-1, 0, 2/3
Solve 55*x + 168*x + 38*x**3 + 42*x**2 - 240*x**2 - 61*x - 2*x**4 = 0.
0, 1, 9
Let s(l) be the second derivative of l**4/132 - 7*l**3/11 - 343*l**2/22 + 244*l - 15. Factor s(c).
(c - 49)*(c + 7)/11
Let l = 16520 + -11481397/695. Let m = 6977/6255 - l. Solve -14/9*q**3 - 2/9*q**5 - m*q**4 + 16/9*q + 8/9 + 2/9*q**2 = 0 for q.
-2, -1, 1
Suppose -5260 = -7993*t + 5363*t. What is w in 20/13*w + 0 + 2/13*w**t = 0?
-10, 0
Factor 412/5*f - 408/5 - 4/5*f**2.
-4*(f - 102)*(f - 1)/5
Suppose 4*x + x - 448 = -2*d, 0 = d + 1. Let c be (-4)/(-30) + 98/x - 1. Factor -2/9*y**2 + 2/9 - c*y + 2/9*y**3.
2*(y - 1)**2*(y + 1)/9
Let j(h) = 3*h + 25. Let y be j(-7). Let g(z) be the third derivative of 0*z + 1/300*z**5 - 1/1200*z**6 + 3*z**2 + 1/240*z**y - 1/30*z**3 + 0. Factor g(n).
-(n - 2)*(n - 1)*(n + 1)/10
Let r(u) = -2 - 9 + 18 - 3 - 6 + u. Let x(j) = 8*j**2 - 320*j - 40. Let y(n) = 36*r(n) + 2*x(n). Factor y(z).
4*(z - 38)*(4*z + 1)
Let o(n) be the third derivative of 0*n + 1/6*n**3 - n**2 + 0 + n**4 - 7/120*n**6 + 13/20*n**5. Let u(d) be the first derivative of o(d). Factor u(b).
-3*(b - 4)*(7*b + 2)
Let a(y) be the second derivative of y**7/45 + 11*y**6/75 - 49*y**5/150 - 193*y**4/90 + 14*y**3/15 + 32*y**2/3 + 1212*y - 1. Let a(q) = 0. What is q?
-5, -2, -1, 1, 16/7
Factor -624*p + 0 + 3/2*p**3 - 1245/2*p**2.
3*p*(p - 416)*(p + 1)/2
Let s be 24/(-3)*(4 - 7/2). Let l be (13 + s)*6/18. Suppose -6/5*a**l - 1/5*a**5 - 4/5*a**4 + 0 - 1/5*a - 4/5*a**2 = 0. Calculate a.
-1, 0
Let l be (-2 + 2)*(-8 + (-25)/(-3))*3. Let s(u) be the third derivative of 1/330*u**5 - u**2 - 1/11*u**3 + l*u - 1/66*u**4 + 0. Factor s(m).
2*(m - 3)*(m + 1)/11
Let h(j) = -4*j**4 + 84*j**3 - 180*j**2 + 4*j + 4. Let k(s) = 4*s**4 - 88*s**3 + 183*s**2 - 5*s - 5. Let d(w) = 5*h(w) + 4*k(w). Factor d(f).
-4*f**2*(f - 14)*(f - 3)
Find f, given that f**5 - 400*f**2 + 390*f**3 - 69*f - 120*f**4 + 204*f - 6*f**5 = 0.
-27, 0, 1
Find h such that -29*h + 1/4*h**3 - 25/4*h**2 + 0 = 0.
-4, 0, 29
Let j(x) be the third derivative of x**8/80640 - 23*x**7/20160 - x**5/60 - 5*x**3/2 + 80*x**2. Let g(m) be the third derivative of j(m). Factor g(u).
u*(u - 23)/4
What is t in 71/4*t**2 + 18*t - 1/4*t**3 + 0 = 0?
-1, 0, 72
Let a(x) be the first derivative of -x**3/3 + 3*x**2/2 - 1340. Factor a(s).
-s*(s - 3)
Let l(h) be the third derivative of h**7/840 - 13*h**6/480 + 41*h**5/240 - 47*h**4/96 + 3*h**3/4 + 85*h**2 + 8. Let l(k) = 0. What is k?
1, 2, 9
Let i be (2 - 0 - 57/(-152))*12. Let r = -619/22 + i. Find c such that 2/11*c**3 - r + 4/11*c**2 - 2/11*c = 0.
-2, -1, 1
Let d(n) = -n**2 + 17*n - 1. Let j(v) = 24*v**2 - 596*v + 272. Let y(u) = -20*d(u) - j(u). Factor y(m).
-4*(m - 63)*(m - 1)
Let s(z) be the second derivative of z**4/54 - 52*z**3/27 - 55*z**2/3 + 43*z - 6. Factor s(k).
2*(k - 55)*(k + 3)/9
Let i(a) be the second derivative of -a**4/48 - 239*a**3/12 - 57121*a**2/8 + 1636*a. Factor i(s).
-(s + 239)**2/4
Suppose 0 = -d + 2*d - 4, -2*r = -5*d + 52. Let w be (3 + (-9)/6)*r/(-6). Factor 12*t**4 + w*t**2 - 2*t + 2*t + 31*t**3 - 47*t**3.
4*t**2*(t - 1)*(3*t - 1)
Let a(y) be the second derivative of -y**4/12 + 7*y**3/6 - 3*y**2 + 2*y - 132. Factor a(o).
-(o - 6)*(o - 1)
Let v(j) be the third derivative of j**7/135 - 71*j**6/270 + 299*j**5/270 - 50*j**4/27 + 4*j**3/3 + 2*j**2 - 1774. Determine z, given that v(z) = 0.
2/7, 1, 18
Let q be (304/(-70))/(6/(-15)) + -7. Let 0 + 3/7*i**5 + 3*i**2 + 15/7*i**4 + 6/7*i + q*i**3 = 0. What is i?
-2, -1, 0
What is l in -16/7 + 40*l + 18/7*l**3 + 143/7*l**2 = 0?
-4, 1/18
Factor -95/7*u + 1/7*u**3 + 186/7 - 92/7*u**2.
(u - 93)*(u - 1)*(u + 2)/7
Factor -6292*s**2 - 7*s**3 - 1456416*s - 8*s**3 + 1274*s**2 - 4336*s**2 + 584064.
-3*(s + 312)**2*(5*s - 2)
Let p(l) be the second derivative of -l**4/24 + 89*l**3/12 - 22*l**2 - 2*l + 163. What is i in p(i) = 0?
1, 88
Factor 8*o**2 + 19*o**2 + 64*o**2 + 42*o**2 + 7*o**2 - 4*o**3.
-4*o**2*(o - 35)
Solve -4/3*v**4 + 216*v + 0*v**3 + 332/3*v**2 + 320/3 = 0 for v.
-8, -1, 10
Let s = 192 - 337. Let b be 261/s*((-2)/3 - 1). Factor -5 - 5/4*c**4 - 65/4*c**2 + 15*c + 15/2*c**b.
-5*(c - 2)**2*(c - 1)**2/4
Let n be 1/(11/(-6) + 2). Let w(a) = -16*a - a - a**2 + 34*a - 18*a. Let g(f) = 4*f**4 - 4*f**3 - 6*f**2 - 6*f. Let c(p) = n*w(p) - g(p). Factor c(u).
-4*u**3*(u - 1)
Factor 8/5 + 48*n + 346/5*n**2 + 114/5*n**3.
2*(n + 1)*(n + 2)*(57*n + 2)/5
Suppose o - 15 = 2*x, 0*x - 54 = -5*o + 3*x. Suppose 0 = o*s - 4*s + 3*v - 75, s + 2*v = 22. Factor -32*z**3 - 4*z**2 + s*z**4 - 4 + 22*z**2 - 5*z**2 + 11*z**2.
4*(z - 1)**3*(3*z + 1)
Suppose 320*i = 313*i + 483. Factor 25*t + 20*t**4 + 15*t**3 - i*t - 29 + 10*t**2 + 45*t**3 - 5*t**5 - 11*t - 1.
-5*(t - 6)*(t - 1)*(t + 1)**3
Suppose a - 5*j = 15, -4*a + 0*a + 2*j = -24. Let w be 6/a*15/6. Suppose -2*p - 10 + 16 + w*p**2 - 7*p = 0. What is p?
1, 2
Let i(l) be the second derivative of -5/4*l**4 + 0 + 62*l + l**3 + 0*l**2 + 9/20*l**5 - 1/14*l**7 + 1/10*l**6. Solve i(m) = 0 for m.
-2, 0, 1
Let u(o) = -7*o**4 - 32*o**3 - 66*o**2 - 38*o. Let v(d) = -155*d**4 - 705*d**3 - 1455*d**2 - 835*d. Let s(w) = 45*u(w) - 2*v(w). Suppose s(t) = 0. What is t?
-2, 0
Let o(k) be the second derivative of 57*k - 7/6*k**3 + 3 + 5/36*k**4 - 13/3*k**2. Find h, given that o(h) = 0.
-1, 26/5
Let g(j) = -j**3 - 147*j**2 - 476*j - 6333. Let k be g(-144). Let -2/3*x**k + 2/3*x**2 + 0*x + 0 - 2/3*x**4 + 2/3*x**5 = 0. Calculate x.
-1, 0, 1
Let z = 49 + -44. Suppose 3*x + z*f - 10*f = 255, 2*f - 96 = -x. Factor -12*p + x*p**2 + 2/5.
2*(15*p - 1)**2/5
Let 17*q**3 - 80/9*q + 2/9*q**4 - 148/3 + 41*q**2 = 0. What is q?
-74, -2, -3/2, 1
Suppose l = 1, 303 = 4*t + l - 2*l. Let i(d) = 31*d + 963. Let g be i(-31). Factor -75*b**g - 3*b + b - 3 + t*b**2.
(b - 3)*(b + 1)
Let g(a) be the second derivative of -a**5/100 - 2*a**4/5 - 23*a**3/30 + 3*a + 10. Let g(x) = 0. Calculate x.
-23, -1, 0
Suppose 2*i = 4*y + 212, 4*i + y + 2*y - 391 = 0. Suppose i = 5*h - 5. Factor -20 - h*a**2 - 3*a + 5*a**3 - 4*a**2 + 43*a.
5*(a - 2)**2*(a - 1)
Suppose 4*l = 28*l - 10080. Factor -792*y**2 + l*y - 3808*y - 2*y**4 - 144*y**3 - 2662 - 227*y**3 + 303*y**3.
-2*(y + 1)*(y + 11)**3
Let f(x) = 5*x - 1 + x**2 - 6 - 2 + 5. Let s be f(-6). Factor -9 + 6*j**2 - 8*j - 2*j**s - 5 + 2.
4*(j - 3)*(j + 1)
Let c(k) = 2*k**4 - 105*k**3 - 279*k**2 - 235*k - 63. Let z(r) = -r**4 - r**3 - r - 1. Let f(g) = c(g) + 5*z(g). Factor f(w).
-(w + 1)**2*(w + 34)*(3*w + 2)
Let m be 18/(-315)*10*21/(-6). Factor 28*b**3 + 6*b**m - 6*b**4 + 225 + 198*b**2 + 390*b + 9*b**4 + 14*b**3.
3*(b + 1)*(b + 3)*(b + 5)**2
Let x(m) be the third derivative of m**7/126 + 7*m**6/36 + 35*m**5/36 - 125*m**4/36 + 433*m**2 - 7*m. Determine n so that x(n) = 0.
-10, -5, 0, 1
Let k be (-39)/(-6)*(-169)/(-2197). Solve 0 + 3/2*l**4 + 2*l - 5/2*l**3 - 3/2*l**2 + k*l**5 = 0 for l.
-4, -1, 0, 1
Let l(n) be the first derivative of -n**5/60 + 2*n**4/9 + n**3/18 - 4*n**2/3 - 75*n - 7. Let j(g) be the first derivative of l(g). Determine f so that j(f) = 0.
-1, 1, 8
Find u such that 3/5*u**5 + 3*u**4 + 0 + 3*u**3 - 18/5*u - 3*u**2 = 0.
-3, -2, -1, 0, 1
Let u be 5*21/(-70) + (-52)/64*-2. Let g(b) be the third derivative of 0 + 0*b**3 + u*b**4 + 8*b**2 + 0*b + 3/40*b**5 + 1/80*b**6. Find f such that g(f) = 0.
-2, -1, 0
Let h(m) be the third derivative of 0 - 1/175*m**7 + 3/50*m**5 - 1/20*m**4 - 2/15*m**3 - 4*m**2 - 1/300*m**6 + 0*m. Find z, given that h(z) = 0.
-2, -1/3, 1
Let h(o) be the second derivative of 391*o**4/48 - o**3/2 - o**2/2 + 753*o. Factor h(j).
(17*j - 2)*(23*j + 2)/4
Let k(d) be the first derivative of 1/30*d**4 - 2/5*d**3 + 13*d + 9/5*d**2 + 12. Let g(b) be the first derivative of k(b). Suppose g(q) = 0. Calculate q.
3
Let w(z) = z**2 + 2208*z + 8818. Let a be w(-4). Let -7/2*y**3 - 4*y**a - 1/2*y + 0 = 0. Calculate y.
-1, -1/7, 0
Suppose 24 = 5*z + 19. Let a(j) = -j**4 + j**2. Let n(t) = 4*t**4 - 2*t**3 - 6*t**2 + 8*t - 4. Let r(i) = z*n(i) + 3*a(i). Factor r(b).
(b - 2)*(b - 1)**2*(b + 2)
Let f = 126628 - 253171/2. Find z, given that -95/4*z + f*z**2 - 15/2 - 45/4*z**3 = 0.
-2/9, 1, 3
Suppose 4*m = -20, 4*m - 15 = 2*h - 133. Let b be 9 + -14 + h/7. Solve 0*z + 4*z**3 - 21/5*z**4 + 0 - 4/5*z**b = 0.
0, 2/7, 2/3
Let i(s) = -2*s**4 + 4*s**2 + 4*s. Let g = -2332 + 2330. Let p(f) = 4*f + f**2 - 