at -192/7 + 45/7*g**2 + k*g**3 + 144/7*g = 0.
-8, 1
Let s be (202/9)/(-14 + (-900)/27). Let k = -10/71 - s. Determine v so that 0 + 0*v + 1/3*v**4 - 2/3*v**2 - k*v**3 = 0.
-1, 0, 2
Let n(x) be the third derivative of x**5/180 + 365*x**4/72 - 61*x**3/3 - 12537*x**2. Solve n(s) = 0 for s.
-366, 1
Let q be (-27)/27*(-3 - -1). Solve 23 + 4*h**q + 9*h**4 - 10*h**4 - 26 - 3*h**3 + h**3 + 2*h = 0.
-3, -1, 1
Let g = -88665/7 + 1479606/119. Let b = g + 233. Factor 30/17*a + 100/17*a**3 + 80/17*a**2 + b + 14/17*a**5 + 60/17*a**4.
2*(a + 1)**4*(7*a + 2)/17
Let t(g) be the third derivative of g**5/3 + 125*g**4/24 + 85*g**3/3 - g**2 - 228*g. Determine l, given that t(l) = 0.
-17/4, -2
Factor -8/11*s**3 - 26908/11 - 360/11*s**2 - 5394/11*s.
-2*(s + 14)*(2*s + 31)**2/11
Let x(f) be the third derivative of -1/42*f**7 + 0*f + 0*f**3 - f**2 - 148 + 0*f**6 + 0*f**4 + 1/3*f**5. Let x(i) = 0. What is i?
-2, 0, 2
Solve 0 + 3/4*o**3 + 96*o - 99/2*o**2 = 0 for o.
0, 2, 64
Let y = 8835 + -8824. Let u(a) be the third derivative of 2/165*a**5 + 0*a - 1/33*a**4 + 1/33*a**3 + 0 - y*a**2. Find r such that u(r) = 0.
1/2
Let t = -336 - -338. What is y in 28*y + y**t - 127*y - 2450 - 3*y**2 - 41*y = 0?
-35
Let z = 10693979/18 + -593733. Let a = z - 745/2. Factor -4/9*l**2 - 100/9 + a*l.
-4*(l - 5)**2/9
Determine z so that 1/3*z**4 - 64/3*z**3 + 181*z**2 + 15884/3 + 16492/3*z = 0.
-11, -1, 38
Suppose -30*h**3 - 671 + 1293 + 85*h**2 - 5*h**4 + 30*h - 702 = 0. Calculate h.
-8, -1, 1, 2
Let s(f) = -504*f + 5549. Let t be s(11). Let v(z) be the second derivative of t*z**2 + 0 + 1/10*z**5 - 3*z**3 + 13*z + 1/2*z**4. Let v(r) = 0. Calculate r.
-5, 1
Let v = -506/21 - -1019/42. Let m(f) be the second derivative of -160*f**2 + v*f**6 + 0 + 15*f**4 + 40/3*f**3 - 13*f + 11/4*f**5. Factor m(r).
5*(r - 1)*(r + 4)**3
Suppose 35*l - 40*l = -15. Suppose 0 = -l*q - 12*r + 11*r + 13, 2*r = -4*q + 18. Find f such that -2/3*f**2 + 0 + 1/3*f**3 + 0*f + 2/3*f**q - 1/3*f**5 = 0.
-1, 0, 1, 2
Let l(g) be the third derivative of -136*g**2 + 0*g**6 + 0*g**3 - 1/1680*g**7 + 0*g + 0 - 1/96*g**4 + 1/160*g**5. Factor l(u).
-u*(u - 1)**2*(u + 2)/8
Let y be (-1)/7*(1397/(-508) + 2 + -1). Let l(q) be the second derivative of -45/2*q**2 - 85/6*q**3 + 29*q + y*q**5 - 35/12*q**4 + 0. Factor l(i).
5*(i - 9)*(i + 1)**2
Let d be 34/(-1) - 128616/(-3588). Factor 0 + d*a + 14/13*a**3 + 32/13*a**2 + 2/13*a**4.
2*a*(a + 2)**2*(a + 3)/13
Let x = 40 + -38. Suppose g - 2*g + 4 = 2*p, 0 = p + 4*g - x. Let 4*n**3 - 14*n**p - 4*n + 14*n**2 = 0. What is n?
-1, 0, 1
Let j(q) = 64*q**3 - 123*q**2 + 110*q + 37. Let c(f) = -237*f**3 + 492*f**2 - 438*f - 147. Let z(n) = 4*c(n) + 15*j(n). Factor z(b).
3*(b - 1)*(b + 11)*(4*b + 1)
Let x(h) = h**3 - 11*h**2 + 7*h - 34. Let b be x(11). Factor 16 + 168*j**3 - 572*j**2 + 6*j**4 - 96*j + 660*j**2 + b*j**4.
(j + 2)**2*(7*j - 2)**2
Let o(l) be the first derivative of -l**4/14 - 66*l**3/7 - 2904*l**2/7 - 42592*l/7 + 3031. Factor o(k).
-2*(k + 11)*(k + 44)**2/7
Factor 16/3*q - 215/9 - 1/9*q**2.
-(q - 43)*(q - 5)/9
Factor 1551/2*t + 222 - 21/4*t**2.
-3*(t - 148)*(7*t + 2)/4
Suppose 1/7*y**2 + 416025/7 - 1290/7*y = 0. Calculate y.
645
Let i(b) = b + 1. Let k(l) = l**3 - 2*l - 1. Let f(r) = 4*r - 40. Let t be f(13). Let v be ((-56)/18)/(-4) - t/(-54). Let c(x) = v*k(x) - i(x). Factor c(q).
(q - 2)*(q + 1)**2
Let s be (84069/567 - 3) + ((-552)/(-54))/23. Solve 0 - 242/7*k**5 - 1122/7*k**4 - s*k**3 + 488/7*k**2 - 48/7*k = 0 for k.
-3, -2, 0, 2/11
Factor 55*b**2 + 16*b - 14*b**2 - b**3 - 48 - 27*b**2 - 2*b + 21*b.
-(b - 16)*(b - 1)*(b + 3)
Let p(s) = -6*s - 80. Let v be p(-14). Factor -9*y**5 + 150*y**3 + 85*y**v + 24*y**5 - 16*y + 67*y**2 - 7*y**2 - 24*y.
5*y*(y + 2)**3*(3*y - 1)
Factor 30*h**3 - h**4 + 525*h + 21*h**3 - 295*h**2 + 1250 - 378*h**2.
-(h - 25)**2*(h - 2)*(h + 1)
Let a(m) be the second derivative of m**4/20 + 12*m**3/5 - 78*m**2/5 + 2*m - 721. Factor a(x).
3*(x - 2)*(x + 26)/5
Let x(u) = 9*u**2 - 5*u + 4. Let i(t) = -11*t**2 + 6*t - 4. Let f be 272/(-48) - 1/3. Let n(v) = f*x(v) - 5*i(v). Determine b, given that n(b) = 0.
-2, 2
Suppose f - 7 = -0*z - z, 5*f = 20. Suppose 9*j + 0*j**z + 93*j + 23*j - 50*j**2 + 5*j**3 = 0. What is j?
0, 5
Suppose -5*z = 3*x - 22, 5*x = -9*z + 5*z + 28. Let 391*p**3 - 13*p**2 + x + 7 - 403*p**3 + 12*p + 3*p**2 - p**4 = 0. What is p?
-11, -1, 1
Let o be 608/266*(-2)/((-12)/7). Let s(y) be the second derivative of -o*y**4 - 32/3*y**3 - 8*y + 0*y**2 - 1/5*y**5 + 0. Factor s(w).
-4*w*(w + 4)**2
Let h(y) be the second derivative of y**5/40 - 25*y**4/72 + 2*y**3/9 + 19*y + 19. Factor h(z).
z*(z - 8)*(3*z - 1)/6
Let q(i) = -i**5 + 5*i**4 + 11*i**3 - 79*i**2 - 2. Let z(p) = p**5 - 3*p**4 - 12*p**3 + 78*p**2 + 3. Let s(w) = -3*q(w) - 2*z(w). Factor s(j).
j**2*(j - 9)*(j - 3)*(j + 3)
Let k = 342 - 97. Factor 2*p**2 + p**5 + 495*p - 247*p - k*p - 2 - 4*p**3.
(p - 1)**3*(p + 1)*(p + 2)
Let k(x) = -10*x**2 + 434*x - 451. Let b(j) = j**2 + 2. Let o(u) = -18*b(u) - 2*k(u). Factor o(h).
2*(h - 433)*(h - 1)
Let p(v) be the second derivative of v**5/50 - v**4/10 - v**3/15 + 3*v**2/5 + 137*v + 3. Factor p(a).
2*(a - 3)*(a - 1)*(a + 1)/5
Let v(w) be the first derivative of 2*w**5/45 - w**4 - 40*w**3/9 - 62*w**2/9 - 14*w/3 - 493. Factor v(l).
2*(l - 21)*(l + 1)**3/9
Let -10*z**4 + 36*z**4 - 34*z**5 + 46*z**3 - 22*z**5 + 55*z**4 - 2*z - 9*z**2 + 84*z**5 = 0. Calculate z.
-2, -1, -1/7, 0, 1/4
Let w(k) = 126 + 227*k + 39 - 75*k + 8 - 33. Let m(h) = -h**2 - 151*h - 141. Let i(j) = -4*m(j) - 3*w(j). Factor i(b).
4*(b + 1)*(b + 36)
Let w(y) be the third derivative of -y**6/90 + 2*y**5/15 - 46*y**3/3 - y**2 - 30*y. Let p(b) be the first derivative of w(b). Factor p(f).
-4*f*(f - 4)
Let s(t) be the second derivative of -t**5/10 + 4*t**4/3 + 91*t**3/3 - 98*t**2 + 731*t. What is p in s(p) = 0?
-7, 1, 14
Let o = -12644/45 + 281. Let y(s) be the second derivative of -1/18*s**4 - 15*s + 0 + 0*s**2 + 1/30*s**5 + o*s**6 - 1/63*s**7 + 0*s**3. Factor y(b).
-2*b**2*(b - 1)**2*(b + 1)/3
Let x(k) be the third derivative of -k**8/1344 - k**7/504 - 7*k**4/12 + k**3/3 - 288*k**2. Let q(o) be the second derivative of x(o). Let q(y) = 0. What is y?
-1, 0
Let k(r) be the third derivative of 5*r**5/12 - 35*r**4/6 + 25*r**3/2 + 105*r**2. Solve k(j) = 0.
3/5, 5
Let n(o) be the first derivative of -2/21*o**3 + 1/14*o**4 + 94 - 6/7*o**2 + 0*o. Factor n(r).
2*r*(r - 3)*(r + 2)/7
Let a = 5866427/15 + -391095. Find w such that 2/15*w**2 + 0 + 28/15*w - a*w**4 - 28/15*w**3 = 0.
-14, -1, 0, 1
Let m(x) be the first derivative of -x**6/30 + 2*x**5/15 - x**2/2 - 34*x + 41. Let r(l) be the second derivative of m(l). Determine o so that r(o) = 0.
0, 2
Let x(s) be the second derivative of s**6/45 + 34*s**5/3 + 3211*s**4/2 - 340*s**3/9 - 28900*s**2/3 + 64*s - 5. Let x(t) = 0. Calculate t.
-170, -1, 1
Let l = 410 - 1228/3. Let r be (-3)/2*32/(-36). Factor -2/3*p - r + l*p**2.
2*(p - 2)*(p + 1)/3
Let -206*s + 1246*s - 57*s**2 - 674 - 576 + 194 - 4*s**3 - 191*s**2 = 0. What is s?
-66, 2
Let i(n) = -106*n + 3*n**3 - 6 + 320*n - 105*n - 112*n - 30*n**2. Let o(u) = 2 + u - 2 + u**2. Let w(l) = i(l) + 18*o(l). Factor w(h).
3*(h - 2)*(h - 1)**2
Let n(t) = -t**3 + t**2 + t - 4. Let a(z) = z**3 - 79*z**2 + 79*z + 168. Let r(g) = 2*a(g) + 6*n(g). Suppose r(y) = 0. Calculate y.
-39, -1, 2
Let q(y) = -y**2 + y + 8. Let d be q(-2). Factor -14*v**3 - 18*v + 23*v**2 - 53*v**2 + 2*v**4 - 4*v**d.
2*v*(v - 9)*(v + 1)**2
Let p be (-1 - -23) + 6 - 22. Let t(d) be the first derivative of -2/7*d**2 + 37 + 10/21*d**3 + 0*d - 3/14*d**4 + 1/21*d**p - 2/35*d**5. Solve t(h) = 0 for h.
-2, 0, 1
Find a such that -20*a**4 + 3*a**3 - 3798*a**2 + 5*a**5 + a**3 + 3878*a**2 - 80*a - 4*a**3 = 0.
-2, 0, 2
Let k(r) be the first derivative of -4*r**5/5 - 488*r**4/7 - 156*r**3 - 404*r**2/7 + 544*r/7 - 3287. Solve k(s) = 0 for s.
-68, -1, 2/7
Determine y so that 0 + 1/2*y**5 + 37260*y**2 + 385641/2*y + 1179*y**3 - 60*y**4 = 0.
-9, 0, 69
Let p(m) = -5*m**2 + 39*m + 114. Let s(y) = 2*y**2 - 13*y - 38. Let b(o) = 3*p(o) + 8*s(o). Let v be b(-9). Factor 1/3*l**v - l + 2/3.
(l - 2)*(l - 1)/3
Suppose 3*d = 8*d - 10. Determine i so that 94*i**3 + 94*i**3 - 2*i**d - 6*i**2 - 271*i**3 - 12*i + 8 + 95*i**3 = 0.
-1, 2/3, 1
Let h(m) be the second derivative of 3