 6/5*c**3 - 4/5*c**2.
c*(c - 1)**4/5
Suppose -4*q + 4*x + 1384 = 0, 4*q = -x + 580 + 834. Let t(l) = 4*l**2 - 1. Let p be t(-1). Factor -362*i**2 - 5*i**p + 0 + q*i**2 + 0 - 5*i.
-5*i*(i + 1)**2
Let -35344/5*a + 0 - 376/5*a**2 - 1/5*a**3 = 0. What is a?
-188, 0
Let v be ((-663)/34)/((-26)/30). Factor -3/2*t**3 - 54 + v*t + 3*t**2.
-3*(t - 3)**2*(t + 4)/2
Suppose -64700*l - 36517 - 47356*l - 39553*l**2 + 7821 - 3543*l**3 + 129*l**4 - 5925 - l**5 - 41555 = 0. Calculate l.
-4, -1, 69
Suppose 5*d + b = 4*d, 0 = -5*d - 2*b + 9. Solve -22*k**3 + 6*k**2 + 2*k**2 + 8*k**d - 3*k**5 - 9*k**4 + 11*k**3 + 6*k + k**2 = 0 for k.
-2, -1, 0, 1
What is k in -4496/7 - 2/7*k**3 + 2250/7*k**2 - 2244/7*k = 0?
-1, 2, 1124
Let w be (-630)/(-75)*70/42. Factor -4 - 12*i - 9/4*i**4 - w*i**2 - 1/4*i**5 - 8*i**3.
-(i + 1)*(i + 2)**4/4
Let x be -12*(2 + (-440)/(-72)). Let t = x - -98. Solve 2/3*p**3 + 0 + t*p**5 + 0*p - 4/3*p**4 + 0*p**2 = 0 for p.
0, 1
Let w(t) be the first derivative of -t**5/10 + 9*t**4/4 + 67*t**3/6 - 21*t**2 + 2178. Factor w(m).
-m*(m - 21)*(m - 1)*(m + 4)/2
Let y(t) be the second derivative of t**6/120 + 5*t**5/2 + 625*t**4/2 + 6*t**3 - 96*t. Let a(s) be the second derivative of y(s). What is c in a(c) = 0?
-50
Let p = -1/493934 - -7902963/9384746. Factor -p*u + 2/19*u**2 - 66/19.
2*(u - 11)*(u + 3)/19
Let f(c) be the second derivative of 0 + 13/18*c**3 + 1/72*c**4 + 60*c + 25/12*c**2. Let f(k) = 0. Calculate k.
-25, -1
Let a(t) be the first derivative of -5*t**6/6 - 30*t**5 - 195*t**4 + 5270*t**3/3 - 4335*t**2/2 + 5324. Solve a(u) = 0 for u.
-17, 0, 1, 3
Factor -7*x**3 - 289*x**2 + 3*x**3 - 23*x**2 - 2*x**3 - 22*x**2 + 454*x - 114.
-2*(x - 1)*(x + 57)*(3*x - 1)
Let i(j) be the third derivative of -j**8/56 - 4*j**7/15 - 23*j**6/20 - 2*j**5/3 - 5684*j**2. Solve i(n) = 0.
-5, -4, -1/3, 0
Find b such that 2/5*b**3 + 368/15*b**2 - 84/5 - 634/15*b = 0.
-63, -1/3, 2
Let t(m) be the second derivative of -m**7/28 + 63*m**6/10 + 153*m**5/8 + 16*m**4 + 412*m. Factor t(r).
-3*r**2*(r - 128)*(r + 1)**2/2
Let t(y) = -9*y**3 - 3356*y**2 + 8*y. Let c(o) = -78*o**3 - 29085*o**2 + 69*o. Let a(z) = 8*c(z) - 69*t(z). Factor a(v).
-3*v**2*(v + 372)
Let b be (2 - (-16)/(-2)) + (-40 - (-2010)/35). Suppose -24/7*k + b*k**2 + 10/7*k**4 - 54/7*k**3 + 0 = 0. Calculate k.
0, 2/5, 2, 3
Let y = 275 - 259. Let r be (27 - y) + 475/(-45). Suppose -r*p - 2/3*p**3 - 14/9*p**2 + 0 = 0. Calculate p.
-2, -1/3, 0
Let h be 0 + 3 + 1144/(-264) - 30/(-9). Solve 9 + 42/5*k - 3/5*k**h = 0 for k.
-1, 15
Factor -52/3*m**3 - 74*m**2 + 2/9*m**4 + 820/9*m + 0.
2*m*(m - 82)*(m - 1)*(m + 5)/9
Let u = 18 - 20. Let o be (-2)/u + -2 - -3. Factor 3*t**2 - o + 10 - 5*t**2 + 6*t.
-2*(t - 4)*(t + 1)
Let j be (4275/(-4180))/(66/(-121)). What is y in 3/4 + 47/8*y + j*y**2 = 0?
-3, -2/15
Let x(k) be the third derivative of -11/135*k**5 + 0*k**3 + 23/108*k**4 + 2*k**2 + 100*k + 0 - 1/540*k**6. Factor x(o).
-2*o*(o - 1)*(o + 23)/9
Determine q, given that 105*q + 2403/4*q**2 + 2871/4*q**3 - 21*q**4 + 0 = 0.
-4/7, -1/4, 0, 35
Let m(n) be the first derivative of 90*n - n**5 - 5/3*n**3 + 206 + 105/2*n**2 - 25/4*n**4. Determine w so that m(w) = 0.
-3, -1, 2
Let l(a) = 8*a**2 - 189*a + 603. Let h(q) = 12*q**2 - 284*q + 904. Let y(d) = -5*h(d) + 8*l(d). Find w such that y(w) = 0.
4, 19
Let y be (-445)/(-35) + -6 - 1. Let d = y - 17/14. Find p, given that d + 15*p + 9*p**3 + 18*p**2 + 3/2*p**4 = 0.
-3, -1
Let i(y) be the third derivative of 19*y**6/40 + 2*y**5 - 53*y**4/8 - 3*y**3 + 4548*y**2. Factor i(a).
3*(a - 1)*(a + 3)*(19*a + 2)
Suppose 163*n = 157*n + 288. Suppose -25*u + n*u = 69. Factor 0 + 1/6*i**u + 1/2*i - 2/3*i**2.
i*(i - 3)*(i - 1)/6
Suppose 2*l = 2*m + 8, 4*m + 16 = -9*l + 11*l. Let w(b) be the first derivative of l*b - 5/4*b**4 + 15 + 5*b**3 + 0*b**2. Factor w(u).
-5*u**2*(u - 3)
Let i(d) be the third derivative of -13*d + 0 + 2/39*d**3 - 5/52*d**4 - 6*d**2 + 7/390*d**5. Factor i(f).
2*(f - 2)*(7*f - 1)/13
Let w be (-20292)/1620 + 13 + (-6)/81. What is q in -4/5*q**2 + 0*q + 0 - w*q**4 - 6/5*q**3 = 0?
-2, -1, 0
Let i(d) = 6*d - 26. Let z = 29 - 12. Let b be i(z). Factor -19*n - 21*n - 16 + n**2 - 25*n**2 + 4*n**3 + b*n.
4*(n - 4)*(n - 1)**2
Suppose -9*z + z = -9*z. Factor -3*m**3 + 3*m**4 - 18*m**2 - 4*m**4 + 12*m + 4*m**4 + 24 + z*m.
3*(m - 2)**2*(m + 1)*(m + 2)
Let h(g) = -5*g**5 - 37*g**4 - 156*g**3 + 440*g**2 - 239*g + 3. Let v(s) = -s**5 + s**4 + s + 1. Let i(y) = h(y) - 3*v(y). Factor i(c).
-2*c*(c - 1)**2*(c + 11)**2
Let x(l) be the first derivative of -4*l**3/3 - 598*l**2 + 1200*l - 10099. Factor x(s).
-4*(s - 1)*(s + 300)
Let g(p) be the third derivative of -25/96*p**4 - 7*p**2 - 1/1440*p**6 - 1/48*p**5 + 0 - 3/2*p**3 + 0*p. Let f(a) be the first derivative of g(a). Factor f(v).
-(v + 5)**2/4
Let z(h) be the third derivative of -13*h**5/70 + 43*h**4/126 + 16*h**3/63 - 276*h**2 + h. Solve z(v) = 0.
-2/13, 8/9
Suppose 4*f - 48 = -4*f. Suppose -4*h - 2 = -6*h - v, -2*h - 3*v + f = 0. Factor -4/13*w + 2/13*w**4 + 4/13*w**3 + h*w**2 - 2/13.
2*(w - 1)*(w + 1)**3/13
Let x(z) be the first derivative of z**5/210 - 3*z**4/28 + 2*z**3/3 - 3*z**2 + 48. Let a(v) be the second derivative of x(v). Find u, given that a(u) = 0.
2, 7
Let u(l) be the second derivative of -l**5/120 - 29*l**4/72 - 275*l**3/36 - 847*l**2/12 - 1258*l. Factor u(i).
-(i + 7)*(i + 11)**2/6
Let u(k) = -20290*k + 142032. Let t be u(7). Find h such that -2/3*h**t + 0 + 4/3*h = 0.
0, 2
Let r(k) be the second derivative of -k**4/24 - 205*k**3/2 - 378225*k**2/4 - 6084*k. Solve r(s) = 0.
-615
Let f = 1/275 - -201/20350. Let l = 293/222 + f. Factor -4/3*o**3 - 1/3*o**4 + 4/3 + l*o - o**2.
-(o - 1)*(o + 1)*(o + 2)**2/3
Let h(g) = -57 - g**3 - 26*g**4 - 26*g**2 - 96 + 119 + 0*g**3. Let t(c) = -9*c**4 - 9*c**2 - 12. Let u(x) = 6*h(x) - 17*t(x). Let u(f) = 0. Calculate f.
-1, 0
Let l(v) be the third derivative of -v**5/300 - v**4/15 - 8*v**3/15 + 1252*v**2. Factor l(r).
-(r + 4)**2/5
Let f be (15/(-6))/5*22 - (-995)/85. Factor 0 - f*w - 2/17*w**3 + 14/17*w**2.
-2*w*(w - 6)*(w - 1)/17
Let b(z) be the first derivative of -44/9*z**3 + 1/6*z**4 - 400/3*z + 140/3*z**2 + 323. Factor b(j).
2*(j - 10)**2*(j - 2)/3
Let q = -6/182497 - -365012/547491. Factor 2/9*j**4 + 0*j**2 + 0 - 8/9*j + q*j**3.
2*j*(j - 1)*(j + 2)**2/9
Suppose 0 = -5*c + 15, 10*f - 3 = 9*f + c. Let q = -3 + f. Factor -6*p**q - 2/3*p**4 - 38/3*p - 4 - 14*p**2.
-2*(p + 1)**3*(p + 6)/3
Let y be (-3087)/45 + (7/(-5) - -1). Let x = -66 - y. Factor -x - 6*u**3 + 5*u**3 - 5*u**2 - 38*u + 31*u.
-(u + 1)**2*(u + 3)
Let d = 1291 - 300. Let p = d + -991. Factor p*l**3 + 0*l - 2*l**2 + 1/2*l**4 + 0.
l**2*(l - 2)*(l + 2)/2
Suppose -3*l - 153 = 11*d - 142, -5 = -5*l + 5*d. Factor 288/5*u**2 - 48/5*u**3 + 0*u + 2/5*u**4 + l.
2*u**2*(u - 12)**2/5
Let q(y) be the second derivative of 0 + 1/90*y**5 - 7/27*y**3 + 13*y - 1/27*y**4 - 4/9*y**2. Factor q(v).
2*(v - 4)*(v + 1)**2/9
Let l(n) = -n**2 - 257*n - 16399. Let u be l(-139). Factor -15/4*q - 3/4*q**2 - u.
-3*(q + 1)*(q + 4)/4
Let i(z) be the second derivative of -4*z**6/165 - z**5/220 + z**4/6 + 5*z**3/22 - 745*z. Factor i(f).
-f*(f + 1)**2*(8*f - 15)/11
Suppose 0 = -i - 2*s, -i + s - 6*s - 6 = 0. Factor -i*x**2 - 6*x + 1667*x**3 - x**2 - 1664*x**3 + 2*x**2.
3*x*(x - 2)*(x + 1)
Suppose -1/5*c**3 - 36/5 + 24/5*c - 1/5*c**2 = 0. Calculate c.
-6, 2, 3
Let s be -3 + (104/18 - (0 - (-16)/(-72))). Let w(v) be the second derivative of s*v + 1/5*v**2 + 0 + 1/60*v**4 + 1/10*v**3. Solve w(o) = 0.
-2, -1
Let t = 4/35 + 237/70. Let r be (3/(-5))/(504/112 - (-27)/(-5)). Factor -r - 49/6*z**3 - t*z**2 + 4*z.
-(z + 1)*(7*z - 2)**2/6
Let d(t) = 10*t**3 + t**2 - t - 2. Let j(a) = 12*a**3 + 21*a**2 + 53*a + 34. Let r(k) = -d(k) + j(k). Determine w so that r(w) = 0.
-6, -3, -1
Let b(r) be the second derivative of 1/24*r**6 - 5/8*r**4 + 9*r - 5/3*r**3 + 7*r**2 + 0*r**5 + 0. Let d(c) be the first derivative of b(c). Factor d(l).
5*(l - 2)*(l + 1)**2
Suppose 29*j = 27*j + 4. Suppose 42*f - 30 = 32*f. Determine u so that -f*u**j - 3/5*u + 0 = 0.
-1/5, 0
Let a(o) = -31*o - 150. Suppose 15*u + 17 = -58. Let m be a(u). Let -2/7*w**m + 8/7*w**3 - 4/7*w**2 + 0*w**4 + 4/7 - 6/7*w = 0. What is w?
-2, -1, 1
Factor 712/7 + 4/7*w**3 - 360/7*w**2 + 348/7*w.
4*(w - 89)*(w - 2)*(w + 