6*x**3 - 28*x**3 + 1092*x = 0. Calculate x.
-3, 47
Suppose 118*t**3 + 59*t**3 - 22269*t**2 - 22147*t**2 - 174*t - 3*t**5 + 44587*t**2 - 171*t**4 = 0. What is t?
-58, -1, 0, 1
Let p(s) be the second derivative of 0*s**2 + 1/45*s**6 - 1/60*s**5 - 1/18*s**4 + 0 + 1/12*s**3 + 21*s - 1/252*s**7. Suppose p(h) = 0. What is h?
-1, 0, 1, 3
Factor -10*z**2 + 11/4*z + 0.
-z*(40*z - 11)/4
Let w(q) = q**3 + 15*q**2 + 25*q - 15. Let o be w(-11). Let a = -194 + o. Find t, given that a - 6/5*t - 8/5*t**2 - 2/5*t**3 = 0.
-3, -1, 0
Let j be (-7260)/(-3465) - ((-492)/126 + -1 + 5). Factor -8/3 - 22/3*l**j - 16*l.
-2*(l + 2)*(11*l + 2)/3
Let x(t) be the first derivative of 1/14*t**4 - 8/7*t**2 - 2/21*t**3 + 24/7*t - 47. Let x(f) = 0. What is f?
-3, 2
Let z(f) be the third derivative of -f**6/900 - f**5/225 + 19*f**4/180 + 4*f**3/9 - 7*f**2 - 479*f. Factor z(x).
-2*(x - 4)*(x + 1)*(x + 5)/15
Let t(g) be the first derivative of -28*g**5/5 + 185*g**4 - 1424*g**3 - 4088*g**2 - 3136*g - 265. Let t(f) = 0. Calculate f.
-1, -4/7, 14
Suppose -3*t = t + 2*b - 470, 2*b = -t + 113. Let n = -49 + t. Factor 3*d**3 - 38*d - 36*d**2 + 76*d + n*d.
3*d*(d - 6)**2
Let q(h) be the first derivative of -h**4/78 - 5*h**3/39 - 136*h + 119. Let n(t) be the first derivative of q(t). Suppose n(c) = 0. What is c?
-5, 0
Let w(j) = 2*j**3 + 60*j**2 + j - 39. Let t(f) = 5*f**3 + 178*f**2 + 3*f - 122. Let h(v) = -3*t(v) + 8*w(v). Factor h(b).
(b - 54)*(b - 1)*(b + 1)
Let m(a) = 14*a + 72. Let g be m(-5). Let q be 165 + g + 1 + -7 - 1. Solve 3335/2*t**3 + q*t + 845/2*t**5 - 2795/2*t**4 - 1685/2*t**2 - 10 = 0.
2/13, 1
Suppose -t = -11*t. Suppose b + 2*b + 2*q - 58 = t, -2*q - 50 = -3*b. Let -b*s**2 - 24 - 19*s**3 + 22*s**3 - 60*s + 24*s**3 = 0. Calculate s.
-2/3, 2
Let t(h) be the third derivative of -h**6/180 + h**5/6 - 3*h**4/4 - h**3/2 - 37*h**2. Let q(y) be the first derivative of t(y). Factor q(b).
-2*(b - 9)*(b - 1)
Let w = -211 + 2533/12. Let u(a) be the second derivative of 0 + w*a**3 - 1/32*a**4 - 4*a + 1/4*a**2 + 1/240*a**6 - 1/80*a**5. Factor u(j).
(j - 2)**2*(j + 1)**2/8
Factor 1080/7*k - 96 + 138/7*k**3 - 612/7*k**2 - 9/7*k**4.
-3*(k - 2)**3*(3*k - 28)/7
Let b(r) be the third derivative of -5/48*r**4 + 1/60*r**5 + 0*r + 26 + 2*r**2 + 1/6*r**3. Factor b(l).
(l - 2)*(2*l - 1)/2
Let g be -13*(-24)/780*(-150)/(-120). Let 7/4*m - 1/4*m**5 + 2*m**2 - 1/2*m**4 + 1/2 + g*m**3 = 0. Calculate m.
-1, 2
Let 0 - 11*v**2 + 38/5*v - 3/5*v**3 = 0. What is v?
-19, 0, 2/3
Suppose 0 = -732*q + 164*q + 1704. Factor -1/2*f**q + 2*f**2 + 5/2*f + 0.
-f*(f - 5)*(f + 1)/2
Suppose -5*d = 2*o - 177, 2*o = 4*d - 2*o - 164. Let s = d - 33. Factor 5*g**s - 3*g**2 + 10*g**3 - 2*g**2 - 27*g + 17*g.
5*g*(g - 1)*(g + 1)*(g + 2)
Let l(z) = 23*z**4 - 2907 + 2*z**2 + 2909 + 3*z**4 - 2*z - 6*z**5. Let g(u) = -7*u**5 + 25*u**4 + 3*u**2 - 3*u + 3. Let s(j) = 2*g(j) - 3*l(j). Factor s(h).
4*h**4*(h - 7)
Suppose -1887 = 246*y - 2379. Factor 30*k - 235/3*k**y + 0 + 25/3*k**3.
5*k*(k - 9)*(5*k - 2)/3
Factor -2/23*k**2 - 20/23*k - 18/23.
-2*(k + 1)*(k + 9)/23
Factor -1/2*w**2 + 532 + 1063/2*w.
-(w - 1064)*(w + 1)/2
Factor -109*a**2 - 750*a - 44*a**3 - 10*a**2 + 614*a**2 - 10*a**3 - 3*a**4.
-3*a*(a - 5)*(a - 2)*(a + 25)
Let f(l) be the first derivative of -l**4/4 + 2*l**3/3 + 64*l - 97. Let g(x) be the first derivative of f(x). Solve g(i) = 0.
0, 4/3
Let f(s) be the second derivative of -1/2*s**5 + 20/3*s**3 + 1/3*s**4 + s + 1/15*s**6 - 22 - 24*s**2. Solve f(l) = 0.
-2, 2, 3
Let y(i) be the second derivative of 2 - i**3 + 18*i - 1/2*i**4 - 1/10*i**5 - i**2. Factor y(o).
-2*(o + 1)**3
Suppose -5*l**5 + 758*l**2 - 393*l**2 - 30*l**4 - 395*l**2 - 55*l**3 = 0. Calculate l.
-3, -2, -1, 0
Let z(c) be the second derivative of -16*c**3 + 44*c - 1/90*c**5 + 2/3*c**4 + 192*c**2 + 0. Solve z(b) = 0.
12
Suppose 0*s - 568135 + 568009 + 3*s**2 + 3*s = 0. Calculate s.
-7, 6
Let f(k) = -21*k**3 - 39*k**2 + 60*k - 9. Let r(c) be the second derivative of -c**5/10 + c**4/6 - c**2/2 + 2*c + 7. Let j(o) = -f(o) + 9*r(o). Factor j(d).
3*d*(d - 1)*(d + 20)
Suppose 2*z + b = 1, -z = -b + 2*b + 1. Let 4*j**4 + 20*j + 33*j + 100 + 50*j + 57*j + 24*j**z - 32*j**3 = 0. What is j?
-1, 5
Suppose -25*x + 540 = -335. Suppose v - 4*w - 21 = -2*v, 0 = -5*v - w + x. Factor v*k + 1/3*k**3 - 6 - 8/3*k**2.
(k - 3)**2*(k - 2)/3
Let b(z) be the third derivative of 0*z - 43*z**2 + 1/45*z**5 + 1/540*z**6 + 0 + 5/108*z**4 + 0*z**3. Factor b(t).
2*t*(t + 1)*(t + 5)/9
Suppose -2*u - 2*g = -8, -2*g + 7*g - 14 = -3*u. Suppose -u*a = -8 - 1. Find d, given that -d + 2*d**a + 2 + 2*d**2 - 2 - d - 2*d**4 = 0.
-1, 0, 1
Let h = -145 - -153. Factor -8*g - 860*g**3 + g**4 + h - 14*g + 21*g**2 + 852*g**3.
(g - 4)*(g - 2)*(g - 1)**2
What is w in 12*w**4 - 162*w**2 - 243 - 316*w**5 + 405*w + 9*w**4 - 44*w**3 + 26*w**3 + 313*w**5 = 0?
-3, 1, 3
Let i(f) be the second derivative of f**4 - 35*f**3/3 - 19*f**2 - 779*f + 2. Factor i(g).
2*(2*g + 1)*(3*g - 19)
Let h be (4 + -51 - 0)/1. Let q = h + 51. Suppose -3*j**q - 9*j**4 - 75*j**3 - 15*j + 10 - 80*j**2 - 8*j**4 = 0. What is j?
-2, -1, 1/4
Let v(p) be the third derivative of -p**5/120 + 3*p**4/4 - 80*p**3/3 + 27*p**2 + 14. Factor v(g).
-(g - 20)*(g - 16)/2
Factor -83*k - 94*k**3 - 110*k**2 - 2*k**5 - 35*k**4 - 3*k**5 + 18*k - 491 + 476 + 4*k**3.
-5*(k + 1)**4*(k + 3)
Let t(a) be the first derivative of -a**4/18 - 116*a**3/27 + 61*a**2/9 + 236*a/9 - 10270. Solve t(z) = 0 for z.
-59, -1, 2
Let y be 2 + 1*6*(-8)/24. Let v be 3 + 2 + (y - (-16)/(-4)). Factor v + 18*f**4 - 45*f**3 + 33*f**2 - 29/3*f.
(2*f - 3)*(3*f - 1)**3/3
Let m(n) be the first derivative of 0*n + 136 + 23/2*n**2 + 1/3*n**3. Solve m(r) = 0.
-23, 0
Let h = 217 - 206. Factor -61*l**3 + 13*l**4 - 2*l**4 - 160 + 6*l**3 + 9*l - 6*l**4 + h*l + 120*l**2.
5*(l - 8)*(l - 2)**2*(l + 1)
Let y(a) be the first derivative of 3*a**4/16 - 57*a**3/4 + 1155*a**2/4 + 1465. Factor y(d).
3*d*(d - 35)*(d - 22)/4
Let l be (-1)/(13/(-2) - 0). Let b = -139729 - -139732. Suppose -10/13*o**2 + l*o**b - 8/13 + 16/13*o = 0. What is o?
1, 2
Let p = -317098/193 + 1643. Let t = p + 2697/965. Solve -6*o + 18/5 + t*o**2 - 2/5*o**3 = 0.
1, 3
Let y(o) = o**2 + 12*o + 2. Let d be y(-12). Suppose -24*s - 13*s**2 + 30*s**d - 13*s**2 = 0. Calculate s.
0, 6
Let o(p) = 3*p - 47. Let y be o(15). Let d be (-75)/(-40) - y/16. Determine b so that -6 - 9*b + 0*b**3 + 21*b - 4*b**d + 10 - 12*b**3 = 0.
-1, -1/3, 1
Let d(a) be the first derivative of -a**4/28 - 34*a**3/21 + 71*a**2/14 - 36*a/7 + 583. Let d(c) = 0. Calculate c.
-36, 1
Let k(v) = 430*v**2 + 61265*v + 235. Let z(p) = -11*p**2 - 1571*p - 6. Let h(t) = 6*k(t) + 235*z(t). Factor h(q).
-5*q*(q + 319)
Let n be (224/12)/7 + (-2)/(-6). Let g = 28 + -19. Solve -6*w**3 - 12*w**2 - 6*w**3 + 0*w**4 + g*w**4 + 0*w**n = 0.
-2/3, 0, 2
Let o(v) be the first derivative of -v**4 + 508*v**3/3 - 8432*v**2 + 46128*v + 2362. Suppose o(j) = 0. What is j?
3, 62
Suppose 2 = p + 2*k - 98, -3*p - k = -295. Let a = 100 - p. Factor -d**3 + 4*d - 5 + 3*d**2 + 3 + a.
-d*(d - 4)*(d + 1)
Let v(h) be the first derivative of -h**4/66 + 7*h**3/33 + 18*h**2/11 - 118*h + 52. Let g(k) be the first derivative of v(k). Factor g(a).
-2*(a - 9)*(a + 2)/11
Suppose 4*n + 24 = -o, -2*n + 4 = 8. Let i be (-105 - -109)*(-6)/o. Determine j so that -3*j + 3/2*j**2 + i = 0.
1
Let u(v) be the third derivative of -v**6/24 + 7*v**5/12 - 35*v**4/24 - 25*v**3/2 + 1982*v**2. Solve u(k) = 0 for k.
-1, 3, 5
Let b = -124232 + 124430. Factor 12*z + 2/11*z**2 + b.
2*(z + 33)**2/11
Suppose -5*i + 4*c + 18 = 0, -27*i + c + 6 = -25*i. Let -22*x**3 - 6*x**4 + 7*x**4 - 22*x - 4*x**3 - 38*x**i - 3*x**4 - 4 - 4*x**4 = 0. What is x?
-2, -1, -1/3
Let y(l) be the first derivative of -2*l**5/25 - 11*l**4/5 - 64*l**3/5 - 3865. Factor y(t).
-2*t**2*(t + 6)*(t + 16)/5
Let w be -5 + 5 + -1 + 54/5712. Let d = 16/119 - w. Solve 9/8*g**2 - 3/8*g - d*g**3 + 3/8*g**4 + 0 = 0.
0, 1
Let g(k) be the third derivative of k**5/480 - 301*k**4/48 + 2*k**2 + 556*k. Let g(i) = 0. Calculate i.
0, 1204
Let c(d) be the second derivative of 28 - 2/15*d**4 + 1/105*d**7 - 3/25*d**5 - 6/5*d**2 - 3*d + 13/15*d**3 + 2/75*d**6. Factor c(i).
2*(i - 1)**3*(i + 2)*(i + 3)/5
Let u = -712 - -2865/4. Let k(v) be the second derivative of 0 - 27/10*v**5 + 18*v 