 + 30/7*y**4 = 0. Calculate y.
-2, -1, 3/5, 3
Let z(a) = -a**5 - a**2 - 4. Let f(g) = 9*g**5 - 148*g**4 + 2088*g**3 - 13603*g**2 + 37908*g - 26224. Let i(s) = -f(s) - 5*z(s). Factor i(u).
-4*(u - 9)**4*(u - 1)
Solve 0*q + 0 + 4/5*q**5 + 76/5*q**4 + 284/5*q**3 - 364/5*q**2 = 0 for q.
-13, -7, 0, 1
Let b be 1/(-3)*(-6 + 855/150). Let y(w) be the second derivative of -b*w**2 - 1/20*w**4 + 0 + 1/10*w**3 + 1/100*w**5 - w. Factor y(n).
(n - 1)**3/5
Let n = -130301/28 + 4655. Let g = n + -25/28. Factor 1/4*r + 1/4*r**2 - g.
(r - 1)*(r + 2)/4
Let y(p) = p**3 - 27*p**2 + p - 34. Let r be y(27). Let b be 36/r + 5 - 2/(-14). Factor -2/5*z**2 - 4/5*z + b.
-2*z*(z + 2)/5
Let j = 358 - 356. Suppose -j = -5*y - 2*n + 14, 20 = 4*y - 2*n. Let 0 - 1/8*d**5 + 0*d**y + 0*d + 3/8*d**3 + 1/4*d**2 = 0. Calculate d.
-1, 0, 2
Let h(l) be the third derivative of 0 - 1/30*l**6 + 60*l**2 + 0*l - 5/2*l**4 + 3/5*l**5 - 50/3*l**3. Solve h(z) = 0 for z.
-1, 5
Let h be 117/(-99) + (-2)/(-11). Let u(s) = -s**3 - s**2 + s + 2. Let v(o) = 4*o**4 + 26*o**3 + 34*o**2 + 6*o - 12. Let j(b) = h*v(b) - 6*u(b). Factor j(m).
-4*m*(m + 1)**2*(m + 3)
Let a(j) be the second derivative of 20*j**7/21 - 47*j**6/6 + 83*j**5/4 - 25*j**4/6 - 230*j**3/3 + 140*j**2 + 2601*j. Factor a(t).
5*(t - 2)**3*(t + 1)*(8*t - 7)
Let m(l) = -7 - 2 + 54*l + l**2 - 43*l + 0. Let a be m(-12). Solve -8/7*y + 0 - 4/7*y**2 + 8/7*y**a + 4/7*y**4 = 0 for y.
-2, -1, 0, 1
Suppose 10 = 13*b - 16. Suppose 46 - t**2 - 9*t - 8 - 27*t - t**b = 0. Calculate t.
-19, 1
Let u be (8 + (-1596)/(-322) + -13)/(6/(-69)). Solve 5*g + 8 + u*g**2 = 0.
-8, -2
Let i(v) be the second derivative of 0 + 0*v**3 - 109*v + 5/12*v**4 - 45/2*v**2. Let i(z) = 0. What is z?
-3, 3
Let i(v) be the third derivative of -2*v + 0 + 1/9*v**3 - 8*v**2 + 1/18*v**4 + 1/90*v**5. Factor i(s).
2*(s + 1)**2/3
Let n be (((-336)/(-20))/7)/((-3)/15). Let v be n + 6 + -20 + 26. Factor v + 9/8*p + 1/8*p**2.
p*(p + 9)/8
Let u(p) = 22*p**2 + 240*p + 922. Let k(n) = -14*n**2 - 160*n - 620. Let b(v) = 8*k(v) + 5*u(v). Factor b(d).
-2*(d + 5)*(d + 35)
Let s(a) = 6*a**2 + 34*a - 4. Let p be s(-6). Suppose -2*o + 13 = -p*h + 13*h, -2*o + h = -19. Factor -o - 1/3*w**3 - 3*w**2 - 9*w.
-(w + 3)**3/3
Let d(u) = -u**2 + 28*u - 6. Let n(k) = -21*k - 32*k + 16 - 2 - 3 + k**2. Let l(h) = -11*d(h) - 6*n(h). Let l(b) = 0. What is b?
-2, 0
Factor -542/7*p - 12 + 26/7*p**2.
2*(p - 21)*(13*p + 2)/7
Suppose 0 = 5*q + 2*n - 4, 3*n + 19 = 5*q - 0*n. Let p be (-25 + 24)/(1/(-5)) - 2. Factor -q*l + 0 + 2*l**p - 2*l**2 + l + 2 - l**3.
(l - 2)*(l - 1)*(l + 1)
Suppose 183*g = 181*g + 28. Let y be (50/(-525))/((-2)/g). Let 3*x**3 + y - 3*x + 5/3*x**2 - 7/3*x**4 = 0. Calculate x.
-1, 2/7, 1
Suppose 0 = 14*a - 4019 + 4019. Let m(x) be the second derivative of 1/18*x**4 + 6*x + 0 - 1/5*x**5 + a*x**3 + 1/5*x**6 - 4/63*x**7 + 0*x**2. Factor m(w).
-2*w**2*(w - 1)**2*(4*w - 1)/3
Let m = -2303 + 2308. Let p(a) be the first derivative of -8/15*a**m + 7/12*a**4 + 1/6*a**6 + 10 + 0*a**2 - 2/9*a**3 + 0*a. Factor p(s).
s**2*(s - 1)**2*(3*s - 2)/3
Let h(j) = j**2 - 79*j + 530. Let v be h(72). Let k(y) be the second derivative of 1/25*y**5 - 4/15*y**4 + v*y + 2/3*y**3 - 4/5*y**2 + 0. Factor k(s).
4*(s - 2)*(s - 1)**2/5
Let a(s) be the first derivative of -s**7/210 - s**6/120 + s**5/30 - s**2 - 7*s - 3. Let f(y) be the second derivative of a(y). Let f(g) = 0. Calculate g.
-2, 0, 1
Suppose -4*y - 16 = 487*d - 488*d, 5*y + 19 = d. Determine x so that -2/9*x**d - 2/3*x**3 + 4/9*x + 2/9*x**2 + 2/9*x**5 + 0 = 0.
-1, 0, 1, 2
Let n(m) = -m**3 + m**2 - m - 1. Let i(u) = 16*u**3 - 54*u**2 + 78*u - 26. Let d(k) = -2*i(k) - 12*n(k). Factor d(p).
-4*(p - 2)**2*(5*p - 4)
Let r(y) be the first derivative of -y**6/6 - 4*y**5/5 - y**4 + 2*y**3/3 + 5*y**2/2 + 2*y + 120. Find o such that r(o) = 0.
-2, -1, 1
Let c = -166 - -169. Solve -829*g + 31 + 9 + 5*g**c + 5*g**4 + 809*g - 30*g**2 = 0 for g.
-2, 1, 2
Solve 53*d**2 - 230*d + 39*d - 70 + 51*d**2 + 18*d - 99*d**2 = 0 for d.
-2/5, 35
Let b = -101 - -158. Suppose j = -3*j - 20, -4*a + 5*j + b = 0. Factor 1500*g - a*g**2 + 5*g**3 + 973 + 158*g**2 + 4027.
5*(g + 10)**3
Let p(g) be the third derivative of 3*g**6/50 + 7*g**5/20 - 3*g**4/40 + 5*g**2 - 584*g. Factor p(u).
3*u*(u + 3)*(12*u - 1)/5
Let q(i) be the third derivative of 0 + 11*i**2 - 3*i - 5/12*i**5 + 1/42*i**7 + 7/24*i**6 + 0*i**3 - 125/8*i**4. Factor q(z).
5*z*(z - 3)*(z + 5)**2
Let b(x) = 23362*x + 186898. Let g be b(-8). Suppose 1/2*n**g - 1/4*n**4 + 3/4*n**3 + 2 - 3*n = 0. What is n?
-2, 1, 2
Let h(l) be the third derivative of -119/180*l**5 + 0*l + 19/36*l**4 + 26 + 2*l**2 + 49/144*l**6 - 2/9*l**3. Factor h(k).
(5*k - 2)*(7*k - 2)**2/6
Let j(l) = 2*l**2 - 23*l + 65. Let a be j(7). Let n be (-1)/(-3) - 10/(-6). Factor -3*h**3 + 2*h**3 + 3*h**2 - n*h - h**a + h.
-h*(h - 1)**2
Let l be 13/(39/2)*(5 - 11). Let y be 3 - 4 - (-8 - 21/l). Factor 1 + y*p**4 - 6*p - 15/2*p**3 + 43/4*p**2.
(p - 2)*(p - 1)**2*(7*p - 2)/4
Let t(y) = 17*y**2 + 2920*y + 2975. Let g(d) = 5*d**2 + 835*d + 850. Let z(r) = 18*g(r) - 5*t(r). Find l such that z(l) = 0.
-85, -1
Let t be (9 - 10 - -8*1/1) + -7. Let q(v) be the first derivative of 1/4*v**4 + 7 - 2/9*v**3 + 0*v + t*v**2. Factor q(h).
h**2*(3*h - 2)/3
Let g(h) be the third derivative of -h**8/784 + h**7/245 + 9*h**6/56 + 71*h**5/70 + 43*h**4/14 + 36*h**3/7 + 483*h**2 + 1. Find s, given that g(s) = 0.
-2, -1, 9
Let o be (-27 - -12) + 15 - (-75)/2. Factor 5/2*u**3 + o*u + 45/2 + 35/2*u**2.
5*(u + 1)*(u + 3)**2/2
Let t(r) be the first derivative of r**4/18 - 20*r**3/27 + 28*r**2/9 - 16*r/3 + 1429. Factor t(y).
2*(y - 6)*(y - 2)**2/9
Suppose 11*d - 3 = 10*d. Let f be 0 + 0 + 4 + -2. Find k such that 2*k**d + 2*k + 2*k**f - 6*k**2 + 8*k**2 + 0*k = 0.
-1, 0
Let v(c) = c**2 + 11*c + 7. Let n be v(-10). Let w be (-6)/((-72)/(-15))*n/5. Find r such that 0 + 15/4*r**2 - w*r**4 + 3/4*r**3 + 9/4*r = 0.
-1, 0, 3
Let y be (-2309)/43871 - (-21)/38. Factor -12*p - 72 - y*p**2.
-(p + 12)**2/2
Factor 63/2*k - 15 - 3*k**2.
-3*(k - 10)*(2*k - 1)/2
Let c be (-491460)/(-145800) + (-1)/6. Let p = c - 1/243. Factor p*k**2 - 28/5*k - 8/5.
4*(k - 2)*(4*k + 1)/5
Let u = 6062608/11 - 551146. Find b such that 72/11 + 32/11*b - u*b**2 = 0.
-2, 18
Let b be 1/1 + (195/(-13) - -18). Let u(d) be the first derivative of -4 - d**2 - 2/3*d**3 + 2*d + 1/2*d**b. Suppose u(r) = 0. What is r?
-1, 1
Factor 1/6*d**3 - 25*d + 25/6*d**2 + 0.
d*(d - 5)*(d + 30)/6
Let v(z) = 105*z**3 - 135*z**2 - 477*z - 393. Let o(y) = -42*y**3 + 54*y**2 + 191*y + 160. Let d(t) = 12*o(t) + 5*v(t). Factor d(c).
3*(c - 3)*(c + 1)*(7*c + 5)
Let p(o) be the third derivative of o**5/300 + 19*o**4/40 + 51*o**3/5 + 1736*o**2. Factor p(l).
(l + 6)*(l + 51)/5
Let g(m) be the first derivative of m**4/28 + 2*m**3/21 - 3*m**2/14 - 285. Determine y so that g(y) = 0.
-3, 0, 1
Let j(m) be the first derivative of m**4 - 16*m**3 + 96*m**2 - 256*m + 292. Find p, given that j(p) = 0.
4
Let y(l) be the third derivative of -l**7/315 - 4*l**6/15 - 368*l**5/45 - 320*l**4/3 - 6400*l**3/9 + l**2 + 189*l. Factor y(p).
-2*(p + 4)**2*(p + 20)**2/3
Determine y, given that -42006*y + 4*y**3 - 2092 - 2212*y**2 + 37826*y + 128*y**2 = 0.
-1, 523
Let f(t) be the second derivative of t**5/12 + 10*t**4/3 - 24*t**2 + 146*t. Let o(p) be the first derivative of f(p). Factor o(s).
5*s*(s + 16)
Let a be (-3)/(90/32)*(1480/48)/(-37). Solve 4/9*l**3 + 0*l + a*l**2 - 2/9 - 2/3*l**4 - 4/9*l**5 = 0 for l.
-1, 1/2, 1
Let k(l) be the third derivative of -91*l**2 + 0*l**5 + 25/8*l**4 + 0*l**3 + 0 - 1/40*l**6 + 0*l. Factor k(w).
-3*w*(w - 5)*(w + 5)
Factor -5/3*q**2 - 8075/3 + 560/3*q.
-5*(q - 95)*(q - 17)/3
Let y(u) be the first derivative of -8/3*u**3 + 24 + 0*u + 1/90*u**6 - 1/6*u**5 + u**4 + 0*u**2. Let l(v) be the third derivative of y(v). Factor l(w).
4*(w - 3)*(w - 2)
Let i(n) = n**3 - 16*n**2 + 7*n - 25. Let l be i(17). Let d = 385 - l. Find f such that 0 + 1/4*f**3 + 0*f + f**d = 0.
-4, 0
Factor 78/5 - 157/5*x + 16*x**2 - 1/5*x**3.
-(x - 78)*(x - 1)**2/5
Let i(p) be the second derivative of 7*p**7/39 + 1316*p**6/195 - 321*p**5/26 - 490*p**4/39 + 1556*p**3/39 - 336*p**2/13 - p - 2003. Find l such that i(l) = 0.
-28, -1, 2/7, 6/7, 1
Let x(a) be the second derivative of 5/24*a**4 + 0 - 1/40*