52*o + 556. Let 28/11*c + 2/11*c**o - 64/11 = 0. Calculate c.
-16, 2
Let u be (-2)/75*-5 - (-24 + (-756)/(-70)). Determine x, given that x**2 + 13/3 - u*x = 0.
1/3, 13
Let k(b) be the third derivative of -313/12*b**5 - 10*b**2 - 8 + 110/3*b**4 - 17/14*b**7 + 0*b - 15/112*b**8 - 30*b**3 + 233/24*b**6. Find j such that k(j) = 0.
-9, 2/3, 1
Let o(h) = -58*h**2 + 46*h + 24. Let p(d) = -d**3 - 63*d**2 + 46*d + 24. Let q(t) = -6*o(t) + 5*p(t). Suppose q(i) = 0. What is i?
-2/5, 3, 4
Let a be 19 - 13 - (0 + -699). Factor -3*o**3 - 348 - 357 + a - 3*o**4.
-3*o**3*(o + 1)
Determine q so that -6 - 2/5*q**2 - 32/5*q = 0.
-15, -1
Suppose 0 = 10*n - 9*n - 10. Suppose 5*x + n = 75. Determine v, given that 4*v**3 + 32 - 11*v**3 - x*v**3 + 7*v**2 - 48*v - 79*v**2 = 0.
-2, 2/5
Let k(x) be the third derivative of x**7/70 - 33*x**6/20 - 3*x**5/20 + 25*x**4 - 66*x**3 + 263*x**2 - 6. Factor k(h).
3*(h - 66)*(h - 1)**2*(h + 2)
Let g(m) be the first derivative of -2*m**5/55 + 152*m**4/11 - 45596*m**3/33 - 46512*m**2/11 - 46818*m/11 - 3348. Suppose g(k) = 0. Calculate k.
-1, 153
Let n be ((-48)/(-21))/(8/84). Let p be (n/(-18))/(4/(-6)). Solve 0 - 1/6*i**4 + 1/2*i**3 + 1/6*i - 1/2*i**p = 0 for i.
0, 1
Let j(f) = 6*f**2 - 11*f + 44. Let d be j(8). Let z be ((-48)/(-10))/(51/d). Let -4*n - z*n**5 + 23*n**3 + 0*n**4 + 8*n**4 - 8*n**2 + 13*n**3 = 0. Calculate n.
-1, -1/4, 0, 1/2, 1
Let p be 7270/975 + 1 + 5. Let w = p + -10/39. What is l in -w*l**3 + 78/5*l - 4/5*l**5 - 36/5 + 6*l**4 + 14/5*l**2 = 0?
-1, 1/2, 2, 3
Let k(t) = -61 - t - 2*t - 25 + 2. Let b be k(-29). Factor 4*v**2 - 4*v**2 + 43*v**b - 48*v**3 - 5*v**4.
-5*v**3*(v + 1)
Let l(w) be the first derivative of -2*w**3/21 - 8*w**2/7 + 66*w/7 + 870. Find g such that l(g) = 0.
-11, 3
Let d be (54/81)/(15/(-36)*12/(-30)). Factor 8/11*o + 24/11*o**2 + 0 + 2/11*o**5 + 12/11*o**d + 26/11*o**3.
2*o*(o + 1)**2*(o + 2)**2/11
Determine n, given that -4632*n + 1531518*n**2 + 256434*n**2 + 1215909 - 1215906 = 0.
1/772
Let l(p) be the first derivative of -4*p**5/5 + 1298*p**4 + 10396*p**3/3 + 2600*p**2 + 6737. Factor l(m).
-4*m*(m - 1300)*(m + 1)**2
Let w be (-14)/(-25)*35 - 2/(-10)*2. Let v = 4 - 2. Factor 4 - w + 12*m**3 + 11*m**2 + 4*m**v + 10 - 21*m.
3*(m - 1)*(m + 2)*(4*m + 1)
Let o be (558 - 558)*((-60)/(-21) + -3). Factor -16/13*z**3 - 36/13*z**2 - 2/13*z**4 + o*z + 54/13.
-2*(z - 1)*(z + 3)**3/13
Let b be 2 - 5 - (6 + -5). Let q be b*3*5/(-15). Suppose -q*x**2 + 14*x**3 + 0*x**2 + 17*x**4 - 2*x**3 - x**4 = 0. What is x?
-1, 0, 1/4
Let p(h) be the third derivative of 31*h**5/20 - 39*h**4/8 - 26*h**3 - h**2 - 34. Let f(r) = -7*r**2 + 9*r + 12. Let t(i) = -27*f(i) - 2*p(i). Factor t(g).
3*(g - 4)*(g + 1)
Let l(f) be the second derivative of f**5/70 + 2*f**4 - 37*f**3/3 + 174*f**2/7 - 16*f + 22. Factor l(a).
2*(a - 2)*(a - 1)*(a + 87)/7
Let d(y) = -241*y + 5063. Let s be d(21). Factor 15/7*z + 3/7*z**s + 0.
3*z*(z + 5)/7
Suppose -2 = -115*w + 117*w. Let a be (w/2)/(2/(64/(-4))). Find f such that 8*f**2 - 16/9 + 7/9*f**a - 40/9*f**3 - 32/9*f = 0.
-2/7, 2
Let n(u) = -50615*u + 50618. Let k be n(1). Factor 6/7*i - 8/7*i**2 + 0 + 2/7*i**k.
2*i*(i - 3)*(i - 1)/7
Let v(z) be the first derivative of 20*z**3/3 - 2114*z**2 + 1688*z - 12549. Find t, given that v(t) = 0.
2/5, 211
Let y(r) = -292*r**4 - 1204*r**3 - 1294*r**2 - 120*r + 3. Let n(p) = -585*p**4 - 2410*p**3 - 2590*p**2 - 240*p + 5. Let g(l) = 3*n(l) - 5*y(l). Factor g(z).
-5*z*(z + 2)**2*(59*z + 6)
Let y(p) = 7*p + 27. Let s be y(-11). Let t = s - -54. Factor 5*b**t - 8*b**3 + 3*b**3 - 5*b**2 + 0*b**3 + 5*b.
5*b*(b - 1)**2*(b + 1)
Factor -1215 + 265*x**2 - 5*x**3 - 277*x**2 - 1213*x**2 - 2435*x.
-5*(x + 1)**2*(x + 243)
Let m be ((-138)/414)/((-18)/8 + 0 + 2). Let k(r) be the first derivative of 1/6*r**4 - m*r**2 - 4/9*r**3 + 28 + 16/3*r. Factor k(j).
2*(j - 2)**2*(j + 2)/3
Let a be (-9)/(-19 - 96/(-6)). Let y(m) be the second derivative of 1/60*m**6 + 0*m**2 - 1/168*m**7 + 1/24*m**a + 29*m - 1/24*m**4 + 0 + 0*m**5. Factor y(s).
-s*(s - 1)**3*(s + 1)/4
Let y(m) = 22*m - 20. Let f be y(1). Suppose -70*t + 32*t - 18 + 12*t**f + 35*t - 3*t**3 = 0. Calculate t.
-1, 2, 3
Let v(z) be the third derivative of -1/4*z**4 + 1/15*z**6 + 0 - 1/168*z**8 - 3*z - 52*z**2 + 0*z**3 + 2/105*z**7 - 1/15*z**5. Let v(c) = 0. What is c?
-1, 0, 1, 3
Let -6300*n**2 - 1247*n**2 - 2563*n**2 - 3377304*n - 5*n**3 - 1733301*n = 0. What is n?
-1011, 0
Let p(j) be the second derivative of j**7/4200 + j**6/1800 - j**5/600 - j**4/120 + j**3/3 - j**2 - 54*j. Let c(l) be the second derivative of p(l). Factor c(r).
(r - 1)*(r + 1)**2/5
Factor 30 - 26 - 14*b**3 + 9*b**2 + 51*b**2 - 104*b + 60 + b**4.
(b - 8)*(b - 2)**3
Let c be (8/5 + -2)/(11/(-55)). Factor 366*b**c + 12*b - 4*b**4 + 10 - 12*b**3 - 2 - 370*b**2.
-4*(b - 1)*(b + 1)**2*(b + 2)
Let v(g) be the first derivative of -2*g**5/5 - 8*g**4 - 28*g**3 - 40*g**2 - 26*g + 2595. Let v(o) = 0. Calculate o.
-13, -1
Suppose 0*a + 4 = 5*w - 2*a, 0 = 5*w + 4*a + 8. Let v(m) be the third derivative of 1/300*m**5 + w + 0*m + 13*m**2 + 1/30*m**3 + 1/60*m**4. Solve v(z) = 0.
-1
Let s be 6/(-4) - 130/(-20). Suppose s*u = -0*u + 3*m + 29, 0 = 5*u + 5*m - 5. Solve 20*z**2 - 130 + 212 - u*z + 4*z**3 - 102 = 0.
-5, -1, 1
Factor 32*w**3 - 31*w**3 - 152*w + 44 - 5*w**3 + 40 + 12 + 60*w**2.
-4*(w - 12)*(w - 2)*(w - 1)
Let t = -1102 + 1078. Let b be 5/4 - t/32. Find g such that -4/3*g**b + 8/3*g + 4 = 0.
-1, 3
Suppose v + 4*n + 12 = -v, -n - 14 = -5*v. Find l such that -6*l**4 + 845*l**3 + 8*l**v + 837*l**3 - 1674*l**3 = 0.
-2/3, 0, 2
Let p(r) be the first derivative of -2*r**5/15 - 4*r**4/3 + 8*r**3/3 + 112*r**2/3 + 256*r/3 - 4903. Find o, given that p(o) = 0.
-8, -2, 4
Let p(k) = -k**3 - 5*k**2 - 91*k - 346. Let l be p(-4). Let s(m) be the first derivative of 10 + 4/3*m**3 - l*m**2 + 0*m. Factor s(z).
4*z*(z - 1)
Solve -41*x - 1088 + 149*x + 2*x**4 - 323 + 372*x**2 - 76*x**3 - 533 + 2*x**4 = 0.
-2, 3, 9
Let u(d) be the second derivative of d**5/50 + 31*d**4/15 - 52*d**3/3 + 264*d**2/5 - 106*d - 4. Let u(v) = 0. Calculate v.
-66, 2
Let r(k) be the first derivative of 5/9*k**6 + 5/6*k**3 + 5/12*k**2 - 17 - 25/24*k**4 + 0*k - 1/2*k**5. Suppose r(h) = 0. What is h?
-1, -1/4, 0, 1
Let f(y) be the first derivative of -y**6/480 - 7*y**5/480 - y**4/48 + 41*y**3/3 + y + 33. Let l(k) be the third derivative of f(k). Factor l(b).
-(b + 2)*(3*b + 1)/4
Suppose -64/7*g**3 + 32*g + 104/7*g**2 + 2/7*g**5 - 10/7*g**4 - 256/7 = 0. What is g?
-4, -2, 1, 2, 8
Let g(w) be the first derivative of 5*w**2 - 15*w + 5/3*w**3 - 33. Factor g(j).
5*(j - 1)*(j + 3)
Suppose 583 + 633 = -212*i + 516*i. Solve -1/5*x**i - 2/5*x + 2/5*x**3 + 1/5 + 0*x**2 = 0 for x.
-1, 1
Let o(h) be the first derivative of 121945*h + 4*h**5 - 1745/4*h**4 - 500395/2*h**2 + 16965*h**3 - 136. Factor o(f).
5*(f - 29)**3*(4*f - 1)
Determine m so that 2/3 + 4/3*m + 1/6*m**3 + 5/6*m**2 = 0.
-2, -1
Suppose 57/4*a**2 + 45/2*a + 0 - 45/4*a**3 - 9/4*a**4 + 3/4*a**5 = 0. Calculate a.
-3, -1, 0, 2, 5
Let o(b) = 2*b**4 + b**3 - b**2 - 1. Let c(a) = 27*a**4 + 2*a**3 - 15*a**2 + 10*a - 12. Let n(f) = c(f) - 12*o(f). Suppose n(v) = 0. What is v?
-1, 0, 1, 10/3
Suppose 223 = 4*n + 3*f - 2597, -1384 = -2*n + 5*f. Suppose 0 = 5*x - n + 692. Factor -x*q**3 - 2/5*q**4 - 6/5*q**2 + 0 + 18/5*q.
-2*q*(q - 1)*(q + 3)**2/5
Let a be ((-78)/416)/((-3)/24). Let 0*b + a*b**4 + 0*b**2 + 0 - 3/2*b**3 = 0. What is b?
0, 1
Let y(z) be the third derivative of z**7/1470 + z**6/140 + 3*z**5/140 + z**4/42 + 2*z**2 + 329. Factor y(w).
w*(w + 1)**2*(w + 4)/7
Let b(f) = 24*f**3 - 252*f**2 - 447*f - 9. Let o(h) = 5*h**3 - 63*h**2 - 112*h - 2. Let d(a) = -2*b(a) + 9*o(a). Find u, given that d(u) = 0.
-19, -2, 0
Let g be (351/(-6))/9*24. Let i = 160 + g. Factor l**5 - 7/4*l**3 - 1/2*l**2 + 0*l - l**i + 0.
l**2*(l - 2)*(2*l + 1)**2/4
Let j(p) be the first derivative of p**6/24 + 41*p**5/5 + 81*p**4/4 - p**3/6 - 325*p**2/8 - 81*p/2 - 292. Let j(r) = 0. What is r?
-162, -1, 1
Let f(v) = v**2. Let z(x) = x**3 - x**2 + 4*x. Let o be z(2). Let l(q) = -4*q**3 + 12*q**2 + 4*q. Let s(w) = o*f(w) - l(w). Factor s(r).
4*r*(r - 1)*(r + 1)
Let w(d) be the second derivative of -d**6/90 - 12*d**5/5 - 216*d**4 + 23*d**3/6 - d**2 + 27*d. Let v(f) be the second derivative of w(f). F