(g) be the third derivative of j(g). Factor q(h).
-2*h*(h + 4)
Let n(w) be the first derivative of -w**4/36 - 77*w**3/18 + 187*w + 140. Let y(d) be the first derivative of n(d). Determine j so that y(j) = 0.
-77, 0
Let m be 4/(-5) - (-19)/5 - 5. Let d be (m*3)/((-225)/75). Factor -3/7*z - 1/7*z**d - 2/7.
-(z + 1)*(z + 2)/7
Factor -3/2*t**3 + 507/2 - 585/2*t + 81/2*t**2.
-3*(t - 13)**2*(t - 1)/2
Let d be 14695003/39321 + 3/51. Factor -116/9*q - 1/9*q**2 - d.
-(q + 58)**2/9
Suppose 0 = -w + h + 8, 104*h = -2*w + 108*h + 26. Factor -8/3 - 1/3*b**2 + w*b.
-(b - 8)*(b - 1)/3
Suppose 3*f + 9/4*f**2 - 5/2*f**3 - 11/4 = 0. Calculate f.
-11/10, 1
Let d(o) be the second derivative of 49*o**6/180 + 469*o**5/120 + 569*o**4/36 + 15*o**3 + 6*o**2 + 1609*o. Factor d(b).
(b + 3)*(b + 6)*(7*b + 2)**2/6
Let f be 1395/495 - 10/(-44)*88/110. Find l such that -1 + 1/3*l**f - 5/3*l**2 + 7/3*l = 0.
1, 3
Suppose -554*l**3 - 170*l - 232*l**2 - 110*l + 1252*l**2 + 484*l**3 + 35*l**5 - 255*l**4 = 0. What is l?
-2, 0, 2/7, 2, 7
Suppose 70*y - 121*y + 153 = 0. Let n(d) be the first derivative of 0*d**y + 0*d**4 + 0*d**2 + 8 - 2/15*d**5 + 0*d. Factor n(z).
-2*z**4/3
Let f(w) be the first derivative of -1/15*w**3 + 2/5*w + 1/10*w**2 + 57. Factor f(o).
-(o - 2)*(o + 1)/5
Let q be ((-50)/(-260))/(330/264). Factor -2/13*j**3 + 4/13*j + 0 + q*j**2.
-2*j*(j - 2)*(j + 1)/13
Let y(z) be the first derivative of -24*z + 1/15*z**4 + 1/15*z**3 + 0*z**2 + 1/50*z**5 + 25. Let u(p) be the first derivative of y(p). Factor u(f).
2*f*(f + 1)**2/5
Let -311/6*i + 83/6*i**2 - 395/6 - 1/6*i**3 = 0. Calculate i.
-1, 5, 79
Let n(j) be the third derivative of -2*j**2 - 1/24*j**4 + 30 - 1/9*j**3 - 1/180*j**5 + 0*j. Factor n(k).
-(k + 1)*(k + 2)/3
Factor 27/2*m + 0*m**3 - 27/2*m**2 + 0 + 2*m**4.
m*(m + 3)*(2*m - 3)**2/2
Suppose 0 = 3*v + 9 + 12, -2*y + 4*v = -34. Let s(h) be the second derivative of 1/3*h**4 + 7/3*h**y + 0 - 4*h**2 - 18*h. Factor s(f).
2*(f + 4)*(2*f - 1)
Let l = -1238737/524 + 2364. Let q = 5233/3668 - l. Factor 13/7*x**2 - 8/7 + q*x - 15/7*x**3.
-(x - 1)*(3*x - 2)*(5*x + 4)/7
Let w(a) = 5*a + 10. Let g = -6 - -16. Let d be w(g). Solve -80*s**3 - 14*s**4 + 8*s**2 - 2*s**4 + 12*s**5 + d*s**3 = 0 for s.
-1, 0, 1/3, 2
Let i(b) be the first derivative of -2/3*b**3 + 254 - 1/18*b**4 - 5/3*b**2 + 50/9*b. Determine v, given that i(v) = 0.
-5, 1
Let -52/5*v**3 - 45 + 231/2*v + 8/5*v**4 - 671/10*v**2 = 0. Calculate v.
-5, 3/4, 10
Let w(g) be the second derivative of -2*g**6/135 + 5*g**5/9 + 53*g**4/27 + 2*g**3 + 136*g. Solve w(l) = 0.
-1, 0, 27
Let l(r) be the second derivative of -r**5/120 - 23*r**4/72 + r**3/36 + 23*r**2/12 - 1077*r. Factor l(t).
-(t - 1)*(t + 1)*(t + 23)/6
Factor 2450/3 - 1/6*o**3 - 840*o + 47/2*o**2.
-(o - 70)**2*(o - 1)/6
Let w be ((-2 - -6)/(-2 + 23))/((-196)/(-21) - 9). Find t such that -4/7*t**3 + w*t**4 + 16*t - 64/7 - 48/7*t**2 = 0.
-4, 1, 2
Let l = 504 - 500. What is v in 3457*v - 2904 - 107*v**2 + 1163*v - 1747*v**2 - 21*v**4 + 141*v**3 + 18*v**l = 0?
1, 2, 22
Let c(u) be the first derivative of u**7/5880 + u**6/2520 + u**3/3 + 3*u - 90. Let f(h) be the third derivative of c(h). Factor f(s).
s**2*(s + 1)/7
Let l(f) be the second derivative of 1/6*f**2 - 54*f + 2/9*f**3 + 0 + 1/15*f**5 + 1/90*f**6 + 1/6*f**4. Factor l(h).
(h + 1)**4/3
Let d be 2/(22 - 18 - ((-840)/111)/(-2)). Factor d*v**2 - 1/4*v**3 - 90*v + 81.
-(v - 18)**2*(v - 1)/4
Suppose -7*g = -63 + 7. Suppose 25*f - g = 21*f. Factor -f + 10*c + 2*c**5 - 4*c**3 - 3*c - 2*c**4 + 2*c**2 + 2*c**2 - 5*c.
2*(c - 1)**3*(c + 1)**2
Let t be (6/33)/((-818)/(-8998)). Let 2/11*q**4 + 36/11 - 78/11*q - 18/11*q**3 + 58/11*q**t = 0. What is q?
1, 2, 3
Let o be (-174)/9 + (-16)/(-12). Let h = -11 - o. Factor 64 + 20*z**3 - 244*z**3 - h*z**4 + 480*z**2 + 43*z**4 + 75*z - 459*z.
4*(z - 2)**3*(9*z - 2)
Let r(y) be the first derivative of y**7/1120 + y**6/80 + y**5/32 - 53*y**3/3 + 49. Let n(g) be the third derivative of r(g). Factor n(b).
3*b*(b + 1)*(b + 5)/4
Let d = -118 - -123. Determine l so that -28*l**5 - 25*l**d + 3*l**3 + 6*l**4 + 50*l**5 - 6*l**2 = 0.
-1, 0, 1, 2
Let g(j) = 33*j**4 - 282*j**3 - 1425*j**2 - 2250*j - 24. Let b(t) = -14*t**4 + 113*t**3 + 570*t**2 + 900*t + 10. Let s(h) = -12*b(h) - 5*g(h). Factor s(x).
3*x*(x + 3)*(x + 5)*(x + 10)
Let z = 6341/15852 + -1/79260. Determine n so that 392/5 + z*n**2 + 56/5*n = 0.
-14
Let h(q) be the second derivative of 0 + q**2 + 1/6*q**3 - 1/12*q**4 + 51*q. Factor h(t).
-(t - 2)*(t + 1)
Suppose 5*b - 9*b = 3*a - 17, 2*a = 4*b - 22. Factor 0*i**3 + 715*i - 462 - 93*i**2 - 32*i**2 + b*i**3 + 1307.
5*(i - 13)**2*(i + 1)
Solve 312*p**3 + 6687*p**2 + 201576*p + 3*p**4 + 1179387 + 14096*p - 20048*p + 5824*p**2 - 637*p**2 = 0.
-33, -19
Factor 2792*z + 14*z**3 - 2242*z**2 - 558 - 106*z**3 + 91*z**3 + 9*z**3.
2*(z - 279)*(z - 1)*(4*z - 1)
Let a(i) be the second derivative of -1/54*i**3 - 5/108*i**4 - 5 + 1/180*i**5 + 14*i + 5/18*i**2. Determine q so that a(q) = 0.
-1, 1, 5
Let d(u) be the first derivative of -48*u**5 - 391*u**4 - 760*u**3/3 - 48*u**2 + 13729. Let d(a) = 0. What is a?
-6, -4/15, -1/4, 0
Suppose 0 = 5*p - 3*r - 19, -3*r - 12 = -4*p + 5. Let j be (-4)/(-10)*((-165)/(-20) + -7). Solve 1/6*c**p + j*c + 0 = 0.
-3, 0
Let c(f) be the first derivative of -1/7*f**3 + 0*f**2 - 19 + 3/7*f. Factor c(r).
-3*(r - 1)*(r + 1)/7
Let i(s) = -33*s**3 + 41*s**2 - 8. Let d = 80 - 73. Suppose 572 - 215 = -d*u. Let h(x) = -4*x**3 + 5*x**2 - 1. Let r(v) = u*h(v) + 6*i(v). Factor r(m).
3*(m - 1)**2*(2*m + 1)
Suppose x - 4*b - 18 = 0, b = 4*x + 2*b - 4. Let g be (0*8/40)/1. Factor -2/3*w**2 + g + x*w.
-2*w*(w - 3)/3
Let f = 747348/5 - 149469. Find z such that f*z**4 - 144/5*z**2 - 51/5 - 42/5*z**3 - 30*z = 0.
-1, 17
Find u such that -7744/5 - 1/5*u**4 - 8096/5*u - 92/5*u**3 - 2292/5*u**2 = 0.
-44, -2
Let h(w) be the third derivative of -5*w**2 + 0 - 1/120*w**7 - 3/80*w**5 - 1/32*w**6 - 1/1344*w**8 + 0*w**3 + 0*w**4 - 10*w. Suppose h(v) = 0. What is v?
-3, -1, 0
Let t be (6 - 3)/3 + -6. Let b = t - -8. Factor z**3 + 2*z**2 - 3*z - z + 0*z**3 + z**b.
2*z*(z - 1)*(z + 2)
Let w(r) be the third derivative of r**6/240 + r**5/120 - r**4/3 - 4*r**3/3 + 5*r**2 + 126. Factor w(v).
(v - 4)*(v + 1)*(v + 4)/2
Let 86*s + 4 - 4 - s**3 + 3111822*s**2 - 3111795*s**2 + 38*s = 0. What is s?
-4, 0, 31
Suppose 63 = -16*s + 175. Suppose s*f = 9*f + h - 12, -2*f + 20 = 3*h. Find p, given that 1/5*p + 0 + 1/2*p**f - 1/2*p**2 - 1/5*p**3 = 0.
-1, 0, 2/5, 1
Let 323208/5*j + 2/5*j**5 + 84026/5*j**3 + 326424/5*j**2 + 812/5*j**4 + 0 = 0. What is j?
-201, -2, 0
Let v = 3857 - 3853. Let y(x) be the first derivative of 3/8*x**v - 4/3*x**3 + 8 + 7/4*x**2 - x. Factor y(l).
(l - 1)**2*(3*l - 2)/2
Let u(k) = 8*k**2 - 43*k + 1. Let g(i) = 5*i**2 - 13*i - 4. Let h(q) = 6*q**2 - 12*q - 6. Let j(v) = 3*g(v) - 2*h(v). Let t(a) = 17*j(a) - 6*u(a). Factor t(b).
3*(b - 1)*(b + 2)
Let f(q) = 1523*q - 149252. Let s be f(98). Solve -13/2*x**4 + 0 - 4*x - 6*x**s - 21/2*x**5 + 27*x**3 = 0.
-2, -2/7, 0, 2/3, 1
Let n(h) = 3*h - 29. Let w be n(12). Suppose 0 = -4*b, 3*p - b + w = 196. Factor 3*c**2 - 27*c**3 - 48*c**5 + 33*c**4 + p*c**4 - 24*c**4.
-3*c**2*(c - 1)*(4*c - 1)**2
Let d(z) = -3*z - 93. Let y be d(-12). Let p = -54 - y. Suppose 1/11*m**p + 13/11*m + 8/11*m**2 + 6/11 = 0. What is m?
-6, -1
Let x be 1 + -57 + 26 - -35. Let 2*b**3 + 0*b**2 + 0*b + 2/3*b**x - 8/3*b**4 + 0 = 0. Calculate b.
0, 1, 3
Let z(p) be the second derivative of -1/40*p**5 - 12*p + 3 - p**2 + 1/3*p**3 + 1/24*p**4. Factor z(r).
-(r - 2)*(r - 1)*(r + 2)/2
Find u, given that 1/3*u**5 + 0 + 4/3*u**2 - 2*u**3 + 5/3*u - 4/3*u**4 = 0.
-1, 0, 1, 5
Let a(x) be the first derivative of -x**3/18 + 629*x**2/3 - 791282*x/3 + 6992. Determine c so that a(c) = 0.
1258
Let g(w) be the third derivative of -2/21*w**3 + 0*w - 1 - 1/42*w**4 - 13*w**2 - 1/420*w**5. Factor g(d).
-(d + 2)**2/7
Let t be 34/70 + (-12)/60. Let q(j) be the second derivative of -t*j**7 - 4/3*j**3 + j**5 + 0 + 2/15*j**6 - 12*j + 0*j**2 - 1/3*j**4. Let q(f) = 0. Calculate f.
-1, -2/3, 0, 1
Let s(k) = k**2 - k. Let d be -75*6/(-27) - 3/(-9). Let p(t) = 2 - 10*t - 6*t**2 + d*t - 3. Let i(j) = 6*p(j) + 34*s(j). Let i(u) = 0. Calculate u.
1, 3
Let k(j) be the second derivative of -j**6/45 - 13*j**5/30 - 19*j*