2*d - 3*o. Let f be (-8)/198 + 10/45. Factor -2/11*u**5 + d*u - 2/11*u**4 + 2/11*u**3 + f*u**2 + 0.
-2*u**2*(u - 1)*(u + 1)**2/11
Let y be (-2369)/(-483) - (-2)/21. Factor -10*c**2 - 3 + 0 + y*c**2 - 26*c + 14*c**2.
(c - 3)*(9*c + 1)
Let o(r) be the third derivative of r**7/140 + 11*r**6/80 + 9*r**5/10 + r**4 - 16*r**3 - 299*r**2. Factor o(b).
3*(b - 1)*(b + 4)**3/2
Factor -215168/7 - 2/7*v**2 + 1312/7*v.
-2*(v - 328)**2/7
Let o(n) be the second derivative of n**6/120 - 37*n**5/16 - 193*n**4/4 - 1174*n**3/3 - 1576*n**2 + 562*n + 2. Factor o(f).
(f - 197)*(f + 4)**3/4
Let i be -11 - -6 - (-6 + -4). Let -11950*w**2 - 4*w**i + 1726*w**3 - 15625 + 1857*w - 73*w**4 + 5*w**5 - 31232*w = 0. What is w?
-1, 25
Let q(v) = -4*v**2 - 5*v + 3. Let a(z) = 2*z**2 + 5*z - 2. Let x(d) = 3*a(d) + 2*q(d). Let t be x(2). Find h such that 3/5*h**t + 24/5*h + 48/5 = 0.
-4
Let p(u) be the second derivative of -u**8/6720 - u**7/630 + 7*u**6/720 + u**5/12 + 19*u**4/2 - 25*u. Let z(o) be the third derivative of p(o). Factor z(a).
-(a - 2)*(a + 1)*(a + 5)
Let j(x) be the third derivative of 679*x**7/18 + 73*x**6/18 - 1583*x**5/12 - 365*x**4/18 - 10*x**3/9 + 88*x**2 + 27*x - 1. Suppose j(c) = 0. Calculate c.
-1, -2/49, -2/97, 1
Let y(j) be the first derivative of -2*j**5/15 - 27*j**4/2 - 622*j**3/9 - 77*j**2 + 3408. Let y(n) = 0. Calculate n.
-77, -3, -1, 0
Let n be 23512/(-38160)*-1 + 6/(-30). Let z = n - -3/106. What is c in -4/3 - z*c**3 + 20/9*c - 4/9*c**2 = 0?
-3, 1
Let s be (20360/(-8144))/((-15)/8). Find b such that 1/6*b**4 - 1/2 - s*b - b**2 + 0*b**3 = 0.
-1, 3
Let i(h) = 21*h**3 + 13*h**2 + 5*h. Let v(f) = -5*f**3 - f**2 - f. Let o(d) = -i(d) - 5*v(d). Find l, given that o(l) = 0.
0, 2
Let b = -959063 - -4795318/5. Factor -36/5*o + 33/5 + b*o**2.
3*(o - 11)*(o - 1)/5
Suppose b = -b + 4. Suppose 3*m + 6*r = 102, 1225 = 5*m - 5*r + 1280. Determine u, given that u - 31/4*u**4 - 7/4*u**3 + 0 - 3*u**5 + m*u**b = 0.
-2, -1, -1/4, 0, 2/3
Let d(p) be the third derivative of 0*p + 0 - 1/108*p**4 + 3*p**2 - 1/270*p**5 + 2/9*p**3. Suppose d(x) = 0. Calculate x.
-3, 2
Find v, given that v**2 - 20/9 - 1/9*v**3 + 4/3*v = 0.
-2, 1, 10
Solve -2*y**3 - y**4 + 1 + 8 - 57*y - 4 + 12*y**2 + 17*y + 26*y = 0 for y.
-5, 1
Factor 24 - 49*b - 13/2*b**2.
-(b + 8)*(13*b - 6)/2
Find f, given that -6572460157 - 13*f**3 + 5*f**3 + 9824847*f - 36788859*f + 4*f**3 - 6900557839 - 17988*f**2 = 0.
-1499
Let f be 16 + (-60)/(17 - 12). Let b(i) be the second derivative of 0 + 0*i**3 + f*i**2 + 6*i - 1/6*i**4. Let b(o) = 0. What is o?
-2, 2
Suppose -9*p + 5*p + 4*r + 132 = 0, 4*r + 161 = 5*p. Factor 2 - 2*y**3 - 64*y - p - 42 - 20*y**2 + 5.
-2*(y + 2)*(y + 4)**2
Let h(g) be the second derivative of -g**7/1260 - 23*g**6/360 + 11*g**4 - 11*g - 2. Let m(s) be the third derivative of h(s). Determine y, given that m(y) = 0.
-23, 0
Let n(m) be the third derivative of m**8/264 + m**7/21 + 9*m**6/220 - 71*m**5/66 + 25*m**4/66 + 1787*m**2 + m - 1. Solve n(w) = 0 for w.
-5, 0, 1/7, 2
Let f(x) be the second derivative of -5/2*x**3 - 1/4*x**5 + 32*x + 25/12*x**4 + 0 - 1/6*x**6 + 0*x**2. Factor f(z).
-5*z*(z - 1)**2*(z + 3)
Let n = -104901/16 - -105021/16. Factor 33/4*v - 3/4*v**2 - n.
-3*(v - 10)*(v - 1)/4
Suppose -48 = -12*m - 12*m. Determine v, given that -45*v - 33*v + 59*v - 1 - 18*v**m = 0.
-1, -1/18
Factor -22*i**2 + 154/3*i - 10/3*i**3 + 2/3*i**4 - 80/3.
2*(i - 8)*(i - 1)**2*(i + 5)/3
Let c(z) be the third derivative of -z**7/210 - z**6/120 + 17*z**5/60 - 5*z**4/8 + 2*z**2 - 10*z. Factor c(l).
-l*(l - 3)*(l - 1)*(l + 5)
Let f(p) = 3*p + 19. Let h be f(-7). Let d be 1 - ((-8)/h)/4. Factor 2/7*z**3 + 0*z + 2/7*z**2 + d.
2*z**2*(z + 1)/7
Let p be 188/330 + (-372)/(-12276). Determine o so that 0 + p*o**2 - 3/5*o**4 + 3*o**3 - 3*o = 0.
-1, 0, 1, 5
Let g(c) = -c**3 + 45*c**2 - 87*c + 51. Let j be g(43). Suppose 3*o - f - 4 = 5*o, o - 2*f = j. Let 4/9*y**2 + 0 - 10/9*y**3 + o*y = 0. What is y?
0, 2/5
Let u = 894956 + -894946. Let 6*i + 1/2*i**2 + u = 0. Calculate i.
-10, -2
Suppose -28*i + 7285*i**4 + 100*i**2 - 26*i**3 - 46*i**3 - 7282*i**4 + 23*i**3 = 0. What is i?
0, 1/3, 2, 14
Let c = -226 - -460. Let o = -231 + c. Suppose 0*x + 4/7*x**2 + 0 - 4/7*x**o = 0. What is x?
0, 1
Let y(j) be the first derivative of 5*j**4/12 - 35*j**3 + 2205*j**2/2 + 21*j - 51. Let f(w) be the first derivative of y(w). Factor f(c).
5*(c - 21)**2
Let c be (-36)/(-270) - 8151/(-9). Let b = c + -903. Solve -4/5*g**3 - 8/5 - 8/5*g + b*g**2 = 0 for g.
-1/2, 2
Let 12/5*c**2 + 7377/5*c - 369 = 0. Calculate c.
-615, 1/4
Let i(x) be the first derivative of -x**6/60 + x**4/12 - 3*x**2 + 23. Let s(d) be the second derivative of i(d). Find m, given that s(m) = 0.
-1, 0, 1
Let u(s) be the third derivative of -s**6/120 + 289*s**5/60 - 876*s**4 + 3456*s**3 - 114*s**2 - 5*s. Factor u(h).
-(h - 144)**2*(h - 1)
Let w(p) = 7*p + 103. Let j be w(-14). Suppose -45*f**3 - 150*f**2 - 207 - j*f**4 - 114 - 220*f - 139 + 340 = 0. What is f?
-3, -2
Suppose -5*q**3 + 54*q**2 + 131*q**2 + 5*q**3 + 5*q**3 + 893*q + 267*q = 0. What is q?
-29, -8, 0
Let d = 34 - 32. Solve -1684*q + 3370*q - 19 - 2 - 1682*q + q**d = 0 for q.
-7, 3
Solve 295/7*r - 10*r**3 - 1/7*r**5 + 200/7 + 8/7*r**2 + 16/7*r**4 = 0 for r.
-1, 5, 8
Factor -1/7*j**2 - 13/7 + 2*j.
-(j - 13)*(j - 1)/7
Let h = 2/93027 + 93017/465135. Factor p**2 - 6/5*p - h*p**4 + 0 + 2/5*p**3.
-p*(p - 3)*(p - 1)*(p + 2)/5
Let w = 231 - 228. Let -7*y**4 - 194*y**3 + w*y**4 + 174*y**3 = 0. Calculate y.
-5, 0
Let c(r) = -8*r**4 - 495*r**3 - 12432*r**2 - 6119*r + 144057. Let q(g) = g**4 - g**2 - 2*g + 1. Let f(j) = c(j) + 3*q(j). Let f(b) = 0. Calculate b.
-49, -4, 3
Let k(h) be the third derivative of h**6/210 - 8*h**5/3 + 6439*h**4/14 + 26508*h**3/7 - 431*h**2 - h. Factor k(v).
4*(v - 141)**2*(v + 2)/7
Let q(a) be the third derivative of a**6/30 - a**5 - 27*a**4/2 + 190*a**3/3 + 3*a**2 + 149*a. Factor q(g).
4*(g - 19)*(g - 1)*(g + 5)
Let d(v) be the third derivative of -v**6/480 + 43*v**5/60 - 509*v**4/96 + 169*v**3/12 - 5296*v**2. Determine p so that d(p) = 0.
1, 2, 169
Let w(u) be the third derivative of u**5/120 - 97*u**4/24 - 995*u**3/12 + 359*u**2 + 6*u. Factor w(h).
(h - 199)*(h + 5)/2
Let j(y) be the third derivative of -11/18*y**3 - 1/360*y**6 + 2*y**2 + 0 - 13/180*y**5 + 5*y - 23/72*y**4. Solve j(b) = 0 for b.
-11, -1
Let p be 16 - (0 + -9 - (-36 - -32)). Let n be 8/(-168)*9 + 184/p. Factor 5/6*b**2 - n*b + 125/6.
5*(b - 5)**2/6
Let q(l) = -8*l**4 - 84*l**3 - 282*l**2 + 175*l + 1467. Let w(d) = 25*d**4 + 255*d**3 + 845*d**2 - 525*d - 4400. Let t(o) = -10*q(o) - 3*w(o). Factor t(n).
5*(n - 2)*(n + 3)*(n + 7)**2
Let w(y) = 18*y - 7. Let o be w(5). Let z = o + -81. Factor 4*n**2 - 10 - n**z + 22 + 12*n.
3*(n + 2)**2
Suppose 5*o - 183 = -2*t, 2486*t - 2489*t = 3*o - 189. Determine a so that 194/3*a - 2*a**2 + t = 0.
-2/3, 33
Solve -34072664*u - 1002 + 34073994*u - 231*u**2 + 2*u**5 + 326*u**4 - 1332*u**3 + 907*u**2 = 0 for u.
-167, -1, 1, 3
Let m be (6 - 156/33)/((-1)/(-11)). Suppose -2*z - m = -d - 4*d, 4*d - 5*z - 1 = 0. Let -3 + 15*q**d - 29/2*q - 12*q**2 + 11*q**3 + 7/2*q**5 = 0. Calculate q.
-3, -1, -2/7, 1
Let r = 29010/7 + -4134. Determine j so that -102/7*j**3 + 8/7 + 22/7*j**2 + r*j = 0.
-2/3, -2/17, 1
Let o(t) be the first derivative of -242*t**3/27 - 125*t**2/9 - 8*t/9 - 3142. Factor o(q).
-2*(q + 1)*(121*q + 4)/9
Let v = -211869/2 - -105935. Let 3/2*j**2 - 1/2*j**3 + v*j - 3/2 = 0. What is j?
-1, 1, 3
Factor -58/3*c**2 - 128/3*c - 32/3 - 7/3*c**3.
-(c + 4)**2*(7*c + 2)/3
Let s(z) = -4*z**3 + 36*z**2 - 198*z + 169. Let x(l) = l**3 - 3*l**2 + l. Let y(g) = 4*s(g) + 12*x(g). What is w in y(w) = 0?
1, 13
Let c = 198 + -195. Factor -24*n - 4*n**2 + 3*n**4 - n**3 + n**c - 14*n**2 - 9.
3*(n - 3)*(n + 1)**3
Let q be ((-23)/(-20))/((-8)/(-5536)). Let i = q + -795. Let -8/5*z**2 + 0*z - 4/5*z**3 + 0 + i*z**4 = 0. What is z?
-1, 0, 2
Let t(b) be the third derivative of -b**7/1995 - b**6/190 + 299*b**5/570 + 77*b**4/19 - 23716*b**3/57 - 125*b**2 + 2. What is u in t(u) = 0?
-14, 11
Factor 10*b + 32 + 153700*b**2 + 6*b - 153702*b**2 + 136.
-2*(b - 14)*(b + 6)
Let n(b) be the second derivative of 0 + 1/3*b**2 - 14/27*b**3 - 170*b - 23/18*b**4. Determine t, given that n(t) = 0.
-1/3, 3/23
Determine r, given tha