13*d - 88/13*d**2 - b = 0. Calculate d.
2/3, 7
Let a(f) be the third derivative of 0 + 0*f**3 - 1/1680*f**8 - 1/525*f**7 + 1/150*f**5 + 0*f - 15*f**2 + 1/120*f**4 + 0*f**6. Factor a(h).
-h*(h - 1)*(h + 1)**3/5
Let y(w) = w**3 + 11*w + 1245. Let k be y(0). Suppose 0 = -3*b + 5*b - 2490. Factor -k*v + 4*v**2 + b*v.
4*v**2
Let k = -19212/55 - -3904/11. Solve 4/5*t**2 + k + 32/5*t = 0.
-7, -1
Let c(a) = 2*a**2 + 102*a + 111. Let r(p) = p**2 + 50*p + 55. Let x(k) = -6*c(k) + 11*r(k). Factor x(t).
-(t + 1)*(t + 61)
Let w(m) be the third derivative of m**7/14 + 7*m**6/40 - 2*m**5/5 - m**4/2 - 1929*m**2. Suppose w(z) = 0. What is z?
-2, -2/5, 0, 1
Let p(r) be the first derivative of r**4/60 - r**3/3 - 11*r**2/10 - 145*r - 133. Let g(w) be the first derivative of p(w). Solve g(m) = 0.
-1, 11
Let s(q) be the second derivative of 7*q**5/330 + 25*q**4/33 + 28*q**3/33 + 19*q**2/2 - 81*q + 2. Let i(k) be the first derivative of s(k). Factor i(o).
2*(o + 14)*(7*o + 2)/11
Determine m so that -43*m**3 + 31 + 868*m + 1 + 174*m**3 + 992*m**2 + 33*m**3 + 8 = 0.
-5, -1, -2/41
Let r(q) be the third derivative of -1 - 161/135*q**5 + 49/540*q**6 + 0*q - 8/9*q**3 + 24*q**2 + 43/27*q**4. Factor r(x).
2*(x - 6)*(7*x - 2)**2/9
Suppose 18 = -b + 4. Let d = b - -52. Factor -12*l**2 - d*l + 46*l + 6*l**3 - 2*l**3.
4*l*(l - 2)*(l - 1)
Let p(c) = 55*c**2 + 10*c - 45. Let n(s) = -6*s + 13*s + 53*s**2 + 8*s**3 - 35 - 9*s**3 + 2*s - 10. Let y(a) = -5*n(a) + 4*p(a). Factor y(f).
5*(f - 9)*(f - 1)*(f + 1)
Let h = 3978425/6 + -662955. Find q, given that 10/3 + 125/6*q**5 + 475/6*q**4 + 485/6*q**2 + 80/3*q + h*q**3 = 0.
-1, -2/5
Let b be (615 - 611) + 8 + (-2 - -3). Let z(j) be the second derivative of b*j + 0 + 2/33*j**3 - 1/66*j**4 - 1/11*j**2. Factor z(t).
-2*(t - 1)**2/11
Let j(s) be the first derivative of s**6/600 + s**5/150 + s**4/120 + 7*s**2/2 + 8*s - 215. Let v(d) be the second derivative of j(d). Factor v(g).
g*(g + 1)**2/5
Let y(z) be the third derivative of z**5/30 - 4*z**4/3 - 12*z**3 - 171*z**2 + 4. Find v, given that y(v) = 0.
-2, 18
Suppose -2*n = -3*h, 0 = -2*h + 6*n - 10*n + 16. Factor -5*p - p - 10 - 1 + 8*p + h*p**2 - 1.
2*(p - 2)*(p + 3)
Let a(l) be the third derivative of -l**6/150 + 37*l**5/75 - 117*l**4/10 + 42*l**3 - 2995*l**2 + l. Factor a(x).
-4*(x - 21)*(x - 15)*(x - 1)/5
Let q(t) be the third derivative of t**5/12 + 5*t**4/12 - 20*t**3 - 2*t**2 - 127. Factor q(w).
5*(w - 4)*(w + 6)
Let i(y) = y**3 + 8*y**2 - 2*y + 2122. Let u be i(0). Let b = 2122 - u. Factor -5/3*o**2 + 0*o + 1/3*o**3 + b.
o**2*(o - 5)/3
Let s = 116 + -112. Factor 3*u**s - 39*u**2 + 187*u**3 + 20*u**2 + 5*u - 175*u**3 - 38*u**2 + 37*u.
3*u*(u - 2)*(u - 1)*(u + 7)
Suppose -22*k = -24*k + 20. Let u be 6/k - (-216)/90. Determine v so that 0 + 0 - 68*v**3 - 4*v + 72*v**u = 0.
-1, 0, 1
Let f = 5883/3185 - 30/637. Let w = -5 - -7. Factor 3/5*b**w + f*b + 6/5.
3*(b + 1)*(b + 2)/5
Let k(f) = -f**3 + 129*f**2 + 252*f - 15860. Let a be k(130). Factor 0 + 0*h**3 - 1/4*h**4 + 1/4*h**2 + a*h.
-h**2*(h - 1)*(h + 1)/4
Let i be 0/(0 - -4 - (8 + 1)). Suppose -3*w - 9 = 0, i = -15*r + 11*r + w + 11. Factor 8/5*s**r - 2/5*s**5 + 6/5*s**3 - 4/5*s**4 - 8/5*s + 0.
-2*s*(s - 1)**2*(s + 2)**2/5
Let l(m) = 29*m**3 + 1420*m**2 - 48*m + 52. Let r be l(-49). Factor -166375/2*d - 55/2*d**r + 1/8*d**4 + 9150625/8 + 9075/4*d**2.
(d - 55)**4/8
Let g = 634/9 - 1241/18. Let r(l) be the first derivative of -8/3*l**3 + 9*l + 19 + 3*l**2 - 1/5*l**5 - g*l**4. Factor r(x).
-(x - 1)*(x + 1)*(x + 3)**2
Let u(a) be the first derivative of a**5/5 + 63*a**4/8 + 541*a**3/6 + 705*a**2/4 + 225*a/2 + 5536. Determine p so that u(p) = 0.
-15, -1, -1/2
Suppose 130*i - 311*i = -905. Let m(x) be the second derivative of -3/2*x**4 - 12*x**2 + 3/20*x**i + 6*x**3 + 0 - 13*x. Let m(u) = 0. Calculate u.
2
Let r be (-5)/(-20)*-7 + 4/(-16). Let y be (-58)/(-9) + (r + 1)*2. Determine p, given that y*p**2 + 4 + 2/3*p**3 + 26/3*p = 0.
-3, -2/3
Let v be 3/(648/16)*48. Let t(p) = -22*p + 179. Let w be t(8). Solve -16/9*k**w - v - 2/9*k**4 - 16/3*k**2 - 64/9*k = 0 for k.
-2
Let a(q) be the second derivative of 15*q**2 + 3 + 39/2*q**3 + 7/2*q**4 - 6*q. Suppose a(d) = 0. What is d?
-5/2, -2/7
Let 3/2*o**3 + 154*o**2 + 0 + 102*o - 51*o**4 - 1/2*o**5 = 0. Calculate o.
-102, -1, 0, 2
Let r = -63 + 275. Suppose 3*o - o = r. Factor 54*j - o*j - 4*j**2 + 92*j - 36.
-4*(j - 9)*(j - 1)
Let w(f) = -2*f - 58. Let j be w(-28). Let n be j/14 - (-6623)/1036. Suppose 0 - 5/4*v**2 + n*v = 0. What is v?
0, 5
Let g be 40/(-28)*(-25)/10 + 16 + -19. Let s be (3/(-21))/(3/(-18)). Determine q so that -g - s*q**2 + 2*q = 0.
1/3, 2
Suppose 50*t = 46*t - 2*d + 24, -3*t + 33 = 4*d. Factor -64/13 - 2/13*l**4 + 112/13*l + 20/13*l**t - 72/13*l**2.
-2*(l - 4)*(l - 2)**3/13
Factor -4173281/5*h**5 - 3468*h - 7325661*h**3 - 72/5 + 4976832*h**4 - 277630*h**2.
-(h - 3)**2*(161*h + 2)**3/5
Let w(l) be the second derivative of l**5/80 - l**4/2 + 15*l**3/2 - 50*l**2 + 2*l - 268. Let w(r) = 0. What is r?
4, 10
Let w(b) be the first derivative of -b**6/540 - b**5/20 + 63*b**3 - 156. Let t(s) be the third derivative of w(s). Factor t(x).
-2*x*(x + 9)/3
Let l = 27 - 35. Let c(m) = -2*m**2 - 16*m + 7. Let z be c(l). Suppose 3 - 1 - 13*x**3 - 10*x**3 + 3*x**2 + 24*x**2 + z*x**4 - 13*x = 0. What is x?
2/7, 1
Let n = 175/164 - 1597/1804. Factor -n*i**4 - 20/11*i**3 + 0 - 64/11*i**2 - 64/11*i.
-2*i*(i + 2)*(i + 4)**2/11
Let p(f) = 2*f**2 + 229*f - 3300. Let k be p(13). Let h(z) be the third derivative of 0 - k*z**2 + z**4 + 1/40*z**6 + 0*z - 2*z**3 - 1/4*z**5. Factor h(i).
3*(i - 2)**2*(i - 1)
Let r be -2*(-22)/28 + 102/238. Let i be ((-306)/(-24) + -6)*r. Factor 3*b**2 + 0 + 21/2*b**4 + 0*b - i*b**3.
3*b**2*(b - 1)*(7*b - 2)/2
Let c(q) = 5*q**2 - 13*q + 24. Suppose -31*n = -30*n. Let x(y) = -y + 4*y - 6 - y**2 + n*y. Let j(l) = 4*c(l) + 18*x(l). Determine d so that j(d) = 0.
-3, 2
Let v(o) be the first derivative of o**6/2 + 123*o**5/5 + 414*o**4 + 2560*o**3 + 3072*o**2 + 2526. Determine w so that v(w) = 0.
-16, -8, -1, 0
Let s(p) be the first derivative of -p**5/35 + 5*p**4/14 - 3*p**3/7 - 26*p**2/7 - 32*p/7 + 1044. Determine w so that s(w) = 0.
-1, 4, 8
Factor -95 - 29*l - 119 - 31*l - 3*l**2 - 29 - 9.
-3*(l + 6)*(l + 14)
Find f such that -16*f**3 - 60 + 6449*f**4 - 3227*f**4 - 40*f**2 + 42*f - 3218*f**4 + 70*f = 0.
-3, 1, 5
Let o = -26406/37 + 238468/333. Factor 0 - 2/9*a**2 + o*a.
-2*a*(a - 11)/9
Let t(s) be the third derivative of s**5/15 + 165*s**4 + 163350*s**3 + 4*s**2 + 88*s. Determine j, given that t(j) = 0.
-495
Let d(r) be the second derivative of -r**9/60480 + r**8/5376 + r**7/1680 + 7*r**4/4 - r**3/6 + 61*r + 1. Let p(b) be the third derivative of d(b). Factor p(k).
-k**2*(k - 6)*(k + 1)/4
Suppose 5*s + 407 = 5*k + 7*s, 4*k + 4*s = 328. Let w = -75 + k. Let -1 + 10 - 14*g + w*g - 12*g**2 - 25*g = 0. What is g?
-3, 1/4
Let l(i) = 3*i**4 + i**3 - i**2 - 2*i + 1. Let t(j) = -14*j**4 - 263*j**3 - 2052*j**2 + 38706*j + 40497. Let c(g) = 3*l(g) + t(g). Factor c(b).
-5*(b - 9)*(b + 1)*(b + 30)**2
Let h(u) be the second derivative of -u**6/120 + 49*u**5/80 - 169*u**4/48 - 163*u**3/8 - 135*u**2/4 + 765*u. Factor h(k).
-(k - 45)*(k - 6)*(k + 1)**2/4
Suppose -2*y**3 - 7/3*y**4 + 0*y + 0*y**2 + 0 = 0. What is y?
-6/7, 0
Factor -11*r - 3226 + 8*r + 3700*r**2 + 325 - 2*r + 5*r**3 - 799.
5*(r - 1)*(r + 1)*(r + 740)
Let k = 12503005 - 12502999. Suppose 2*i = -4*n - 0*i + 18, n - i = -3. Find w, given that 28/3 - 40/3*w**n + k*w - 2*w**3 = 0.
-7, -2/3, 1
Let q be 2/(-4)*-20*((-132)/(-385))/6. Factor 5/7*c**3 + 0 + 0*c + 2/7*c**2 + 1/7*c**5 + q*c**4.
c**2*(c + 1)**2*(c + 2)/7
Let t(u) be the first derivative of -3/8*u**2 - 1/12*u**3 - 1/2*u - 42. Suppose t(g) = 0. What is g?
-2, -1
Let p(v) = -16*v**4 + 22*v**3 - 24*v**2 + 14*v. Let z(y) = 18*y**4 - 21*y**3 + 23*y**2 - 15*y. Let i(d) = 5*p(d) + 4*z(d). Let i(q) = 0. Calculate q.
0, 1, 5/4
Let c(u) be the second derivative of u**4/42 + 64*u**3/21 - 272*u**2/7 + 5052*u. Factor c(i).
2*(i - 4)*(i + 68)/7
Let v(d) be the third derivative of 2/3*d**3 + 0 + 0*d - 11/24*d**4 - 63*d**2 + 7/60*d**5. Factor v(h).
(h - 1)*(7*h - 4)
Suppose 31*a + 19 = 19. Suppose 117*i - 131*i = a. Find z such that 16/7*z**4 + 48/7*z**2 + 2/7*z**5 + 44/7*z**3 + i + 18/7*z 