v) be the first derivative of y(v). Factor q(f).
3*(f - 1)**2*(7*f - 2)
Let n(p) be the first derivative of 40*p**3/3 + 85*p**2/2 + 10*p + 300. Find b such that n(b) = 0.
-2, -1/8
Let w(y) = 2*y**4 - y**2 + y + 1. Let z(d) = -3*d**5 - 31*d**4 - 75*d**3 - 79*d**2 - 32*d - 2. Let q(b) = -2*w(b) - z(b). Factor q(g).
3*g*(g + 1)**2*(g + 2)*(g + 5)
Let l = -14359 + 28721/2. Factor l*p - 7/4 + 1/4*p**2.
(p - 1)*(p + 7)/4
Let l be 4/(-30) + 2289/(-5670)*-9. Determine f so that 3/2*f**4 - l*f**2 - 1/2*f**3 + 2 + 1/2*f**5 + 0*f = 0.
-2, -1, 1
Let u(j) = -j - 2. Let y be u(-9). Suppose -y = 5*z - 52. Let 27/2 + z*r + 3/2*r**2 = 0. What is r?
-3
Let 10*d - 1/5*d**2 - 125 = 0. Calculate d.
25
Let r(f) be the third derivative of 0 - 1/525*f**7 + 1/150*f**6 + 0*f + 0*f**3 + 0*f**4 - 24*f**2 - 1/150*f**5. Solve r(u) = 0.
0, 1
Suppose 2*s + 0 = 4. Let r(h) = -10*h**4 + 35*h**2 + 15*h + 5. Let l(o) = 5*o**4 - 17*o**2 - 8*o - 2. Let u(q) = s*r(q) + 5*l(q). Factor u(a).
5*a*(a - 2)*(a + 1)**2
Determine c, given that -1/2*c**3 + 7/2*c**2 - 7/2 + 1/2*c = 0.
-1, 1, 7
Suppose -4*p = -7*p + 6. Let d(t) be the second derivative of -3/2*t**p - 5/2*t**3 + 6*t + 0 - t**4. Factor d(i).
-3*(i + 1)*(4*i + 1)
Let a = 26 - 51/2. Suppose -4*r + 27 = 5*g, 4 + 2 = 4*g - 2*r. Suppose 5/4*d**4 - 1/4*d**g - 5/4*d**2 - a*d + 3/4*d**5 + 0 = 0. Calculate d.
-1, -2/3, 0, 1
Let l(t) be the third derivative of -25/57*t**3 - 1/1995*t**7 + t**2 + 5/19*t**4 + 1/95*t**6 + 0*t - 23/285*t**5 + 0. Factor l(x).
-2*(x - 5)**2*(x - 1)**2/19
Let x(v) = v - 4. Let u(p) = 5*p - 9. Let j be u(3). Let q be x(j). Factor 7 + 5*g - 4*g**4 - 5*g - 12*g**3 - 4*g**q + 12*g + 1.
-4*(g - 1)*(g + 1)**2*(g + 2)
Suppose 5*q + 8 = 2*r + 3*q, 4*r = 3*q + 14. Factor 2*l**r - 447 + 447.
2*l**2
Factor -1/3*p**3 + 0 + 0*p - 1/3*p**4 + 2/3*p**2.
-p**2*(p - 1)*(p + 2)/3
Let t(u) = 5*u**2 - 6*u + 3. Let x(w) = w**2. Let s = 13 - 15. Let f(c) = s*x(c) + t(c). Find n, given that f(n) = 0.
1
Let f(i) = i**3 - 2*i**2 - 9*i - 6. Suppose 84 = -10*v + 24*v. Let t(d) = -2*d**3 + 4*d**2 + 19*d + 13. Let g(w) = v*t(w) + 13*f(w). Let g(k) = 0. Calculate k.
-1, 0, 3
Let o = 2046/21413 - 8/931. Factor -2/23 + 0*t + 4/23*t**2 + 0*t**3 - o*t**4.
-2*(t - 1)**2*(t + 1)**2/23
Let b(v) be the first derivative of -2/15*v**5 - 5/18*v**6 - 14 + 2/3*v**2 + 16/9*v**3 + 5/4*v**4 + 0*v. Solve b(j) = 0 for j.
-1, -2/5, 0, 2
Suppose 0 = -4*x - 4*a + 6*a + 22, -3*a = 5*x. Suppose 3*z + x*z = 12. Determine m so that 4*m**z + 4*m**5 - 3*m**4 - 22*m**3 + 18*m**3 - m**4 = 0.
-1, 0, 1
Let l be 0 - 1419/9 - 0. Let j = -151 - l. Factor -4/3*b**5 - 5*b**4 - j*b**3 + 1/3 - 10/3*b**2 + 0*b.
-(b + 1)**4*(4*b - 1)/3
Let s = -39 - -41. Let f be -1 + 23/12 + 45/(-180). Determine v so that 1/3*v - f + 1/3*v**s = 0.
-2, 1
Let o(u) be the second derivative of u**7/420 - u**6/60 + u**5/24 - u**4/24 + 5*u**2/2 + 4*u. Let j(c) be the first derivative of o(c). Factor j(w).
w*(w - 2)*(w - 1)**2/2
Suppose 14*z - 13*z - 2 = 0. Factor -19 + 3 + 8 + 6*k + z*k**2.
2*(k - 1)*(k + 4)
Let q = 5/108 - -11/54. Let m(h) be the first derivative of h**3 - q*h**4 + 0*h**2 + 3 - 4*h. Let m(k) = 0. Calculate k.
-1, 2
Let v be 8/7 + 384/(-336). Let d(r) = -r**2 + 6*r - 3. Let n be d(5). Find y such that -2/5*y**n + v - 2/5*y = 0.
-1, 0
Let g = 17 - 2. Let a = g - 13. Factor -2/3*r**3 + 0*r + 8/3 - a*r**2.
-2*(r - 1)*(r + 2)**2/3
Let b(j) be the second derivative of 1/2*j**4 - 1/10*j**6 + 14*j + 1/14*j**7 + 1/2*j**3 + 0 - 3/10*j**5 - 3/2*j**2. Solve b(p) = 0 for p.
-1, 1
Let m(a) = a**3 + 26*a**2 + 48*a + 3. Let r = 14 - 38. Let d be m(r). Factor t**4 + 0 + 1/3*t**2 - 1/3*t**5 + 0*t - t**d.
-t**2*(t - 1)**3/3
Let v(d) be the second derivative of d**4/48 + 13*d**3/6 - 2*d + 17. Let v(a) = 0. Calculate a.
-52, 0
Factor 5*z**2 + 0*z**2 - 3*z**2 + 2*z**2 - 4*z.
4*z*(z - 1)
Let l(j) be the third derivative of -1/330*j**6 + 0*j**3 - 18*j**2 + 0*j + 1/66*j**4 + 0 + 1/660*j**5 - 1/2310*j**7. Suppose l(x) = 0. What is x?
-4, -1, 0, 1
Suppose 0*y - 12 = -3*y. Solve 37*u**4 + 9*u**4 - y*u**5 - 6*u**2 - 2*u + 18*u**3 + 28*u**5 = 0 for u.
-1, -1/4, 0, 1/3
Let q(v) be the second derivative of v**9/15120 - v**8/1680 + v**7/630 + v**4/4 + 17*v. Let p(b) be the third derivative of q(b). Let p(m) = 0. What is m?
0, 2
Let m(v) be the third derivative of -13*v**5/75 - 6*v**4/5 - 8*v**3/3 - 292*v**2. Suppose m(q) = 0. Calculate q.
-2, -10/13
Let a be (-1 - (-2)/1) + -11. Let i = a - -19. Let 0*o**2 + 1 + i*o**2 + 6*o**2 + 7*o - 11*o**4 + 13*o**3 + 15*o**4 = 0. What is o?
-1, -1/4
Let i(b) be the second derivative of -5*b**4/4 + 25*b**3/3 - 15*b**2/2 + 30*b. Factor i(h).
-5*(h - 3)*(3*h - 1)
Solve -54/7 + 18/7*i**4 - 54/7*i + 52/7*i**3 + 36/7*i**2 + 2/7*i**5 = 0 for i.
-3, -1, 1
Let s = 11 - 6. Suppose s*x - 4*c - 18 = 0, 0 = -5*x + 2*c - 5*c + 4. What is v in -2*v**x - 125*v + 125*v = 0?
0
Let l(h) be the first derivative of -h**3/6 - 29*h**2/2 + 60*h + 480. Factor l(d).
-(d - 2)*(d + 60)/2
Let r(i) be the first derivative of -48/5*i - 1/5*i**3 + 5 - 12/5*i**2. Factor r(t).
-3*(t + 4)**2/5
Let j(c) be the second derivative of c**6/540 - c**5/45 + 7*c**3/6 + 9*c. Let d(q) be the second derivative of j(q). Factor d(v).
2*v*(v - 4)/3
Let o(u) = 5*u**3 - 145*u**2 - 25*u + 640. Let d(i) = i**3 - 36*i**2 - 6*i + 160. Let l(k) = -25*d(k) + 6*o(k). Factor l(w).
5*(w - 2)*(w + 4)**2
Let q(s) be the third derivative of -s**5/330 + s**4/44 + 6*s**3/11 - 125*s**2. Suppose q(p) = 0. What is p?
-3, 6
Let u(a) be the second derivative of -a**9/18144 - a**8/10080 + a**7/5040 + a**6/2160 - 11*a**3/6 + a. Let s(k) be the second derivative of u(k). Factor s(g).
-g**2*(g - 1)*(g + 1)**2/6
Let u = 298 - 294. Let p(r) be the second derivative of 0 + 3/2*r**2 + 1/3*r**3 + 8*r + 1/36*r**u. What is g in p(g) = 0?
-3
Suppose n - 67 - 23 = 0. Let -n*s**3 + 46*s**3 + 43*s**3 = 0. Calculate s.
0
Let y(m) be the first derivative of 9*m - 1 + 0*m**3 + m**3 - 9*m**2 + 15*m**2. Determine n, given that y(n) = 0.
-3, -1
Let d(x) be the first derivative of -3*x**3 - 519*x**2/2 + 174*x - 123. Factor d(b).
-3*(b + 58)*(3*b - 1)
Let k = 41 + -47. Let j be (2/(-4))/((-2)/((-16)/k)). Factor 0 - 2*q + 8/3*q**2 - j*q**3.
-2*q*(q - 3)*(q - 1)/3
What is w in 115*w**4 + 32*w**3 + 50*w + 25*w**5 - 111*w**2 - 4*w**2 - 107*w**3 = 0?
-5, -1, 0, 2/5, 1
Suppose -5*n + 44 - 34 = 0. Solve 7*x**2 - 4*x**n + 2*x**2 - 5*x = 0 for x.
0, 1
Let j(i) = -20*i**2 + 299*i - 45. Let a(w) = 20*w**2 - 298*w + 42. Let k(y) = -5*a(y) - 6*j(y). Let k(z) = 0. What is z?
1/5, 15
Determine s so that 105/2*s**2 + 13/6 + 43/2*s - 25/6*s**3 = 0.
-1/5, 13
Let c be 14*(-4 + 120/28). Find p such that 0*p**3 - 15*p**2 - 1 - c - 5*p**3 - 15*p = 0.
-1
Suppose -4*n - 8 + 36 = 0. What is z in -3*z**3 + 43*z + 8 + n*z**3 - 23*z + 16*z**2 = 0?
-2, -1
Let y(z) be the second derivative of -1/21*z**7 + 0*z**5 + 1/15*z**6 + 0*z**3 + 0*z**2 + 0*z**4 + 7*z + 0. Factor y(o).
-2*o**4*(o - 1)
Let c(z) = -z**3 + z**2 + 11*z - 12. Let n be c(3). Solve -103*y**2 + 12*y + n*y + 98*y**2 = 0 for y.
0, 3
Determine w, given that 54/7*w**3 + 2/7*w**4 + 194/7*w**2 + 92/7 + 234/7*w = 0.
-23, -2, -1
Let x(v) be the second derivative of 16/225*v**6 + 0*v**2 + 0 + 1/90*v**4 + 0*v**3 + 9*v + 4/75*v**5. Find f such that x(f) = 0.
-1/4, 0
Let n be (-1)/((-4)/(-12)) + 8. Suppose -4*u = -4*c + 3 + n, -4*u = -3*c + 4. Let 1/5*t**u + 4/5 - 4/5*t = 0. What is t?
2
Let n(w) be the third derivative of -w**9/30240 - w**8/2520 - w**7/504 - w**6/180 - w**5/10 - w**2. Let i(t) be the third derivative of n(t). Factor i(v).
-2*(v + 1)**2*(v + 2)
Factor -32/5 - 2*g**2 + 48/5*g.
-2*(g - 4)*(5*g - 4)/5
Let i(x) = -4*x + 3*x + 3*x - 13. Let z be i(9). Factor 10*g - 80*g**4 - 89*g**5 - 2 + 57*g**z - 6*g**3 - 44*g**3 + 10*g**2.
-2*(g + 1)**3*(4*g - 1)**2
Suppose 0 = 2*w + x - 269, -2*x - 142 = -4*w + 3*w. Suppose -25 - 24*a**3 - w*a**3 + 28*a**2 + 68*a + 48*a**4 + 1 = 0. What is a?
-2/3, 1/2, 3
Let z(q) be the second derivative of -3*q**5/20 - 15*q**4/2 - 83*q**3/2 - 81*q**2 - 44*q - 3. Factor z(f).
-3*(f + 1)*(f + 2)*(f + 27)
Let v(q) be the first derivative of q**6/60 + q**5/30 - q**4/6 - 4*q**2 - 3. Let i(f) be the second derivative of v(f). Factor i(t).
2*t*(t - 1)*(t + 2)
Determine c, given that -138/11*c**2 + 0 - 36/11*c - 142/