540 + 7*y**5/720 - 89*y**4/12 - 83*y. Let u(r) be the third derivative of j(r). Factor u(f).
(f + 1)*(f + 7)/6
Let w(f) be the second derivative of -f**5/4 - 55*f**4/12 + 10*f**3/3 + 110*f**2 - 2*f + 101. Find a, given that w(a) = 0.
-11, -2, 2
Let z(i) = -17*i**3 + 6*i**2 + 39*i + 56. Let t(j) = 37*j**3 - 11*j**2 - 77*j - 113. Let h(k) = -6*t(k) - 13*z(k). Solve h(x) = 0 for x.
-5, -2
Factor -3/2*n**4 + 0 - 6*n**3 - 15/2*n**2 - 3*n.
-3*n*(n + 1)**2*(n + 2)/2
Suppose 42*c - 1512 = 30*c. Let z = c + -122. Factor 0 - z*r**2 - 8/3*r + 4/3*r**4 + 0*r**3.
4*r*(r - 2)*(r + 1)**2/3
Factor -5*a**2 + 4469*a - 2563280 + 1877*a + 814*a.
-5*(a - 716)**2
Let a(n) = -89*n**2 + 1. Let k be a(1). Let c = k - -90. Find w such that -51*w**2 - w**3 + 2*w + 50*w**c + 0*w + 0*w**3 = 0.
-2, 0, 1
Factor -2/19*u**2 + 0 - 160*u.
-2*u*(u + 1520)/19
Let s(k) be the first derivative of k**5/25 - k**4/10 - 23*k**3/15 + 12*k**2/5 + 144*k/5 - 2112. Find y such that s(y) = 0.
-3, 4
Let g = -5 + 2. Let p(s) = 19*s**2 + 2*s - 3. Let v be p(g). Factor -90 + 91 + 324*j - v*j**2 - 3*j**4 - 244 + 36*j**3.
-3*(j - 3)**4
Factor 3696*l + 4018*l**2 - 8121*l**2 + 4099*l**2.
-4*l*(l - 924)
Let w(u) = u**3 - 3*u**2 - 13*u + 2. Let s(t) = 3*t - 2. Let b(v) = -3*s(v) - 3*w(v). Let b(g) = 0. Calculate g.
-2, 0, 5
Let v(q) be the second derivative of 73*q + 1/30*q**6 - 1/20*q**5 + 0 + 0*q**3 + 0*q**2 - 1/6*q**4. Factor v(y).
y**2*(y - 2)*(y + 1)
Let d be ((90/(-108))/((-2)/4))/1. Let k(o) be the first derivative of 0*o + d*o**3 + 5/4*o**4 - 5 + 0*o**2. Let k(a) = 0. What is a?
-1, 0
Let j be -4 + 12/(-20) + 5 + 273/105. Factor 0*a - 32/15*a**2 + 0 - 2/15*a**4 + 34/15*a**j.
-2*a**2*(a - 16)*(a - 1)/15
Let i(l) be the first derivative of -1/30*l**4 + 13 + 1/100*l**5 + 4*l + 0*l**3 + 0*l**2 + 1/150*l**6. Let k(f) be the first derivative of i(f). Factor k(o).
o**2*(o - 1)*(o + 2)/5
Let r(a) = 292*a**2 + 129*a - 845. Let y(m) = 351*m**2 + 129*m - 846. Let x(k) = 6*r(k) - 5*y(k). Let x(o) = 0. What is o?
8, 35
Let a(o) be the second derivative of -o**5/50 + 2*o**4/15 + 27*o**3/5 - 324*o**2/5 + 1373*o - 1. Factor a(n).
-2*(n - 9)*(n - 4)*(n + 9)/5
Suppose -2*v - 4*p - 128 = -144, -4*p + 2 = -5*v. Find l such that l**v - 4/5*l + 0 - 1/5*l**3 = 0.
0, 1, 4
Determine f so that 72/19*f - 2/19*f**4 + 0 + 30/19*f**3 + 104/19*f**2 = 0.
-2, -1, 0, 18
Solve -393/2*t**2 - 783/4*t - 3/4*t**3 + 0 = 0 for t.
-261, -1, 0
Let -171698/5 - 2/5*x**2 + 1172/5*x = 0. Calculate x.
293
Let v be (-14 - -2)*(0 + -1). Suppose -5*z + 2*i = -28, 5*z - i + 9 = 33. Factor -13*t + 23*t - v*t - z*t**3 - 5*t**2 - t**4.
-t*(t + 1)**2*(t + 2)
Let w(h) be the third derivative of 1/6*h**4 - 2/3*h**5 - h + 10/3*h**3 + 26*h**2 + 1/84*h**8 + 0 - 1/15*h**6 + 2/21*h**7. Solve w(u) = 0.
-5, -1, 1
Let b be 21/(-3) - (-9)/3. Let w(o) = 4*o**2 - 6*o - 6. Let r(k) be the first derivative of k**3/3 - k**2/2 - 18. Let c(i) = b*r(i) + 2*w(i). Factor c(s).
4*(s - 3)*(s + 1)
Let a(b) = 3*b**2 + 5*b - 28. Let y be a(-4). Let o(g) be the first derivative of -9/5*g**5 + y*g**2 + 0*g + 3/4*g**4 - 2*g**6 + 10 + 0*g**3. Factor o(r).
-3*r**3*(r + 1)*(4*r - 1)
Let a = -28544128/15 - -1903911. Let h = a - 969. Factor -4/15*q**2 + 4/15 + 2/15*q**3 - h*q.
2*(q - 2)*(q - 1)*(q + 1)/15
Let c(f) be the third derivative of 0*f**4 - 13/24*f**5 - 9/16*f**6 - 1/42*f**7 + 0 + 0*f - 108*f**2 + 0*f**3. Find y, given that c(y) = 0.
-13, -1/2, 0
Let l = -17 + 27. Let w(g) be the first derivative of g**5 + 5*g**4/4 + 5*g**3/3 + 5*g**2/2 - 25. Let s(j) = j**3 + j**2. Let x(c) = l*s(c) + w(c). Factor x(n).
5*n*(n + 1)**3
Let y(h) be the third derivative of h**5/12 + 175*h**4/12 + 115*h**3/2 - 89*h**2 + 3*h. Suppose y(q) = 0. Calculate q.
-69, -1
Suppose -u + 5 = -2*p + 9, 2*p - 20 = -3*u. Factor 43 - 37*a**3 - 50*a**4 + 164 - 11 - 497*a + 61*a**2 + 167*a**2 + 52*a**p.
(a - 7)**2*(a - 4)*(2*a - 1)
Let z(r) = -r**2 + 350*r - 642. Let g(n) = -13*n - 1. Let k(q) = -4*g(q) - 2*z(q). Let k(d) = 0. What is d?
2, 322
Factor 0*o + 0 - 70/9*o**3 - 26/9*o**4 - 2/9*o**5 + 98/9*o**2.
-2*o**2*(o - 1)*(o + 7)**2/9
Let f be 7 + (-2860)/(-132)*(-9)/15 + 2*4. Find l such that -51/7 + 3/7*l**3 - 45/7*l**f - 99/7*l = 0.
-1, 17
Suppose 0 = -11*j - 8*j - 13*j + 4*j. Let k = -448 + 3144/7. Factor 2/7*t**4 + 0*t + 6/7*t**2 - k*t**3 + j.
2*t**2*(t - 3)*(t - 1)/7
Let d(j) be the second derivative of -4*j + 0*j**2 - 1/10*j**6 + 9/10*j**5 + 4*j**3 + 0 - 3*j**4. Factor d(w).
-3*w*(w - 2)**3
Let i(t) be the first derivative of -15*t**4/4 + 80*t**3/3 - 115*t**2/2 + 30*t - 5900. Factor i(o).
-5*(o - 3)*(o - 2)*(3*o - 1)
Let t = 70420 - 70415. Find l, given that 3/7*l**t - 12/7*l**4 + 0*l + 15/7*l**3 - 6/7*l**2 + 0 = 0.
0, 1, 2
Let u be (-2)/(-6)*(16 + -7). Factor -10*r**4 - 11*r**u - 4*r**3 - 16*r**5 + 9*r**2 + r**4 + 12*r + 19*r**5.
3*r*(r - 4)*(r - 1)*(r + 1)**2
Let z(l) be the first derivative of -25/3*l**3 + 35/2*l**2 + 5/4*l**4 - 15*l + 174. What is q in z(q) = 0?
1, 3
Let d be 8/(-3)*(-9 - (-27)/36). Let i = 12 + 1. Find t, given that d - 6 + 4*t**2 + 29*t - i*t = 0.
-2
Suppose w - 12 = -8. Factor 27*f - 6*f**2 + 0*f**2 - 29*f + w*f**2.
-2*f*(f + 1)
Let z(s) be the first derivative of -7/11*s**4 + 648/11*s + 252/11*s**2 + 2/55*s**5 - 153 + 26/33*s**3. Find h, given that z(h) = 0.
-2, 9
Let d(t) be the first derivative of -5*t**3/3 + 630*t**2 + 481. Factor d(r).
-5*r*(r - 252)
Suppose -x + 8*h = 5*h - 36, 3*x = 4*h + 83. Factor 357 - 111 - 174 - 32*p**2 + 4*p**3 + 15*p + x*p.
4*(p - 6)*(p - 3)*(p + 1)
Let r(a) = -38*a + 158. Let s be r(4). Let v(h) be the second derivative of -3/140*h**5 - 6/7*h**2 + s*h - 5/28*h**4 - 4/7*h**3 + 0. Factor v(t).
-3*(t + 1)*(t + 2)**2/7
Let 505*h**2 + 681 - 2110*h - 3*h**3 + 0*h**3 + 295*h**2 + 745*h - 113*h**2 = 0. Calculate h.
1, 227
Suppose -4*c + 2*c - 80 = 0. Let u be -1 + 6 + 10/(c/12). Factor -l**2 - 4*l - 4*l + 0*l + u + 7*l.
-(l - 1)*(l + 2)
Determine z so that -56*z - 2/9*z**3 + 68/9*z**2 - 144 = 0.
-2, 18
Factor 4/3*c**2 + 776/3 - 132*c.
4*(c - 97)*(c - 2)/3
Let k(j) be the third derivative of j**7/168 - j**6/12 - 3*j**5/8 + 35*j**4/12 - 31*j**3/6 - j**2 + 39*j. Let b(m) be the first derivative of k(m). Factor b(r).
5*(r - 7)*(r - 1)*(r + 2)
Let y(o) be the first derivative of -30 + 1/15*o**6 + 0*o - 2/25*o**5 - o**4 + 0*o**2 - 16/15*o**3. Let y(d) = 0. What is d?
-2, -1, 0, 4
Factor -804*k**2 - 5*k + 940 - 136*k**2 + 7526*k**3 - 3759*k**3 - 3762*k**3.
5*(k - 188)*(k - 1)*(k + 1)
Suppose -5*d + 37*r = 30*r + 105, -4*d + r = 15. Factor 9/4*n + d - 1/4*n**2.
-n*(n - 9)/4
Let w(v) be the second derivative of 16*v**6/15 - 17*v**5/5 - 11*v**4 + 34*v**3/3 + 50*v**2 - 971*v. Find r, given that w(r) = 0.
-1, 1, 25/8
Let g(h) be the first derivative of -1/24*h**6 - 1/16*h**4 - 40 + 0*h**3 - 1/10*h**5 + 0*h**2 + 0*h. Determine d, given that g(d) = 0.
-1, 0
Let i(x) be the third derivative of -25 + 1/270*x**5 + 1/1080*x**6 + 0*x - 1/72*x**4 + 0*x**3 - x**2. Suppose i(d) = 0. Calculate d.
-3, 0, 1
Let b(g) = -5*g**2 + 11*g - 6. Suppose 2*z + 2*z = -24. Let v be (8/24)/((-1)/(-3)). Let t(k) = k - 1. Let r(j) = v*b(j) + z*t(j). What is a in r(a) = 0?
0, 1
Let -146*n - 12*n**2 - 207*n + 9*n - 72 - 77 - 75 = 0. Calculate n.
-28, -2/3
Factor 524*j**2 - 262*j**2 + 177*j + 234 - 277*j**2.
-3*(j - 13)*(5*j + 6)
Let c(f) be the first derivative of f**6/24 + f**5/20 - f**4/8 + 533. Find r, given that c(r) = 0.
-2, 0, 1
Let d(q) = 5*q**2 - 3*q + 2. Let b(u) = 30*u**2 + 3445*u + 10. Let m(s) = b(s) - 5*d(s). Factor m(x).
5*x*(x + 692)
Suppose -16*j - 21 + 53 = 0. Let f(i) be the first derivative of -14 + 25/3*i**3 + 0*i - 5/4*i**4 - 15/2*i**j - i**5. Factor f(d).
-5*d*(d - 1)**2*(d + 3)
Factor -2/5*h**5 - 8/5*h - 26/5*h**3 + 12/5*h**4 + 0 + 24/5*h**2.
-2*h*(h - 2)**2*(h - 1)**2/5
Let y(m) be the second derivative of m**4/32 - 811*m**3/4 + 1973163*m**2/4 + 1382*m. Factor y(b).
3*(b - 1622)**2/8
Factor -216/17 + 2/17*m**2 - 104/17*m.
2*(m - 54)*(m + 2)/17
Let v = -1935 + 1949. Let z(q) be the second derivative of -1/2*q**3 + 1/20*q**4 + 6/5*q**2 + 0 - v*q. Factor z(s).
3*(s - 4)*(s - 1)/5
Let w = 31494/39205 - 26/7841. Factor -28/5*n - 36/5*n**2 - 4*n**3 - w*n**4 - 8/5.
-4*(n + 1)**3*(n + 2)/5
Let b be (-175)/1421*652/(-24). Let h = b + -5/406. Find p such that 0*p + h*p**4 - 38/