 -60*f**2 + 1610*f + 630. Let s(a) = 5*o(a) + 2*z(a). Factor s(x).
5*(x - 32)*(5*x + 2)
Let p = 652 + -646. Let q(o) be the second derivative of -20*o - 5/14*o**4 + 0 - 9/35*o**5 - 3/14*o**3 - 3/35*o**p - 1/98*o**7 + 0*o**2. Factor q(i).
-3*i*(i + 1)**3*(i + 3)/7
Let z(c) = 17*c**2 + 13394*c + 8978030. Let k(l) = 70*l**2 + 53575*l + 35912125. Let y(q) = -6*k(q) + 25*z(q). Solve y(i) = 0 for i.
-1340
Factor -n**3 - 15*n + 9*n**2 + 16653 + 0*n - 16646.
-(n - 7)*(n - 1)**2
Let d(u) be the first derivative of 2*u**4 - 8*u + 3 - 8/5*u**5 + 16/3*u**3 - 2/3*u**6 - 2*u**2. Let d(a) = 0. Calculate a.
-2, -1, 1
Let q(x) = x**2 + 220*x. Let c(r) = 4*r**2 + 869*r. Let t(v) = 4*c(v) - 18*q(v). Find j, given that t(j) = 0.
-242, 0
Let u be 10/2 - ((-26814)/(-144) - -8). Let g = 577/3 + u. Factor -5/4*c + g + 1/8*c**2.
(c - 5)**2/8
Factor 105*p**2 - 6076*p**3 + 3039*p**3 - 190*p + 3032*p**3.
-5*p*(p - 19)*(p - 2)
Let a(c) be the first derivative of 4*c**5/5 - 88*c**3/3 - 48*c**2 + 180*c + 5441. Factor a(j).
4*(j - 5)*(j - 1)*(j + 3)**2
Let s(o) be the first derivative of -19*o**4/24 + 13*o**3/6 - 7*o**2/4 + o/6 - 758. Factor s(d).
-(d - 1)**2*(19*d - 1)/6
Determine v so that -5*v**2 - 445*v + 216 + 1853 - 209 = 0.
-93, 4
Let k be ((-3551)/(-795) - 7/(-210)) + 9. Factor 21/4*v**2 + k + 195/4*v.
3*(v + 9)*(7*v + 2)/4
Factor 0*g + 0 + 0*g**2 + 3/4*g**5 + 33/4*g**4 + 21*g**3.
3*g**3*(g + 4)*(g + 7)/4
Let v = -43079/4 + 129317/12. Factor -64/3*c - 4/3*c**4 - 32/3*c**3 - 24*c**2 - v.
-4*(c + 1)**3*(c + 5)/3
Suppose 0 = -3*l + 11 + 1, 0 = -3*m + l + 11. Suppose 2*o - m = -b + 6, o + 2 = b. Factor 12*v**3 - v**5 - v**5 - 12*v**4 - v**5 + 7*v**b - 4*v**2.
4*v**2*(v - 1)**3
Suppose 16 = -3*q - 5*z, 12 = -q + 49*z - 54*z. Let g be ((-465)/18)/(-31)*q/(-10). Factor 0*w + 2/3 - g*w**2.
-(w - 2)*(w + 2)/6
Let q(d) = 137*d**3 - 2996*d**2 + 6535*d - 1080. Let m(x) = 15*x**3 - 334*x**2 + 726*x - 120. Let w(l) = 38*m(l) - 4*q(l). Factor w(o).
2*(o - 30)*(o - 2)*(11*o - 2)
Let m(x) be the first derivative of 0*x + 139 - 1/3*x**5 - 5/2*x**4 - 5*x**3 - 10/3*x**2. Determine v, given that m(v) = 0.
-4, -1, 0
Let k = -54533 - -54533. Factor k + 2/23*y**3 - 8/23*y**2 + 8/23*y.
2*y*(y - 2)**2/23
Let q = -45 - -52. Let l be (-138)/30 + q - 3/(-5). Factor 0*o**5 + 3*o**2 + 5*o**5 + 5*o - 3*o**2 - 10*o**l.
5*o*(o - 1)**2*(o + 1)**2
Let f(b) = b**2 - 6*b - 53. Let t be f(11). Let x = 356/5 - 3886/55. Factor 2/11*d**4 + x*d**5 - 4/11*d**3 + 0*d + 0 + 0*d**t.
2*d**3*(d + 1)*(3*d - 2)/11
Let p(a) be the first derivative of a**6/12 - 7*a**5/10 + a**4/4 + 20*a**3/3 - 4377. Factor p(f).
f**2*(f - 5)*(f - 4)*(f + 2)/2
Suppose 0*c + 24 = 2*v - 2*c, -c = 4*v - 68. What is l in 5*l**2 - l + 45 - 6*l + 21*l + v*l = 0?
-3
Suppose 0 = -n + 2*f - 16, 252*n + 19 = 248*n + 3*f. Determine v so that 9/2 - 1/4*v**n - 17/4*v = 0.
-18, 1
Let g(d) be the third derivative of 40/3*d**3 - 194*d**2 - 5/3*d**4 + 0*d + 0 + 1/12*d**5. Let g(u) = 0. What is u?
4
Suppose 442 = -4*c + 1390. Factor -k**3 + 242*k - 11*k**2 + c*k - 479*k.
-k**2*(k + 11)
Let u(z) = 10*z**2 + 3*z**2 - 4*z - 15*z**2 + z + 3 + 4*z**3 + 11*z**2. Let v(n) = 5*n**3 + 9*n**2 - 4*n + 4. Let q(t) = -4*u(t) + 3*v(t). Factor q(c).
-c**2*(c + 9)
Let l(v) be the first derivative of v**4/14 - 128*v**3/7 + 9216*v**2/7 + 2609. Determine a, given that l(a) = 0.
0, 96
Let k(c) be the third derivative of -c**6/16 + c**5/20 + 33*c**4/16 + 9*c**3/2 + 559*c**2. Determine v, given that k(v) = 0.
-2, -3/5, 3
Suppose 3*j = -5*n + 1490, 2*n + 4*j - 573 = 23. Let o = 300 - n. Factor -8/13*h + 14/13*h**3 - 24/13*h**o + 0.
2*h*(h - 2)*(7*h + 2)/13
Suppose 0 = 11*l + 7*l + 5922. Let b = 329 + l. Factor -1/3*i + 2/3*i**4 + b*i**3 - 2/3*i**2 + 0 + 1/3*i**5.
i*(i - 1)*(i + 1)**3/3
Let j = 1393895/2 - 696922. Suppose 51/2*q**2 - j + 3/2*q - 3/2*q**3 = 0. Calculate q.
-1, 1, 17
Let q(x) be the third derivative of x**7/1800 + x**6/1800 + 37*x**4/24 - 41*x**2. Let y(z) be the second derivative of q(z). Determine g so that y(g) = 0.
-2/7, 0
Suppose f + 5*o - 3275 = 0, -20*f - 5*o = -15*f - 16275. Factor -3259*v + 5 + f*v - 5 + v**2.
v*(v - 9)
Let y(a) be the second derivative of -a**5/40 + a**4/6 + 3*a**3/4 - 9*a**2 - 3047*a. Factor y(h).
-(h - 4)*(h - 3)*(h + 3)/2
Let r be (-13 - 16/((-6992)/5635))*-19. Determine c so that 2/13*c**r + 416 + 16*c = 0.
-52
Let j be (4795 + -82)/(2 + -1). Let q = -23484/5 + j. Factor q - 18/5*a + 1/5*a**2.
(a - 9)**2/5
Let q(d) be the second derivative of 4*d**5/5 + d**4 - 98*d**3/3 + 24*d**2 + 12*d - 14. Determine n so that q(n) = 0.
-4, 1/4, 3
Suppose 4332/7*j + 0 + 18*j**4 + 1551/7*j**3 + 684*j**2 + 3/7*j**5 = 0. Calculate j.
-19, -2, 0
Let l(u) be the third derivative of -u**8/504 - u**7/105 + 11*u**6/180 + 17*u**5/30 + 31*u**4/18 + 8*u**3/3 - 872*u**2 + 1. Suppose l(t) = 0. Calculate t.
-3, -2, -1, 4
Let y(p) be the first derivative of 2*p + 18*p**4 + 9*p**2 + 109/6*p**3 + 17/2*p**5 + 3/2*p**6 - 45. Solve y(x) = 0.
-2, -1, -1/2, -2/9
Let r be 18/90 + (-2)/10. Let z be r/((2/(-5))/((-10)/(-50))). Suppose 3/5*h**3 - 1/5*h**5 + z*h + 2/5*h**2 + 0*h**4 + 0 = 0. What is h?
-1, 0, 2
Let u(a) be the second derivative of 5*a**4/12 - 70*a**3/3 - 11*a - 5. Solve u(z) = 0.
0, 28
Let q be (22/(-1056))/(2/(-4)). Let l(f) be the second derivative of q*f**4 + 2/3*f**3 + 4*f**2 + 0 - 5*f. Factor l(i).
(i + 4)**2/2
Let c(b) = -2*b**3 - 3*b - 2. Let k(x) = -22*x**3 + 3798*x**2 - 2404164*x + 507272254. Let s(u) = 10*c(u) - k(u). Factor s(l).
2*(l - 633)**3
Suppose -1641*m + 11955*m**2 - 5965*m**2 - 5987*m**2 - 558 + 4517 + 937 = 0. Calculate m.
3, 544
Let l = 26/3 - 8. Let c be ((-2340)/18)/(-6 - 45) - 20/(-170). Find r such that l*r**3 + 16/3*r - c - 10/3*r**2 = 0.
1, 2
Suppose 4*x - 20 = 4*w, 3 = x - 2*w - 7. Suppose x = -9*u + 8*u. Let -5*l**4 - 15*l**2 - 20*l - 5*l**3 + u*l**4 + 20 + 25*l**3 = 0. What is l?
-1, 1, 2
Let p(k) = -8*k**2 - 1. Let c(a) = -4*a**3 + 33*a**2 - 15*a + 7. Let s(m) = -4*c(m) - 28*p(m). Factor s(q).
4*q*(q + 5)*(4*q + 3)
Suppose -330 = -3*t + 369. Solve 105*j - 3*j**2 - t*j + 107*j = 0.
-7, 0
Factor -5770*f + 2866*f - 4*f**4 + 3*f**3 + 7*f**4 + 2877*f - 27*f**2.
3*f*(f - 3)*(f + 1)*(f + 3)
Let f be (144/(-96))/((-39)/2). Let s(z) be the second derivative of 1/13*z**2 + 1/78*z**4 - 2/195*z**6 + 6*z + f*z**3 + 0 - 3/130*z**5. What is y in s(y) = 0?
-1, -1/2, 1
Let h(v) be the first derivative of -7*v**5/150 - 13*v**4/30 + 8*v**3/15 + v**2 - 43*v - 89. Let g(x) be the second derivative of h(x). Factor g(t).
-2*(t + 4)*(7*t - 2)/5
Suppose 235*c - 306*c = 0. Let k(n) be the first derivative of 3*n**3 - 3/5*n**5 + 0*n**4 - 3*n**2 + c*n - 12. Solve k(l) = 0.
-2, 0, 1
Let c(k) be the first derivative of 25913 - 25910 - k**3 + 2*k + 3*k**2 + 22*k. Let c(a) = 0. Calculate a.
-2, 4
Let v(i) be the third derivative of -i**8/84 - 16*i**7/21 - 91*i**6/15 - 248*i**5/15 - 35*i**4/2 + 72*i**2 + 29*i. Let v(u) = 0. Calculate u.
-35, -3, -1, 0
Let c(x) be the first derivative of -2*x**6/3 + 56*x**5/5 - 33*x**4 - 448*x**3/3 - 128*x**2 + 15366. Solve c(y) = 0 for y.
-1, 0, 8
Factor -3*j - 13*j + 180 + 42233*j**2 - 42228*j**2 - 67*j - 102*j.
5*(j - 36)*(j - 1)
Let p(b) be the second derivative of -52/3*b**2 + 26/9*b**4 + 15 + 1/15*b**5 - 2/9*b**3 + b. Factor p(h).
4*(h - 1)*(h + 1)*(h + 26)/3
Let i(d) be the second derivative of d**4/126 + 94*d**3/63 - 95*d**2/21 - 9753*d. Factor i(r).
2*(r - 1)*(r + 95)/21
Let a be 7812/7595 - 6/14. Let r(q) = -q**3 - 7*q**2 + 3*q + 23. Let t be r(-7). Factor -a*n**t + 3*n - 9/5 - 3/5*n**3.
-3*(n - 1)**2*(n + 3)/5
Let v be 52/24 - 1/6. Let y be 8 - (v - 1 - 2/10). Suppose -y*f**3 + 0 - 4*f**2 + 28/5*f**5 + 4*f**4 + 8/5*f = 0. What is f?
-1, 0, 2/7, 1
Find d such that 134*d - 266 - 1/2*d**2 = 0.
2, 266
Let b be (4/100)/(93/95790). Determine t so that 14/5*t**2 - b*t - 12 = 0.
-2/7, 15
Let p(v) = -v**2 + 11*v - 4. Let y(c) = -1. Suppose -2*t + 10 = -2*z + 4, -4*z = t + 2. Let b(o) = z*p(o) + 4*y(o). Let b(f) = 0. What is f?
0, 11
Suppose -10 = 5*y, 5*k - 4*y + 219 = -13. Let j be (-12)/k - 30/(-8). Factor 4 + 0 - 5 + a**2 + j + 4*a.
(a + 1)*(a + 3)
Let g(h) = 3*h**2 - 5*h - 22. Let c be g(5). Let f be (-10)/(-12) + c/24. Solve -f*d - 8/3 - 1/3*d**2 = 0.
-4, -2
Let n(z) be the first derivative of -z**7/1960 + z**6/840