4 - b*l**3 + 1/5*l**5 + 1/5*l**2 = 0.
-1, 0, 1, 2
Let t(b) = -5*b**2 + 8*b + 15. Suppose -9*q + 2*q + 28 = 0. Suppose h + q - 6 = 0. Let f(m) = -m. Let o(j) = h*f(j) - t(j). Factor o(w).
5*(w - 3)*(w + 1)
Let n(q) be the second derivative of -q**5/20 + 7*q**4/16 - 7*q**3/8 + q**2/2 - 87*q + 24. What is g in n(g) = 0?
1/4, 1, 4
Let j(f) = -20*f**2 + 12*f + 204. Let z(p) = -8*p**2 + 5*p + 82. Let d be (19 - 21)/(2/(-12)*1). Let w(v) = d*z(v) - 5*j(v). Let w(g) = 0. Calculate g.
-3, 3
Factor -108/5*d + 0 + 52/5*d**2 + 1/5*d**3.
d*(d - 2)*(d + 54)/5
Suppose p = 8*p. Suppose 7*h - 20 = -3*h. Factor -14*q**5 + p*q**4 + 15*q**5 - q + 2*q**2 - h*q**4.
q*(q - 1)**3*(q + 1)
Let y(i) be the second derivative of i**4/12 + 48*i**3 - 584*i**2 - 6917*i. Suppose y(q) = 0. What is q?
-292, 4
Determine u so that 195 - 3069*u + 6182*u - u**2 - 3051*u = 0.
-3, 65
Let h(f) be the first derivative of f**4/24 - 11*f**3/6 + 1954. Factor h(r).
r**2*(r - 33)/6
Let x = -325134 - -325137. Determine r so that -3/5*r**2 + 2/5*r - 3/5*r**4 - 8/5*r**x + 0 = 0.
-2, -1, 0, 1/3
Let p = 0 + 3. Suppose 404 = -39*v - 113*v + 1164. Let -2*t**2 - 4/3*t + 2/3*t**p + 2*t**4 + 0 + 2/3*t**v = 0. What is t?
-2, -1, 0, 1
Let p = -45945/16 + 598053/208. Factor 384/13*m - p*m**2 - 1024/13 + 2/13*m**3.
2*(m - 8)**3/13
Let u = 253209 + -253207. Factor 2/9*b**4 - 46/9*b**3 + 0 - 2/9*b**u + 46/9*b.
2*b*(b - 23)*(b - 1)*(b + 1)/9
Solve -3*p**5 - 7*p**4 + 33*p**4 + 5*p**4 - 2087*p**2 + 4356 - 12408*p - 233*p**3 + 544*p**3 = 0.
-6, 1/3, 11
Let i(k) = 10*k**3 - 153*k**2 + 957*k - 320. Let x(s) = s**3 - 19*s**2 + 120*s - 40. Let c(l) = -6*i(l) + 51*x(l). Suppose c(o) = 0. Calculate o.
-10, 1/3, 4
Let m(i) be the third derivative of -i**6/240 + 3*i**5/20 + 3*i**4 + 4*i**2 - 396. Let m(l) = 0. Calculate l.
-6, 0, 24
Let r be -15 - (-40 - (-5025055)/(-245)). Factor -4/7*u**3 - r - 13068/7*u - 396/7*u**2.
-4*(u + 33)**3/7
Let a = -54741 - -54741. Factor -4/3*y + 8/3*y**4 + 4/3*y**5 + 0*y**3 - 8/3*y**2 + a.
4*y*(y - 1)*(y + 1)**3/3
Let y be (-6 - -1 - 1) + 227 + -2. Suppose -229*z + y*z = 0. Factor -4/15*v + z - 2/15*v**2.
-2*v*(v + 2)/15
Let l = -71907 + 359587/5. Factor -l*k - 4/5*k**3 + 32/5*k**2 + 24/5.
-4*(k - 6)*(k - 1)**2/5
Suppose 38*x - 74 = x. Suppose -4*g - 3*o = -6*o - 20, 4*g - 2*o = 16. Factor -5*i**3 - 14*i**2 - 10*i - 6*i**x - 14*i**2 + 19*i**g.
-5*i*(i + 1)*(i + 2)
Let u(a) be the second derivative of 1/6*a**4 - 1/30*a**5 - 3*a - 2/9*a**3 + 0*a**2 + 1. Factor u(h).
-2*h*(h - 2)*(h - 1)/3
Factor -19*s**2 - 48*s**3 - 90*s**2 + 21*s**3 - 18*s**3 - 23*s**2 - 3*s**4.
-3*s**2*(s + 4)*(s + 11)
Let n(o) = -9*o**2 + 301*o - 130. Let y be n(33). Let t be 18/12 + (-17)/(-6) - -4. Suppose -10*j**y - t*j**3 + 40/3 - 5/3*j**4 + 20/3*j = 0. What is j?
-2, 1
Suppose 2*i = 2520 - 2160. Factor i - 2*g**2 - 234 + 38*g - 14*g.
-2*(g - 9)*(g - 3)
Let n(w) be the second derivative of w**4/96 + 125*w**3/48 + 11265*w. Factor n(p).
p*(p + 125)/8
Suppose 0 = 17*f + 141 - 175. Let z(y) be the second derivative of 0 + 1/6*y**6 - 3430/3*y**3 - 30*y + 12005/2*y**f - 7*y**5 + 245/2*y**4. Solve z(g) = 0.
7
Let z(w) be the first derivative of 5*w**4/4 + 75*w**3 + 780*w**2 - 23660*w - 3217. Factor z(t).
5*(t - 7)*(t + 26)**2
Let l(m) be the first derivative of 1/2*m**3 - 33/4*m**2 - 44 + 15*m. Suppose l(u) = 0. Calculate u.
1, 10
Suppose 4*y = 2*z - 14, -292*y = -291*y + 2*z - 14. Let i = 224/3 + -74. Determine w so that 2/9*w**4 - i*w**3 + y + 0*w - 8/9*w**2 = 0.
-1, 0, 4
Let -3*l**3 - 294 - 37*l**2 + 202*l**2 - 141*l**2 + 273*l = 0. Calculate l.
-7, 1, 14
Let i(w) be the first derivative of -3*w - 2/3*w**4 - 22/9*w**3 - 4*w**2 - 55 - 1/15*w**5. Let i(n) = 0. What is n?
-3, -1
Suppose -25*k + 18*k = -14. Determine v, given that -71*v + 45*v - 40 + 120*v**k + 134*v - 28*v**3 = 0.
-1, 2/7, 5
Let q = -71 - -85. Let c be (4 + q)/(-3)*(-2)/4. Determine h so that 50*h**3 - 16*h - 222*h**2 + 318*h**2 + 2*h**c = 0.
-2, 0, 2/13
Solve 155/4*k + 5/4*k**2 - 40 = 0 for k.
-32, 1
Find s such that 170*s**5 - 71*s**2 + 189*s + 846*s**2 - 720 - 337*s**5 - 55*s**4 + 481*s - 675*s**3 + 172*s**5 = 0.
-8, -1, 1, 18
Let u(z) = -71*z - 2343. Let i be u(-33). Let d(s) be the second derivative of s**3 - 8*s + 1/8*s**4 + 0*s**2 + i. Factor d(a).
3*a*(a + 4)/2
Let r(j) be the second derivative of -1/12*j**4 - 15/2*j**2 - 5*j + 0 - 4/3*j**3. Factor r(m).
-(m + 3)*(m + 5)
Suppose -u + 691*x - 5 = 687*x, -3*u + 4*x = -1. Factor -2/5 + 1/5*i**u + 2/5*i**2 - 1/5*i.
(i - 1)*(i + 1)*(i + 2)/5
Let m = 228 + -226. Factor 4*k**2 - 2*k + 62*k - 3*k**2 + 4*k**m.
5*k*(k + 12)
Factor 475*j**4 - 84*j - 5*j**3 - 234*j**4 - 236*j**4 - 36*j - 130*j**2.
5*j*(j - 6)*(j + 1)*(j + 4)
Let h(n) = n**2 + 22*n - 47. Let l(a) = a**2 + 14*a - 31. Let y = -246 + 251. Let z(j) = y*h(j) - 7*l(j). Determine t, given that z(t) = 0.
3
Let x(y) be the second derivative of y**6/15 - 71*y**5/10 + 139*y**4/6 - 23*y**3 + 1172*y. Find d, given that x(d) = 0.
0, 1, 69
Let q be (-3510)/(-5148)*(-132)/(-40). What is l in 5/2*l - q - 1/4*l**2 = 0?
1, 9
Factor -848*w - 360 + 5*w**5 - 90*w**4 + 242*w**3 - 1390*w**2 - 477*w + 140*w - 902*w**3.
5*(w - 24)*(w + 1)**3*(w + 3)
Factor -26378*d - 4*d**3 - 96797*d**2 + 95777*d**2 - 312500 - 41122*d.
-4*(d + 5)*(d + 125)**2
Let y(v) be the first derivative of 1/2*v**4 + 17/15*v**3 + 0*v + 4/5*v**2 + 90 + 1/25*v**5. Factor y(g).
g*(g + 1)**2*(g + 8)/5
Let w(y) = 4*y**3 + 4*y**2 + 8*y + 12. Suppose 0*q = -11*q + 55. Let o(a) = -5*a**3 - 5*a**2 - 8*a - 12. Let s(g) = q*o(g) + 6*w(g). What is l in s(l) = 0?
-2, 3
Let z(l) be the second derivative of 0 - 71*l - 3*l**2 - 4/3*l**3 - 1/6*l**4. Factor z(d).
-2*(d + 1)*(d + 3)
Let j(o) = -o**2 + 6*o + 2. Let r be (-1 + 0)/(2/(-12)). Let a be j(r). Find d, given that 10*d - 20*d**3 + 4 - 15*d**a + 3 + 28*d**4 - 2 - 8*d**4 = 0.
-1/2, 1
Let y(c) = 7*c**2 - 17*c - 20. Let n(u) = 9*u - 22. Let l be n(8). Let z(p) = 27 + p + 23 - l - p**2. Let h(k) = -y(k) - 2*z(k). Factor h(s).
-5*(s - 4)*(s + 1)
Let y(r) = -12*r**2 - 141*r - 613. Let f(d) = 4*d**2 + 48*d + 204. Suppose -2*v = -v - 4*w, 3*w = 4*v + 13. Let i(g) = v*y(g) - 13*f(g). Factor i(q).
-4*(q + 5)*(q + 10)
Suppose 0 = -4*i - 2*w + 38, 5*w - 1462 = -7*i - 1379. Determine z, given that -4/3 + 14/3*z - 6*z**2 - 2/3*z**i + 10/3*z**3 = 0.
1, 2
Let z(b) = 3*b**4 - 10*b**3 + 19*b**2 - 11*b + 5. Let r = -4547 + 4548. Let h = -2 - 1. Let i(o) = o**3 + 1. Let y(l) = h*i(l) + r*z(l). Solve y(d) = 0.
1/3, 1, 2
Let y = -63829 + 63831. Factor -18/7*g**3 + 0 + 4/7*g - 2*g**y.
-2*g*(g + 1)*(9*g - 2)/7
Let t(k) be the second derivative of k**8/560 + 3*k**7/280 - k**5/10 + 8*k**3 - k**2 + 16*k. Let h(q) be the second derivative of t(q). Factor h(r).
3*r*(r - 1)*(r + 2)**2
Let o(k) be the first derivative of 3*k**4/8 - 92*k**3 + 1095*k**2/4 - 273*k + 406. Let o(s) = 0. Calculate s.
1, 182
Let n be (-1 - 1)*-8 - 4. Suppose n = -2*j + 6*j. Determine b so that 0*b**2 + b**2 - 5*b**3 + 3*b**j + b**4 + 0*b**3 = 0.
0, 1
Suppose -n - 184 = 5*a + 280, -5*n - 274 = 3*a. Let t = 97 + a. Solve -42 + 42 - t*i**2 - 2*i**4 + 6*i**4 + 8*i - 8*i**3 = 0.
-1, 0, 1, 2
Suppose -57*q = -32*q - 1450. Let b = -55 + q. Factor -1/4*r**5 - 3/2*r**b - r**4 - r**2 + 0 - 1/4*r.
-r*(r + 1)**4/4
Suppose 1 = h - 1. Factor 16*j**2 + j**3 - 2*j**h + 72 + 75*j - 18*j.
(j + 3)**2*(j + 8)
Let q(a) be the second derivative of -11/2*a**2 - 35/12*a**3 - 1/8*a**4 - 34*a + 0. Find w, given that q(w) = 0.
-11, -2/3
Let l(v) be the third derivative of v**6/320 + 39*v**5/16 - 391*v**4/64 + 76*v**2 - 20. Let l(s) = 0. What is s?
-391, 0, 1
Let d(v) be the third derivative of 0 + 0*v**3 - 1/150*v**5 - 67*v**2 + 1/300*v**6 - 1/10*v**4 + 0*v. Let d(h) = 0. Calculate h.
-2, 0, 3
Let y = -511 + 544. Factor -90*t**3 + y*t**2 + 93*t**3 - 3*t**4 - 27*t**2.
-3*t**2*(t - 2)*(t + 1)
Let f(s) = 591*s**2 + 8*s - 1. Let h be f(2). Let q = 2381 - h. Factor 5/3*k**q + 0 - 5*k.
5*k*(k - 3)/3
Let k(w) be the first derivative of 37/2*w**2 - 70*w - 1/3*w**3 - 248. Factor k(g).
-(g - 35)*(g - 2)
Let q(i) be the second derivative of i**4/42 - 134*i**3/21 + 1240*i**2/7 + 13802*i. Solve q(f) = 0 for f.
10, 124
Suppose 2*w + 2*w = -3*s + 1705, 4*w - s - 1725 = 0. Determine g, given that -96 - 35*g**4 + 225*g**3 + 30*g - 216*g**2 - w*g - 65*g