**4 + 8976/5*m**2 + 9248/5*m.
2*m*(m - 68)**2*(m + 1)/5
Let p(h) be the second derivative of 3*h**5/10 + h**4/3 - 19*h**3/3 + 6*h**2 - 8013*h. Factor p(w).
2*(w - 2)*(w + 3)*(3*w - 1)
Let d(a) be the first derivative of -a**7/5040 + a**6/540 + a**5/144 + 4*a**3/3 - 63. Let v(w) be the third derivative of d(w). Find m, given that v(m) = 0.
-1, 0, 5
Let d(k) be the second derivative of 0 - 9*k + 1/12*k**4 + 0*k**2 + 1/6*k**3. Let t(g) = -8*g**2 + 7*g - 5. Let x(n) = -3*d(n) - t(n). Factor x(b).
5*(b - 1)**2
Let o = -28265/6 - -4711. Let h(c) be the second derivative of 0 + o*c**4 + 0*c**3 - 1/3*c**2 - 4*c + 1/15*c**5. Factor h(p).
2*(p + 1)**2*(2*p - 1)/3
Let y(v) = v - 2. Let h be y(8). Let x(j) = -j**3 + 6*j**2 + 2*j + 4. Let b be x(h). Suppose -26 - b*f**2 + 155*f**3 + 98 - 151*f**3 - 12*f = 0. Calculate f.
-2, 3
Suppose 148 - 57*s - 170*s**2 + 168*s**2 - 89*s = 0. Calculate s.
-74, 1
Suppose -p = -s + 25, -4*s + 84 = -4*p - 8*s. Let i be p/46 - (-1)/2. Factor i*c + 0 - 3/2*c**2.
-3*c**2/2
Let r = -7472 + 7475. Let o(x) be the second derivative of -10*x + 0*x**2 + 0 + 0*x**r + 3/20*x**5 + 1/4*x**4. What is j in o(j) = 0?
-1, 0
Let g(m) be the first derivative of -m**4/7 + 190*m**3/21 - 46*m**2/7 - 94*m/7 + 855. Find p, given that g(p) = 0.
-1/2, 1, 47
Factor 264*r**3 + 3*r**4 - 2*r**4 - 118*r + 50*r**3 + 118*r.
r**3*(r + 314)
Let o(x) = 7*x**4 + 94*x**3 + 355*x**2 - 2239*x - 12800. Let k(s) = 2*s**4 - s**3 - 5*s**2 + s. Let l(w) = k(w) - o(w). Solve l(i) = 0 for i.
-8, 5
Let b be (-4)/(-2)*(4 - -16). Let w = b + -38. Let -3*z**3 + 15*z**2 + 2*z**3 - 6*z**2 - 6*z**w - 2*z = 0. What is z?
0, 1, 2
Suppose -5*c = -4*g - 1 - 7, -c - g - 2 = 0. Suppose 10 = -c*a + 3*a + 2*w, -4*a + 2*w + 18 = 0. Factor -1/4*r**a + 3/2*r**3 + 3/2*r + 0 - 11/4*r**2.
-r*(r - 3)*(r - 2)*(r - 1)/4
Suppose 0 = 29*u - 27*u - 18. Suppose 0 = -8*c + u*c - 0*c. Factor c*i**4 + 2/3*i**2 + 0 - i**3 + 0*i + 1/3*i**5.
i**2*(i - 1)**2*(i + 2)/3
Let j(s) = 6*s - 4. Let k(u) = -6*u - 53. Let t be k(-9). Let q be j(t). Factor -6*d**4 + 9*d**2 + 4*d - 2*d**4 + 3*d**q + 4*d**4 - 4*d**3 - 8.
-4*(d - 1)**2*(d + 1)*(d + 2)
Let w be (0 + 9 + 389)/(0 + -1). Let b = w + 1196/3. What is d in b*d + 4/9 - 2/9*d**3 + 0*d**2 = 0?
-1, 2
Let d be (9/12)/(16/(129 - 1)). Let k(l) be the second derivative of 0 + 0*l**2 + 3/5*l**5 + 0*l**3 + 2*l + 0*l**4 + 4/15*l**d - 2/21*l**7. Factor k(t).
-4*t**3*(t - 3)*(t + 1)
Suppose 47*m + 2*d - 18 = 45*m, 2*m - 14 = -d. Suppose 0 = 4*a - 100. Let 46*w**m - 37*w**5 - 24*w**4 - 9*w**3 - w**2 - a*w**5 = 0. What is w?
-1, -1/4, 0
Let p(s) be the third derivative of -s**8/252 + 46*s**7/105 - 43*s**6/15 - 142*s**5/45 + 257*s**4/6 + 130*s**3 + 5*s**2 - 134. What is c in p(c) = 0?
-1, 3, 65
Let w(x) be the second derivative of x**5/70 - x**4/14 - 3*x**3/7 - 65*x**2/2 - 136*x. Let l(a) be the first derivative of w(a). What is j in l(j) = 0?
-1, 3
Suppose -6*m + 416*j = 420*j + 64, 0 = 4*m - j - 16. Factor 6*g - 9/4*g**2 - 3/8*g**3 + m.
-3*g*(g - 2)*(g + 8)/8
Suppose -1 = b + 2*d, -19*b = -15*b - 3*d - 29. Find o such that -51*o**5 - 40*o**2 - 36*o**3 - 16*o - 48*o**5 + 0*o**4 + 97*o**b - 14*o**4 = 0.
-2, -1, 0
Let g(y) be the first derivative of 3*y**5/5 + 498*y**4 - 665*y**3 - 6977. Factor g(d).
3*d**2*(d - 1)*(d + 665)
Let n(v) be the second derivative of -63*v - 8/15*v**4 + 32/5*v**2 + 11/25*v**5 + 4/75*v**6 - 1 - 8/3*v**3 - 2/105*v**7. Solve n(h) = 0.
-2, 1, 4
Let y(u) be the third derivative of -u**7/350 + 11*u**6/200 + u**5/4 + 13*u**4/40 - 12*u**2 + 10. Factor y(k).
-3*k*(k - 13)*(k + 1)**2/5
Let i = -5831 - -5837. Let a(o) be the first derivative of 21 + 0*o + i*o**2 + 4/3*o**3. Determine m so that a(m) = 0.
-3, 0
Let i = -619 + 621. Suppose 11*s = 10*s + i. Determine o so that 0 + 2/5*o - 2/15*o**s = 0.
0, 3
Let v = -21 - 24. Let i = 45 + v. Factor i*s**4 + s**4 - 49*s**3 + 51*s**3 + s**2.
s**2*(s + 1)**2
Let r(a) = -5*a**2 + 21*a - 27. Let g(p) = 2*p**2 - 10*p + 13. Let b(t) = 7*g(t) + 3*r(t). Let m be b(-8). Factor -2 - 99*l**2 - 3 + 90*l - 306*l**m.
-5*(9*l - 1)**2
Let m(s) be the third derivative of s**7/42 + 55*s**6/24 + 9*s**5/2 - 563*s**2. What is w in m(w) = 0?
-54, -1, 0
Let c(d) be the second derivative of 0*d**2 + 0 + 20/3*d**3 + 1/6*d**4 + 91*d. Factor c(n).
2*n*(n + 20)
Let q(d) = -6*d**2 - 260*d + 178. Let o be q(-44). Let x(k) be the second derivative of 0 - 17*k + 0*k**o + 0*k**3 - 1/84*k**4. Let x(j) = 0. What is j?
0
Let o be (39/(-60))/(5 - 12426/2470). Factor -13/4*s + o + 1/8*s**2.
(s - 13)**2/8
Let s(z) be the third derivative of -11/20*z**5 - 1/40*z**6 + 37*z**2 + 0 - 45/2*z**3 - 39/8*z**4 + z. Let s(w) = 0. Calculate w.
-5, -3
Let z(q) be the third derivative of 0*q - 1/630*q**7 - 1/30*q**5 - 1/18*q**3 - 1/18*q**4 - 1/90*q**6 + 0 + 26*q**2. Suppose z(x) = 0. What is x?
-1
What is d in 0 - 10/7*d**4 + 0*d + 12/7*d**2 + 2/7*d**3 = 0?
-1, 0, 6/5
Let d = 11478 + -11478. Let q(r) be the third derivative of 0*r**4 + 12*r**2 + 0*r**3 + 3/40*r**6 + d + 0*r - 1/10*r**5 - 1/70*r**7. Let q(v) = 0. What is v?
0, 1, 2
Let u(i) = -18*i**3 - 127*i**2 - 16*i - 58. Let z be u(-7). Factor 2*d**4 - 8/3 - 8*d + 2/3*d**z - 22/3*d**2 - 2/3*d**3.
2*(d - 2)*(d + 1)**3*(d + 2)/3
Let m(t) be the first derivative of -4/3*t**3 + 310 + 120*t - 14*t**2. Suppose m(l) = 0. What is l?
-10, 3
Let j(u) be the second derivative of -u**4/30 - 457*u**3/15 + 276*u**2 + 3*u + 1199. Factor j(n).
-2*(n - 3)*(n + 460)/5
Determine h, given that 534/11*h**3 + 2/11*h**5 + 74/11*h**4 + 854/11*h**2 + 0 + 392/11*h = 0.
-28, -7, -1, 0
Factor x**3 - 1010*x - 896 - x**3 + 8*x**3 - 112*x**2 - x**3 - 5*x**3.
2*(x - 64)*(x + 1)*(x + 7)
Find f, given that -3*f**2 + 7435*f + 3834*f - 3475*f - 5062203 = 0.
1299
Suppose -3/7*z**2 - 15/7 - 18/7*z = 0. Calculate z.
-5, -1
Suppose 0*i - 18 = -9*i. Suppose 3*y + 0 + 1 = 5*b, 5*y - 11 = i*b. Suppose -4*l**3 - 99*l**b + 99*l**2 + 4*l**4 + 12*l**3 = 0. What is l?
-2, 0
Let p(k) = -2*k**4 - k**3 - 4*k**2 - 2. Let t(r) = -5*r**4 - 246*r**3 + 839*r**2 - 612*r - 316. Let s(d) = -4*p(d) + t(d). Determine c so that s(c) = 0.
-1/3, 2, 77
Let u(a) = -a**2 + 157*a + 25349. Let y be u(-99). Factor -2/7*k**y + 8/7*k**2 - 10/7*k**4 + 16/7*k - 12/7*k**3 + 0.
-2*k*(k - 1)*(k + 2)**3/7
Let 70867*s**3 - 151317*s**3 - 16792*s**2 - 6720*s + 70390*s**3 + 12*s**4 = 0. Calculate s.
-1, -2/3, 0, 840
Let u(h) be the second derivative of -31*h - 2/75*h**5 + 0*h**2 - 1/225*h**6 + 4/45*h**3 + 0 + 1/90*h**4. Suppose u(q) = 0. What is q?
-4, -1, 0, 1
Factor 58/11*o**2 - 240/11*o + 0 - 2/11*o**3.
-2*o*(o - 24)*(o - 5)/11
Let d(o) = -43*o**3 + 156*o**2 + 1211*o + 2868. Let m(j) = 49*j**3 - 158*j**2 - 1213*j - 2869. Let h(b) = 9*d(b) + 8*m(b). Suppose h(t) = 0. What is t?
-13, -11, -4
Let u(q) be the second derivative of q**7/21 + q**6/5 - q**5/2 - q**4/2 + 4*q**3/3 - 1075*q. Factor u(h).
2*h*(h - 1)**2*(h + 1)*(h + 4)
Let j(n) be the second derivative of -n**8/33600 - n**7/2520 - 20*n**4/3 + n - 38. Let z(x) be the third derivative of j(x). Suppose z(r) = 0. Calculate r.
-5, 0
Let u(v) = 3*v**3 - 2*v**2 + 2*v. Let t be u(-2). Let c be (-45)/t - 3/(-4). Solve -4*o**c + 6*o + 3*o - 5*o - o**3 + o**4 = 0.
-2, 0, 1, 2
Let q(z) be the first derivative of z**4/8 + 85*z**3/6 + 28*z**2 - 238*z - 237. Let v(t) be the first derivative of q(t). Factor v(u).
(u + 56)*(3*u + 2)/2
Suppose -2*x + 27 = 7*x. Suppose 2*v + i = -2*v + 696, -163 = -v - x*i. Factor -4 + 4*c**2 + v*c - 175*c.
4*(c - 1)*(c + 1)
Let a(l) be the third derivative of l**7/3360 + l**6/120 + 3*l**5/40 - 5*l**4/8 + l**2 + 13*l. Let t(r) be the second derivative of a(r). Factor t(d).
3*(d + 2)*(d + 6)/4
Let k be 6 + (-56)/10 - 16/(-10). Let h = 6 - 4. Factor f**2 + 9*f**k - 30 - 4*f**2 - f**h + 5*f.
5*(f - 2)*(f + 3)
Let u(q) be the second derivative of 2*q**7/21 - 236*q**6/15 + 764*q**5 - 20168*q**4/3 + 77056*q**3/3 - 50176*q**2 - 2*q - 150. Let u(n) = 0. Calculate n.
2, 56
Let 2904050/17 + 4820/17*a + 2/17*a**2 = 0. Calculate a.
-1205
Let g(h) = -h**2 + 7. Let t be g(0). Let z = -7 + t. Solve z + 6*q**3 - 7*q**5 - 11/2*q**2 + 11/2*q**4 + q = 0 for q.
-1, 0, 2/7, 1/2, 1
Factor 2*y**4 + 132*y - 182*y + 10*y**5 - 15 + 14*y**2 + 23*y**4 - 38*y**2 - 26*y**2.
5*(y + 1)**4*(2*y - 3)
Let p(v) be the second derivative of 0*v**2 -