*w**2 - 4/15*w**m + 13*w. Solve u(b) = 0.
-2
Suppose 1392 = o + 1389. Find d, given that 4 + 70*d + 12*d**3 - 17*d**o - 4 + 65*d**2 = 0.
-1, 0, 14
Let k(s) be the second derivative of s**3 + 3/5*s**5 - 1/10*s**6 + 7*s + 0*s**2 + 1 - 5/4*s**4. Factor k(j).
-3*j*(j - 2)*(j - 1)**2
Suppose 257*m - 80*m - 708 = 0. Let n(s) be the first derivative of -1/4*s**m - 9 - 1/15*s**5 + 0*s**2 + 0*s - 2/9*s**3. Factor n(x).
-x**2*(x + 1)*(x + 2)/3
Let l(q) = q**3 + 25*q**2 - 28*q - 52. Let a be l(-26). Let c = 431/309 + -19/309. Factor 2/3*o**5 + a + 0*o**3 - 2/3*o + c*o**2 - 4/3*o**4.
2*o*(o - 1)**3*(o + 1)/3
Suppose 2*n + 15 = -2*m - 3*n, -m - 3 = n. Let p be (-3)/6*-4 - (-3 - m). Suppose 7*o**2 + 7*o**3 - 2*o**2 + p*o - 7*o = 0. Calculate o.
-1, 0, 2/7
Let f = 1 - -2. Let v be (-70)/(-21) - (4 - 40/15). Solve -9*n**4 + 9*n**v + 3*n**3 + 8*n**5 - 18*n**3 + 4*n**5 + f*n = 0 for n.
-1, -1/4, 0, 1
Let o(a) be the second derivative of 3*a - 5/12*a**4 + 1/60*a**5 + 7/2*a**3 - 42 - 49/6*a**2. Determine v so that o(v) = 0.
1, 7
Suppose i + 13 = 3*u, 36*u = 2*i + 40*u - 24. Let t(q) be the second derivative of 2*q**3 - 4*q**i + 0 - 7*q - 1/3*q**4. Let t(r) = 0. What is r?
1, 2
Let u be ((-6)/(-9))/(20/(-20))*9/(-24). Factor -1/4*h + u*h**3 + 0*h**2 + 0.
h*(h - 1)*(h + 1)/4
Let l(a) be the first derivative of -a**6/2 + 3*a**5 - 6*a**4 + 4*a**3 - 807. Factor l(s).
-3*s**2*(s - 2)**2*(s - 1)
Let l(y) = 27*y + 239. Let f be l(-5). Let m = f - 104. Solve -2/13*t**2 + m*t + 0 - 2/13*t**4 + 4/13*t**3 = 0 for t.
0, 1
Let v(m) = 2*m**2 - 4*m + 2. Let n(q) = 9*q**2 + 876*q + 65718. Let g(k) = -n(k) + 3*v(k). Find t, given that g(t) = 0.
-148
Let z(x) = -x**3 - 18*x**2 + 3. Let f be z(-18). Suppose 11 = f*u + 2. Factor -1 + 2*g**2 - 2 + 4*g**2 - u*g**4.
-3*(g - 1)**2*(g + 1)**2
Let q be ((-2)/192)/(60*39/(-936)). Let j(p) be the third derivative of 0*p + 0*p**4 - 25*p**2 - q*p**5 + 1/6*p**3 + 0. Factor j(x).
-(x - 2)*(x + 2)/4
Determine x, given that 298/15*x - 22/15*x**2 - 52/5 = 0.
6/11, 13
Let q(m) be the second derivative of -5*m**4/12 - 35*m**3/6 + 425*m**2 - 112*m - 4. Find j, given that q(j) = 0.
-17, 10
Let b = 4814 + -1352730/281. Let a = b + 1658/1967. Solve 3/7*g**2 + a*g + 3/7 = 0 for g.
-1
Let k be -2*1*(-4 + (-10)/(-4)). Suppose k*f - 72 = -5*f. Solve h**3 + 6*h**2 + f*h - 4*h**3 + h - h = 0 for h.
-1, 0, 3
Let w be ((182/12)/7)/(11669/20004). Solve -2/7*t**2 - 24/7 + w*t = 0 for t.
1, 12
Let k(t) be the second derivative of 49*t + 1/4*t**4 + 1 - 1/10*t**6 - 9/20*t**5 + 0*t**2 + 1/14*t**7 + t**3. Let k(d) = 0. Calculate d.
-1, 0, 1, 2
Let k(u) be the first derivative of -u**7/420 - u**6/20 - 2*u**5/5 - 4*u**4/3 - 53*u**2/2 + 58. Let l(t) be the second derivative of k(t). Factor l(g).
-g*(g + 4)**3/2
Suppose -x - 162 = 2*x. Let b = x + 79. Factor 6 - 18 + 5*s**3 - 3 + 35*s - b*s**2.
5*(s - 3)*(s - 1)**2
Let r(d) be the third derivative of 4*d**7/315 + 13*d**6/90 + 11*d**5/30 + 31*d**4/72 + 5*d**3/18 - 2350*d**2. Let r(g) = 0. Calculate g.
-5, -1/2
Factor -844*s**3 + 280*s**2 - 280 - 881*s**3 - 18*s + 1743*s**3.
2*(s - 1)*(s + 1)*(9*s + 140)
Let u be -17 - ((-950)/38 + (-1 - -7)). Find f such that 0 - 6/13*f**u - 8/13*f**3 + 2/13*f = 0.
-1, 0, 1/4
What is o in 168/11 + 2/11*o**2 + 8*o = 0?
-42, -2
Let z(g) be the third derivative of -g**5/510 - 79*g**4/34 - 473*g**3/51 + 5175*g**2. Factor z(u).
-2*(u + 1)*(u + 473)/17
Let o = 349145/29 + -12038. Let h = o + -185/203. Solve 4/7*b**3 - h + 12/7*b - 12/7*b**2 = 0.
1
Let s be 2 + (-5)/1 - (-10 + 1). Let i(l) = -11*l**2 + 18*l + 28. Let f(h) = -5*h**2 + 9*h + 14. Let w(u) = s*i(u) - 13*f(u). Factor w(v).
-(v + 2)*(v + 7)
Factor -53 - 84*s**2 - 21*s + 83*s**2 + 114 - 61.
-s*(s + 21)
Factor 1/3*l**2 + 11*l + 266/3.
(l + 14)*(l + 19)/3
Let g be 20 - (4/6)/(6/(-27)). Suppose -g = -12*z + 13. Factor 3/4*p**3 + z*p + 3*p**2 + 0.
3*p*(p + 2)**2/4
Let t(g) be the second derivative of g**7/21 + g**6/15 - g**5/2 - 5*g**4/6 + 4*g**3/3 + 4*g**2 + 1999*g. Solve t(q) = 0.
-2, -1, 1, 2
Let r = 176904 - 353803/2. What is g in -r*g - 13/3 - 1/6*g**2 = 0?
-13, -2
Let o(t) be the first derivative of -3*t**5/5 + 33*t**4/2 - 57*t**3 - 1643. Factor o(y).
-3*y**2*(y - 19)*(y - 3)
Let o(l) be the first derivative of l**6/18 + 17*l**5/15 - l**4/12 - 17*l**3/9 - 2041. Suppose o(p) = 0. What is p?
-17, -1, 0, 1
Let a(s) be the third derivative of -s**5/360 + 67*s**4/36 - 89*s**3/12 + 2364*s**2. Factor a(b).
-(b - 267)*(b - 1)/6
Let h = 255 - 248. Suppose -h*r - 18 - r - 8*r + r**2 + r**2 = 0. Calculate r.
-1, 9
Suppose 10*x - 3 = 37. Suppose -l - x*u + 4 = -5*u, -3*l - 5*u = -4. Suppose 2 + 0*p**l - 17*p**2 + 5*p**3 - 6 + 7*p + 9*p = 0. What is p?
2/5, 1, 2
Let p be (-8767)/(-33) + (-8)/(-6). Suppose -r + 266*r**4 - 531*r**4 + p*r**4 + 3*r**3 = 0. What is r?
-1, 0, 1/2
Let y = -32 - -30. Let f(t) = t**2 + 3*t + 5. Let c be f(y). Suppose -14*k**4 + 20*k**4 - 10*k**4 - 8*k**c = 0. What is k?
-2, 0
Let n(g) be the first derivative of 3*g**3 + 123*g**2/2 + 90*g + 41. Let q(m) = -8*m**2 - 122*m - 94. Let x(h) = 5*n(h) + 6*q(h). What is o in x(o) = 0?
-38, -1
Let d = 49/96 + 5/32. Suppose 753*f - 4 + 6 = 754*f. Solve 4/3 - f*s + d*s**2 = 0.
1, 2
Find b such that 2/7*b**5 - 82/7*b**4 + 2816/7*b + 710/7*b**3 + 2642/7*b**2 + 968/7 = 0.
-1, 22
Find i such that -2376/5*i**2 - 24*i**4 + 828/5*i**3 + 0 + 6/5*i**5 + 486*i = 0.
0, 3, 5, 9
Suppose 69*d + 40 = 77*d. Suppose 5*b + 4*x - 3 = 0, 44 - 53 = 2*b + d*x. Factor -12*t**b + 27*t**2 - 24*t + 3/2*t**4 + 15/2.
3*(t - 5)*(t - 1)**3/2
Let g(m) be the second derivative of 72/5*m**5 + 64*m**2 - 224/3*m**3 - 18/7*m**7 + 20*m + 1 - 36/5*m**6 + 80/3*m**4. Solve g(b) = 0 for b.
-2, 2/3
Let q(d) be the first derivative of d**7/63 - d**5/15 + d**3/9 + 75*d + 175. Let s(j) be the first derivative of q(j). Find b such that s(b) = 0.
-1, 0, 1
Determine f so that 88209/5 + 1/5*f**2 - 594/5*f = 0.
297
Suppose -14 = 525*s - 523*s. Let y be (-3 - (-319)/77)/((-3)/s). Determine r, given that 16/3*r**2 + 20/3*r + 4/3*r**3 + y = 0.
-2, -1
Let v(r) be the second derivative of r**6/60 + 12*r**5/5 + 1103*r**4/12 - 392*r**3 + 2401*r**2/4 + 9*r - 19. Solve v(c) = 0.
-49, 1
Let b(n) be the second derivative of n**5/16 + 19*n**4/48 + 11*n**3/24 - 3*n**2/8 - 2318*n. Find f, given that b(f) = 0.
-3, -1, 1/5
Let n(h) be the first derivative of -h**4/14 - 304*h**3/21 - 596*h**2/7 - 1184*h/7 - 1092. Suppose n(t) = 0. What is t?
-148, -2
Suppose -15 = -47*d + 42*d, -3*n + 5*d = 1113. Let j = n + 369. Factor 0 + 16/3*z - 8*z**2 + 4*z**j - 2/3*z**4.
-2*z*(z - 2)**3/3
Let d(u) be the first derivative of 2*u**6/9 + 32*u**5/15 - 23*u**4/3 - 88*u**3/9 + 152*u**2/3 - 160*u/3 - 731. Let d(s) = 0. Calculate s.
-10, -2, 1, 2
Let g = 859 - 850. Suppose -19*l + g = -67. Determine i, given that -l*i**2 + 0 + 4/3*i**4 - 8/3*i + 0*i**3 = 0.
-1, 0, 2
Let g(l) be the first derivative of -l**6/420 - l**5/70 - l**4/42 - 4*l**2 - 4*l - 47. Let f(t) be the second derivative of g(t). Factor f(y).
-2*y*(y + 1)*(y + 2)/7
Let m be (14/44*12/15)/(-65 + (-45966)/(-705)). Let m*r**3 - 42/11*r**2 + 32/11*r - 6/11*r**5 - 8/11 + 10/11*r**4 = 0. Calculate r.
-2, 2/3, 1
Let x = 3479 + -3460. Let a(q) be the third derivative of -x*q**2 + 0 - 3/5*q**3 - 7/150*q**5 - 1/4*q**4 - 1/300*q**6 + 0*q. Suppose a(h) = 0. Calculate h.
-3, -1
Let m(l) be the second derivative of -l**5/40 - 5*l**4/16 + 7*l**3/2 - 63*l**2/2 - 161*l. Let x(v) be the first derivative of m(v). Factor x(y).
-3*(y - 2)*(y + 7)/2
Suppose 147*p - 20 = 3655. Let t(c) be the third derivative of 2/9*c**4 + 0*c + 0 - 1/180*c**6 - 4/3*c**3 + p*c**2 + 1/90*c**5. Factor t(y).
-2*(y - 2)**2*(y + 3)/3
Let w(d) be the third derivative of 1/45*d**5 + 0 - 55*d**2 - 19/18*d**4 + 0*d + 4*d**3. Factor w(y).
4*(y - 18)*(y - 1)/3
Let p = -58 - -52. Let s be (p/4 + 0/6)*-2. Factor -56*b**s + 48*b**4 + 20*b**3 + 10*b**2 - 2*b**2 - 16*b**5.
-4*b**2*(b - 2)*(2*b - 1)**2
Let z be 1390/470 - 66/(-1551). Let g(q) be the third derivative of 1/210*q**7 + 29*q**2 - 7/24*q**4 + q**z + 1/40*q**6 + 2*q + 0 - 1/20*q**5. Factor g(o).
(o - 1)**2*(o + 2)*(o + 3)
Let j be (1 + 4)*(-12)/(-20). Let u = 73 + -69. Factor 1/4*y**j + 0 - 1/4*y**2 - 1/4*y**5 + 1/4*y**u + 0*y.
-y**2*(y - 1)**2*(y + 1)/4
Let q(k) = -2*k**2 + 216*k - 12. Let m(t) =