2/11
Let v be (4/(-294)*-21)/(6/14). Let u(z) be the first derivative of -v*z**6 - 8/3*z**3 + 30 - 4*z**4 - 8*z + 10*z**2 + 16/5*z**5. Factor u(a).
-4*(a - 2)*(a - 1)**3*(a + 1)
Let w = -21268 + 21273. Let q(f) be the second derivative of 0*f**2 - f**3 - 1/10*f**6 + 3/10*f**w + 1/4*f**4 - 12*f + 0. Factor q(n).
-3*n*(n - 2)*(n - 1)*(n + 1)
Let j(f) be the third derivative of -f**5/300 - 43*f**4/40 + 476*f**3/15 - 2*f**2 - 569. Factor j(z).
-(z - 7)*(z + 136)/5
Let w(l) be the first derivative of -16*l**5/5 + 22*l**4 + 31*l**3/3 - 793*l**2/2 + 1014*l - 913. What is c in w(c) = 0?
-3, 2, 13/4
Let l(f) be the second derivative of f**6/120 + f**5/3 + 77*f**4/24 - 121*f**3/3 - 109*f**2/2 - 12*f - 1. Let q(z) be the first derivative of l(z). Factor q(t).
(t - 2)*(t + 11)**2
Let 20/7 - 37/7*w**4 + 5/7*w**5 + 17/7*w**2 - 64/7*w + 59/7*w**3 = 0. What is w?
-1, 2/5, 1, 2, 5
Let p(k) be the third derivative of 1/60*k**5 - 25*k**2 + 1/1080*k**6 + 0 + 0*k - 25/6*k**3 + 1/8*k**4. Let c(y) be the first derivative of p(y). Factor c(b).
(b + 3)**2/3
Let b(a) be the second derivative of 1/12*a**3 + 1/12*a**4 - 5/6*a**2 + 1/120*a**5 - 10*a + 1. What is y in b(y) = 0?
-5, -2, 1
Find y such that 2118 + 4*y**2 + 316*y - 191 + 196 + 397 = 0.
-70, -9
Solve 25*v**2 + 3*v**5 - 25/2*v**4 - 7/2*v**3 + 0 - 12*v = 0.
-3/2, 0, 2/3, 1, 4
Let w(b) be the third derivative of b**6/24 + 3*b**5/4 - 215*b**4/8 + 595*b**3/6 - 2*b**2 - 508*b. Factor w(r).
5*(r - 7)*(r - 1)*(r + 17)
Let y = -136 - 142. Let v = y - -1402/5. Let 0*j + 0 - 4/5*j**5 - v*j**3 - 4/5*j**2 - 12/5*j**4 = 0. What is j?
-1, 0
Let l(k) be the third derivative of -k**5/45 - 19*k**4/9 - 1039*k**2. Factor l(h).
-4*h*(h + 38)/3
Let 51/2*s + 67/2*s**2 - 63 + 9/2*s**3 - 1/2*s**4 = 0. Calculate s.
-3, 1, 14
Find q, given that 310*q**2 - 490*q**3 + 191 - 596 + 561*q**5 + 95*q**4 - 566*q**5 + 495*q = 0.
-1, 1, 9
Let w(g) = -g**2 - 11*g - 27. Let c be w(-6). Let u be (-45)/10 - 6*-1. Suppose 3/2*y**2 + c*y + u = 0. Calculate y.
-1
Let b(h) be the third derivative of 0 + 1/3*h**3 + 80*h - 2*h**2 - 1/240*h**5 - 1/48*h**4. Factor b(y).
-(y - 2)*(y + 4)/4
Let l be ((-7)/4 - (-4095)/1260)/(54/80). Factor -2/9*p**2 + 2*p + l.
-2*(p - 10)*(p + 1)/9
Let f(n) = 4*n**3 - 6561*n**2 + 1072554*n + 537872. Let k(s) = 75*s**3 - 124660*s**2 + 20378525*s + 10219560. Let j(b) = 115*f(b) - 6*k(b). Factor j(y).
5*(y - 328)**2*(2*y + 1)
Factor -149*o**3 - 2823 - 1727*o**2 - 9150*o - 1413*o**2 + 207 - 3379*o**2 + 164*o**3.
3*(o - 436)*(o + 1)*(5*o + 2)
Let y(o) be the first derivative of o**4/26 + 568*o**3/39 - 44*o**2 + 2868. Determine i so that y(i) = 0.
-286, 0, 2
Let x(s) be the third derivative of s**8/448 + s**7/42 + s**6/96 - s**5/6 + s**4/8 + 7*s**2 + 122. Let x(a) = 0. Calculate a.
-6, -2, 0, 1/3, 1
Let r be 0*1*(0 + 1). Factor 9*i**2 - 157*i + r*i**2 - 16 + 163*i + i**3.
(i - 1)*(i + 2)*(i + 8)
Suppose 0 = 4*d - 3*l + 14, d + 4*l = 6*d + 18. Let c be d/5 - (456/(-90) + 4). What is z in -z**3 + 4/3*z**2 - c + 1/3*z = 0?
-2/3, 1
Factor 11/2*i**3 - 162*i - 81/4*i**2 - 1/4*i**4 + 540.
-(i - 12)**2*(i - 3)*(i + 5)/4
Let t(c) be the third derivative of -c**5/300 - 193*c**4/12 - 186245*c**3/6 - 77*c**2 - 23. Factor t(v).
-(v + 965)**2/5
Let m(o) be the first derivative of o**5/5 - 4*o**4/3 - 8*o**3 + 52*o - 40. Let a(x) be the first derivative of m(x). Determine k, given that a(k) = 0.
-2, 0, 6
Let a(n) be the third derivative of 104*n**2 + 0 + 0*n**4 + 0*n - 1/20*n**5 - 1/32*n**6 + 0*n**3 - 1/280*n**7. Factor a(u).
-3*u**2*(u + 1)*(u + 4)/4
Let d(g) be the second derivative of -g**4/32 + g**3/8 + 9*g**2/2 + 5703*g. Let d(m) = 0. What is m?
-4, 6
Let m(q) be the third derivative of -q**8/840 + 4*q**7/175 + 27*q**6/100 + 34*q**5/75 - 6981*q**2. Find h such that m(h) = 0.
-4, -1, 0, 17
Let t(s) be the first derivative of -s**4/10 - 2*s**3/3 + 32*s**2/5 - 72*s/5 - 665. Factor t(b).
-2*(b - 2)**2*(b + 9)/5
Suppose 455*a = 459*a. Let z(l) be the third derivative of a*l + 2/3*l**4 + 1/180*l**6 + 1/10*l**5 - 20*l**2 + 0 + 16/9*l**3. Determine h so that z(h) = 0.
-4, -1
Let b(w) be the first derivative of 0*w - 3*w**4 + 250 - 128/3*w**3 + 22*w**2. Solve b(s) = 0.
-11, 0, 1/3
Let -3/4*f**2 - 243 - 27*f = 0. Calculate f.
-18
Let v be (-6)/((-6)/3) + 0. Let m be (-2*3)/(8 - 10). Suppose -10*h**2 - 45*h**m + 21*h**3 - 16*h - 8 + 22*h**v = 0. What is h?
-2, -1
Factor -97*a**2 + 34 - 22*a - 40*a + 30*a + 95*a**2.
-2*(a - 1)*(a + 17)
Let w(y) be the second derivative of 0*y**3 + 0*y**2 + 0*y**5 + 1/112*y**7 - 2*y - 1/40*y**6 + 1 + 0*y**4. Find a such that w(a) = 0.
0, 2
Let a(j) be the first derivative of -830/3*j**3 + 53 + 30*j**4 + 660*j**2 - 605*j - j**5. Factor a(z).
-5*(z - 11)**2*(z - 1)**2
Let q(t) be the third derivative of t**5/30 + 17*t**4/3 - 140*t**3/3 + 2*t**2 - 1760. Factor q(u).
2*(u - 2)*(u + 70)
Let d(h) = 2*h**3 + 2. Let g be d(0). Let r(f) = 15*f**2 - 55*f - 60. Let p(k) = -7*k**2 + 27*k + 30. Let b(w) = g*r(w) + 5*p(w). Factor b(a).
-5*(a - 6)*(a + 1)
Suppose 109 = 123*c - 137. Let p(f) be the second derivative of -1/4*f**3 - 3/80*f**5 + 0 + 0*f**c + 4*f + 3/16*f**4. Factor p(h).
-3*h*(h - 2)*(h - 1)/4
Suppose 10*g - 150 - 730 = 0. Factor 12*p**2 + 24*p**2 + g*p - 34*p**2.
2*p*(p + 44)
What is j in -126 - 444 + 18 - 550*j + 2*j**2 = 0?
-1, 276
Let c be 3/(-1 - -1*2). Suppose -2*y + q + 7 + 24 = 0, -2*y = 5*q - 13. Factor y - 4*x**3 + c*x**2 + 18 + 12 - 42 + 9*x.
-(x - 2)*(x + 1)*(4*x + 1)
Let r(a) be the first derivative of 3*a**5/5 + 33*a**4/2 + a**3 - 1980*a**2 + 10800*a - 80. Factor r(n).
3*(n - 4)**2*(n + 15)**2
Let x(y) = -8*y**3 - 156*y**2 + 110*y - 12. Let v(a) = a**3 - 2*a**2 + 10*a + 2. Let u(o) = -6*v(o) - x(o). Factor u(p).
2*p*(p - 1)*(p + 85)
Suppose 5*k = 5*q + 8*k - 16, -q + 3*k = 4. Let s(f) be the first derivative of -8/7*f**q - 2*f - 2/21*f**3 + 5. Factor s(r).
-2*(r + 1)*(r + 7)/7
Let j = 144 - 144. Suppose j = 8*x + 6*x - 8*x. Let x - 6/13*f - 2/13*f**2 = 0. Calculate f.
-3, 0
Let j(z) be the second derivative of 20*z + 1/15*z**6 + 1 + 0*z**2 - 4*z**3 + 25/6*z**4 - 7/5*z**5. Factor j(q).
2*q*(q - 12)*(q - 1)**2
Let w(x) be the third derivative of -x**6/24 + 43*x**5/60 + x**4 - x**3 + 39*x**2 - 1. Let c(t) = t**3 - 2*t**2 + t + 1. Let s(a) = 6*c(a) + w(a). Factor s(y).
y*(y + 1)*(y + 30)
Let x(n) be the first derivative of n**6/900 + 3*n**5/100 - 94*n**3/3 + 28. Let l(c) be the third derivative of x(c). Factor l(j).
2*j*(j + 9)/5
Let n(q) be the second derivative of 55*q**4/4 + 685*q**3/6 + 50*q**2 + 1275*q. Factor n(f).
5*(f + 4)*(33*f + 5)
Solve -309*h**4 - 60 - 5093/3*h**2 - 592*h - 27*h**5 - 3559/3*h**3 = 0 for h.
-5, -3, -2/9
Let p(a) be the first derivative of -3*a**5/10 + 111*a**4/4 + 77*a**3/2 - 225*a**2/2 - 826. Solve p(w) = 0.
-2, 0, 1, 75
Solve 61/5*k**2 - 24*k + 11/5*k**3 - 8/5*k**4 + 36/5 = 0 for k.
-3, 3/8, 2
Factor 224*u + 293*u**2 + 73*u**3 - 9*u**2 - 9*u**3 + 4*u**4.
4*u*(u + 1)*(u + 7)*(u + 8)
Suppose -5*q - 3*i + 4 = 0, -2*q + 13 - 7 = -i. Factor -90 - 65*f + 370*f**q - 192*f**3 + 237*f**3 - 260*f.
5*(f - 1)*(f + 9)*(9*f + 2)
Let p = 1774/2195 + -18/2195. Suppose -2/15*u**2 + 0 - p*u = 0. Calculate u.
-6, 0
Let i(t) be the third derivative of -t**5/660 - 5*t**4/132 + 4*t**3/11 - 4817*t**2. Factor i(b).
-(b - 2)*(b + 12)/11
Let m(x) = x**2 + 9*x + 28. Let p be m(-3). Suppose p*s + 185 = 47*s. Suppose 0 + 3/4*l - 9/8*l**3 + 3/8*l**s + 3/8*l**2 - 3/8*l**4 = 0. What is l?
-1, 0, 1, 2
Let u = 971123/36 + -26973. Let p = -5/36 + u. Find v, given that 4*v + p*v**2 + 2 + 1/2*v**3 = 0.
-2, -1
Let g(u) = -8*u**3 - 65*u**2 + 14*u**3 + 55 + 14*u - 5*u**3. Let c(t) = -2*t**3 + 66*t**2 - 16*t - 54. Let a(h) = -5*c(h) - 6*g(h). Solve a(i) = 0.
-15, -1, 1
Let r(c) be the first derivative of -c**6/21 + 408*c**5/35 - 9777*c**4/14 - 127276*c**3/21 - 18660*c**2 - 25200*c + 4275. Factor r(m).
-2*(m - 105)**2*(m + 2)**3/7
Suppose 0 = 576*q - 582*q + 24. Suppose -4*m - q*m = -m. What is r in 0 - 2*r**3 + 2/3*r**4 + 0*r**2 + m*r = 0?
0, 3
Let s be (-814)/(-111)*(-2)/4. Let p = s - -13/3. Factor -p - y**2 + 1/3*y**4 + 1/3*y**3 - 5/3*y.
(y - 2)*(y + 1)**3/3
Let o(m) be the third derivative of -m**5/150 + 161*m**4/30 - 25921*m**3/15 + 612*m**2. Factor o(r).
-2*(r - 161)**2/5
Let d(n) be the third derivative of 3/68*n**4