*y(r) + 4*k(r). Factor z(d).
4*(d - 9)*(d - 2)
Let r = 941739 + -941736. Find y, given that -20/13*y - 6/13*y**2 + 0 - 2/13*y**4 + 12/13*y**r = 0.
-1, 0, 2, 5
Solve 0*i - 206/5*i**3 - 8/5*i**5 + 134/5*i**4 + 0 - 12*i**2 = 0.
-1/4, 0, 2, 15
Let i = -3014752/5 - -602954. Factor 0 - i*u**2 - 21/5*u + 3/5*u**3.
3*u*(u - 7)*(u + 1)/5
Let t(z) = -8*z + 29. Let v be t(15). Let s be ((-8)/(-14))/((-286)/v). What is j in 0 - 2/11*j - 1/11*j**4 + s*j**3 + 1/11*j**2 = 0?
-1, 0, 1, 2
Let h(d) be the first derivative of -d**3/12 - 133*d**2/2 - 17689*d + 990. Factor h(s).
-(s + 266)**2/4
Let w(a) be the first derivative of -10*a**3 + 56/11*a**2 + 44 - 8/11*a - 225/22*a**4. Suppose w(s) = 0. Calculate s.
-1, 2/15
Let f = 892 + -1028. Let n be -1*2/(-13) + f/(-468). Determine i, given that 0 - 2/9*i**3 - 2/9*i - n*i**2 = 0.
-1, 0
Let q(r) be the first derivative of -3/10*r**2 + 75 - 2*r + 1/15*r**3. Factor q(v).
(v - 5)*(v + 2)/5
Let g(a) be the third derivative of -1/360*a**6 + 0*a + 0 - 2/3*a**3 + 220*a**2 + 1/180*a**5 + 1/9*a**4. Solve g(w) = 0.
-3, 2
Let s(l) be the second derivative of 8*l**7/21 - 3*l**6/5 - 7*l**5/10 + 3*l**4/2 - l**3/3 - 6*l - 77. Find r, given that s(r) = 0.
-1, 0, 1/8, 1
Let u(a) be the third derivative of -a**8/336 + a**7/56 + a**6/72 - a**5/8 - 19*a**3/2 + 26*a**2. Let g(z) be the first derivative of u(z). Factor g(f).
-5*f*(f - 3)*(f - 1)*(f + 1)
Let o(x) be the second derivative of -x**4/30 + 184*x**3/5 - 551*x**2/5 + 2386*x. Solve o(j) = 0 for j.
1, 551
Let u(j) be the third derivative of j**8/2688 + j**7/168 + 13*j**6/960 - j**5/8 + 3*j**4/16 - 1157*j**2. Determine f, given that u(f) = 0.
-6, 0, 1
Let r be (-2)/8 - ((-156)/(-16))/(-3). Factor 4*l**2 + 4*l**4 - 512*l**5 + 513*l**5 - 4*l**r - 5*l**4.
l**2*(l - 2)*(l - 1)*(l + 2)
Let d(z) be the second derivative of -1/15*z**6 - 1/63*z**7 - 67*z + 0 + 2/9*z**4 + 0*z**2 + 0*z**3 + 0*z**5. Find a such that d(a) = 0.
-2, 0, 1
Let u(k) be the second derivative of 3*k**5/130 - 31*k**4/78 + 58*k**3/39 - 16*k**2/13 + k + 641. Determine b so that u(b) = 0.
1/3, 2, 8
Let k(u) be the first derivative of -5/3*u**3 + 0*u + 41 - 5/3*u**6 + 0*u**2 - 5*u**5 - 5*u**4. Solve k(g) = 0.
-1, -1/2, 0
Let f(y) be the third derivative of 1/1785*y**7 + 0*y**3 + 0*y**4 + 7/255*y**6 + 98/255*y**5 + 0*y + 54*y**2 + 2. Factor f(p).
2*p**2*(p + 14)**2/17
Let h(g) be the first derivative of -g**6/24 + 7*g**5/20 + 3*g**4/16 - 19*g**3/12 - 7*g**2/4 + 4458. Solve h(t) = 0 for t.
-1, 0, 2, 7
Let r(m) = 37*m + 50. Let j be r(-15). Let z = 1517/3 + j. Suppose 4/9*f + 2/9*f**3 + z*f**2 + 0 = 0. Calculate f.
-2, -1, 0
Let v(s) = -s**3 - s**2 + 5*s + 3. Let g be v(-3). Let c be ((-8)/(-14) + 0)*21/g. Solve -17*n + n**3 + 34*n - 9*n**c - 2*n - 7 = 0 for n.
1, 7
Suppose 15*y + 16*y - 37*y + 3530 - 3512 = 0. Determine v so that 10/9*v**4 + 8/9*v**y + 0 + 2/9*v**5 + 0*v**2 + 0*v = 0.
-4, -1, 0
Find v, given that -1011/7*v**2 - 18*v**3 - 1656/7*v - 768/7 - 3/7*v**4 = 0.
-32, -8, -1
Let u(b) be the second derivative of b**4/12 - 33*b**3/2 + 97*b**2 + 2303*b. Let u(m) = 0. What is m?
2, 97
Determine x so that 545*x**3 - 395000 + 266*x**2 + 123500*x - 9110*x**2 - 4506*x**2 - 5*x**4 = 0.
10, 79
Factor -49 - 47/2*w + 1/2*w**2.
(w - 49)*(w + 2)/2
Let r = 703 - 706. Let a be (r/(-6)*2 + -5)/(-2). Factor -g**3 + 1/6*g**4 - 2*g + 13/6*g**a + 2/3.
(g - 2)**2*(g - 1)**2/6
Let g(p) = 6*p**3 - 52*p**2 - 23*p + 12. Let u be g(9). Let y be (-9)/(-12)*(-396)/u. Factor 1/4*j**2 + 3*j + y.
(j + 6)**2/4
Factor -181071*s**2 + 1058*s + 180857*s**2 + 3*s**3 - 390 + 183*s.
(s - 65)*(s - 6)*(3*s - 1)
Let m(t) be the second derivative of 36*t**7/35 - 18*t**6/25 - 261*t**5/50 - 233*t**4/60 - 37*t**3/30 - t**2/5 - 691*t. Let m(b) = 0. Calculate b.
-1, -1/6, 2
Let y = -54 - -54. Suppose -2*z - 4*f = -16, y*z - 4*f + 6 = -3*z. Factor -7 - 2*i**3 + 2*i**2 + 3 + 2*i**z + 2*i.
-2*(i - 2)*(i - 1)*(i + 1)
Factor 47/5*k + 33/5*k**3 + 63/5*k**2 + k**4 + 12/5.
(k + 1)**2*(k + 4)*(5*k + 3)/5
Let t(f) = 2*f + 6. Let v be t(-1). Let -9*x**3 + x**3 - 16*x**2 + 24*x**3 - 7*x**3 - v*x = 0. What is x?
-2/9, 0, 2
Let l(a) be the first derivative of 3*a**4/28 + 1147*a**3/7 + 6864*a**2/7 + 13716*a/7 + 5146. Factor l(d).
3*(d + 2)**2*(d + 1143)/7
Let s(a) be the first derivative of -a**4/20 - a**3/10 + 39*a + 8. Let x(f) be the first derivative of s(f). Solve x(c) = 0 for c.
-1, 0
Let c(t) be the second derivative of t**4/24 - 130*t**3 + 152100*t**2 - 85*t + 3. Suppose c(d) = 0. What is d?
780
Let p(k) = 3*k**3 - 165*k**2 + 2261*k + 199. Let h be p(28). What is m in -3/8*m**h + 3*m**2 + 3/8*m - 3 = 0?
-1, 1, 8
Let g(m) = -m**3 + 2173*m**2 + 4317*m + 2179. Let u(l) = -2175*l**2 - 4310*l - 2180. Let y(i) = 5*g(i) + 4*u(i). Suppose y(c) = 0. Calculate c.
-1, 435
Suppose 5*n = 4*y - 10, 0 = 4*y - y - 15. Solve 25*v**n + 15*v - 3*v**3 + 21*v**2 + 28*v**2 - 78*v**2 + 16*v**2 = 0 for v.
-1, 0, 5
Let c be 335322/131274 - 2/11. Let p = 5/17 + c. Let 0 - p*b + 0*b**2 + 2*b**3 - 2/3*b**4 = 0. What is b?
-1, 0, 2
Let p be ((-1304)/24 - -51)*3*2/(-4). Let j(n) be the third derivative of 0*n**3 + 1/15*n**p + 1/2*n**4 + 0*n + 2*n**2 + 0. Let j(o) = 0. Calculate o.
-3, 0
Let k(m) be the first derivative of 25*m**4/6 + 131*m**3/9 - 10*m**2 - 3*m - 1272. Let k(u) = 0. What is u?
-3, -3/25, 1/2
Let j = -217 - -255. Suppose 14324*w**2 - 36*w**4 + j*w**3 + 16*w**5 - 14328*w**2 - 14*w**3 = 0. What is w?
0, 1/4, 1
What is z in 7*z**4 + 12*z**4 - 9053*z**3 + 8*z + 28*z**2 + 9089*z**3 + 4*z**5 + z**4 = 0?
-2, -1, 0
Suppose 7*w - 11*w = -36. Suppose -412*x - w = -415*x. Let 1/4*p**5 + 0*p**x - 3/4*p**4 + p**2 + 0*p + 0 = 0. Calculate p.
-1, 0, 2
Let g(n) = -346*n**3 + 4992*n**2 - 24279*n + 39304. Let c(p) = p**2 - p**3 - 3*p**2 + 504*p - 505*p. Let q(m) = -3*c(m) + g(m). Factor q(u).
-(7*u - 34)**3
Let u = 909 - 1803. Let d = u + 1815/2. Let 81/2*n**4 + 39*n**3 - 3/2 - 9/2*n + 9*n**2 + d*n**5 = 0. Calculate n.
-1, -1/3, 1/3
Let p = 17 - 17. Suppose -d - 2*a = p, 6*d - 5*a - 3 = 7*d. Factor 2/3*k**4 + 0 - 2*k**d + 0*k**3 + 4/3*k.
2*k*(k - 1)**2*(k + 2)/3
Factor -262*z - 60*z - 90*z + 16 + 9730*z**2 - 10158*z**2.
-4*(z + 1)*(107*z - 4)
Let b be (84/63)/((-8)/(-18)). Factor 22*g + 0*g - 108*g**2 - 16*g**b - 6*g + 12*g.
-4*g*(g + 7)*(4*g - 1)
Let o(k) be the second derivative of k**7/112 - k**6/40 - 3*k**5/80 + k**4/4 - 7*k**3/16 + 3*k**2/8 - 1910*k + 2. Let o(p) = 0. What is p?
-2, 1
Let a(n) be the first derivative of n**4/8 - 43*n**3/6 - 45*n**2/2 - 826. Determine h, given that a(h) = 0.
-2, 0, 45
Let g(c) be the first derivative of 17*c**6/57 + 1432*c**5/95 + 399*c**4/2 + 588*c**3/19 + 7408. Determine y so that g(y) = 0.
-21, -2/17, 0
Suppose -430 = -4*c - 5*h, 0 = -3*h - 2*h + 10. Suppose -2*l = -3*m + c, 35 = m - 0*l - l. Solve 5*u**3 + 17 - m*u**2 - 45 - 16*u - 17 + 91*u = 0 for u.
1, 3
Suppose -4*i + 7*c - 5*c + 18 = 0, -5*i - 5*c - 15 = 0. Let t(z) = -z. Let w be t(-2). Factor -8*x - i*x**w + 6*x**2 + 20*x.
4*x*(x + 3)
Let d(h) = -2*h**3 + 2. Let p(b) = -9*b**3 + 8*b**2 - 19*b + 20. Let z(j) = -7*j - 4. Let t be z(0). Let x(q) = t*d(q) + p(q). Suppose x(a) = 0. What is a?
1, 3, 4
Let d(k) be the second derivative of k**5/60 - 519*k**4/2 + 1616166*k**3 - 5032740924*k**2 - 2*k - 695. Factor d(b).
(b - 3114)**3/3
Let f = -74/2381 + 20010/30953. Solve -f*o + 8/13 + 2/13*o**2 = 0.
2
Suppose -17*d = -159 + 465. Let i(s) = 33*s + 596. Let k be i(d). Factor -8/9 - 8/3*a - k*a**2.
-2*(3*a + 2)**2/9
Let y(f) be the second derivative of -f**7/21 - 11*f**6/60 + 43*f**5/40 - 5*f**4/12 - 11*f - 64. Suppose y(b) = 0. Calculate b.
-5, 0, 1/4, 2
Let t(f) be the first derivative of -10/3*f**3 + 2*f**5 + 0*f + 73 + 5/2*f**2 + 0*f**4 - 5/6*f**6. Factor t(i).
-5*i*(i - 1)**3*(i + 1)
Let p = 34 - 44. Let t be (12/p)/((-10)/25) + 9. Suppose -4 - 8 + t*f**2 - 3*f**4 - 9*f**3 + 9*f + 3*f**2 = 0. Calculate f.
-4, -1, 1
Suppose -2*j = 2*j + 4*v - 44, v + 21 = 3*j. Suppose p + 3*p = j. Suppose 4*y**p + 8*y - 10*y - y**3 - y**3 = 0. Calculate y.
0, 1
Suppose 13*t = 14*t - 37. Let t - 14*l - 63 + l**2 + 26 = 0. What is l?
0, 14
Let j(t) be the first derivative of -10*t**3/3 - 269*t**2/3 + 12*t - 4363. Determine k, given that j(k) = 0.
-18, 1/15
Let t(y) be the third derivative of y**6/450 - 8*y**5/25 + 96*y**4/5 + 1