2139.
4*(j + 1)*(j + 29)**2
Suppose 4*b = 5*w + 8, 4*w - 6*w + 2*b = 4. Let a(x) be the third derivative of -15 + w*x**3 - 2*x**2 + 0*x + 1/30*x**5 + 0*x**4. Factor a(o).
2*o**2
Suppose -5671*z = -5407*z. What is i in z - 2/21*i**3 - 4/21*i**2 + 2/7*i = 0?
-3, 0, 1
Let m(a) = -2*a**3 - 3*a - 3. Let q be m(-1). Factor -232*g + 7*g**2 + 5*g**2 - 336*g + 8*g**q + 224.
4*(g - 28)*(5*g - 2)
Suppose -r + 5*a - 117 = 0, 4*a = -10 + 30. Let b be (-1)/((-69)/r*(-68)/6). Let b*k**2 - 2/17 + 0*k = 0. Calculate k.
-1, 1
Factor 1252*x**2 - 56*x + 860*x**3 - 11 - 858*x**3 - 1266*x**2 - 29.
2*(x - 10)*(x + 1)*(x + 2)
Let a(g) be the first derivative of 5*g**4/4 + 115*g**3/3 - 825*g**2 - 5094. Suppose a(b) = 0. Calculate b.
-33, 0, 10
Let z be 6 + -17 + 6 + 8. Let u(j) be the second derivative of -8/9*j**z - 14*j + 0 + 4/9*j**4 + 2/3*j**2. Factor u(n).
4*(2*n - 1)**2/3
Let v(a) = -2*a**2 + 17*a + 57. Let p be v(11). Factor -6757*u**2 + 2552*u**p - 3*u**4 + 2*u**3 - 2*u**4 + 288*u**3.
-5*u**2*(u - 29)**2
Let s(d) = 9*d**2 - 28*d - 30. Let u be s(4). Let p(q) be the third derivative of -27*q**u + 1/12*q**4 + 0*q - 1/3*q**3 - 1/120*q**5 + 0. Factor p(f).
-(f - 2)**2/2
Factor -42/17*z + 2/17*z**2 - 44/17.
2*(z - 22)*(z + 1)/17
Determine i so that -1230/13*i + 2/13*i**2 - 2468/13 = 0.
-2, 617
Suppose -4*h - q + 47 = 0, -2*h - 5*q - 40 = -7*h. Factor 12*z**2 + h*z**3 - 8*z**3 + 15*z**2.
3*z**2*(z + 9)
Let j(m) = m**4 + 14*m**3 + 27*m**2 - 4*m - 38. Let d(b) = -b**3 + 1. Let c = 179 + -177. Let v(w) = c*j(w) + 4*d(w). Factor v(o).
2*(o - 1)*(o + 2)**2*(o + 9)
Suppose 312/5 - 66/5*d - 3/5*d**2 = 0. Calculate d.
-26, 4
Let q = -158 - -160. Suppose y - 4*n - 575 + 553 = 0, -5*y - 3*n = 5. Determine i so that 6 + q*i**3 - 2*i - 1/6*i**4 - 35/6*i**y = 0.
-1, 1, 6
Let o(p) be the first derivative of -p**6/40 - 11*p**5/20 - 39*p**4/8 - 45*p**3/2 - p**2 - 69*p - 73. Let m(c) be the second derivative of o(c). Factor m(v).
-3*(v + 3)**2*(v + 5)
Let c = -162127 + 162130. Let -3/2*x**2 + 0 + 0*x + 7/4*x**c - 1/4*x**5 + 0*x**4 = 0. What is x?
-3, 0, 1, 2
Let v = -9128 - -9131. Let a(q) be the third derivative of 0 + 1/105*q**7 + 5*q**2 - 1/60*q**6 + 0*q**4 + 0*q**5 + 0*q + 0*q**v. Suppose a(o) = 0. What is o?
0, 1
Suppose 690 = -8*t + 11*t. Suppose t*l - 231*l = 0. Find x such that -56/13*x**2 + 8/13*x + l + 62/13*x**3 + 126/13*x**4 = 0.
-1, 0, 2/9, 2/7
Suppose v - 124 = -3*q - q, -5*q + 257 = 2*v. Let u = v - 134. Determine m, given that 4/5*m**3 + 0 + 4/5*m**4 + 0*m + 0*m**u = 0.
-1, 0
Let a(j) be the first derivative of -1/15*j**2 + 28/5*j - 225 - 2/45*j**3. Find s such that a(s) = 0.
-7, 6
Find r, given that 28*r + 46/5*r**2 + 6/5 = 0.
-3, -1/23
Let g(z) be the first derivative of z**7/1680 - z**6/720 - z**5/48 - z**4/16 + 94*z**3/3 - 128. Let h(n) be the third derivative of g(n). Factor h(w).
(w - 3)*(w + 1)**2/2
Let s = -48 - -26. Let x = 23 + s. Factor 8*q**3 - 4*q**4 + x + 646*q**2 - 650*q**2 - 1.
-4*q**2*(q - 1)**2
Let p(k) be the first derivative of -32/3*k**3 - 105 + 42*k**2 - 72*k + k**4. Factor p(s).
4*(s - 3)**2*(s - 2)
Let s be (35/20)/(-7)*(-2 + -10). Solve 44*a**2 + 75*a + 25*a**3 + a**2 - 20*a**s - 125 = 0 for a.
-5, 1
Let m(i) = 4*i - i**3 - 18*i**2 + 4 + 3*i**2 + 10*i**2. Let n(j) = -2*j - 9*j**2 + 11*j - 15*j**3 + 12*j**3 + 8 + 1. Let s(d) = -9*m(d) + 4*n(d). Factor s(k).
-3*k**2*(k - 3)
Let k(h) be the third derivative of h**5/270 - 107*h**4/3 + 137388*h**3 + 9816*h**2. Factor k(b).
2*(b - 1926)**2/9
Suppose -2/7*g**2 + 170/7 + 24/7*g = 0. Calculate g.
-5, 17
Factor 43/2 + 1/4*z - 43/2*z**2 - 1/4*z**3.
-(z - 1)*(z + 1)*(z + 86)/4
Let j(d) = -d**3 - 153*d**2 - 5642*d + 3. Let h be j(-91). Suppose -3/7*x**h - 63 - 51/7*x**2 - 39*x = 0. Calculate x.
-7, -3
Let -78336/7 - 40/7*s**2 - 768*s + 2/7*s**3 = 0. What is s?
-24, 68
Let r(b) be the second derivative of -b**7/21 + 2*b**6 - 111*b**5/5 - 46*b**4/3 + 245*b**3 - 450*b**2 - 52*b - 21. What is j in r(j) = 0?
-2, 1, 15
Let p be 3544/168 - (-6)/(-63). Solve -3*a**5 + 35*a**3 + 18*a - 24*a**3 - 26*a**3 - p*a**2 + 2*a**4 + 19*a**4 = 0 for a.
-1, 0, 1, 6
Suppose 42016/7*v**3 + 0 + 0*v - 129792/7*v**2 + 59*v**4 + 1/7*v**5 = 0. Calculate v.
-208, 0, 3
Suppose -40*y = -98*y + 116. Let u(m) be the first derivative of 0*m - 4*m**3 - 4*m**y + 28 + 4/5*m**5 + 0*m**4. Factor u(r).
4*r*(r - 2)*(r + 1)**2
Suppose -38*m = -37 + 12 - 89. Factor -1/6*d**5 + 13/6*d**4 - 23/6*d**m + 11/6*d**2 + 0 + 0*d.
-d**2*(d - 11)*(d - 1)**2/6
Let c(p) = 5*p**3 - 4*p**2 + 29*p + 42. Let m(r) = -22*r**3 + 18*r**2 - 116*r - 168. Let k(a) = 26*c(a) + 6*m(a). Factor k(b).
-2*(b - 7)*(b + 2)*(b + 3)
Suppose 0 = 4*g - 3*o - 140, -3*g = -4*g - o + 28. Suppose -7*w + 9*w - 16 = 0. Factor 31 - 106 - i**2 + 27 + w*i + g.
-(i - 4)**2
Let g(r) be the first derivative of r**5/210 + r**4/12 + 2*r**3/7 - r**2/2 - 23*r + 9. Let x(k) be the second derivative of g(k). Let x(d) = 0. Calculate d.
-6, -1
Determine i, given that -62*i**4 + 22*i**4 + 19*i**3 + 181*i**2 + 36*i**4 + 1136*i - 3*i**3 + 195*i**2 + 780 = 0.
-5, -3, -1, 13
Let v = -3124 + 3127. Let l(p) be the third derivative of 4/3*p**v + 0*p - p**4 - 18*p**2 + 0 - 7/30*p**5. Find m, given that l(m) = 0.
-2, 2/7
Let r(k) be the second derivative of k**4/54 - 103*k**3/9 - 245*k. Factor r(c).
2*c*(c - 309)/9
Let a = 1100 - 156201/142. Let s = 1133/426 - a. Factor 2*n**2 + 0*n - s - 2/3*n**3.
-2*(n - 2)**2*(n + 1)/3
Let m be 10 - (12/7 - (-22)/77). Suppose -3*s + 4 = -2*t - 8*s, 2*s + m = 0. Solve -4*l**2 + 14*l - 18*l - t*l = 0.
-3, 0
Let a(g) = 4*g**3 + 233*g**2 + 284*g - 227. Let i(r) = 2*r**3 + 117*r**2 + 139*r - 114. Let f(w) = 4*a(w) - 7*i(w). Determine s so that f(s) = 0.
-55, -2, 1/2
Let d(b) be the third derivative of 1/420*b**7 + b + 6*b**2 - 1/120*b**6 + 0 - 1/12*b**3 + 0*b**5 + 1/24*b**4. Factor d(q).
(q - 1)**3*(q + 1)/2
Determine d so that -2/7*d**5 - 344/7*d - 176/7 - 116/7*d**2 + 94/7*d**3 + 40/7*d**4 = 0.
-2, -1, 2, 22
Let t be (4 + -9 - 51/(-10))*145/(-522)*-27. Factor -1/4*u**4 + 1/4*u**2 + 1/4*u**5 + 0 + 1/2*u - t*u**3.
u*(u - 2)*(u - 1)*(u + 1)**2/4
Solve 0 - 100/3*i**3 + 195*i**2 - 270*i + 5/3*i**4 = 0.
0, 2, 9
Let l = -194 - -197. Let z(c) = 10*c**3 + 15*c**2 - c. Let y(s) = -20*s**3 - 31*s**2 + 3*s. Let q(i) = l*y(i) + 5*z(i). Suppose q(x) = 0. What is x?
-2, 0, 1/5
Let b be -6 + 8 + -7 + (-2618)/(-476). Suppose 8 + 9/2*z**4 + 24*z + b*z**5 + 16*z**3 + 28*z**2 = 0. Calculate z.
-2, -1
Suppose 2*m = x - 50, -4*x = 3*m - 45 + 120. Let k be 3 + (-2)/(-2) - 20/m. Solve -3/5*t**2 + k*t - 48/5 = 0.
4
Let w be 26 + (565 - 37)/(-22). Factor 0 + 2/13*l**w - 6/13*l.
2*l*(l - 3)/13
Let t(k) be the first derivative of -5*k**4/4 - 575*k**3 - 198375*k**2/2 - 7604375*k - 502. Factor t(m).
-5*(m + 115)**3
Suppose -29 + 29 = 3*o. Let s be ((-32)/(-12))/(-2) + o + 3. Factor 5/3*p**3 + s*p**2 + 0*p + 0.
5*p**2*(p + 1)/3
Determine h, given that -64/5 - 8/5*h**2 - 56/5*h + 2/5*h**3 = 0.
-2, 8
Suppose 200 = 5*r + 135. Let d be 1*-4 + (r - 6). Suppose -3/2*q**2 - 3/2*q**d + 3/2 + 3/2*q = 0. What is q?
-1, 1
Let c(m) be the first derivative of m**6/1440 + 7*m**5/240 - 13*m**3/3 - 2*m + 29. Let d(s) be the third derivative of c(s). Factor d(f).
f*(f + 14)/4
Let r(t) be the first derivative of -662*t**3/3 + 2*t**2 + 986. Suppose r(j) = 0. Calculate j.
0, 2/331
Let r(c) = -c**2 + 15*c - 47. Let p be r(10). Determine w so that -65*w - 50*w**2 + 69 - 19 + 50*w**3 + 70*w**p - 25*w**3 - 30*w**4 = 0.
-5/6, 1, 2
Suppose -88*p + 2358 = 43*p. Let r(n) = -n**3 - n**2 + 2*n + 2. Let s be r(-2). Factor p*u + 75*u**s + 256 + 369 + 5*u**3 + 357*u.
5*(u + 5)**3
Let c(v) be the third derivative of v**5/12 - 665*v**4/24 + 110*v**3 - 3*v**2 - 161. Suppose c(z) = 0. What is z?
1, 132
Let p = -1675876/3 - -558640. Factor -242/3 - 2/3*b**2 - p*b.
-2*(b + 11)**2/3
Determine f so that 64/7*f**2 - 232/7 - 2/7*f**3 - 166/7*f = 0.
-1, 4, 29
Let m = 4689901/10 + -468990. Factor 3/10*n**3 - m*n**5 - 1/5*n**4 + 2/5*n**2 + 0 - 2/5*n.
-n*(n - 1)**2*(n + 2)**2/10
Let r(v) = -378*v**2 - 387*v**2 + 756*v**2 + 4*v. Let y(x) = -28*x**2 + 13*x. Suppose 28 = -5*l + l. Let j(s) = l*r(s) + 2*y(s). Factor j(u).
u*(7*u - 2)
Let t(k) be the third derivative of -k**5/12 + 1615*k**4/2 - 3129870*k**3 - 2*k**2 + 77. Factor t(d).
-5*(d - 1938)**2
Let