(l) be the second derivative of l**7/70 - 3*l**6/50 - 33*l**5/100 + 3*l**4/20 + l**3 - 2866*l. Find r, given that g(r) = 0.
-2, -1, 0, 1, 5
Let y(x) = -4*x + 18. Let l be y(6). Let m be (9 + (-208)/20)*l/21. Solve -12/5*i**2 - 2/5*i**3 + m*i + 12/5 = 0 for i.
-6, -1, 1
Let p(q) = -12*q**2 - 6*q + 10. Let u be p(-1). Let g(v) be the second derivative of -1/140*v**5 - 1/28*v**u - 5/14*v**2 + 0 - 12*v + 3/14*v**3. Factor g(m).
-(m - 1)**2*(m + 5)/7
Let g be 30/((4/(-6) + 1)/(-1)). Let x = 100 + g. Factor 3*u**4 - 10*u**3 + 3*u**5 - x*u**3 - 2*u**5 + 22*u**3.
u**3*(u + 1)*(u + 2)
Let -585362/9 + 2164/9*a - 2/9*a**2 = 0. What is a?
541
Let u = -2257 + 2257. Let g = 198 + -196. Factor 9/4*f**g + u*f**3 + 0 + 3/2*f - 3/4*f**4.
-3*f*(f - 2)*(f + 1)**2/4
Let j(y) be the third derivative of y**6/280 - y**5/10 + 57*y**4/56 - 36*y**3/7 + 1362*y**2 - 2*y. Solve j(l) = 0.
3, 8
Let u(g) be the second derivative of -2*g**4/9 - 82*g**3/9 - 38*g**2 + 323*g - 5. Solve u(v) = 0.
-19, -3/2
Factor 0 - 3*a + 1941/4*a**4 + 1944*a**2 - 7767/4*a**3.
3*a*(a - 2)**2*(647*a - 1)/4
Let v(z) be the second derivative of 361*z**5/4 + 10355*z**4/4 + 1080*z**3 + 170*z**2 - 8*z - 22. Factor v(d).
5*(d + 17)*(19*d + 2)**2
Let m be (-23 + 0)*(-7)/21*3. Suppose 22*a + 409 = m*a. Solve -3*q**4 - 399*q**3 + a*q**3 + 8*q**4 = 0 for q.
-2, 0
Suppose -120249*n + 120142*n = -321. Solve 16/13*h**2 + 2/13*h**n + 0 - 18/13*h = 0 for h.
-9, 0, 1
Let c(u) = -156*u - 13257. Let k be c(-85). Factor 388800/7*o - 15768/7*o**2 - 1/7*o**4 + 31*o**k - 373248/7.
-(o - 72)**3*(o - 1)/7
Suppose 0 = -4*a - 4 + 28. Suppose 19 = y + 5*g - a, 2*g + 18 = y. Factor 2 + 19*x**2 + 3*x + 2 - y*x**2.
-(x - 4)*(x + 1)
Let m(q) be the first derivative of 3*q**4/20 - 229*q**3/5 + 342*q**2/5 + 444. Let m(i) = 0. Calculate i.
0, 1, 228
Let u(j) be the first derivative of j**6/8 - 81*j**5/20 - 18*j**4 + 43*j**3 + 90*j**2 - 4749. Find h, given that u(h) = 0.
-4, -1, 0, 2, 30
Suppose 18*d + 32 = 26*d. Let x be ((-17)/((-952)/(-16)))/(-2). Factor -5/7*l**3 - 2/7 - x*l**d - 9/7*l**2 - l.
-(l + 1)**3*(l + 2)/7
Let i be 4/5 - (-52)/910*385/(-30). Let p(f) be the first derivative of 0*f + 16 + 0*f**2 - 3/20*f**4 + 3/25*f**5 - 1/30*f**6 + i*f**3. Factor p(b).
-b**2*(b - 1)**3/5
Let p = -657/5 + 132. Let h = 22790 - 113949/5. Determine c, given that -h*c**2 + 0 - p*c = 0.
-3, 0
Let c(v) be the third derivative of -v**6/210 - v**5/105 + 4*v**4/7 - 24*v**3/7 - 1752*v**2. Factor c(d).
-4*(d - 3)*(d - 2)*(d + 6)/7
Solve 2565 + 769*l + 75*l**2 + 171*l**2 + 57*l**2 + 32*l**2 - 5*l**3 - 3664*l = 0.
1, 9, 57
Let j(g) be the first derivative of -g**4/12 + 182*g**3/9 - 179*g**2/2 + 3528. Factor j(h).
-h*(h - 179)*(h - 3)/3
Let n(f) be the first derivative of -23 + 0*f**2 + 2/3*f**3 - 17*f - 7/18*f**4 - 1/10*f**5. Let m(p) be the first derivative of n(p). Factor m(v).
-2*v*(v + 3)*(3*v - 2)/3
Let o(c) = 2*c**2 - 3962*c - 31822. Let r be o(-8). Let -38/9 - 2/9*f**r - 40/9*f = 0. What is f?
-19, -1
Let o(m) be the second derivative of -m**6/90 - 3*m**5/5 - 41*m**4/12 + 80*m**3/9 + 246*m + 3. Factor o(p).
-p*(p - 1)*(p + 5)*(p + 32)/3
Let p(l) be the third derivative of l**7/11340 - l**6/1080 - l**5/135 + l**4/4 + 5*l**3/6 + 4*l**2 - 28. Let c(s) be the second derivative of p(s). Factor c(z).
2*(z - 4)*(z + 1)/9
Let d = -901 - -908. Let g be -8 + 4 - 36/(1 - d). Factor -1/2*r**g - 2*r + 0.
-r*(r + 4)/2
Let g be -1 + ((-245)/147)/((-15)/24). Determine x so that g*x + 1/3*x**3 + 2/3 + 4/3*x**2 = 0.
-2, -1
Suppose -51 = -q - r - 8, -4*r - 28 = -q. Let g = q + -28. Let 11*o**4 - 3*o**3 - 8*o**4 + 3*o + g*o**3 + 9*o**2 = 0. What is o?
-1, 0
Let w(o) be the second derivative of 3/8*o**4 - 9/40*o**5 + 0*o**2 + 2 + 1/20*o**6 - 1/4*o**3 - 2*o. Suppose w(n) = 0. Calculate n.
0, 1
Let z(r) be the third derivative of -r**8/1680 - r**7/315 + r**6/180 + r**5/15 + 29*r**4/8 + 204*r**2. Let o(b) be the second derivative of z(b). Factor o(j).
-4*(j - 1)*(j + 1)*(j + 2)
Let h(r) = r**2 - 16*r - 77. Let v be h(20). Factor 4*n**5 + n**2 + 7*n**2 - 103*n**v + 195*n**3 - 96*n**3 - 8*n**4.
4*n**2*(n - 2)*(n - 1)*(n + 1)
Suppose 0 = 2*c - 4*d + 56, 389 = 4*c - 4*d + 445. Factor c - 2/11*b**2 + 4*b.
-2*b*(b - 22)/11
Let g(j) = j**2 - 13*j - 11. Let h be g(14). Let -h*x**3 + 3*x**3 - 13*x**2 + 23*x**2 - x**4 - 9 = 0. Calculate x.
-3, -1, 1, 3
Suppose 2*j - 158*a + 31 = -163*a, 5*j = -5*a - 25. What is o in 5/2*o**j + 5/6*o**5 + 0 + 5/6*o**3 - 5/3*o - 5/2*o**4 = 0?
-1, 0, 1, 2
Let t(j) be the third derivative of 5*j**8/14 + 169*j**7/105 + 23*j**6/60 - 39*j**5/5 - 47*j**4/3 - 40*j**3/3 + 4886*j**2. Suppose t(c) = 0. What is c?
-2, -1, -2/3, -2/5, 5/4
Let y be (-13)/(-7) - 2/2. Let r be 24 + -40 + 22/(-110)*-105. Find q such that 12/7*q**3 + 0*q**4 + y - 9/7*q - 6/7*q**2 - 3/7*q**r = 0.
-2, -1, 1
Let x(m) be the second derivative of -53/6*m**3 - 145*m + 2809/4*m**2 + 0 + 1/24*m**4. Factor x(y).
(y - 53)**2/2
Let l = -2450 + 2455. Let p(g) be the third derivative of 1/1365*g**7 - 1/130*g**l - 8*g**2 + 0*g + 1/390*g**6 + 0*g**4 + 0 + 0*g**3. Factor p(j).
2*j**2*(j - 1)*(j + 3)/13
Let h = 7595 - 4923. Find o, given that 4*o**2 + 244 - 48*o + h - 168*o = 0.
27
Let i(s) be the third derivative of s**5/160 - 13*s**4/32 - 27*s**3/16 + 26*s**2 - 9. Factor i(y).
3*(y - 27)*(y + 1)/8
Suppose -3*q = q, 5*q - 3 = 3*m. Let y be 3*m + -20 + 28. Factor -u**2 + 1 - 1/2*u**y - 3/2*u + 2*u**3 + 0*u**4.
-(u - 1)**3*(u + 1)*(u + 2)/2
Let m be (-49 - -50)/(2*(-2)/(-16)). Let v be (m/(-24))/(9/(-18)). Factor -5/3*p**3 - v*p + 0 + 2*p**2.
-p*(p - 1)*(5*p - 1)/3
Find g such that 17/2*g**3 + 0 - 1/4*g**4 + 9*g + 71/4*g**2 = 0.
-1, 0, 36
Let -2846*g**2 + 1093 - 2863*g**2 + 5705*g**2 - 205 + 284*g = 0. Calculate g.
-3, 74
Let n(r) be the first derivative of -81/11*r**2 + 0*r - 72/11*r**3 - 27/11*r**4 + 71 - 24/55*r**5 - 1/33*r**6. Factor n(c).
-2*c*(c + 3)**4/11
Find t such that 49752*t**4 - 99503*t**4 + 13*t + 49752*t**4 - 7*t**3 + 8*t**2 + 3*t = 0.
-1, 0, 4
Let z(x) = x**3 - x**2 + 10*x - 22. Suppose -8 = -f - 2*s, f - 2*s - 4 = -8. Let c be z(f). Factor 4*v**3 + 0*v + 0 - 2*v**c + 5/2*v**4.
v**2*(v + 2)*(5*v - 2)/2
Let q(x) be the second derivative of 5*x**4 - 27/10*x**5 - 1/14*x**7 + 0*x**2 - 4*x**3 + 7/10*x**6 + 21 + 5*x. Factor q(s).
-3*s*(s - 2)**3*(s - 1)
Let v = 60929 - 243715/4. Find t such that -v*t**3 - 25/4 - 35/4*t - 11/4*t**2 = 0.
-5, -1
Let g(v) be the second derivative of 13/12*v**3 + 7/2*v**2 + 3*v + 15 + 1/60*v**6 - 13/40*v**5 - 5/8*v**4. Suppose g(y) = 0. Calculate y.
-1, 1, 14
Let u be (9/(-3)*-1)/(36/24). Let q(k) = k**2 + k + 2. Let h(i) = 8*i**2 - 3*i + 39. Let m(t) = u*h(t) - 14*q(t). Solve m(d) = 0 for d.
5
Let r(a) be the second derivative of 3*a**7/7 - 863*a**6/5 - 436*a**5/5 + 1150*a**4/3 + 384*a**3 - 706*a - 1. Suppose r(c) = 0. Calculate c.
-2/3, 0, 1, 288
Let 135*u - 1645/2 - 5/2*u**2 = 0. Calculate u.
7, 47
Factor -5*c - 54*c + 75*c - 4*c + 0*c**2 + 9*c**2.
3*c*(3*c + 4)
Let f(x) = x**3 - 2*x**2 - 8*x. Let u be f(4). Suppose 3*o - 2*o = -3*m + 10, u = 3*m - 5*o - 4. Factor -5*h**4 - 12*h + 2*h + 2*h**2 + 10*h**3 + m*h**2.
-5*h*(h - 2)*(h - 1)*(h + 1)
Let a = -10250 + 717509/70. Let v(l) be the second derivative of 8/21*l**3 + 1/14*l**4 - 4/7*l**2 + 0 + 21*l - a*l**5. Factor v(w).
-2*(w + 1)*(3*w - 2)**2/7
Let b(x) = -31*x**3 - 248*x**2 + 491*x - 247. Let j(s) = -18*s**3 - 124*s**2 + 246*s - 124. Let g(w) = -4*b(w) + 7*j(w). Find p such that g(p) = 0.
1, 60
Factor 296 + 53/2*v + 1/2*v**2.
(v + 16)*(v + 37)/2
Find y such that -309971*y - 442356*y**2 - 127801*y - 1158*y**4 + 36445*y**3 - 3*y**5 - 150484*y**3 = 0.
-191, -2, 0
Let c = 26 - 26. Suppose c = 5*x - a - 41, -3*a - 43 = -0*x - 5*x. Factor -3*r + r - x*r**2 + 3*r - 3*r.
-2*r*(4*r + 1)
Let u(h) be the third derivative of h**7/70 + h**6/10 + h**5/5 + 7*h**2 + 60. Let u(k) = 0. Calculate k.
-2, 0
Suppose -2*b - 4*y + 1 + 111 = 0, 5*b = -4*y + 292. Let c = b - 48. Suppose c*o + o**5 - 4 + o**5 + 4*o**2 - 8*o**3 + 3*o - 9*o = 0. Calculate o.
-2, -1, 1
Let l be 15*(0 - -1)*(-12)/(-10). Let v be 2/((l/4)/9). Factor -3*x**3 - 38*x**2 + 3*x**3 - 40*x - 16 - 10*x**3 - x**v + 5*x**2.
-(x + 1)**2*(x + 4)**2
Let c(g) be the second derivative of -g**6/90 - g**5/20 + 11*g**4/18 + 4*g**3/3 + 2409*g. Find j, given that 