 Let f be 3/(-60)*-8*q. Let f*w**2 - 1/5 + 1/5*w**5 - 1/5*w**4 - 2/5*w**3 + 1/5*w = 0. Calculate w.
-1, 1
Let i(h) be the second derivative of -h**4/36 - h**3/12 + 3*h**2/4 + 13*h - 41. Suppose i(k) = 0. Calculate k.
-3, 3/2
Let d = 11167/64040 + 1/1601. Let w(c) be the third derivative of 0*c + d*c**4 - 12*c**2 + 0 + 3/10*c**3 + 1/200*c**6 + 1/20*c**5. Factor w(n).
3*(n + 1)**2*(n + 3)/5
Let s(y) = 2*y**2 + 72*y - 1600. Let q(l) = 12*l**2 + 431*l - 9600. Let p(x) = 4*q(x) - 23*s(x). Determine d, given that p(d) = 0.
-50, 16
Let j = -54132 - -54135. Factor -16/3 + 10/3*t**2 + 4/3*t + 2/3*t**j.
2*(t - 1)*(t + 2)*(t + 4)/3
Let x(w) be the second derivative of -w**9/113400 - w**8/10080 - w**7/4725 + 19*w**4/6 + w**3/3 + 33*w. Let o(n) be the third derivative of x(n). Factor o(d).
-2*d**2*(d + 1)*(d + 4)/15
Let z be (10/55 - (-4)/(-22)) + 2. Factor 8*a + 2626 + 2*a**z - 2626.
2*a*(a + 4)
Let z(m) be the first derivative of -m**5/15 + 6*m**4 - 70*m**3/3 + 99*m**2 + m - 162. Let g(o) be the second derivative of z(o). Factor g(l).
-4*(l - 35)*(l - 1)
Factor -4620*y - 44*y**2 - 17986 + 27526 - 226*y**2 - 5*y**3 - 33740.
-5*(y + 10)*(y + 22)**2
Let c(k) be the third derivative of k**5/60 - 5*k**4/4 - 33*k**3/2 - 7*k**2 + 92*k. Factor c(m).
(m - 33)*(m + 3)
Let v(n) = -n + 8. Let h be v(-4). Let k be ((-4)/h)/((-4)/132). Factor -k*j + 226*j**2 - 5*j**3 + 0*j**3 - 210*j**2 + 2 - 2*j**3.
-(j - 1)**2*(7*j - 2)
Let r(g) = -3*g - 6. Let i be r(-4). Factor 225*y**2 + 218*y**2 + 2*y**4 - i*y - 10*y**3 - 429*y**2.
2*y*(y - 3)*(y - 1)**2
Let d be (99 + -99)*((-7)/2 - (-9)/3). Suppose -1/2*z**4 + d*z - 2 + 0*z**3 + 5/2*z**2 = 0. Calculate z.
-2, -1, 1, 2
Let m = -9793/3 + 19757/6. Factor 3/2*a**2 - 30 - m*a.
3*(a - 20)*(a + 1)/2
Factor 88*g**3 + 2/7*g**4 + 2121800/7*g + 63036/7*g**2 - 2185454/7.
2*(g - 1)*(g + 103)**3/7
Factor -56*b**3 - 543*b**2 + 128*b**2 - 3150*b + 184*b**3 - 61*b**3 - 62*b**3.
5*b*(b - 90)*(b + 7)
Let u(q) be the first derivative of -q**5/15 + 595*q**4/12 - 39203*q**3/3 + 7642993*q**2/6 + 15761198*q/3 - 3728. Solve u(j) = 0.
-2, 199
Let w be 152 + 9 + -9 - 1*-4. Let p = w + -154. What is s in 4/7*s**p + 2/7*s**3 + 0*s + 0 = 0?
-2, 0
Let q(u) = u**3 - 9*u**2 + 6*u. Let o(g) = -2*g**3 + 19*g**2 - 12*g. Let j = -177 - -173. Let f(m) = j*o(m) - 9*q(m). Let f(x) = 0. Calculate x.
0, 2, 3
Let o(m) be the first derivative of -m**7/126 + m**6/45 - 134*m - 67. Let h(g) be the first derivative of o(g). Factor h(t).
-t**4*(t - 2)/3
Let h(s) be the first derivative of 1/20*s**5 + 100/3*s**3 + 97 + 0*s + 0*s**2 - 5/2*s**4. Factor h(i).
i**2*(i - 20)**2/4
Factor -855/4 - 861/8*s - 3/8*s**2.
-3*(s + 2)*(s + 285)/8
Let q(b) be the first derivative of b**4/12 + 37*b**3/9 + 208*b**2/3 + 1280*b/3 + 4029. Factor q(t).
(t + 5)*(t + 16)**2/3
Find i such that 28 - 250/7*i**2 + 162*i + 12/7*i**3 = 0.
-1/6, 7, 14
Let p(f) be the third derivative of -f**5/60 - 967*f**4/24 - 161*f**3 - 129*f**2 - 31. Determine t, given that p(t) = 0.
-966, -1
Let -17/3*c + 1/9*c**2 - 106/9 = 0. Calculate c.
-2, 53
Suppose 0 = 7*c - 68 + 47. Factor 9*u**2 - u**4 - 7*u**4 + 0*u**4 - 11*u**3 + 6*u**4 + c*u**4 + 11*u - 10.
(u - 10)*(u - 1)**2*(u + 1)
Let t(b) be the third derivative of 0*b + 3*b**2 + 0*b**3 - 1/84*b**8 + 0*b**4 + 4/21*b**7 - 11/10*b**6 + 12/5*b**5 - 6. Determine x so that t(x) = 0.
0, 3, 4
Factor -1408/7 - 2/7*h**2 - 120/7*h.
-2*(h + 16)*(h + 44)/7
Let c be -7 - ((-2774)/95 + (25 - 10)). Factor 0*w**2 + c*w**3 + 0 - 2/5*w**4 + 0*w.
-2*w**3*(w - 18)/5
Let b(f) be the third derivative of -f**5/150 + 19*f**4/120 - 3*f**3/10 + 3*f**2 + 2*f - 16. Factor b(k).
-(k - 9)*(2*k - 1)/5
Suppose 31*c - 44*c + 130 = 0. Factor 15*b**3 - c*b**3 + 96*b**2 - 144*b + 4*b**4 + 39*b**3.
4*b*(b - 1)*(b + 6)**2
Let t(j) be the second derivative of j**5/130 - 16*j**4/39 + 89*j**3/39 - 58*j**2/13 + 42*j + 27. Factor t(n).
2*(n - 29)*(n - 2)*(n - 1)/13
Let f(p) be the first derivative of -p**7/840 + p**6/225 + p**5/150 - p**3 - p**2/2 - 13. Let v(r) be the third derivative of f(r). What is c in v(c) = 0?
-2/5, 0, 2
Let s(u) = 2*u**3 + 77*u**2 - 1961*u - 54. Let m be s(-56). Let a = 197 - 1769/9. Factor 2/9 + 2/9*j**m - a*j.
2*(j - 1)**2/9
Let y(z) = z**2 - 15*z + 46. Let t be (-24)/40*20/(-3). Let i be y(t). Let -3*r - 1/4*r**i - 9 = 0. What is r?
-6
Solve -796/3 - 5/3*d**2 - 664*d = 0 for d.
-398, -2/5
Suppose -13200*a - 2491 - 3028*a**2 + 12*a**4 - 38*a**3 - 162*a**3 - 14933 - 16*a**4 = 0. Calculate a.
-22, -3
Let u(k) be the first derivative of k**4/16 - 43*k**3/4 + 4095*k**2/8 + 4225*k/4 - 808. Find g such that u(g) = 0.
-1, 65
Let a(i) be the first derivative of 5*i**6/3 + 19*i**5 + 35*i**4/4 - 95*i**3/3 - 45*i**2/2 - 1335. Solve a(v) = 0 for v.
-9, -1, -1/2, 0, 1
Let y(l) be the second derivative of l**9/5040 - l**8/448 - l**7/60 - l**4/6 + 5*l**3/6 - l - 24. Let a(o) be the third derivative of y(o). Factor a(q).
3*q**2*(q - 7)*(q + 2)
Factor -486/7*z + 2/7*z**4 - 6*z**3 - 306/7*z**2 + 0.
2*z*(z - 27)*(z + 3)**2/7
Factor 849/2*j - 285 - 3/2*j**3 - 138*j**2.
-3*(j - 2)*(j - 1)*(j + 95)/2
Suppose 3 = 2*f + 29. Let d = f + 17. Determine l so that 97*l**d - 2*l**3 - 95*l**4 + 4*l**3 = 0.
-1, 0
Determine y so that 201*y + 2030*y**4 - 4058*y**4 + 195*y**3 + 2025*y**4 + 399*y**2 = 0.
-1, 0, 67
Let c(o) be the first derivative of 1/8*o**4 + 0*o**2 + 1/5*o**5 + 0*o**3 + 0*o + 1/12*o**6 - 90. Determine x so that c(x) = 0.
-1, 0
Factor 33*i**2 + 120 + 149*i + 10*i**2 + i**3 + 39*i**2 - 64*i**2 + 12*i**2.
(i + 1)*(i + 5)*(i + 24)
Let r be (-1*(-90)/(-16))/((7725/75)/(-824)). Factor -3/5 - 222/5*k**2 - r*k.
-3*(k + 1)*(74*k + 1)/5
Let s(u) = u**2 - 44*u + 365. Suppose -3*v + 105 = 2*f, f - 2 = 1. Let y be s(v). Suppose -6 + 3/2*g**y + 9/2*g = 0. Calculate g.
-4, 1
Let f(p) be the second derivative of p**7/8820 + 3*p**6/280 + 13*p**5/210 - 41*p**4/6 - 32*p + 3. Let k(y) be the third derivative of f(y). Factor k(r).
2*(r + 1)*(r + 26)/7
Let z = 1 + 7. Suppose -4 = -6*o + z. Factor 12/7*i - 4/7 - 8/7*i**o.
-4*(i - 1)*(2*i - 1)/7
Suppose -7*h + 172 - 46 = 0. Determine g so that 11*g**2 + 6*g**2 - h*g - 10*g**2 - 9*g**2 = 0.
-9, 0
Let u(h) be the first derivative of -8 - 1/32*h**4 + 4*h - 75/16*h**2 + 5/8*h**3. Let t(q) be the first derivative of u(q). Factor t(d).
-3*(d - 5)**2/8
Let i(v) = 15*v**3 + 601*v**2 + 54*v + 562. Let y be i(-40). Factor 1/2*u**y - 9/2 + 0*u.
(u - 3)*(u + 3)/2
Suppose -26240 = 583*r - 168492. Suppose r*d**3 + 12/5*d**4 + 41208/5*d**2 + 457776/5*d - 157216/5 = 0. Calculate d.
-34, 1/3
Let p(h) = 3*h**2 - 14*h - 2990. Let n be p(34). Solve 4*a - 2/9*a**3 + 14/3*a**n + 0 - 2/9*a**5 - 10/9*a**4 = 0.
-3, -1, 0, 2
Let d(a) be the third derivative of -a**7/315 + 5*a**6/12 - 91*a**5/5 + 2125*a**4/9 - 2312*a**3/3 - a**2 - 379*a. Suppose d(z) = 0. Calculate z.
1, 6, 34
Let r(h) be the second derivative of -16*h**2 - 26/15*h**6 + 47*h - 76/3*h**3 + 29*h**4 - 28/5*h**5 + 0. Find j, given that r(j) = 0.
-4, -2/13, 1
Suppose 14*s = 11*s + 132. Suppose 51*q - 28 = s*q. Suppose 0 + 2/7*f**5 + 12/7*f**3 - 16/7*f + 8/7*f**2 - 10/7*f**q = 0. What is f?
-1, 0, 2
Suppose -27*c - 20*c + 188 = 0. Let h be (-1 - (16/c + -3))/(-13). Solve 0 + h*u**2 + 4/13*u = 0.
-2, 0
Let n(o) be the first derivative of -15*o**4/4 + 153*o**3 - 132*o**2 - 180*o + 115. What is v in n(v) = 0?
-2/5, 1, 30
Let j(p) = p**3 - 7*p**2 + 5*p + 12. Let r be j(6). Suppose 5*o - 4*v = -20 + 51, 2*v + 23 = 5*o. Factor -9*n**2 + r*n**2 + 3*n**3 + o*n - n**4 - 2*n.
-n*(n - 1)**3
Let w = 32332/9 + -226252/63. Find g such that -10/7*g**3 + 2/7*g**5 + w*g - 2/7*g**4 - 8/7 + 10/7*g**2 = 0.
-2, -1, 1, 2
Suppose 0 = 4*r - o + 12, 5*o + 186 = -2*r + 290. Let 4/5*i**4 - 64/5*i**3 + 96/5*i**r + 256*i + 320 = 0. What is i?
-2, 10
Let p be ((-32)/(-14))/8*-20*(-120)/100. Solve 3/7*z**2 - p + 0*z = 0 for z.
-4, 4
Let z be (-10)/1*(-51)/((-15096)/(-37)). Determine q, given that 1 - q - z*q**2 + 3/4*q**3 = 0.
-1, 2/3, 2
Suppose 39*i**3 - 21*i**4 - 91*i**4 - i**2 - 58*i**5 + 5*i**2 - 81*i**3 - 8*i**3 = 0. What is i?
-1, 0, 2/29
Let d be ((-3635)/(-727))/((-275)/(-10)). Suppose -156/11*q - d*q**2 - 3042/11 = 0. What is q?
-39
Let k(j) = -14*j**3 + 44*j**2 - 994*j - 46208. Let y(h) = 9*h**3 - 44*h**2 + 992*h + 46208. Let a(z) = -2*k(z) - 3*y(z). Facto