g + 102)**2/6
Let x(d) = 12*d - 20. Let u be x(3). Let z be (-4)/u*(-5 - 1). Factor 0 - z*f**2 - 1/2*f**4 - 1/2*f - 3/2*f**3.
-f*(f + 1)**3/2
Let n(j) be the second derivative of 3*j**5/20 + 173*j**4/3 + 40135*j**3/6 + 13225*j**2 + 79*j. Factor n(i).
(i + 115)**2*(3*i + 2)
Suppose 0 = -2138*s + 2152*s - 56. Let f(z) be the second derivative of -z**3 - 2/3*z**s + 0*z**2 + 4*z + 0 - 1/10*z**5. Suppose f(n) = 0. What is n?
-3, -1, 0
Suppose 69 - 160 = -7*m. Let z = -10 + m. Factor 36*s**2 - 64*s - 3*s**5 - 32*s**4 + 8*s**5 + 60*s**z - s**5 - 4*s**2.
4*s*(s - 4)**2*(s - 1)*(s + 1)
Factor -284*f + 91*f - 45 - 252*f + 125*f**3 - 1075*f**2.
5*(f - 9)*(5*f + 1)**2
Factor 3*m**3 - 384 + 36*m - 48*m**2 - 115*m + 319*m.
3*(m - 8)*(m - 4)**2
Let o(p) = 5*p**2 - 13*p - 22. Let g = 2 - 10. Let s(h) = 2*h**2 - 4*h - 7. Let b be -4*(-2 + 1) - 1. Let x(q) = b*o(q) + g*s(q). Determine n so that x(n) = 0.
-5, -2
Let t(p) = 12 + 2 + 9399*p**2 - 7 - 9395*p**2 + 33*p - p**3. Let o be t(-4). Factor 7/3 - 13/3*d + 5/3*d**2 + 1/3*d**o.
(d - 1)**2*(d + 7)/3
Let c(l) be the second derivative of -51*l + 0*l**2 + 0 - 10/3*l**3 - 5/12*l**4. Factor c(b).
-5*b*(b + 4)
Let o(y) = 2*y**3 - 284*y**2 + 6*y + 286. Let n(k) = -2*k**3 - k**2 - 2*k. Let v(t) = 2*n(t) + o(t). Factor v(s).
-2*(s - 1)*(s + 1)*(s + 143)
Let l(u) = -3*u**2 - 675*u - 37568. Let v be l(-124). Suppose -192/5*m - 2/5*m**5 + 22/5*m**v + 72/5 - 94/5*m**3 + 194/5*m**2 = 0. What is m?
1, 2, 3
Suppose 11*x = -x + 120. Suppose -4*n = l - 51, -5*l - x = n - 18. Let 0 + 35*m - m**2 - 4*m**2 - 17 - n = 0. Calculate m.
1, 6
Let j(s) be the third derivative of 1/12*s**6 + 0 + 0*s**3 + 2/15*s**5 - 133*s**2 + 1/105*s**7 + 0*s + 0*s**4. Find p such that j(p) = 0.
-4, -1, 0
Let p(a) = -3*a**2 - 28*a + 325. Let b be p(-16). Determine x, given that b*x - 8 - 1/2*x**2 = 0.
2, 8
Suppose -q + 3*o = 4*q - 332, 3*q - 5*o = 212. Let m(t) = t**2 - 105*t - 1880. Let p be m(-16). Factor 56*s**2 + q - 4*s**3 - p*s**2 + 48*s.
-4*(s - 4)*(s + 2)**2
Let o(c) be the second derivative of -2/45*c**6 + 0 + 0*c**5 + 4/9*c**4 - 67*c + 0*c**3 + 0*c**2. Determine g so that o(g) = 0.
-2, 0, 2
Let a be (8/3)/(33/5247*106). Solve 0 + 5/2*j**3 + 3/2*j**2 - 9/2*j + 1/2*j**a = 0 for j.
-3, 0, 1
Suppose 0 = 2*q + 2*n - n - 34, q + 4*n = 10. Suppose -2*w + 8*w = q. Let -w*h + h**2 - 4*h - 9*h + 64 = 0. Calculate h.
8
Let f(n) be the third derivative of n**7/14 - 11*n**6/10 + 33*n**5/10 + 35*n**4/2 + 25*n**3/2 + 1693*n**2. Suppose f(y) = 0. What is y?
-1, -1/5, 5
Let f = 139198 - 26169327/188. Let t = -14/47 - f. Suppose -h + t*h**2 + 1 = 0. Calculate h.
2
Let l(t) be the first derivative of 3*t**5/5 + 615*t**4/4 + 608*t**3 + 606*t**2 + 5508. Find z such that l(z) = 0.
-202, -2, -1, 0
Let j = -3082/3 - -1028. Suppose -9*b = 71*b - 240. What is n in -54 - 36*n**2 + 72*n - j*n**4 + 8*n**b = 0?
3
Let n(x) be the second derivative of -x**5/80 + 3*x**4/4 - 143*x**3/8 + 847*x**2/4 + 1571*x. Factor n(d).
-(d - 14)*(d - 11)**2/4
Let z be (-52)/(-702) - (-184)/(-2403). Let b = 265/801 - z. Let 5/3*a - b*a**2 + 0 = 0. Calculate a.
0, 5
Let i be (-35)/(-9) - 9*11/(-891). Let k(c) be the first derivative of -3*c + 0*c**2 + 2*c**3 - 3/5*c**5 + 0*c**4 - i. Find z, given that k(z) = 0.
-1, 1
Factor -56/5*x**2 + 0 - 24*x + 2/5*x**3.
2*x*(x - 30)*(x + 2)/5
Let b(l) = l**3 + 8*l**2 + 8*l + 7. Let n be b(-7). Let z be (-2673)/1188 + (-51)/(-12). Factor 2/5*t**z + 3/5*t**3 + 0*t + n.
t**2*(3*t + 2)/5
Solve -1843*p - 3396649/2 - 1/2*p**2 = 0.
-1843
Factor 7*f**4 + 20*f**2 - 10*f + 5*f**3 - 12*f**4 + 4*f - 11*f - 3*f.
-5*f*(f - 2)*(f - 1)*(f + 2)
Let x(q) be the first derivative of 2*q**3/33 - 465*q**2/11 + 7504. Factor x(u).
2*u*(u - 465)/11
Let h be (79/(-3) - (-14)/(-21))*2. Let n = -45 - h. Factor n*d - 23*d**3 + 8*d**3 - 4*d**2 - d + 11*d**3.
-4*d*(d - 1)*(d + 2)
Let x be (-9 - (2 + (-55)/231*51))/((-24)/(-42)). What is b in 12/5*b**x + 0*b + 0 + 9/5*b**3 - 3/5*b**4 = 0?
-1, 0, 4
Let l be 3/(-9*(-3)/9)*-1. Let i(w) = 10*w**2 - 20. Let b(c) = -c**2. Let n(x) = l*i(x) - 5*b(x). Determine y, given that n(y) = 0.
-2, 2
Factor -4*u**3 + 6049*u**2 + 6571*u**2 - 10940*u**2.
-4*u**2*(u - 420)
What is c in 99*c**4 - 425*c**2 + 146*c**2 + 225447*c**5 + 177*c**3 - 225444*c**5 = 0?
-31, -3, 0, 1
Let l = -7810 + 7818. Let u(p) be the first derivative of 2/3*p**3 - l*p + 11 + 3*p**2. Solve u(y) = 0.
-4, 1
Factor 122*s - 1485*s + 211*s + 2*s**2 - 634*s + 3564.
2*(s - 891)*(s - 2)
Let n(z) = z**3 + 56*z**2 - 336*z + 285. Let x(a) = 35 + 37 - 73 + 2*a**3 - a**3 + 2*a**2. Let y(s) = 2*n(s) - 6*x(s). Factor y(c).
-4*(c - 12)**2*(c - 1)
Let z(o) be the second derivative of -o**6/45 + o**5/3 + 16*o**4/3 + 6914*o. Determine c, given that z(c) = 0.
-6, 0, 16
Find u, given that 0 - 21/2*u**4 - 36*u + 435/2*u**2 + 243*u**3 = 0.
-1, 0, 1/7, 24
Find d, given that 6*d**2 + 0 - 95/4*d - 1/4*d**3 = 0.
0, 5, 19
Factor -1/5*g**2 - 37/5*g + 42.
-(g - 5)*(g + 42)/5
Factor -20/3 + 32/9*o**2 + 26/9*o + 2/9*o**3.
2*(o - 1)*(o + 2)*(o + 15)/9
Let u(d) = 2*d**2 - 28. Let h be u(-4). Suppose -87 - 16*b + 14*b**2 + 181 - h*b**3 - 88 = 0. What is b?
1, 3/2
Let w = -103 + 100. Let g be (-28)/w - (-2)/3. Solve 121 + g*t + 12*t + t**2 + 0*t = 0 for t.
-11
Let w = 429 - 424. Factor 0*i**2 + 26*i + 1469 + 18*i**2 + w*i**2 - i**2 - 1465.
2*(i + 1)*(11*i + 2)
Let t be 2/(-19) + (-360)/(-171). Let 220*o + 51 + 4*o**t - 19*o**2 - 84 - 67 - 55*o**3 + 10*o**4 = 0. Calculate o.
-2, 1/2, 2, 5
Let x(y) = -94*y + 829. Let c(h) = -31*h + 273. Let l(r) = 11*c(r) - 4*x(r). Let a be l(9). Solve 1/6*w**5 - 1/2*w - 2/3*w**4 + 1/3*w**3 + 0 + 2/3*w**a = 0.
-1, 0, 1, 3
Let m(q) = 19*q**2 - 1500*q + 1493. Let d(u) = -15*u**2 + 1500*u - 1495. Let n(o) = -6*d(o) - 5*m(o). Let n(z) = 0. What is z?
-301, 1
Let v(y) = y**2 + 6*y - 12. Let w be v(-8). Factor -37*s**2 - w*s**4 - 3*s - 3*s - 20*s**3 + 15*s**4.
s*(s - 3)*(s + 1)*(11*s + 2)
Suppose -a = 42242*t - 42246*t + 46, -4*a = -4*t + 28. What is b in 4*b**2 + a - 1/2*b**3 - 19/2*b = 0?
1, 3, 4
Find s such that -298/3*s**3 + 6*s**5 + 232/3*s - 76*s**2 + 48 + 44*s**4 = 0.
-9, -2/3, 1, 2
What is u in 70*u + 687393*u**2 - 343732*u**2 - 343904*u**2 - 7*u**3 = 0?
-35, 0, 2/7
Let v = 63921729/1709 + -37403. Let d = v - -6802/29053. Factor -d + 2/17*q - 2/17*q**3 + 4/17*q**2.
-2*(q - 2)*(q - 1)*(q + 1)/17
Suppose -5*k = 2*j + 35, 4*j + 5*k + 96 = 21. Let w = j + 44. Factor w*y - y**3 + 8*y + 13*y - 30*y**2 - 20 + 6*y**3.
5*(y - 4)*(y - 1)**2
Let w be (9 - 39)/(-5)*(15/(-6) - -3). Factor 4/5 - 1/5*d**w + 0*d - 3/5*d**2.
-(d - 1)*(d + 2)**2/5
Suppose -4*b + 255 = -b - 3*u, -5*b - 5*u + 425 = 0. Let h = b - 72. Determine w, given that 4*w - 12*w**3 + w**5 + h*w**5 + 4*w**2 - 4*w**4 - 6*w**5 = 0.
-1, -1/2, 0, 1
Suppose 0 = -3*y + 644 - 584. Factor 1 + 2 - p**2 - 6 + 21*p - 3*p**2 - 48*p**3 - y*p**2.
-3*(p + 1)*(4*p - 1)**2
Suppose -320/13 - 2/13*l**2 + 74/13*l = 0. Calculate l.
5, 32
Let i(t) = -52*t + 218. Let j be i(4). Suppose 4*c + 2*s - j = 0, 0 = 7*c - 10*c - 4*s + 10. Suppose 0*q**c + 1/5*q**3 + 0*q + 0 = 0. What is q?
0
Let o = 151 + -146. Factor 64*l**5 + 16*l**4 + 1 - 1 - 66*l**o - 32*l**3.
-2*l**3*(l - 4)**2
Let c(m) be the first derivative of -2*m**3/9 + 26*m**2/3 - 1243. Factor c(g).
-2*g*(g - 26)/3
Let k = -112 + 115. Factor 3*w**4 + 6*w**k - w**4 + 0*w**4 + 4*w**2.
2*w**2*(w + 1)*(w + 2)
Let 15*g**3 + 5 - g**4 + 9*g**2 + 2 + 24*g**2 - 7 + 17*g = 0. What is g?
-1, 0, 17
Let d be 3 + (-626)/25*(-20)/112. Let u = d + -71/14. Find g, given that -u*g**3 + 12/5*g + 4/5*g**2 - 4/5*g**4 + 0 = 0.
-3, -1, 0, 1
Let t(c) = c**3 - 6*c**2 + 14*c - 9. Let u be t(4). Solve -392*z - z**4 + 0*z**4 - 252*z**2 + 0*z**4 - 15*z**3 - u*z**3 = 0.
-14, -2, 0
Let z(o) = -2*o**2 - 13204*o + 2950. Let t(c) = 13207*c - 2949. Let w(i) = -10*t(i) - 9*z(i). Solve w(v) = 0.
2/9, 735
Let c(u) be the first derivative of -u**7/189 + u**6/45 - u**5/45 - 46*u - 127. Let s(b) be the first derivative of c(b). Factor s(o).
-2*o**3*(o - 2)*(o - 1)/9
Let p = -175/2028 - -1/338. Let g = p - -23/84. Factor 0 - 2/7*a**3 + g*a**2 + 2/21*a**4 + 0*a.
2*a**2*(a - 2)*(a - 1)/21
Let k be (3*(-8)/(-6))/1. Suppose 5*s = d - 6*d + 20, 5*d = 10. Let -80*r - 7*r**3 + k*r**4 + s*r**5 - 16*r**2 + r**3 + 72*r = 0. What is r?
-2, -1, 0, 2
Le