2*z*(z - 1)/5
Let m(n) be the first derivative of n**7/350 + 23*n**6/600 + 2*n**5/15 - 2*n**4/15 + 113*n**2/2 + 102. Let a(i) be the second derivative of m(i). Factor a(u).
u*(u + 4)**2*(3*u - 1)/5
Let c be (-3)/(7 + 5 + -11). Let r(x) = -3*x - 9. Let o be r(c). Factor -1/2*v**3 - 1/2*v**4 + 0 + o*v + 3*v**2.
-v**2*(v - 2)*(v + 3)/2
Let j(m) = -4*m**2 + m + 9*m**2 + m**2 + m**2 - 3 - 6*m**2. Let i(k) = 4*k**2 + 160*k - 72. Let c(g) = -i(g) - 4*j(g). Solve c(b) = 0.
-21, 1/2
Let q(b) = 15*b**2 + 24*b + 3. Let m(a) be the second derivative of -a**5/20 - 4*a**4/3 - 4*a**3 - a**2 - 49*a. Let z(i) = 3*m(i) + 2*q(i). Factor z(f).
-3*f*(f + 2)*(f + 4)
Let s(u) = -387*u + 61535. Let c be s(159). Factor -36/5*w**c + 0 + 3/5*w**4 + 0*w - 3/5*w**3.
3*w**2*(w - 4)*(w + 3)/5
Let k(j) be the first derivative of j**4/2 + 82*j**3/3 + 440*j**2 + 800*j - 826. Suppose k(g) = 0. What is g?
-20, -1
Let o be ((-2)/(-8))/(2/(-9)*(-9)/18). Let i(l) be the second derivative of 0 + l**3 + o*l**4 + 13*l + 0*l**2 + 3/2*l**5. Factor i(y).
3*y*(2*y + 1)*(5*y + 2)
Suppose 2*p = -4*g + 66, -2*p + 0*p + 24 = g. Find x, given that 82*x**2 + g*x - 44*x - 87*x**2 - 40 = 0.
-4, -2
Let i be (-48276)/(-12960) + (-60)/(-32). Determine o, given that -2 + 46/5*o**2 - 8/5*o**3 - i*o = 0.
-1/4, 1, 5
Let f = -20116 - -20119. Let w(x) be the second derivative of 0*x**2 + 1/70*x**5 + 0*x**f + 0 - 1/42*x**4 - 4*x. Factor w(q).
2*q**2*(q - 1)/7
Let n = 154366/7 + -22052. Let v be (24/30)/((-7)/(-5)). Find j such that n*j**2 + 2/7 + v*j = 0.
-1
Suppose -4*d + 40 = -4*y, -3*d = -2*y + 115 - 141. Let p(t) be the first derivative of -2/3*t**3 - d + 4*t + t**2. Solve p(w) = 0.
-1, 2
Let m(t) be the third derivative of -t**6/30 - 29*t**5/15 + 65*t**4/6 + 62*t**3 + 120*t**2 + 2. Factor m(p).
-4*(p - 3)*(p + 1)*(p + 31)
Let j(o) be the third derivative of -o**9/20160 - o**8/960 - o**7/168 + 3*o**5/20 + o**3/3 + 9*o**2 - 4. Let x(b) be the third derivative of j(b). Factor x(u).
-3*u*(u + 2)*(u + 5)
Let s = 1860885/4 + -465201. Let -3/4*z**2 + 0 - s*z = 0. What is z?
-27, 0
Let q(j) be the first derivative of -2/3*j**3 - 39 + 13/7*j**2 - 12/7*j. Factor q(y).
-2*(y - 1)*(7*y - 6)/7
Let s(o) = o**3 + 23*o**2 - 41*o + 24. Suppose 8*v - 10*v - 14 = 0. Let r(f) = 8*f**2 - 14*f + 8. Let q(g) = v*r(g) + 2*s(g). Determine b so that q(b) = 0.
1, 2
Factor 4953 - 3*h**2 - 3009 - 5100 + 3159*h.
-3*(h - 1052)*(h - 1)
Let n be (15/35)/(99/550*(-16)/(-56)). Solve 0 + 0*o - n*o**4 + 10*o**3 + 0*o**2 + 5/3*o**5 = 0 for o.
0, 2, 3
Let t = 4911/86555 - -1/2473. Let r(m) be the second derivative of -1/21*m**6 + t*m**5 + 1/147*m**7 - 32/21*m**3 + 8/21*m**4 + 0 + 16/7*m**2 - 9*m. Factor r(a).
2*(a - 2)**3*(a - 1)*(a + 2)/7
Let o(z) be the second derivative of -2*z - 191 + 0*z**2 + 2/5*z**4 - 1/25*z**5 + 0*z**3. Suppose o(j) = 0. Calculate j.
0, 6
Let t(s) = 9*s**2 + 51*s + 6. Let i be t(-6). Suppose i*u + 57 - 153 = 0. Solve 0 - 4/3*q**2 + 5/3*q**3 + q**u - 4/3*q = 0 for q.
-2, -2/3, 0, 1
Factor -123/7*f**2 + 108/7*f + 3/7*f**4 + 0 + 12/7*f**3.
3*f*(f - 4)*(f - 1)*(f + 9)/7
Determine s so that 228/7 - 2/7*s**4 + 46/7*s**3 + 26/7*s - 22*s**2 = 0.
-1, 2, 3, 19
Let w = 7 + -5. Determine n, given that 262*n**w - 5*n**5 - 2*n**3 - 272*n**2 - 13*n**3 + 10*n**5 = 0.
-1, 0, 2
Let i(r) be the first derivative of 18/7*r**2 - 4/3*r**3 + 87 - 8/7*r. Factor i(f).
-4*(f - 1)*(7*f - 2)/7
Suppose f + 10*f = -10*f - 18*f. Let r(p) be the third derivative of 2/45*p**5 + 0*p + 1/9*p**3 + 2*p**2 - 5/36*p**4 + f. Factor r(z).
2*(z - 1)*(4*z - 1)/3
Let h(g) be the first derivative of g**5/6 + 145*g**4/24 + 965*g**3/18 - 475*g**2/4 - 375*g + 2442. Let h(a) = 0. Calculate a.
-15, -1, 2
Suppose -174*y**3 + 279 - 4*y**5 + 42*y**4 - 135 + 620*y**2 - 264*y**2 - 360*y = 0. Calculate y.
3/2, 2, 3
Let r(n) be the second derivative of -28*n + 295*n**4 - 16*n + 54*n**3 - 2 + 8*n**2 - 7*n**5 + 8*n**3 - 284*n**4 - 14*n**3. Factor r(z).
-4*(z - 2)*(z + 1)*(35*z + 2)
Let c(d) be the third derivative of d**8/2184 - 2*d**7/455 + d**6/60 - 2*d**5/65 + d**4/39 - 25*d**2 - 3. Factor c(p).
2*p*(p - 2)**2*(p - 1)**2/13
Let a(g) = 3*g**2 - 12*g - 12. Let q = 6608 - 6614. Let r = 9 - 4. Let u(n) = 2*n**2 - 12*n - 12. Let i(l) = q*u(l) + r*a(l). Factor i(k).
3*(k + 2)**2
Let b = 37490 - 37487. Determine y so that -b - 1/4*y**4 - 3/2*y**3 + 3/4*y**2 + 4*y = 0.
-6, -2, 1
Let l(c) be the second derivative of -c**7/11340 - c**6/1620 + 29*c**4/2 + 171*c. Let g(f) be the third derivative of l(f). Determine b, given that g(b) = 0.
-2, 0
Let c(j) = 4*j**2 + 53*j - 12. Let y(a) = -3*a**2 - 35*a + 8. Suppose 8*w - 58 = 486. Let n = w - 76. Let t(h) = n*y(h) - 5*c(h). Factor t(f).
(f + 4)*(4*f - 1)
Let m be 26 - (3 + -11 + 2). Let z = m - 30. Factor 50/13 - 20/13*k + 2/13*k**z.
2*(k - 5)**2/13
Let j(y) = -y - 5. Let s(m) = 6*m + 26. Let z(n) = -11*j(n) - 2*s(n). Let g be z(-1). Solve 18*t**g + 0 + 18 + 14*t**3 - 7 - 14*t - 22*t**2 - 7 = 0.
-1, 2/9, 1
Factor 58*j**2 - 214 + 46*j - 1334 - 5*j**2 - 39*j**2.
2*(j - 9)*(7*j + 86)
Let v(l) be the first derivative of -1/4*l**4 + 1/2*l + 5/6*l**3 - l**2 + 132. Factor v(q).
-(q - 1)**2*(2*q - 1)/2
Let i be 54/3*(-109)/(-1962) - -2. Factor 1/3*v**4 - 4/3*v**2 - 2/3*v + 2/3*v**i + 1.
(v - 1)**2*(v + 1)*(v + 3)/3
Let m = -1/3071 + -9020/592703. Let n = m + 594/965. Find b such that -6/5*b**2 + 0 + n*b + 3/5*b**3 = 0.
0, 1
Let z(l) be the first derivative of -l**7/168 - l**6/15 - l**5/4 - l**4/3 - 56*l + 13. Let p(o) be the first derivative of z(o). Solve p(m) = 0.
-4, -2, 0
Let a(b) be the second derivative of 160/3*b**3 + 5/42*b**7 + 0*b**2 + 0 - 60*b**4 + 97/4*b**5 - 3*b**6 - 21*b. Factor a(c).
5*c*(c - 8)**2*(c - 1)**2
Let -241*t**4 + 123*t**4 + 4*t**5 - t**5 - 36*t**2 - 2*t**5 + 24*t**3 + 129*t**4 = 0. Calculate t.
-6, 0, 1
Let m(n) be the first derivative of 7/15*n**5 - 8/3*n - 5/2*n**4 + 1/9*n**3 + 5*n**2 + 12. Solve m(a) = 0 for a.
-1, 2/7, 1, 4
Let c(b) be the second derivative of 5*b**4/12 - 14510*b**3/3 + 21054010*b**2 + 1205*b. Factor c(s).
5*(s - 2902)**2
Let q(m) be the first derivative of -27/4*m**4 + 21/10*m**5 + 0*m - 6*m**2 - 1/4*m**6 + 10*m**3 + 67. Determine x, given that q(x) = 0.
0, 1, 2
Let a be (2/4*-1)/(11/(-22)). Suppose 11 = 3*j - a. Suppose 0*t + 0*t**3 - 1/8*t**5 + 0*t**2 + 0 - 1/4*t**j = 0. Calculate t.
-2, 0
Let s(w) be the third derivative of w**6/240 - 1717*w**5/20 + 2948089*w**4/4 - 10123737626*w**3/3 + 9529*w**2. What is t in s(t) = 0?
3434
Let t(x) = 56*x**2. Let v(a) = 332*a**2 - 3020*a - 6024. Let j(i) = 6*t(i) - v(i). Let j(u) = 0. Calculate u.
-753, -2
Suppose 1366*j**2 - 249*j - 662*j**2 + 486 - 701*j**2 = 0. Calculate j.
2, 81
Let t be (-59 - (-46255)/783) + 79/27. Solve -43/2*l - 11/6*l**4 - 179/6*l**2 - 79/6*l**t - 3 = 0.
-3, -1, -2/11
Let u be -3 - (-3 - (-3)/(-12)). Let v = -1428063/4 + 357016. Factor 1/4*r**2 + 1/4*r - u - v*r**3.
-(r - 1)**2*(r + 1)/4
Let r(y) = y**2 + 1397*y - 1388. Let c(p) = -8*p**2 - 8383*p + 8326. Let k(j) = -2*c(j) - 13*r(j). Determine s so that k(s) = 0.
1, 464
Let d(m) be the second derivative of -19/90*m**6 + 0*m**4 + 0*m**3 + 1/3*m**5 + 0*m**2 - 1/126*m**7 + 5*m - 11. Factor d(p).
-p**3*(p - 1)*(p + 20)/3
Factor -4*x**3 + 13*x**3 - 7*x**3 + 2*x**3 + 824 + 1318*x + 424*x**2 - 74*x.
4*(x + 1)*(x + 2)*(x + 103)
Let n(s) be the first derivative of -5/12*s**4 - 10*s + 14 + 10*s**2 - 5/2*s**3. Let i(j) be the first derivative of n(j). Let i(o) = 0. Calculate o.
-4, 1
Suppose -m = 4*d - 3*m - 130, 3*m - 120 = -3*d. Let u = 40 - d. Factor -u*y**2 - 7*y - 163*y**4 + 5*y**3 + 2*y + 168*y**4.
5*y*(y - 1)*(y + 1)**2
Let y(m) be the first derivative of -6*m**2 - 12*m**2 + 0*m**3 + 4*m**3 - 21 + 4*m**2 + 16*m. Let k(s) = s**2 - 1. Let x(p) = 4*k(p) + y(p). Factor x(u).
4*(u - 1)*(4*u - 3)
Let b(l) be the third derivative of 0*l**3 - 1/315*l**7 - 10*l - 7/90*l**5 + 0 - 1/36*l**6 + 4*l**2 - 1/12*l**4. Solve b(u) = 0.
-3, -1, 0
Let b(j) = 3*j + 2. Let s be b(8). Suppose -10 = 2*l, p + l + l = s. Factor 2 + 12*y**4 - 5*y + 3*y**3 + 4 + 0 + 20*y - p*y**2.
3*(y - 1)**2*(y + 2)*(4*y + 1)
Let h(g) be the first derivative of -g**6/40 - g**5/20 + 2*g**4 + 8*g**3 - 3*g**2 + 2*g + 77. Let n(a) be the second derivative of h(a). Factor n(c).
-3*(c - 4)*(c + 1)*(c + 4)
Suppose 3*o + 18 = -5*l