)*(4*y - 3)/11
Let k = 802435 + -12036469/15. Factor -k*s - 32/15*s**2 - 2/15*s**3 + 0.
-2*s*(s + 2)*(s + 14)/15
Let h(q) = -5*q + 130. Let j be h(26). Suppose -22*k + 17*k + 3*y - 9 = 0, j = -y + 3. Factor 16/5*b - 196/5*b**4 - 128/5*b**2 + k + 308/5*b**3.
-4*b*(b - 1)*(7*b - 2)**2/5
Suppose 0 = 4*n, 2*p - 3*n - 11 + 5 = 0. Factor 21*h - 3*h**4 - 42*h**2 - 18976 + 21*h**3 + 18976 + p*h.
-3*h*(h - 4)*(h - 2)*(h - 1)
Let v = 312638/63 + -34736/7. Factor v*b - 1/9*b**3 + 0 - 1/9*b**2.
-b*(b - 1)*(b + 2)/9
Let a(f) = -f**2 - 17*f + 35. Let v be a(-16). Suppose 5*h = 5, 0 = 2*r + h - 22 - v. Factor j**3 + r*j + 0*j**3 - 35*j + j**2 + j**2.
j*(j + 1)**2
Let i(k) be the second derivative of k**7/252 + k**6/60 + k**5/40 + k**4/72 - 13*k + 15. Let i(d) = 0. What is d?
-1, 0
Let y(g) be the first derivative of -g**3/9 + 73*g**2/6 + 830*g/3 + 5383. Solve y(r) = 0.
-10, 83
Let k = 52 - 43. Let j be (-2 - (-20)/k) + 1360/360. Suppose -1/2 + 5/2*d**j - 2*d - 2*d**2 + d**3 + d**5 = 0. What is d?
-1, -1/2, 1
Let d(u) = 9*u**2 - 138*u + 1506. Let q(n) = 8*n**2 - 137*n + 1497. Let b(x) = 5*d(x) - 6*q(x). Solve b(f) = 0.
22
Let b(n) be the first derivative of -n**4/6 + 148*n**3/9 - 349*n**2/3 + 184*n - 572. Let b(v) = 0. What is v?
1, 4, 69
Let n(g) be the first derivative of g**6/105 - g**5/7 + 13*g**4/42 + 20*g**3/7 + 36*g**2/7 - 26*g - 43. Let f(o) be the first derivative of n(o). Factor f(l).
2*(l - 6)**2*(l + 1)**2/7
Let m(h) be the third derivative of -h**7/12600 + h**6/600 + 83*h**4/24 + 26*h**2 + 4. Let w(f) be the second derivative of m(f). Factor w(a).
-a*(a - 6)/5
Suppose 21 = 2*a - 3*o, -19 = 3*o - 4. Find k, given that -2220*k + 1730*k + 95*k**3 + 5*k**4 - 5145 + 420*k**2 - 5*k**a = 0.
-7, 3
Let w(m) be the first derivative of m**7/210 - m**6/12 + 3*m**5/5 - 7*m**4/3 + 16*m**3/3 - 24*m**2 + 61. Let f(i) be the second derivative of w(i). Factor f(n).
(n - 4)*(n - 2)**3
Let g(z) be the third derivative of 8/5*z**3 + 11/300*z**6 + 0*z - 12*z**2 + 19/75*z**5 + 1/525*z**7 + 11 + 13/15*z**4. Factor g(a).
2*(a + 1)*(a + 2)**2*(a + 6)/5
Let k(t) = 2*t + 1. Let c(g) = -g**2 - 24*g - 5. Let i be (2/(-5))/(46/(-115)). Let a(m) = i*c(m) + 5*k(m). Find f such that a(f) = 0.
-14, 0
Let g(m) be the second derivative of m**4/8 + 261*m**3/2 + 204363*m**2/4 + 12*m - 130. Factor g(b).
3*(b + 261)**2/2
Let h(d) = -d**3 - 11*d**2 - 10*d + 4. Let m be h(-10). Suppose 57*y - 52*y = 10. Factor -72 - m*w**3 + 69 - 9*w**y + w**3 - 9*w.
-3*(w + 1)**3
Factor 11/4*b**3 + 0 - 5*b**2 - 75*b + 1/4*b**4.
b*(b - 5)*(b + 6)*(b + 10)/4
Let p be (-10)/60 - 85/(-6). Let 26*w**2 - p*w**2 + 16*w**2 - 64 - 24*w = 0. Calculate w.
-8/7, 2
Let g(u) be the first derivative of u**4/18 + 2*u**3/9 - 50*u - 75. Let d(b) be the first derivative of g(b). Factor d(a).
2*a*(a + 2)/3
Let g(v) be the first derivative of -v**4/6 + 6*v**3 - 50*v**2/3 + 257. What is i in g(i) = 0?
0, 2, 25
Suppose 4*u - 10 = 5*a, 13*a = 12*a - 2*u + 12. Factor p**2 - 1370 + 8*p + 5*p**a - 5*p**2 + 1386.
(p + 4)**2
Factor y + 1/4*y**2 - 5/4.
(y - 1)*(y + 5)/4
Let z(w) be the second derivative of -w**7/147 + w**6/21 + 141*w**5/70 - 7*w**4/6 - 364*w**3/3 + 588*w**2 - 3988*w. Suppose z(s) = 0. Calculate s.
-7, 2, 3, 14
Let n be (-325)/4*(-54752)/266916. Factor -95/3*i + n + 15*i**2.
5*(i - 1)*(9*i - 10)/3
Let w(y) be the second derivative of y**5/30 - 29*y**4/6 - 59*y**3/3 + 185*y**2/2 - 216*y. Let g(k) be the first derivative of w(k). Solve g(u) = 0.
-1, 59
Let c = 195 - 1432/7. Let l = c - -363/35. Find u such that 0*u**3 - 2/5*u**5 - 4/5*u**4 + 2/5*u + 0 + l*u**2 = 0.
-1, 0, 1
Let v(x) = -10*x**3 - 186*x**2 - 1592*x - 3042. Let q(o) = 8*o**3 + 186*o**2 + 1591*o + 3040. Let z(s) = 6*q(s) + 5*v(s). Let z(i) = 0. What is i?
-5, -3, 101
Let w(r) be the third derivative of r**8/30240 + r**7/1134 + r**6/270 - 9*r**5/5 + 9*r**2. Let n(c) be the third derivative of w(c). Factor n(m).
2*(m + 6)*(3*m + 2)/9
Suppose 1190*m - 178*m**3 + 5*m**4 + 300 - 52*m**3 - 1005 - 260*m**2 = 0. What is m?
-3, 1, 47
Let 171310*m**3 - 8090*m**2 - 85653*m**3 - 85652*m**3 = 0. Calculate m.
0, 1618
Let o be (-2)/(-8) + 239/(-956). Let j(k) be the first derivative of 0*k - 4*k**4 + 1 + o*k**2 - 16/9*k**3 - 4/3*k**5. Factor j(l).
-4*l**2*(l + 2)*(5*l + 2)/3
Suppose -5*w + 7*w = -28. Let s be (-1 - (-4)/12) + w/(-3). Let -6*v**2 + 2*v**2 + 0*v**4 - 8*v**3 + v**4 - 6*v**s - v**5 = 0. Calculate v.
-2, -1, 0
Suppose 5*a + 191 = 2*g - 305, -a = -g + 248. Let n = g + -15. Factor -229 - s + 3*s**2 + s**3 + n - 7*s**2.
(s - 4)*(s - 1)*(s + 1)
Let i be 211310/22440 - (-14)/24. Suppose i*h - 125 - 1/5*h**2 = 0. Calculate h.
25
Factor -178/9*r + 52/9 - 14/9*r**2.
-2*(r + 13)*(7*r - 2)/9
Let a(q) be the second derivative of -q**6/6 + 27*q**5/2 + 805*q**4/4 + 2000*q**3/3 + 930*q**2 - 5311*q. Solve a(d) = 0.
-6, -1, 62
Let i be (-738)/7190*(-164)/12. Let r = -2/719 + i. Factor -r*a + 8/5*a**2 - 3/5*a**3 + 2/5.
-(a - 1)**2*(3*a - 2)/5
Suppose 5*i + 25 = 5*x - 15, i - 19 = -2*x. Solve i - 1/6*z**5 + z**3 - 1/3*z**4 + 2/3*z**2 - 13/6*z = 0 for z.
-3, -2, 1
Factor -25*g + 2 + 8 - g**4 + 10*g**2 + 30*g**3 - 25 + 6*g**4 - 5*g**5.
-5*(g - 3)*(g - 1)*(g + 1)**3
Let o(a) = -a. Let q(m) = m**3 - m**2 - 3*m - 5. Let w be q(3). Let l(u) = u**2 - 7*u + 7. Let j(i) = w*o(i) + 4*l(i). Factor j(h).
4*(h - 7)*(h - 1)
Find d such that -1379*d + 306572 - 4*d**2 - 1285065 - 4685*d - 1319763 = 0.
-758
Let s be 15274/7*(7/4 - 2). Let l = 546 + s. Factor 0 + 1/2*b**2 - l*b.
b*(b - 1)/2
Suppose -37 = 8*o - 69. Suppose o*p - 5*a + 7 = 0, -5*p - 47*a + 42*a + 25 = 0. Suppose -25/6*r - 15/2*r**4 + 15/2*r**3 + 35/6*r**p - 5/3 = 0. What is r?
-2/3, -1/3, 1
Suppose 40 + 33 = 155*k - 237. Let y be (2/3)/(2/156). Find o such that -2*o - y*o**k + 4*o**5 - 28*o**4 + 20*o**3 + 40*o**3 + 0*o + 18*o = 0.
0, 1, 4
Suppose 44*f + 19091 = -4581. Let t = -9144/17 - f. Suppose -4/17 - 8/17*k**3 + t*k**5 + 4/17*k**2 + 6/17*k + 0*k**4 = 0. What is k?
-2, -1, 1
Suppose 30*p - 550 = -20*p. Let j be (4/6)/(3/18). Find h such that 12*h**2 - p*h + 16*h**3 - h + 6*h**j - 22*h**2 = 0.
-3, -2/3, 0, 1
Suppose -8*x + 18*x - 90 = 0. Suppose x*m - 33 = 12. Let 2/11*g**3 - 2/11*g**m + 0*g**4 + 0 + 0*g + 0*g**2 = 0. Calculate g.
-1, 0, 1
Let g be (-6)/(-9)*90/20. Find j, given that -3*j**3 + 760*j**2 - 760*j**2 + g*j = 0.
-1, 0, 1
Determine i, given that -314 - 47*i**2 + 18 + 20*i**2 - 156*i + 23*i**2 = 0.
-37, -2
Let r = -72856 - -218576/3. Suppose 8/3*f**3 + 26/3*f**2 - r - 26/3*f = 0. Calculate f.
-4, -1/4, 1
Let y be (-1*(-7)/(-70))/((168/12)/(-112)). Suppose -9/10*o**2 + 0 - 1/10*o**3 - y*o = 0. Calculate o.
-8, -1, 0
Let a(b) be the second derivative of -9*b**5/14 - 13*b**4/3 - 8*b**3/21 - 6*b - 359. Factor a(i).
-2*i*(i + 4)*(45*i + 2)/7
Let y(t) be the second derivative of 1/4*t**4 + 0*t**2 + 53/2*t**3 + 0 - 233*t. Factor y(c).
3*c*(c + 53)
Let -f**2 - 2 + 4 - 6 - 36*f - 2 + 31*f = 0. What is f?
-3, -2
Factor -256*v**4 + 112*v**2 - 660*v**3 - 346*v**5 + 170*v**5 - 1280*v + 156*v**4 - 1712*v**2 + 171*v**5.
-5*v*(v + 2)**2*(v + 8)**2
Let f(i) be the third derivative of 8*i**6/25 - 324*i**5/25 - 483*i**4/8 - 539*i**3/5 + 7*i**2 + 21*i + 2. Factor f(b).
3*(b - 22)*(8*b + 7)**2/5
Let w be 20 - 53/((-5565)/(-2010)). Factor -w*m**3 + 2/7*m**5 + 0 - 10/7*m**2 + 2/7*m**4 - 4/7*m.
2*m*(m - 2)*(m + 1)**3/7
Suppose 47*o - 28 = 66. Suppose 8*z**3 + 14*z**3 - 2*z**5 - 11*z**3 + z**5 - 12*z**2 - 36*z + o*z**4 = 0. Calculate z.
-2, 0, 3
Let b(h) be the third derivative of h**5/90 - 7*h**4/9 - 55*h**3/3 + h**2 + 9*h + 70. Suppose b(z) = 0. What is z?
-5, 33
Let h(b) be the third derivative of -b**5/40 + 401*b**4/16 - 2310*b**2. Factor h(m).
-3*m*(m - 401)/2
Let g = -2757 - -2747. Let t be 108/33 - (-9)/45*g. Suppose -2/11*f**4 + 26/11*f - 30/11*f**2 - 8/11 + t*f**3 = 0. What is f?
1, 4
Factor 3/2 - 7*v**2 + 41/2*v.
-(v - 3)*(14*v + 1)/2
Suppose -3*n + 3 = -3*v - 3, -v = 3*n - 18. Let r(c) be the first derivative of 4 + 8 - 26*c**v + 25*c**3. Factor r(g).
-3*g**2
Let h be (-25608)/(-32) - (-9)/12. Let f = h + -792. Factor -48/5*o**3 + 27/5 - 24/5*o**2 + f*o.
-3*(o - 1)*(4*o + 3)**2/5
Let t(c) = 128*c**4 + 524*c**3 + 455*c**2 - 36*c + 7. Let g(b) = -43*b**4 - 175*b**3 - 154*b**2 + 12*b - 2. Let y(l) = -7*g(l) - 2*t(l). Factor y(k).