60 - 10*l**4/3 + 122*l**3/9 + 2578*l**2. Find v such that k(v) = 0.
-61, 2
Let o(n) be the second derivative of 0*n**2 - 1/98*n**7 + 1/21*n**4 + 0 + 0*n**3 - 1/30*n**6 + 0*n**5 - 90*n. Solve o(p) = 0 for p.
-2, -1, 0, 2/3
Suppose 5*k = -a - 28, -7*k + 6 = -3*a - 9*k. Solve -12/5*w**2 - a*w + 2/5 = 0.
-1, 1/6
Let k(y) = 60*y**2 - 602*y + 17. Let f(v) = -273 + 267 + 201*v - 17*v**2 - 4*v**2. Let r(b) = -17*f(b) - 6*k(b). Solve r(w) = 0.
0, 65
Let j be 38860/11658*(-12)/(-10). Determine y, given that y**3 - y - 3/2 + 2*y**2 - 1/2*y**j = 0.
-1, 1, 3
Let u = -76 - -79. Factor -48*s**4 - 99*s**5 + 336*s**2 + 47*s**u + 196*s + 41*s**3 + 103*s**5.
4*s*(s - 7)**2*(s + 1)**2
Let j(n) be the first derivative of n**6/39 - 1182*n**5/65 + 65709*n**4/13 - 8730036*n**3/13 + 505067157*n**2/13 - 2801693286*n/13 - 10773. Factor j(f).
2*(f - 147)**4*(f - 3)/13
Let r = 357677/834596 - -1/119228. Determine y, given that 0*y + 3/7 - r*y**2 = 0.
-1, 1
Find s, given that -15/7*s**2 + 12021/7*s - 4806/7 = 0.
2/5, 801
Suppose -1378*o + 1371*o + 112 = 0. Suppose 0 = y - 2*x + 4, -10 = 2*y + 11*x - o*x. Factor 0*c**2 + y*c - 1/2*c**4 + 1/4*c**3 + 1/4*c**5 + 0.
c**3*(c - 1)**2/4
Let i(v) be the first derivative of -7/6*v**4 - 55 - 16/3*v + 4*v**2 - 5/9*v**6 + 52/9*v**3 - 12/5*v**5. Solve i(s) = 0 for s.
-2, -1, 2/5, 1
Let f be (0 - -1)*(-26)/(-13). Let q(o) be the first derivative of -20 - 15/4*o**4 + 0*o**f + 4*o**3 + 0*o + 3/5*o**5. Factor q(v).
3*v**2*(v - 4)*(v - 1)
Let w = -2623/196 + 8261/588. Factor w*u**4 + 10/3*u**2 + 0*u - 4*u**3 + 0.
2*u**2*(u - 5)*(u - 1)/3
Find r, given that 176890/3 - 440*r**2 - 5/3*r**3 - 28595*r = 0.
-133, 2
Let h(v) be the second derivative of v**4/6 + 23*v**3 + 1148*v**2 - 849*v - 1. Suppose h(l) = 0. What is l?
-41, -28
Let n(g) be the second derivative of -g**5/40 + 2*g**4/9 - 3*g**3/4 + 7*g**2/6 + 863*g. Find j such that n(j) = 0.
1, 2, 7/3
Let y = -8191 - -8193. Let h(x) be the first derivative of 25 - 70/3*x**3 - 8*x - 24*x**y. Factor h(n).
-2*(5*n + 2)*(7*n + 2)
Let b(s) be the third derivative of 2*s**7/945 + s**6/30 - 34*s**5/135 + 4*s**4/9 + 34*s**2 - 8*s. Factor b(j).
4*j*(j - 2)*(j - 1)*(j + 12)/9
Let k = -281349 - -844061/3. Find g, given that -k*g**5 - 64/3*g - 104*g**3 + 0 + 304/3*g**2 + 116/3*g**4 = 0.
0, 2/7, 2, 4
Let p(w) = w + 1. Let j(n) = -n**4 + 3*n**3 - 2*n + 2. Suppose -2*g = -5*g + 15. Suppose -g*x = -3*x + 20. Let z(s) = x*p(s) + 5*j(s). Factor z(i).
-5*i*(i - 2)**2*(i + 1)
Let s be (-9 + 10)/(1/2). Factor -2*o - 4*o**2 + 7*o**2 - 9*o**2 - 1 + 5*o**s.
-(o + 1)**2
Let h(s) = 12*s**5 - 9*s**4 + 6*s**3 - 3*s**2 - 18*s + 3. Let x(w) = -w**5 + w**2 + w. Suppose 209 = 4*i + 205. Let r(p) = i*h(p) + 9*x(p). Factor r(m).
3*(m - 1)**4*(m + 1)
Let a be 8/3*(-30)/(-120). Let k(c) be the first derivative of -c**4 + 20 - a*c**3 + 0*c**2 - 2/5*c**5 + 0*c. Factor k(v).
-2*v**2*(v + 1)**2
Let w(c) be the first derivative of c**3 - c**2/2 - 24. Let l be w(-1). Factor 18 - 11*r**4 - 24*r - 4*r**2 + 29*r**4 - 16*r**l + 8*r**3.
2*(r - 1)**2*(r + 3)**2
What is v in -40*v**2 - 12 + 6*v**5 + 62*v**4 - 8*v**5 + 14*v - 6*v - 58*v**4 + 12*v**3 + 30*v = 0?
-3, 1, 2
Let t(x) be the second derivative of -1/4*x**4 + 1 + 0*x**2 - 34*x**3 + 37*x. Suppose t(i) = 0. What is i?
-68, 0
Let o be (3 - (-25 + 28)) + 2. What is s in -14/11 - 2/11*s**o - 16/11*s = 0?
-7, -1
Let m(f) = 3*f**3 + 65*f**2 - 54*f - 28. Let d be m(-22). Let n = -4055/6 + d. Factor -2/3*g + n*g**4 - 5/6*g**3 + 4/3*g**2 + 0.
g*(g - 2)**2*(g - 1)/6
Determine m, given that 1260 - 5*m**3 - 1692*m + 567*m**2 + 663*m**2 + 842*m**2 + m**3 - 1636*m**2 = 0.
1, 3, 105
Let m(i) = -i**3 - 12*i**2 - 13*i - 22. Let j be m(-11). Let n(t) = -t + 223. Let b be n(j). Factor -20*a**2 + 12*a - 217*a**4 + 444*a**4 - b*a**4 + 4*a**3.
4*a*(a - 1)**2*(a + 3)
Let z(t) be the second derivative of 0 + 0*t**2 - 1/30*t**5 - 74*t + 4/9*t**3 + 1/6*t**4. Let z(j) = 0. Calculate j.
-1, 0, 4
Let x = -8656 - -121185/14. Let h(l) be the third derivative of 3*l**2 - x*l**4 + 0 - 1/105*l**5 + 0*l**3 + 0*l. Factor h(i).
-4*i*(i + 3)/7
Solve -170/21*b**2 + 346/21*b + 8/21*b**3 - 76/21 = 0 for b.
1/4, 2, 19
Factor -4*s**4 - 192*s**3 + 541*s**3 + 85176*s + 19*s**3 + 8*s**4 + 10452*s**2.
4*s*(s + 14)*(s + 39)**2
Suppose -26 = -4*j - 6. Let q(f) be the second derivative of -16*f + 1/180*f**6 + 0 + 0*f**2 + 1/40*f**j + 1/24*f**4 + 1/36*f**3. Factor q(w).
w*(w + 1)**3/6
Let s be (-2)/(-14) - 481/(-259). Let k be -19*2/5 + -127 + 135. Solve -12/5 + 2/5*u**s + k*u = 0.
-3, 2
Let b be (-220)/(-112) - 17*(-38)/18088. Determine q so that -3/4*q**b - 51*q - 867 = 0.
-34
Suppose 0 = 2*k - 10, 206*v + 4*k - 30 = 201*v. Let q(y) be the second derivative of 0 + 0*y**v + 1/40*y**5 + 1/24*y**3 - 22*y + 1/16*y**4. Factor q(m).
m*(m + 1)*(2*m + 1)/4
Let p(n) = -16*n**3 + 394*n**2 + 398*n + 3. Let s(t) = -21*t**3 + 393*t**2 + 398*t + 4. Let c(d) = -4*p(d) + 3*s(d). Factor c(f).
f*(f - 398)*(f + 1)
Let f = -450 + 450. What is g in 2*g**3 + 0 - 17*g**4 + 98*g**5 + f + 29*g**4 + 16*g**4 = 0?
-1/7, 0
Determine w so that 0 - 1/5*w**2 + 327/5*w = 0.
0, 327
Let u = 109493/6 + -36491/2. Factor 35*v**2 + 0 + u*v.
5*v*(21*v + 2)/3
Let o = 43 + -39. Let h be 1/((-1)/(-2)) - -3. Factor 3*c**3 - 48*c**5 - 4*c**o + 3*c**3 - 2*c**3 + 49*c**h.
c**3*(c - 2)**2
Let h(f) be the third derivative of 0*f**3 - 1/90*f**5 + 0 + 10*f**2 + 1/540*f**6 + 0*f + 1/54*f**4. What is n in h(n) = 0?
0, 1, 2
Let q(w) = w**3 + 9*w**2 + 8*w - 7. Let t be q(-8). Let s be (18 + t)/(1 - 0). Find b such that -4 + 3*b**2 - 9*b - s + 3 = 0.
-1, 4
Let t(i) be the third derivative of -i**6/30 - 2262*i**5/5 - 2558322*i**4 - 7715899152*i**3 + 51*i**2 - 29. Factor t(p).
-4*(p + 2262)**3
Let n(j) be the third derivative of j**8/504 + 8*j**7/315 - 11*j**6/36 - 35*j**5/9 + 24*j**4 + 128*j**3 + j**2 + 63*j. What is u in n(u) = 0?
-8, -1, 3, 6
Let i(q) be the first derivative of -2*q**3/9 - 10*q**2/3 + 22*q/3 - 1106. Factor i(a).
-2*(a - 1)*(a + 11)/3
Let g(v) be the third derivative of -v**8/560 - 2*v**7/175 + v**6/100 + 3*v**5/25 - 9*v**4/40 - 3*v**2 + 654*v. Factor g(p).
-3*p*(p - 1)**2*(p + 3)**2/5
Let w = 9 - 7. Suppose 3*j + w*j = 225. Solve -225*s + s**3 + j*s**2 - 4*s**3 + 23 + 352 = 0.
5
Let t(w) = 244*w + 6867. Let o be t(-28). Let h(f) be the second derivative of 6/35*f**6 + 0*f**2 - 3/140*f**5 + 0 - o*f + 0*f**3 - 3/14*f**4. Factor h(b).
3*b**2*(3*b + 2)*(4*b - 3)/7
Let t(s) be the third derivative of -s**5/24 - 33*s**4/16 - 119*s**3/6 + 5240*s**2. Solve t(v) = 0 for v.
-17, -14/5
Let a(b) be the third derivative of 1/2*b**5 + 0 - 29*b**2 - 4/3*b**3 + 0*b - 7/3*b**4. Factor a(p).
2*(p - 2)*(15*p + 2)
Let b be 81/(-9) - (-87)/3. Let h be (7/(49/(-4)))/(b/(-14)). Factor h - 1/5*r - 1/5*r**2.
-(r - 1)*(r + 2)/5
Let x(u) = -u**2 - u - 10. Let c(t) = -2*t - 5. Let f(s) = -6*s - 16. Let d(g) = 10*c(g) - 3*f(g). Let r(j) = -3*d(j) + x(j). Factor r(k).
-(k - 4)*(k - 1)
Let h = 54 + -50. Suppose -h*b = -1354 + 514. Determine l, given that 72*l**3 - 21*l + 3*l**3 + 32 - 8 + 153*l + b*l**2 = 0.
-2, -2/5
Factor 273/2 + 69*p + 9/2*p**2.
3*(p + 13)*(3*p + 7)/2
Factor 824/3*x - 84872/3 - 2/3*x**2.
-2*(x - 206)**2/3
Let f be ((2*-1)/(-8))/(19/304). Determine b, given that -9*b**4 - 7*b**3 + 6*b**5 + 28*b**3 + 6*b**2 - 11*b**3 - 13*b**f = 0.
-1/3, 0, 1, 3
Let l be 1426/186 + (-2 - 7/(-3)). Find d such that -4*d - 5*d**2 + l*d**2 + 417 - 418 + 4*d**3 - 2*d**2 = 0.
-1, -1/4, 1
Let t be 8/192*0/20. Determine v so that v**3 - 2/7*v**4 - 3/7*v**2 + t*v + 0 = 0.
0, 1/2, 3
Suppose o = 6*o - 4*s + 2, 0 = -4*o - 3*s + 17. Let w = o - 0. Suppose 0*u**2 + 2*u**3 + 3*u**w - 3*u**2 - 2*u**2 = 0. What is u?
0, 1
Solve 36*y + 11 + 5 - 166 + 10 + 4*y**2 - 68 = 0 for y.
-13, 4
Let u(p) be the first derivative of p**9/10584 - p**8/1960 - p**7/735 + 2*p**3 + 7*p + 71. Let t(l) be the third derivative of u(l). Factor t(i).
2*i**3*(i - 4)*(i + 1)/7
Factor -24 - 76/3*a**2 + 146/3*a + 2/3*a**3.
2*(a - 36)*(a - 1)**2/3
Suppose 5 = -2*g - 5*j, 3*g + 7*j - 2*j = -5. Let r(i) be the first derivative of -1/44*i**4 - 3/22*i**2 + g*i + 43 + 4/33*i**3. Solve r(k) = 0 for k.
0, 1, 3
Suppose -63*l + 106 = -398. Let q(p) be the first derivative of -l*p - 1/6*p**3 + 2*p**2 + 19. Suppose q(m) = 0. What is m?
4
Factor -16 - 16