*w**3 + 138*w**2 - 147*w + 12. Let o(d) = 3*c(d) - 2*v(d). Find y, given that o(y) = 0.
-48, 0, 1
Let v(f) be the first derivative of -f**6/720 - f**5/120 + 19*f**3/3 - 3*f**2/2 + 55. Let b(j) be the third derivative of v(j). What is x in b(x) = 0?
-2, 0
Let t(d) = -9*d**2 - 23*d + 29. Let q = 16 + -14. Let g(f) = -1 - 278*f**2 + 3*f + 279*f**2 - q*f. Let h(o) = -22*g(o) - 2*t(o). Factor h(i).
-4*(i - 3)**2
Let k(r) be the first derivative of -3*r**4/4 + 41*r**3 + 3*r**2/2 - 123*r + 258. Factor k(g).
-3*(g - 41)*(g - 1)*(g + 1)
Let l be (414/(-1863) - (-292)/(-630))/(4/(-28)). Factor 3*c**2 - 3/5*c**3 - 6/5*c - l.
-3*(c - 4)*(c - 2)*(c + 1)/5
Let u(r) be the first derivative of -184*r**2 + 8464*r + 111 + 4/3*r**3. Factor u(n).
4*(n - 46)**2
Suppose 18 = 5*a - 3*c, -a - 2*a + 11 = -2*c. Solve -4*k**4 - k + 15*k**2 - k**5 + 18*k**2 - 4*k**a - 2*k**3 - 37*k**2 = 0 for k.
-1, 0
Suppose 0 = -135587*f + 135647*f. Factor 2*c**2 + 7/4*c + 1/4*c**3 + f.
c*(c + 1)*(c + 7)/4
Let x(s) be the first derivative of s**4/22 + 40*s**3/33 + 117*s**2/11 + 324*s/11 - 105. Solve x(n) = 0 for n.
-9, -2
Let y be ((-75894)/(-1764))/(-139)*-12. Let 24/7 - y*l + 2/7*l**2 = 0. Calculate l.
1, 12
Let j(u) = -7*u - 95. Let p be j(-14). Let g(y) be the third derivative of 0*y - 1/100*y**5 - 1/40*y**4 + 0 + 8*y**2 + 0*y**p. Factor g(n).
-3*n*(n + 1)/5
Let t(m) = m**2 - 21*m - 15. Let a be t(23). Let l(q) be the second derivative of 0 + 2*q**2 + q**3 + 3/16*q**4 + 1/80*q**5 - a*q. Solve l(d) = 0 for d.
-4, -1
Suppose -5*y = d - 52, 5056*y = 2*d + 5061*y - 54. Determine m, given that -9/4*m**3 + 75/2*m**d + 96 - 168*m = 0.
2/3, 8
Let d(n) = 36*n**3 + 553*n**2 - 2877*n + 3540. Let s(z) = 17*z**3 + 276*z**2 - 1439*z + 1770. Let u(b) = 6*d(b) - 13*s(b). Solve u(a) = 0.
-59, 2, 3
Let y be (-16)/(-8) + (-86)/14 - -4. Let o = 19/63 - y. Factor o*m + 0 - 4/9*m**3 + 2/9*m**4 - 2/9*m**2.
2*m*(m - 2)*(m - 1)*(m + 1)/9
Let j be 60/(-245)*(1 + 48/15). Let s = -22/35 - j. Determine l, given that l**3 + 0 + s*l**4 + 4/5*l**2 + 1/5*l = 0.
-1, -1/2, 0
Let q(v) = v**3 + 43*v**2 + 68*v + 35. Let t(n) = -108 + 4 + 157*n**3 - 128*n**2 - 319*n**3 + 158*n**3 - 204*n. Let i(o) = -8*q(o) - 3*t(o). Factor i(g).
4*(g + 1)**2*(g + 8)
Let t be ((-32)/39 - (-44)/66) + 792/585. Let 1/5*j**4 + j**2 + t*j**3 + 0*j + 0 = 0. Calculate j.
-5, -1, 0
Suppose 1 = 5*i - 14. Suppose -f + 74 = i*f + 2*x, -x - 58 = -3*f. Factor -9 - f*d - 5*d**2 + 16 - 17 + 4*d.
-5*(d + 1)*(d + 2)
Solve -16/13*n - 20/13*n**3 + 34/13*n**2 + 2/13*n**4 + 0 = 0 for n.
0, 1, 8
Solve 63/2*x - 3/4*x**4 - 9*x**3 + 93/4*x**2 + 0 = 0 for x.
-14, -1, 0, 3
Let n(q) = 7*q**3 + 40*q**2 + 373*q - 3. Let x(f) = 68*f**3 + 400*f**2 + 3739*f - 29. Let v(g) = 58*n(g) - 6*x(g). Factor v(w).
-2*w*(w + 20)**2
Suppose 3*r + 2 - 12 = -4*l, 0 = 3*r - l - 35. Suppose -5*p + u + r = -42, -24 = -3*p - 3*u. Factor 15*v**2 + 13*v**4 - p*v**4 - 2*v**4 + 10*v - 6*v**4.
-5*v*(v - 2)*(v + 1)**2
Suppose -7*w = 7 - 28. Suppose 0 = p - 4*c + 28 - 39, 3*p - 3 = -w*c. Determine b so that -63/2*b + 27/2 + 15*b**2 - 3/2*b**5 - 9/2*b**4 + 9*b**p = 0.
-3, 1
Suppose -v - 12 = 3. Let p be (56/10)/(v/(-75)). Factor -9*f**4 - 4*f**3 - f**2 - 10 - p*f - 23*f**2 + 11*f**4.
2*(f - 5)*(f + 1)**3
Let f(b) be the second derivative of b**5/110 + 62*b**4/11 - 249*b**3/11 + 34*b**2 - 42*b - 9. Suppose f(w) = 0. What is w?
-374, 1
Let b(d) be the first derivative of -15*d**6 - 903*d**5/10 + 45*d**4/8 + 48*d**3 - 15*d**2 - 85. Determine k so that b(k) = 0.
-5, -2/3, 0, 1/4, 2/5
Let -20/3 + 8*o + 1/3*o**3 - 3*o**2 = 0. Calculate o.
2, 5
Let d = -437 + 440. Factor 249*n**2 + 243*n**2 - 490*n**2 + 2*n**d.
2*n**2*(n + 1)
Let o(b) = -b**3 + 4*b**2 - 3*b + 6. Let d be o(0). Let -10*f**3 - 2*f**3 - d*f**2 + 6*f**3 + 6*f**3 + f**4 - f**3 = 0. What is f?
-2, 0, 3
Suppose -69 = -7*l - 4*y, -135*l + 130*l - 4*y + 63 = 0. Factor 1/4*h**l + 3/4 + 5/4*h**2 + 7/4*h.
(h + 1)**2*(h + 3)/4
Let o(z) be the first derivative of -4*z**5/5 - 500*z**4 - 255928*z**3/3 - 741000*z**2 - 2196324*z - 6874. Find a such that o(a) = 0.
-247, -3
Suppose 4*f = 4*p + 25 - 561, 410 = 3*p + 5*f. Let d = p - 133. Solve 1/2*h**3 + 5/2*h**2 + 4*h + d = 0 for h.
-2, -1
Let -120*n**2 + 381*n - 764*n - 9*n**3 - 110 + 142*n = 0. Calculate n.
-11, -5/3, -2/3
Let b(i) be the first derivative of -23 + 2/5*i**5 + 0*i - 2/3*i**3 + 1/4*i**4 + 0*i**2 - 1/6*i**6. Factor b(n).
-n**2*(n - 2)*(n - 1)*(n + 1)
Factor -180/7 - 184/7*h - 4/7*h**2.
-4*(h + 1)*(h + 45)/7
Let h = 5195 + -5195. Let s(x) be the third derivative of -4/23*x**3 - 3*x**2 + 0*x + 1/1380*x**6 + 0*x**5 + h - 13/276*x**4. Factor s(z).
2*(z - 4)*(z + 1)*(z + 3)/23
Factor -812/3 - 38/3*k**2 - 7718/3*k.
-2*(k + 203)*(19*k + 2)/3
Let g(s) be the first derivative of s**7/42 - s**6/10 + s**5/10 - 195*s - 28. Let v(w) be the first derivative of g(w). Factor v(i).
i**3*(i - 2)*(i - 1)
Let f be (-2 - 0 - 2) + (22 - 16). Find p, given that -393*p**3 - 495*p**4 - 504*p + 27*p**5 + 212*p**f + 48 + 607*p**2 - 102*p**5 + 600*p**2 = 0.
-4, 1/5, 1
Let y(s) be the first derivative of s**4/6 + 4*s**3/9 - 7*s**2 + 12*s + 3026. Solve y(o) = 0.
-6, 1, 3
Let i(a) be the third derivative of a**7/42 - 23*a**6/8 + 335*a**5/4 + 32005*a**4/24 + 6845*a**3 + 22*a**2 - 2*a - 54. Solve i(k) = 0.
-3, -2, 37
Let u(k) be the third derivative of -5*k**2 + 0*k**4 + 0*k**3 + 1/120*k**5 + 0*k + 1/480*k**6 + 14. Factor u(g).
g**2*(g + 2)/4
Suppose 2*a - 152 - 200 = 0. Let w = a + -96. Factor 14*z + 5*z - w - 5*z**2 + 21*z.
-5*(z - 4)**2
Let v = 174 + -172. Factor -3*l - 16 - 9*l**2 - 5*l + 8*l**v.
-(l + 4)**2
Suppose -755/2*c - 1/4*c**2 - 570025/4 = 0. Calculate c.
-755
Factor -37/5*q**3 + 0 + 1/5*q**4 + 72*q + 322/5*q**2.
q*(q - 20)*(q - 18)*(q + 1)/5
Let s be (-27646)/2530 - (0 - 11). Let y(u) be the first derivative of 12 - 2/11*u - 8/11*u**3 - 13/22*u**2 - s*u**5 - 17/44*u**4. Find f, given that y(f) = 0.
-2, -1, -1/4
Find q, given that 3/7*q**5 + 24/7*q**4 + 15*q + 126 - 906/7*q**2 - 108/7*q**3 = 0.
-7, -1, 1, 6
Let o(k) be the second derivative of -4/11*k**2 - 1/66*k**4 + 4/33*k**3 + 0 - 103*k. Find u, given that o(u) = 0.
2
Let p(y) be the first derivative of -3*y**5/40 - 33*y**4/32 + 17*y**3/8 + 189*y**2/16 + 27*y/2 + 5902. Determine n, given that p(n) = 0.
-12, -1, 3
What is t in -31*t**3 - 2*t**5 + 72 - 86*t**2 + 76*t**3 - 5*t**3 + 14*t**4 - 38*t**3 = 0?
-2, -1, 1, 3, 6
Let q(i) be the first derivative of -3*i**5/20 - 243*i**4/4 - 8748*i**3 - 472392*i**2 + 2576. Factor q(s).
-3*s*(s + 108)**3/4
Let b = -116465328 + 439889546380/3777. Let u = b - 2/1259. Determine v so that 4/3*v**3 + 0 - 4/3*v - 2/3*v**4 + u*v**2 = 0.
-1, 0, 1, 2
Let i(b) be the first derivative of 275*b**6/24 - 1539*b**5/4 + 3631*b**4/4 - 2324*b**3/3 + 300*b**2 - 52*b + 347. Find w such that i(w) = 0.
2/11, 2/5, 1, 26
Let x(a) be the third derivative of 1/70*a**7 + 14 + 1/60*a**6 - 1/6*a**3 - a**2 + 1/336*a**8 - 1/30*a**5 + 0*a - 1/8*a**4. Factor x(m).
(m - 1)*(m + 1)**4
Let w(z) be the first derivative of 2*z**6/21 + 156*z**5/35 + 414*z**4/7 - 360*z**3/7 - 4050*z**2 + 121500*z/7 - 575. Factor w(p).
4*(p - 3)**2*(p + 15)**3/7
Factor 9/2*z**2 + 27*z - 3/2*z**3 - 60.
-3*(z - 5)*(z - 2)*(z + 4)/2
Factor 5/2*l**3 - 748 + 1926*l - 141*l**2.
(l - 34)*(l - 22)*(5*l - 2)/2
Let d(l) be the second derivative of -124*l + 0 + 1/8*l**4 + 0*l**2 - 3/40*l**5 + 1/2*l**3. Factor d(y).
-3*y*(y - 2)*(y + 1)/2
Suppose -218*o**2 + 143648 + 448*o**3 - 13668*o - 12*o**2 - 274*o**2 - 452*o**3 = 0. What is o?
-67, 8
Let t = 8/2791 + 22304/8373. Let b = -1301/3 + 439. Suppose b + 28/3*d + t*d**2 - 4/3*d**3 = 0. Calculate d.
-1, 4
Let i(u) be the first derivative of -2/5*u**2 - 1/15*u**3 - 3/5*u + 132. Factor i(l).
-(l + 1)*(l + 3)/5
Let a(z) be the third derivative of 4*z**2 + 0 - 1/84*z**8 + 7/12*z**5 + 13/120*z**6 - 3/8*z**4 - 1/6*z**7 - 24*z + 0*z**3. Determine j so that a(j) = 0.
-9, -1, 0, 1/4, 1
Let x(d) be the second derivative of d**4/6 + 46*d**3/3 + 168*d**2 + 10618*d. Let x(b) = 0. Calculate b.
-42, -4
Let -128 + 299/3*m**3 + 7/3*m**4 - 1738/3*m**2 + 1816/3*m = 0. What is m?
-48, 2/7, 1, 4
Let c(s) = s**3 + s**2 + 3. Let w(h) = 5*h**3 - 25*h**2 - 40*h + 821. Let k(n) = 7*c(n) - w(n). Factor k(q).
2*(q - 4)*(q + 10)**2
Let f(r) be the third derivative o