11/735*x**7 - 3 - 19/420*x**6 - 1/1176*x**8 - 3/70*x**5. Factor h(s).
-2*s**2*(s + 1)**2*(s + 9)/7
Let r(g) = 3*g**5 + g**4 + g**2 + g. Let o(s) = -4*s**5 + 10*s**4 - 33*s**3 + 12*s**2 + 33*s - 24. Let q(k) = o(k) + r(k). Let q(v) = 0. Calculate v.
-1, 1, 4, 6
Suppose -k + 514 = 1044. Let h = 533 + k. Let 0*m + 6/5*m**2 + 0 - h*m**3 - 12/5*m**5 - 33/5*m**4 = 0. Calculate m.
-2, -1, 0, 1/4
Let i = 4142/5705 + -126/815. Factor -i*o**4 + 4*o**2 + 0 + 8/7*o**3 + 16/7*o.
-4*o*(o - 4)*(o + 1)**2/7
Factor -212*h**5 + 0*h + 2*h**2 - 2*h**4 + 2*h**3 + 210*h**5 - 3*h + 3*h.
-2*h**2*(h - 1)*(h + 1)**2
Let o(q) = q**3 + 16*q**2 + 22*q - 3. Let j be o(-7). Let u = j + -282. Factor 3/7*n + 0 + 3/7*n**u.
3*n*(n + 1)/7
Let a = 2321 - 2317. Let r be 20/230 + (a - 194/115). Factor -6/5*z**3 - 12/5 - 3/5*z**4 + 9/5*z**2 + r*z.
-3*(z - 1)**2*(z + 2)**2/5
Let 13860*a**3 + 2478*a**2 + 6714*a**2 - 6160*a - 842*a**4 - 4096 + 896*a**4 = 0. What is a?
-256, -2/3, 2/3
Suppose 5*h - 354 = -4*b, -3*h + 2*b - 92 + 300 = 0. Factor -1136*i + 46*i - 766 + 119*i**2 + h*i + 10*i**4 + 46 - 155*i**3 + 641*i**2.
5*(i - 6)**2*(i - 4)*(2*i + 1)
Let f = 2771/154 - 1270/77. Find o, given that o**2 + 0 - 5/4*o**4 + 1/4*o**5 + f*o**3 - 2*o = 0.
-1, 0, 2
Suppose -5*u + 237 = 172. Suppose -u*l = -2*l - 33. Determine n so that 0 + 1/2*n**4 + 0*n - 1/2*n**2 + l*n**5 - 3*n**3 = 0.
-1, -1/6, 0, 1
Let d(p) = 19*p**4 - 132*p**3 - 457*p**2 - 264*p - 6. Let x(b) = -18*b**4 + 132*b**3 + 458*b**2 + 264*b + 4. Let t(l) = -2*d(l) - 3*x(l). What is h in t(h) = 0?
-2, -3/4, 0, 11
Let g(j) = -33*j**2 - 13*j - 6. Let b be g(-2). Let o be 0 + 2 - 544/b. Factor -40/7*s**3 - 4/7 - 12/7*s**4 - o*s**2 - 24/7*s.
-4*(s + 1)**3*(3*s + 1)/7
Let x(n) = 2*n**2 + 922*n + 25058. Let a be x(-432). Factor -4/3*s**a - 16/3 - 16/3*s.
-4*(s + 2)**2/3
Let r(x) be the first derivative of x**6/960 + 7*x**5/480 + x**4/32 - 81*x**2/2 + 218. Let z(l) be the second derivative of r(l). Find w, given that z(w) = 0.
-6, -1, 0
Let b be 3 - ((-458)/8 + (-100)/(-80)). Suppose 0 = 2*k - b + 11. Factor 108 - k*p**2 + 0*p**3 + 0*p + 4/3*p**4.
4*(p - 3)**2*(p + 3)**2/3
Let c be (-10)/(-24)*(-368)/(-18400). Let s(i) be the third derivative of 0 + 0*i + 1/6*i**3 + 1/8*i**4 + 1/20*i**5 + c*i**6 - 17*i**2. Factor s(h).
(h + 1)**3
Let m(i) = i**2 + 20*i + 3. Let y be m(-17). Let a be (44/y + 1)/((-30)/(-320)). Find r, given that a + 4/9*r - 4/9*r**2 = 0.
-1, 2
Let s(u) be the first derivative of -4*u**5/5 + 157*u**4 - 2464*u**3/3 + 1224*u**2 + 5736. Suppose s(l) = 0. Calculate l.
0, 2, 153
Let f(x) be the second derivative of -x**5/100 - 83*x**4/60 + 169*x**3/30 - 17*x**2/2 + 4120*x. Factor f(n).
-(n - 1)**2*(n + 85)/5
Suppose -2164*y + 3149 = -3479 + 2300. Solve -10/3*d**y + 1/6*d**5 - 2/3*d**4 - 7/6*d - 3*d**3 + 0 = 0.
-1, 0, 7
Let c(d) = -100*d - 334 + 2*d**2 - 2473 + 303 + d**2. Let i(w) = -5*w**2 + 200*w + 5007. Let v(g) = 7*c(g) + 4*i(g). What is m in v(m) = 0?
-50
Let u(q) = 2*q**2 + 80*q + 62. Let n(s) = -s**2 - 27*s - 20. Let a = 891 - 883. Let l(r) = a*n(r) + 3*u(r). Let l(t) = 0. What is t?
-1, 13
Let n(p) = -p**2 + p + 15. Let k be n(4). Factor 32 + c**2 - 35*c**3 - 55*c + 68 + 19*c**3 - 41*c**2 + 11*c**k.
-5*(c - 1)*(c + 4)*(c + 5)
Let a be 2/(-18)*(-234)/104. Let z(b) be the second derivative of -5/2*b**3 - 5/3*b**4 + 0 + a*b**5 + 19*b + 45*b**2. Factor z(m).
5*(m - 3)**2*(m + 2)
Let f be 0 - -5 - ((-10946)/312 - -40). Let c(i) be the first derivative of 1/4*i + f*i**3 + 1/4*i**2 + 27. Let c(r) = 0. Calculate r.
-1
Solve 4*k**3 + 124*k**2 - 256*k**2 - 432 + 64*k**2 + 336*k = 0.
2, 6, 9
Let u(m) be the second derivative of -m**4/6 - 61*m**3 + 162*m. Let u(a) = 0. Calculate a.
-183, 0
Let m(q) = -7*q**3 - 314*q**2 - 559*q + 870. Let x(s) = -4*s**3 - 159*s**2 - 278*s + 435. Let p(o) = -3*m(o) + 5*x(o). Factor p(y).
(y - 1)*(y + 3)*(y + 145)
Let w be (-135)/(-75)*225/162. Factor -15/4*o**3 + w*o + 0 - 25/4*o**2.
-5*o*(o + 2)*(3*o - 1)/4
Find c such that 4780*c - 6490*c + 6*c**2 - 3*c**2 + 1707 = 0.
1, 569
Suppose 664/3*f**2 + 0*f + 0 - 2/3*f**4 - 662/3*f**3 = 0. Calculate f.
-332, 0, 1
Let y = -2 - -7. Let k be (-23)/(-5) + 2*1/y. Find t such that 20*t**3 + 147*t**2 + 143*t**2 + k*t**4 - 295*t**2 - 20*t**5 = 0.
-1, 0, 1/4, 1
Let p = 6844465/13 + -526497. Solve 16/13*l**2 - 14/13*l + 2/13*l**5 - p*l**4 - 4/13*l**3 + 4/13 = 0.
-2, 1
Let s(r) be the third derivative of 3*r**7/70 - 7*r**6/40 - 67*r**5/20 + 203*r**4/8 - 30*r**3 + 3*r**2 + r - 348. Solve s(o) = 0.
-5, 1/3, 3, 4
Suppose w - 8 = -6*x + 10*x, -4*w - 5*x + 11 = 0. Factor -27*s**3 + 0*s**3 - 64*s**2 + 12*s**3 - 2*s**w - 21*s**3.
-2*s**2*(s + 2)*(s + 16)
Let o be (9 + (-232)/24)*(-18678)/4. Solve 12*j**2 - 20*j + 2*j**4 - o + 4*j**2 + 3095 + 20*j**3 = 0.
-9, -1, 1
Suppose -z = -4*c + 153, -4*z + 9 = -z. Determine n so that 2*n**2 + 2*n**2 + c*n**3 - 49*n**3 + 11*n**2 - 5*n**4 = 0.
-3, 0, 1
Factor -595*j + 1228*j**2 + 1229*j**2 - 2454*j**2 + 951 - 359*j.
3*(j - 317)*(j - 1)
Let c(j) = j**3 + 103*j**2 + 761*j + 10. Let r be c(-8). Factor 0 - 2/5*s**3 + 0*s**r - 2/15*s**4 + 0*s.
-2*s**3*(s + 3)/15
Let k(h) be the second derivative of 3/20*h**5 - 177957/2*h**2 - 117/4*h**4 + 49*h + 4563/2*h**3 + 1. Find u, given that k(u) = 0.
39
Factor -115*c**3 + 60 + 200*c**2 + 387*c**3 - 200*c**3 + 188*c - 4*c**4 - 4*c**5.
-4*(c - 5)*(c + 1)**3*(c + 3)
Let a(u) = 46*u**2 + 3858*u + 3776. Let f(x) = -19*x**2 - 1544*x - 1510. Let k(z) = 5*a(z) + 12*f(z). Factor k(r).
2*(r + 1)*(r + 380)
Let d(f) be the third derivative of 25*f**7/42 + 95*f**6/24 + 19*f**5/2 + 65*f**4/6 + 20*f**3/3 - 897*f**2 + 6. Factor d(z).
5*(z + 1)*(z + 2)*(5*z + 2)**2
Let d = 119 - 104. Factor -d*m**2 + 18 + 3*m**3 + 65*m + 66*m + 3*m**2 - 128*m.
3*(m - 3)*(m - 2)*(m + 1)
Let i(s) be the third derivative of -2*s**2 - 1/105*s**5 - 2/7*s**4 + 0*s**3 + 0 - 2*s. Solve i(f) = 0.
-12, 0
Let 6*g**2 + 3*g**2 - 8*g**2 - 5*g**2 - 438*g + 6*g**2 = 0. What is g?
0, 219
Suppose -3*m - 3*y = -30, -5*y + 1 = -2*m + 42. Let p be (-5428)/(-299) + (-2)/m. Factor -12*z - p*z**4 + 9*z**5 + 46/3*z**2 + 3*z**3 + 8/3.
(z - 1)*(z + 1)*(3*z - 2)**3/3
What is x in -4*x**3 + 10/3*x**4 - 2/3*x**5 - 8/3*x**2 + 0 + 16/3*x = 0?
-1, 0, 2
Factor -86/3 - 2/3*q**2 + 88/3*q.
-2*(q - 43)*(q - 1)/3
Let j(s) be the second derivative of -s**5/60 + 5*s**4/24 - 2*s**3/3 - 123*s**2/2 - 74*s. Let u(f) be the first derivative of j(f). Find h, given that u(h) = 0.
1, 4
Determine o, given that 76/9*o - 4/9*o**2 + 0 = 0.
0, 19
Let n be -50 + 50 + 2 + (-1)/(-1). Suppose 4*p**n + 118 - 12*p + 121 - 231 = 0. What is p?
-2, 1
Let x(f) be the third derivative of -48841*f**5/12 + 7735*f**4/2 - 1470*f**3 + 15*f**2 - 219. Determine s so that x(s) = 0.
42/221
Suppose -4*a + 29 = 3*m, 4*m + 3*a - 40 + 13 = 0. Suppose 23*u - 22*u = -m, u = 3*p - 9. Find j, given that 6/7*j**p - 16/7*j + 8/7 - 2/7*j**4 + 4/7*j**3 = 0.
-2, 1, 2
Let z be (-238)/(-126)*9 + 658/(-56). Factor -1/4*i**3 - 5/2 - z*i - 3*i**2.
-(i + 1)**2*(i + 10)/4
Let h(r) be the first derivative of r**8/84 - 4*r**7/105 - r**6/10 + 3*r**2 + 5*r + 34. Let d(s) be the second derivative of h(s). Factor d(u).
4*u**3*(u - 3)*(u + 1)
Let p = -9080/3 - -3028. Let t(h) be the first derivative of 0*h - p*h**6 + 0*h**3 - 13 + 1/2*h**4 - 6/5*h**5 + 0*h**2. Factor t(f).
-2*f**3*(f + 1)*(4*f - 1)
Let r be (6/12)/(2 + 42/(-24)). Let j(z) be the third derivative of -10*z**r + 0*z**3 + 1/30*z**5 + 0 + 0*z - 1/6*z**4. Solve j(f) = 0 for f.
0, 2
Let t(v) be the third derivative of -v**6/150 + 2*v**5/75 + 8*v**4/15 - 64*v**3/15 - v**2 + 81*v + 2. Find k, given that t(k) = 0.
-4, 2, 4
Let d be (-9 - 26)/(0 - 1). Suppose -d*b + 8 = -31*b. Factor -84*r**b + r + 87*r**2 - r - 3*r**3.
-3*r**2*(r - 1)
Let c(n) = 5*n**3 - 63*n**2 - 315*n - 253. Let k(b) = 104*b**3 - 1320*b**2 - 6614*b - 5314. Let x(r) = -124*c(r) + 6*k(r). Factor x(z).
4*(z - 32)*(z + 1)*(z + 4)
Suppose -15*w + 39 = 9. Let q(g) be the first derivative of -28/15*g**3 + 7/5*g**4 - 9 - 8/25*g**5 + 4/5*g**w + 0*g. Solve q(f) = 0 for f.
0, 1/2, 1, 2
Factor -19*t**4 + 180*t**3 - 16*t**4 - 25*t**4 + 65*t**4 + 1070*t**2 + 725 + 1831*t - 211*t.
5*(t + 1)**2*(t + 5)*(t + 29)
Suppose -h - 5*d - 16 = -0, 0 = -3*d - 12. Let k be (-810)/(-180)*(-220)/(-6). Factor 2*g**4 - 3*g**4 - k*g**2 + 1