o**4/40 + 14*o**3 + 2576*o**2. Factor v(s).
-3*(s - 35)*(s + 4)/5
Let d(r) be the third derivative of -9/20*r**5 - 1/4*r**6 + 12*r**2 + 6*r - 3/70*r**7 + 0 + 0*r**3 - 1/4*r**4. Factor d(y).
-3*y*(y + 1)*(y + 2)*(3*y + 1)
Let q = -284 - -285. Factor -61*t**2 + 5*t**4 + q + 56*t**2 - 1.
5*t**2*(t - 1)*(t + 1)
Let k(h) be the third derivative of h**5/240 - 95*h**4/96 + 50*h**2 + 15. Let k(i) = 0. Calculate i.
0, 95
Let z = 450653/101403 + 3/11267. Suppose 2/9*q**4 - 20/9*q**3 - 88/9*q + 22/3*q**2 + z = 0. What is q?
1, 2, 5
Let f be (8812/(-180646))/((-1)/41). Let r be 8/(-20) - 2/(-5). Factor 2/5*b**f + 0*b + r.
2*b**2/5
Let p(h) = -4*h**2 + 18*h - 18. Let g = 43 - 41. Let m(k) = 9*k**2 - 34*k + 35. Let t(z) = g*m(z) + 5*p(z). Determine b, given that t(b) = 0.
1, 10
Suppose -5*l**5 - 139*l**4 - 15570*l**2 + 1655*l**3 + 2549*l - 8625 + 18026*l + 2255*l**3 - 146*l**4 = 0. Calculate l.
-69, 1, 5
Let h(d) be the third derivative of 53*d**8/84 + 208*d**7/105 - 19*d**6/10 - 104*d**5/15 + 2*d**4/3 - 3831*d**2. Find u, given that h(u) = 0.
-2, -1, 0, 2/53, 1
Let r(d) be the first derivative of 225*d**4 + 3072*d + 4800*d**2 + 27/5*d**5 - 103 + 2692*d**3. Solve r(z) = 0.
-16, -2/3
Let b be (-63)/(-643860)*73*70. Factor 0 + 512*h + b*h**3 - 32*h**2.
h*(h - 32)**2/2
Let d(g) be the first derivative of -g**4/6 + 1546*g**3/3 - 597529*g**2 + 923779834*g/3 - 7266. Factor d(v).
-2*(v - 773)**3/3
Suppose 383*n**4 - 297*n**2 - 127*n**4 - 62 - 126*n**4 - 339*n - 123*n**4 - 188*n**2 - 201*n**3 = 0. What is n?
-1, -2/7, 31
Let a(s) be the third derivative of 17*s**3 - 21*s**2 + 0 + 0*s - 4/5*s**5 - 19/8*s**4 + 1/40*s**6. Determine m, given that a(m) = 0.
-2, 1, 17
Let z be (-34)/(-14) + 14 + 94/(-7). Let r(n) be the first derivative of -n + 1/4*n**4 - 1/2*n**2 + 1/3*n**z + 9. Solve r(t) = 0 for t.
-1, 1
Let y(l) = -17*l**2 + l - 2. Let c(d) = 73*d**2 + 416*d - 1297. Let g(s) = c(s) + 4*y(s). Let g(n) = 0. What is n?
-87, 3
Let h(g) be the first derivative of -4*g**3/7 - 191*g**2/7 + 64*g/7 - 3890. Find z, given that h(z) = 0.
-32, 1/6
Let n(l) be the first derivative of -2*l**3/3 + 636*l**2 - 202248*l + 2043. What is y in n(y) = 0?
318
Let d(w) = 8*w**3 - 2*w**2 - 2*w. Let r(t) be the third derivative of -t**5/60 - t**4/24 + 4*t**2 - t. Let m(a) = -d(a) - 2*r(a). Suppose m(n) = 0. Calculate n.
-1/2, 0, 1
Let x be (-20)/(-24)*(-9)/(-2). Let y be ((-112)/224)/(-2*1). Factor 9/4 + x*t + y*t**3 + 7/4*t**2.
(t + 1)*(t + 3)**2/4
Factor 13*n + 14*n + 61021*n**3 - 117*n**2 + 1053 - 61024*n**3.
-3*(n - 3)*(n + 3)*(n + 39)
Let o(y) be the second derivative of -y**4/6 - 1006*y**3/3 - 253009*y**2 - 480*y - 3. Factor o(c).
-2*(c + 503)**2
Let v(h) be the second derivative of -17*h + h**2 - 1/10*h**3 + 1/50*h**6 + 0 - 1/10*h**4 + 1/100*h**5. Let w(x) be the first derivative of v(x). Factor w(n).
3*(n - 1)*(n + 1)*(4*n + 1)/5
Let p(w) = w**3 - 3*w**2 + 7*w - 15. Let y be p(3). Let b be (y/(-4))/((-9)/2). Determine n, given that 2/9 + 0*n**4 + b*n - 4/9*n**3 + 1/9*n**5 - 2/9*n**2 = 0.
-1, 1, 2
Let o(h) = h**2 - 23*h - 47. Let z be o(25). Determine k, given that z*k**3 + 18 - 20*k**2 - 16*k + 14*k**3 - 10*k**3 - 2 + 5*k**3 = 0.
-1, 2/3, 2
Solve 22/15*y - 2/15*y**2 + 8 = 0 for y.
-4, 15
Suppose 23*p + 565 - 680 = 0. Let w(r) be the first derivative of 1/14*r**4 + 13 - 2/35*r**p + 0*r - 1/7*r**2 + 2/21*r**3. Factor w(c).
-2*c*(c - 1)**2*(c + 1)/7
Factor -1703*p**2 + 887*p**2 + 861*p**2 + 60 - 280*p.
5*(p - 6)*(9*p - 2)
Determine o, given that -3*o**2 + 29*o - 81*o - 59*o - 65*o - 34*o + 432 = 0.
-72, 2
Let p(s) = -4209*s - 8413. Let j be p(-2). Let -36/7*f**4 + 0*f**2 + 8/7*f - 10/7*f**j - 34/7*f**3 + 0 = 0. What is f?
-2, -1, 0, 2/5
Let p(r) be the second derivative of 1/3*r**4 - 9/5*r**5 + 6*r**3 - 12*r - 2/15*r**6 + 1 + 0*r**2. Solve p(s) = 0.
-9, -1, 0, 1
Let m(o) be the first derivative of 9/20*o**4 + 0*o - 43 + 0*o**2 - 2/5*o**3 + 24/25*o**5 + 3/10*o**6. Determine s so that m(s) = 0.
-2, -1, 0, 1/3
Let z(c) be the first derivative of -40/3*c**2 - 56 - 85/3*c + 5/9*c**3. Factor z(t).
5*(t - 17)*(t + 1)/3
Let t be 4/28 - 1766/14. Let y be (-25)/(-7) - 54/t. Let 51 - 40*s**y - 142*s**3 + 20*s**2 - 18*s**5 + 56*s - 67 + 68*s**5 = 0. Calculate s.
-1, 2/5, 2
Let m(g) be the second derivative of -3*g**5/110 - g**4/2 - 32*g**3/11 - 84*g**2/11 - g + 192. Solve m(v) = 0 for v.
-7, -2
Let j(z) be the first derivative of -27*z**5/5 - 51*z**4/2 + 13*z**3 + 201*z**2 + 288*z - 14488. Let j(s) = 0. What is s?
-3, -16/9, -1, 2
Let y(o) = 9*o**2 - 700*o - 701. Let q(k) = -190*k**2 + 14700*k + 14720. Let w(i) = -4*q(i) - 85*y(i). Factor w(n).
-5*(n - 141)*(n + 1)
Factor -728/5 - 2/5*c**2 - 16*c.
-2*(c + 14)*(c + 26)/5
Let u(x) be the second derivative of -687*x**5/20 - 231*x**4/4 - x**3 - 2448*x. Solve u(d) = 0 for d.
-1, -2/229, 0
Let g be 786/(-18) + (-3)/(-9)*2. Let o = g - -46. Factor 4*x + 8*x**2 - 1 - 6 + o - 9*x**2.
-(x - 2)**2
Let z(j) = -25*j**3 - 83*j**2 - 14*j + 29. Let o(u) = 22*u**2 + 15 - 21*u**3 + 9*u**3 + 13*u**2 - 6*u - 77*u**2. Let b(w) = -5*o(w) + 3*z(w). Factor b(l).
-3*(l + 1)*(l + 2)*(5*l - 2)
Suppose -3*x = -d + 41, 3*d - 281*x - 58 = -277*x. Find l such that 0 - 3/4*l - 1/4*l**d = 0.
-3, 0
Let j be ((-72)/243)/((-200)/60). Let q(r) be the first derivative of 7/9*r**2 + 8 + 1/9*r**4 - 4/9*r - 16/27*r**3 - 1/27*r**6 + j*r**5. Factor q(u).
-2*(u - 1)**4*(u + 2)/9
Let a(d) = -5*d**3 - 55*d**2 - 35*d - 10. Let r(t) = 5*t**3 + 57*t**2 + 28*t + 8. Let p(h) = -4*a(h) - 5*r(h). Factor p(w).
-5*w**2*(w + 13)
Let k(o) be the third derivative of o**7/350 - 1473*o**6/200 + 72471*o**5/10 - 5990495*o**4/2 + 35294700*o**3 + 418*o**2. Let k(u) = 0. Calculate u.
3, 490
Let b be 11809/(-42) - (-5)/(-6). Let l = b + 848/3. Find r, given that -l*r + 1/6*r**2 + 2/3 = 0.
2
Let q be (-18)/(-48) - 3315/136. Let b be (q/(-15))/(15/60). Factor -b*f + 48/5 + 4/5*f**2.
4*(f - 6)*(f - 2)/5
Let s(r) be the third derivative of -r**6/480 + 11*r**5/240 - r**4/4 + 364*r**2. Suppose s(w) = 0. Calculate w.
0, 3, 8
Let b be (70/(-5) - -5) + 3. Let x(w) = -w**3 - w**2 + 4*w + 1. Let u(k) = 4*k**3 + 4*k**2 - 14*k - 4. Let q(i) = b*u(i) - 20*x(i). Factor q(r).
-4*(r - 1)*(r + 1)**2
Let i(y) be the first derivative of y**4/4 - 2*y**3/3 + 2*y**2 + 4*y - 14. Let w be i(0). Factor 10*l**3 - 8*l**2 + 2046 - 2*l**w - 2046.
-2*l**2*(l - 4)*(l - 1)
Suppose 9*s + 10 = 46. Let r be s/4 - 63/72. Find n, given that 0*n**4 - 3/8*n**3 + 0*n + 1/4*n**2 + r*n**5 + 0 = 0.
-2, 0, 1
Let g(w) be the third derivative of -w**6/90 + 4*w**5/3 - 200*w**4/3 - 11*w**3/3 - 40*w**2 + 2. Let o(n) be the first derivative of g(n). Factor o(f).
-4*(f - 20)**2
Suppose 0 = 1434*h + 1307 - 1307. Factor 2/3*o**5 - 22/3*o**4 + 16*o**3 + 0*o**2 + 0 + h*o.
2*o**3*(o - 8)*(o - 3)/3
Let w(q) be the third derivative of q**7/2520 - q**6/72 + 21*q**3/2 - 47*q**2. Let x(p) be the first derivative of w(p). Factor x(z).
z**2*(z - 15)/3
Let f be (2958/(-1160) - 19/(-5)) + (-14)/(-8). Find b such that -21*b**2 + 24*b**4 - 3 - 21/2*b**5 - 6*b**f + 33/2*b = 0.
-1, 2/7, 1
Factor -16*f - 98*f**2 + 3*f**3 + 87*f**2 - 14*f + 0*f**3 - 4*f**3.
-f*(f + 5)*(f + 6)
Let c(q) be the second derivative of -5/2*q**2 + 0 + 1/9*q**3 + 1/36*q**4 + 55*q. Factor c(t).
(t - 3)*(t + 5)/3
Let p(i) be the first derivative of i**5/20 + 13*i**4/16 + 11*i**3/12 - 13*i**2/8 - 3*i - 665. Suppose p(q) = 0. What is q?
-12, -1, 1
Let t(m) be the second derivative of 4*m**6/315 + 19*m**5/210 - 4*m**4/63 - 5*m**3/21 + 2*m + 103. Let t(r) = 0. What is r?
-5, -3/4, 0, 1
Let l(q) be the first derivative of -q**5/30 - q**4/6 + 4*q**3/9 + 46*q - 120. Let r(o) be the first derivative of l(o). Suppose r(y) = 0. What is y?
-4, 0, 1
Find s, given that 168*s + 42*s**2 - 130327 - 2*s**3 + 5*s**3 + 130519 = 0.
-8, -4, -2
Suppose 8*p + 17*p + 50 = 0. Let t be (-102)/(-12) + p + -4. Let 1/2*v**2 - 7/8*v**5 + 0 + 23/8*v**4 - t*v**3 + 0*v = 0. Calculate v.
0, 2/7, 1, 2
Suppose -3/4*l**5 - 3/4*l - 27/2*l**4 - 27/2 + 27*l**2 + 3/2*l**3 = 0. What is l?
-18, -1, 1
Factor 296 - 1549*w**2 + 1635*w**2 + 355 + 217 + 2*w**3 - 954*w**2 - 2*w.
2*(w - 434)*(w - 1)*(w + 1)
Factor 12730*d**3 + 8*d**2 + 12739*d**3 - 38238*d**3 + 392*d**5 + 12745*d**3 - 126*d**4.
2*d**2*(4*d + 1)*(7*d - 2)**2
Let j(l) = -5*l**2 - 753*l + 751