
Let m(p) be the second derivative of -p**7/14 - 7*p**6/5 + 57*p**5/4 + 909*p. Factor m(s).
-3*s**3*(s - 5)*(s + 19)
Let i be (-348)/1856*2*-8. Factor -3/5*a**2 + 1/5*a**i + 0 + 0*a.
a**2*(a - 3)/5
Let z = -4 + 8. Find f, given that -3*f + 2*f**3 - f**2 - 11*f**3 + 3*f**z + 10*f**2 = 0.
0, 1
Suppose -307*n = -330*n. Let x(q) be the third derivative of 0 - 1/1020*q**6 + 0*q**4 + n*q + 0*q**3 + 4*q**2 - 1/255*q**5. Factor x(d).
-2*d**2*(d + 2)/17
Suppose 0 = 132*f - 70*f - 310. Let 16/7*u**3 - 10*u**f + 0 + 62/7*u**4 - 8/7*u**2 + 0*u = 0. What is u?
-2/5, 0, 2/7, 1
Suppose 2*o + u + 1 = 5*o, 3*o = -5*u + 31. Let w be 2*-4*(-63)/168. Factor 2/3*z**w + 0*z + 2*z**o - 8/3.
2*(z - 1)*(z + 2)**2/3
Let l(g) be the second derivative of 42*g - 7/5*g**5 - 16*g**2 - 6*g**4 + 0 - 2/15*g**6 - 40/3*g**3. Let l(u) = 0. Calculate u.
-2, -1
Let v(u) = u**2 + 13*u + 14. Suppose -z = -3*z - 24. Let m be v(z). Determine x, given that -5*x**m - 8 - 3*x**3 + 13*x**2 - x - x**3 + 5*x = 0.
-1, 1, 2
Let g(z) be the second derivative of -z**6/15 + 9*z**5/10 - 10*z**4/3 + 4*z**3 + 133*z. Factor g(n).
-2*n*(n - 6)*(n - 2)*(n - 1)
Let z(d) be the first derivative of -d**3/5 - 12*d**2/5 - 48*d/5 - 360. Factor z(o).
-3*(o + 4)**2/5
Let s(i) be the second derivative of -i**5/5 + 5*i**4/3 + 4*i**3 + 4*i + 44. Factor s(d).
-4*d*(d - 6)*(d + 1)
Let h(p) be the third derivative of 0 + 4*p**2 + 2/15*p**3 + 7/150*p**5 + 0*p + 3/20*p**4. Factor h(u).
2*(u + 1)*(7*u + 2)/5
Let g(s) be the first derivative of -s**6/6 - 2*s**5/5 + 5*s**4/4 + 2*s**3 + 288. Let g(b) = 0. What is b?
-3, -1, 0, 2
Suppose 511*f = 508*f. Let t(p) be the third derivative of f*p**3 + 4*p**2 + 0 - 2/105*p**7 + 0*p - 1/15*p**5 + 1/15*p**6 + 0*p**4. Factor t(r).
-4*r**2*(r - 1)**2
Factor -3/2*d**2 - 18*d + 0 + 33/2*d**3.
3*d*(d + 1)*(11*d - 12)/2
Let n(a) be the third derivative of -a**9/3780 + 3*a**8/2800 - a**7/700 + a**6/1800 + a**3/2 + 16*a**2. Let x(g) be the first derivative of n(g). Factor x(o).
-o**2*(o - 1)**2*(4*o - 1)/5
Let b(g) be the third derivative of -g**6/80 + 13*g**5/160 - 11*g**4/64 + g**3/8 + 12*g**2. Determine x so that b(x) = 0.
1/4, 1, 2
Let 3/2*f + 3/4*f**4 - 3/4*f**5 + 9/4*f**3 - 15/4*f**2 + 0 = 0. What is f?
-2, 0, 1
Let n(g) = -3*g**4 - 26*g**3 - 27*g**2 + 8. Let w(z) = -2*z**4 - 17*z**3 - 18*z**2 + 5. Suppose -26 = 6*s + 4. Let f(m) = s*n(m) + 8*w(m). Factor f(i).
-i**2*(i + 3)**2
Determine o, given that 1/5*o**4 + 0 + 4/5*o**3 + 0*o - o**2 = 0.
-5, 0, 1
Suppose p + 5 = -3*g + 13, g + 4*p = 10. Solve -2/5*s**g - 2 - 12/5*s = 0 for s.
-5, -1
Find k such that -45*k**5 + 18*k**5 - k**3 - k**2 + 12*k**5 + 16*k**5 + k**4 = 0.
-1, 0, 1
Let f = 160 + -151. Let x be (f/((-90)/(-4)))/((-19)/(-5)). Let -8/19 + 8/19*d - x*d**2 = 0. Calculate d.
2
Let o(w) be the second derivative of -2*w**6/15 + 2*w**5/5 + w**4 - 8*w**3/3 - 8*w**2 - w - 20. Factor o(m).
-4*(m - 2)**2*(m + 1)**2
Suppose -2*k = 4*w + 10, 2*w = -4*k - w - 40. Let h = 53/4 + k. Factor 13/4*q**4 + 15/4*q**3 + 0 + 7/4*q**2 + h*q + q**5.
q*(q + 1)**3*(4*q + 1)/4
Let x(u) be the first derivative of -2*u**3/21 + 17*u**2/7 + 36*u/7 - 378. Factor x(g).
-2*(g - 18)*(g + 1)/7
Suppose 11*z + 66 = 33*z. Factor 0 - 1/3*t**z + 0*t**2 + 0*t - 2/3*t**4 - 1/3*t**5.
-t**3*(t + 1)**2/3
Let x(t) be the first derivative of -4/5*t**2 + 0*t + 2/15*t**3 + 14. Solve x(r) = 0.
0, 4
Suppose -4*o + 1600 = -12*o. Let m = o + 1003/5. Suppose m - 3/5*r**2 + 3/5*r - 3/5*r**3 = 0. What is r?
-1, 1
Let c(l) be the first derivative of -4/7*l + 3/14*l**2 + 15 + 1/21*l**3. Determine b, given that c(b) = 0.
-4, 1
Let i = -49 - -65. Let k = -14 + i. Find q, given that -9/4*q**4 + 27/4*q**k + 3/4*q**3 + 9/4*q - 3/2 = 0.
-1, 1/3, 2
Solve 9*l**3 - 5*l**3 - 109*l**2 - 12*l - 100*l**2 + 5*l**3 + 3*l**5 - 12*l**4 + 221*l**2 = 0 for l.
-1, 0, 1, 2
Suppose -2*z - 15 = 3*i, 0*z + 5*i + 25 = 3*z. Let t be (z + 6)*2/3. Factor -4 + 4 - 12*c**2 + 16*c**4 - c**t - 24*c**3.
3*c**2*(c - 2)*(5*c + 2)
Let s(a) = -3*a**5 - 3*a**4 - 6*a**3 - 33*a**2 + 23*a. Let t(w) = w**5 + w**4 + 3*w**3 + 11*w**2 - 8*w. Let v(c) = -4*s(c) - 11*t(c). Solve v(l) = 0.
-4, 0, 1
Let f(d) = 2*d**2 - 12*d + 12. Let u(y) = -5*y - 4. Let o(v) = v + 1. Let j(w) = -4*o(w) - u(w). Let h(c) = -f(c) - 2*j(c). Find r such that h(r) = 0.
2, 3
Let -8/5 + 34/5*i**2 + 2*i - 36/5*i**3 = 0. Calculate i.
-1/2, 4/9, 1
Factor -5*a**2 + 4 + 1 + 5*a**3 + 24*a - 50*a + 21*a.
5*(a - 1)**2*(a + 1)
Let p(r) = 2*r**3 + 8*r**2 - 2*r - 4. Let s be p(-4). Determine m, given that -10*m**s + 5*m - 18*m + 34*m**3 - 3*m + 40*m**2 - 12*m**2 = 0.
-1, 0, 2/5, 4
Suppose -14*y + 9*y = -170. Suppose -38*f + y*f = 0. Factor 2*r**4 + f*r**2 - 14/5*r**5 + 0*r + 0 + 4/5*r**3.
-2*r**3*(r - 1)*(7*r + 2)/5
Suppose 8*d + 13*d = 3822. Let b be d/228 + (-6)/36. Determine o, given that 2/19*o**4 - 16/19*o + 24/19*o**2 - b*o**3 + 0 = 0.
0, 2
Factor 0 - 1/4*h**2 - 7/4*h.
-h*(h + 7)/4
Let p(q) be the third derivative of -5*q**6/72 + q**5/3 + 5*q**4/6 - 2*q**3/3 + 6*q**2. Let t(o) be the first derivative of p(o). Find a such that t(a) = 0.
-2/5, 2
Let n(h) be the third derivative of -h**6/12 + 22*h**5/5 - 299*h**4/4 + 338*h**3/3 + 4*h**2 + 6. Factor n(c).
-2*(c - 13)**2*(5*c - 2)
Let z be (18/(-12))/(6/(-8)). Suppose 7*a = -4*b + 2*a + 13, 3*b - 5 = a. Factor -7*u + b*u**z + 2*u**3 + 0*u + 7*u.
2*u**2*(u + 1)
Determine d, given that -238*d**5 + 478*d**3 + 408*d**2 + 220*d**5 - 1710*d**3 + 942*d**4 = 0.
0, 2/3, 51
Let t = -41 + 53. Factor t*h + 12*h**2 + 3 - 5*h**2 + 2*h**2.
3*(h + 1)*(3*h + 1)
Let j(i) be the third derivative of -i**6/24 - i**5/2 - 55*i**4/24 - 5*i**3 + 2*i**2. Factor j(s).
-5*(s + 1)*(s + 2)*(s + 3)
Suppose -220 - 320 = -5*w. Let i = w + -108. Find s, given that 1/6*s**2 + i - 1/3*s = 0.
0, 2
Let p be 4/(-6) - 8/(-6). Suppose -48*t = -12 - 84. Factor p*z**t - 2/3*z + 0.
2*z*(z - 1)/3
Let y(w) be the first derivative of w**4/48 - 7*w**3/12 + 49*w**2/8 - 22*w + 8. Let f(p) be the first derivative of y(p). Determine b so that f(b) = 0.
7
Let h = 2329/6 - 388. Let a(r) be the first derivative of 2/3*r**2 - 4/9*r**3 - h*r**6 + 0*r - 19/12*r**4 - 14/15*r**5 + 3. What is d in a(d) = 0?
-2, -1, 0, 1/3
Suppose -30 = -5*k + 3*a, -2*k = -5*a - 44 + 13. Factor -16/3*r + 16/3*r**k - 4/3 + 4/3*r**2.
4*(r - 1)*(r + 1)*(4*r + 1)/3
Let o = -249 - -246. Let d be ((0 + -1)/(o/(-2)))/(-4). Suppose d*u**4 + 1/3*u**2 + u**3 - 1/2 - 5/6*u - 1/6*u**5 = 0. What is u?
-1, 1, 3
Let j(i) = -i - 2. Let a be j(-2). Let f = 100 - 299/3. Let f*o**2 + a*o**3 - 1/3*o**4 + 0 + 0*o = 0. Calculate o.
-1, 0, 1
Factor -12/7*p**3 + 2/7*p**2 + 48/7*p + 32/7 + 2/7*p**4.
2*(p - 4)**2*(p + 1)**2/7
Let g(d) = -4*d**5 - 15*d**4 - 32*d**3 - 11*d**2 - 5*d. Let v(h) = -4*h**5 - 16*h**4 - 32*h**3 - 12*h**2 - 4*h. Let l(b) = -4*g(b) + 5*v(b). Factor l(j).
-4*j**2*(j + 1)*(j + 2)**2
Let o(j) be the third derivative of -j**5/600 + 7*j**4/80 - 9*j**3/10 + 9*j**2 + j. Factor o(u).
-(u - 18)*(u - 3)/10
Let k = 17342/5 - 3466. Let -8/5*w + 4*w**2 + 16/5*w**3 - k = 0. What is w?
-1, 3/4
Let z(w) = 98*w - 185. Let g be z(2). Let o(q) be the first derivative of -5/8*q**4 + 1/5*q**5 + 0*q**2 - g + 0*q + 1/2*q**3. Let o(f) = 0. What is f?
0, 1, 3/2
Let a(t) be the first derivative of 12 - 4/9*t**2 + 2/27*t**3 - 10/9*t. Let a(j) = 0. Calculat