4*v**4 - 342*v = 0. What is v?
-38, -3, 0, 2/5, 2/3
Determine j so that -1276*j - 1/3*j**2 - 1221132 = 0.
-1914
Let j(d) = -18*d - 1417. Let h be j(-79). Let q(b) be the first derivative of h*b + 5/2*b**2 - 5/2*b**4 - 10/3*b**3 + 5/6*b**6 + 10 + b**5. Factor q(v).
5*(v - 1)**2*(v + 1)**3
Let k(l) be the first derivative of -18*l**4 - 139 + 17*l**4 + l**3 + 3*l**3 + 76 - 117. Factor k(j).
-4*j**2*(j - 3)
Let q(y) be the second derivative of y**6/10 + 81*y**5/4 + 131*y**4 - 5594*y. Factor q(h).
3*h**2*(h + 4)*(h + 131)
Let p be 12240/(-216) - -58 - (1 - 3/2). Let m(v) be the third derivative of 0 + 0*v - p*v**4 - 4*v**3 - 1/30*v**6 + 21*v**2 - 2/5*v**5. What is y in m(y) = 0?
-3, -2, -1
Let q(s) be the second derivative of -9/20*s**5 - 5/18*s**4 + 7 - 1/18*s**6 + 4*s + 0*s**3 + 0*s**2. Factor q(p).
-p**2*(p + 5)*(5*p + 2)/3
Let a(z) = -z**3 - 2*z**2 + 5*z + 9. Let f be a(-3). Let w(r) be the third derivative of -25/24*r**4 + 0 + 0*r - 1/12*r**5 + 7*r**2 - 5*r**f. Factor w(v).
-5*(v + 2)*(v + 3)
Let j(o) be the second derivative of -o**4/28 - 171*o**3/14 + 258*o**2/7 - 7*o. Factor j(v).
-3*(v - 1)*(v + 172)/7
Let k = 700 + -439. Let i = -1823/7 + k. Factor -2/7*n**2 + 4/7*n - i*n**3 + 2/7*n**4 + 0.
2*n*(n - 2)*(n - 1)*(n + 1)/7
Let q(h) be the second derivative of -22*h**3 - 1/4*h**4 + 0 - 51*h - 726*h**2. Factor q(v).
-3*(v + 22)**2
Let c(b) = b**2 - 2*b + 7. Let r(a) = -32911*a**2 - 2*a + 32917*a**2 + 37 - 8*a. Let h(z) = 11*c(z) - 2*r(z). Factor h(f).
-(f - 1)*(f + 3)
Let z(a) be the second derivative of 3*a**5/100 - 131*a**4/20 + 64*a**3/5 + 78*a**2 + 5522*a. Factor z(y).
3*(y - 130)*(y - 2)*(y + 1)/5
Let v(k) be the third derivative of 1/540*k**6 + 1 + 2/9*k**4 + 17*k**2 + 0*k + 11/270*k**5 - 4/3*k**3. Let v(r) = 0. What is r?
-6, 1
Let q(v) be the first derivative of -9*v**6/4 + 1557*v**5/10 + 2139*v**4/8 - 283*v**3/2 - 528*v**2 - 354*v - 153. Determine c, given that q(c) = 0.
-1, -2/3, 1, 59
Let -83/3*r**3 + 251/3*r - 1/3*r**4 + r**2 + 166/3 = 0. What is r?
-83, -1, 2
What is q in -18/5*q**2 + 0 + 0*q - 18/5*q**3 - 4/5*q**4 = 0?
-3, -3/2, 0
Find f, given that -960/17*f - 84/17*f**3 + 2/17*f**4 + 944/17*f**2 - 6400/17 = 0.
-2, 4, 20
Determine v so that -256/7 + 10/7*v**4 - 116/7*v**3 + 432/7*v**2 - 64*v = 0.
-2/5, 4
Let x be (-2)/3 + (-1306)/(-6). Find b such that 326*b - 184*b + 5*b**2 - x*b - 80 = 0.
-1, 16
Let m(h) = 5*h**2 + 426*h + 1201. Let f(q) = -10*q**2 - 855*q - 2395. Let t(a) = 2*f(a) + 5*m(a). Factor t(b).
5*(b + 3)*(b + 81)
Let h(k) = -3*k**4 - 2*k**3 + k + 1. Let i(n) = 17*n**4 + 8*n**3 - 86*n**2 - 3*n + 79. Let u(r) = 10*h(r) + 2*i(r). Find y, given that u(y) = 0.
-6, -1, 1, 7
Let m(j) be the first derivative of 2*j**3/9 + 22*j**2 - 1694*j/3 - 7222. Factor m(n).
2*(n - 11)*(n + 77)/3
Let d(p) be the third derivative of 1/160*p**6 + 0*p - 13/480*p**5 + 1/16*p**4 - 1/1680*p**7 + 42*p**2 - 1/12*p**3 + 0. Find o, given that d(o) = 0.
1, 2
Factor 63/5 + 5*z + 2/5*z**2.
(z + 9)*(2*z + 7)/5
Let v(s) = -5*s**2 - 7*s - 26. Let h(x) = -4*x**2 - 6*x - 15. Let d(z) = -4*h(z) + 3*v(z). Solve d(t) = 0.
-6, 3
Suppose 0 = 9*s - 3*d - 54, 8*d = 5*s + 9*d - 22. Let -4*v**3 + 0 + 0*v**4 - 16/3*v**2 + 0*v + 1/3*v**s = 0. Calculate v.
-2, 0, 4
Let c(p) be the first derivative of 25 + 1/12*p**5 + 0*p - 5/24*p**4 + 0*p**3 + 41/2*p**2. Let y(x) be the second derivative of c(x). Factor y(o).
5*o*(o - 1)
Let u(l) be the second derivative of 107*l + 0 - 9/8*l**4 - 729/4*l**2 + 1/40*l**5 + 81/4*l**3. What is c in u(c) = 0?
9
Let o(a) be the first derivative of 78 + 0*a**2 + 0*a + 4/27*a**3 - 1/6*a**4 + 0*a**5 + 1/27*a**6. What is v in o(v) = 0?
-2, 0, 1
Let m(k) be the third derivative of -k**7/840 + 9*k**6/160 + k**5/80 - 83*k**4/96 + 9*k**3/4 + 3319*k**2. Factor m(x).
-(x - 27)*(x - 1)**2*(x + 2)/4
Suppose -5*m + 0*n = -2*n, -m - 5*n + 27 = 0. Suppose -2*i + 13 = -3*d - 0, -2*d = m*i + 2. Factor 6/5*q - 4/5 - 2/5*q**3 + 0*q**i.
-2*(q - 1)**2*(q + 2)/5
Let n = 120042 - 600122/5. Let n*b + 968/5 + 2/5*b**2 = 0. Calculate b.
-22
Let z(o) be the third derivative of -1/15*o**5 + 2/105*o**7 + 0*o**3 + 1/336*o**8 + 0*o**4 + 50*o**2 - 1/120*o**6 + 0 + 0*o. Factor z(k).
k**2*(k - 1)*(k + 1)*(k + 4)
Suppose -36 = 4*m, -1521*m + 1524*m + 27 = 2*b. Factor -2/5*r**4 - 32/5*r + 32/5 + 8/5*r**3 + b*r**2.
-2*(r - 2)**3*(r + 2)/5
Suppose -2*i - 35 + 65 = 2*h, -6 = -i + 2*h. Let b be (-472)/177*(-9)/i. Factor 6/13*g**b - 6/13*g**3 + 2/13*g**4 + 0 - 2/13*g.
2*g*(g - 1)**3/13
Let 0 + 192/19*d**2 - 16/19*d**4 + 288/19*d - 16/19*d**3 + 2/19*d**5 = 0. What is d?
-2, 0, 6
Factor -27*m**4 + 0 + 0*m**2 - 486*m**3 - 3/8*m**5 + 0*m.
-3*m**3*(m + 36)**2/8
Suppose 3*f + 6 - 203 = -5*m, 0 = 4*f + 4*m - 252. Suppose -67 = -l - f. Factor -6*c - 29*c**3 + 46*c**3 - 19*c**3 + l*c**2.
-2*c*(c - 3)*(c - 1)
Let k(n) be the third derivative of 7/48*n**4 + 0 + 2/3*n**3 - 185*n**2 + 0*n - 1/120*n**5. Factor k(m).
-(m - 8)*(m + 1)/2
Solve 99/2*a - 15/8*a**2 - 39/2 = 0 for a.
2/5, 26
Let s = 30143 + -30140. Suppose -4 - 14 = -3*q. What is w in -q*w**2 + 1/2*w**s + 0 + 18*w = 0?
0, 6
Let c(v) = v**2 + 11*v + 45. Let x be c(-7). Solve -11*j**2 + 20*j**2 - 5*j**2 + 16*j - 1 + x = 0.
-2
Let -48*o**2 - 1/2*o**4 + 90*o + 17/2*o**3 + 0 = 0. What is o?
0, 5, 6
Let p(u) = 25*u**3 - 19*u**2 - 44*u - 12. Let f = 308 - 304. Let d(y) = 99*y**3 - 75*y**2 - 177*y - 48. Let k(a) = f*d(a) - 15*p(a). Factor k(q).
3*(q - 2)*(q + 1)*(7*q + 2)
Suppose -16*c - 4*c - 33*c + 100 = -28*c. Solve 0*j + 0 - 1/2*j**2 + 1/4*j**3 + 1/2*j**c - 1/4*j**5 = 0.
-1, 0, 1, 2
Let t(j) be the first derivative of -4/15*j**3 + 0*j**2 - 1/10*j**4 + 0*j - 26. Find h such that t(h) = 0.
-2, 0
Let r(d) = -321*d**2 + 2648*d + 583443. Let y(h) = 1125*h**2 - 7945*h - 1750329. Let b(v) = 7*r(v) + 2*y(v). Suppose b(k) = 0. Calculate k.
-441
Let s = 260 - 316. Let x be 21/s + 60/32 + 0. Factor 288*d + 36*d**2 + x*d**3 + 768.
3*(d + 8)**3/2
Let r(b) = 41*b + 540. Let p be r(-13). Let a(w) = -2*w - 7 + 26*w + 13*w + 15*w**2. Let y(m) = -10*m**2 - 25*m + 5. Let l(x) = p*y(x) + 5*a(x). Factor l(g).
5*g*(g + 2)
Determine u so that 2*u**3 - 150*u**2 - 66*u - 202*u - 16*u**2 + 100*u = 0.
-1, 0, 84
Solve 2/7*q**4 - 24/7*q**3 + 68/7*q**2 + 24/7*q - 10 = 0 for q.
-1, 1, 5, 7
Suppose 0 = -4*g - c + 10, -5*c - 34 = 2*g - 3*g. Let t(y) be the first derivative of 13 - 3*y - 4*y**2 - 22/9*y**3 - 2/3*y**g - 1/15*y**5. Factor t(z).
-(z + 1)**2*(z + 3)**2/3
Let p(m) be the third derivative of -m**8/1680 - m**7/210 - m**6/120 - 5*m**3/2 - 36*m**2. Let a(x) be the first derivative of p(x). Factor a(i).
-i**2*(i + 1)*(i + 3)
Factor 0 + 118/15*w**3 + 2/3*w**4 + 0*w - 8/5*w**2.
2*w**2*(w + 12)*(5*w - 1)/15
Let y = -117 + 119. Let 71*r + 7*r**y + 68*r - 140*r - 6*r**2 = 0. What is r?
0, 1
Suppose 5*q + 3232 = -0*c + 2*c, 8063 = 5*c - 4*q. Solve 5*b**3 + c*b**2 + 5*b**5 - 40*b**4 - 1721*b**2 + 100*b**3 + 40*b = 0.
0, 1, 2, 4
Factor 69*k**2 - 40*k**3 - 54*k**3 - 91*k**4 - 18*k**2 + 94*k**4 - 20*k**2.
k**2*(k - 31)*(3*k - 1)
Let q(u) be the second derivative of 17/2*u**2 + 0 + 1/300*u**5 + 0*u**3 - 1/60*u**4 - 41*u + 1/600*u**6. Let d(j) be the first derivative of q(j). Factor d(c).
c*(c - 1)*(c + 2)/5
Let p(t) be the third derivative of t**7/1470 + 3*t**6/70 - 127*t**5/140 + 265*t**4/42 - 150*t**3/7 - 1351*t**2 - 1. Suppose p(m) = 0. Calculate m.
-45, 2, 5
Factor 71*m**2 - 689*m - 5*m**2 - 735*m + 30 - 773*m + 2111*m - 10*m**3.
-2*(m - 5)*(m - 1)*(5*m - 3)
Let 352*d + 86*d**2 + 266 - 4*d**3 - 464*d**2 - 290 + 26*d**4 + 28*d**4 = 0. Calculate d.
-3, 2/27, 1, 2
Let d(s) be the first derivative of 25*s**6/8 - 49*s**5 + 55*s**4/16 + 65*s**3/6 + 480. Suppose d(m) = 0. What is m?
-1/3, 0, 2/5, 13
Let n = 9529384/335445 + -7072/321. Let i = n - -16/95. Determine b, given that i*b**2 + 24/11*b + 2/11 = 0.
-1/6
Find m such that -3/4*m - 423/2 + 423/2*m**2 + 3/4*m**3 = 0.
-282, -1, 1
Let i(j) be the second derivative of -j**5/160 - 953*j**4/96 - 462*j. Factor i(r).
-r**2*(r + 953)/8
Let u(d) be the third derivative of -d**5/30 + 9*d**4/4 - 42*d**3 - 498*d**2 - 3. Factor u(x).
-2*(x - 21)*(x - 6)
Factor -87*a - a**2 + 2*a - 116*a - 684 + 26*a.
-(a + 4)*(a + 171)
Let x(i) be the second derivative of -i**7/21 + 26*i**6/15 - 32*i**5/5 - 256*i**4 + 4363*i. Factor x(r).
-2*r**2*(r