d derivative of 0 + 27*g**2 + 0*g + 1/270*g**5 - 2/27*g**4 + 16/27*g**3. Factor l(s).
2*(s - 4)**2/9
Let l(t) be the first derivative of -5*t**4/24 + 35*t**3/12 - 25*t**2/2 + 48*t + 77. Let u(q) be the first derivative of l(q). Factor u(c).
-5*(c - 5)*(c - 2)/2
Let v = 595166 - 4761327/8. Find d such that 11/4*d + 21/8*d**2 - v*d**3 + 0 = 0.
-1, 0, 22
Let d(a) = -3*a**2 - 6*a + 180. Let g(k) = k - 10. Let x(i) = -d(i) + 3*g(i). Solve x(f) = 0.
-10, 7
Let x(n) = -2*n**4 - 2*n**3 - 7*n - 1. Let j(p) = 46*p**4 + 364*p**3 - 1968*p**2 + 4122*p - 2634. Let z(o) = -2*j(o) - 44*x(o). Factor z(y).
-4*(y - 2)**3*(y + 166)
Suppose 9*q = 11*q + 3*x - 17, 2*x + 42 = 4*q. Suppose -9*m**2 + q*m + 18*m**2 - 111*m - 7*m**3 + 49*m**2 + 24 + m = 0. What is m?
2/7, 2, 6
Let l be 2201 + (1 - -2)/(1 + 2). Factor 110 + l - 506*i + 642*i + 2*i**2.
2*(i + 34)**2
Let b be (8 + -6)*-1*(-63)/910. Let h(v) be the second derivative of 7/195*v**6 - 1/3*v**3 - v - 1/273*v**7 - b*v**5 + 11/39*v**4 + 0 + 3/13*v**2. Factor h(x).
-2*(x - 3)*(x - 1)**4/13
Let w(k) be the second derivative of -k**7/10080 - k**6/480 - k**5/60 + 13*k**4/12 - 32*k + 2. Let s(x) be the third derivative of w(x). Factor s(z).
-(z + 2)*(z + 4)/4
Let i(w) be the first derivative of -74 + 0*w**2 - 2/45*w**3 + 0*w. Factor i(t).
-2*t**2/15
Let p(c) = c**2 + 6*c - 97. Let t be p(-24). Let a = t - 332. Factor -5/2*r - 15/4*r**2 + 0 + 5/2*r**a.
5*r*(r - 2)*(2*r + 1)/4
Let n(w) be the third derivative of 2*w**7/735 - w**6/15 + 11*w**5/21 - w**4 - 1241*w**2. Factor n(i).
4*i*(i - 7)*(i - 6)*(i - 1)/7
Let o(x) = 4907*x + 14724. Let a be o(-3). Find n such that 2/5*n**a - 10*n + 6/5*n**2 + 42/5 = 0.
-7, 1, 3
Let c = -544 + 1036. Let y = c + -3436/7. Find v, given that -2/7*v**2 - 8/7 + y*v = 0.
2
Let m = 820 - 806. Factor -14 + 13*q + 10 + m*q**2 - 13*q**2 - 10.
(q - 1)*(q + 14)
Let m(j) be the second derivative of j**3 + 2 + 1/84*j**4 - 29*j + 63/2*j**2. What is i in m(i) = 0?
-21
Let j(l) be the third derivative of l**5/15 + 6*l**4 - 152*l**3/3 - 1299*l**2. Determine m, given that j(m) = 0.
-38, 2
Let j be -2 + (-169)/(-52) + (-21)/4. Let m be (-4)/(-12)*(6 + j/2). Let -14/3*q + m - 10/3*q**3 + 2/3*q**4 + 6*q**2 = 0. Calculate q.
1, 2
Let c be (-8 - -22 - 3) + 214. Let h be ((-12)/c)/((-10)/700*7). Determine v so that 0 + h*v**4 + 2/15*v**5 + 0*v + 4/15*v**2 + 2/3*v**3 = 0.
-2, -1, 0
Suppose 92 = -51*y - 39*y + 362. Let a(j) be the second derivative of 0*j**2 + 1/105*j**6 - 1/35*j**5 + 0*j**y + 0 + 1/42*j**4 + 7*j. Solve a(t) = 0.
0, 1
Let b(x) be the first derivative of x**8/13440 - x**7/6720 - x**6/720 + x**5/240 - 14*x**3 - 2*x + 237. Let v(s) be the third derivative of b(s). Factor v(r).
r*(r - 2)*(r - 1)*(r + 2)/8
Factor -463760/3*f**2 + 0 - 4/3*f**4 + 2722/3*f**3 + 231200/3*f.
-2*f*(f - 340)**2*(2*f - 1)/3
Let z be (60/(-35))/((-51)/833). Let n(q) be the second derivative of 1/6*q**4 + 0 - 5/9*q**3 + 2/3*q**2 + z*q. Find c such that n(c) = 0.
2/3, 1
Solve -3/8*o**4 + 96*o - 255/8 - 387/4*o**2 + 33*o**3 = 0.
1, 85
Let x = 128/73 - 1061/730. Let p(n) be the third derivative of -5/8*n**6 + 0*n - 9/70*n**7 + 0 + x*n**5 + 9/2*n**4 - 4*n**3 - 2*n**2. Find q such that p(q) = 0.
-2, 2/9, 1
Let b(g) be the first derivative of 0*g + 4/3*g**3 - 124 - 1/46*g**4 - 23*g**2. Factor b(k).
-2*k*(k - 23)**2/23
Let g = -26039/12 + 2170. Let b(q) be the third derivative of 1/24*q**6 - 5/2*q**3 - 25/24*q**4 - g*q**5 + 0 + 0*q + 4*q**2. Solve b(z) = 0.
-1, 3
Let n(h) be the third derivative of 1/672*h**8 - 122*h**2 + 11/60*h**5 + 0*h**3 - 11/210*h**7 + 0 - 7/16*h**4 + 0*h + 1/12*h**6. Let n(s) = 0. What is s?
-1, 0, 1, 21
Suppose -224000*k + 1167257 - 1295*k**4 - 328800*k**2 - 1007257 - 1380*k**4 + 45*k**5 + 52480*k**3 = 0. What is k?
-1, 4/9, 20
Let j(p) = 2*p**5 - p**4 + p**3 + p**2 + 2*p - 1. Let d(f) = 26*f**5 - 4*f**4 + 14*f**3 - 66*f**2 + 188*f - 110. Let x(u) = -2*d(u) + 28*j(u). Factor x(l).
4*(l - 2)**4*(l + 3)
Let h(d) be the second derivative of d**5/40 - 7*d**4/8 - 75*d**3/4 - 203*d**2/4 - 6*d + 111. Factor h(g).
(g - 29)*(g + 1)*(g + 7)/2
Factor 115*t + t**2 - 144*t - 630 + 258*t + 1642 + 279*t.
(t + 2)*(t + 506)
Let h(v) be the second derivative of v**7/357 - 274*v**6/255 + 19041*v**5/170 - 1096*v**4/3 + 1088*v**3/3 + 2237*v. Let h(w) = 0. Calculate w.
0, 1, 136
Let y(b) = -6362*b + 178138. Let s be y(28). Factor 0 - 2*r**3 + 2/5*r**5 + 0*r + 0*r**s + 8/5*r**4.
2*r**3*(r - 1)*(r + 5)/5
Let n(b) be the second derivative of 0*b**2 + 6 + 8/9*b**3 + 13/18*b**4 + 6*b + 1/20*b**5. Factor n(m).
m*(m + 8)*(3*m + 2)/3
Let u be (-16)/(-120) + 3020*48/6300. Let i = -16 - -18. Determine s so that 2/7*s**i + u - 36/7*s = 0.
9
Let f = 281 + -279. Factor -6904*c**f + 237*c**4 + 1912*c**3 + 4*c**5 - 44*c**4 + 591*c + 467 - 5*c**4 + 6709*c - 2967.
4*(c - 1)**3*(c + 25)**2
Let x = 29597 - 473551/16. Let g(t) be the first derivative of -1/12*t**3 - 33 - 1/4*t**2 + 0*t + x*t**4. Factor g(f).
f*(f - 2)*(f + 1)/4
Let u be (-14001390)/(-166725) + (-2)/(-95). Find g such that 120 - u*g + 39/2*g**2 - 3/2*g**3 = 0.
4, 5
Solve 11/6*z + 0 - 1/6*z**2 = 0.
0, 11
Find m such that -4*m**2 + 0 + 1/12*m**3 - 49/12*m = 0.
-1, 0, 49
Let b(q) be the second derivative of q**5/50 + 5*q**4/3 - 55*q**3/3 + 4132*q. Suppose b(i) = 0. What is i?
-55, 0, 5
Solve 2030*l**2 + 4*l**4 - 4*l**3 - 2 - 30 - 16 - 2056*l**2 + 76*l - 2*l**4 = 0 for l.
-4, 1, 2, 3
Let t(p) be the second derivative of 0 + 17/60*p**4 + 0*p**2 + 1/50*p**6 - 1/5*p**3 - 7/50*p**5 - 44*p. Determine f, given that t(f) = 0.
0, 2/3, 1, 3
Let x(a) = -3*a**2 + 253*a + 2118. Let d be x(92). Let m(s) be the first derivative of 5/2*s**4 + 2/5*s**5 - 16*s + 34 - 4*s**d + 4*s**3. Factor m(c).
2*(c - 1)*(c + 2)**3
Let z(f) = -f**2 + 53*f + 446. Let w(a) = 6*a - 2. Let c(b) = 6*w(b) - 3*z(b). Factor c(l).
3*(l - 50)*(l + 9)
Let c(y) be the third derivative of y**5/15 - 910*y**4/3 - 1214*y**3 + 3*y**2 + 176*y - 1. Find m such that c(m) = 0.
-1, 1821
Solve 88/3*q + 6*q**2 + 280/9 - 4/9*q**3 = 0 for q.
-2, 35/2
Let q be ((10/(-26))/(-1))/((-6115)/(-46474)). Factor -2/13*l**2 - q + 40/13*l.
-2*(l - 19)*(l - 1)/13
Let y(a) be the third derivative of 3*a**6/10 - 28*a**5/15 - 11*a**4/2 + 8*a**3/3 + 277*a**2 - 7*a. Factor y(r).
4*(r - 4)*(r + 1)*(9*r - 1)
Let l(k) be the second derivative of 0*k**2 + 10*k - 5/12*k**4 + 147/40*k**6 - 77/40*k**5 + 1/3*k**3 + 4. Find m such that l(m) = 0.
-2/9, 0, 2/7
Let l = -30 + 32. Suppose -4*i + 12*o - 10*o = -6, 5*o = i + 3. Factor -l + 4/3*b**i + 2/3*b.
2*(b - 1)*(2*b + 3)/3
Let b(u) be the first derivative of -49*u**4/18 + 1316*u**3/27 + 388*u**2/9 + 112*u/9 - 1162. Factor b(n).
-2*(n - 14)*(7*n + 2)**2/9
Let o(l) = -4*l**3 + 116*l**2 - 261*l - 3. Let g(p) = -8*p**3 + 224*p**2 - 521*p - 7. Let u(z) = -3*g(z) + 7*o(z). Factor u(r).
-4*r*(r - 33)*(r - 2)
Factor 0 + 1/5*o**3 + 99856/5*o - 632/5*o**2.
o*(o - 316)**2/5
Find j, given that -461232 + 54*j**2 - j**5 - 48*j**2 - 6*j**4 + 461304 + 29*j**3 - 100*j = 0.
-9, -2, 1, 2
Let w be 60/21 - 5/70*-2. Let h(u) be the second derivative of 5*u - 15/2*u**2 + 10/3*u**w + 0 - 5/12*u**4. Determine f, given that h(f) = 0.
1, 3
Let n(q) = q + 19. Let u be n(-6). Suppose -613 = -u*i - 132. Factor 35*h**2 - 3*h - 31*h**2 - i*h + 100.
4*(h - 5)**2
Let p(h) = 15*h**4 - 462*h**3 - 915*h**2 - 462*h + 12. Let f(t) = 2*t**4 - 2*t**3 - t**2 - t + 2. Let m(v) = -6*f(v) + p(v). Solve m(k) = 0 for k.
-1, 0, 152
Let u be (-2)/2 - (6/(-6) - 2). Solve 266*j - 22*j**4 + 21*j**3 + 335*j**u - 123*j**2 + 98 + 38*j**5 - 36*j**5 - j**3 = 0.
-1, 7
Suppose 72 - 214/3*n - 2/3*n**2 = 0. Calculate n.
-108, 1
Let i = 8900 - 8896. Let y(d) be the first derivative of 2/5*d**5 + 0*d + 1 + 0*d**2 - d**i + 2/3*d**3. What is x in y(x) = 0?
0, 1
Let -1426*s**2 + 28*s**5 + 1266 - 2409*s**2 + 2832*s**3 + 1024*s - 517*s**2 - 512*s**4 - 1266 = 0. What is s?
0, 2/7, 2, 8
Let l = 1564 + -1562. Let v(m) be the third derivative of 0*m - 3/2*m**4 + 4/3*m**3 + 0 - 1/6*m**6 + 4/5*m**5 - 33*m**l. Find g such that v(g) = 0.
2/5, 1
Let c be (-2 + 18/4)/(39/19188). Let z be (7/5 - 1) + (-82)/c. What is k in -z + 4/3*k**3 - 4/3*k - k**2 + 4/3*k**4 = 0?
-1, -1/2, 1
Let w(r) be the third derivative of -r**8/5040 + r**6/1080 + 4*r**3 + 29*r**2. Let k(q) be the first derivative of w(q)