142/15*o**2 + 490/3 + 518/3*o + 2/15*o**g.
2*(o + 1)*(o + 35)**2/15
Let h be ((-67530)/5)/(-6)*2/1. Suppose 4502 - h - 18*w - 2*w**2 + 18*w**3 + 2*w**4 = 0. Calculate w.
-9, -1, 0, 1
Suppose -5*u + 19 = -14*x + 13*x, -2*x + 10 = 2*u. Let g(c) be the first derivative of -3 + 96/5*c**2 + 8/5*c**3 + 512/5*c + 1/20*c**u. Factor g(k).
(k + 8)**3/5
Let m(n) be the second derivative of -n**4/8 - 433*n**3/2 - 562467*n**2/4 + 1228*n. Solve m(y) = 0.
-433
Let w = 1657 + -1550. Suppose -5*r = -5*f - 2*r, 2*r - 7 = f. Solve -y**3 - 53 + f*y - 56 + w = 0 for y.
-2, 1
Find v, given that 33/2*v**2 + 51/2*v**3 + 0*v + 0 + 9/8*v**4 = 0.
-22, -2/3, 0
Factor 0 - 6/5*t - 94/5*t**2.
-2*t*(47*t + 3)/5
Let w(g) = g**2 - 14*g - 16. Let t be w(15). Let o be t/(-3) + (65/6 - 11). Determine n so that 2/3*n**3 - o*n**4 + 0 - 5/6*n**2 + 1/3*n = 0.
0, 1, 2
Let f = 631345 + -631343. Suppose l - 3*l + 8 = 0. Factor -1/6*j**f + l*j - 24.
-(j - 12)**2/6
Let p be -1 + 1147/1221 + 6/99. Factor 2*v - 2/3*v**2 + p.
-2*v*(v - 3)/3
Let r(z) be the first derivative of 4*z**2 + 152 + 0*z - 2/3*z**3. Factor r(i).
-2*i*(i - 4)
Suppose -5*u = -45, u + 3*u = r - 49 + 83. Let b be ((-2)/4)/((-10)/4). Find t, given that -6/5 - 1/5*t + b*t**r = 0.
-2, 3
Let j(i) = -i**3 - i**2 - i. Let b be ((-15)/(-9) - 1)*-3. Let y(u) = 5*u**3 - 33*u**2 + 195*u - 256. Let o(r) = b*y(r) - 6*j(r). Factor o(d).
-4*(d - 8)**2*(d - 2)
Suppose 0*n - 4*d = -n + 20, -4*n + 2*d + 24 = 0. Let w(g) be the first derivative of -23*g - 3 + g**n + 23*g - 1 + 8*g**3. Solve w(t) = 0 for t.
-6, 0
Let t(p) = -2*p**2 + 234*p - 400. Let a(w) = w + 4. Let h(m) = -10*a(m) + t(m). What is b in h(b) = 0?
2, 110
What is q in 9*q**3 - 103*q + 6*q**3 - 7*q + 18*q**2 + 23*q - 11 - 7 = 0?
-3, -1/5, 2
Let j be 4/(-14) + (1044/126 - (10 + -2)). Let x(t) be the third derivative of -5*t**3 + 19*t**2 + 0*t - 5/24*t**4 + 1/12*t**5 + j. Factor x(m).
5*(m - 3)*(m + 2)
Suppose -118*z + 101*z = -663. Suppose -z = 4*a - 3*i - 61, 0 = -4*a - 3*i + 10. Factor 0*k + 0 - 4/5*k**3 + 6/5*k**a + 0*k**2 - 2/5*k**5.
-2*k**3*(k - 2)*(k - 1)/5
Let u = 227/1364 + 1/4092. Let v(p) be the second derivative of -20*p + 3/2*p**2 + 1/42*p**7 + u*p**3 + 1/10*p**6 + 0 - 1/10*p**5 - 1/2*p**4. Factor v(l).
(l - 1)**2*(l + 1)**2*(l + 3)
Suppose 5*f + 50 = 5*i, -113 = -3*i + 2*f - 91. Suppose 4*w + 1 - 49 = 0. Factor 15*p**i - w*p + 12/5.
3*(5*p - 2)**2/5
Let m = 28 - 50. Let c(t) = t + 1. Let d(y) = -y**2 - 11*y - 11. Let b be (-231)/33 - (-6 + 1). Let j(a) = b*d(a) + m*c(a). Factor j(s).
2*s**2
Let t(s) be the first derivative of -2*s**3/9 - 568*s**2 - 483936*s + 252. Factor t(a).
-2*(a + 852)**2/3
Factor 5*d**4 + 2*d**4 + 2832*d**2 - 6*d**3 + 50176 - 170*d**3 - 2*d**4 - d**4 - 19712*d.
4*(d - 14)**2*(d - 8)**2
Let l(w) = w**2 + 14*w + 3. Let j be l(-14). Factor o**3 - 8*o**2 + o**j + 4*o**2 - 6*o**2.
2*o**2*(o - 5)
Let g(a) = a - 1. Let j(x) = 4*x**2 - 712*x - 167. Let m(k) = 18*g(k) + 2*j(k). Determine p so that m(p) = 0.
-1/4, 176
Let t = 949 + -914. Factor -t*r - 25/4*r**3 + 10 + 55/2*r**2.
-5*(r - 2)**2*(5*r - 2)/4
Suppose 93*j + 20*j**2 + 43*j - 3*j**2 - 112 - 12*j**2 = 0. Calculate j.
-28, 4/5
Let n(i) be the first derivative of 210*i - 425/2*i**2 + 220/3*i**3 - 191 - 5/4*i**4. Factor n(v).
-5*(v - 42)*(v - 1)**2
Let s be (-55)/(-33)*18/10. Factor 3034*d + 3015*d - 6022*d + s*d**2.
3*d*(d + 9)
Let c be 90/(-540)*(-46 - -34). Find h such that 5/2*h + 40/3*h**c + 0 + 10/3*h**4 + 85/6*h**3 = 0.
-3, -1, -1/4, 0
Determine o, given that -1/2*o**4 + 184 + 272*o + 20*o**3 + 132*o**2 = 0.
-2, 46
Suppose -2222*b - 41913 = -49419 - 170254. Factor 0 + 92/3*l**4 + b*l**3 + 8/3*l**5 + 0*l - 48*l**2.
4*l**2*(l + 6)**2*(2*l - 1)/3
Let g(d) be the third derivative of 20*d**3 - 5/6*d**4 + 0*d + 0 + 1/24*d**6 + 11*d**2 - 1/2*d**5. Let g(r) = 0. What is r?
-2, 2, 6
Suppose -29*a + 440 - 360 = 11*a. Determine q so that -8/3 - 3*q - 1/3*q**a = 0.
-8, -1
Determine y, given that 2124*y**2 + 2456*y - 16648*y**2 + 17140819*y**3 - 17129521*y**3 + 882*y**4 - 112 = 0.
-14, 2/21, 1
Find l such that 0 - 4/3*l**4 + 29/3*l**3 + 2*l - 31/3*l**2 = 0.
0, 1/4, 1, 6
Let x(s) = -4*s**4 - 6*s**3 - s**2 + 25*s - 55. Let h(k) = -3*k**4 - 6*k**3 - k**2 + 26*k - 44. Let b(c) = -5*h(c) + 4*x(c). Let b(j) = 0. What is j?
-2, 0, 3, 5
Let o(u) be the third derivative of u**8/120 - 271*u**7/1575 + 83*u**6/180 + 7*u**5/10 - 109*u**4/45 - 44*u**3/45 + 206*u**2 - 19. Solve o(p) = 0 for p.
-1, -2/21, 1, 2, 11
Let d = 111187 + -111185. Factor -8 - 44/5*s - 4/5*s**d.
-4*(s + 1)*(s + 10)/5
Let z(u) be the third derivative of -1/3*u**3 + 529/60*u**6 + 0*u + 0 - 161/10*u**5 + 162*u**2 - 15/4*u**4. Suppose z(f) = 0. Calculate f.
-1/23, 1
Suppose 238*k = 223*k + 495. Factor -20*m**2 + 2*m**3 + 103 - k*m - m**3 + 139 - 44*m - 2*m**3.
-(m - 2)*(m + 11)**2
Let p = 675 - 22959/34. Let j = 95/102 + p. Let -6*r**3 + 32/3*r + j*r**5 + 2/3*r**4 - 10/3*r**2 + 8 = 0. What is r?
-3, -1, 2
Factor 799*d - 49*d**2 - 3963 - 3065 + 2693 + d**3.
(d - 17)**2*(d - 15)
Let -115200*h**3 + 3793487*h**2 - 90720000*h + 88907*h**2 + 1230*h**4 - 5*h**5 + 1085606*h**2 + 388800000 = 0. Calculate h.
6, 60
Let i(w) be the second derivative of 0*w**2 + 1/8*w**4 + 256*w - 1/6*w**3 - 1/40*w**5 + 0. Solve i(g) = 0 for g.
0, 1, 2
Let w(k) = 2*k + 5. Let b be w(2). Suppose 15 = b*x - 3. What is n in 0*n - 4 + 2*n - x*n**3 + 4*n = 0?
-2, 1
Suppose -3*m - c + 11 - 29 = 0, m - 3*c + 16 = 0. Let q be (-67 + 88)*m/(-6). Suppose -1/2*v**2 - q - 7*v = 0. What is v?
-7
Let m = -160872 + 160874. Determine w so that m*w**3 - 8/17*w**4 + 0 + 32/17*w**2 - 10/17*w = 0.
-1, 0, 1/4, 5
Find k, given that -321*k**4 + 92*k**5 + 447*k**4 + 56 + 532*k**2 - 242*k**4 - 252*k**3 - 304*k - 8 = 0.
-2, 6/23, 1
Suppose -30*q + 33*q = 3171. Let g = 1057 - q. What is c in 0*c**2 + 4/13*c**3 - 2/13*c**5 + g*c**4 + 0 - 2/13*c = 0?
-1, 0, 1
Let w(o) be the second derivative of 0*o**2 + 0 + 7/60*o**4 - 41*o - 4/15*o**3 + 1/100*o**5. Factor w(r).
r*(r - 1)*(r + 8)/5
Let p(d) = -58*d**2 - 116*d - 122. Let x(w) = 9*w**2 + 18*w + 19. Let k(n) = 5*p(n) + 32*x(n). Let k(s) = 0. What is s?
-1
Let c(g) be the first derivative of -7*g**6/30 - 177*g**5/25 + 727*g**4/20 - 779*g**3/15 + 12*g**2 + 116*g/5 - 1770. Determine b so that c(b) = 0.
-29, -2/7, 1, 2
Let y(j) = j**2 - 19*j - 40. Let v be y(21). Let f(s) be the first derivative of s**v + 1/4*s**4 + 10 + 0*s + s**3. Determine q so that f(q) = 0.
-2, -1, 0
Let q(o) = -6*o + 194. Let t be q(31). Let i(b) = -b**2 + 10*b - 12. Let r be i(t). Factor 68/5*p + 35*p**3 + 49/5*p**r + 186/5*p**2 + 8/5.
(p + 1)*(p + 2)*(7*p + 2)**2/5
Let l(a) be the second derivative of -3*a**5/20 + 11*a**4/8 + 3*a**3/2 - 1251*a - 2. Determine f, given that l(f) = 0.
-1/2, 0, 6
Let -1754/7*k**2 - 15/7*k**4 + 49*k**3 - 288/7 - 2400/7*k = 0. What is k?
-1, -2/15, 12
Suppose -2*i = -3*q + 9, -1119*q = -1122*q + 9. Factor -57/2*d**2 + i + 14*d**3 - 2*d**4 + 18*d.
-d*(d - 4)*(2*d - 3)**2/2
Let 2556*r - 531*r**2 + 334*r**4 - 1888*r + 6*r**3 - r**5 - r**5 - 475*r**2 = 0. Calculate r.
-2, 0, 1, 167
Suppose -27*p + 8*p = 0. Suppose v + 0*k = -3*k - 6, 4*v + 2*k - 6 = p. Suppose -2/7*g**4 - 48/7*g**2 - 20/7*g**v - 2 - 44/7*g = 0. Calculate g.
-7, -1
Let s(u) = -6*u**3 - 2*u. Let l be s(-2). Suppose -29*i - l = -33*i. Factor i*m + 0*m**2 + 12*m**2 + 4 - m**2 - 2.
(m + 1)*(11*m + 2)
Let i(v) be the first derivative of -5*v**4/4 - 2530*v**3 - 2701. Factor i(l).
-5*l**2*(l + 1518)
Suppose -a + 11 = -3*x, -3*a + 9 = -4*x - 9. Factor -39*n + 6268*n**2 - 3 - 6286*n**a - 3.
-3*(n + 2)*(6*n + 1)
Factor 3321 - 146*o**2 - 3152 - 170*o + 147*o**2.
(o - 169)*(o - 1)
Let n(f) be the third derivative of 0*f + 1/3*f**3 - 5/24*f**4 + 1/120*f**6 + 3 - 2*f**2 - 1/210*f**7 + 1/20*f**5. Determine o, given that n(o) = 0.
-2, 1
Let q(u) be the first derivative of u**3/18 + 195*u**2/2 + 114075*u/2 + 1913. Factor q(h).
(h + 585)**2/6
Let y(f) = -365*f - 1823. Let x be y(-5). Suppose -13 + 1 = -3*h. Solve -4*r**3 + 29*r**x + 4*r**5 - 57*r**2 + 16 + 0*r**3 + 12*r**h = 0 for r.
-2, -1, 1
Let k(z) be the second derivative of z**5/10 - 7*z**4/6 - 49*z**3/3 + 343*z**2 + 373*z + 2. Factor k(q).
2*(q - 7)**2*(q + 7)
Let p(u) = -2*u**3 - 30*u**2 + 65*u + 9. Let o be p(2). Find q, given that 24/7*q + 0 - 4/7*q*