9 - 2/9*v**2.
-2*(v + 1)*(v + 38)/9
Let a(y) be the third derivative of 0*y**3 + 0 + 0*y**4 + 0*y + 1/945*y**7 + 1/270*y**6 + 1/270*y**5 - 4*y**2. Find i, given that a(i) = 0.
-1, 0
Let k = 2533/8528 - -7/656. Factor -4/13*o**2 + 2/13*o - 2/13*o**3 + k.
-2*(o - 1)*(o + 1)*(o + 2)/13
Let a(j) be the third derivative of 0 + 0*j - 1/7*j**3 - 1/420*j**6 - 1/210*j**5 - 8*j**2 + 5/84*j**4. Factor a(t).
-2*(t - 1)**2*(t + 3)/7
Let d(u) be the first derivative of 2/9*u - 1/18*u**2 - 1/27*u**3 + 5. Factor d(w).
-(w - 1)*(w + 2)/9
Let s = 1 - -1. Suppose -x = 3*x - 12. Solve -42*v**s + 21*v**5 + 18*v**4 - 9*v**3 + 2*v**x - 9*v + 18*v**4 + 6 - 5*v**3 = 0 for v.
-1, 2/7, 1
What is g in 18*g + 10773*g**4 - 13*g + 15*g - 25*g**3 - 10773*g**4 + 5*g**5 = 0?
-2, -1, 0, 1, 2
Suppose 13 = 5*a + 3. Factor 14*o**5 + 0*o + 0*o - 12*o**5 + a*o**4.
2*o**4*(o + 1)
Let i(h) be the third derivative of -1/224*h**8 + 3/20*h**5 - 1/105*h**7 + 11/48*h**4 + 0 + 1/6*h**3 + 0*h + 1/30*h**6 - 6*h**2. Let i(t) = 0. What is t?
-1, -1/3, 2
Let s be ((-3)/(-2))/((-26)/(-20) + -1). Factor -13 - s*v**4 + 0*v + 3 + 5*v + 10*v**5 + 35*v**2 - 29*v**3 - 6*v**3.
5*(v - 1)**3*(v + 2)*(2*v + 1)
Let p be 1*(-1 - -2)*5/1. Factor -128 + 20*g + 40*g**2 - g**5 - 50*g**3 - 7*g**p + 140*g + 6*g**5 - 20*g**4.
-2*(g - 1)**2*(g + 4)**3
Let n(p) be the second derivative of p**7/42 - p**6/30 - p**5/5 + p**4/3 + 272*p. Determine d so that n(d) = 0.
-2, 0, 1, 2
Factor 2/9 + 2/9*m**3 + 2/3*m + 2/3*m**2.
2*(m + 1)**3/9
Let k(u) be the second derivative of -u**6/60 + u**5/40 + u**4/24 - u**3/12 + 21*u. Determine x, given that k(x) = 0.
-1, 0, 1
Factor -6/5*i**2 - 3/5*i**4 + 3*i**3 + 0 - 24/5*i.
-3*i*(i - 4)*(i - 2)*(i + 1)/5
Let g(m) = 2*m**2 - m + 1. Let y(p) = -13*p**2 - 15*p - 20. Let q(z) = z**2. Let k(o) = 2*q(o) - y(o). Let n(b) = -5*g(b) + k(b). Factor n(d).
5*(d + 1)*(d + 3)
Let p(q) be the first derivative of -2*q**5/5 - 23*q**4/6 + 8*q**3/3 - 5*q**2 + 28. Let w(i) be the second derivative of p(i). Solve w(y) = 0.
-4, 1/6
Suppose -3*y = 3, -y - 7 = -5*q - 4*y. Suppose -r = 3*w - 36, -q*r = -5*w - 4*r + 61. Factor 2 + w*n + 3*n**2 - 5*n - 6 - 5*n**2.
-2*(n - 2)*(n - 1)
Let y(n) = 8*n**2 + 58*n + 53. Let p(t) = 25*t**2 + 175*t + 160. Let z(h) = 3*p(h) - 10*y(h). Factor z(d).
-5*(d + 1)*(d + 10)
Factor 218*r + 216*r - 5*r**3 - 459*r + 250 - 40*r**2.
-5*(r - 2)*(r + 5)**2
Let a(g) = -11 + 14 - g**2 + 22 - 9*g + 3*g**2. Let h(n) = 2*n**2 - 10*n + 26. Let i(m) = -6*a(m) + 7*h(m). Solve i(q) = 0.
4
Find j, given that 95 - 395/3*j + 115/3*j**2 - 5/3*j**3 = 0.
1, 3, 19
Let x = 100739/13 - 7749. What is r in x*r**3 - 3456/13 - 72/13*r**2 + 864/13*r = 0?
12
Factor -10230*p + p**4 - 20*p**3 - 3*p**4 + 2*p**2 + 10250*p.
-2*p*(p - 1)*(p + 1)*(p + 10)
Suppose -u + 6 = n, n + 12 = 4*u - 2. Factor -1/2*d**4 - 5/2*d + 3/2*d**n + 1/2*d**3 + 1.
-(d - 1)**3*(d + 2)/2
Let t(i) be the second derivative of -7*i**5/90 + 5*i**4/9 - 29*i**3/27 + 2*i**2/3 - 3*i + 2. Solve t(u) = 0 for u.
2/7, 1, 3
Determine l so that -100 + 46*l + 24*l**2 - 5*l - 29*l**2 + 19*l = 0.
2, 10
Let p(l) be the third derivative of 0*l**3 + 7*l**2 + 0*l + 0 - 1/240*l**5 + 11/960*l**6 + 0*l**4 - 1/105*l**7 + 1/384*l**8. Suppose p(g) = 0. Calculate g.
0, 2/7, 1
Solve -1 - 1/5*b**3 - 11/5*b - 7/5*b**2 = 0 for b.
-5, -1
Let v be (-2)/(-4) - (225/18 + -17). Let 0*t**4 - 12/5 + 16/5*t**3 - 14/5*t + 12/5*t**2 - 2/5*t**v = 0. What is t?
-2, -1, 1, 3
Let u(v) = 20*v + 5. Let i be u(5). Let n be 4/(-6)*i/(-14). Factor 14*h**4 - 6*h**4 + 6*h + 12*h**3 + 15*h**2 - n*h**4.
3*h*(h + 1)**2*(h + 2)
Let b = 31853/63 + -3477/7. Let g(r) be the first derivative of 40/3*r**2 + b*r**3 + 2/3*r**5 + 4 + 1/18*r**6 + 10/3*r**4 + 32/3*r. Factor g(l).
(l + 2)**5/3
Suppose 5452*d - 5425*d - 81 = 0. Factor 0*m - 4/11*m**2 - 6/11*m**d + 0 - 2/11*m**4.
-2*m**2*(m + 1)*(m + 2)/11
Suppose -r + 8 = -4. Let 2*g**2 + 10 + 2*g + 24 - r*g - 26 = 0. Calculate g.
1, 4
Let x(i) be the second derivative of 7*i + 2/5*i**3 - 4/5*i**2 + 0 - 1/15*i**4. Find z such that x(z) = 0.
1, 2
Let m(w) = 8*w. Let f be m(1). Let r(x) = x**2. Let t be r(4). Factor -2*u**2 - 4*u + 8 - f - 10*u**4 + t*u**3.
-2*u*(u - 1)**2*(5*u + 2)
Factor 5/2*p**2 + 5/6*p**4 - 25/6*p**3 - 10/3 + 25/6*p.
5*(p - 4)*(p - 1)**2*(p + 1)/6
Suppose 0*z - 8 = z. Let g be z/(-32) - 7/(-4). Determine s so that -3*s**4 + s**4 + 0*s**4 - g*s**3 = 0.
-1, 0
Let j be (-30)/(-70) + 1464/14. Let u = 109 - j. Find m such that -2*m**2 + 0 - 1/2*m**3 + 1/2*m + 2*m**u = 0.
-1, 0, 1/4, 1
Let i(d) = 4*d**2 + 4*d - 2. Let u(a) = -3*a - 2*a - 2*a - 7*a**2 + 4. Suppose -5*n + 7 = -23. Let j(g) = n*u(g) + 10*i(g). Suppose j(p) = 0. What is p?
-2, 1
Let a(h) be the third derivative of -h**5/15 - h**4 - 16*h**3/3 + 54*h**2. Factor a(w).
-4*(w + 2)*(w + 4)
Let d(r) = -r**2 + 8*r + 9. Let a be d(9). Suppose 4*v + a = 12. Factor -5*q**4 - 3*q**3 + 0*q**4 + v*q + 3*q**2 + 2*q**4.
-3*q*(q - 1)*(q + 1)**2
Let v(t) be the first derivative of -3/2*t**2 - 42 - 3*t + 3/4*t**4 + t**3. Factor v(w).
3*(w - 1)*(w + 1)**2
Let v(c) be the first derivative of c**3 + 3*c**2 - 45*c - 101. Suppose v(d) = 0. What is d?
-5, 3
Let l(f) be the third derivative of -5*f**8/168 - 11*f**7/105 - 7*f**6/60 - f**5/30 - 8*f**2. Factor l(i).
-2*i**2*(i + 1)**2*(5*i + 1)
Suppose 139*k - 151*k + 14*k**3 - 8 - 2*k**3 + 8*k**2 = 0. Calculate k.
-1, -2/3, 1
Let x(s) be the third derivative of s**10/75600 + s**9/45360 + s**8/90720 - s**5/15 - 15*s**2. Let o(i) be the third derivative of x(i). Factor o(l).
2*l**2*(3*l + 1)**2/9
Let d(b) be the second derivative of -b**4/6 - 32*b**3/39 - 12*b**2/13 + 75*b + 2. Factor d(a).
-2*(a + 2)*(13*a + 6)/13
Let h(l) be the second derivative of l**5/30 - 19*l**3/9 - 10*l**2 + 152*l + 1. Solve h(b) = 0 for b.
-3, -2, 5
Let a = 83 - 48. Suppose -a + 11 = -3*b. Suppose -b + 3*v**2 + 7 + 1 = 0. What is v?
0
Suppose 58*y - 70*y + 60 = 0. Let r(w) be the second derivative of 1/4*w**y + 2/15*w**6 + 1/12*w**4 + 0*w**2 + 0*w**3 - 7*w + 0. Solve r(m) = 0 for m.
-1, -1/4, 0
Let l(o) be the first derivative of -o**6/36 - 11*o**5/15 - 37*o**4/24 + 32*o**3/9 + 19*o**2/3 - 40*o/3 + 286. Solve l(k) = 0 for k.
-20, -2, 1
Let w be 14/70 + 1/45. Let p(i) be the first derivative of -26/27*i**3 - 4/9*i - 11/9*i**2 - w*i**4 + 5. Factor p(d).
-2*(d + 1)*(d + 2)*(4*d + 1)/9
Let b(i) be the second derivative of -8*i**5/25 - 292*i**4/15 + 59*i**3/3 - 37*i**2/5 - 3*i - 6. What is t in b(t) = 0?
-37, 1/4
Suppose 40*w = 39*w - u, -2*u = 6. Let o(t) be the first derivative of 1/20*t**4 - 1/5*t**3 + 3/10*t**2 + w - 1/5*t. Factor o(g).
(g - 1)**3/5
Let m be (-2)/7 - ((-306)/42 + 1). Let b be (2/8)/(-1 - -2)*m. Find k, given that -b*k**5 + 0*k + 0*k**3 + 0*k**2 + 0 + 3/2*k**4 = 0.
0, 1
Let n = -18 + 19. Let a(p) = n + p - p + 0*p + p. Let s(j) = 12*j**2 + 2*j - 5. Let o(g) = -3*a(g) - s(g). Factor o(x).
-(3*x + 2)*(4*x - 1)
Let f(o) = -o**4 + o - 1. Let r(q) = -q**5 - 2*q**4 + 6*q**3 - 2*q**2 - 4*q + 2. Let a(p) = -4*f(p) + 4*r(p). What is x in a(x) = 0?
-3, -1, 1
Suppose 23853*n = 23851*n + 6. Let p(u) be the third derivative of -u**2 + 0 + 0*u + 1/200*u**6 - 1/40*u**4 + 0*u**n + 0*u**5. Let p(v) = 0. What is v?
-1, 0, 1
Let t(z) = -18*z. Let l be t(-1). Let g be l/4 - (-4)/(-8). Factor 4*a**2 + 9*a**3 - 6 - a**2 + 21*a**g - 18*a**4 - 9*a.
3*(a - 1)*(a + 1)**2*(a + 2)
Let 5/2*p**3 - 4*p + 9*p**2 + 0 = 0. Calculate p.
-4, 0, 2/5
Factor -448/5*n**3 - 2/5*n**5 + 0*n + 512/5*n**2 - 62/5*n**4 + 0.
-2*n**2*(n - 1)*(n + 16)**2/5
Let -3/2*x + x**2 + 0 - x**4 + 4/3*x**3 + 1/6*x**5 = 0. What is x?
-1, 0, 1, 3
Let y(b) be the third derivative of -b**6/90 - b**5/15 - 7*b**3/3 - 12*b**2. Let i(j) be the first derivative of y(j). Find x such that i(x) = 0.
-2, 0
Factor 489*v + v**2 + 13225 - 191*v - 68*v.
(v + 115)**2
Let y be ((-1)/6)/1 + 446/892. Determine c, given that y*c**2 - 1 + 2/3*c = 0.
-3, 1
Let i(u) be the second derivative of 1/42*u**4 + 2*u - 1/21*u**3 - 1/7*u**2 + 0 + 1/70*u**5. Determine o, given that i(o) = 0.
-1, 1
Let p(q) = 4*q**2 + 13*q. Let v be (45/(-27))/(-2 - 15/(-9)). Let l(x) = 5*x**2 + 14*x. Let r(t) = v*l(t) - 6*p(t). Determine b, given that r(b) = 0.
0, 8
Let j = -18760 - -93801/5. Let -2/5*c + j*c**3 + 0 - 1/5*c**2 = 0. What is c?
-1, 0, 2
Let x(f) be the first der