(o) + 4*j(o). Factor i(w).
3*(w - 12)*(w + 28)
Let i be (2 - (-35)/(-14))*-156. Let -i*f - 3*f**2 + 48*f + 36*f - 3*f**3 = 0. Calculate f.
-2, 0, 1
Let i = -516619/7 - -73804. Determine f so that 6/7 - i*f - 15/7*f**2 = 0.
-1, 2/5
Let w(r) be the third derivative of -r**7/147 + 19*r**6/420 - 11*r**5/105 + 2*r**4/21 - r**2 - 145. Suppose w(m) = 0. What is m?
0, 4/5, 1, 2
Factor 3685 + 2090*c**4 - 2880*c**2 + 66*c**3 + 13312*c + 122*c**3 - 2094*c**4 + 12699.
-4*(c - 16)**3*(c + 1)
Suppose -b = 3*a, a - a = -2*a + b + 10. Let 72/7 + 96/7*t - 14*t**3 - 10*t**a = 0. What is t?
-6/7, 1
Let k(z) be the second derivative of -z**4/6 + 25*z**2 - 1289*z. Factor k(o).
-2*(o - 5)*(o + 5)
Let b(g) be the second derivative of -40*g**2 + 2*g**5 - 5*g - 20/3*g**3 + 1/6*g**6 + 2 + 25/4*g**4. Let b(w) = 0. What is w?
-4, -1, 1
Suppose -64331 = 35*t - 64331. Factor 12/7*l**3 + t - 87/7*l**2 + 3*l.
3*l*(l - 7)*(4*l - 1)/7
Suppose -207 = -l - 4*g + 5*g, -2*g = l - 201. Let d = l - 203. Factor 0*w**d - 1/2*w + 0 + 1/2*w**3.
w*(w - 1)*(w + 1)/2
Let c = -211 + 595. Let w = c + -381. Factor 0 + 8/7*x - 6/7*x**2 - 2/7*x**w.
-2*x*(x - 1)*(x + 4)/7
Let o(l) be the first derivative of l**4/4 + 3*l**3 + 15*l**2/2 - 70*l - 36. Let u(k) be the first derivative of o(k). Determine d, given that u(d) = 0.
-5, -1
Let n = -2341 + 2347. Factor 45/2*i**2 + n*i**3 + 1/2*i**4 + 25*i + 0.
i*(i + 2)*(i + 5)**2/2
Let k(b) be the first derivative of -2*b**3/3 + 1514*b**2 - 1146098*b + 1742. Factor k(z).
-2*(z - 757)**2
Factor -116*l**3 - 69*l**2 + 200*l**4 - 203*l**2 - 196*l**4 - 112*l**2.
4*l**2*(l - 32)*(l + 3)
Let k(l) = 95*l**3 + 55*l**2 + 10*l. Let x(z) = 4*z**3 + 2*z**2. Let a(c) = -k(c) + 25*x(c). Factor a(s).
5*s*(s - 2)*(s + 1)
Suppose 5*a = -5*u + 85, -u - 5*a + 41373 = 41308. Solve 34/25*x**2 + 98/25*x**u + 48/25*x - 146/25*x**3 - 42/25*x**4 + 8/25 = 0.
-1, -2/7, 1
Suppose 3/8*q**3 - 13/8*q**2 + 3/2 - q + 1/8*q**5 + 5/8*q**4 = 0. Calculate q.
-3, -2, 1
Let w(l) be the third derivative of l**6/60 - 142*l**5/15 + 1632*l**4 + 27648*l**3 - 2*l**2 + l + 1039. Solve w(x) = 0.
-4, 144
Let x(s) be the first derivative of 3*s**6/80 + s**5/80 - 5*s**4/32 - 15*s**2 - 38. Let z(g) be the second derivative of x(g). Suppose z(j) = 0. What is j?
-1, 0, 5/6
Let q(z) be the first derivative of 7*z**4/6 - 46*z**3/9 - 32*z**2/3 + 32*z + 1770. Factor q(w).
2*(w - 4)*(w - 1)*(7*w + 12)/3
Let z(w) be the second derivative of 2/135*w**6 + 14/45*w**5 + 6*w**2 + 3*w + 44/9*w**3 + 3 + 52/27*w**4. Let z(v) = 0. What is v?
-9, -3, -1
Let v(a) = -a**4 - 40*a**3 - 47*a**2 + 170*a + 162. Let y(r) = -3*r**4 - 80*r**3 - 95*r**2 + 345*r + 323. Let j(o) = -10*v(o) + 4*y(o). Solve j(s) = 0 for s.
-2, -1, 2, 41
Let x(u) be the first derivative of -u**6/11 - 12*u**5/55 + 603*u**4/22 - 2052*u**3/11 - 324*u**2 + 66096*u/11 - 7718. Suppose x(w) = 0. What is w?
-17, -3, 6
Let l(r) be the second derivative of -r**7/147 + r**6/105 + r**5/14 + r**4/14 - 176*r. Suppose l(j) = 0. Calculate j.
-1, 0, 3
Let o(z) be the second derivative of -z**6/360 - z**5/15 + 13*z**3/6 + 17*z. Let d(b) be the second derivative of o(b). Factor d(j).
-j*(j + 8)
Let z = -479 - -797. Let l = z - 1907/6. Factor 0 + 1/6*i**2 + l*i.
i*(i + 1)/6
Determine p, given that -273*p + 0 - 33*p**3 + 3/2*p**4 + 393/2*p**2 = 0.
0, 2, 7, 13
Let m(g) = 4 + 3*g**2 + 12 - 2*g - 4*g**3 - g**2. Let h(z) = -z**3 + z**2 + z. Let u be (56/(-21))/(292/(-657)). Let k(d) = u*h(d) - m(d). Factor k(y).
-2*(y - 2)**2*(y + 2)
Factor 0 + 1/6*n**3 + 1/6*n - 1/3*n**2.
n*(n - 1)**2/6
Let b(a) = -227*a - 1362. Let p be b(-6). Let k(s) be the third derivative of 0*s - 5/9*s**3 + p - 27*s**2 - 7/90*s**5 - 1/180*s**6 - 11/36*s**4. Factor k(g).
-2*(g + 1)**2*(g + 5)/3
Let r be 339/189 + ((-308)/126)/11 - -1. Solve 18/7*s**2 - 3/7*s + 3/7*s**3 - r = 0.
-6, -1, 1
Let q(m) be the second derivative of -289/13*m**2 + 34/39*m**3 - 4 - 1/78*m**4 - 6*m. Suppose q(s) = 0. Calculate s.
17
Let b be 1*84/112*31/(-3) - -8. What is t in -1/4*t**2 + 1/8*t + b - 1/8*t**3 = 0?
-2, -1, 1
Let y(c) = -3759*c - 11275. Let d be y(-3). Let -1/8*t**d + 9/4*t + 0 = 0. Calculate t.
0, 18
Let l(k) be the first derivative of -4*k**3/21 - 884*k**2/7 - 195364*k/7 + 70. Factor l(q).
-4*(q + 221)**2/7
Let d = -3174515/12036 + 5/3009. Let a = 265 + d. Factor 0*m**2 + 0 + a*m**4 + 0*m + 0*m**3.
5*m**4/4
Let t be (-2 - -2)*112/224. Factor 4*m**2 + 1/5*m**5 + 9/5*m**4 + t + 0*m + 24/5*m**3.
m**2*(m + 2)**2*(m + 5)/5
Suppose -16 = -4*r + 44. Suppose 1 + 2 = 4*b + d, 0 = b - 5*d + r. Factor -52*a + 4*a**3 + 4 + 64*a + 12*a**2 + 0*a**3 + b*a**3.
4*(a + 1)**3
Let o be (-840)/280 + (-811)/(-270). Let w(q) be the third derivative of 3*q**2 + 2/9*q**3 + 0 + 0*q + 1/108*q**4 - o*q**5. Factor w(s).
-2*(s - 3)*(s + 2)/9
Let i be ((-3)/(-2))/(3/(-4)) - 34. Let l = 38 + i. Let 25 - 37*w**l + 23*w**2 + 19*w**2 + 30*w = 0. What is w?
-5, -1
Let f(o) = o**4 - 100*o**3 + 11. Let k(m) = 2*m**4 - 180*m**3 + 20. Let x(w) = 20*f(w) - 11*k(w). Factor x(r).
-2*r**3*(r + 10)
Let i(y) be the third derivative of y**8/392 - 13*y**7/147 - 2*y**6/5 - 2*y**5/105 + 8*y**4/7 - 7*y**2. Find g such that i(g) = 0.
-2, -1, 0, 2/3, 24
Let d(u) = -u**2 + 20*u - 3. Let z be d(20). Let o be z + 6/((-24)/(-20)). Find m such that 3*m**4 - 9*m**3 - 47*m**2 + 0*m**4 + 9*m**5 + 44*m**o = 0.
-1, -1/3, 0, 1
Let c = 232 - 226. Let q be -3 - (-2 - c - -3). Suppose 2 - 1/4*s**4 - 5/4*s**3 - 3/2*s**q + s = 0. Calculate s.
-2, 1
Let l(w) be the third derivative of -w**7/168 - w**6/36 + w**5/8 - w**3/3 + 19*w**2. Let p(s) be the first derivative of l(s). Let p(h) = 0. What is h?
-3, 0, 1
Let m be (58652/903)/31 + (-4)/42. Factor -10/3*c**m + 2/9*c**3 + 52/9*c + 0.
2*c*(c - 13)*(c - 2)/9
Let k be ((-42)/(-46 - -45))/5. Factor 1/5*a**2 - 19/5*a - k.
(a - 21)*(a + 2)/5
Let n(t) = -t**2 - 9*t + 154. Let j be n(-17). Find o, given that 2*o**2 + 12*o - j - 7*o + o**2 + 2*o - 2*o**2 = 0.
-9, 2
Let w(v) = v**2 + 5*v + 6. Let u be w(-6). Let p be (112/u)/(-7)*-3. Solve -12*g**5 + 4*g**3 - 3*g**2 + 5*g**3 + g**p + 2*g**4 + 3*g**5 = 0 for g.
-1, 0, 1/3, 1
Let t(k) = 316*k - 2204. Let r be t(7). Let o(m) be the first derivative of -m - 1/9*m**3 - 2/3*m**2 - r. Factor o(c).
-(c + 1)*(c + 3)/3
Factor -12*f**3 - 32*f**3 - 4*f**4 + 6*f**3 + 12*f**3 + 14*f**2.
-2*f**2*(f + 7)*(2*f - 1)
Let s(x) be the second derivative of -3*x**5/80 + 1551*x**4/16 - 602175*x**3/8 + 1801875*x**2/8 + 855*x. Let s(n) = 0. Calculate n.
1, 775
Let v = 326 + -325. Let c(y) = -y**4 + 2*y**3 - y**2. Let a(m) = -m**4 + 83*m**3 - 889*m**2 + 3645*m - 4374. Let r(s) = v*a(s) + 2*c(s). Factor r(b).
-3*(b - 9)**3*(b - 2)
Let -1/7*g**5 + 10/7*g**3 + 1/7*g**4 + 0 + 0*g + 8/7*g**2 = 0. What is g?
-2, -1, 0, 4
Let g(c) be the first derivative of 1/6*c**4 - 6*c - 14/9*c**3 + 49 + 5*c**2. Let g(r) = 0. Calculate r.
1, 3
Let t be (-7)/(42/(-18)) + -1. Let l**t + l**2 + 3*l**2 + 7*l**2 - 8*l**2 - 68 + 64*l = 0. What is l?
-17, 1
Let j(x) be the third derivative of -x**5/100 + 29*x**4/40 + 48*x**3/5 - 6689*x**2. What is d in j(d) = 0?
-3, 32
Suppose -4*k + 451 = 131. Suppose 0 = -3*y + 5*y - k. Find t, given that -y + 16 + 32*t - 4*t**2 - 7 - 33 = 0.
4
Suppose 233*t - 169*t = 128. Let s(r) be the third derivative of 25*r**t + 0*r**4 + 1/480*r**5 - 1/12*r**3 + 0*r + 0. Factor s(g).
(g - 2)*(g + 2)/8
Let o be ((-14)/4)/(3/78). Let g be 4/6*(-105)/o. Factor 4/13*c**3 + 0 + 0*c - g*c**5 - 6/13*c**4 + 0*c**2.
-2*c**3*(c + 1)*(5*c - 2)/13
Let p(m) be the first derivative of -200/3*m**3 + 30*m**2 + 0*m - 35/4*m**4 + 42. Let p(u) = 0. Calculate u.
-6, 0, 2/7
Let l(w) be the second derivative of -3*w**5/80 - 15*w**4/4 + 61*w**3/8 - 1743*w. Factor l(b).
-3*b*(b - 1)*(b + 61)/4
Suppose 4*l = 5*u + 30, 3*l + 3*u - 21 = 6*u. Suppose t - 61 = p - 162, 3*t = -l*p + 505. Factor 101 - 9*n - 18*n**3 - p + 3*n**5 - 24*n**2.
3*n*(n - 3)*(n + 1)**3
Suppose 4*h - 736 = 4*z, 12*h + 4*z = 17*h - 918. Let b be 82/h + 2/(-14). Find n such that 0 - 2/13*n**2 + 2/13*n**3 - b*n = 0.
-1, 0, 2
Factor -36/5 - 18/5*j - 2/5*j**2.
-2*(j + 3)*(j + 6)/5
Let a(j) be the second derivative of -j**6/72 - 11*j**5/12 - 25*j**4/3 - 6*j**3 + j**2 - 278*j. Let o(w) be the second derivative of a(w). Factor o(r).
-5*(r + 2)*(r + 20)
Let b(u) be the second derivative 