- 4*f**5 = 0.
-1, 1, 124
Suppose 4*s - 3*s - 60 = 0. Suppose -37*g + 17*g + s = 0. Factor -3/5*x**5 - 3*x**4 - 9/5*x**2 + 0*x - 21/5*x**g + 0.
-3*x**2*(x + 1)**2*(x + 3)/5
Let d(y) be the third derivative of -y**7/168 + y**6/40 + y**5/240 - y**4/8 + y**3/6 + 3*y**2 + 356. Suppose d(f) = 0. Calculate f.
-1, 2/5, 1, 2
Let a be ((-6)/4)/(378*4/(-4256)). What is g in 40/9 + a*g - 2/9*g**2 = 0?
-1, 20
Let j = -20129/72 - -2249/8. Factor 50/3*p + 44/9 - j*p**2.
-2*(p - 11)*(7*p + 2)/9
Let a(w) be the first derivative of -w**4/14 + 200*w**3/21 - 388*w**2/7 + 768*w/7 - 936. Let a(v) = 0. Calculate v.
2, 96
Let q = -982 + 984. Suppose -6*b - 2 - 20 + 9*b - 6 + b**q = 0. What is b?
-7, 4
Let v(j) = -4*j**2 - 1029*j + 1674. Let z(p) = p**2 + 255*p - 418. Let y(b) = 6*v(b) + 25*z(b). Factor y(i).
(i - 2)*(i + 203)
Suppose -7*h + 663 - 649 = 0. Suppose h*q - 4 = 0, 0 = -2*d + q - 3*q + 4. Factor -4/5*l**2 + d + 4/5*l.
-4*l*(l - 1)/5
Suppose -s - 10 = -11*s. Let u = s - -4. Factor 2/3*d**3 + 8/3*d**2 - 2/3*d**4 - 1/3*d**u + 2/3 + 7/3*d.
-(d - 2)*(d + 1)**4/3
Determine y so that -1413/4*y - 1053/2 - 3/2*y**2 = 0.
-234, -3/2
Let a(v) be the second derivative of -v**10/10080 + v**8/2240 + 11*v**4/2 + v**2/2 - 125*v + 2. Let r(h) be the third derivative of a(h). Factor r(w).
-3*w**3*(w - 1)*(w + 1)
Let m = -427 + 413. Let z be (-15)/4*m/35. Suppose z*r - 1/2 + 1/2*r**3 - 3/2*r**2 = 0. Calculate r.
1
Let l(b) = 11 + 0*b - 6 - 4*b - 6*b**2. Let k(x) = -5*x**2 - 4*x + 4. Let i(s) = s + 5. Let m be i(-10). Let a(j) = m*k(j) + 4*l(j). Let a(n) = 0. What is n?
-4, 0
Let r(t) be the third derivative of -10/33*t**3 - 87*t**2 + 0 + 0*t - 13/44*t**4 + 2/165*t**5. Factor r(f).
2*(f - 10)*(4*f + 1)/11
Let i(m) be the second derivative of m**5/15 + 32*m**4/9 + 58*m**3/3 + 2130*m. Factor i(k).
4*k*(k + 3)*(k + 29)/3
Let t = -18 + 20. Factor 182*z + 5819*z**2 + 23*z - 6009*z**t - 15.
-5*(z - 1)*(38*z - 3)
Solve -114*j**2 + 221*j**2 - 3064*j - 586756 - 111*j**2 = 0.
-383
Suppose -4*p + 2*p + 2 = -3*n + n, -5*p + 25 = 0. Factor 0 + 2/3*i**n + 0*i + 1/3*i**2 + i**3.
i**2*(i + 1)*(2*i + 1)/3
Let d(k) be the third derivative of k**7/840 - 7*k**6/240 + k**4/2 + 54*k**2. Let n(l) be the second derivative of d(l). Factor n(j).
3*j*(j - 7)
Let m(l) be the third derivative of l**7/105 - 19*l**5/30 + 5*l**4/2 + 369*l**2. Determine n, given that m(n) = 0.
-5, 0, 2, 3
Let i be -7 + 6 - 15/(-3)*1. What is g in -g**2 + 47 + 42 - i*g + 42 - 134 = 0?
-3, -1
Let f(z) = -z**3 - 4*z + 3. Let o be f(0). Suppose 3*y = -m - 0*m + 11, 4*y - m = o. Solve y*g**3 + 0*g - g - 3*g + 0*g**3 - 2*g**2 = 0.
-1, 0, 2
Let n(g) be the second derivative of 7*g**4/8 - 26*g**3 + 180*g**2 + 860*g - 3. Let n(d) = 0. Calculate d.
20/7, 12
Factor -1820*t**2 - 16/3 - 192*t - 15548/3*t**3.
-4*(13*t + 2)**2*(23*t + 1)/3
Let l be (-7 - 98/(-12))/(196/280). Let z(y) be the first derivative of l*y**2 + 0*y - 23/9*y**3 - 5/12*y**4 - 1. Solve z(g) = 0.
-5, 0, 2/5
Let h = -2716 + 2719. Let r(v) be the first derivative of 5*v**2 + 1/3*v**h + 25*v - 6. Factor r(z).
(z + 5)**2
Let o(i) be the first derivative of -i**5/160 + 9*i**4/64 + 11*i**3/8 + 7*i**2 - 2*i - 45. Let t(q) be the second derivative of o(q). Factor t(h).
-3*(h - 11)*(h + 2)/8
Suppose -m = -10*m + 18. Suppose -4*g + 3*y = 7*y - 168, 4*y = m*g - 114. Factor -4*u + g*u**3 - 43*u**3 + 0*u.
4*u*(u - 1)*(u + 1)
Let y(l) = l**3 - 54*l - 78. Let h be 2*-6*50/(-75). Let c be y(h). Factor -7/2*g**c - 5/6*g**3 - 4/3 + 1/6*g**4 - 23/6*g.
(g - 8)*(g + 1)**3/6
Solve -1459*w**4 + 727*w**4 + 372*w**2 - 4*w**5 - 748*w**3 + 1112*w**4 = 0 for w.
0, 1, 93
Find g, given that 788/7*g - 112 - 4/7*g**2 = 0.
1, 196
Let k = -1400571 - -1400576. Suppose -36/7*z + k + 1/7*z**2 = 0. Calculate z.
1, 35
Let w(t) be the third derivative of t**5/45 - 11*t**4/3 - 1644*t**2. Factor w(y).
4*y*(y - 66)/3
Let c(m) be the third derivative of m**7/70 + m**6/20 - 7*m**5/20 - 5*m**4/2 - 6*m**3 - m**2 + 280*m. Determine q so that c(q) = 0.
-2, -1, 3
Let s be (-34 - 18164/(-532)) + (8/120)/(14/1986). What is p in 3/5*p**5 + 3*p**4 - 96/5*p - s + 12/5*p**3 - 48/5*p**2 = 0?
-2, -1, 2
Let m(s) = 8*s**2 + 7*s - 8. Let y be m(1). Find k, given that -21 + 5*k - 8*k**2 + 21 + y*k**2 = 0.
0, 5
Suppose 9*i + 10 = -305. Let z be (-230)/i + 18/(-3). Factor -12/7*q + 0 - z*q**2.
-4*q*(q + 3)/7
Let q = 3091313/4121740 + -2/1030435. Determine h so that -3/8*h**2 - q*h + 3 = 0.
-4, 2
Suppose -3*f - 24*f = -f. Suppose f = 9*b + 734 - 752. Factor -10/7*p**3 + 2/7*p**b + 2/7*p**4 + 6*p - 36/7.
2*(p - 3)**2*(p - 1)*(p + 2)/7
Let j(w) be the second derivative of w**5/20 + 89*w**4/12 + 645*w**3/2 - 2025*w**2/2 + 2*w - 1273. Factor j(l).
(l - 1)*(l + 45)**2
Let j = 17 + -78. Let m = j - -64. Factor 3*w - 5*w**3 + 7*w**2 - 4*w - w**2 - 4*w**m.
-w*(3*w - 1)**2
Let a(d) be the third derivative of 2*d**2 + 27 + 11/40*d**4 + 1/100*d**5 + 0*d + 0*d**3. Find l such that a(l) = 0.
-11, 0
Let a(p) be the third derivative of 1/240*p**6 + 0*p - 2/3*p**3 - 1/8*p**4 + 15 + 4*p**2 + 1/40*p**5. Factor a(c).
(c - 2)*(c + 1)*(c + 4)/2
Let s(q) be the third derivative of 4*q**7/15 + 41*q**6/30 - 17*q**5/15 - 41*q**4/6 + 2*q**3 - 105*q**2 - 6*q. Solve s(d) = 0.
-3, -1, 1/14, 1
Let s = -7679660/7 - -1097102. Solve 36/7 + 438/7*i**4 + 102/7*i - s*i**3 - 216/7*i**5 - 306/7*i**2 = 0 for i.
-3/4, -2/9, 1
Let h(c) be the third derivative of -71/15*c**4 - 5*c**2 + 25 + 3/100*c**6 + 34/25*c**5 + 32/5*c**3 + 0*c. Solve h(n) = 0.
-24, 2/3
Let u = 12871/145 - 2551/29. Suppose -6 = -2*i - 4*y + 14, 0 = -i - y + 6. Factor o + 1/5*o**i + u.
(o + 1)*(o + 4)/5
Let u(w) be the first derivative of 3*w**4/4 + 908*w**3 + 309174*w**2 - 36. Determine r, given that u(r) = 0.
-454, 0
Determine f, given that -90*f - 114*f + 179*f + f**2 + 136 = 0.
8, 17
Suppose 3*z + 57 = 237. Factor 2*o**5 - z*o**2 + 4*o**4 + 26*o + 99*o**2 - 12 - 12*o**3 - 47*o**2.
2*(o - 1)**3*(o + 2)*(o + 3)
Let u = 12286 - 98287/8. Let p(j) be the second derivative of -u*j**4 - 1/6*j**3 + 0 - 1/20*j**5 - 14*j - 1/120*j**6 - 1/8*j**2. Factor p(h).
-(h + 1)**4/4
Let i = 7333093/3208219 + -3/458317. Factor 162/7 - 45/7*h - i*h**2 - 1/7*h**3.
-(h - 2)*(h + 9)**2/7
Suppose 11285*w - 11275*w = 0. Factor -4/11*o**3 + w*o + 2/11*o**4 - 6/11*o**2 + 0.
2*o**2*(o - 3)*(o + 1)/11
Let m(c) be the second derivative of -c**6/135 - 11*c**5/90 - c**4/3 + 550*c + 1. Let m(p) = 0. What is p?
-9, -2, 0
Let c(d) be the first derivative of -15/2*d**2 + 0*d - 5/4*d**4 + 20/3*d**3 - 13. Suppose c(k) = 0. What is k?
0, 1, 3
Let u(d) be the first derivative of d**7/5880 - d**6/630 + d**5/280 + 2*d**3/3 + 38*d + 2. Let s(w) be the third derivative of u(w). Factor s(p).
p*(p - 3)*(p - 1)/7
Let f(p) be the second derivative of 189*p + 44/3*p**3 + 0 + 1/3*p**4 + 242*p**2. What is q in f(q) = 0?
-11
Let s(b) = -b**2 + 6*b. Let f be s(3). Suppose 14*c - 11*c = f. Determine o, given that 8*o**2 - 4*o**c - o**4 + 83 - 99 + 4*o**3 = 0.
-2, 2
Suppose j = l + 6*j + 34, -3*j = 2*l + 33. Let b be -3 - (l*2 - -3). Find u such that b - 2 + 6*u**3 - 11*u**3 + 15*u = 0.
-1, 2
Let v(o) = -6*o**2 + 38*o - 10. Let k be v(6). Suppose 5*i - 10 = -k*y, 4*y = -71*i + 67*i + 8. Factor y*h**3 + 0*h**2 - 1/7*h**5 - 1/7*h**4 + 0*h + 0.
-h**4*(h + 1)/7
Factor 25/3*x + 15/2*x**2 + 0 + 2*x**3 + 1/6*x**4.
x*(x + 2)*(x + 5)**2/6
Let x(b) = 5*b**4 + 28*b**3 - 113*b**2 - 283*b. Let n(t) = -65*t**4 - 365*t**3 + 1470*t**2 + 3680*t. Let d(p) = 3*n(p) + 40*x(p). Factor d(r).
5*r*(r - 4)*(r + 2)*(r + 7)
Let -4*q**4 - q**4 + 329066*q**3 + 45*q**2 - 5*q**5 - 329021*q**3 = 0. What is q?
-3, -1, 0, 3
Let j = 10 + -6. Solve 128 - 20*b**3 + 128*b - 230*b**2 + 7*b**4 - 216*b**2 - 3*b**j + 422*b**2 = 0 for b.
-2, -1, 4
Let q(h) be the third derivative of h**9/1512 - h**8/280 + h**7/140 - h**6/180 - 59*h**3/6 + 13*h**2. Let a(f) be the first derivative of q(f). Factor a(w).
2*w**2*(w - 1)**3
Let t(g) = 8976*g - 8973. Let o be t(1). Factor -2/13*i**o + 42/13 + 38/13*i**2 + 82/13*i.
-2*(i - 21)*(i + 1)**2/13
Let b(a) = 6*a**2 + 47*a - 14. Suppose -7*c = -3 + 73. Let z(i) = 13*i**2 + 94*i - 29. Let n(u) = c*b(u) + 4*z(u). Factor n(t).
-2*(t + 12)*(4*t - 1)
Factor -20667/5 - 3/5*f**2 - 498/5*f.
-3*(f + 83)**2/5
Suppose -5*k + 19 = -a - 1, 25 = 3*a + 2*k. Suppose 1 = -d, a