-134165 + 536663/4. Factor 75/2*b + q*b**2 + 1875/4.
3*(b + 25)**2/4
Let s be (-21)/35 + (-23)/(-5). Let i be ((-92)/20 + 4)*1200/(-270). Solve 1/3*k**3 - 5/2*k**2 + 5/6*k**s - i*k - 2/3 = 0 for k.
-1, -2/5, 2
Let k(w) be the second derivative of w**4/4 - 19*w**3/6 - 3*w**2 + 32*w. Let j be k(7). Find g, given that j*g**2 + 11*g**2 - 4*g**2 + 9*g = 0.
-3/5, 0
Let j be (120/5)/(10/(-2)*-1). Let o = 331/210 - -1/42. Find v, given that j*v**2 - 52/5*v + o = 0.
1/6, 2
Let r = 291 - 289. Factor -4*b**3 + 2*b**3 - 15 + 7*b**3 - 5*b**r - 25*b.
5*(b - 3)*(b + 1)**2
Suppose 0 = 67*m - 1110 + 1110. Let w(a) be the first derivative of -1/14*a**4 + 1/35*a**5 + 0*a + 1/21*a**3 + 22 + m*a**2. Factor w(x).
x**2*(x - 1)**2/7
Let h = 92781/72065 + -18/10295. Factor -3/7*q**3 + 0 - h*q**2 - 6/7*q.
-3*q*(q + 1)*(q + 2)/7
Let v(k) be the first derivative of k**3/9 - 568*k**2/3 + 322624*k/3 + 1906. Solve v(f) = 0.
568
Suppose 2*m = a + 5, 106*a - 111*a + 17 = -3*m. Factor m*i**3 + 0 - 6*i - 3/2*i**2 + 3/2*i**4.
3*i*(i - 1)*(i + 1)*(i + 4)/2
Let n(v) = v**3 + v**2 - 3*v + 3. Let f be n(-2). Let k be ((-3)/2)/(9/(-12)). Solve -3*l**4 - f*l**4 + 15*l**k + 5*l**4 + 3*l**3 + 9*l = 0.
-1, 0, 3
Let m be 40/(-12) - -4 - (-155)/15. Suppose g - 17 = -5*j, 0 = g - 5*j + 2 + m. Find w such that -18*w**g + 15/2*w**3 + 9 - 33/2*w = 0.
-1, 2/5, 3
Let o be (-582)/(-5) + 36/(-90). Factor -28*y**3 + 4*y**4 + 0*y**5 + 4*y**5 - o*y**2 - 24*y + 16*y**2 + 48*y**2.
4*y*(y - 3)*(y + 1)**2*(y + 2)
Let c(s) be the second derivative of -s**8/2240 - 3*s**7/1120 + 3*s**6/80 + 5*s**3/3 + 7*s**2/2 - 261*s. Let n(k) be the second derivative of c(k). Factor n(b).
-3*b**2*(b - 3)*(b + 6)/4
Determine p so that -83/2*p + 167/4 - 1/4*p**2 = 0.
-167, 1
Suppose 0 - 48 = -2*c. Let d = 26 - c. Find j such that 2*j**2 - 5*j**2 + 3*j**4 + 4*j**2 - 4*j**d = 0.
-1, 0, 1
Suppose -8 = -w - 2*d, -2*w + 2*d + 9 - 5 = 0. Factor -8*j - 33*j**2 + 15*j**2 + w*j + 17*j**2.
-j*(j + 4)
Let s(l) be the third derivative of 19/6*l**3 + 7/240*l**5 + 0*l - 1/720*l**6 + 0*l**4 + 0 - 21*l**2. Let h(p) be the first derivative of s(p). Factor h(q).
-q*(q - 7)/2
Let s(a) = a**2 + 7*a + 46. Let v be s(-5). Factor -80*o - 58*o - 53 - 19 + 15*o**2 - v*o.
3*(o - 12)*(5*o + 2)
Let z(t) be the second derivative of t**8/560 + t**7/56 + t**6/30 - 25*t**3/3 + t**2 - 26*t. Let g(l) be the second derivative of z(l). Let g(k) = 0. What is k?
-4, -1, 0
Let s(o) be the second derivative of -o**5/5 - o**3/6 - 24*o + 5. Let w(y) = -9*y**3 - 9*y**2 - 29*y - 27. Let v(l) = 2*s(l) - w(l). Factor v(x).
(x + 3)**3
Let z(u) be the second derivative of u**4/18 - 41*u**3/9 + 60*u**2 + 3063*u. Solve z(l) = 0 for l.
5, 36
Let t(o) be the third derivative of 0*o - 1/120*o**4 + 13/300*o**5 + 0 - 13/30*o**3 + 130*o**2 + 1/600*o**6. Factor t(r).
(r - 1)*(r + 1)*(r + 13)/5
Solve 0*i**4 + i - 12*i**2 + i**4 - 4*i**4 + 18*i**3 + 15 - 13*i - 6*i = 0.
-1, 1, 5
Let x(h) be the third derivative of -h**8/3024 + 23*h**6/540 - 32*h**5/135 + 41*h**4/72 - 20*h**3/27 + 3187*h**2 - 2*h. What is p in x(p) = 0?
-8, 1, 5
Let h = 16545/77 + -2362/11. Factor 4/7*n**2 + 9/7*n**3 + h*n**5 + 0*n + 0 + 6/7*n**4.
n**2*(n + 1)**2*(n + 4)/7
Let a be 0/(39/(-21) + 2 + 120/140). Let t(q) be the second derivative of 245/2*q**2 - 35/3*q**3 + 12*q + a + 5/12*q**4. Let t(f) = 0. Calculate f.
7
Let p(j) be the first derivative of 0*j + 3/2*j**4 + 37/2*j**2 + 1/15*j**5 + 0*j**3 - 41. Let w(f) be the second derivative of p(f). Factor w(i).
4*i*(i + 9)
Let g be (-80487)/24390*5/(-11). Factor 3/8*v**2 + g + 3/2*v.
3*(v + 2)**2/8
Suppose -t - 2*w = 2*t - 7, -w - 14 = -2*t. Let c = 34 + t. Suppose 52*l**2 - c*l**4 + 45*l**3 - 12*l**2 - 45*l + 6 - 7*l**2 = 0. What is l?
-1, 2/13, 1
Let v(l) = -5*l**3 + 1535*l**2 - 3055*l + 1536. Let z(s) = -3*s**3 + 1150*s**2 - 2291*s + 1152. Let k(t) = 8*v(t) - 11*z(t). Let k(h) = 0. What is h?
-384/7, 1
Let p be (21/((-252)/(-16)))/(-1 - 13/(-9)). Let b(q) be the third derivative of -24*q**2 + 1/15*q**5 + 0*q + 2/3*q**p + 0 - 1/3*q**4. Solve b(r) = 0.
1
Let l(i) be the second derivative of 3*i**5/20 + 9*i**4 - 39*i**3/2 - 111*i**2 + 3537*i. Factor l(y).
3*(y - 2)*(y + 1)*(y + 37)
Suppose 4*c + c + 5 = 0. Let q be (c + 0)*(0/3 - 2). Let 2*y - 8448 + 8448 - 2*y**q = 0. Calculate y.
0, 1
Let n(o) = 2*o**2 - 302*o - 664. Let m(i) = 2*i + 38. Let b(w) = -10*m(w) - n(w). Solve b(r) = 0.
-1, 142
Suppose 12*y - 10*y + 3*a = 15, 0 = -y + 4*a - 9. Determine q, given that -19*q**2 - 6*q**y - q + 15*q**4 - 17*q + 3*q**5 + 4*q**2 + 21*q**3 = 0.
-3, -2, -1, 0, 1
Let d(m) be the third derivative of 0 + 0*m - 32/5*m**5 + 800/3*m**3 + 40/3*m**4 + 275*m**2 - 2/105*m**7 - 2/3*m**6. Factor d(p).
-4*(p - 2)*(p + 2)*(p + 10)**2
Let q(p) = -3*p**2 + 554*p - 75623. Let r(b) = b**2 - 2*b - 1. Let i(l) = -5*q(l) - 10*r(l). Factor i(s).
5*(s - 275)**2
Suppose -5*x - 1 = -2*r, -5*r + 2 = 2*x - 7*r. Let h be -15 + 12 + (x - 42/(-9)). Let 0*n**3 + 0 - 1/3*n**5 - 2/3*n**4 + h*n**2 + 1/3*n = 0. Calculate n.
-1, 0, 1
Find g such that 121/2*g**5 + 174*g - 469/2*g**3 - 462*g**4 + 446*g**2 + 16 = 0.
-1, -2/11, 1, 8
Let w(f) be the first derivative of 2*f**5/25 + f**4 - 106*f**3/15 + 42*f**2/5 - 596. Find r such that w(r) = 0.
-14, 0, 1, 3
Let p = 344 - 189. Let p*a**2 - 11*a**3 + 11*a**3 + 5*a**4 - 90*a - 50*a**2 - 40*a**3 = 0. What is a?
0, 2, 3
Let l(g) = g**2 + 71*g + 134. Let q(y) = 9*y - 169 - 2*y**2 - 33 - 115*y. Let b(n) = 7*l(n) + 5*q(n). Factor b(w).
-3*(w + 3)*(w + 8)
Suppose 1431 + 7935 = 1561*y. Determine k, given that 0 - y*k**2 - 2*k**3 + 0*k - 2/3*k**5 + 10/3*k**4 = 0.
-1, 0, 3
Determine l, given that -124 + 2840*l - 3319*l + 109 - l**2 - 634 - 305 = 0.
-477, -2
Let p(j) = 5*j**5 - 4*j**4 + 11*j**3 - 12. Let m(v) = 236*v**5 - 2 - 4*v**4 - 8 + 10*v**3 - 232*v**5. Let a(g) = -6*m(g) + 5*p(g). Factor a(z).
z**3*(z - 1)*(z + 5)
Let d(b) be the first derivative of b**5 - 1505*b**4/8 + 19945*b**3/2 - 236155*b**2/4 - 133225*b/2 - 7515. Find q, given that d(q) = 0.
-1/2, 5, 73
Suppose 12 = 4*n - 0*n, 1530 = 2*g - 4*n. Let x = g - 5394/7. Factor x*a**2 + 3/7 - 6/7*a.
3*(a - 1)**2/7
Let i(x) = -13*x**2 + 159*x - 654. Let q(o) = 24*o**2 - 326*o + 1308. Let f(c) = 13*i(c) + 7*q(c). Solve f(u) = 0 for u.
-218, 3
Let o(v) = 4*v**4 + 21*v**3 + 36*v**2 + 19*v. Suppose -71*y = -75*y + 28. Let t(u) = 9*u**4 + 43*u**3 + 73*u**2 + 39*u. Let b(r) = y*o(r) - 3*t(r). Factor b(h).
h*(h + 1)**2*(h + 16)
Let t(p) be the third derivative of -p**6/1140 + 67*p**5/570 - 272*p**4/57 - 1156*p**3/57 - 339*p**2. Factor t(l).
-2*(l - 34)**2*(l + 1)/19
Let n(h) = 40*h**3 - 115*h**2 + 3050*h - 35. Let o(s) = 7*s**3 - 19*s**2 + 508*s - 6. Let p(b) = -6*n(b) + 35*o(b). Solve p(x) = 0.
-13, 0, 8
Let a(r) be the third derivative of r**6/480 - 3*r**5/40 + 41*r**4/96 + 5*r**3/2 - 223*r**2 + 5. Determine v so that a(v) = 0.
-1, 4, 15
Let q(n) be the third derivative of n**6/30 - 2*n**5 + 209*n**4/6 + 160*n**3 + n**2 - 3*n - 166. Factor q(v).
4*(v - 16)*(v - 15)*(v + 1)
Let b(v) be the third derivative of -v**5/20 - 55*v**4/4 - 321*v**3/2 + 2*v**2 - 90*v + 6. Factor b(r).
-3*(r + 3)*(r + 107)
Let r(d) be the second derivative of -d**5/30 + 11*d**4/6 - 121*d**3/3 + 15*d**2/2 + 3*d - 10. Let w(v) be the first derivative of r(v). Factor w(u).
-2*(u - 11)**2
Factor 330 - 414*u + 33*u - 13*u**3 + 180*u**2 + 8*u**3 - 124*u.
-5*(u - 33)*(u - 2)*(u - 1)
Let -15*i**3 - 46*i**2 + 8*i**4 + 68*i - 28*i + 16*i**2 - 3*i**4 = 0. Calculate i.
-2, 0, 1, 4
Let q(f) be the second derivative of -f**5 - 2915*f**4/12 + 3325*f**3/3 - 740*f**2 + 20*f - 1. Suppose q(l) = 0. Calculate l.
-148, 1/4, 2
Suppose 0 = -2*x - 8, 10 = -3*o - 4*x. Let t(w) be the second derivative of 37/4*w**4 - 11*w - 30*w**3 + 1/10*w**6 + 54*w**o + 0 - 3/2*w**5. Factor t(f).
3*(f - 3)**2*(f - 2)**2
Let l(g) be the first derivative of -64/3*g - 103 - 4/15*g**5 + 1/9*g**6 + 32/9*g**3 - 4/3*g**4 + 16/3*g**2. Factor l(w).
2*(w - 2)**3*(w + 2)**2/3
Let t(s) be the second derivative of -s**4/132 + 16*s**3/11 + 97*s**2/22 - 55*s + 8. Suppose t(i) = 0. What is i?
-1, 97
Let t(u) be the third derivative of -7/9*u**3 + 1/90*u**4 + 1/450*u**5 + 0 + 0*u + 80*u**2. Determine n so that t(n) = 0.
-7, 5
Solve -33/8*g**2 - 3/4*g**3 + 27/2 + 3/8*g**4 + 9/2*g = 0 for g.
-2, 3
Let z(v) = 11