 + 1694*u + 878. Let z(y) = 2*a(y) + 28*j(y). Find b, given that z(b) = 0.
-4, -3, -9/10
What is o in 824/9*o**2 - 5/9*o**3 - 1/9*o**4 + 1152 + 1244*o = 0?
-18, -1, 32
Let o(h) be the second derivative of -h**5/60 - 113*h**4/36 - 3871*h**3/18 - 12005*h**2/2 - 7387*h. Factor o(n).
-(n + 15)*(n + 49)**2/3
Let p(a) be the first derivative of a**6/27 - 434*a**5/45 + 6041*a**4/9 - 64852*a**3/27 - 101971*a**2/9 - 114490*a/9 - 653. Find g such that p(g) = 0.
-1, 5, 107
Let t(y) be the third derivative of -y**6/105 - 3*y**5/5 - 31*y**4/42 - 152*y**2 + 2. Factor t(v).
-4*v*(v + 31)*(2*v + 1)/7
Let o = 293 + -286. Factor 5*q**3 + 100*q - 14*q**2 + 5*q**4 - 73*q**2 + o*q**2.
5*q*(q - 2)**2*(q + 5)
Let a be 6228/270 + -20 + 16/(-40). Factor 0*p - a*p**2 + 4/3*p**3 + 0.
4*p**2*(p - 2)/3
Let j(u) = 3*u**2 + u. Let h be j(1). Suppose -3*r + 483 = 2*r + 3*q, 380 = 4*r - h*q. Let -2*c**3 - 10*c - 3*c**3 + 111*c**2 - r*c**2 = 0. What is c?
0, 1, 2
Let k = 34221/8 - 8553/2. Let v be (-225)/10*(-2)/40. Find n, given that -3/8*n**2 - k*n**3 - 3/8*n**4 + v*n + 3/4 = 0.
-2, -1, 1
Suppose -4*j - 12 = -2*u, 0 = 4*u + u - j + 6. Let a be 6/((20/u)/5) - -5. Solve -1/4 - 1/2*k - 1/4*k**a = 0 for k.
-1
Let k(h) = -h**2 + 11*h + 62. Let c be k(15). Determine z, given that -32*z + 46*z**2 + 0*z**2 + 2*z**4 + 22*z**2 - 28*z**c - 16*z**3 = 0.
0, 2, 4
Let t(z) be the third derivative of -z**6/80 + 39*z**5/8 - 387*z**4/16 + 193*z**3/4 - 2853*z**2. Factor t(w).
-3*(w - 193)*(w - 1)**2/2
Let -1624*c - 897*c**2 + 6 - 28 - 2 + 627*c**2 = 0. Calculate c.
-6, -2/135
Let s(c) be the third derivative of -c**8/2016 - c**7/90 - 7*c**6/80 - 53*c**5/180 - 7*c**4/18 + 2*c**2 + 186*c. Determine g so that s(g) = 0.
-7, -4, -2, -1, 0
Solve 560*d + 742 + 628 + 15*d**5 - 180*d**2 - 900*d**3 - 145*d**4 - 1370 = 0.
-4, -1, 0, 2/3, 14
Let r = -1273792367561/1585 + 803654520. Let i = r - 8/317. Factor 343/5 + 21/5*s**2 + 1/5*s**3 + i*s.
(s + 7)**3/5
Factor -33/5*z + 1/5*z**2 - 148/5.
(z - 37)*(z + 4)/5
Factor -2/5*l**2 + 1292/5*l - 208658/5.
-2*(l - 323)**2/5
Let i(t) = 11*t - 10. Let j(h) = 10*h - 9. Let u(a) = 6*i(a) - 7*j(a). Let v be u(0). Factor 9*f**2 + 6*f**2 - 18*f + 8*f**3 - 11*f**v.
-3*f*(f - 3)*(f - 2)
Let f(a) be the first derivative of -2*a**6/3 - 5092*a**5/5 - 3813*a**4 - 15244*a**3/3 - 2540*a**2 - 4657. Factor f(q).
-4*q*(q + 1)**3*(q + 1270)
Let f(j) be the second derivative of 0*j**2 + 5*j + 1/1080*j**6 - 2*j**3 + 1/36*j**4 + 0 + 1/120*j**5. Let q(i) be the second derivative of f(i). Factor q(u).
(u + 1)*(u + 2)/3
Suppose -3 = 2*l + 3, -5*q - 4*l = -168. Let k be -2 - (-24)/q*3*2. Factor -11 + 9 - 2*v - 2*v**k + 4 + 2*v**3.
2*(v - 1)**2*(v + 1)
Let y(n) be the first derivative of 2*n**3/45 + 2422*n**2/15 + 2933042*n/15 - 312. Find w, given that y(w) = 0.
-1211
Let g = -215 - -220. Let y be ((-1)/g)/(((-4)/40)/1). Factor 0 + 0*i**y - 1/7*i + 1/7*i**3.
i*(i - 1)*(i + 1)/7
Let l(v) = -v - 2. Let j(r) be the second derivative of r**4/6 - 77*r**3/3 + 1523*r**2 + 25*r + 2. Let x(u) = 2*j(u) + 4*l(u). Suppose x(b) = 0. What is b?
39
Let n(c) be the second derivative of c**4/18 + 430*c**3/9 - 431*c**2/3 - 235*c - 5. Suppose n(x) = 0. Calculate x.
-431, 1
Let v be 2388/(-4776) + (-5)/(-2). Let -3/4*g**v + 1/4*g**3 + 3 - g = 0. Calculate g.
-2, 2, 3
Let v(y) be the third derivative of -6/5*y**5 + 2 - 1/40*y**6 + 0*y**3 + 0*y - 87*y**2 + 25/8*y**4. Factor v(z).
-3*z*(z - 1)*(z + 25)
Let h(w) be the first derivative of -70 + 3/19*w**4 - 7/19*w**2 - 4/57*w**3 + 2/19*w**5 - 6/19*w + 1/57*w**6. Solve h(n) = 0.
-3, -1, 1
Suppose 65*y = -122*y + 38*y + 447. Let z(k) be the second derivative of 7*k - 4/3*k**y - 7/3*k**4 + 0 + 0*k**2. Factor z(o).
-4*o*(7*o + 2)
Let u = -54173/25 - -2167. Let j(v) be the first derivative of -2/5*v**2 + u*v**5 - 2/5*v**4 + 0*v + 1 + 2/3*v**3. Factor j(p).
2*p*(p - 2)*(p - 1)**2/5
Let l(q) be the third derivative of q**6/10 - 122*q**5/15 + 605*q**4/6 - 700*q**3/3 - 4376*q**2. Factor l(r).
4*(r - 35)*(r - 5)*(3*r - 2)
Let l(o) = 8*o**2 + 822*o + 85704. Let j(r) = r**2 - r + 1. Let f(z) = 6*j(z) - l(z). Factor f(h).
-2*(h + 207)**2
Factor -193440/11*n - 2/11*n**3 + 1242/11*n**2 + 192200/11.
-2*(n - 310)**2*(n - 1)/11
Let a(k) = k**3 - k**2 + 3*k - 2. Let q(f) = 10*f**3 - 10*f**2 - 178*f + 184. Let y(u) = -6*a(u) + q(u). Factor y(g).
4*(g - 7)*(g - 1)*(g + 7)
Let t be ((-14637)/(-126) - 36) + -73. Suppose 0*h - 1/3*h**4 + t*h**3 - 7/2*h**2 + 0 = 0. Calculate h.
0, 1/2, 21
Suppose 163 = 427*o - 321*o - 49. Factor -3/7 + 0*r + 3/7*r**o.
3*(r - 1)*(r + 1)/7
Suppose -96 = -3*v + 4*t - 64, -3*t - 24 = -v. Solve -3/5*q**5 + v + 9/5*q**3 - 12/5*q - 6/5*q**4 + 12/5*q**2 = 0.
-2, 0, 1
Let y(d) be the second derivative of 7*d**7/4 - 133*d**6/60 - 241*d**5/60 + 199*d**4/36 + 41*d**3/36 + d**2/12 - 724*d. Find i, given that y(i) = 0.
-1, -1/21, 1
Let h(r) be the third derivative of -r**5/120 - 7*r**4/3 + 113*r**3/12 - 781*r**2. Factor h(v).
-(v - 1)*(v + 113)/2
Let u(x) be the second derivative of -3*x - 71 - 2*x**3 + 40/3*x**2 + 1/9*x**4. Determine s, given that u(s) = 0.
4, 5
Let 7*v**2 - 4 + v**3 - 45*v + 5 - 1 - 7 + 44*v = 0. Calculate v.
-7, -1, 1
Let w(u) be the second derivative of 0*u**2 + 16*u - 1/24*u**6 - 6 - 175/48*u**4 - 7/8*u**5 - 55/12*u**3. What is n in w(n) = 0?
-11, -2, -1, 0
Let w be (11/330)/(5/2605). Let h = w - 86/5. Find n such that 1/6*n**5 - 2/3 - 5/6*n**3 + 1/6*n**4 - h*n**2 + 4/3*n = 0.
-2, 1
Suppose 505*j = 254*j + 264*j. Let c(k) be the third derivative of 1/280*k**6 - 1/70*k**5 + j + 0*k**4 - 3*k**2 + 0*k**3 + 0*k. Suppose c(d) = 0. What is d?
0, 2
Suppose -4079*w - g + 13 = -4082*w, 4*g = 3*w + 52. Let w - 2/3*k - 13/3*k**2 = 0. What is k?
-2/13, 0
Let h = -285 - -295. What is s in s - h*s**2 - 2*s - 4*s + 15*s**2 = 0?
0, 1
Suppose 4*p - 28 = -2*g, 5*p - 42 - 11 = 2*g. Let s be (p + 115/(-10))/(-10). Factor 16 + s*y**2 + 4*y.
(y + 8)**2/4
Let o be -4*(-9)/(-54)*-3. Let x be ((-13)/(585/36))/(o/(-5)). Factor 36/17*t - 162/17 - 2/17*t**x.
-2*(t - 9)**2/17
Suppose 0 = -l - 3*w + 60, 2*w + 78 + 69 = 3*l. Let k = l + 129. Factor -9*z + 0*z**2 + 3*z**2 - 183*z**4 + 9*z**3 + k*z**4.
-3*z*(z - 3)*(z - 1)*(z + 1)
Let n be ((-2)/(-24))/(62*(-36)/(-1935144)). What is k in -n - 1/4*k**2 + 17/2*k = 0?
17
Let w(n) = 3*n**2 + 3*n + 1. Let u(l) = -15*l**2 - 33*l - 34. Let h(z) = u(z) + 4*w(z). Find a, given that h(a) = 0.
-5, -2
Let u(z) be the second derivative of -z**2 + 20*z - 17/30*z**3 - 7/150*z**6 + 0 - 23/100*z**5 + 19/20*z**4. Determine a so that u(a) = 0.
-5, -2/7, 1
Suppose 2*a + 4*y = 2*y - 10, 0 = -3*y - 9. Let c be (228/(-7))/(3/a). Suppose 16/7 - 14*x**3 - 98*x**4 - c*x + 60*x**2 = 0. What is x?
-1, 2/7
Let i(o) be the second derivative of o**4/54 + 52*o**3 + 54756*o**2 - 2062*o. What is u in i(u) = 0?
-702
Let o(w) be the third derivative of 1/18*w**6 - 31/90*w**5 + 0*w**3 + 0*w - 70*w**2 + 1/12*w**4 + 0. Factor o(p).
2*p*(p - 3)*(10*p - 1)/3
Let q(t) be the first derivative of t**6/40 - t**5/4 - 3*t**4/2 + 18*t**3 - 213*t**2/2 + 32. Let f(s) be the second derivative of q(s). Solve f(z) = 0.
-3, 2, 6
Let r(z) be the second derivative of 5*z**4/12 + 110*z**3/3 - 2030*z**2 - 6936*z. Determine j so that r(j) = 0.
-58, 14
Suppose 0 = 145*a - 148*a + 6. Find y, given that -12 + 13*y - 14*y**a + 2*y**3 - 18*y - 15*y - 6*y - 12*y**4 + 14*y**4 = 0.
-2, -1, 3
What is l in 287 + 2195*l**3 + 356*l - 2191*l**3 + 184*l**2 - 111 = 0?
-44, -1
Let n(d) = 10*d**3 - 8*d**2 + 6. Let s = -64 - -58. Let v(l) = -9*l**3 + 8*l**2 - 5. Let a = -11 - -6. Let b(x) = a*n(x) + s*v(x). Factor b(q).
4*q**2*(q - 2)
Let p be 6 - (-2896)/(-728) - 2. Let a = p + 269/182. Solve -2*y - a*y**2 - 1/2 = 0 for y.
-1, -1/3
Suppose 5*o - 40 - 60 = 0. Suppose 19*c - 13*c - 4*c**4 - 16*c**3 + 0*c**3 - o*c**2 - 14*c = 0. What is c?
-2, -1, 0
Let z(p) be the third derivative of 2*p**7/105 + 19*p**6/10 + 838*p**5/15 + 112*p**4 - 3136*p**3/3 + p**2 - 1171. Solve z(m) = 0.
-28, -2, 1
Let q(p) be the second derivative of -p**4/3 + 490*p**3 + 364*p - 2. Factor q(y).
-4*y*(y - 735)
Let t(p) = 2*p**3 + p**2 + p + 2. Let n(l) = 14*l**3 + 349*l**2 + 5381*l - 92150. Let y(q) = n(q) - 5*t(q). Factor y(w).
4*(w - 10)*(w + 48)**2
Suppose 1355 = o + 2*x, -122*o = -121*o - x - 1349. Let r = o - 2683/2. Factor r