- 1/420*i**5 + 0 + 5/6*i**4. What is a in l(a) = 0?
70
Let v(n) = -n**5 + n**4 + 6*n**3 - 6*n. Let u(r) = -3*r**5 + 3*r**4 + 17*r**3 - 17*r. Suppose 0*k - 5*k + 85 = 0. Let x(c) = k*v(c) - 6*u(c). Factor x(o).
o**4*(o - 1)
Let x(u) = -11*u**3 - 42*u**2 - 73*u + 36. Let m(h) = 20*h**3 + 85*h**2 + 145*h - 60. Let v(q) = 3*m(q) + 5*x(q). Factor v(c).
5*c*(c + 2)*(c + 7)
Let q(v) be the third derivative of -v**6/420 - 17*v**5/105 - 80*v**4/21 - 512*v**3/21 - 1132*v**2. Factor q(b).
-2*(b + 2)*(b + 16)**2/7
Let g be (9 + 1 - -1) + 3. Let p be g/((-700)/(-90))*(-10)/(-12). Suppose -p*r**3 + 3*r**2 + 6*r - 12 = 0. Calculate r.
-2, 2
Let j(n) be the second derivative of n**7/84 + 61*n**6/30 + 5737*n**5/40 + 16108*n**4/3 + 342784*n**3/3 + 1384448*n**2 - 1761*n. Let j(g) = 0. Calculate g.
-32, -13
Let b(l) = -l**3 + 7*l**2 - 6*l. Suppose 79*o - 48 = 71*o. Let y be b(o). Suppose y*a**2 + 8/17*a + 0 - 6/17*a**4 - 14/17*a**3 = 0. What is a?
-2, -1, 0, 2/3
Let i = -711692 - -4981846/7. Let -i*f**4 + 8/7*f - 8/7 - 10/7*f**3 + 10/7*f**2 + 2/7*f**5 = 0. Calculate f.
-2, -1, 1, 2
Let m(h) = -h**3 + 19*h**2 + 24*h - 77. Let p be m(20). Let d(z) be the second derivative of 8*z**p + 0*z**2 + 3/20*z**5 + 0 - 2*z**4 - 19*z. Factor d(w).
3*w*(w - 4)**2
Let i(q) be the second derivative of -q**5/5 + 9*q**4 + 164*q**3 - 544*q**2 + 2137*q. Factor i(a).
-4*(a - 34)*(a - 1)*(a + 8)
Let g(z) be the first derivative of z**7/2100 - z**6/225 + z**5/75 - 17*z**3/3 - 3*z**2/2 + 62. Let w(y) be the third derivative of g(y). Factor w(d).
2*d*(d - 2)**2/5
Let b be (5 - 15)/((-10)/28). Suppose b*k = 9*k. Factor 0*g - 2/11*g**2 + 2/11*g**3 + k.
2*g**2*(g - 1)/11
Let v(u) = 3*u**3 - 23*u**2 + 16*u + 57. Let k = 218 - 225. Let y(b) = -2*b**3 + 12*b**2 - 8*b - 28. Let p(t) = k*y(t) - 4*v(t). Let p(c) = 0. What is c?
-4, -2, 2
Suppose 2*a - 3*v = 135, 15 = 5*v - 0*v. Let z be 2 + a/21 - 3/7. Let 77*n - 45*n**3 - 77*n + 30*n**4 - 5*n**z + 20*n**2 = 0. Calculate n.
0, 1, 4
Suppose -3936 = -50*f - 3136. Let w(n) be the first derivative of -f + 2/21*n**3 - 3/7*n**2 - 20/7*n. Determine r, given that w(r) = 0.
-2, 5
Solve 420677 + 7*r**2 + 365492 - 7*r**2 + 2*r**2 - 2260*r - 147719 = 0.
565
Let o(q) = q**3 + 24*q**2 - 25*q + 4. Let f be o(-25). Solve 70 - 4 + f*p**2 + 30 + 44*p = 0 for p.
-8, -3
Let t be 3/(-9) - (88/(-12) - 5). Factor 38*a**2 - 91*a**2 - t*a + 45*a**2 + 20*a**3.
4*a*(a - 1)*(5*a + 3)
Solve -222*o**2 - 147*o**4 + 22*o - 8*o - 62*o**3 + 9 + 0*o + 398*o**3 + 10*o = 0.
-1/7, 3/7, 1
Let l = -12847/3 + 4299. Solve -5/3*t**2 + 0 - l*t = 0 for t.
-10, 0
Let i(n) = -5 + 13*n**3 - 29*n**2 - 12*n**2 + 32*n + 4*n**2. Let h(q) = 1871*q + 2 - 1887*q + 1 - 7*q**3 + 19*q**2. Let y(z) = 5*h(z) + 3*i(z). Factor y(v).
4*v*(v - 2)**2
Suppose -4448 + 2232*l + 1229*l**3 - 1921*l**3 - 6668*l**4 - 1552*l**3 + 677*l**2 + 10439*l**2 + 12*l**5 = 0. Calculate l.
-1, 2/3, 1, 556
Suppose 279 = -20*o + 79. Let u be 12/(-18)*5/o. Factor 0 - 1/3*w**3 + 2/3*w - u*w**2.
-w*(w - 1)*(w + 2)/3
Solve -31*h**5 - h**3 + 98*h**5 + 13*h**3 + 6*h**4 - 75*h - 32*h**5 - 36*h**5 - 70*h**2 = 0 for h.
-3, -1, 0, 5
Let y(z) be the third derivative of -z**6/120 + 35*z**5/12 - 29*z**4/4 - 1654*z**2. Let y(x) = 0. What is x?
0, 1, 174
Let o(s) be the third derivative of 98*s**3 + 0*s - 91/6*s**4 - 116*s**2 - 1/30*s**6 + 17/15*s**5 + 0. Suppose o(d) = 0. What is d?
3, 7
Let l be 0*((-13)/(-22) + 173/(-1903)). Factor 10/3*x + 2/3*x**2 + l.
2*x*(x + 5)/3
Suppose 0*h - 50 = -2*h + 5*o, 29 = 3*h + 4*o. Factor 8*x**2 + 18*x**2 - 7*x**3 + 14*x**2 - 8*x**3 - 10*x**4 - h*x.
-5*x*(x - 1)*(x + 3)*(2*x - 1)
Factor -2*u**5 - 590*u**2 + 901*u - 682*u - 206*u**3 - 400 + 5*u**5 - u**5 + 777*u + 198*u**4.
2*(u - 1)**3*(u + 2)*(u + 100)
Let h(o) be the second derivative of -10/7*o**2 + 0 - 2/7*o**4 + o**3 + 19*o + 1/70*o**5. Solve h(z) = 0 for z.
1, 10
Let d(z) = 6*z**2 - 185*z - 834. Let l be d(-4). Let 7/11 + 3/11*r**2 - l*r = 0. Calculate r.
1/3, 7
Let i(v) be the second derivative of v**7/84 - v**6/30 - 31*v**5/40 - 7*v**4/6 + 529*v. Factor i(p).
p**2*(p - 7)*(p + 1)*(p + 4)/2
Let u = -23101 + 23103. Let b(y) be the second derivative of -4/5*y**u - 2/5*y**3 + 18*y + 0 - 1/15*y**4. Factor b(i).
-4*(i + 1)*(i + 2)/5
Let v be ((-2)/8)/1*(-12)/9. Let s(u) = u**2 - 5*u + 6. Let f be s(6). Determine l so that f - 4*l + v*l**2 = 0.
6
Suppose -21*r + 8*r = -6*r + 28*r. Let g(c) be the second derivative of 3/10*c**4 + 0*c**2 + 1/5*c**3 + r + 9/50*c**5 - c + 1/25*c**6. Let g(i) = 0. What is i?
-1, 0
Let f(y) = 5362*y + 418238. Let z be f(-78). Factor 20*b + 212/3*b**z + 7/3*b**3 + 0.
b*(b + 30)*(7*b + 2)/3
Let b(c) be the second derivative of -c**4/15 - 106*c**3/15 - 104*c**2/5 + 2094*c. Find r, given that b(r) = 0.
-52, -1
Let z = 92 - 91. Let p(y) = -y**3 + y**2 + y. Let u(k) = 4*k**4 + 33*k**3 + 51*k**2 + 23*k. Let s(v) = z*p(v) + u(v). Factor s(d).
4*d*(d + 1)**2*(d + 6)
Suppose -7*p + 2*d - 141 = -8*p, -4 = -d. Let i be (p/105 - 1)/((-2)/(-5)). Factor 0*x**3 + 0*x + 4/3*x**2 - 2/3 - i*x**4.
-2*(x - 1)**2*(x + 1)**2/3
Let y(m) be the third derivative of -7/300*m**6 + 0*m - 2/525*m**7 - 2/75*m**5 + 1/840*m**8 + 0 + 0*m**4 + 0*m**3 + 43*m**2. Factor y(w).
2*w**2*(w - 4)*(w + 1)**2/5
Let z = -314806 - -1574056/5. Factor -5*g + z - 1/5*g**2.
-(g - 1)*(g + 26)/5
Factor 0*w - 2/13*w**5 - 12798/13*w**3 + 0 + 12482/13*w**2 + 318/13*w**4.
-2*w**2*(w - 79)**2*(w - 1)/13
Let l(p) = 80*p**2 - 210*p + 5545. Let q(g) = -49*g**2 + 104*g - 2772. Let s(r) = 3*l(r) + 5*q(r). Suppose s(o) = 0. What is o?
-37, 15
Factor -2649/2 + 663*w**2 - 3/4*w**3 - 2643/4*w.
-3*(w - 883)*(w - 2)*(w + 1)/4
Let b = -40037 - -160151/4. Determine f so that -3/2*f**3 + 0*f**4 + 0 + b*f + 3/4*f**5 + 0*f**2 = 0.
-1, 0, 1
Factor -18*y**2 - 151079008*y + 151079008*y + 27*y**3 + y**5 - 10*y**4.
y**2*(y - 6)*(y - 3)*(y - 1)
Let h(a) be the second derivative of 3/5*a**2 + 1/6*a**3 + 1/60*a**4 + 1 - 13*a. Solve h(o) = 0 for o.
-3, -2
Let y(q) be the first derivative of -2*q**6/3 - 56*q**5/5 + 86*q**4 - 656*q**3/3 + 262*q**2 - 152*q - 6645. Determine x, given that y(x) = 0.
-19, 1, 2
Solve -40*s**2 - 34 + 14370*s**3 - 85*s - 28742*s**3 - 16 + 14367*s**3 = 0.
-5, -2, -1
Let -1444/3 - 545*d**2 + 3686/3*d + 157/6*d**3 - 1/3*d**4 = 0. Calculate d.
1/2, 2, 38
Let -63739*c**2 + 855*c**3 + 3*c**5 + 12*c**5 + 600*c - 200*c**4 + 62469*c**2 = 0. Calculate c.
0, 1, 4/3, 5, 6
Let n(z) = z**4 - 2*z**2 - 2*z + 1. Let c(f) = 54*f**4 + 6*f**3 - 969*f**2 - 1206*f - 219. Let t(p) = -c(p) + 33*n(p). What is u in t(u) = 0?
-6, -1, -2/7, 7
Suppose 0 = -6*c - 144 + 156. What is m in 33 - 19*m**2 - 63*m - 9*m**3 + 19*m**c + 0*m**3 - 105*m**2 = 0?
-11, -1, 1/3
Let q(k) = 18*k - 365. Let v be q(21). Suppose -24*o + v + 83 = 0. Determine l, given that 0*l - 16/3*l**2 + 32/3 + 2/3*l**o + 0*l**3 = 0.
-2, 2
Let q(k) = -k**2 + 3*k + 40. Let a be q(5). Suppose 6*u - 2*u = w + 15, 0 = -4*w - 2*u + a. Factor 597*m**3 - 599*m**3 + 0*m**5 - m**4 + m**w.
m**3*(m - 2)*(m + 1)
Suppose 4*r = d + 3804, -909 - 33 = -r - 2*d. Let p be 2/25 + 1824/r. Factor 1/9*y - 1/9*y**4 + 1/3*y**3 - 1/3*y**p + 0.
-y*(y - 1)**3/9
Let w(g) = -g + 40. Let t be w(21). Suppose t*c = 14*c + 2*p + 5, -4*p + 11 = -3*c. Factor 1/3*a**c - 4/3*a**2 + a + 0.
a*(a - 3)*(a - 1)/3
Factor -394/9 + 395/9*q - 1/9*q**2.
-(q - 394)*(q - 1)/9
Let i be (-2 - (-7)/2)/((-9)/12). Let a(m) = -m - 2. Let s be a(i). Factor -6*o - 3*o**5 + 29*o**3 + 21*o**2 + 15*o**4 - 56*o**3 + s*o.
-3*o*(o - 2)*(o - 1)**3
Let v(k) = -4*k**2 + 3266*k - 1331704. Let s(x) = -9*x**2 + 6533*x - 2663404. Let f(t) = 4*s(t) - 10*v(t). Determine a, given that f(a) = 0.
816
Let p be -2 + -2 + -1 + 14352/2576. Find c such that 4/7*c - p*c**3 + 4/7*c**2 - 4/7 = 0.
-1, 1
Let z(p) = -8*p**3 + 48*p**2 + 194*p + 234. Let r(u) = -9*u**3 + 51*u**2 + 195*u + 233. Let o(s) = -12*r(s) + 14*z(s). Solve o(f) = 0 for f.
-3, -2, 20
Let f(s) be the third derivative of -330*s**2 + 3/70*s**5 - 17/84*s**4 - 2/21*s**3 + 0*s + 0. Factor f(i).
2*(i - 2)*(9*i + 1)/7
Let l(j) be the first derivative of 0*j + 1/7*j**6 + 81 + 0*j**2 + 9/35*j**5 + 3/28*j**4 + 0*j**3. Find t such that l(t) = 0.
-1, -1/2, 0
Let b(x) be the second derivative of 2*x**7/21 - 16*x**6/3 + 112*x**5/5 - 34*x**4/3 - 226*x**3/3 + 148*x**2 - 152*x + 1