first derivative of -5*c**4/24 - 10*c**3 - 180*c**2 - 65*c - 19. Let f(l) be the first derivative of r(l). Factor f(y).
-5*(y + 12)**2/2
Factor -55/6*c**3 + 43*c + 151/6*c**2 + 1/6*c**5 - 17/2*c**4 + 52/3.
(c - 52)*(c - 2)*(c + 1)**3/6
Suppose -5*i = 7*r - 3*r - 84, -4*i + 4*r + 96 = 0. Factor 16*q**2 - 41*q**2 + i*q**2 - 185*q.
-5*q*(q + 37)
Solve -6164/3*k - 2/3*k**2 - 4749362/3 = 0.
-1541
Suppose -2*n + 180 = 172. Let h be -9*(-16)/144 - 1/n. Factor 0 + 0*d + h*d**4 + 3/4*d**2 - 3/2*d**3.
3*d**2*(d - 1)**2/4
Suppose -4*d = -3*t - 8*d - 20, -4*d = 4*t + 20. Suppose 0*k - 2*k + 9*k = t. Factor -4/7*v**4 + 4/7*v**2 + 0*v + k*v**3 + 0.
-4*v**2*(v - 1)*(v + 1)/7
What is l in -81675/4 - 3/4*l**4 + 41085*l + 249*l**3 - 41829/2*l**2 = 0?
1, 165
Let x = -860 - -862. Suppose 5*d - k - 9 = 0, 20*d = 16*d + x*k + 6. Let -1/3*y**d - 2/3*y + 0 = 0. Calculate y.
-2, 0
Suppose 3*b - 117*m + 4745 = -122*m, -3*m - 3 = 0. Let c = 1582 + b. Factor -64/7 - 32/7*j - 4/7*j**c.
-4*(j + 4)**2/7
Factor 905*d**4 - 2685*d**3 - 651*d - 3*d**5 - 239*d - 2*d**5 + 2675*d**2.
-5*d*(d - 178)*(d - 1)**3
Let j(o) = o**4 + 26*o**3 - 8*o**2 - 5*o - 7. Let z(k) = -17 - k + 16 - k**2 + 2*k + 2*k**3. Let v(q) = 3*j(q) - 21*z(q). Factor v(s).
3*s*(s - 1)*(s + 1)*(s + 12)
Suppose 39*p - 44*p + 10 = 0. Factor 6*o**4 - 7*o**3 + p*o**5 + 28*o**2 - 26*o**2 + 0*o**4 + 13*o**3.
2*o**2*(o + 1)**3
Let -103386276*z**3 - 10517852/15*z**2 - 343453446/5*z**4 - 57177414/5*z**5 - 7942/5*z - 6/5 = 0. Calculate z.
-3, -1/441
Let n be 256/(7 + 25) + 7/1. Let b(x) be the first derivative of -6*x**5 + n + 0*x + 35/4*x**4 + 0*x**2 - 10/3*x**3. Suppose b(h) = 0. What is h?
0, 1/2, 2/3
Let w(p) = 2*p**3 - 183*p**2 + 120*p - 2637. Let s be w(91). Find d such that 14/3*d**4 - 6*d**3 - 10/3*d**s + 6*d - 4/3 = 0.
-1, 2/7, 1
Let u = -28 + 30. Suppose 3*x + 165 = u*i, 31 = -i - 4*x + 141. Find q, given that -10*q**4 - 90*q**4 + 10 - 23*q + 21*q**3 + i*q**2 + 44*q**3 - 42*q = 0.
-1, 1/4, 2/5, 1
Suppose 8*l = 6*l - 2*s - 4, -3*s - 27 = -4*l. Let v be 2 - l - 105/(-35). Factor v*d**3 + 8/5*d + 24/5*d**2 + 0.
2*d*(d + 2)*(5*d + 2)/5
Let c(l) be the first derivative of -8*l**6/27 + 16*l**5/15 + 31*l**4/9 - 176*l**3/27 - 40*l**2/3 - 64*l/9 + 1034. Let c(t) = 0. Calculate t.
-2, -1/2, 2, 4
Let c(b) be the first derivative of b**3/2 - 39*b**2 + 1014*b - 939. Let c(y) = 0. Calculate y.
26
Let z be -8*(-32)/512*0. Find b such that 5/2*b**3 - 4*b + z + 9*b**2 = 0.
-4, 0, 2/5
Let p(i) be the third derivative of -i**8/1008 - 2*i**7/315 - i**6/120 + 320*i**2. Let p(w) = 0. What is w?
-3, -1, 0
Let x(p) be the third derivative of 0 + 0*p + 184*p**2 + 3/8*p**4 - 1/60*p**5 + 11/3*p**3. Suppose x(s) = 0. What is s?
-2, 11
Let v(y) = 5 - 2*y + 1 + 5 - 4. Let u be v(-4). Factor -u*t**3 + 44 - 39 + 8*t**2 + 15*t - 13*t**2.
-5*(t - 1)*(t + 1)*(3*t + 1)
Suppose -3/2*v**3 + 1/4*v**4 + 0 + 0*v + 9/4*v**2 = 0. What is v?
0, 3
Let b = 21531 + -21531. Let v(x) be the third derivative of 1/10*x**6 + 0*x + 0*x**3 + 1/6*x**4 + 1/5*x**5 + b + 2/105*x**7 - 9*x**2. Factor v(p).
4*p*(p + 1)**3
Let l be ((-102)/8 - (-157 + 144)) + (-1)/12. Find q such that -17/3*q - 7/3*q**3 - 6*q**2 - l*q**4 - 11/6 = 0.
-11, -1
Let u(j) = -j**3 + j**2 + 5*j + 30. Let n be u(5). Let l be -2*(6/n)/(-13 + 15). Factor -l*t + 0 - 2/15*t**2.
-2*t*(t + 1)/15
Let p(s) = -5*s**2 + 68*s - 1091. Let v(t) = -3274 + 103*t - 25*t - 20*t**2 + 3*t**2 + 127*t. Let i(r) = 21*p(r) - 6*v(r). Let i(o) = 0. Calculate o.
33
Let z = -3/204314 + 1332740243/1430198. Let d = z - 931. Factor -d*h**3 + 6/7*h + 0 + 16/7*h**2.
-2*h*(h - 3)*(3*h + 1)/7
Let g(w) be the second derivative of -7/3*w**6 - 2 - 125/6*w**4 + 51/4*w**5 + 5/42*w**7 - 110/3*w**3 + w + 180*w**2. Factor g(h).
5*(h - 9)*(h - 2)**3*(h + 1)
Let l(m) be the third derivative of -m**5/90 - 7*m**4/18 - 8*m**3/3 - 23*m**2 + 7. Determine g so that l(g) = 0.
-12, -2
Let m(h) be the first derivative of -h**4/24 + 188*h**3/9 - 167. Solve m(l) = 0.
0, 376
Factor -78/7*t - 110/7 + 30/7*t**2 - 2/7*t**3.
-2*(t - 11)*(t - 5)*(t + 1)/7
Let y(w) be the first derivative of w**4/30 - 8*w**3/5 - 71*w - 71. Let k(p) be the first derivative of y(p). Factor k(j).
2*j*(j - 24)/5
Let x(m) be the first derivative of m**5/50 + 2*m**4/5 + 12*m**3/5 - 137*m + 71. Let g(k) be the first derivative of x(k). Let g(p) = 0. Calculate p.
-6, 0
Factor -48/13*h**2 - 18/13 - 12/13*h**3 - 4*h + 2/13*h**4.
2*(h - 9)*(h + 1)**3/13
Let b be -4 - ((-4)/86 - 18944/3182). Suppose -b*z - 9/4 + 1/4*z**2 = 0. What is z?
-1, 9
Let v be 7/(21/9) + 28. Determine k so that -9*k - 3 + v*k + 18*k + 63 + 5*k**2 = 0.
-6, -2
Let x(y) be the first derivative of y**3/3 - 7*y**2/2 + 8*y + 53. Let s(t) = 49 - 49 - 4*t**2 + 3*t**2. Let o(p) = 2*s(p) + x(p). Determine b so that o(b) = 0.
-8, 1
Let s(j) be the third derivative of -j**5/135 + 11*j**4/54 + 140*j**3/9 + 120*j**2. Let s(g) = 0. Calculate g.
-10, 21
Let n(i) be the second derivative of -i**5/15 - 22*i**4/9 - 80*i**3/9 - 2159*i. Find z, given that n(z) = 0.
-20, -2, 0
Let i(o) be the third derivative of -4/9*o**3 - 1/180*o**5 + 1/12*o**4 + 0*o + 11*o**2 - 1. Solve i(w) = 0 for w.
2, 4
Let r(j) be the third derivative of -1/735*j**7 + 0*j - 1/105*j**5 + 1/21*j**4 - 1 - 1/105*j**6 + 1/7*j**3 - 33*j**2. What is w in r(w) = 0?
-3, -1, 1
Let u(h) be the third derivative of h**5/12 + 70*h**4/3 + 2425*h**3/2 + 2*h**2 + h + 2271. Factor u(t).
5*(t + 15)*(t + 97)
Determine k, given that 124/9*k**2 + 14/9*k**3 - 56/9*k - 496/9 = 0.
-62/7, -2, 2
Suppose 5*p = -4*s - 84, 299*p - 293*p + 112 = -2*s. Suppose 6/7*l**3 - 18/7*l - 3/7*l**s + 0 + 15/7*l**2 = 0. Calculate l.
-2, 0, 1, 3
Let g be 14 + 18 + (-8804)/568. Let 0 + 127/4*b**3 + g*b**2 + 2*b - 9*b**4 = 0. What is b?
-1/4, -2/9, 0, 4
Suppose -3*t + 9 = 0, 2*u + 5*t - 19 = 6. Let k(m) be the second derivative of 0 + u*m + 1/6*m**4 - 2*m**2 - 1/3*m**3. Factor k(w).
2*(w - 2)*(w + 1)
Let w = 458 + -456. Let x(c) be the second derivative of 0*c**w + 2*c + 1/90*c**5 - 1/27*c**4 + 0 - 1/9*c**3. Factor x(f).
2*f*(f - 3)*(f + 1)/9
Let l(d) be the second derivative of d**4/28 + 153*d**3/7 + 70227*d**2/14 + 10*d - 42. Solve l(m) = 0 for m.
-153
Determine y, given that 23*y**3 - 2*y**2 - 64*y**3 - 52*y**3 - 91*y**4 = 0.
-1, -2/91, 0
Let t = 9052/5 - 9044/5. Let r(f) be the first derivative of 16/5*f - 4/15*f**3 - 1/5*f**4 - 42 + t*f**2. Determine x, given that r(x) = 0.
-2, -1, 2
Let d(o) = o**3 - 12*o**2 - 3*o + 38. Let y be d(12). Suppose 0 = -s + 5*g - 18, -6*s + 26 = -s + 4*g. Factor s - 2 + p**4 - 4*p + 2*p - 3*p**y.
p*(p - 2)*(p + 1)**2
Let i(y) = 2*y**3 - y**2 + 1. Let o(n) = -n**4 - 39*n**3 - 350*n**2 - 768*n - 2. Let b(t) = 10*i(t) + 5*o(t). Factor b(s).
-5*s*(s + 3)*(s + 16)**2
Let r(t) be the second derivative of t**7/70 - 4*t**6/45 + t**5/6 + 8*t**3 - 2*t - 52. Let h(a) be the second derivative of r(a). Factor h(q).
4*q*(q - 1)*(3*q - 5)
Let y(m) be the third derivative of m**5/150 + 149*m**4/10 - 5177*m**2. Factor y(w).
2*w*(w + 894)/5
Let m = 425 - 423. Factor 25*k**3 + 2*k**2 - 7*k**2 - 22*k**3 - 21*k**2 + m*k**2 + 36*k.
3*k*(k - 6)*(k - 2)
Let t(k) = 611*k - 3050. Let h be t(5). Suppose 0*l**2 + 0 - 2/13*l**h - 8/13*l**3 - 8/13*l**4 + 0*l = 0. Calculate l.
-2, 0
Let m = 114 - 123. Let r(s) = -25*s**2 + 10*s. Let j(f) = 50*f**2 - 20*f. Let a(v) = m*r(v) - 4*j(v). Factor a(w).
5*w*(5*w - 2)
Let n be (-5)/(-35)*8/3. Let o = 218444/21 - 10402. Suppose 16/21*f**2 - 6/7*f**4 - n*f**5 + o + 4/7*f - 4/21*f**3 = 0. What is f?
-1, -1/4, 1
Let c(t) = -3*t + 55. Let i be c(16). Suppose 9 = i*s - 4*s. Factor 2*y**4 + 4*y**4 - 105*y + 105*y - y**5 - 5*y**s.
-y**3*(y - 5)*(y - 1)
Let d(n) be the first derivative of n**4/3 + 4*n**3 - 14*n**2 + 82*n + 6. Let l(c) be the first derivative of d(c). Factor l(o).
4*(o - 1)*(o + 7)
Let p = -83 + 258. Factor -41*z + 172*z**3 - 36 - 27*z**2 - p*z**3 - 19*z.
-3*(z + 1)*(z + 2)*(z + 6)
Let h = -3 - -7. Suppose 6 = -7*x + 4*x, -h*p = 4*x - 4. Let 1344 + p*w**3 - 1332 - 9*w**2 + 0*w**3 = 0. Calculate w.
-1, 2
Let t(d) be the first derivative of 2*d**3/21 + 18*d**2 + 1440*d/7 + 6787. Factor t(v).
2*(v + 6)*(v + 120)/7
Let y = -24 + 33. Suppose -39 = -y*c + 15. Determine k, given that -2*k - 4*k**2 + 2*k**2 + 4*k**2 - 6 + c*k = 0.
-3, 1
Suppose -58*r + 55*r