/20 - 107*h**4/2 - 60*h**3 - 943*h. Suppose o(x) = 0. Calculate x.
-1, -3/4, 0, 2, 20
Suppose 948 = 9*n - 2382. Solve 370*q**3 + 6*q - 10*q**2 - q**4 + q**2 - n*q**3 + 4*q**4 = 0.
-2, 0, 1
Let l be (-18)/(-140)*7*340/(-48)*-2. What is f in l*f**2 - 51/4 + 3/4*f**3 - 3/4*f = 0?
-17, -1, 1
Suppose -223*o + 121*o = -510. Let 36/5*f**4 + 6*f**3 + 0*f + 6/5*f**o + 0 + 0*f**2 = 0. Calculate f.
-5, -1, 0
Solve 1059/8*g**2 + 6*g**4 + 267*g**3 + 33/2*g + 0 = 0.
-44, -1/4, 0
Let m(f) = -7*f**3 + 225*f**2 - 659*f + 447. Let k(w) = 9*w**3 - 226*w**2 + 659*w - 450. Let i(v) = -3*k(v) - 4*m(v). Factor i(b).
(b - 219)*(b - 2)*(b - 1)
Let p(w) be the third derivative of -w**7/560 + w**6/20 - w**5/4 + 131*w**3/6 - 163*w**2. Let v(j) be the first derivative of p(j). Factor v(a).
-3*a*(a - 10)*(a - 2)/2
Suppose -90 = -16*h - 26*h - 6. Let x(u) be the third derivative of 0*u + 1/180*u**6 + 11*u**h + 0 + u**3 + 7/90*u**5 + 5/12*u**4. Factor x(a).
2*(a + 1)*(a + 3)**2/3
Let o = -67694 + 67696. Factor -2/9*a**3 + 8/3*a**o + 4 - 58/9*a.
-2*(a - 9)*(a - 2)*(a - 1)/9
Let a = 22 - 16. Factor -16*d + d**3 - 4*d**2 + 17*d + a*d**2.
d*(d + 1)**2
Let a = 34 + -25. Let u(q) = q**3 - 10*q**2 + 10*q + 12. Let p be u(a). Factor 6*w**2 + 5*w**3 - p*w**2 + 8 + 12.
5*(w - 2)**2*(w + 1)
Let v(y) be the third derivative of -y**8/672 - y**7/315 + y**6/240 + y**5/90 + 1159*y**2. Determine c, given that v(c) = 0.
-4/3, -1, 0, 1
Let d(v) be the second derivative of -v**10/10080 + v**9/2520 - v**4/3 - 2*v**2 - v + 43. Let s(b) be the third derivative of d(b). Suppose s(t) = 0. What is t?
0, 2
Let y = 8 - 4. Let m be (-2268)/(-648) - 2/4. Factor 3*v**m - 14*v**3 + 16 + v**3 + 16*v - 6*v**3 - 4*v**y - 12*v**2.
-4*(v - 1)*(v + 1)*(v + 2)**2
Let d be 20/(-90)*2016/(-896). Suppose d*o**2 + 41/2*o + 20 = 0. What is o?
-40, -1
Let f(h) be the first derivative of -2*h**3/15 - 8*h**2/5 + 256*h/5 - 104. Solve f(r) = 0 for r.
-16, 8
Let j = -550/47 - -2797/235. Let s(w) be the first derivative of 5/28*w**4 - 38 + 0*w**2 + j*w**5 + 0*w - 2/21*w**3. Let s(d) = 0. What is d?
-1, 0, 2/7
Let k(d) be the second derivative of 23 - 14*d**3 + 1/3*d**4 + 3*d + 0*d**2. What is j in k(j) = 0?
0, 21
Let m(n) = -8*n**4 + 136*n**3 + 24*n**2 - 6. Let u(z) = -3*z**4 - 2*z**3 + z**2 + 1. Let d(x) = 2*m(x) + 12*u(x). Factor d(v).
-4*v**2*(v - 5)*(13*v + 3)
Let d(w) be the first derivative of -4*w**3 - 7/3*w**4 - 19 + 0*w**2 - 14*w. Let n(y) be the first derivative of d(y). Factor n(m).
-4*m*(7*m + 6)
Let n be (18/24)/(4*(-1)/(-32)). Factor -f**3 + 51*f + n*f**3 + 20*f**2 - 36*f.
5*f*(f + 1)*(f + 3)
Let o = 367 - 176. Factor -3*q**4 - o*q + q**4 + 4*q**3 + 14*q**2 + 199*q.
-2*q*(q - 4)*(q + 1)**2
Let j(u) be the third derivative of -u**5/80 + 5*u**4/32 - 3*u**3/4 - 89*u**2 + 2. Let j(v) = 0. What is v?
2, 3
Suppose 2/3*f**4 + 508/3*f**3 + 31226/3*f**2 - 43688*f + 44376 = 0. What is f?
-129, 2
Let f(x) be the first derivative of -x**8/1008 - x**7/210 - x**2 + 38*x - 91. Let m(s) be the second derivative of f(s). Factor m(i).
-i**4*(i + 3)/3
Let o(m) = -3*m**2 + 21. Let y be o(0). Suppose -c = -y - 36. Factor 20 + 49*d**2 - c*d**2 - 125*d**3 + 33*d**2 + 80*d.
-5*(d - 1)*(5*d + 2)**2
Let g(m) = -27*m**3 + 69*m**2 + 60*m - 114. Let t(v) = 77*v**3 - 205*v**2 - 181*v + 343. Let p(d) = 17*g(d) + 6*t(d). Factor p(i).
3*(i - 20)*(i - 1)*(i + 2)
Let l = -247 - -249. Factor -184*k**3 + 322*k**2 + 108 + 38*k**l - 25*k**4 - 4*k**5 + 69*k**4 - 324*k.
-4*(k - 3)**3*(k - 1)**2
Let i(s) be the third derivative of 0*s - 3/5*s**3 - 1/60*s**4 + 160*s**2 + 1/300*s**6 + 3/50*s**5 + 0. What is c in i(c) = 0?
-9, -1, 1
Let i(f) = 2*f**3 + 174*f**2 + 6*f - 138. Let t(w) = -3*w**3 - 182*w**2 - 7*w + 137. Let a(z) = -5*i(z) - 4*t(z). Factor a(o).
2*(o - 71)*(o - 1)*(o + 1)
Suppose -253*t + 244*t + 2295 = 0. What is r in t*r**2 - r**3 - 504*r**2 - 7*r + 257*r**2 = 0?
0, 1, 7
Let w(m) = m**3 + m**2 - m + 2. Let y be w(0). Let k(p) = 8*p - 7*p + p**4 - p**3 - p**y + 0*p. Let u(c) = c**3 - c. Let s(r) = k(r) + 2*u(r). Factor s(b).
b*(b - 1)*(b + 1)**2
Find f such that -50*f - 241 - 537 + f**2 + f**2 + 1086 = 0.
11, 14
Suppose 0 = 3*z + 3*t, -11*z - t = -23 - 7. Let h be z/(-6 + (-115)/(-20) + 1). Factor -h*d - 1/5 - 20*d**2.
-(10*d + 1)**2/5
Let n(j) be the first derivative of 9*j**4/2 - 1642*j**3/3 + 182*j**2 - 529. What is b in n(b) = 0?
0, 2/9, 91
Let c(d) be the third derivative of -d**6/540 + d**5/15 - 95*d**4/108 + 50*d**3/9 + 74*d**2 + 3*d + 7. Solve c(z) = 0.
3, 5, 10
Let i(g) be the second derivative of -g**7/483 + 38*g**6/345 + 31*g**5/23 + 116*g**4/69 - 103*g**3/23 - 270*g**2/23 - 9*g - 251. Suppose i(q) = 0. What is q?
-6, -1, 1, 45
Suppose s - 48 = 5*r, 19*r + 484 = 313. What is n in 16/13*n + 2/13*n**s + 12/13*n**2 + 0 = 0?
-4, -2, 0
Let o(p) be the third derivative of -5*p**6/2 - 7*p**5/3 + 4*p**4/3 + 8*p**3/3 - 3*p**2 - 231. Let o(g) = 0. Calculate g.
-2/5, 1/3
Let x(v) be the second derivative of 0*v**2 - 3*v - 15*v**3 - 235/12*v**4 + 7/6*v**6 - 1 + 29/2*v**5. What is z in x(z) = 0?
-9, -2/7, 0, 1
Let p = 50692 + -101375/2. Factor 0 - 3/2*q**3 - p*q - 6*q**2.
-3*q*(q + 1)*(q + 3)/2
Let r = -10 + 13. Suppose -2*w - m - 1 = 0, -m - 4*m = -2*w + 29. Solve 4*q - 4*q + r*q - q**w = 0 for q.
0, 3
Let r = -456779/6 - -152265/2. Factor 2/3*l**3 - 4/3 - r*l + 1/3*l**2.
(l - 2)*(l + 2)*(2*l + 1)/3
Factor 198*v**4 - 778*v**5 - 639*v + 347*v**3 + 775*v**5 - 849*v**2 - 50*v**3 - 795*v - 576 + 87*v**4.
-3*(v - 96)*(v - 2)*(v + 1)**3
Let b(r) = -10*r**3 - 40*r**2 - 10*r - 5. Let u = 283 - 288. Let c(q) = 2*q**3 + q**2 - 1. Let x(d) = u*c(d) + b(d). Factor x(j).
-5*j*(j + 2)*(4*j + 1)
Let f be 11 + (-1)/(5 - 4) + 2. Let c be (3 + f/(-9))*27/20. Factor c*y + 3/2*y**2 - 3/4*y**5 - 3/2*y**3 - 9/4*y**4 + 3/4.
-3*(y - 1)*(y + 1)**4/4
Let s(v) = v**3 + 12*v**2 - 18*v + 9. Let j be s(-13). Factor -587*n + 4727*n**2 + j - 101*n - 319*n**2 - 7220*n**3 - 42.
-4*(5*n - 2)*(19*n - 2)**2
Let d be (-1 - -2)/(10/(-20) - -1). Let z(r) be the third derivative of 1/60*r**5 - 10*r**d + 2/3*r**3 - 1/6*r**4 + 0 + 0*r. Determine f, given that z(f) = 0.
2
Suppose -q - 3 + 7 = 0. Let n(b) be the first derivative of -2*b**2 - 3*b**4 - b**q + 2*b**4 + 3*b**4 + 4. Factor n(s).
4*s*(s - 1)*(s + 1)
Let r(d) be the first derivative of -d**6/24 - d**5/4 + 5*d**4/24 + 5*d**3/2 + 24*d**2 - 34. Let c(f) be the second derivative of r(f). Factor c(z).
-5*(z - 1)*(z + 1)*(z + 3)
Factor 60 + 462774*g**2 - 66*g**4 + 4*g**5 + 120*g**3 - g**5 - 123*g - 462768*g**2.
3*(g - 20)*(g - 1)**3*(g + 1)
Suppose -2/3*v**2 - 722454 - 1388*v = 0. What is v?
-1041
Let u be 234/330 + ((-156)/(-66))/26. Factor 0 - 1/5*y**5 + 0*y**3 - u*y**2 + 3/5*y**4 + 0*y.
-y**2*(y - 2)**2*(y + 1)/5
Factor 2805*p**2 - 2802*p**2 - 51*p + 21*p + 63.
3*(p - 7)*(p - 3)
Let k = 161 + -159. Find m such that -45*m - 16*m + 5*m**k + 8836 - m**2 - 70*m - 245*m = 0.
47
What is c in -972*c + 39/2*c**4 + 702*c**2 + 0 - 723/4*c**3 - 3/4*c**5 = 0?
0, 4, 9
Factor -540 - 112*o**2 + 221*o**2 - 107*o**2 - 78*o.
2*(o - 45)*(o + 6)
Let j(k) be the third derivative of -k**8/224 - 11*k**7/210 - 7*k**6/240 + 428*k**2. Factor j(x).
-x**3*(x + 7)*(3*x + 1)/2
Let a = -6 + 9. Suppose 5 + 39 = 11*t. Factor -t*c**a + 5*c**3 - 4*c**3 + 0*c**3.
-3*c**3
Let a(n) be the third derivative of n**4/12 - 2*n**3 + 28*n**2. Let k be a(14). Factor -c**2 - k - 21*c + 34 + 4*c**2.
3*(c - 6)*(c - 1)
Let s(v) be the second derivative of -v**6/30 + 11*v**5/10 - 13*v**4/4 - 11*v**3/3 + 20*v**2 + 531*v + 2. Suppose s(p) = 0. Calculate p.
-1, 1, 2, 20
Let h = -30 + 57. Suppose 345 - 3*i**3 + 41*i + 4*i**2 - i**3 + h*i - 285 = 0. Calculate i.
-3, -1, 5
Let i be ((-80)/8)/(2 + 145/(-10)). Suppose 76/5*t - i*t**3 + 56/5 + 16/5*t**2 = 0. Calculate t.
-2, -1, 7
Let o(y) be the second derivative of 0 - 3/40*y**5 + 237*y - 3/2*y**3 + 0*y**2 - 5/8*y**4. Determine m, given that o(m) = 0.
-3, -2, 0
Suppose -3*w = -15 - 42. Let p(c) = -c**2 + 73*c + 926. Let f be p(-11). Factor 18*d + 10*d + 15 + w - 4*d**f - 2.
-4*(d - 8)*(d + 1)
Let m(v) be the third derivative of 17/14*v**3 + 2/7*v**4 + 9*v**2 - 1 + 0*v - 1/140*v**5. Factor m(p).
-3*(p - 17)*(p + 1)/7
Determine f so that -720 + 348/5*f - 4/5*f**2 = 0.
12, 75
Let g(q) = q**3 - q**2 + q + 2. Let o(d) = -8*d**3 + 19*d**2