 h(j) = -q(j) - 4*w(j). Factor h(x).
4*(x - 1)*(x + 1)*(7*x + 3)
Find l, given that -919*l + 1/2*l**2 - 1839/2 = 0.
-1, 1839
Factor 58795*y - 58795*y + 132*y**2 - 2*y**3.
-2*y**2*(y - 66)
Suppose 29*j**2 + 10*j + 8*j + j**4 - 31*j**3 - 8*j - 30 + 21*j = 0. Calculate j.
-1, 1, 30
Let l(o) be the first derivative of 5*o**3/6 + 65*o**2 - 270*o + 472. Factor l(d).
5*(d - 2)*(d + 54)/2
Let s be (4 - 902/231) + 61/21. Suppose -14*q + s*q + 44 = 0. Determine o so that -o**3 + 1 - 7/2*o - o**q + 1/2*o**5 + 4*o**2 = 0.
-2, 1
Let z(m) = 2*m**2 + 56*m + 232. Let a be z(-23). Let d(p) be the first derivative of 0*p**4 + 0*p + 17 - 3/2*p**2 + 6/5*p**5 + 1/2*p**6 - a*p**3. Factor d(k).
3*k*(k - 1)*(k + 1)**3
Let g(o) be the third derivative of -o**7/1260 + 23*o**6/180 - 473*o**5/72 + 1849*o**4/24 - 3*o**2 + 5*o + 134. Factor g(n).
-n*(n - 43)**2*(n - 6)/6
Suppose -3*x - 15 = -2*f, -8*x + 5*x + 6 = 5*f. Let i(p) be the second derivative of 0 - 1/60*p**5 - 7/18*p**f - 5/36*p**4 + 11*p - 1/2*p**2. Factor i(v).
-(v + 1)**2*(v + 3)/3
Let y(o) be the second derivative of 3*o**5/5 - 47*o**4/4 - 6*o**3 - 4090*o. Factor y(j).
3*j*(j - 12)*(4*j + 1)
Let i(o) be the second derivative of -o**7/210 - o**6/50 + 7*o**5/100 + o**4/4 - 3*o**3/5 - 384*o - 1. Find m such that i(m) = 0.
-3, 0, 1, 2
Let y(u) = u**3 - 14*u**2 - 55*u + 384. Let b be y(16). Let h(d) be the second derivative of 1/20*d**3 + 1/10*d**2 + 0*d**4 + 0 - b*d - 1/200*d**5. Factor h(x).
-(x - 2)*(x + 1)**2/10
Let c be -1 + (-1)/3*-9. Suppose -4*b - 2*i = b - 125, 4*i + 72 = 4*b. Factor 19*a**c + 16 - 20*a + b*a**2 - 38*a**2.
4*(a - 4)*(a - 1)
Let o(u) = -7*u**2 - 2*u - 35. Let n(s) = -5*s**2 - 3*s - 40. Let q(d) = 4*n(d) - 3*o(d). Let q(i) = 0. Calculate i.
-5, 11
Determine p so that 1152/7 - 18/7*p**4 + 1536/7*p + 12/7*p**3 + 1/7*p**5 + 584/7*p**2 = 0.
-2, 12
Let a = -32592 + 684433/21. Let g(n) be the first derivative of -a*n**3 + 3/14*n**2 - 44 - 2/7*n. Factor g(k).
-(k - 2)*(k - 1)/7
Let i(n) be the third derivative of n**7/1890 - 31*n**6/1080 - 8*n**5/135 + 9*n**2 + 38. Factor i(f).
f**2*(f - 32)*(f + 1)/9
Let f(m) be the third derivative of -11/24*m**4 - 1/210*m**7 + 7/30*m**5 - 1/20*m**6 + 1/336*m**8 - 16*m**2 + 1/2*m**3 + 0*m - 6. Factor f(g).
(g - 1)**4*(g + 3)
Let y(q) be the first derivative of -q**5/510 - q**4/204 + 2*q**3/51 + 9*q**2/2 - 5*q - 70. Let z(i) be the second derivative of y(i). Factor z(s).
-2*(s - 1)*(s + 2)/17
Suppose 2*h + 2*y - 1 = 17, 0 = -5*y + 15. Let d(z) = 14*z**3 - 24*z**2 + 10*z. Let u(f) = f**3 + f**2 - f - 1. Let m(x) = h*u(x) - d(x). Factor m(v).
-2*(v - 3)*(v - 1)*(4*v + 1)
Let s(u) = -22*u + 174. Let b be s(7). Suppose b = 7*m - 5*m - 4*h, h + 5 = m. Suppose m - 1/3*g**2 - g = 0. What is g?
-3, 0
Factor -12/5*s**2 + 342*s + 23104/5 - 2/5*s**3.
-2*(s - 32)*(s + 19)**2/5
Let l(i) be the second derivative of i**5/14 - 17*i**4/6 + 92*i**3/21 + 562*i + 2. Find t such that l(t) = 0.
0, 4/5, 23
Factor 37/2*j**2 + 0 - 9*j - 10*j**3 + 1/2*j**4.
j*(j - 18)*(j - 1)**2/2
Let i(g) be the third derivative of g**5/210 + 229*g**4/42 - 153*g**3/7 - 284*g**2. Factor i(n).
2*(n - 1)*(n + 459)/7
Let o = -91951 + 91954. Factor 36 - k**o + 97/4*k**2 - 150*k.
-(k - 12)**2*(4*k - 1)/4
Let b(l) be the third derivative of -16*l**6/5 + 4*l**5/5 - l**4/12 - 67*l**3/2 - 37*l**2. Let r(f) be the first derivative of b(f). Let r(y) = 0. Calculate y.
1/24
Let a(o) = -8*o**5 - 6*o**4 - 7*o**3 + 57*o**2 - 29*o + 13. Let r(d) = 3*d**5 + 3*d**4 + 4*d**3 - 28*d**2 + 17*d - 7. Let x(w) = -4*a(w) - 10*r(w). Factor x(p).
2*(p - 3)*(p - 1)**3*(p + 3)
Let q(v) = -22*v**3 + 156*v**2 + 1102*v + 768. Let c(u) = -2*u**3 - u**2 + u - 13. Let s(j) = -12*c(j) + q(j). Factor s(y).
2*(y + 1)*(y + 6)*(y + 77)
Let m(d) = 103*d**2 - 114*d. Let f(g) = -583*g**2 + 686*g. Let l(n) = 6*f(n) + 34*m(n). Factor l(c).
4*c*(c + 60)
Let s(g) be the third derivative of -g**11/1330560 - g**10/120960 - g**5/15 + 54*g**2. Let c(f) be the third derivative of s(f). Solve c(l) = 0 for l.
-5, 0
Let d(p) = -2*p**2 - 5*p - 21. Let s(c) = -c**2 - 14 + 2 - 10 - 5*c. Let u(b) = -2*d(b) + 3*s(b). Factor u(h).
(h - 8)*(h + 3)
Factor -5*t**2 + 17*t**3 + 11*t**2 - 640 - 2*t**2 - 96*t - 16*t**3 + 2*t**2.
(t - 10)*(t + 8)**2
Let s(l) be the first derivative of 28*l**5/5 + 41*l**4 + 316*l**3/3 + 126*l**2 + 72*l - 1653. Factor s(v).
4*(v + 1)**2*(v + 3)*(7*v + 6)
Let t(s) be the first derivative of 0*s - 6/5*s**2 + 38 + 1/5*s**3. Factor t(f).
3*f*(f - 4)/5
Let s(n) = -2*n**3 - 794*n**2 - 11053*n - 42055. Let z(d) = -d**3 - 529*d**2 - 7367*d - 28037. Let c(m) = 5*s(m) - 7*z(m). Factor c(b).
-3*(b + 8)**2*(b + 73)
Let w(k) = k**2 - 2*k + 3. Let r(f) = 3*f**2 - 89*f + 9. Let i(h) = -4*r(h) + 44*w(h). Factor i(s).
4*(s + 8)*(8*s + 3)
What is v in 2/9*v**3 + 112/9*v**2 - 242/3*v + 124 = 0?
-62, 3
Let z be ((-1)/2*0)/2. Let u be 16/352*2475/90. What is q in -5/4*q**2 - u*q + z = 0?
-1, 0
Let c(q) = 3*q**2 - q - 1. Let k be c(-1). Let a = -3858 - -3862. Let 4*u**a + 8*u**5 - 23*u**2 - 87*u**k + 63*u**3 - 8*u - 5*u**2 = 0. What is u?
-1, -1/2, 0, 2
Let q = 192864 + -1350032/7. Solve -4/7*l**3 - 4/7*l - 24/7 + q*l**2 = 0 for l.
-1, 2, 3
Factor 19 - 19 - z**4 - 41*z - 39*z**3 - 147482*z**2 + 147563*z**2.
-z*(z - 1)**2*(z + 41)
Suppose -4*j + 70 = -14*j. Let s be (j - -3 - -8) + 1. Factor -121*q**s + 242*q**5 + 6*q**4 - 118*q**5.
3*q**4*(q + 2)
Factor -1/2*g**3 + 310*g + 26*g**2 + 0.
-g*(g - 62)*(g + 10)/2
Let n = -14860/41 + 29925/82. Find g such that n*g**2 + 3*g + 1/2*g**3 + 0 = 0.
-3, -2, 0
Let t be (220/(-1232))/((-30)/(-16) + -2). Factor -1/7*p**3 - 11/7*p**2 - t*p + 0.
-p*(p + 1)*(p + 10)/7
Let t(a) be the first derivative of 49*a**4 + 3220*a**3/3 - 944*a**2 + 272*a + 909. Determine s so that t(s) = 0.
-17, 2/7
Let z(f) = 44*f**2 + 443*f + 34. Let v be z(-10). Let d be 2*(-4 - (-63)/12). Suppose -1/2*y**3 - 1/2*y**v + d*y + 3/2*y**2 + 1 = 0. What is y?
-1, 2
Let c(g) be the first derivative of g**6/360 - g**5/40 - g**3/3 + 167. Let x(q) be the third derivative of c(q). Suppose x(r) = 0. Calculate r.
0, 3
Suppose 0 = -6*h - 0 + 78. Let j(a) be the first derivative of h*a - 5*a**2 - a**3 + 11 - 2*a**2 - 61*a - 5*a**2. Factor j(v).
-3*(v + 4)**2
Let l(j) be the third derivative of -26*j**7/945 + 193*j**6/270 + 88*j**5/45 - 190*j**4/27 - 128*j**3/27 - j**2 - 2*j. Let l(a) = 0. What is a?
-2, -2/13, 1, 16
Let l be (2 - -3)/(45/18). Factor -3*t**l - 6 + 55*t - t**3 - 46*t + 5 - 4.
-(t - 1)**2*(t + 5)
Let k(a) be the first derivative of a**5/30 + 5*a**4/6 + 9*a**2/2 - 3*a - 186. Let g(r) be the second derivative of k(r). Factor g(m).
2*m*(m + 10)
Let a(s) be the first derivative of -2*s**5/25 + 2*s**4/5 - 8*s**3/15 + 167. Factor a(i).
-2*i**2*(i - 2)**2/5
Let p(n) be the third derivative of 1/16*n**4 - 1/40*n**5 + 0 + 1/240*n**6 - 1/12*n**3 - 29*n**2 + 0*n. Solve p(c) = 0.
1
Let o(w) = 2*w**2 + 11*w + 9. Let x be o(-6). Factor -30*c**2 - 361 - 2*c**3 - x*c**2 + 3*c**3 + 9*c**2 - 3*c**2 + 399*c.
(c - 19)**2*(c - 1)
Let f(g) = -g**3 + g**2 + 1. Let l(b) = 2*b**3 + 1228*b**2 - 4960*b + 4983. Let w(j) = -3*f(j) + l(j). Solve w(h) = 0 for h.
-249, 2
Let n(i) = -i**3 + i**2 + 1. Let f = 54 + -63. Let q(z) = 6*z**3 - 15*z**2 + 39*z - 39. Let r(c) = f*n(c) - q(c). Solve r(g) = 0 for g.
-5, 1, 2
Let k be 7/21*-15 + 7. Let i(q) = -q**3 + 6*q**2 + q - 3. Let f be i(6). Solve 3*d**f + 2*d**k + 15*d - 14*d**2 - 3 - 3 = 0 for d.
1, 2
Let v(h) be the third derivative of h**5/45 - 22*h**4 + 790*h**3/9 + 3711*h**2. Factor v(a).
4*(a - 395)*(a - 1)/3
Let x(u) be the first derivative of -u**4/28 + u**3/3 + 30*u**2/7 - 242. Factor x(w).
-w*(w - 12)*(w + 5)/7
Let k(i) = 159*i + 4929. Let p be k(-31). Factor -1/9*l**4 - 1/9 + p*l + 2/9*l**2 + 0*l**3.
-(l - 1)**2*(l + 1)**2/9
Let r = 27 - 24. Factor -32*i**2 + 10 - 5*i**4 + 6*i**2 + 21*i**2 - 15*i**r + 15*i.
-5*(i - 1)*(i + 1)**2*(i + 2)
Let m = 4773 - 4773. Let s(v) be the first derivative of -1/2*v**2 + 0*v + 1/4*v**4 + m*v**3 + 17. Let s(t) = 0. What is t?
-1, 0, 1
Let t(j) = -j**5 - 2*j**4 - 3*j**3 + j**2 - 1. Let d(s) = -10*s**5 + 55*s**4 + 485*s**3 + 1465*s**2 + 1625*s + 610. Let x(f) = d(f) - 15*t(f). Factor x(g).
5*(g + 1)**2*(g + 5)**3
Let i(w) be the third derivative of 2*w**7/735 + 19*w**6/30 + 131*w**5/35 + 391*w**4/4