e third derivative of 0 - 1/8*p**s + 1/28*p**7 - 9/80*p**6 - 1/224*p**8 + 7/40*p**5 - 2*p**2 + 0*p**3 + 0*p. Factor b(y).
-3*y*(y - 2)*(y - 1)**3/2
Let a = -333 + 335. Factor 1 + 2*i**3 + 92*i**2 + 8*i - 82*i**a - 1.
2*i*(i + 1)*(i + 4)
Let u(t) be the first derivative of t**4/30 - 996*t**3/5 + 2232036*t**2/5 - 2223107856*t/5 - 1268. Factor u(s).
2*(s - 1494)**3/15
Let c(l) be the third derivative of 9*l**7/35 - 1503*l**6/40 - 1533*l**5/8 - 38575*l**4/96 - 5375*l**3/12 - 2015*l**2. Solve c(r) = 0.
-5/6, 86
Let u = -193678 + 2517816/13. What is b in 40/13*b + 200/13*b**2 + u = 0?
-1/10
Let k(m) be the third derivative of m**7/350 - m**6/25 - 207*m**5/50 + 108*m**4 + 945*m**3/2 + 6698*m**2 - m. What is c in k(c) = 0?
-21, -1, 15
Let k(g) be the second derivative of 625*g**7/42 + 25*g**6 - 75*g**5/4 - 190*g**4/3 - 40*g**3 - 708*g - 1. Let k(l) = 0. Calculate l.
-4/5, -3/5, 0, 1
Let i = -7440211/11 + 676383. Solve -4/11*l**4 + i*l - 2/11 - 2/11*l**3 + 6/11*l**2 = 0.
-1, 1/2, 1
Suppose 12*t + 4*k = 15*t + 43, 11*k - 149 = -2*t. Suppose 1/9*o**t - 2/3*o**2 + 1/9*o**4 - 4/9*o + 8/9 = 0. What is o?
-2, 1, 2
Let f = -85794 + 85796. Factor -1/3*q**5 - 17/3*q**2 + 0 + 5*q**3 - q**4 + f*q.
-q*(q - 1)**3*(q + 6)/3
Let z(s) be the first derivative of s**5/5 - 11*s**4/2 - s**3 + 34*s**2 - 44*s - 2029. Let z(o) = 0. Calculate o.
-2, 1, 22
Suppose 44 = 5*c + 24. Find y, given that 1 + 9 - 5*y**2 - y**4 + 3*y**4 + 15*y - 7*y**c - 15*y**3 = 0.
-2, -1, 1
Let m(f) = 4*f**2 + 8931*f + 4946166. Let z(x) = 2*x**2 + 4469*x + 2473082. Let d(h) = 3*m(h) - 5*z(h). Factor d(l).
2*(l + 1112)**2
Let q be 4/(-6)*12/(-7). Let n = 71/154 - 7/22. Factor -q*w - 1/7*w**2 + n*w**3 + 12/7.
(w - 2)**2*(w + 3)/7
Determine n so that -n**2 - 4*n**2 - 1449 - 10048*n + 13093*n - 4621 = 0.
2, 607
Factor -25*t + 1/8*t**2 + 0.
t*(t - 200)/8
Suppose 4*a - 30 = 3*j, -2*j + 3 - 1 = a. Suppose 7*l + 1643*l**2 - 25*l - 1646*l**2 - a*l = 0. What is l?
-8, 0
Let n be 57/(-3800)*4/(-9). Let t(v) be the third derivative of 0*v + 0 + 0*v**3 - n*v**5 - 1/60*v**4 - 11*v**2. Solve t(b) = 0 for b.
-1, 0
Let p(h) be the first derivative of h**5/5 - 33*h**4/4 + 21*h**3 - 31*h**2/2 + 7885. Suppose p(u) = 0. What is u?
0, 1, 31
Let 49*p - 321*p**3 - 6*p**4 - 16*p - 17*p - 19*p + 495*p**2 - 165 = 0. What is p?
-55, -1/2, 1
Let 964 + 1435*d - 1414 + 174*d**3 - 139*d**3 + 480*d**2 = 0. What is d?
-9, -5, 2/7
Let a(y) be the first derivative of 0*y - 11/3*y**4 + 56/45*y**5 - 448/27*y**3 + 79 - 128/9*y**2 - 2/27*y**6. Factor a(w).
-4*w*(w - 8)**2*(w + 1)**2/9
Let q(t) = -40*t - 355. Let h be q(-9). Let k(f) be the first derivative of 2/15*f**3 + 3 + 0*f + 1/5*f**4 + 2/25*f**h + 0*f**2. Factor k(y).
2*y**2*(y + 1)**2/5
Let q = 12 - 4. Let w = 10 - q. Factor -d - 2*d**2 - d**2 - w*d + 13 + 5.
-3*(d - 2)*(d + 3)
Let u = -310 + 312. What is l in 57*l + 26*l**2 - 30 + 4 + 8 - u*l**4 - 78 - 8*l**3 + 23*l = 0?
-4, 1, 3
Let m(n) be the first derivative of n**3 - 135*n**2/2 + 378*n + 7935. Suppose m(i) = 0. Calculate i.
3, 42
Let u(a) be the first derivative of 3*a**5/10 + 21*a**4/8 + 11*a**3/2 - 21*a**2/4 - 18*a + 3885. Let u(i) = 0. What is i?
-4, -3, -1, 1
Let v(m) be the second derivative of 47*m + 4/9*m**3 + 0*m**2 + 1/7*m**7 - 3 - 13/30*m**5 + 16/45*m**6 - 8/9*m**4. Let v(r) = 0. What is r?
-2, -1, 0, 2/9, 1
Let b(x) = -x**2 + x + 1. Let t be (-3)/(((-84)/(-16))/(-7)). Let n(s) = 26*s**2 + 29*s - 1. Let m(j) = t*b(j) - n(j). Determine d, given that m(d) = 0.
-1, 1/6
Let n(o) = -116*o**2 - 698*o - 9. Let g be n(-6). Determine i, given that -1/4*i**2 - 5 - 4*i + 1/4*i**g = 0.
-2, 5
Let w be 8/1 - 50/(-110)*-11. Let v(n) be the third derivative of -1440*n**3 + 0*n + 1/24*n**6 + 90*n**4 + 0 - w*n**5 - 6*n**2. Solve v(y) = 0.
12
Let x(y) = -55*y**2 - 198*y + 355. Let a(g) = -6*g**2 + g - 7. Let v(z) = -36*a(z) + 4*x(z). Factor v(j).
-4*(j - 2)*(j + 209)
Let a(y) be the third derivative of -y**8/1680 + 29*y**6/600 - 4*y**5/25 - 7*y**4/30 + 8*y**3/5 + 546*y**2. Let a(h) = 0. Calculate h.
-6, -1, 1, 2, 4
Let y(h) be the first derivative of 3*h**4/20 - 207*h**3/5 + 42849*h**2/10 - 985527*h/5 - 1845. Determine a so that y(a) = 0.
69
Let w be (-6 + (0 - -6))/(6*9/(-27)). Factor -4/3*x**3 + w - 8/3*x**2 + 0*x.
-4*x**2*(x + 2)/3
Determine z, given that -3/2*z**3 - 279 - 36*z**2 + 633/2*z = 0.
-31, 1, 6
Let y(i) be the third derivative of i**5/420 + 85*i**4/84 + 169*i**3/42 + 734*i**2. Solve y(v) = 0.
-169, -1
Let x(y) be the second derivative of y**8/1680 - 17*y**6/360 - 3*y**5/10 - 5*y**4/6 - 7*y**3 - 15*y + 1. Let c(b) be the second derivative of x(b). Factor c(r).
(r - 5)*(r + 1)*(r + 2)**2
Let t(r) be the second derivative of r**5/80 - 10*r**4/3 + 317*r**3/24 - 79*r**2/4 + r + 135. Solve t(q) = 0.
1, 158
Find n, given that 0 + 7/3*n**2 + 1/3*n**4 - n - 5/3*n**3 = 0.
0, 1, 3
Let f(z) be the second derivative of 3*z**5/80 + 147*z**4/8 + 585*z**3/8 + 219*z**2/2 + 5673*z. Find w such that f(w) = 0.
-292, -1
Let t(o) = -8*o**4 - 78*o**3 - 199*o**2 - 117*o. Let x(i) = 55*i**4 + 545*i**3 + 1390*i**2 + 820*i. Let w(r) = -20*t(r) - 3*x(r). Solve w(v) = 0.
-12, -2, -1, 0
Let n = 103201/20 + -5160. Let i(y) be the third derivative of 0*y - 1/70*y**7 + 0*y**5 - 1/4*y**4 - 24*y**2 + 0 + n*y**6 + 1/2*y**3. Factor i(s).
-3*(s - 1)**3*(s + 1)
Let v(j) be the first derivative of j**7/420 + j**6/90 - 28*j**3 + 3. Let k(f) be the third derivative of v(f). Factor k(d).
2*d**2*(d + 2)
Suppose 284 = 13*s - 587. Factor s - 47 + 4*n**2 - 36.
4*(n - 2)*(n + 2)
Let w(z) be the first derivative of -z**6/144 + 11*z**5/30 - 299*z**4/48 + 169*z**3/18 + 77*z**2/2 + 20. Let k(r) be the second derivative of w(r). Factor k(o).
-(o - 13)**2*(5*o - 2)/6
Let v be (-252)/(-14) + -2*(-2 - 1). Let 0 + 4 - 16 - f**2 + 17*f + v*f - 48*f = 0. Calculate f.
-4, -3
Let b be (-20607)/27 + (-4)/(-18). Let n = b - -6869/9. Find h, given that n*h**3 - 4/9*h**2 + 0 + 2/9*h = 0.
0, 1
Let k(u) be the second derivative of -u**7/945 + u**6/90 - 11*u**5/270 + u**4/18 + 38*u**2 - 52*u. Let b(c) be the first derivative of k(c). Factor b(v).
-2*v*(v - 3)*(v - 2)*(v - 1)/9
Let w = 148 + -146. Let u(j) be the second derivative of 0*j**3 + 0 + 1/32*j**4 + 1/80*j**6 + 3/80*j**5 + 0*j**w + 16*j. Solve u(z) = 0.
-1, 0
Suppose -j + w - 17 - 9 = 0, j = -2*w - 23. Let r = j + 33. Factor r + 3*q - 4*q + 2*q**2 - 8*q + q.
2*(q - 2)**2
Let a be 28*(3 + 92/(-16)). Let w = a - -263/3. Solve 0*u - w*u**2 + 2/3 = 0 for u.
-1/4, 1/4
Let r(i) be the second derivative of -i**5/190 + 223*i**4/57 - 16724*i**3/19 + 98568*i**2/19 - 79*i - 42. Solve r(q) = 0 for q.
2, 222
Let z(m) = -42*m**3 - 92*m**2 - 61*m - 2. Let w(u) = -41*u**3 - 91*u**2 - 63*u - 1. Let d(x) = 3*w(x) - 4*z(x). Factor d(l).
5*(l + 1)**2*(9*l + 1)
Suppose 3*z = -12*g + 9*g + 1560, -1560 = -3*z + 4*g. Let p be ((32/z)/2)/((-2)/(-10)). Let -4/13 + 2/13*n**2 + p*n = 0. What is n?
-2, 1
Let n(r) = -10*r**2 + 2044*r - 9968. Let o be n(5). What is h in -2/5*h**o + 84/5*h + 86/5 = 0?
-1, 43
Let q(s) be the first derivative of -5*s**6/36 - 17*s**5/30 + 7*s**4/2 + 8*s**3/9 - 32*s**2/3 - 8*s - 4814. Suppose q(i) = 0. What is i?
-6, -1, -2/5, 2
Let r = -224 - -243. Solve -37*x - r*x + 22 - 28*x**2 - 10 - 24*x = 0.
-3, 1/7
Let s = -6311 - -6313. Let m(z) be the first derivative of 0*z - 3/10*z**4 - 1/5*z**s - 2/25*z**5 - 2/5*z**3 - 22. Factor m(q).
-2*q*(q + 1)**3/5
Let u = 193265/143 - 17475/13. Find y such that 800/11 + u*y + 2/11*y**2 = 0.
-20
Find i such that -18/7*i - 6*i**2 + 34/7*i**3 + 0 - 6/7*i**4 = 0.
-1/3, 0, 3
Let i(h) be the second derivative of h**7/630 + h**6/90 - h**5/2 - h**4/6 + 20*h**3/3 + h - 14. Let w(c) be the third derivative of i(c). Factor w(n).
4*(n - 3)*(n + 5)
Let q(c) be the second derivative of c**8/168 - 4*c**7/105 - c**6/12 - 26*c**2 - 13*c. Let u(j) be the first derivative of q(j). Let u(x) = 0. Calculate x.
-1, 0, 5
Let k(u) = u**3 - 4*u**2 + 2*u. Let o be k(5). Let f = o + -32. Factor 10*d - d**3 + 0*d**3 + 6*d**f - 15*d**2.
5*d*(d - 2)*(d - 1)
Suppose -2*b - 47 = -3*r, 3*b + 0 = -3*r + 72. Suppose -r*w = -14*w - 135. Let 45*t + 0*t**2 + 4*t**2 - 14*t**3 + w + 17*t**3 + 17*t**2 = 0. What is t?
-3, -1
Factor 66*a**2 + 2215*a**3 + 2216*a**3 + 442*a**2 - 4429*a**3.
2*a**2*(a + 254)
Let y be (20 + 4)/6 + -5 - -30