d) = -2*d**3 - 188*d**2 - 224*d - 3531. Let p be s(-93). Factor -2/9*o**4 + 4/9*o**p + 0 - 2/9*o**2 + 0*o.
-2*o**2*(o - 1)**2/9
Let n(c) be the first derivative of -16/3*c + 63 - 2/3*c**2 + 2/9*c**3. Factor n(w).
2*(w - 4)*(w + 2)/3
Let w(p) be the third derivative of p**5/60 - 5*p**4/12 - 125*p**3/2 - 2190*p**2. Factor w(q).
(q - 25)*(q + 15)
Let b be (-427)/(-244) + 255/(-180). Solve -b*f**2 + 0 + f = 0 for f.
0, 3
Let p(n) be the second derivative of -2*n**2 + 1/90*n**5 + 5/18*n**4 + 0 - 4*n + 25/9*n**3. Let u(r) be the first derivative of p(r). Factor u(z).
2*(z + 5)**2/3
Suppose 4*j - c = 42 + 19, -j + c = -19. Let f be (4/j)/((-50)/(-700)). Let 2/3 + 10/3*g - 1/2*g**5 - 7/6*g**f + 9/2*g**2 + 7/6*g**3 = 0. What is g?
-2, -1, -1/3, 2
Let l be (-102)/(-22) - 312/(-858). Let w(p) be the third derivative of 1/330*p**l - 1/132*p**4 + 0*p - 2/33*p**3 - 2*p**2 + 0. Factor w(o).
2*(o - 2)*(o + 1)/11
Let t = -306 + 310. Let b be (-7)/(-28) + 9/(-4) + t. Factor 3/5*i**b + 6/5 + 9/5*i.
3*(i + 1)*(i + 2)/5
Suppose -26*y + 38*y = 8448. Factor -5 - 20*c + 1 - 713*c**2 + y*c**2.
-(c + 2)*(9*c + 2)
Let f(v) = -32*v - 3*v**2 - 3*v**2 + 69 - 45. Let n(p) = 12*p**2 + 64*p - 48. Let h(g) = -5*f(g) - 2*n(g). Solve h(q) = 0 for q.
-6, 2/3
Let u(z) = -2337*z + 21038. Let k be u(9). Factor 0*b - 3*b**3 + 3/7*b**k - 18/7*b**4 + 0 + 0*b**2.
3*b**3*(b - 7)*(b + 1)/7
Determine i so that -64/7*i**2 - 12*i**3 + 20/7*i**5 + 0 + 16/7*i**4 + 16/7*i = 0.
-2, -1, 0, 1/5, 2
Let t be ((-52)/(-260))/((-6)/40 + (-12)/(-30)). Let 2/5*v**3 - 4/5*v**2 - 2/5*v + t = 0. What is v?
-1, 1, 2
Find p, given that 170*p**2 - 85*p**2 - 82*p**2 + 166 + 95*p + 986 + 298*p = 0.
-128, -3
Suppose -21*g + 10*g = 891. Let v = g - -85. Determine a so that 35*a**v - 25*a**3 + 25*a + 108 - 45*a**2 - 42 - 56 = 0.
-1, -2/7, 1
Let l(u) be the second derivative of -u**5/12 + 145*u**4/36 - 1235*u**3/18 + 845*u**2/2 + 8738*u. Determine g so that l(g) = 0.
3, 13
Let d(f) be the second derivative of 1/20*f**4 - 4*f - 6/5*f**3 - 39/10*f**2 + 36. Factor d(c).
3*(c - 13)*(c + 1)/5
Let j(r) be the first derivative of r**3/27 - 92*r**2/9 + 175*r + 7667. Solve j(u) = 0 for u.
9, 175
Let l be 22 + -9 + -2 + 1 + -10. Factor 32/9 + 2/9*b**l + 16/9*b.
2*(b + 4)**2/9
Let y(w) be the first derivative of 3*w**4/32 + 79*w**3/8 + 453*w**2/16 - 693*w/8 - 3800. Determine c, given that y(c) = 0.
-77, -3, 1
Let u(k) be the second derivative of k**6/6 + 11*k**5/4 + 55*k**4/6 - 50*k**3 - 180*k**2 - 3048*k. Let u(j) = 0. Calculate j.
-6, -1, 2
Let n(b) be the third derivative of b**7/1680 - 7*b**6/960 - 23*b**5/160 - 39*b**4/64 + 3506*b**2. Factor n(m).
m*(m - 13)*(m + 3)**2/8
Let p = -3018 + 3018. Let o(f) be the third derivative of -4/39*f**3 + 0*f - 2/39*f**4 - 1/780*f**6 + p + f**2 - 1/78*f**5. Factor o(b).
-2*(b + 1)*(b + 2)**2/13
Let j(m) be the first derivative of 4*m**3/3 - 1808*m**2 + 3612*m + 3037. Let j(z) = 0. Calculate z.
1, 903
Let t be 1*-1 + (-6)/(-5). Let i be -16 + 6 + 12 + -9 + 9. Suppose t*k**i + 0 + 8/5*k = 0. What is k?
-8, 0
Let u(b) = 512*b + 1540. Let z be u(-3). Let x(y) be the second derivative of -9/2*y**2 + y**3 + 0 + 25*y + 1/4*y**z. Determine i so that x(i) = 0.
-3, 1
Let k = -18 + 20. Suppose -5*n + 0*n + 40 = 3*q, 0 = 4*q + k*n - 30. Factor 12*l**2 + 0 - q*l**2 + 3 + 9*l - 1.
(l + 1)*(7*l + 2)
Let c = 47 + -44. Suppose -c*d = -4*d + 2. Factor -4 + 3*j**d + 3*j**3 + 6*j**2 + 4.
3*j**2*(j + 3)
Let d(j) = j**2 - 36*j + 71. Let a be d(37). Let o be ((-48)/252)/((-224)/a - -2). Factor -18/7 - 33/7*b - o*b**2 - 3/7*b**3.
-3*(b + 1)*(b + 2)*(b + 3)/7
Let j be ((-3)/(-6))/(12/(-36))*-2. Let b = -137/10 - -76/5. What is o in -3/2 - b*o**2 - j*o = 0?
-1
What is u in -20176*u**4 - 3*u**5 - 53*u**3 + 408 + 78*u + 20233*u**4 - 22*u**3 - 465*u**2 = 0?
-2, -1, 1, 4, 17
Suppose -z = 2*v + 43, 632 = z + 5*v + 684. Let g be (-4)/7 - (16169/483)/z. Factor -g*s**3 + 1/3*s - 1/3*s**2 + 1/3.
-(s - 1)*(s + 1)**2/3
Let z(d) be the first derivative of -5*d**4/48 + 5*d**3/6 + 25*d**2/8 + 17*d - 81. Let m(v) be the first derivative of z(v). Factor m(l).
-5*(l - 5)*(l + 1)/4
Determine f so that 18*f**4 - 20170*f + 20527 + 114418*f + 11225 + 68426*f**2 - 2244*f**3 = 0.
-2/3, 63
Let c(k) be the second derivative of -k**7/42 - 2*k**6/3 - 109*k**5/20 - 27*k**4/2 - 12*k**3 - 2251*k. What is b in c(b) = 0?
-12, -6, -1, 0
Suppose 58*i = 56*i - 42. Let t = i + 25. Factor -48 - 5*o**3 - 15*o**2 + 58 + o**t - o**4 + 5*o + 5*o**4.
5*(o - 2)*(o - 1)*(o + 1)**2
Let m(t) be the first derivative of -t**8/560 + t**7/105 + 11*t**6/270 + 2*t**5/45 + 251*t**3/3 + 130. Let h(d) be the third derivative of m(d). Factor h(z).
-z*(z - 4)*(3*z + 2)**2/3
Suppose -2*s + 3 + 3 = 0. Let r be (-42)/(-15)*(-41525)/(-34881). Let 0 + 4*y**s - 2/3*y**4 - r*y**2 + 0*y = 0. What is y?
0, 1, 5
Let s(z) be the third derivative of z**7/42 + 43*z**6/12 + 1225*z**5/12 - 12005*z**4/2 + 470*z**2 + z + 2. Factor s(c).
5*c*(c - 12)*(c + 49)**2
Suppose 0 = 71*n - 897 - 97. Suppose -n*o = 80 - 108. Factor 2/13 + 4/13*k - 2/13*k**4 + 0*k**o - 4/13*k**3.
-2*(k - 1)*(k + 1)**3/13
Let p(b) be the first derivative of b**4/24 + 17*b**3/3 + 427*b**2/4 + 2156*b/3 - 1027. Factor p(x).
(x + 7)**2*(x + 88)/6
Let i be 3/(164/123*9/8). Suppose 4*c**i + 15*c + 0*c**2 - 24 - 35*c = 0. What is c?
-1, 6
Let 0 - 34/7*p**4 + 24/7*p - 16/7*p**5 + 172/7*p**3 + 214/7*p**2 = 0. Calculate p.
-4, -1, -1/8, 0, 3
Let u(h) be the third derivative of -25*h**4/24 + 25*h**3 - 130*h**2. Let m be u(6). Factor 4/13*z**2 + m*z - 2/13*z**4 + 0 - 2/13*z**3.
-2*z**2*(z - 1)*(z + 2)/13
Factor 174*h + 0 + 2/3*h**2.
2*h*(h + 261)/3
Let d = 9813/494 + -262/13. Let o = 227/266 - d. Factor -4/7*x**4 + 0*x + o*x**2 + 0*x**3 - 4/7.
-4*(x - 1)**2*(x + 1)**2/7
Let d be (25/7)/(-11 + 316/28). Let m = 32 - 30. Let 23/2*g - 3 + 3*g**3 - d*g**m = 0. What is g?
1/2, 2/3, 3
Let d(s) = -12*s - 168. Let r be d(-14). Let u(t) be the first derivative of 1/4*t**2 + 0*t**4 + 1/20*t**5 - 1/4*t**3 + r*t - 6. What is p in u(p) = 0?
-2, 0, 1
Let t(u) = 6*u + 4. Let m be t(0). Suppose -m*g - 3*g = -42. Factor -3*w**4 + 39*w + 12*w**3 - 6 + 9*w**3 - g - 45*w**2.
-3*(w - 4)*(w - 1)**3
Factor 196*q - 1/2*q**3 - 49/2*q**2 + 0.
-q*(q - 7)*(q + 56)/2
Let w(m) be the second derivative of m**5/70 + m**4/7 + 8*m**3/21 + 3708*m. Factor w(o).
2*o*(o + 2)*(o + 4)/7
Let v(b) be the first derivative of b**6/1980 - b**5/660 - 26*b**3/3 - 65. Let j(f) be the third derivative of v(f). Determine g, given that j(g) = 0.
0, 1
Let o(y) be the first derivative of -y**5/40 + 101*y**4/32 + 205*y**3/24 + 103*y**2/16 - 138. Factor o(d).
-d*(d - 103)*(d + 1)**2/8
Let z be (-1 - 4) + -1 + 8. Suppose -14*b + 142 = z. Find o, given that o**2 + 0*o**2 - 8 - 33*o + 25*o**3 - 12*o**3 - 3*o**4 - b = 0.
-1, -2/3, 3
Suppose 223 = 5*p + 2*n + 76, -p + 11 = 5*n. Solve 10*t**3 - p*t**3 + 3*t**3 + 5*t**3 + 300*t**2 - 4500*t + 8*t**3 = 0 for t.
0, 30
Let f(h) = 30*h - 108. Let j be f(4). Let c be ((3/(-15))/(j/60))/(-5). Find i such that 2/5*i + 3/5*i**3 + 0 + i**2 - 1/5*i**5 - c*i**4 = 0.
-1, 0, 2
Let w = 2599/11 + -49359/209. Solve 0 + 2/19*q + w*q**2 = 0 for q.
-1, 0
Let n(p) be the first derivative of 1/6*p**6 - 56 - 44/5*p**5 + 41/2*p**2 + 0*p - 124/3*p**3 + 63/2*p**4. Factor n(u).
u*(u - 41)*(u - 1)**3
Let s(r) = -1. Let b(g) = g**2 - 1406*g + 494205. Let z(j) = 3*b(j) - 12*s(j). Find o such that z(o) = 0.
703
Let a(v) be the second derivative of v**5/30 + 4*v**4/9 - 19*v**3/9 + 10*v**2/3 + v - 9. Factor a(y).
2*(y - 1)**2*(y + 10)/3
Suppose -5*n = -3*p + 23, -3*n = p - 5*p + 27. Let w(x) = x**2 - x - 2. Let u(h) = 8*h**2 + 2*h - 36. Let t(b) = p*w(b) - u(b). Solve t(c) = 0 for c.
-6, 2
Let n = 257263 - 257261. Let 50/9 + 5/9*w - 1/9*w**n = 0. What is w?
-5, 10
Solve -3*m**3 - 1995*m + 584 + 837 - 95 + 5864123*m**2 - 5863451*m**2 = 0 for m.
1, 2, 221
Let i(s) = -21 - 7 + 408*s**2 - 83*s + 451*s - 72*s**3. Let q(g) = -13*g**3 + 74*g**2 + 67*g - 5. Let r(o) = 5*i(o) - 28*q(o). Solve r(w) = 0 for w.
-1, 0, 9
Let v(h) = 40*h**2 - 585*h**3 - 569*h**3 + 1141*h**3 + 694*h + 1674. Let y(w) = 32*w**3 - 100*w**2 - 1736*w - 4184. Let d(q) = -12*v(q) - 5*y(q). Factor d(r).
-4*(r - 13)*(r + 4)**2
Let x(s) = 4*s**2 - 2*s + 4. Suppose -45*z = -52*z + 14. Let u = -15 + 9. Let b