 - 1/30*v**6 + 0*v**5 + 2*v + i*v**3 + 0. Let d(o) = 0. What is o?
0
Suppose -8*s - 93 - 195 = 0. Let j = s + 38. Find i, given that 2*i + 0*i - 4*i - 2*i + 2*i**j = 0.
0, 2
Let h = -71209 - -71213. Factor 0*o - 1/8*o**h - o**3 + 9/8*o**2 + 0.
-o**2*(o - 1)*(o + 9)/8
Let 1077*n**2 + 550*n**2 + 5*n**3 - 899*n**2 + 850*n + 127*n**2 = 0. Calculate n.
-170, -1, 0
Let k be 136/595*35/14. Suppose 14 = -7*t + 14*t. Let 2/7*r**t - k*r + 0 = 0. Calculate r.
0, 2
Let p(f) be the third derivative of -f**7/105 - f**6/15 + 9*f**5/10 - 19*f**4/6 + 16*f**3/3 + 88*f**2 - 9*f + 1. Determine b so that p(b) = 0.
-8, 1, 2
Factor 2/11*v**2 + 6652/11*v + 5531138/11.
2*(v + 1663)**2/11
Let z = 962246/3 - 320734. Let 6*w**4 - 16/3*w + z*w**3 - 8/3*w**2 - 6*w**5 + 0 = 0. Calculate w.
-1, -2/3, 0, 2/3, 2
Let u be 3/(-2)*(-280)/42. Solve 31*j**3 - 8*j**2 - 2*j**4 - j**3 - 10*j**3 - u*j**3 = 0.
0, 1, 4
Let i(d) = -d**3 + d**2 + 6. Let p(v) = -2*v**3 + 67*v**2 - 129*v + 70. Let f(m) = 5*i(m) - 5*p(m). Let f(t) = 0. Calculate t.
1, 64
Let l(v) = -1962*v - 27466. Let b be l(-14). Determine o so that -15/4*o**3 + 0 - 7/4*o**4 + 0*o - 1/4*o**5 - 9/4*o**b = 0.
-3, -1, 0
Suppose 7387*a - 286 = 3666*a + 3620*a - 84. Factor 8*p**3 + 26/3*p**a - 8*p - 1/3*p**4 - 25/3.
-(p - 25)*(p - 1)*(p + 1)**2/3
Let h be (-148)/(-12) + -14 - 5/9. Let y = -16/9 - h. Solve y*t**2 - 2/9*t + 0 - 2/9*t**3 = 0 for t.
0, 1
Let l = 1292 + -1296. Let b be (36/8 + -13)*l/3. Determine h, given that -20/3*h - 2*h**3 + 0 + b*h**2 = 0.
0, 2/3, 5
Factor -172/19*a**2 + 0 - 6/19*a**3 - 112/19*a.
-2*a*(a + 28)*(3*a + 2)/19
Let l(h) be the third derivative of 25/18*h**4 + 625/9*h**3 + 0 - 129*h**2 + 0*h + 1/90*h**5. Find r, given that l(r) = 0.
-25
Suppose -4*i + 68 = 4*f, -3*f + 16 = -7*f. Let b(p) = 159 - i*p - 16 + 3*p**2 - 21*p. Let h(u) = -3*u**2 + 42*u - 144. Let n(a) = -3*b(a) - 4*h(a). Factor n(x).
3*(x - 7)**2
Let z(l) be the first derivative of 4/3*l**3 + 10000*l + 200*l**2 - 54. Factor z(b).
4*(b + 50)**2
Suppose 2*u - g + 26 = 0, 16*u - 12*u - g + 50 = 0. Let t be (-28)/u - 6/(-9). Suppose -2/5*q**t - q**5 + 7/5*q + 2*q**2 + 1/5 - 11/5*q**4 = 0. What is q?
-1, -1/5, 1
Let u(w) = 7*w**2 + 2*w + 5 + 3*w**3 + 388*w**4 - 193*w**4 - 192*w**4. Let n(z) = 2*z**4 + 2*z**3 + 4*z**2 + z + 3. Let r(v) = -5*n(v) + 3*u(v). Factor r(x).
-x*(x - 1)*(x + 1)**2
Solve 5/6*o**3 + 175 - 2095/6*o + 520/3*o**2 = 0 for o.
-210, 1
Find u, given that -64/3 + 8/9*u + 2/9*u**2 = 0.
-12, 8
Let c(j) = 5*j**2 + 20*j + 9. Let z be c(-9). Let g = 237 - z. What is k in -2/5*k**g + 2/15 - 2/15*k**2 + 2/5*k = 0?
-1, -1/3, 1
Let c(z) be the first derivative of 1/4*z**4 + 9*z - 1/20*z**5 - 1/2*z**3 + 9 + 1/2*z**2. Let f(i) be the first derivative of c(i). Factor f(t).
-(t - 1)**3
Suppose 188/9*l + 22/9*l**4 - 14/3*l**3 - 2/9*l**5 - 32/3 - 70/9*l**2 = 0. Calculate l.
-2, 1, 3, 8
Let n be (5 - (-5)/(-5))*615/20. Let v = n - 120. Factor -4/9 + 4/9*m - 1/9*m**v + 1/9*m**2.
-(m - 2)*(m - 1)*(m + 2)/9
Let g be (-6)/(-3)*(-45)/18. Let p(k) = -k**3 + 2*k**2 - 7*k - 5. Let c(b) = -8*b - 4. Let a(h) = g*c(h) + 4*p(h). Factor a(w).
-4*w*(w - 3)*(w + 1)
Factor 0 - 40*j**3 + 4/3*j**4 + 364*j**2 - 2704/3*j.
4*j*(j - 13)**2*(j - 4)/3
Factor 2208/7*q + 609408/7 + 2/7*q**2.
2*(q + 552)**2/7
Let d(q) be the first derivative of 0*q + 9/16*q**4 + 3/4*q**2 - 58 - 3/20*q**5 + 5/4*q**3 - 1/8*q**6. Suppose d(g) = 0. Calculate g.
-1, 0, 2
Let v(j) be the second derivative of 92*j + 2/35*j**5 - 3/14*j**4 + 5/21*j**3 + 0 + 0*j**2. Determine l so that v(l) = 0.
0, 1, 5/4
Let n(q) be the third derivative of 13/12*q**4 - 169/6*q**3 - 1/60*q**5 + 0 - 25*q**2 + 0*q. Suppose n(s) = 0. Calculate s.
13
Let l(m) be the second derivative of -m**4/72 - 509*m**3/18 - 259081*m**2/12 + 1488*m. Determine x, given that l(x) = 0.
-509
Let x be (3276/(-1656) + 2)*138. Factor -44/7*p**2 + 26/7*p - 2*p**4 - 6/7 + 2/7*p**5 + 36/7*p**x.
2*(p - 3)*(p - 1)**4/7
Let n = 770 - 763. Suppose -4*z - 5*m = n, 3*m + 18 = 5*z - 1. Factor 2/9*a**3 + 2/9*a**4 - 8/9*a + 0 - 8/9*a**z.
2*a*(a - 2)*(a + 1)*(a + 2)/9
Let y(d) = 20*d**3 - 3333*d**2 - 3200*d - 85. Let j(z) = -7*z**3 + 1113*z**2 + 1066*z + 30. Let b(p) = -17*j(p) - 6*y(p). Factor b(f).
-f*(f - 1078)*(f + 1)
Let l(s) be the first derivative of s**4/16 - 135*s**3/4 + 1599*s**2/8 + 2005*s/4 + 3077. Factor l(p).
(p - 401)*(p - 5)*(p + 1)/4
Suppose 15*f + 6 = 18*f. Suppose 13 = 5*k - f. Factor h - 16*h**2 + 32*h**k + 16 - 36*h**3 + 3*h.
-4*(h - 1)*(h + 1)*(h + 4)
Let y(x) be the third derivative of x**5/20 - 105*x**4 + 88200*x**3 - 679*x**2. Let y(h) = 0. Calculate h.
420
Let s(f) be the second derivative of -f**5/10 - 25*f**4/6 - 47*f**3/3 - 23*f**2 + 159*f + 2. Determine l, given that s(l) = 0.
-23, -1
Factor -643 + 124*i**3 - 1908*i**2 + 16*i**4 + 64*i**3 - 7100*i - 20*i**4 - 4357.
-4*(i - 25)**2*(i + 1)*(i + 2)
Find j, given that 155/2*j**2 - 635/4*j + 5/4*j**3 + 80 = 0.
-64, 1
Let i(k) be the second derivative of k**6/135 + k**5/30 - k**4/9 - 8*k**3/27 + 659*k. Factor i(m).
2*m*(m - 2)*(m + 1)*(m + 4)/9
Let d(j) = -j**2 + 177*j - 172. Let o(s) = -18*s**2 + 2838*s - 2754. Let u(a) = 33*d(a) - 2*o(a). Suppose u(l) = 0. Calculate l.
-56, 1
Let o(l) be the second derivative of 4*l**6/15 - 167*l**5 + 139*l**4 - l - 1291. Factor o(j).
4*j**2*(j - 417)*(2*j - 1)
Suppose 2*t + 2*t - 8 = 0. Let f(z) = 6*z**3 - 5*z**2 - 2*z + 9. Let v(c) = -c**3 + c. Let d(x) = t*f(x) + 10*v(x). Factor d(h).
2*(h - 3)**2*(h + 1)
Let z(j) be the first derivative of -j**7/105 + j**6/10 - j**5/6 - 47*j**2 + 87. Let g(d) be the second derivative of z(d). Solve g(a) = 0 for a.
0, 1, 5
Let s = 11/3 - -7. Let b = 810 - 808. Factor -4*p**b - s*p - 16/3.
-4*(p + 2)*(3*p + 2)/3
Let m(w) = -12*w - 778. Let u = -111 - -46. Let g be m(u). Find p such that 2/3*p**5 + 0*p**g + 0*p + 0*p**3 + 0 - 2/3*p**4 = 0.
0, 1
Let -71/5*n + 1/5*n**2 + 14 = 0. Calculate n.
1, 70
Let j(y) = y**3 - y**2 - y - 1. Let k(v) = -6*v**3 + 33*v**2 + 66*v + 45. Suppose -25 = -14*o - 11. Let n(a) = o*k(a) + 9*j(a). Let n(x) = 0. What is x?
-4, -3, -1
Factor -3911*j**2 - 5265*j**2 + 1168410*j - 517*j**3 + 535*j**3 + 342520 - 82420.
2*(j - 255)**2*(9*j + 2)
Let k(v) = 3*v - 86. Let a be k(31). Let c be (10/(-30))/(a/4 - 2). Factor 2/3*x**2 + 0*x + c*x**3 + 0.
2*x**2*(2*x + 1)/3
Let w(n) = 13*n**2 - 21*n - 101. Let r be w(-6). Find s such that -181 + 0*s**2 - s**2 + r*s - 561*s - 196 - 779 = 0.
-34
Factor -968/3*l**2 - 98/3 + 616/3*l.
-2*(22*l - 7)**2/3
Let q be 10/2*60/21 - (482 + -468). Factor -18/7*o**2 + 0 + 36/7*o - 16/7*o**3 - q*o**4.
-2*o*(o - 1)*(o + 3)*(o + 6)/7
Factor 7428*p**2 - 3*p**4 + 6950*p**2 - 66398*p**2 - 10*p**4 - 1020*p**3 + 8*p**4.
-5*p**2*(p + 102)**2
Suppose 0*i = 2*i - 1028 + 998. Let r(s) be the first derivative of -2*s - 1/3*s**3 - 3/2*s**2 + i. Let r(l) = 0. Calculate l.
-2, -1
Suppose 0 = -196*x + 199*x - 1128. Let j = x - 1495/4. Factor -j*c - 3/4 + 3*c**2.
3*(c - 1)*(4*c + 1)/4
Let i(r) = 2*r + 47. Suppose -4*p + 43 = 119. Let v be i(p). Find w, given that -v*w - 27*w**2 - 3/4 = 0.
-1/6
Let u(f) = -f**2 - 4*f + 2. Let o(p) = -5*p**3 + 2*p - 1. Let d be o(1). Let x be u(d). Factor 11 + 3*l + 6*l**x - 6*l**4 - 3*l**3 - 11 + 0*l**3.
-3*l*(l - 1)*(l + 1)*(2*l + 1)
Let q = 223/996 + -35/249. Let r(a) be the third derivative of 0*a + 1/30*a**5 + 0*a**3 + q*a**4 - 5*a**2 + 0. Factor r(g).
2*g*(g + 1)
Let w be (-1462)/(-6936) + 1 + 98/(-102). Find q, given that q**2 + 0*q**3 + 0*q - 3/4*q**4 - w*q**5 + 0 = 0.
-2, 0, 1
Let m(q) = -9*q**2 - 3803*q - 1801069. Let h(j) = -8*j**2 - 3802*j - 1801088. Let b(o) = 7*h(o) - 6*m(o). Find x such that b(x) = 0.
-949
Let g(i) = 6*i**3 + 18*i**2 - 10*i - 44. Let x(q) = 2*q**3 + 6*q**2 - 3*q - 14. Suppose -22*l - 67 = 43. Let z(w) = l*g(w) + 14*x(w). Factor z(t).
-2*(t - 2)*(t + 2)*(t + 3)
Let t(g) be the first derivative of -g**3/4 - 165*g**2/4 - 3267*g/4 - 624. Factor t(a).
-3*(a + 11)*(a + 99)/4
Let s be 24/(-27) - 22484/(-22176). Factor 0 - 6*c**2 - 512*c**4 + 96*c**3 + s*c.
-c*(16*c - 1)**3/8
Let v(w) be the first derivative of -w**5/100 - w**4/60 + 2*w**3/15 + 2*w**2/5 - 229*w - 309. Let u(j) be the first derivative of v(j). Factor u(l).
-(l - 2)*(l + 1)*(l + 2)/5
Let g = -118291/24 + 4929. Let v(o) be the third derivative of 0*o + 0 + o**3