 Factor 28/3*i + 2/3*i**n - 34.
2*(i - 3)*(i + 17)/3
Factor 0 - 64/13*w + 2/13*w**3 - 62/13*w**2.
2*w*(w - 32)*(w + 1)/13
Let x = -370 - -372. Factor 8/5 + 14/5*r**x + 32/5*r.
2*(r + 2)*(7*r + 2)/5
Let w be 8 - (-224)/378*-9. Let t(a) be the second derivative of 32*a**2 + 0 + w*a**3 - a + 1/12*a**4. Factor t(x).
(x + 8)**2
Let j(x) be the second derivative of 2*x**4 + 0 + 3/20*x**5 + 9*x**2 - 94*x + 13/2*x**3. Factor j(y).
3*(y + 1)**2*(y + 6)
Let w(m) be the second derivative of 8*m**7/7 - 2636*m**6/5 + 1750179*m**5/20 - 22154359*m**4/4 + 52692235*m**3/2 - 97127175*m**2/2 + 1567*m. Factor w(v).
3*(v - 109)**3*(4*v - 5)**2
Factor 171*h + 564*h**3 + 1140*h**2 - 8337*h**4 + 8333*h**4 + 401*h.
-4*h*(h - 143)*(h + 1)**2
Suppose 204/7*f - 201/7 - 3/7*f**2 = 0. What is f?
1, 67
Let x(j) be the first derivative of -5*j**4/4 - 50*j**3 + 520*j**2 - 1440*j - 2793. What is c in x(c) = 0?
-36, 2, 4
Factor 2705/4*n - 1355/2 + 5/4*n**2.
5*(n - 1)*(n + 542)/4
Let t(f) be the third derivative of 0*f**4 + 16*f**2 + 0*f + 0*f**3 + 0 + 13/30*f**5 + 9/20*f**6 + 1/168*f**8 + 1/7*f**7. Factor t(b).
2*b**2*(b + 1)**2*(b + 13)
Let w = -264466 - -1582753/6. Let u = 674 + w. Suppose 0 + u*h**2 + 0*h = 0. Calculate h.
0
Let c be (4/(-6) + (-11)/(-66))/((-1)/6). What is h in -4*h**2 - 4/3*h**c + 0*h + 16/3 = 0?
-2, 1
Solve 25/3*f**3 + 1/3*f**4 - 1068*f + 1080 - 62/3*f**2 = 0.
-18, 1, 10
Let d(p) = 4*p**2 - 16*p + 16. Let l = -18 + -8. Let b = 30 + l. Let v(j) = -4*j**2 + 16*j - 16. Let s(i) = b*v(i) + 5*d(i). Factor s(y).
4*(y - 2)**2
Let r(f) = 152*f**3 + 40008*f**2 + 26693316*f + 5934819248. Let j(s) = 63*s**3 + 16003*s**2 + 10677326*s + 2373927699. Let p(c) = 12*j(c) - 5*r(c). Factor p(d).
-4*(d + 667)**3
Find o such that -352*o - 2*o**2 + 2890*o + 794*o - 3330 = 0.
1, 1665
Let f = 339 - 329. Let a(r) be the second derivative of -1/50*r**5 + 0*r**4 + 0 - 2/5*r**2 + 1/5*r**3 - f*r. Determine b so that a(b) = 0.
-2, 1
Let n be (-296)/(-204) + 185/17 + -11. Factor u - n + 1/3*u**2.
(u - 1)*(u + 4)/3
Let g(o) be the third derivative of o**5/240 - o**4/12 - 3*o**3/8 - 30*o**2 + 2*o - 2. Factor g(z).
(z - 9)*(z + 1)/4
Factor -119/2*u + 30*u**2 - 1/6*u**3 + 89/3.
-(u - 178)*(u - 1)**2/6
Suppose 4*z = 3*z - 77. Let v = z + 82. Factor -8*c**5 + 17*c**5 - 7*c**v.
2*c**5
Suppose -13 - 1 = -4*v + 2*n, 2*v + n - 1 = 0. Suppose 43*q**3 + 51*q**3 + q - 95*q**3 - 14*q**v + 14 = 0. Calculate q.
-14, -1, 1
Let r(j) be the third derivative of -j**5/48 + 71*j**4/96 + 5*j**3/2 + j**2 - 330*j + 2. Factor r(h).
-(h - 15)*(5*h + 4)/4
Factor -16000 - 733*d**2 - 880*d**2 + 2*d**3 + 2400*d + 1763*d**2.
2*(d - 5)*(d + 40)**2
Suppose -280*y + 279*y + 4 = 0. Let p be 471/(-314)*y/(-18). What is x in 0 + 4/3*x**2 + 4/3*x + p*x**3 = 0?
-2, 0
Let k(c) be the second derivative of -c**6/2 - c**5 + 5*c**4/3 - 984*c. Factor k(g).
-5*g**2*(g + 2)*(3*g - 2)
Factor -4259494738720*y + 5553448160*y**2 - 2/13*y**5 + 1180*y**4 - 3620240*y**3 + 1306812985839296.
-2*(y - 1534)**5/13
Let m(p) = -p**2 + p - 1. Let d(x) = 36*x**2 + 0*x + 36*x**2 - 2*x + 2 + 4*x + x. Let b(j) = -d(j) - 2*m(j). Suppose b(f) = 0. What is f?
-1/14, 0
Let b be (2 - 6) + -7 - (9 + -22). Find n such that 0 - 52/5*n + 4/5*n**b = 0.
0, 13
Let o = -25531/9 + 2837. Let l(y) be the second derivative of o*y**2 - 1/18*y**4 + 1/90*y**5 + 1/135*y**6 + 0 - 12*y - 1/27*y**3. Solve l(i) = 0 for i.
-2, -1, 1
Let a = 101 + -104. Let o be (a/6)/(30/(-192)). Factor -o - 8*c - 5*c**2.
-(5*c + 4)**2/5
Suppose -2*l - 16*b + 17*b = 9, -l - 12 = -3*b. Let n be (l - 2) + 7/(168/129). Determine p, given that -1/8*p**2 - n*p + 0 = 0.
-3, 0
Let b(u) = 4*u**4 + 47*u**3 - 41*u**2 - 29*u - 22. Let s(j) = -2*j**4 - 21*j**3 + 21*j**2 + 15*j + 10. Let w(r) = 5*b(r) + 11*s(r). Factor w(n).
-2*n*(n - 5)*(n + 1)*(n + 2)
Suppose -15*o + 736 = 736. Suppose o = -126*l + 111*l + 90. Determine k, given that 0 + 3/2*k**3 + 0*k**2 - l*k = 0.
-2, 0, 2
Let c(w) = -3*w**3 - 6*w**2 + w - 8. Let h be c(0). Let t(n) = -4*n**2 - 13*n + 11. Let k(p) = 10*p**2 + 40*p - 34. Let g(l) = h*t(l) - 3*k(l). Factor g(r).
2*(r - 7)*(r - 1)
Let r(p) = -9*p**2 + 11*p + 24. Let a be 6 - 3 - (1 + (57 - 0)). Let c(n) = -125*n**2 + 155*n + 335. Let w(y) = a*r(y) + 4*c(y). Factor w(q).
-5*(q - 4)*(q + 1)
Let x(u) be the second derivative of -u**5/10 + u**4 - 5*u**3/3 - 921*u. Solve x(t) = 0 for t.
0, 1, 5
Determine o so that -291*o**3 - 6480*o + 46656/5 - 2547*o**2 - 13*o**4 - 1/5*o**5 = 0.
-24, -9, 1
Suppose -f + 109 = -4*l + 117, 0 = -f + 3*l - 6. Let m(v) be the first derivative of -2/69*v**3 + f*v**2 - 7 + 0*v. Factor m(n).
-2*n**2/23
Let c = -150461 + 300923/2. Determine h, given that -72 + 12*h - c*h**2 = 0.
12
Let l(x) be the first derivative of x**3/4 - 1533*x**2/8 - 384*x + 3224. Find u such that l(u) = 0.
-1, 512
Let n(a) = 13*a + 34. Let w be n(4). What is p in 84*p**3 - 178*p**3 + w*p**3 + 3 - 4*p**4 + 1 + 8*p = 0?
-1, 1
Let l(k) be the second derivative of k**7/273 + 4*k**6/65 + 19*k**5/65 + 8*k**4/39 - k**3 - 28*k**2/13 - 68*k + 9. Find b such that l(b) = 0.
-7, -4, -1, 1
Let v(z) = -3*z + 15. Let a(i) = 4*i - 23. Let o(n) = -5*a(n) - 7*v(n). Let q be o(8). Determine k so that 11*k - 33*k**2 - 3 - 6*k**3 - 27*k + q + 4*k = 0.
-5, -1, 1/2
Let y(f) = -13*f**4 - 55*f**3 - 139*f**2 - 4*f + 183. Let b(k) = -2*k**4 - 2*k**3 - k**2 + 1. Let r(p) = 21*b(p) - 3*y(p). Factor r(d).
-3*(d - 44)*(d - 1)*(d + 2)**2
Let u be 1*(5 - 40/(-4)). Let -4*k - 30 + k + u*k**2 + 0*k**3 + 3*k**3 + 15*k**2 = 0. Calculate k.
-10, -1, 1
Let w be 5 + (71847/18)/(-9). Let o = 440 + w. Factor -15/2*j + o*j**2 + 0.
3*j*(j - 5)/2
Let u = 100045476/20324395 - 1815/16457. Let q = u + -3/247. What is z in 4*z - q*z**2 - 6/5 + 12/5*z**3 - 2/5*z**4 = 0?
1, 3
Let s(v) = 15*v**2 - 7. Let f(r) = -7*r**2 + 3. Let p(b) = -5*f(b) - 2*s(b). Let w be p(-4). Solve w*d**2 + 4 - 5*d**3 - 83*d**2 + 3*d**3 + 2*d = 0 for d.
-2, -1, 1
Suppose 392 - 6*f + 284224*f**2 - 96*f - 284223*f**2 = 0. Calculate f.
4, 98
Let i be (2 + -4 - -1)*(69 - -2). Let n = i + 72. Factor 13 - 32*b + 10*b + 6*b**2 - n.
2*(b - 3)*(3*b - 2)
Let v(t) be the second derivative of 13/3*t**4 + 3*t + 1/5*t**5 + 72*t**2 - 3 + 32*t**3. Factor v(c).
4*(c + 1)*(c + 6)**2
Let t(z) be the second derivative of -z**5/4 + 55*z**4/3 + 1735*z**3/6 + 1275*z**2 + 6009*z. Factor t(f).
-5*(f - 51)*(f + 2)*(f + 5)
Let v(z) be the first derivative of -1/6*z**3 - 5/4*z**2 - 42 - 3*z. Factor v(q).
-(q + 2)*(q + 3)/2
What is d in -562*d - 36*d**2 + 22 + 82*d + 45*d**2 + 137 = 0?
1/3, 53
Suppose 3*s = -3*w + 75, w = -0*w - 3*s + 21. Let j be 0 - -1 - (-45)/w. Suppose 20/3*c - 16/3 + 2*c**2 - j*c**3 - 2/3*c**4 = 0. Calculate c.
-4, -2, 1
Suppose -29*s + 15 + 130 = 0. Let q(n) be the third derivative of -12*n**3 + 0*n + 11/30*n**s - 19*n**2 - 1/60*n**6 - 2*n**4 + 0. Factor q(j).
-2*(j - 6)**2*(j + 1)
Let a = -189 - -240. Solve 2*d**2 + 2 - a*d + 2*d - 14 - 6*d**2 = 0 for d.
-12, -1/4
Let s(n) be the first derivative of -n**3/12 - 71*n**2/2 + 285*n/4 - 3002. Solve s(v) = 0 for v.
-285, 1
Suppose 47*w - 50*w = -1251. What is t in -191*t**2 + 5*t**3 + 5*t**4 + w*t**2 - 286*t**2 + 80 + 20*t = 0?
-4, -1, 2
Let u(b) be the first derivative of -2*b**5/55 - 17*b**4/22 - 38*b**3/11 - 67*b**2/11 - 52*b/11 + 1670. Let u(k) = 0. What is k?
-13, -2, -1
Suppose s = 10 - 8. Factor -12*h**2 - 30*h + 4*h**s + 3*h**2 + 35.
-5*(h - 1)*(h + 7)
Let n = -18 + 104. Suppose 6 = -5*c + n. Factor -4*x**3 - 15*x + c + 20*x**2 + 3*x - 20*x.
-4*(x - 2)**2*(x - 1)
Let f(p) be the first derivative of -p**7/1120 - p**6/480 - 2*p**3/3 - 19*p - 85. Let a(b) be the third derivative of f(b). Factor a(s).
-3*s**2*(s + 1)/4
Let u = 163 + -92. Suppose 378 - 64*w - 731 - u*w**2 + 44*w**4 - 61*w**2 + 369 - 8*w**3 = 0. Calculate w.
-1, 2/11, 2
Suppose 10976*t = 4*y + 10979*t + 48, 0 = -2*y + 4*t + 86. Find q, given that 12/5*q**2 + 128/5 + 4/5*q**y - 144/5*q = 0.
-8, 1, 4
Factor 12*m**3 + 230*m**2 - 2*m - 5 + 6*m - 233*m**2 - 13*m**3 + 5*m.
-(m - 1)**2*(m + 5)
Let q(l) be the third derivative of 0*l + 1/420*l**5 - 13/168*l**4 + 166*l**2 - 2 - 1/3*l**3. Solve q(n) = 0 for n.
-1, 14
Suppose -3*i - 4*o = -104, -38 = -i - 5*o + 15. Let p be (-13)/(-7) - (-4)/i. Factor -29 - 266*z**4 - 49*z**5 - 80*z**p + 115*z + 61*z - 3 - 424*z**3.
-(