) be the second derivative of s**4/54 + 62*s**3/9 + 961*s**2 + 1130*s. Solve i(w) = 0.
-93
Solve -16/7 - 76/7*u**2 - 160/7*u = 0 for u.
-2, -2/19
Let l = 699625 - 699625. Factor -1/3*y**2 + 28/3*y + l.
-y*(y - 28)/3
Let v(b) be the second derivative of -b**6/10 - 9*b**5/2 - 109*b**4/4 - 66*b**3 - 78*b**2 + 7214*b. Determine k so that v(k) = 0.
-26, -2, -1
Let 1/4*k**5 + 306*k**3 + 0*k - 289*k**2 + 0 - 69/4*k**4 = 0. Calculate k.
0, 1, 34
Find o such that -56*o + 9*o**5 - 13*o**5 - 12*o**4 - 4*o + 28*o**3 + 36*o - 32 + 44*o**2 = 0.
-4, -1, 1, 2
Let f(g) be the first derivative of 5*g**6/6 - 2*g**5 - 5*g**4 + 10*g**3/3 + 15*g**2/2 - 333. Let f(z) = 0. Calculate z.
-1, 0, 1, 3
Suppose 6*i + 4*r = 3*i - 10, -r = 4. Suppose -25*q**4 - 22*q - 6*q**3 - 25*q**i + 12*q + 15*q**5 + 50*q**2 + q**3 = 0. Calculate q.
-1, 0, 2/3, 1
Let j(r) be the first derivative of 169*r**4/7 - 680*r**3/7 + 18*r**2/7 + 2641. Determine m so that j(m) = 0.
0, 3/169, 3
Let b(y) = -14*y**3 + 146*y**2 + 454*y + 306. Let t(s) = 62*s**3 - 584*s**2 - 1817*s - 1225. Let d(i) = 18*b(i) + 4*t(i). Factor d(o).
-4*(o - 76)*(o + 1)*(o + 2)
Let h be -3 + 2065/14 - -8. Let t = 2141/14 - h. Factor -6/7*u**3 + 0*u - 3/7*u**4 + 0 - t*u**2.
-3*u**2*(u + 1)**2/7
Let k(j) = -1077*j**2 + 164*j + 153. Let n(p) = -404*p**2 + 55*p + 51. Let w(o) = -3*k(o) + 8*n(o). Factor w(v).
-(v + 1)*(v + 51)
Let w = -2 - 5. Let x(y) = -3*y**3 + 22*y**2 - 10*y. Let n(z) = -5*z**3 + 23*z**2 - 11*z. Let m(o) = w*x(o) + 6*n(o). Find i such that m(i) = 0.
-2, 0, 2/9
Let t(v) be the second derivative of -64/3*v**3 + 2/21*v**7 - 6/5*v**6 - 4*v + 0 + 0*v**4 + 22/5*v**5 + 0*v**2. Factor t(l).
4*l*(l - 4)**2*(l - 2)*(l + 1)
Let g(l) = 2*l**2 - 1976*l + 518164. Let t(w) = 4*w**2 - 3922*w + 1036329. Let y(h) = 5*g(h) - 2*t(h). Solve y(o) = 0 for o.
509
Suppose -18*s = -6*s + 72. Let p be 1*s/27*(-6)/8. Determine g, given that -1/3*g + 1/6*g**3 - p*g**2 + 0 = 0.
-1, 0, 2
Let d(l) be the first derivative of -3*l**5/10 - l**4/4 + 4*l**3 + 6*l**2 - 79*l - 52. Let t(v) be the first derivative of d(v). Factor t(u).
-3*(u - 2)*(u + 2)*(2*u + 1)
Let v(l) = -11*l + 94. Let u be v(6). Let w be (-30)/u*((-84)/15 - -2). Solve -3/7*z**2 + 0 - w*z = 0 for z.
-9, 0
Factor -15356882/5 + 11084/5*m - 2/5*m**2.
-2*(m - 2771)**2/5
Let p be ((-54)/4 - 1)/(180/(-4680)). Suppose 13*v - p = -351. Factor 4/23*k + 2/23 + 2/23*k**v.
2*(k + 1)**2/23
Factor 432/19*z + 434/19 - 2/19*z**2.
-2*(z - 217)*(z + 1)/19
Let l(g) = 3*g - 4. Let o(a) = a + 6. Let s be o(-3). Let b be l(s). What is v in 5*v - b*v + 10*v - 6 + 27*v**2 + 11*v = 0?
-1, 2/9
Let a(h) be the third derivative of -h**5/90 + 121*h**4/18 - 14641*h**3/9 - 611*h**2. Factor a(p).
-2*(p - 121)**2/3
Let d(z) be the second derivative of -3*z**5/20 + 209*z**4/4 - 310*z**3 + 618*z**2 + 1915*z. Factor d(m).
-3*(m - 206)*(m - 2)*(m - 1)
Solve -31/6 - 46/3*g + 1/2*g**2 = 0.
-1/3, 31
Let z(q) = -8 + 65*q - 31*q - 33*q. Let d be z(13). Determine i so that 125*i**2 + 80*i + 27*i**3 - 16*i**3 + 84*i**3 + 35*i**4 + 20 + 5*i**d = 0.
-2, -1
Let q(y) be the first derivative of -96 - 2/3*y**3 - 33/2*y + 133/4*y**2. Factor q(s).
-(s - 33)*(4*s - 1)/2
Suppose 105/2 - 18*z + 3/2*z**2 = 0. Calculate z.
5, 7
Let i be (10 - (18 + -9))/(1/2). Solve -20*m + 22 - 66*m + 8 - 10 + 4*m**i + 5*m = 0.
1/4, 20
Let a(h) be the second derivative of h**5/60 - 19*h**4/72 + 10*h**3/9 + 25*h**2/12 - 2121*h + 2. Factor a(t).
(t - 5)**2*(2*t + 1)/6
Let s = -1016/1565 - -3674/4695. Factor 4/15*m - s*m**3 + 0 + 2/15*m**2.
-2*m*(m - 2)*(m + 1)/15
What is v in 2*v**2 - 6*v**2 + 9*v**2 + 260 + 140*v - 4*v**2 + 4*v**2 = 0?
-26, -2
Suppose 0 = 153*d + 8*d - 805. Let v be (-234)/(-14) - 2/(-7). Let v - 5*c**4 + d*c**2 + 10*c**3 - 10*c + 12 - 29 = 0. What is c?
-1, 0, 1, 2
Suppose -70/3*b**3 + 8/3*b**4 - 112/3*b**2 + 40*b + 0 = 0. Calculate b.
-2, 0, 3/4, 10
Let d = 8322 + -58248/7. What is z in -8/7*z - 2/7*z**4 - 4/7*z**2 + d + 8/7*z**3 = 0?
-1, 1, 3
Let r = 2/4662477 + -6738315379/18649908. Let m = 1559/4 + r. Solve 0 - 16/3*g**4 - m*g**2 + 0*g - 64/3*g**3 - 4/9*g**5 = 0 for g.
-4, 0
Let k(v) be the second derivative of -2*v**7/21 + 931*v**6/10 - 241143*v**5/10 - 1839587*v**4/12 - 246870*v**3 + 246402*v**2 - 665*v. Solve k(f) = 0.
-2, 1/4, 351
Let m(t) = t**3 - 14*t**2 + 59*t - 146. Let w be m(10). Find d such that w*d + 1/2 + 968*d**2 = 0.
-1/44
Factor -412 + 1/3*n**2 - 616/3*n.
(n - 618)*(n + 2)/3
Let i(v) be the second derivative of -v**9/3024 - v**8/448 - v**7/252 + 23*v**4/12 - v**2/2 - 58*v. Let l(w) be the third derivative of i(w). Factor l(s).
-5*s**2*(s + 1)*(s + 2)
Let c be (-6*(-8)/12)/((-8)/(-8)). Suppose -c*p + 78 - 93 = -5*h, -2*p + 15 = 5*h. Find g, given that 2/7*g**h + 4/7*g**2 - 6/7*g + 0 = 0.
-3, 0, 1
Factor 21296/7 - 2/7*w**3 - 2904/7*w + 132/7*w**2.
-2*(w - 22)**3/7
Factor -290/3*n + 2/3*n**3 - 850/3 - 14/3*n**2.
2*(n - 17)*(n + 5)**2/3
Let t(m) be the third derivative of m**5/30 + 123*m**4/4 + 734*m**3/3 - 367*m**2 - 3*m + 2. Factor t(k).
2*(k + 2)*(k + 367)
Let w(q) be the second derivative of -1/18*q**6 + 1/12*q**5 + 0*q**2 - 5/18*q**3 + 0 - 15*q + 5/36*q**4. Solve w(g) = 0.
-1, 0, 1
What is i in -107*i**3 + 11180*i**2 + 119*i**3 - 1024935 + 21415 - 1316034*i + 70594*i - 37*i**3 = 0?
-4/5, 224
Let z(y) be the second derivative of 1/105*y**7 - 4/75*y**6 + 3 + 1/15*y**4 - 1/3*y**3 - 17*y + 2/5*y**2 + 2/25*y**5. Factor z(q).
2*(q - 2)*(q - 1)**3*(q + 1)/5
Suppose -10*f = 565 + 425. Let o be (f + 99)/(2/(2*1)). Suppose 6/13*z**3 + o - 2/13*z**5 + 0*z**4 + 4/13*z**2 + 0*z = 0. Calculate z.
-1, 0, 2
Suppose -24 - 2 = -13*y. Solve s**2 - 7*s**y - 11 + 8 - 15 + 8*s**2 = 0.
-3, 3
Let d(y) be the third derivative of 0*y**3 - 1/210*y**7 + 1/12*y**5 + 0*y + 1/12*y**4 + 0 + 1/40*y**6 - 1/336*y**8 - 18*y**2. Find s, given that d(s) = 0.
-1, 0, 2
Let i = -22 + 27. Suppose i*a + 4*f = 3, -2*a - 8*f = -3*f + 9. Suppose -25*h**3 + 8 + 24*h**a + 2*h**2 - h**2 + 10*h = 0. What is h?
-2, -1, 4
Determine q so that 51*q**2 - 17633/3*q - 1/9*q**3 + 52441/9 = 0.
1, 229
Let r be ((-452)/10)/((-2)/5) - 5. Factor 35*x**2 + 25*x**2 - 4*x**3 - r*x - 192*x + 500.
-4*(x - 5)**3
Let o be 1*(-5)/40*0. Let n(y) be the third derivative of o*y**4 + 0 - 1/12*y**5 + 0*y - 8*y**2 + 0*y**3. Determine v so that n(v) = 0.
0
Let o(l) = -10*l**4 - 63*l**3 - 604*l**2 - 1791*l - 1618. Let t(p) = -p**4 - p**3 + p - 2. Let b(k) = -2*o(k) + 18*t(k). Determine w, given that b(w) = 0.
-40, -10, -2
Let b be 5/1 - (-13395)/(-141). Let o be ((-4)/25)/(9/b). Let -16/5*u**4 + 36/5*u**3 + 8/5*u**2 + o - 36/5*u = 0. What is u?
-1, 1/4, 1, 2
Let k(z) be the second derivative of -3*z**5/100 - 1611*z**4/20 - 865107*z**3/10 - 464562459*z**2/10 - 1069*z. Factor k(t).
-3*(t + 537)**3/5
Let o = -13391 + 80395/6. Suppose -13/6*a**4 + o*a**2 + 1/6*a**5 + 0 + 0*a + 35/6*a**3 = 0. What is a?
-1, 0, 7
Suppose -5*y - 33 = -3*w, -26 = -2*w - 2*y - 4. Suppose w*z + 16 = -4*u + 7*z, 3*z + 12 = u. Factor 18/5*k**2 + 4/5*k + u + 8/5*k**3.
2*k*(k + 2)*(4*k + 1)/5
Factor 200*t**2 - 36*t**5 - 170*t + 192*t**4 - 396*t**3 + 170*t + 40*t**5.
4*t**2*(t - 1)**2*(t + 50)
Let a = -4479381/7 + 639919. Let -30/7*y + 2/7*y**2 + a = 0. What is y?
2, 13
Find o such that -317 - 5*o**2 + 148*o - 205 + 7*o**2 + 60 = 0.
-77, 3
Let z(y) be the first derivative of y**5/5 + 3*y**4 + 10*y**3 - 50*y**2 + 49*y - 121. Let g(d) be the first derivative of z(d). Factor g(p).
4*(p - 1)*(p + 5)**2
Let i(d) be the third derivative of d**5/20 + 91*d**4/8 + 235*d**2. Solve i(y) = 0.
-91, 0
Let n(l) = l**2 + 5*l - 25. Let z be n(3). Let k(s) = -s - 2. Let x(o) = 39*o**2 - 39*o + 18. Let y(a) = z*x(a) - 6*k(a). Solve y(i) = 0 for i.
2/13, 1
Let q(f) = -72*f**2 - 17*f**3 - 28*f**3 + 118*f - 8*f**4 + 7*f**3. Let l(o) = 15*o**4 + 75*o**3 + 144*o**2 - 234*o. Let c(v) = -5*l(v) - 9*q(v). Factor c(m).
-3*m*(m - 1)*(m + 6)**2
Let q(m) be the third derivative of -m**7/1260 + 7*m**6/36 - 1213*m**5/60 + 41615*m**4/36 - 1413721*m**3/36 - 3620*m**2 - 3*m. Factor q(a).
-(a - 41)**2*(a - 29)**2/6
Let x(v) be the third derivative of v**6/60 - v**5/6 + v**4/3 - 193*v**2 + 2. Solve x(n) = 0 for n.
0, 1, 4
Suppose 5*b - 18 = 170*z - 168*z, 23 = -5*z + 3. Let 13/5*m**3 + 13/5*m**4 + 0 + 3/5*m**b + 3/5*m**5 + 0*m = 0. What is m?
-3, -1, -