 0*c**4 + 0*c + 0*c**3 - 5*c**2 + 1/12*c**s + 0. Solve x(v) = 0.
0
Determine a, given that -2604/5*a + 1695204/5 + 1/5*a**2 = 0.
1302
Let d(c) be the first derivative of -1/12*c**3 + 2*c**2 + 0*c - 207. Let d(l) = 0. What is l?
0, 16
Let s(d) = -d**4 + 6*d**3 - 4*d**2 - 8*d + 7. Let q(z) = -z**3 + z**2. Let a(i) = 2*q(i) - s(i). Suppose a(w) = 0. What is w?
-1, 1, 7
Let t(p) be the third derivative of 190*p**2 + 0*p + 0 - 2/7*p**3 + 3/140*p**5 - 1/14*p**4. Factor t(x).
3*(x - 2)*(3*x + 2)/7
Let n(u) be the second derivative of -5*u**7/252 + 59*u**6/36 + 31*u**5/3 + 35*u**4/2 - 1057*u + 1. Factor n(t).
-5*t**2*(t - 63)*(t + 2)**2/6
Let i(d) be the second derivative of -d**4/6 + 272*d**3 + 844*d. Let i(h) = 0. Calculate h.
0, 816
Let l(h) = h**2 - 47*h + 193. Let z(p) = 12*p**2 - 520*p + 2124. Let d(c) = -32*l(c) + 3*z(c). Determine s, given that d(s) = 0.
7
Let i be ((-35)/14)/(8/(-16)). Factor 9*t + 6*t**2 + t**3 + 4 + 3*t + 109*t**4 - 112*t**4 - t**i + 5*t**2.
-(t - 2)*(t + 1)**3*(t + 2)
Determine b so that 260/3*b**2 + 250/3 - 10*b**4 - 50/3*b**3 + 5/3*b**5 + 175*b = 0.
-2, -1, 5
Let t be ((-18)/(-2) - 16) + 64. Let o be (9/12)/(t/304). Factor -15/4*h**3 - 21/4*h + 3/2 + 27/4*h**2 + 3/4*h**o.
3*(h - 2)*(h - 1)**3/4
Let b(w) be the first derivative of 3*w**5/35 + 381*w**4/14 + 253*w**3/7 - 10600. Factor b(x).
3*x**2*(x + 1)*(x + 253)/7
Let -l**3 + 7*l**3 + 805*l**2 - 656*l**2 + 1359*l**2 + 1012 - 2526*l = 0. Calculate l.
-253, 2/3, 1
Suppose -2*g = -h - 3*h - 1290, -5*g = 5*h - 3195. Factor -5*c**2 - 1086 - 1918 + 270*c - g.
-5*(c - 27)**2
Let s(x) be the second derivative of -2*x**6/3 - 3*x**5/4 + 25*x**4 - 190*x**3/3 + 7*x + 187. Solve s(f) = 0 for f.
-19/4, 0, 2
Suppose 2/7*n**2 + 26/7*n + 72/7 = 0. What is n?
-9, -4
Let l(p) be the first derivative of 0*p + 47 - 1/2*p**2 + 0*p**3 + 1/16*p**4. Factor l(j).
j*(j - 2)*(j + 2)/4
Let m = 85 + -107. Let i(h) = -5*h**3 + 24*h**2 + 50*h - 69. Let f(z) = z**3 - 5*z**2 - 10*z + 14. Let j(a) = m*f(a) - 4*i(a). Factor j(r).
-2*(r - 8)*(r - 1)*(r + 2)
Let v = 10/129 - -347/516. Let f(a) be the first derivative of -7 + v*a**4 - 2*a**3 + 9/5*a**5 + 0*a + 0*a**2. Factor f(r).
3*r**2*(r + 1)*(3*r - 2)
Let w = -2125/94 + 14969/658. Factor 6/7*l + 8/7 + w*l**2.
(l + 2)*(l + 4)/7
Suppose -21*u = 3083 - 122. Let g be u/470*2/(-3). Factor -g*a**2 - 9/5*a + 0.
-a*(a + 9)/5
Factor -2345907 - 4508308 - 6456*i - 2*i**2 + 1644223.
-2*(i + 1614)**2
Let l(f) = -f**3 - 17*f**2 - 314*f - 2723. Let w be l(-11). Suppose -18/5 - 9/5*g + 28/5*g**3 - 3/5*g**w + 38/5*g**2 - 4/5*g**4 = 0. Calculate g.
-3, -1, 2/3, 3
Let v(u) = 63*u + 35. Let h be v(13). Suppose h*i - 4 = 852*i. Find a, given that 0 - 2/3*a - 2/3*a**3 + 4/3*a**i = 0.
0, 1
Factor -281 - 94353*r**2 - 304 + 228 - 1172*r + 94361*r**2 - 231.
4*(r - 147)*(2*r + 1)
Let d(v) be the second derivative of -v**7/280 - 7*v**6/120 - 3*v**5/8 - 9*v**4/8 - 3*v**3/2 + 4*v + 1. Let r(l) be the second derivative of d(l). Factor r(f).
-3*(f + 1)*(f + 3)**2
Let x(d) be the first derivative of 2*d**6/3 - 708*d**5/5 + 698*d**4 - 4168*d**3/3 + 1386*d**2 - 692*d + 1036. Factor x(u).
4*(u - 173)*(u - 1)**4
Let i(m) be the third derivative of 2*m**7/15 - 16*m**6/5 + 21*m**5 + 49*m**4/3 + 2183*m**2. Factor i(b).
4*b*(b - 7)**2*(7*b + 2)
Let j be 0/(-2) - 2 - (-198 + -3). Determine m, given that -22 + 62 + 10*m**3 + 5*m**4 - 10*m + 154*m**2 - j*m**2 = 0.
-4, -1, 1, 2
Let u(s) = 12*s**4 - 59*s**3 + 384*s**2 + 455*s + 5. Let f(k) = -5*k**4 + 30*k**3 - 193*k**2 - 228*k - 2. Let o(t) = 10*f(t) + 4*u(t). Solve o(j) = 0.
-1, 0, 10, 23
Let m(j) be the first derivative of j**4/6 + 2866*j**3/3 + 2053489*j**2 + 5885299474*j/3 + 4409. Factor m(t).
2*(t + 1433)**3/3
Suppose 0 = -4*l + 8*l. Let u(v) = -15503*v + 124027. Let q be u(8). Find h, given that 4/25*h**4 + l + 6/25*h**q - 8/25*h**2 - 2/25*h**5 - 8/25*h = 0.
-1, 0, 2
Let u(p) be the second derivative of 1 - p + 53/3*p**3 + 13/12*p**4 + 8*p**2. Let u(d) = 0. Calculate d.
-8, -2/13
Let n = -12226 + 61134/5. Determine v, given that 0 + n*v**4 - 8/5*v - 12/5*v**2 + 0*v**3 = 0.
-1, 0, 2
Factor -1/7*c**3 + 24/7 - 1/7*c**2 + 2*c.
-(c - 4)*(c + 2)*(c + 3)/7
Let -28*y**4 + 152*y**4 - 455*y**2 - 38*y**5 - 47*y**2 + 31*y**5 + 63*y**3 - 120*y - 314*y**3 = 0. Calculate y.
-1, -2/7, 0, 4, 15
Factor -1032/5*l + 88752/5 + 3/5*l**2.
3*(l - 172)**2/5
Let b(y) be the second derivative of -y**6/540 + y**5/90 + y**4/27 - 73*y**2/2 + 8*y. Let t(v) be the first derivative of b(v). Factor t(p).
-2*p*(p - 4)*(p + 1)/9
Let d(s) be the second derivative of -s**4/3 - 62*s**3/3 + 360*s**2 - 5*s - 162. Determine v, given that d(v) = 0.
-36, 5
Let u(a) be the third derivative of a**5/60 + a**4/12 - a**3/6 + 18*a**2. Let m be u(-4). What is z in -m*z - 5*z**4 - 15*z**2 + 4*z + 15*z**3 + 8*z = 0?
0, 1
Let t(i) be the first derivative of -i**4/6 - 328*i**3/9 - 108*i**2 - 1598. What is q in t(q) = 0?
-162, -2, 0
Determine g, given that -1555840/7*g + 3097600/7 - 2/7*g**3 + 3524/7*g**2 = 0.
2, 880
Let h be 4488/(-24684)*22/(-10). Factor -h*m - 3/5 + 1/5*m**2.
(m - 3)*(m + 1)/5
Let u(n) be the second derivative of -1/24*n**4 + 1/80*n**5 - 1/720*n**6 - 2/3*n**3 + 0*n**2 + 35*n + 0. Let d(z) be the second derivative of u(z). Factor d(h).
-(h - 2)*(h - 1)/2
Let u be ((-16)/4)/(-4)*(-5)/(-1). Find h such that -27*h**4 - 45*h**3 + 21*h**3 + 2*h**3 + h**u - 32*h**3 - 4*h**5 = 0.
-6, -3, 0
Let t(j) be the second derivative of 0*j**3 + 0 + 1/16*j**4 - 35/2*j**2 - 7/80*j**5 + 1/32*j**6 - 33*j. Let u(y) be the first derivative of t(y). Factor u(a).
3*a*(a - 1)*(5*a - 2)/4
Let c(z) be the third derivative of z**8/336 - z**7/105 - 3*z**6/40 + z**5/30 + z**4/3 - 208*z**2 - 4*z. Let c(q) = 0. What is q?
-2, -1, 0, 1, 4
Suppose 0 = 5*v + 5*k - 30, 3*k - 1 = v + 1. Suppose v*g + s - 7 = 0, 5*g + s - 6*s - 15 = 0. Factor -5*d + 3 + 4*d - 5*d + 3*d**g.
3*(d - 1)**2
Factor -33*a**2 + 29*a**2 - 840 - 31*a + 134*a + 189*a.
-4*(a - 70)*(a - 3)
Let b(c) be the second derivative of 4*c + c**4 + 9 + 2/15*c**6 + 0*c**2 + 0*c**3 + c**5 - 2/21*c**7. Factor b(o).
-4*o**2*(o - 3)*(o + 1)**2
What is k in -1/2*k**2 + 251/2*k + 126 = 0?
-1, 252
Find d, given that 28*d**2 + 597*d**2 - 252 - 1397*d**2 - 5*d**3 + 17*d**3 + 1012*d = 0.
1/3, 1, 63
Factor 63/8*r + 3/8*r**3 + 0 + 33/4*r**2.
3*r*(r + 1)*(r + 21)/8
Let x(r) be the third derivative of -r**8/80640 + r**7/10080 + 17*r**5/15 + 44*r**2. Let t(d) be the third derivative of x(d). Suppose t(g) = 0. What is g?
0, 2
Let v be 3/318*(10 - (1 + -4)). Let d = v + 281/1166. Factor -18/11*t - d*t**2 + 10/11.
-2*(t + 5)*(2*t - 1)/11
Determine t, given that 58/11*t + 360/11 + 2/11*t**2 = 0.
-20, -9
Let n = 204 - 201. Factor 6*z**3 + 54*z**2 + 24*z - 24*z**2 - 3*z**3 - n*z**4.
-3*z*(z - 4)*(z + 1)*(z + 2)
Factor 208/3*m**2 + 896*m - 4704 - 2/3*m**4 - 32/3*m**3.
-2*(m - 6)**2*(m + 14)**2/3
Let k(n) be the first derivative of -n**5/20 - 35*n**4/16 + 82*n**3/3 - 86*n**2 + 2327. Solve k(w) = 0 for w.
-43, 0, 4
Suppose -s = 3*k - 88, -5*s - 3*k = -8*s + 264. Let -38*p**2 + 9*p**4 + p**5 - s*p**2 + 22*p**2 + 48*p + 144 = 0. What is p?
-6, -1, 2
Let g = 46 + -46. Suppose -k + 7*q + 23 = 3*q, -k + 3*q + 23 = g. Factor -40*a + k*a**2 + 47 - 18*a**2 - 12.
5*(a - 7)*(a - 1)
Let u be 3 - ((-116)/(-210) - (-6)/(-10))/(2/(-102)). Suppose 2/7*f**4 - 6/7*f**2 + 10/7*f - 2/7*f**3 - u = 0. Calculate f.
-2, 1
Suppose 87*j - 186 = 56*j. Let u be (1 + (-5)/j)/(187/374). Determine o, given that 3*o + o**2 + 0 - 5/3*o**3 + u*o**4 = 0.
-1, 0, 3
Let f(w) be the third derivative of w**5/4 + 1195*w**4/3 + 3185*w**3/6 - 3227*w**2. Determine x, given that f(x) = 0.
-637, -1/3
Let x(a) be the first derivative of -a**6/18 - 223*a**5/15 - 12539*a**4/12 - 11429*a**3/9 + 8362*a**2 + 16428*a - 3858. What is r in x(r) = 0?
-111, -2, -1, 2
Suppose -2*o + 0*o - 7467 = -x, 5*x - 5*o = 37340. Find t such that -24069 - 4*t**3 + 1661*t - 12031 - x*t - 264*t**2 - 6492 = 0.
-22
Let n(i) be the third derivative of i**6/120 - 21*i**5/40 - 11*i**4/4 + 281*i**3/6 + i**2 - 110*i. Let m(q) be the first derivative of n(q). Factor m(s).
3*(s - 22)*(s + 1)
Let w be 18/(-18)*(-7)/(-2)*(-3)/7. Let c(g) be the first derivative of 2 + 1/4*g**4 + g + g**3 + w*g**2. Factor c(s).
(s + 1)**3
Suppose 6414 - 6393 = -u + 4*p, u - 