*2/3
Let d(o) be the second derivative of -5*o**7/189 + 107*o**6/135 + 101*o**5/30 + 217*o**4/54 - 22*o**3/27 - 16*o**2/3 + 786*o. Find c, given that d(c) = 0.
-1, 2/5, 24
Find y such that 32/9*y**3 + 8/3 - 2/3*y**4 + 2*y**2 - 4/9*y**5 - 64/9*y = 0.
-3, -2, 1/2, 1, 2
Suppose -5*p - 3*b - 5 = 0, -2*p = 46*b - 45*b + 1. Factor 107 - 3*u - u + 114 - 223 + 4*u**3 + p*u**4.
2*(u - 1)*(u + 1)**3
Suppose 9*c = 4*u + 9, -4*u = -3*u - c + 1. Let b(o) be the second derivative of -115/48*o**4 + 5/4*o**3 + u + 0*o**2 + 7/16*o**5 - 9*o. Factor b(p).
5*p*(p - 3)*(7*p - 2)/4
Let j be ((25/(-2))/5)/(210/(-168)). Find p, given that 4*p**2 + 8*p**4 + 11*p**2 - 2*p**2 - 14*p**3 + 2*p**4 - 2*p**5 - 7*p**j = 0.
0, 1, 3
Suppose 118/5*u - 372/5 + 2/5*u**2 = 0. Calculate u.
-62, 3
Factor -2/3*m**3 - 50/3*m**2 - 44*m + 0.
-2*m*(m + 3)*(m + 22)/3
Let i = -369 - -375. Suppose 2*y = 5*w + 15, 0 = 5*y - i*y + 2*w + 6. Suppose -1/2*x**2 + y*x + 1/2*x**4 + 0*x**3 + 0 = 0. What is x?
-1, 0, 1
Let i = 109166 - 545829/5. Factor -2/5*k + 8/5 - i*k**2.
-(k - 2)*(k + 4)/5
Let j(a) = 6*a**2 + 13048*a + 14191885. Let v(t) = 3*t**2 - 2*t + 10. Let b(u) = j(u) - v(u). Factor b(s).
3*(s + 2175)**2
Suppose 0 = -29787*g + 30176*g - 1167. Factor 9/4*k**2 - 3/2*k + 0 - 3/4*k**g.
-3*k*(k - 2)*(k - 1)/4
Let y(k) = -k**3 + 15*k + 1. Let o(b) = 25*b**3 - 1440*b**2 - 104130*b - 30. Let w(c) = -o(c) - 30*y(c). Find u, given that w(u) = 0.
-144, 0
Let j = 38 - 35. Let 41*u**2 + 233*u**3 - 42*u**4 - 17*u**2 + 8*u - 259*u**j = 0. What is u?
-1, -2/7, 0, 2/3
Let o be -6*(17/(-8))/(2/8). Let j = o + -46. Determine a so that 42*a - 104*a**2 + 28*a**3 - j*a + 24 + 15*a = 0.
-2/7, 1, 3
Let i be (-1430)/(-14) + 24/28. Let 5 - 493*u - 845*u**2 + i*u - 50 = 0. Calculate u.
-3/13
Let j(y) be the second derivative of y**5/360 + y**4/18 + y**3/3 + 31*y**2 + 140*y. Let c(f) be the first derivative of j(f). Factor c(l).
(l + 2)*(l + 6)/6
Let g(v) = -14*v + 121. Let k be g(-38). Let r = 653 - k. Factor -2/5*b**2 + r*b + 0 - 2/5*b**4 + b**3.
-b**2*(b - 2)*(2*b - 1)/5
Let q(x) = 11*x**2 + 12*x - 18. Let z(k) be the first derivative of 9*k - 5/3*k**3 - 3*k**2 - 1. Let l(o) = -6*q(o) - 13*z(o). Factor l(i).
-(i - 3)**2
Let k(z) be the third derivative of 1/24*z**6 + 0 - 5/2*z**3 - 5/24*z**4 - 2*z + 1/4*z**5 - 168*z**2. Solve k(d) = 0.
-3, -1, 1
Let m(z) be the second derivative of z**4/4 + 1785*z**3 + 9558675*z**2/2 + 4294*z. Factor m(n).
3*(n + 1785)**2
Let j = -194 + 197. Suppose -7*k - j*k = 0. Solve k - 8/9*o - 4/9*o**5 - 4*o**3 + 20/9*o**4 + 28/9*o**2 = 0.
0, 1, 2
Let y = 70103/93428 - 8/23357. Factor 1/4*a**3 + 0*a - 1 + y*a**2.
(a - 1)*(a + 2)**2/4
Let o(a) = 155*a**3 - 505*a**2 - 45*a + 45. Let z(i) = 2 + 17*i**2 + 4*i**3 - 40*i**2 + 3*i**3 - 2*i. Let r(c) = -2*o(c) + 45*z(c). Factor r(m).
5*m**2*(m - 5)
Let f be (2698/(-5054) - 3/(-7)) + 94/171. Let 16/9*q**2 + 0 - 4/3*q - f*q**3 = 0. What is q?
0, 1, 3
Let l(b) be the third derivative of 97/40*b**5 + 1/140*b**7 + 16*b**3 + 0 + 84*b**2 - 9/40*b**6 - 9*b**4 + 0*b. Solve l(x) = 0.
1, 8
Let k be ((-53)/(-159))/(22/36). Factor 4/11*z**2 - k*z + 2/11.
2*(z - 1)*(2*z - 1)/11
Suppose 6*c = -249 + 315. Factor 3*o + 15*o**2 - c*o**2 + 61*o + 0*o**2.
4*o*(o + 16)
Let a(g) = -130*g**2 + 28*g - 4. Let r(q) = 148*q**2 - 27*q + 5. Let n(k) = 5*a(k) + 4*r(k). Let n(m) = 0. Calculate m.
0, 16/29
Let x(i) be the second derivative of i**8/23520 - i**7/441 + i**6/70 - 25*i**4/6 + i**2 + 75*i. Let o(f) be the third derivative of x(f). Factor o(r).
2*r*(r - 18)*(r - 2)/7
Let w(z) = 6*z**2 + 2370*z + 768. Let k(i) = 12*i**2 + 4742*i + 1526. Let y(x) = -2*k(x) + 5*w(x). Factor y(b).
2*(b + 394)*(3*b + 1)
Let k(p) = -p**2 + 15*p - 23. Let l be k(13). Factor 3*d**5 + 52*d**l + 9*d**4 - 4*d**3 + 15*d**4.
3*d**3*(d + 4)**2
Let i(v) = 4*v**4 - 206*v**3 + 476*v**2 - 217*v + 19. Let f(o) = o**4 - 69*o**3 + 159*o**2 - 73*o + 6. Let p(n) = 19*f(n) - 6*i(n). Let p(j) = 0. Calculate j.
-17, 0, 1
Let q be -9*(-20)/(-270)*(0 + -1059). Let o = q - 706. Let o*b + 4/5*b**4 + 24/5*b**3 + 36/5*b**2 + 0 = 0. Calculate b.
-3, 0
Let o(b) be the second derivative of 3/100*b**5 + 3/50*b**6 - 119*b + 1/70*b**7 - 3/20*b**4 - 1/5*b**3 + 0 + 0*b**2. Suppose o(y) = 0. Calculate y.
-2, -1, 0, 1
Let j(b) be the third derivative of -11*b**7/105 + 83*b**6/45 - 208*b**5/45 - 196*b**4/3 + 16*b**3 - 16*b**2 + b. Determine d so that j(d) = 0.
-2, 2/33, 6
Let c(g) be the second derivative of 0 + 1/12*g**4 - 306*g + 1/60*g**5 - 1/2*g**3 + 5/6*g**2. Factor c(v).
(v - 1)**2*(v + 5)/3
Let s(m) = 9*m**2 - 49*m. Let o be s(6). Let a be (o/36)/((-9)/(-12)). Factor -a*n**3 + 4/9*n**4 - 2/9*n + 0 + 8/9*n**2.
2*n*(n - 1)**2*(2*n - 1)/9
Let a(t) be the second derivative of -t**6/30 + 3*t**5/20 - 2*t**3/3 + 1080*t. Let a(d) = 0. What is d?
-1, 0, 2
Let h = -4634/1728025 - -1/4225. Let c = 404/2045 - h. Factor 1/5*q**4 - 1/5*q + 0 - c*q**2 + 1/5*q**3.
q*(q - 1)*(q + 1)**2/5
Let p be ((-1)/4*2)/(9/270*-5). Factor -5/4*k**4 - 8805/4*k**2 + 4730*k - 215/2*k**p - 2420.
-5*(k - 1)**2*(k + 44)**2/4
Let o(v) be the third derivative of -104*v**2 + 0 + 0*v**3 + 0*v - 1/3*v**4 + 1/3*v**5 + 21/10*v**6. Factor o(h).
4*h*(7*h - 1)*(9*h + 2)
Let d(k) be the second derivative of k - 13*k**4 + 0 + 1/5*k**5 + 800*k**2 + 240*k**3. Factor d(h).
4*(h - 20)**2*(h + 1)
Suppose 3 = 12*d - 15*d. Let t(n) = -n**2 - n + 1. Let b(s) = 6*s**2 + 4*s - 5. Let f(w) = d*b(w) - 5*t(w). Determine g, given that f(g) = 0.
0, 1
Suppose 0 = 4*l - 2*r + 414, r = 4*l + 361 + 48. Let h = l + 101. Find v, given that h*v**3 - 21*v - 5*v**4 - 39*v + 40*v**2 + 5*v**3 = 0.
-3, 0, 2
Let f = -494/3 + 5147/12. Let y = 9545/36 - f. Suppose 0 + 8/9*r**2 - 8/9*r**4 - 2/9*r**5 + y*r - 2/3*r**3 = 0. What is r?
-2, -1, 0, 1
Let f(j) be the first derivative of j**6/15 - 2*j**5/25 - 3*j**4/5 + 8*j**3/15 + 8*j**2/5 - 1317. What is z in f(z) = 0?
-2, -1, 0, 2
Let g(c) = 8*c**2 - 216*c + 6. Let v(p) = 26*p**2 - 650*p + 20. Let z(n) = 10*g(n) - 3*v(n). Factor z(f).
2*f*(f - 105)
Let i(j) be the first derivative of 5/6*j**2 - 2*j - 2/15*j**5 + 194 + 1/18*j**6 + 8/9*j**3 - 1/2*j**4. What is o in i(o) = 0?
-2, -1, 1, 3
Let a(p) be the third derivative of p**7/560 + p**6/120 + 53*p**3/6 + 18*p**2. Let v(q) be the first derivative of a(q). Factor v(g).
3*g**2*(g + 2)/2
Suppose -121/4*y - 29/2*y**2 - 3/4*y**3 - 17/2 = 0. Calculate y.
-17, -2, -1/3
Let j(y) be the second derivative of -y**5/10 - 24*y**4 - 47*y**3 + 286*y**2 + 5493*y. Determine r so that j(r) = 0.
-143, -2, 1
Suppose -4*r + 114*p = 109*p + 55, -10*r - 3*p + 33 = 0. Find a, given that 1/2*a**2 - 5/4*a**4 + r + 0*a - 3/4*a**3 = 0.
-1, 0, 2/5
Factor 184/7 - 640/7*i + 10/7*i**3 + 446/7*i**2.
2*(i - 1)*(i + 46)*(5*i - 2)/7
Let s(b) be the second derivative of -2 + 189/5*b**5 - 288*b**3 + 128*b**2 + 49/30*b**6 + 673/3*b**4 - 3*b. Factor s(m).
(m + 8)**2*(7*m - 2)**2
Suppose 64/3*o - 4/3*o**3 + 52/3*o**2 - 112/3 = 0. Calculate o.
-2, 1, 14
Let v(d) = 23*d - 188. Let f be v(8). Let m be (0 - 0/3)/f. Factor 2/3*k**3 + 2/9*k**2 + m + 0*k.
2*k**2*(3*k + 1)/9
Let z = -195386 - -195388. Factor -16/3*p + 2/3*p**z + 56/9 + 2/9*p**3.
2*(p - 2)**2*(p + 7)/9
Suppose -64 = -33*y + 2. Factor 147*u**2 - 6198*u - 31*u**y - 3*u**3 + 2313*u + 3675 + 97*u**2.
-3*(u - 35)**2*(u - 1)
Let a(z) be the first derivative of 34/5*z + 16/5*z**2 + 13 - 2/15*z**3. Factor a(l).
-2*(l - 17)*(l + 1)/5
Let i(p) be the third derivative of 0*p + 0*p**3 - 17/140*p**5 + 0 + 59*p**2 - 1/28*p**4. Factor i(b).
-3*b*(17*b + 2)/7
Factor -155*s + 8*s**2 + 17 - 86 - 58*s - 156 + 4*s**2.
3*(s + 1)*(4*s - 75)
Let t = -217747 - -1088756/5. Factor -18/5*c + t - 3/5*c**2.
-3*(c - 1)*(c + 7)/5
Suppose -11*w - 183 = -29. Let x be (2 - w/(-6))*0. Determine q, given that x*q - 3*q**3 + 159 - 12*q**2 - 147 + 3*q = 0.
-4, -1, 1
Let n be (2183/(-851))/59 - (-88422)/230. Factor -124/5*s + n + 2/5*s**2.
2*(s - 31)**2/5
Let k(g) = -g**3 - 5*g**2 + 7*g + 8. Let t = -15 + 9. Let q be k(t). Factor i**2 - 32*i + q + 31*i - 2*i**2.
-(i - 1)*(i + 2)
Let r(l) = -10*l**2 + 6*l + 4. Let f(m) = 9*m**2 - 5*m - 4. Let y(o) = 3*o**2 + 8*o + 2. Let s be y(-3). Let b(t) = s*r(t) + 6*f(t). Factor b(i).
4*(i - 1)*(i + 1)
Let w(i) = -3*i - 62. Let a be w(-22). Factor 13*k - 2*k**2 + 2*k**5 + 3*k**5 + 12*k*