uppose 13*f + 4*f = 425. Let u be f/15*-3*-1. Find a such that -a + 7*a**2 + u*a - 12*a**2 + 3*a**2 = 0.
0, 2
Let m = 306 + -324. Let x be (72/96)/(m/(-4)). Factor x + 0*p - 1/6*p**2.
-(p - 1)*(p + 1)/6
Let 2625*w + 65*w**4 - 205*w**3 + 2152*w**2 - 60*w**4 - 167*w**2 - 4410 = 0. Calculate w.
-2, 1, 21
Let d(q) be the first derivative of 2*q**3/3 - 22*q**2 + 144*q - 2770. Factor d(w).
2*(w - 18)*(w - 4)
Let o(k) be the third derivative of -k**5/180 - 233*k**4/36 - 464*k**3/9 - k**2 + 36*k. Factor o(v).
-(v + 2)*(v + 464)/3
Let r(o) be the first derivative of -3*o**4/8 + 47*o**3/2 - 96*o**2 - 264*o + 4239. Factor r(z).
-3*(z - 44)*(z - 4)*(z + 1)/2
Let u = -758 + 772. Factor u*i**4 - 575*i**2 + 24*i + 11*i**3 + 487*i**2 - i**3.
2*i*(i - 2)*(i + 3)*(7*i - 2)
Let v(f) be the first derivative of 15/8*f**2 - 9/8*f + 49 - 3/8*f**3. Factor v(u).
-3*(u - 3)*(3*u - 1)/8
Let r(z) be the second derivative of 27*z**5/40 + 19*z**4/4 + 2*z**3 + 2*z + 96. Solve r(g) = 0 for g.
-4, -2/9, 0
Let o = 122073/65144 - -9/8143. Let l(s) = -2*s - 2. Let k be l(-2). Factor o*x + 3/8*x**k + 3/2.
3*(x + 1)*(x + 4)/8
Let n be (-101332)/(-11858) - (-17 + 1)/(-2). Find h such that -4/11*h**2 - 8/11*h**3 - 2/11*h**4 + 8/11*h + n = 0.
-3, -1, 1
Let o(t) = -35*t**2 + 8*t. Let k(y) = -595*y**2 + 135*y. Let u(f) = 9*f + 20. Let z be u(-2). Let m(w) = z*k(w) - 35*o(w). Find p, given that m(p) = 0.
0, 2/7
Let j(o) be the second derivative of -3*o**5/4 + 1345*o**4/12 + 910*o**3/3 + 3*o - 574. Factor j(x).
-5*x*(x - 91)*(3*x + 4)
Let d(o) be the first derivative of -105 - 75/4*o**2 + 11*o - 7/6*o**3. Factor d(m).
-(m + 11)*(7*m - 2)/2
Let s(f) be the first derivative of -f**3/12 + 117*f**2 - 54756*f + 8425. Factor s(o).
-(o - 468)**2/4
Let m = -1107 - -1112. Let d(o) be the second derivative of -8/9*o**2 + 0 + 3*o + 1/27*o**4 + 1/90*o**m - 4/27*o**3. Factor d(u).
2*(u - 2)*(u + 2)**2/9
Let f be (2/8)/((-7)/(-84)). Let d(z) be the third derivative of -1/960*z**6 - 1/480*z**5 + 1/32*z**4 + 0*z + 17*z**2 + 0*z**f + 0. Factor d(c).
-c*(c - 2)*(c + 3)/8
Let g be -1 + (-10 - -5)*-1. Factor -159*w**4 + 69*w**g - 60*w**3 + 2*w**5 - 27*w**5 + 40*w**2.
-5*w**2*(w + 2)**2*(5*w - 2)
Let m be (-10 - (-5)/1) + 6 + -5. Let q be -1 + m/(-12) - (-16)/15. Suppose 0 - 2/15*a**4 + 0*a**3 + q*a**2 + 4/15*a = 0. Calculate a.
-1, 0, 2
Factor 2/5*x**2 - 1132/5 + 226*x.
2*(x - 1)*(x + 566)/5
Let z(s) be the first derivative of -s**6/3 - 2*s**5/5 + 15*s**4 - 1135. Factor z(m).
-2*m**3*(m - 5)*(m + 6)
Let t(w) be the second derivative of 0*w**2 + 5 + 0*w**3 + 4*w - 1/42*w**4. Factor t(z).
-2*z**2/7
Let w(k) be the first derivative of 2/5*k**3 - 234 + 2/15*k - 4/15*k**5 + 11/30*k**4 - 11/15*k**2. Let w(v) = 0. What is v?
-1, 1/10, 1
Let d(h) = -11*h**2 - 3*h**2 - 7952 - 656*h + 27*h**2 - 11*h**2. Let w(q) = q**2 - 218*q - 2651. Let s(y) = -6*d(y) + 17*w(y). Let s(p) = 0. What is p?
-23
Let j(t) be the second derivative of -24/7*t**2 - 9/70*t**6 - 42*t + 2/7*t**4 + 0 - 16/7*t**3 + 18/35*t**5. Determine b so that j(b) = 0.
-2/3, 2
Let b(o) = -39 + 12*o**2 - 3*o**2 + 7*o + 16 + 16. Let k(q) = 4*q**2 + 4 + 5*q - 2*q - 7. Let h(x) = -3*b(x) + 7*k(x). Suppose h(v) = 0. Calculate v.
0
Let h(i) = 3*i**2 - 10*i + 15. Let v be h(5). Suppose v*n - 53*n = 0. Factor -3/4*z**5 + 9/4*z**3 + n + 3/2*z + 3/4*z**4 - 15/4*z**2.
-3*z*(z - 1)**3*(z + 2)/4
Let g(p) = 10*p**2 - 2*p - 1. Let o(l) = -2*l**3 - 154*l**2 + 20*l + 38. Let n(q) = -28*g(q) - 2*o(q). Factor n(t).
4*(t - 1)*(t + 2)*(t + 6)
Factor -64/11 - 8/11*v + 2/11*v**2.
2*(v - 8)*(v + 4)/11
Let f = 7313/140 + -7243/140. Let g = 3 + -1. Find s such that s**g - 1/2*s**4 + 0*s + 0*s**3 - f = 0.
-1, 1
Suppose 12*c + 5*z - 9 = 0, 2*c - 16 = -61*z + 65*z. Factor -28/9 - 2/9*i**3 - 8/3*i**c + 6*i.
-2*(i - 1)**2*(i + 14)/9
Let d(q) = -6*q**3 + 31*q**2 + 76*q + 41. Let n(x) = -x**3 + x**2 + x + 1. Let w(t) = -d(t) + n(t). Determine o so that w(o) = 0.
-1, 8
Let m(n) be the first derivative of n**3/6 + n**2/4 - 6*n + 482. Factor m(d).
(d - 3)*(d + 4)/2
Suppose 0 = 4*l - 5*s - 28, -4*s - 14 = -3*l + 4*l. Suppose l*r - 9 = -r. What is j in -2*j**r - 435*j + 435*j - 8*j**2 = 0?
-4, 0
Let o(g) be the first derivative of -2*g**5/5 + 117*g**4/2 + 3284*g**3/3 + 6204*g**2 + 9360*g + 1671. Determine a so that o(a) = 0.
-6, -1, 130
Let f(x) be the second derivative of -x**5/80 + 125*x**4/12 + 167*x**3/8 + 2793*x. Factor f(i).
-i*(i - 501)*(i + 1)/4
Let h = -43 + 47. Let g be (-7)/(-14)*(-2)/5*(-51 - -26). Let -4/3*x**2 - 2/3*x**g + 2/3*x**h + 4/3*x**3 + 2/3 - 2/3*x = 0. Calculate x.
-1, 1
Let i be 11/(-4) + 2 - (-22)/8. Suppose 3*l + 3*d = -l + 5, d + 7 = 3*l. Factor -5 - 3*c**l + 9*c - 4 + 5 - i.
-3*(c - 2)*(c - 1)
Let t(v) be the first derivative of -4*v**5/45 + v**4/9 + 4*v**3/27 - 2*v**2/9 + 9716. Determine r, given that t(r) = 0.
-1, 0, 1
Factor 2*n**3 - 1020 - 3410*n + 216 - 902 - 1702*n**2.
2*(n - 853)*(n + 1)**2
Let c(w) be the second derivative of 2*w**7/21 + 49*w**6/15 + 192*w**5/5 + 554*w**4/3 + 1232*w**3/3 + 384*w**2 - 1094*w. Determine z, given that c(z) = 0.
-12, -8, -2, -1/2
Let h = -77 + 70. Let r be 2/h + 2132/1435. Find d, given that -r*d**3 + 0 + 2*d**2 + 4/5*d = 0.
-1/3, 0, 2
Let z(y) be the third derivative of y**5/20 + 21*y**4/8 + 49*y**3 + 886*y**2. Solve z(a) = 0.
-14, -7
Suppose -w = 191 - 31. Let u = -796/5 - w. Factor 4/5*t - u*t**3 + 0 + 0*t**2.
-4*t*(t - 1)*(t + 1)/5
Suppose 2*k + h + 1 = 0, -89*h - 27 = -k - 84*h. Let 2/13*v**4 + 0*v + 28/13*v**3 + 0 - 30/13*v**k = 0. What is v?
-15, 0, 1
Suppose -4*w = 3*k - 57, -3*k - w - 7 + 73 = 0. Let j(f) = 2*f - 44. Let z be j(k). Factor 25*q**z + 0*q + 14*q + 20*q**3 - 2*q - 7*q.
5*q*(q + 1)*(4*q + 1)
Suppose 1504 + 344 = 3*k + 5*r, 4*k - 2464 = -5*r. Let f = 620 - k. What is y in -2/9*y**f + 2/9*y**2 - 2/3*y**3 + 2/9*y**5 + 0 + 4/9*y = 0?
-1, 0, 1, 2
Let x be ((-7)/(-35) - 1052/(-90)) + (-1)/(-9). Let r(u) = -u**2 + 4*u. Let d be r(3). Let 2*b + 307*b**d - 319*b**3 + x*b**2 + 3*b**4 - 2*b = 0. What is b?
0, 2
Let h(z) be the first derivative of -z**5 + 115*z**4/2 - 480*z**3 + 1485*z**2 - 1755*z - 11942. Find t such that h(t) = 0.
1, 3, 39
Factor -288*q**3 + 167334/7 + 6/7*q**4 - 48096*q + 171348/7*q**2.
6*(q - 167)**2*(q - 1)**2/7
Let y(c) be the third derivative of c**5/330 + 50*c**4/3 + 110000*c**3/3 - 141*c**2 - 12. Solve y(x) = 0.
-1100
Suppose 2*b - 9*b = 0. Factor -3*p**3 - p**3 - 95*p**2 + b*p**4 + 4*p**4 + 71*p**2.
4*p**2*(p - 3)*(p + 2)
Let w(l) be the first derivative of l**6/10 + 3*l**5/20 - l**4/2 - 59*l + 52. Let p(c) be the first derivative of w(c). Determine m so that p(m) = 0.
-2, 0, 1
Let p(f) = -22*f + 106. Let w(i) = -11*i + 53. Let o(x) = -6*p(x) + 11*w(x). Let l be o(5). Find k, given that 1/4*k**l + 0 - 1/4*k**4 - 1/2*k + 1/2*k**3 = 0.
-1, 0, 1, 2
Suppose -2*j = -5*n - 39, 74*j + 104 = 80*j - 2*n. Let z(w) be the first derivative of 1/4*w**4 + 0*w**3 + 0*w**5 + 0*w - 1/12*w**6 - 1/4*w**2 - j. Factor z(x).
-x*(x - 1)**2*(x + 1)**2/2
Let m(g) = g**4 - g**3 + 10*g**2 - 2. Let q(i) = 13*i**4 - 65*i**3 - 631*i**2 - 731*i - 138. Let a(x) = -20*m(x) + 5*q(x). Solve a(p) = 0 for p.
-5, -1, -2/9, 13
Let b(f) = -2*f**5 + f**4 - 192*f**3 + 608*f**2 - 253*f. Let o(s) = -2*s**5 + s**4 - 384*s**3 + 1216*s**2 - 507*s. Let i(g) = -10*b(g) + 6*o(g). Solve i(z) = 0.
-8, 0, 1/2, 4
Let a(s) be the second derivative of 2*s**6/15 + 133*s**5/5 - 544*s**4/3 + 1096*s**3/3 + 2*s - 61. Solve a(d) = 0 for d.
-137, 0, 2
Factor 89780*x + 1345*x**3 + 39659*x**2 + 4*x**4 + x**4 + 51461*x**2 - 3*x**4 + 3*x**4.
5*x*(x + 1)*(x + 134)**2
Let s(v) = 4*v**2 - 4*v**2 - 4*v - v**2 + 2*v**2 + 7. Let z be s(2). Factor -u + 20*u**3 - 4*u**2 + z*u**2 - 19*u**3 + 1.
(u - 1)**2*(u + 1)
Factor 166 + 543*a + 58 + 273*a**2 - 58*a**3 + 47 + 59*a**3.
(a + 1)**2*(a + 271)
Let f be 24/36*(-6)/32*(-112)/21. Let l(b) be the third derivative of 16*b**2 + 19/30*b**4 + 0 - 4/75*b**5 + 0*b + f*b**3. Let l(j) = 0. Calculate j.
-1/4, 5
Let m(b) be the third derivative of 0 + 0*b**4 + 0*b**3 + 0*b**5 + 65*b**2 - 1/140*b**7 - 3/80*b**6 + 0*b. Factor m(w).
-3*w**3*(w + 3)/2
Suppose -89 + 287 = 6*r. Let x = r - 33. Factor -24*n**2 - 16 + x*n**3 - 14*n - 2*n**3 - 22*n - 2*n**3.
-4*(n + 1)**2*(n + 4)
Let h be 7/28 - 18/8. Let p(n) = 10*n**4 - 22*n**3 + 10*n*