(n) = -3*n**2 - 1157*n + 165893. Let v(w) = 2*c(w) - 5*l(w). Factor v(k).
-(k - 288)**2
Let t(s) be the first derivative of s**6/1440 - s**5/80 + s**4/12 - 14*s**3/3 - 11. Let y(q) be the third derivative of t(q). Find h such that y(h) = 0.
2, 4
Let n(u) be the first derivative of -u**5 - 10*u**4 + 50*u**3 - 80*u**2 + 55*u + 331. Factor n(i).
-5*(i - 1)**3*(i + 11)
Let r(h) be the second derivative of -h**5/50 + h**4/3 + 11*h**3/15 + 91*h - 2. Solve r(x) = 0 for x.
-1, 0, 11
Let s be (-2)/((-3)/(189/6)). Suppose -6*t - s = -93. Factor 7*m + 35*m**3 - 10*m**2 + 10 - 30*m - t*m.
5*(m - 1)*(m + 1)*(7*m - 2)
Let x(g) = 2*g**4 + 3*g**3 + 9*g**2 + 2*g. Let m(l) = -3*l**4 - 6*l**3 - 18*l**2 - 5*l. Let k(d) = -3*m(d) - 5*x(d). What is a in k(a) = 0?
-1, 0, 5
Let l(f) = 17*f**3 + 409*f**2 - 306*f - 116. Let x(a) = -33*a**3 - 819*a**2 + 612*a + 231. Let u(i) = -9*l(i) - 4*x(i). Factor u(n).
-3*(n - 1)*(n + 20)*(7*n + 2)
Let f(t) be the first derivative of -2*t**6/15 - 18*t**5/5 - 27*t**4 + 36*t - 37. Let l(m) be the first derivative of f(m). Determine n so that l(n) = 0.
-9, 0
Let l be 2/7 - (-39)/182. Let f(s) = 2*s**3 + 44*s**2 + 36*s - 123. Let n be f(-21). Find d, given that l*d**n + 0 + d - 3/2*d**2 = 0.
0, 1, 2
Let k(r) be the first derivative of -5/3*r**4 - 16/3*r**3 - 1/5*r**5 + 7 - 8*r - 8*r**2. Let h(m) be the first derivative of k(m). Solve h(t) = 0.
-2, -1
Let p(y) = 5*y**2 - y + 10. Let r(b) = -b**2 - b - 1. Let h = -33 + 37. Let d(a) = h*r(a) + p(a). Factor d(x).
(x - 3)*(x - 2)
Let t(f) be the third derivative of -f**8/8960 - f**7/1680 - f**6/960 - f**4/24 + 3*f**2. Let k(y) be the second derivative of t(y). Let k(o) = 0. Calculate o.
-1, 0
Let o(z) = -6*z**3 - 28*z**2 - 22*z - 6. Let c(h) be the first derivative of -h**4/4 + h**3/3 + h - 12. Let a(q) = -2*c(q) - o(q). Factor a(u).
2*(u + 1)*(u + 2)*(4*u + 1)
Let b(r) be the first derivative of 16/55*r**5 - 2/11*r + 2 - 5/11*r**2 + 4/33*r**6 + 1/22*r**4 - 14/33*r**3. Solve b(v) = 0.
-1, -1/2, 1
Let a = 89 - 87. Let j be 8/21*((-117)/(-26) - 1). Suppose -j*n - 2/3*n**a - 2/3 = 0. What is n?
-1
Let p be ((-8)/20)/((-267)/2225). Factor 6*t - 4/3*t**2 + p.
-2*(t - 5)*(2*t + 1)/3
Let t(h) be the first derivative of h**5/40 + h**4/12 - h**3/12 - h**2/2 + 5*h + 4. Let y(r) be the first derivative of t(r). What is i in y(i) = 0?
-2, -1, 1
Suppose 4*j - 221 = -213. Factor -1/2*g**j + 2/3 + 2/3*g - 2/3*g**3 - 1/6*g**4.
-(g - 1)*(g + 1)*(g + 2)**2/6
Let d be (-67)/670*(1 + 0)*-36. Factor -2/5*o**2 + 12/5*o - d.
-2*(o - 3)**2/5
Let j(m) = -7*m**2 - 160*m + 34. Let i(q) = 13*q**2 + 320*q - 67. Let n(b) = -2*i(b) - 5*j(b). Suppose n(g) = 0. What is g?
-18, 2/9
Let s(l) be the first derivative of -l**3/21 - 3*l**2/2 - 127. Solve s(g) = 0 for g.
-21, 0
Suppose 2 = 2*p + 12. Let w(o) = -o**2 - 1. Suppose 10*a - 21 = -11*a. Let c(s) = -4*s**2 - 4*s - 2. Let r(q) = a*c(q) + p*w(q). What is i in r(i) = 0?
1, 3
Solve 333/4*q**3 + q + 729/4*q**5 + 15*q**2 + 405/2*q**4 + 0 = 0 for q.
-1/3, -2/9, 0
Let l = 6 - -55. Suppose 0 = 69*d - l*d. Find c, given that -2/9*c**4 + 4/9*c**3 + 2/9 + d*c**2 - 4/9*c = 0.
-1, 1
Let v(g) = -2*g**3 + 118*g**2 - 136*g - 5. Let f(m) = 4*m**3 - 296*m**2 + 340*m + 12. Let k(l) = 5*f(l) + 12*v(l). Factor k(d).
-4*d*(d - 1)*(d + 17)
Let g be ((-15)/(-1))/(-3) + (-166)/(-1). Let q = -158 + g. Suppose -5/4*u**4 + 25/4*u**5 - 4*u**q + 0 - u**2 + 0*u = 0. What is u?
-2/5, 0, 1
Factor -9*d**3 - 93/2*d**2 - 1/2*d**4 - 40*d + 96.
-(d - 1)*(d + 3)*(d + 8)**2/2
Let u(f) be the second derivative of -f**7/14 + 51*f**6/10 - 147*f**5/20 - 51*f**4/4 + 25*f**3 + f + 128. Find l such that u(l) = 0.
-1, 0, 1, 50
Let s(w) be the first derivative of w**4/2 + 32*w**3/3 - 176*w**2 + 768*w + 207. What is i in s(i) = 0?
-24, 4
Let v(f) = -12*f**3 - 33*f**2 - 6*f. Let h = -3 - -2. Let l(a) = -6*a**2 + 7*a**2 + 0*a**2. Let c(z) = h*v(z) - 6*l(z). Factor c(w).
3*w*(w + 2)*(4*w + 1)
Find c, given that -100*c + 44*c**3 + 24 - 62*c**3 + 34*c**3 + 12*c**2 = 0.
-3, 1/4, 2
Let z(l) be the third derivative of -14*l**2 + 4/3*l**3 + 0 + 1/4*l**4 - 1/30*l**5 + 0*l. Factor z(k).
-2*(k - 4)*(k + 1)
Let o(m) be the first derivative of m**4/2 + 8*m**3/3 - m**2 - 8*m + 333. Determine g so that o(g) = 0.
-4, -1, 1
Suppose 12*h - 7*h - 20 = 0. Let k be h*(-1)/1*(-1)/5. Factor 0 + k*s**2 + 0*s - 14/5*s**4 - 2*s**3.
-2*s**2*(s + 1)*(7*s - 2)/5
Let s(t) be the third derivative of 25/96*t**4 + 0*t + 17/480*t**6 + 1/420*t**7 + 17/120*t**5 + 1/4*t**3 - 24*t**2 + 0. Factor s(k).
(k + 1)**2*(k + 6)*(2*k + 1)/4
Let x(y) be the third derivative of 2/9*y**4 - 1/90*y**5 + 0*y - 16/9*y**3 - 23*y**2 + 0. Factor x(a).
-2*(a - 4)**2/3
Let k = 60 + -36. Let v be ((-16)/k)/((-1)/3). Find x such that -10 - 5 + x + 17 - x**3 - v*x**2 = 0.
-2, -1, 1
Factor 169*q**3 - 93*q**2 + 12 - 20*q + 26*q - 136*q**3 + 42*q.
3*(q - 2)*(q - 1)*(11*q + 2)
Let 52*n**4 + 9*n - 3*n**2 - 5*n**3 - 22*n**4 - 31*n**4 = 0. What is n?
-3, 0, 1
Let d be (9/(-2) + 4)*(1 - 1). Let h(l) be the second derivative of d*l**3 + 0*l**2 + 1/30*l**6 + 0*l**5 - 1/12*l**4 - 8*l + 0. Factor h(k).
k**2*(k - 1)*(k + 1)
Let h(r) = 21*r**4 - 2043*r**3 + 64512*r**2 - 688101*r - 27. Let o(d) = -3*d**4 + 292*d**3 - 9216*d**2 + 98300*d + 4. Let y(q) = -4*h(q) - 27*o(q). Factor y(b).
-3*b*(b - 32)**3
Suppose 6386*l + 90 = 6416*l. Factor -4*h - l - 7/4*h**2 - 1/4*h**3.
-(h + 2)**2*(h + 3)/4
Let m = 2132 - 2127. Let j(a) be the third derivative of -1/630*a**7 + 0 - 1/18*a**4 + 4/9*a**3 + 0*a + 11*a**2 + 1/72*a**6 - 1/30*a**m. Factor j(o).
-(o - 2)**3*(o + 1)/3
Let k(j) = 33*j**3 - j + 31*j**3 - 63*j**3. Let w(q) = -3*q**3 - 3*q**2 + 6*q. Let d(z) = 6*k(z) + w(z). Factor d(f).
3*f**2*(f - 1)
Let y be (-588)/48 - -12 - (-5)/8. Let q(w) be the first derivative of -y*w**4 - 1/10*w**5 - 1/2*w**3 + 0*w + 1 - 1/4*w**2. Solve q(t) = 0.
-1, 0
Let h be (11 - 580/60)/((-28)/(-6)). Determine d, given that -12/7*d - 8/7 + d**3 - 1/7*d**5 + 0*d**4 + h*d**2 = 0.
-2, -1, 2
Let x(r) be the second derivative of -r**7/105 + r**6/5 + 93*r - 2. Let x(f) = 0. Calculate f.
0, 15
Let z(t) = -174*t**2 - 20*t + 230*t**2 + 44*t**3 - 34 - 14. Let b(i) = 15*i**3 + 19*i**2 - 7*i - 16. Let g(d) = -16*b(d) + 5*z(d). Determine m so that g(m) = 0.
-1, 4/5
Let v(y) be the third derivative of -26*y**2 - 2/7*y**3 + 0*y**4 + 0 + 0*y + 1/140*y**5. Factor v(i).
3*(i - 2)*(i + 2)/7
Let c be (-176)/572 + 583/(-91) - -7. Suppose 16/7*q**2 + 8/7*q + 0 + 10/7*q**3 + c*q**4 = 0. Calculate q.
-2, -1, 0
Let l(u) = -u**2 - 4. Let w(q) = -3*q**2 - 6*q - 7. Let x(m) = 4*l(m) - w(m). Solve x(a) = 0 for a.
3
Let q(o) be the third derivative of o**8/84 + 34*o**7/35 + 481*o**6/15 + 7774*o**5/15 + 6591*o**4/2 - 57122*o**3/3 + o**2 - 62. Factor q(c).
4*(c - 1)*(c + 13)**4
Let p(c) = c**2 + 10*c + 3. Let n be p(-10). Suppose -2*k + n = 2*r - 3*r, 3*k - 3*r = 0. Let 0 + 32/7*x**2 - 20/7*x**k + 4/7*x**4 - 16/7*x = 0. Calculate x.
0, 1, 2
Let i be (55/(-33))/((-1)/3). Suppose -70*a + 70*a - i*a**4 + 5*a**3 = 0. Calculate a.
0, 1
Let v(b) = -2*b**3 + 64*b**2 - 59*b - 93. Let g be v(31). Factor 4/11*q**2 - 2/11*q**4 + 0 + g*q - 2/11*q**3.
-2*q**2*(q - 1)*(q + 2)/11
Solve -4/3*j + 2/15*j**2 + 0 = 0.
0, 10
Let y(o) be the first derivative of 1/8*o**3 - 9/16*o**2 - 9 + 0*o. Solve y(f) = 0.
0, 3
Let p(s) be the third derivative of s**7/1365 - 11*s**6/780 + 19*s**5/390 - 3*s**4/52 - 237*s**2 - s. Factor p(r).
2*r*(r - 9)*(r - 1)**2/13
Let y(c) = c**3 - 15*c**2 - 17*c + 20. Let k be y(16). Let p(n) be the second derivative of 1/2*n**2 + 0 - 1/20*n**5 - 6*n - 1/12*n**k + 1/6*n**3. Factor p(u).
-(u - 1)*(u + 1)**2
Let z(u) be the first derivative of 9*u**5/5 - 3*u**4/4 - 17*u**3 + 3*u**2/2 + 42*u + 875. Find b, given that z(b) = 0.
-2, -1, 1, 7/3
Factor -428*k + 376*k - 221*k**3 - 54*k**2 + 219*k**3.
-2*k*(k + 1)*(k + 26)
Let b(r) be the third derivative of 0*r**3 + 0*r**4 + 1/168*r**8 - 1/30*r**6 + 0*r + 0*r**5 - 9*r**2 + 1/105*r**7 + 0. Factor b(d).
2*d**3*(d - 1)*(d + 2)
Suppose 0 = -276*d + 364*d. Factor d - 5/3*x + 1/3*x**2.
x*(x - 5)/3
Let b be ((-429)/26)/(1/(-3))*-2. Let g = b - -101. Let 0 + 1/3*d**g + d = 0. What is d?
-3, 0
Let m = 12041/5 + -2405. Find x, given that 16/5*x**2 + m + 68/5*x = 0.
-4, -1/4
Let m(g) = -g**3 - 6*g**2 + 7*g + 4. Let j be m(-