ivative of -l**5/12 + 785*l**4/12 + 1580*l**3/3 + 613*l**2. Let n(p) = 0. What is p?
-2, 316
Let k(x) = -41*x + 44. Let c be k(1). Factor 76 + f**c - 76*f**2 + 2*f - 8*f**3 + 5*f**3.
-2*(f - 1)*(f + 1)*(f + 38)
Let h = -11977 - -59888/5. Let v(r) be the first derivative of -h*r**2 - 31 - 2/15*r**3 + 4*r. Find z, given that v(z) = 0.
-5, 2
Let p(m) be the second derivative of -m**8/21 + 11*m**6/30 + 3*m**5/5 + m**4/3 - 48*m**2 - 3*m + 35. Let f(k) be the first derivative of p(k). Solve f(r) = 0.
-1, -1/2, 0, 2
Let g(h) be the third derivative of -h**5/210 + 151*h**4/84 + 152*h**3/21 - 4*h**2 - 3*h + 24. Determine s, given that g(s) = 0.
-1, 152
Let b = 92844/7 + -13263. Factor 3/7*m**3 + 1/7*m**2 - 1/7*m**4 + 0 - b*m.
-m*(m - 3)*(m - 1)*(m + 1)/7
Let q be (-3)/((1/2)/(8/(-24))). Factor 8*h**2 - 26*h**5 + 21*h**4 - 33*h**3 + 23*h**5 + 7*h**q.
-3*h**2*(h - 5)*(h - 1)**2
Suppose 0 = -5*s - 2*l + 12, -121*s - 5*l = -126*s + 40. Factor -16/3*a + 52/3*a**3 - 40/3*a**2 - 14/3*a**s + 0.
-2*a*(a - 2)**2*(7*a + 2)/3
Let s = 2876542/308199 - 6/102733. Determine p, given that -s*p**3 + 28/3*p + 5/3*p**4 + 4 - 17/3*p**2 = 0.
-1, -2/5, 1, 6
Let p(s) = 58*s**3 - 51*s**2 - 65*s + 113. Let m(k) = 47*k**3 - 51*k**2 - 64*k + 112. Let t(j) = -5*m(j) + 4*p(j). Factor t(c).
-3*(c - 18)*(c - 1)*(c + 2)
Factor 0 + 1/2*h**3 + 89/4*h + 179/4*h**2.
h*(h + 89)*(2*h + 1)/4
Let v be ((-8)/22)/(-120 + 133118/1111). Factor -24*t + 864 + 1/6*t**v.
(t - 72)**2/6
Let b = 79/468 + -10/117. Let o(c) be the second derivative of -b*c**4 + 2*c**2 + 2/3*c**3 + 0 - 1/20*c**5 - c. Factor o(n).
-(n - 2)*(n + 1)*(n + 2)
Let x(k) be the first derivative of 10*k**6/3 + 9*k**5 - 42*k**4 - 232*k**3/3 - 48*k**2 + 14*k + 37. Let j(f) be the first derivative of x(f). Factor j(b).
4*(b - 2)*(b + 3)*(5*b + 2)**2
Let s(k) = 36*k**3 + 221*k**2 - 1110*k + 264. Let y(i) = 69*i**3 + 441*i**2 - 2220*i + 528. Let v(o) = 15*s(o) - 8*y(o). Determine p so that v(p) = 0.
-22, 1/4, 4
Let -82/3*r**2 - 26/9 - 158/9*r - 2*r**3 = 0. What is r?
-13, -1/3
Suppose -2*z + t + 2*t + 19 = 0, 2*t = 2*z - 14. Factor -15*m**2 + 60 - 500*m + z*m**3 + 3*m**3 + 480*m + 0*m**3.
5*(m - 3)*(m - 2)*(m + 2)
Let q(b) = -14*b**2 - 8*b + 10. Let l(k) = 31*k**2 + 14*k - 19. Let u = 408 + -395. Let h(w) = u*q(w) + 6*l(w). What is m in h(m) = 0?
1, 4
Factor 2/9*b**3 + 656/9 + 52/3*b**2 - 72*b.
2*(b - 2)**2*(b + 82)/9
Let a(s) be the first derivative of s**4 - 40*s**3 + 504*s**2 - 1568*s + 1535. Find y, given that a(y) = 0.
2, 14
Let f = 104 - 114. Let a be ((f + 13)/((-12)/16))/(-1). Solve 108*z - 54/7 - 7986/7*z**a - 3960/7*z**2 + 9196/7*z**3 = 0 for z.
3/11, 1/3
Let j(x) = x**3 + 7*x**2 - 63*x - 365. Let f be j(-5). Let p(s) be the third derivative of -1/330*s**5 + 3*s**2 - 1/33*s**4 - 4/33*s**3 + f*s + 0. Factor p(n).
-2*(n + 2)**2/11
Suppose 3*s + 8 = -l - 5, 2*l = -3*s - 11. Let b(v) = -v**2 - 2*v + 1. Let z(y) = y**2 + 3*y - 3. Let i(d) = s*z(d) - 15*b(d). Determine m so that i(m) = 0.
-3/2, 0
Let f(z) = 5*z**4 - 174*z**3 + 623*z**2 - 758*z + 296. Let n(u) = -60*u**4 + 2090*u**3 - 7475*u**2 + 9095*u - 3550. Let y(g) = 25*f(g) + 2*n(g). Factor y(t).
5*(t - 30)*(t - 2)*(t - 1)**2
Let j(h) = -2*h - 16. Let r be j(-4). Let u = 10 + r. Solve 80*c + 88*c**u + 28*c**3 - c**4 + 2*c**4 + 3*c**4 - 16*c**2 + 32 = 0 for c.
-2, -1
Let d(w) = -w**3 - 12*w**2 - 33*w - 596. Let o be d(-13). What is u in 10/17*u - 12/17 - 2/17*u**o = 0?
2, 3
Suppose -12*k = -63*k + 204. Let r(m) be the second derivative of 0*m**2 + 0 + 18*m - 1/10*m**3 - 9/100*m**5 + 1/50*m**6 + 3/20*m**k. What is g in r(g) = 0?
0, 1
Let w(y) be the third derivative of -y**6/360 - 13*y**5/540 + 10*y**4/27 - 32*y**3/27 - 5990*y**2. Let w(a) = 0. What is a?
-8, 1, 8/3
Let k(q) be the first derivative of -q**6/3 - 14*q**5 + 37*q**4 - 4*q**3/3 - 73*q**2 + 74*q + 896. Suppose k(v) = 0. Calculate v.
-37, -1, 1
Solve 27811*o - 26635*o + 4*o**4 - 95*o**2 - 32*o**3 - 45*o**2 = 0 for o.
-6, 0, 7
Solve 219/5 - 6/5*t**2 + 87*t = 0.
-1/2, 73
Let z(j) = -11*j**2 + 1304*j - 5266. Let s(i) = -19*i**2 + 1306*i - 5259. Let d(a) = 2*s(a) - 3*z(a). Factor d(w).
-5*(w - 4)*(w + 264)
Let v be (10/6 + -2)/(2/(-102)). Let k = v + 14. Find n, given that k*n**5 + 39*n**2 + 76*n**3 + 69*n**5 + 48*n**2 - 16 - 220*n**4 - 32*n + 5*n**2 = 0.
-2/5, 1
Suppose -1793*s + 6*g - 108 = -1792*s, -5 = 2*g - 41. Factor 0 + 1/4*m**3 + s*m + 7/4*m**2.
m**2*(m + 7)/4
Let b(x) be the first derivative of -9/16*x**4 - 7/4*x**3 + 0*x - 3/4*x**2 - 29. Factor b(o).
-3*o*(o + 2)*(3*o + 1)/4
Suppose -193*r + 200 = -168*r. Let m(t) be the first derivative of -1/5*t**5 - r + 0*t**2 - 2/3*t**3 + 3/4*t**4 + 0*t. Factor m(v).
-v**2*(v - 2)*(v - 1)
Let l(z) be the third derivative of z**6/120 + 9*z**5/5 + 567*z**4/8 + 1215*z**3 + 107*z**2 - z - 1. Factor l(g).
(g + 9)**2*(g + 90)
Suppose 3*i**3 + 89676063*i - 79229131*i - 25823134988 + 2*i**3 - 136485660012 + 142194568*i - 47850*i**2 = 0. What is i?
3190
Factor -2/9*s**2 - 221778 + 444*s.
-2*(s - 999)**2/9
Let i(x) be the first derivative of -x**7/560 - x**6/80 + x**4/4 - 203*x**3/3 - 73. Let y(s) be the third derivative of i(s). Factor y(a).
-3*(a - 1)*(a + 2)**2/2
What is m in -2/15*m**3 - 997354514/15 - 1257698/5*m - 1586/5*m**2 = 0?
-793
Let u(k) be the first derivative of -k**7/14 + k**6/5 - k**4/2 + k**3/2 - 74*k - 32. Let n(a) be the first derivative of u(a). Determine z, given that n(z) = 0.
-1, 0, 1
Factor -390 - 2*j**3 + 239*j**2 - 334*j - 117*j**2 - 68*j**2.
-2*(j - 15)*(j - 13)*(j + 1)
Let j(r) = r**2 - 44*r + 437. Let o(u) = -u**3 - 43*u**2 - 47*u - 181. Let w be o(-42). Let s be j(w). Let -24/5*q + 13/5*q**s - 2/5*q**3 + 9/5 = 0. What is q?
1/2, 3
Suppose 11*c + 12 = 5*c. Let g be ((-48)/18)/8 - 1/c. Factor g*m**2 + 1/6 - 1/3*m.
(m - 1)**2/6
Suppose 650 = 14*r + 34. Factor -f - 42*f**2 + r*f**2 + 3*f.
2*f*(f + 1)
Let a(n) be the third derivative of n**8/420 - n**7/210 - 9*n**3 - 2*n**2 - 9. Let j(y) be the first derivative of a(y). Solve j(t) = 0 for t.
0, 1
Find x, given that -2*x**4 + 16/5*x + 0 + 33/5*x**3 + 1/5*x**5 - 8*x**2 = 0.
0, 1, 4
Let c(m) be the second derivative of 7*m**5/60 + 649*m**4/36 + 284*m**3/3 - 90*m**2 - 14*m - 90. Suppose c(f) = 0. Calculate f.
-90, -3, 2/7
Let q(s) be the first derivative of -2*s**5/75 - 19*s**4/30 - 14*s**3/9 - 17*s**2/15 - 635. Find r, given that q(r) = 0.
-17, -1, 0
Let v be ((-60)/(-36))/((-3)/(-81)). Suppose -49*a + 3*a**2 + v*a - 15*a**2 = 0. What is a?
-1/3, 0
Suppose -19*z - 3570 = -36*z. Let a be (252/z)/(1*3). Determine v, given that -2/5*v**2 + a*v**3 - 8/5*v + 8/5 = 0.
-2, 1, 2
Let t(b) = -b**2 + 8*b + 1. Let m be t(6). Let g(r) be the first derivative of 10*r - 15/2*r**2 + m - 70/3*r**3. Factor g(d).
-5*(2*d + 1)*(7*d - 2)
Let m(j) be the first derivative of j**3/12 + 245*j**2/8 - 249*j - 5560. Factor m(y).
(y - 4)*(y + 249)/4
Let g(t) be the third derivative of 1/12*t**5 + 2/105*t**7 + 11/120*t**6 + 0*t + 0*t**3 + 0 - 1/12*t**4 + 33*t**2. Factor g(a).
a*(a + 1)*(a + 2)*(4*a - 1)
Let q(t) be the first derivative of -2*t**3/33 + 46*t**2/11 - 90*t/11 + 1685. Let q(p) = 0. Calculate p.
1, 45
Suppose 12*z + 31 = 67. Determine o, given that -486 + 84*o**2 + 167*o + 353*o + 27*o - 147*o**z - 34*o = 0.
-2, 9/7
Let y(t) = 7*t**2 - 16*t - 44. Let x(h) = -6*h**2 + 15*h + 42. Suppose 2277*z = 2275*z + 6. Let k(d) = z*y(d) + 4*x(d). Factor k(i).
-3*(i - 6)*(i + 2)
Let w(d) be the third derivative of -d**7/105 - 74*d**6 - 246420*d**5 - 455877000*d**4 - 506023470000*d**3 - 1500*d**2. Factor w(c).
-2*(c + 1110)**4
Let f(d) be the first derivative of d**5/12 + 5*d**4/24 - 5*d**3/3 + 156*d**2 + 15. Let x(t) be the second derivative of f(t). Factor x(i).
5*(i - 1)*(i + 2)
Let x(y) be the third derivative of -y**6/60 - 61*y**5/30 - 285*y**4/4 - 1161*y**3 - 323*y**2 - 14. Suppose x(h) = 0. What is h?
-43, -9
Suppose -6*f = -8*f - 4. Let i be 3 + (4 - f/(-2)). Suppose 2*j**5 - 12*j - 8 - i*j**5 + 8*j**2 + 0*j**5 + 16*j**3 = 0. What is j?
-1, 1, 2
Let k be ((-8)/(-5 + 21))/((-3)/1512). Suppose 10*n - k = -11*n. Factor -n*z - 3/2*z**3 - 15/2*z**2 - 6.
-3*(z + 1)*(z + 2)**2/2
Solve 5*h**5 + 1268*h - 6*h**4 + 0*h**5 + 37*h**2 - 35*h**3 - 1274*h + 5*h**4 = 0 for h.
-3, 0, 1/5, 1, 2
Determine r so that -3 - 5*r + 5*r**3 + 7/4*r**4 + 5/4*r**2