, 0, 1/3
Let j be (-3)/(-21) - (1089/(-7))/3. Let l = 57 - j. Let -4*x**3 - x**5 + 3*x**5 + x**l - 2*x**3 + 3*x = 0. What is x?
-1, 0, 1
Factor -7/3*f**2 + 0*f + 1/3*f**3 + 0.
f**2*(f - 7)/3
Let p(h) = 3*h + 81. Let a be p(-27). Suppose 8*g - 3*g - 4*o = 2, 3*g + o - 8 = a. Factor 16 + 168*q**2 - 317*q**2 + 169*q**2 - 34*q - g*q**3.
-2*(q - 8)*(q - 1)**2
Let x(t) be the third derivative of -3*t**3 + 0 - 17/24*t**4 + 1/60*t**5 + 3*t**2 + 9*t. Find u, given that x(u) = 0.
-1, 18
Solve -763*w**3 + 5*w + 300 - 614 - 630*w**2 + 128*w**3 + 314 = 0 for w.
-1, 0, 1/127
Let t(l) be the third derivative of 0 + 0*l**4 + 1/330*l**6 - 1/220*l**5 + 0*l**3 + 0*l - 1/2310*l**7 - 27*l**2. Solve t(r) = 0.
0, 1, 3
Factor 39*w**3 + 29*w - 2178 + 56*w**4 + 2176*w**2 - 54*w**4 + 93*w**3 - 161*w.
2*(w - 1)*(w + 1)*(w + 33)**2
Let c(s) be the first derivative of -2/21*s**3 + 0*s + 2/7*s**2 + 82 - 1/14*s**4. Find j, given that c(j) = 0.
-2, 0, 1
Let i(k) = 11*k**4 - k. Let s(n) = 10*n**4 - 233*n**3 - 463*n**2 - 232*n. Let r(t) = -5*i(t) + 5*s(t). What is b in r(b) = 0?
-231, -1, 0
Let b = 207 + -201. Suppose 138 = 12*i - b. Determine r, given that -48 - 3/4*r**2 + i*r = 0.
8
Suppose -75*q - 12 = -71*q. Let c be (2/q + (-14)/6)*-1. Factor -36/7*r**2 - 33/7*r + 15/7*r**c + 18/7.
3*(r - 3)*(r + 1)*(5*r - 2)/7
Factor 20 - 1/6*d**3 - 49/3*d - 7/2*d**2.
-(d - 1)*(d + 10)*(d + 12)/6
Let r(i) be the first derivative of 1/270*i**5 - 33/2*i**2 + 0*i - 11 - 1/108*i**4 + 0*i**3. Let v(n) be the second derivative of r(n). Factor v(k).
2*k*(k - 1)/9
What is f in 6015 + 5*f**2 + 5510*f + 1511990 + 0*f**2 + 0*f**2 = 0?
-551
Let j(l) = l + 2*l + 3*l**2 - 3 - 10 - 2*l**2. Let t be j(-6). Factor 0*f**4 - t*f**4 - 4*f**3 - 11*f**3 + 0*f**4.
-5*f**3*(f + 3)
Suppose 0 = -2*p + 2, -3*i + 119*p + 97 = 117*p. Let m(r) be the second derivative of -5/8*r**3 + 0 + 0*r**2 - 1/16*r**5 + i*r + 5/12*r**4. Factor m(z).
-5*z*(z - 3)*(z - 1)/4
Factor 29685 + 29958 + 3*w**2 - 19697*w + 18851*w.
3*(w - 141)**2
Let c be 2/4 + (-3660)/(-24). Let k = c - -89. Factor 3*a - 16*a + 57*a + 2*a**2 + k.
2*(a + 11)**2
Let z be (0/25)/(-8 + 3). Let v(w) be the third derivative of 1/40*w**5 + 3*w**2 + 5/4*w**3 + 0*w + z - 3/8*w**4. Determine f so that v(f) = 0.
1, 5
Let f be 1448/(-2016)*408/(-165). Let o = 2/1155 + f. Let 4/9*d**4 - o*d**3 + 16/9*d - 16/9 + 4/3*d**2 = 0. Calculate d.
-1, 1, 2
Let z(d) be the second derivative of -5*d**4/12 + 45*d**3/2 - 315*d**2 - 2*d - 541. Factor z(h).
-5*(h - 21)*(h - 6)
Let x be (6*((-38)/42 - -1))/(-38 - (-17152)/448). Find t, given that -4/3*t**x + 24 + 28/3*t = 0.
-2, 9
Let l be ((-8)/(-2) + -5)*-5*1. Let 4*x**4 + 236*x**2 + 19*x**3 + l*x**3 - 200*x**2 = 0. What is x?
-3, 0
Let d be ((-45)/560)/(12/(-42)) - 4/16. Let s(w) be the first derivative of 0*w**2 - d*w**4 + 0*w**3 + 12 + 0*w - 1/20*w**5. Solve s(v) = 0.
-1/2, 0
Let b(j) be the third derivative of j**6/1800 - j**5/20 + 15*j**4/8 + 13*j**3/6 + j**2. Let c(q) be the first derivative of b(q). Determine y so that c(y) = 0.
15
Let v(z) be the first derivative of -z**6/72 + 23*z**5/120 + 5*z**4/12 - 3*z**3 - 57. Let l(f) be the third derivative of v(f). Factor l(r).
-(r - 5)*(5*r + 2)
Let c(u) = u**4 - u**3 - 22*u**2 + 88*u + 126. Let q(b) = -b**3 + 2*b**2 - 2*b - 1. Let g(h) = c(h) + 6*q(h). Determine r so that g(r) = 0.
-2, 5, 6
Let i = 167759/670940 + -6/167735. Let i*a**2 - 31/2*a + 961/4 = 0. What is a?
31
Let k(b) be the first derivative of -b**5/40 + 9*b**4/32 - 9*b**3/8 + 27*b**2/16 - 4981. Factor k(w).
-w*(w - 3)**3/8
Suppose v + 68 = -v. Let d = v + 36. Factor 3*u**5 - 15*u**4 - 351*u**2 + 12*u**3 + 351*u**d.
3*u**3*(u - 4)*(u - 1)
Let t = -669751/5 - -133964. Factor -291/5*n - t - 12*n**2.
-3*(4*n + 1)*(5*n + 23)/5
Let t(o) be the first derivative of o**3/18 + 79*o**2/6 + 308*o/3 + 4321. Factor t(a).
(a + 4)*(a + 154)/6
Let v(j) be the second derivative of j**4/6 - 10*j**3/3 - 231*j**2 - 4*j - 170. Factor v(h).
2*(h - 21)*(h + 11)
Suppose 23*j - 35 = 18*j. Suppose -10 = -i - j. Suppose b**4 + 10*b**2 - b**5 + 71*b**3 + 5*b**4 - 83*b**i - 3*b = 0. What is b?
0, 1, 3
Suppose -29*q + 18 = -26*q. Factor g**5 - 6*g**5 + 567*g + g**4 + 486*g**2 + 108*g**3 - q*g**4 + 2*g**5 - g**4.
-3*g*(g - 7)*(g + 3)**3
Let u(j) = 1448*j - 11458. Let i be u(8). Find f such that -i*f**2 + 7*f**4 + 0 + 1/2*f**5 + 162*f + 13/2*f**3 = 0.
-9, 0, 2
Let t(f) be the third derivative of -2*f**7/21 - 55*f**6/24 - 41*f**5/6 + 5*f**4 + 792*f**2. Suppose t(d) = 0. Calculate d.
-12, -2, 0, 1/4
Let b = 1008101/1638143 + -1/126011. Factor 4/13 + b*d**2 - 10/13*d - 2/13*d**3.
-2*(d - 2)*(d - 1)**2/13
Let r(c) be the second derivative of 3/5*c**5 - 56/3*c**3 + 13/3*c**4 + 0 - 50*c + 24*c**2. Factor r(f).
4*(f - 1)*(f + 6)*(3*f - 2)
Let l(r) = 52*r**3 + 604*r**2 - 2120*r - 2704. Let i(j) = 10*j**3 + 121*j**2 - 424*j - 541. Let x(b) = -16*i(b) + 3*l(b). What is c in x(c) = 0?
-34, -1, 4
Let m(s) be the first derivative of 7*s**5/80 - 11*s**4/12 + 25*s**3/8 - 9*s**2/4 + 31*s - 49. Let g(p) be the first derivative of m(p). Factor g(k).
(k - 3)**2*(7*k - 2)/4
Let d(x) = -x**2 + x - 23. Let n(h) = -20*h**2 - 212*h + 352. Let q(p) = -16*d(p) + n(p). Determine f so that q(f) = 0.
-60, 3
Suppose 4*b = 3*h + 2, h - 4*b + 9 = -5. Let m be (16/(-28))/((-6)/42). What is w in 2*w**3 + w**5 - 3*w**5 - 2*w**5 + h*w**3 - m*w**4 = 0?
-2, 0, 1
Let a(b) = -6*b - 7. Let c be a(-3). Suppose 11 + c = 11*l. Factor 19*k + 0*k**2 - 7*k + 3*k**l + k**2 - 16.
4*(k - 1)*(k + 4)
Let r be ((-540)/(-405))/(5/(-3) + 1)*-2. Let p(l) be the first derivative of -r*l**3 - 4*l**4 - 4/5*l**5 + 8*l**2 - 9 + 16*l. Factor p(g).
-4*(g - 1)*(g + 1)*(g + 2)**2
Let v(y) = 54*y - 11*y**2 - 4 + 4 + y**3 - 57*y. Let r = 7 + -4. Let x(d) = -2*d**3 + 10*d**2 + 2*d. Let t(b) = r*x(b) + 2*v(b). Factor t(k).
-4*k**2*(k - 2)
Let i = -103062 - -412253/4. Suppose -3/4*n**3 - 1/2 + i*n + n**2 = 0. What is n?
-1, 1/3, 2
Let u = 11302 + -11297. Let d(s) be the second derivative of 0*s**2 + 0 - 1/6*s**4 + 1/30*s**u + 2/9*s**3 + 8*s. Determine j so that d(j) = 0.
0, 1, 2
Let w(m) be the first derivative of m**3/2 - 357*m**2/4 + 351*m + 49. Let w(t) = 0. Calculate t.
2, 117
Let g = -119 - -172. Suppose -57*o + 8 = -g*o. Factor -4 + 12*w**2 - 121*w**4 + 52*w - 141*w**2 + 286*w**3 - 84*w**o.
-(w - 1)**2*(11*w - 2)**2
Let -38/17*r - 38/17*r**5 + 4/17*r**2 - 2/17 + 76/17*r**3 - 2/17*r**4 = 0. What is r?
-1, -1/19, 1
Let b(s) be the second derivative of 0 - 16*s + 1/18*s**4 + s**2 - 2/9*s**3 - 1/180*s**5. Let y(p) be the first derivative of b(p). Factor y(l).
-(l - 2)**2/3
Let o(d) = 2*d**3 + 4*d**2 + 2*d. Let g(q) = 5*q**3 + 11*q**2 + 7*q + 1. Let b = -91 - -71. Let p be 11/(55/b) - 0. Let z(t) = p*g(t) + 11*o(t). Factor z(u).
2*(u - 2)*(u + 1)**2
Let -117856 - 5*t**4 + 535*t**3 - 14575*t**2 + 14045*t + 117856 = 0. Calculate t.
0, 1, 53
Let p = -32974 - -1318961/40. Let k(b) be the second derivative of 34*b + p*b**5 + 0 + 1/6*b**3 + 1/8*b**4 + 0*b**2. Factor k(c).
c*(c + 1)*(c + 2)/2
Let r = 557 - 553. Factor 29*g**2 + 60*g**3 - 3*g**4 - 2*g**r + 480*g - 134*g**2 - 96*g**2 - 320 - 59*g**2.
-5*(g - 4)**2*(g - 2)**2
Find s such that 27*s**4 - 27*s**2 - 51/2*s + 0 + 24*s**3 + 3/2*s**5 = 0.
-17, -1, 0, 1
Let u(l) be the second derivative of l**6/240 + l**5/32 - 91*l**4/96 - 293*l**3/48 - 99*l**2/8 + 5460*l + 2. Determine r so that u(r) = 0.
-11, -2, -1, 9
Let q(n) be the second derivative of 0*n**2 - 13/10*n**4 + 2 - 4/75*n**6 + 94*n + 49/100*n**5 + 3/10*n**3. Factor q(x).
-x*(x - 3)**2*(8*x - 1)/5
Suppose -z - 8*z = -99. Suppose 4*h - z = k - 4*k, 8 = 2*h + 4*k. Suppose 97 - 93 - 3*x + 4*x + 11*x - 16*x**h = 0. Calculate x.
-1/4, 1
Suppose 49 = 3*k + 43. Let n be -1*(-4 + k) + 4. Factor n*v - 3*v**2 + 65 - 98 - 21*v + 51.
-3*(v - 1)*(v + 6)
Let m(g) be the third derivative of g**6/40 + 31*g**5/20 + 59*g**4/8 + 29*g**3/2 + 17*g**2 - 14*g. Determine j so that m(j) = 0.
-29, -1
Let t = 504 - 465. Let z = -37 + t. What is a in 24/5 - 72/5*a + 6*a**z = 0?
2/5, 2
Let i(r) = 11*r**2 + 53*r + 98. Let z = 488 - 487. Let h(t) = t**2 - t. Let w(u) = z*i(u) - 3*h(u). Factor w(l).
2*(2*l + 7)**2
Let c be ((-10)/(-35) - 0) + 130/(-504). Let r(f) be the second derivative of 0 + 1/2*f**2 + 3*f + c*f**4 + 2/9*f**3. Factor r(i).
(i 