/15*d**3.
-2*(d - 472)*(d + 1)**2/15
Let m(q) = -6*q + 105. Let x be m(17). Let s(b) be the first derivative of -4 + 0*b**2 + 2/3*b**x + 3*b**4 + 0*b. Solve s(c) = 0 for c.
-1/6, 0
Let b = 2392/7 - 4749/14. Let l(a) be the second derivative of -b*a**3 + 0 + 5*a**2 + 7*a + 5/12*a**4. Factor l(o).
5*(o - 2)*(o - 1)
Let f(r) be the first derivative of -r**5/5 + 3*r**4/2 + r**3/3 - 27*r**2 + 72*r + 121. Let f(a) = 0. Calculate a.
-3, 2, 3, 4
Let a be -33 + 9 + 156*20/120. Factor -441/2 - 1/8*r**a + 21/2*r.
-(r - 42)**2/8
Let s(w) be the first derivative of -3*w**5/25 - 189*w**4/10 - 4209*w**3/5 - 22326*w**2/5 + 3935. Solve s(l) = 0.
-61, -4, 0
Find c such that 1/2*c**5 + 36*c**3 - 54*c**2 + 17/2*c**4 + 0 - 432*c = 0.
-8, -6, 0, 3
Let a(o) be the second derivative of o**4/6 + 55*o**3/3 - 56*o**2 + 313*o. What is u in a(u) = 0?
-56, 1
Let q(n) be the second derivative of -8*n**6/15 - 26*n**5/5 - 233*n**4/12 - 110*n**3/3 - 75*n**2/2 - 9*n - 4. Suppose q(s) = 0. Calculate s.
-3, -5/4, -1
Let a(h) be the third derivative of -h**5/390 + 16*h**4/3 - 13312*h**3/3 + 1907*h**2. Suppose a(p) = 0. What is p?
416
Let t be 20 - (66 - (118 - 70)). Factor -15*k**t + 12/5*k + 18/5*k**3 + 0.
3*k*(k - 4)*(6*k - 1)/5
Find j, given that -778*j + 410*j**3 - 5*j**5 - 695*j + 4*j**4 - 140*j**2 + 76*j**4 + 900 + 228*j = 0.
-3, 1, 20
Let n(k) be the first derivative of -k**5/110 - k**4/11 + 7*k**3/33 - 170*k - 62. Let c(b) be the first derivative of n(b). Factor c(r).
-2*r*(r - 1)*(r + 7)/11
Let i(r) be the first derivative of -5*r**6/6 + 171*r**5 - 24365*r**4/2 + 308370*r**3 + 48735*r**2/2 - 925965*r + 3664. Factor i(k).
-5*(k - 57)**3*(k - 1)*(k + 1)
Let u be (-272076)/5740 + 51 + 2. Factor -8/5*v**2 - u + 2/5*v**3 - 38/5*v.
2*(v - 7)*(v + 1)*(v + 2)/5
Solve -10*r**3 + 196*r**2 - 16*r**3 - r**3 - 96 - 46*r**3 - 440*r + 53*r**3 = 0.
-1/5, 4, 6
Let i(w) be the third derivative of 0 - 21*w**2 + 0*w + 1/5*w**5 - 9*w**3 - 3/8*w**4 + 1/40*w**6. Factor i(v).
3*(v - 2)*(v + 3)**2
Factor 348*j**3 - 1035*j**2 - 687/2 + 1032*j - 3/2*j**4.
-3*(j - 229)*(j - 1)**3/2
Suppose -5*j - 9 - 16 = 5*o, o = 5*j + 25. Factor -212*c**3 + 360*c - 118*c**2 + 0*c**4 + 60*c**3 + 200 - 100*c**3 + o*c**4 + 98*c**4.
2*(c - 2)**2*(7*c + 5)**2
Let u = -1265 + 899. Let d = -363 - u. What is n in 0 - 2/17*n**4 + 6/17*n**d + 2/17*n - 6/17*n**2 = 0?
0, 1
Factor -1648/9 - 404/3*i**2 + 2456/9*i + 194/9*i**3 + 2/9*i**4.
2*(i - 2)**3*(i + 103)/9
Let y(j) be the first derivative of -2*j**4 - 118 - 4*j + 7*j**2 + 10/3*j**3. Factor y(o).
-2*(o - 2)*(o + 1)*(4*o - 1)
Let i(t) be the first derivative of 2/15*t**5 + 44/9*t**3 + 19/12*t**4 - 20 + 3/2*t**2 - 6*t. Solve i(k) = 0 for k.
-6, -3, -1, 1/2
Let o(c) be the first derivative of 0*c - 43 - 12/7*c**3 + 1/14*c**4 - 19/7*c**2. Find q such that o(q) = 0.
-1, 0, 19
Factor 2845/2*d**3 - 6566580 - 5/4*d**4 - 1595885/4*d**2 - 3260370*d.
-5*(d - 573)**2*(d + 4)**2/4
Suppose 112/11*w + 136 + 2/11*w**2 = 0. Calculate w.
-34, -22
Let w(h) be the first derivative of -161*h**4/8 - 503*h**3/2 - 136*h**2 - 18*h - 625. Determine j, given that w(j) = 0.
-9, -2/7, -2/23
Let d(q) = q**3 + 25*q**2 - 349*q - 8. Let t be d(10). Let h(p) be the first derivative of 1/2*p + 5/8*p**t - 21 + 1/16*p**4 + 1/3*p**3. Factor h(z).
(z + 1)**2*(z + 2)/4
Let z(v) be the third derivative of 1/108*v**4 + 1/60*v**5 - 1/540*v**6 + 112*v**2 + 0*v - 1/1890*v**7 + 0 - 4/27*v**3. Let z(n) = 0. Calculate n.
-4, -1, 1, 2
Let g = -37317 - -111991/3. Suppose 4/3*a**2 + 12*a - g = 0. Calculate a.
-10, 1
Let v(a) be the third derivative of -a**6/1380 - 19*a**5/345 - 35*a**4/69 - 136*a**3/69 + 17*a**2 + 11*a. Factor v(s).
-2*(s + 2)**2*(s + 34)/23
Let a(f) = 7*f**2 - 6*f - 1. Suppose k - 2*i + 44 = 5*k, 4*i = 0. Let j(v) = 19*v**2 - 18*v - 4. Let s(o) = k*a(o) - 4*j(o). Factor s(g).
(g + 1)*(g + 5)
Let j(z) = -2 + 6*z**3 + 11*z**3 + 15*z**3 + z**2 + z - 34*z**3. Let r(o) = 52*o**3 - 40*o**2 - 8*o + 48. Let b(q) = 24*j(q) + r(q). Factor b(a).
4*a*(a - 2)**2
Let y(r) = -r**2 + 52. Let s be y(8). Let t be (-12)/(-10) + s/(-40)*-2. Factor 0 - t*m**5 - 6/5*m**4 + 0*m**3 + 3/5*m + 6/5*m**2.
-3*m*(m - 1)*(m + 1)**3/5
Let q(c) be the second derivative of c**6/10 + 51*c**5/10 + 53*c**4 - 665*c**3 + 3249*c**2/2 - 6746*c. Factor q(j).
3*(j - 3)*(j - 1)*(j + 19)**2
Let j(h) = -94 + 0*h + 6*h - 16 - h + 6*h. Let p be j(10). Factor p + 10/17*m**3 + 2/17*m - 12/17*m**2.
2*m*(m - 1)*(5*m - 1)/17
Let r = 1211093 - 1211091. Find b such that 18*b**r + 24/7 - 104/7*b - 10/7*b**4 - 36/7*b**3 = 0.
-6, 2/5, 1
Let n(d) be the first derivative of -2*d**3/7 - 48*d**2/7 - 360*d/7 - 4838. Let n(o) = 0. What is o?
-10, -6
Let h = 4 - 2. Let q be (-21)/(6741/(-636)) + 1016/54356. Factor 0 - 1/2*a**4 + a - 5/2*a**q + h*a**3.
-a*(a - 2)*(a - 1)**2/2
Suppose 3568*l = 5532 - 2551 + 4155. Suppose 2/5*f**l + 32*f + 640 = 0. Calculate f.
-40
Factor 18*c - 324 + 8*c**2 - 2/3*c**3.
-2*(c - 9)**2*(c + 6)/3
Suppose -12*x + 15*x = 6. Let 59*n**x - 14*n**2 + 17*n**2 + 3*n**2 + 60*n - 5*n**4 = 0. Calculate n.
-3, -1, 0, 4
Factor -12*r + 5*r**2 - 1/4*r**3 - 144.
-(r - 12)**2*(r + 4)/4
Let j be (13/(-2))/(4*2/(-16)). Suppose 2*t = -q + 12, 2*q + j = 3*t + q. Factor -t*o**2 - 80*o + 0*o**2 + 0*o**2 + 70*o.
-5*o*(o + 2)
Let n = -1/9691 - -77533/48455. Factor 1/5*a**2 + n + 6/5*a.
(a + 2)*(a + 4)/5
Factor -295*m - 327 - 39*m - m**3 - 321*m - 329*m**2.
-(m + 1)**2*(m + 327)
Let p = -18758 + 18768. Let m(l) be the third derivative of 1/224*l**8 + 0*l**4 + 1/40*l**6 + 3/140*l**7 + 0*l + p*l**2 + 0 + 0*l**5 + 0*l**3. Factor m(x).
3*x**3*(x + 1)*(x + 2)/2
Determine q, given that 5*q - 19*q**3 - 31 - 26 + 17*q**3 - 10*q**2 - 21*q + 49 = 0.
-2, -1
Factor 5*q + 15*q**2 - 489 + 342 - 423.
5*(q - 6)*(3*q + 19)
Let v(p) be the first derivative of -252*p**5/11 + 527*p**4/22 - 280*p**3/33 + 12*p**2/11 - 2218. Solve v(x) = 0 for x.
0, 3/14, 2/9, 2/5
Let y(z) = -4*z**4 - 25*z**3 + 69*z**2 - 53*z - 153. Let p(f) = 9*f**4 + 52*f**3 - 139*f**2 + 107*f + 311. Let x(i) = 5*p(i) + 11*y(i). Solve x(r) = 0.
-1, 4, 8
Let o(c) be the first derivative of 3*c**5/10 + 3*c**4/2 + c**3/2 - 9*c**2/2 + 609. Let o(f) = 0. What is f?
-3, -2, 0, 1
Let m = -493596 - -4442366/9. Factor -882 - 28*q - m*q**2.
-2*(q + 63)**2/9
Let i be (-71 - -66)/(7/(28/(-5))). Let w(z) be the first derivative of -8/15*z**3 + 7/10*z**i - 40 + 4/25*z**5 + 0*z + 0*z**2. Find f such that w(f) = 0.
-4, 0, 1/2
Let n = 61 - 58. Suppose -t = n*d + 2*d - 72, 6 = 3*t. Solve -d*s**4 + 8*s**2 + 2*s**4 + 4 - 3*s**5 - 12*s + 4*s**5 + 3*s**5 + 8*s**3 = 0.
-1, 1
Let k be -307*191/(-293185)*(50/(-12))/(-1). Factor 2/3*m**2 + k*m + 1/3 + 1/6*m**3.
(m + 1)**2*(m + 2)/6
Factor 27606 - 17750 + 28*o**2 - 23792*o - 16656.
4*(o - 850)*(7*o + 2)
Let o(i) = 1791*i - 3562. Let x be o(2). Let q(n) be the third derivative of 1/9*n**3 + 1/180*n**6 - 1/36*n**4 + 0*n + 0 + x*n**2 - 1/90*n**5. Factor q(c).
2*(c - 1)**2*(c + 1)/3
Let p(w) = -w - 2. Let y be p(-4). Solve 8*m**2 - 28*m + 16 + y*m**3 + 3*m**3 + 6*m**2 - 7*m**3 = 0.
1, 2, 4
Suppose -2*u - 505 = -5*b + u, -u - 99 = -b. Let s be (b/32 + -3)*10. Factor s*j**2 - 15/2*j + 5.
5*(j - 2)*(j - 1)/2
Find x such that 54/5*x**2 + 83/5*x**3 - 26/5*x**4 - 88/5 - 3/5*x**5 - 28*x = 0.
-11, -1, -2/3, 2
Let p(m) be the third derivative of 0*m**3 + 0*m**5 + 0*m + 0 - 1/60*m**4 + 1/1200*m**6 + 60*m**2. Let p(c) = 0. What is c?
-2, 0, 2
Let q = 13403/46249 - 27/6607. Factor q*g - 12/7 + 2/7*g**2.
2*(g - 2)*(g + 3)/7
Solve -22/9*z - 2/9*z**2 + 0 = 0 for z.
-11, 0
Let b(i) be the third derivative of -i**5/270 + 49*i**4/54 - 376*i**3/27 - 6*i**2 - 17. Factor b(a).
-2*(a - 94)*(a - 4)/9
Let i(x) be the second derivative of -x**5/15 + 27*x**4 - 4374*x**3 + 121*x**2/2 - 67*x - 1. Let s(u) be the first derivative of i(u). Factor s(l).
-4*(l - 81)**2
Let m(u) be the third derivative of -2*u**2 - 17/2*u**4 + 0 + 6*u + 24*u**3 - 2/105*u**7 + 1/10*u**6 + 13/15*u**5. Factor m(r).
-4*(r - 3)**2*(r - 1)*(r + 4)
Let t = 11/6980 - -4177/6980. Solve -3/5*r**2 + 9/5*r + 6/5 - 9/5*r**3 - t*r**4 = 0.
-2, -1, 1
Let u be 68/10 - (-108)/(-135). Suppose -2*t = g - 2 - 5, 0 = u*t - g - 17. Solve 0 + 2/3*n**t + 0*n - 4/3*n**2 = 0.
0, 2
Let w(a) be the first derivative of 47 + 0*a**2 + 10*a**3 + 5/4*a**4 - a**5 + 0*a. Factor w