 - 5*j(q). Solve v(y) = 0.
-1, 0, 1, 4/3
Let g(k) be the third derivative of -k**5/15 - 5*k**4/3 - 14*k**3 + 1848*k**2. Factor g(w).
-4*(w + 3)*(w + 7)
Let o(g) = -g**3 - 6*g**2 - 6*g - 3. Let p be o(-5). Let n(a) = 88*a - 86. Let f be n(1). Factor -2 - 15*i + 5 + 4*i**2 - 5*i**3 + p + 11*i**f.
-5*(i - 1)**3
Let v = 1093/1230 + -91/410. Find c, given that 4*c + v*c**2 + 10/3 = 0.
-5, -1
Let f(n) be the first derivative of 2/9*n**4 - 1/90*n**6 + 0*n - 16/9*n**3 + 1 + 2/45*n**5 + 17/2*n**2. Let l(i) be the second derivative of f(i). Factor l(v).
-4*(v - 2)**2*(v + 2)/3
Let x = 15 + -15. Let n = x + 16. Factor 26*s**3 - 20*s**3 + s + 3*s - n*s**2 + 10*s - 4.
2*(s - 1)**2*(3*s - 2)
Let i(u) be the first derivative of -u**6/21 - 2*u**5/7 + 4*u**4/7 + 80*u**3/21 - 16*u**2/7 - 160*u/7 - 1222. Solve i(z) = 0.
-5, -2, 2
Let i(g) be the second derivative of g**5/150 + g**4/30 - 2*g**3/15 - 8*g**2/15 + 3840*g. Factor i(w).
2*(w - 2)*(w + 1)*(w + 4)/15
Factor 2/5*a**2 + 18*a + 88/5.
2*(a + 1)*(a + 44)/5
Let b(p) be the second derivative of -1/3*p**3 + 1/45*p**5 + 17/54*p**4 + 0*p**2 + 0 - 66*p. Solve b(r) = 0 for r.
-9, 0, 1/2
Let x(k) be the second derivative of k**7/14 + 27*k**6/10 + 45*k**5/4 + 73*k**4/4 + 12*k**3 - 279*k - 5. Factor x(h).
3*h*(h + 1)**3*(h + 24)
Let g = 181 - 176. Suppose -t + 2*i - 75 = -73, 0 = -t - 5*i + g. Factor -1/3*w**5 + 2/3*w**3 + 0*w**2 + t*w**4 - 1/3*w + 0.
-w*(w - 1)**2*(w + 1)**2/3
Let a(l) = 10*l + 5. Let b be a(2). Suppose -21*p = -b*p + 24. Factor 5*r - 18*r**2 + 42*r**2 - 23*r**2 + p.
(r + 2)*(r + 3)
Let j(k) = -3*k**3 + 113*k**2 + 2657*k - 2760. Let v(x) = -x**3 + 56*x**2 + 1329*x - 1380. Let p(s) = 4*j(s) - 7*v(s). Factor p(l).
-5*(l - 23)*(l - 1)*(l + 12)
Factor -183*n**2 + 228*n + 410*n**2 - 225*n**2 + 226.
2*(n + 1)*(n + 113)
Let s(r) be the first derivative of -r**4/22 + 8*r**3/11 + 64*r**2/11 + 211. Determine t so that s(t) = 0.
-4, 0, 16
Let t(c) be the third derivative of 0 - 2/3*c**3 - 14*c**2 - 1/30*c**5 + 0*c - 1/4*c**4. Factor t(k).
-2*(k + 1)*(k + 2)
Let o = -1/488 + 67/2928. Let y(c) be the second derivative of 0 + o*c**4 - 1/6*c**3 + 3/8*c**2 + 13*c. Factor y(x).
(x - 3)*(x - 1)/4
Let q(v) be the first derivative of 2*v**3/51 - 56*v**2/17 - 232*v/17 + 4250. Factor q(r).
2*(r - 58)*(r + 2)/17
Let x(l) be the third derivative of l**8/60480 - 19*l**7/15120 - 11*l**5/15 - 55*l**2. Let d(v) be the third derivative of x(v). Suppose d(p) = 0. Calculate p.
0, 19
Suppose -315*z - 313 + 2929 = 1353*z - 360*z. Suppose -8*r + 82/3*r**z + 0 - 53/3*r**3 - 5/3*r**4 = 0. What is r?
-12, 0, 2/5, 1
Suppose -16/7*v**3 - 6/7*v**2 + 52/7*v + 0 = 0. Calculate v.
-2, 0, 13/8
Let c(m) be the first derivative of 5/3*m**2 + 1/6*m**4 + 100/3*m + 92 - 16/9*m**3. Factor c(v).
2*(v - 5)**2*(v + 2)/3
Factor -235*j**2 + j**3 - j**3 - 3*j**3 - 7*j**3 + 5*j**3 + 485*j - 245.
-5*(j - 1)**2*(j + 49)
Factor 1/11*c**4 + 4071/11*c**2 + 123/11*c**3 + 17405/11*c + 0.
c*(c + 5)*(c + 59)**2/11
Let q(u) = -6*u**3 - 4*u**2 - 3*u - 3. Let b be q(-1). Suppose 0 = j - 5*h + 12, -5*j + b*j - 4*h = -21. Factor 9/7 + 3/7*y**j - 15/7*y + 3/7*y**2.
3*(y - 1)**2*(y + 3)/7
Let r(i) be the third derivative of i**7/1995 + i**6/190 - 46*i**5/285 - i**4/38 + 91*i**3/57 + 2716*i**2. Suppose r(f) = 0. What is f?
-13, -1, 1, 7
Let r be 43/36 + -22 + (-340)/(-16). Factor -r*w**2 - 2/9*w**3 + 0 + 0*w.
-2*w**2*(w + 2)/9
Let h be (1 + 7/(-5))/(4/160). Let j be (-9)/((-360)/h) - 2/(-5). Factor 0*s - 3/7*s**4 + j*s**3 + 6/7*s**2 - 3/7.
-3*(s - 1)**2*(s + 1)**2/7
Suppose 0 = r + 352*r - 7413. Let j(h) be the third derivative of r*h**2 + 0 + 5/6*h**4 - 1/6*h**6 + 0*h + 1/12*h**5 - 5/6*h**3. Let j(t) = 0. What is t?
-1, 1/4, 1
Let t(r) = -204*r**2 + 1419*r + 63. Let c be t(7). Factor c - 8/5*l**2 + 1/5*l**3 + 0*l.
l**2*(l - 8)/5
Let l be ((444/96)/(-37))/(2/(-32)). Let f = 33 + 4. Factor f*q**2 + 2 - 39*q**l - 7*q - 2*q**3 + 9*q**3.
(q - 1)*(q + 1)*(7*q - 2)
Let f(l) be the third derivative of l**5/90 - 34*l**4/3 + 4624*l**3 + 15*l**2 - 18. Suppose f(m) = 0. Calculate m.
204
Let f = 83/3 + -27. Let u be (-60)/(-216)*((-28)/(-20) - 1). Find n such that 1/9*n + u*n**2 - f = 0.
-3, 2
Let 2/5*l**5 - 12/5*l**4 + 0*l + 0 - 132/5*l**2 - 98/5*l**3 = 0. Calculate l.
-3, -2, 0, 11
Let g = 3290689/54012 + 1847/643. Let p = 251/21 + g. Solve -105/4*a**3 + p*a**2 + 12*a - 9 = 0.
-2/5, 2/7, 3
Let k be (-21)/35 + -26*2/(-20). Factor y**k + y**3 + 3920 - 3920.
y**2*(y + 1)
Suppose 0 = -2*i + i + 24. Suppose i = 2*w - 5*x, 5*w = -2*x + 29 + 89. Factor -w*y**2 - 33*y**3 - 14*y**2 + 15*y**4 + 12*y + 42*y**3.
3*y*(y - 1)*(y + 2)*(5*y - 2)
Factor -110/13*y**2 - 350/13*y + 36750/13 - 2/13*y**3.
-2*(y - 15)*(y + 35)**2/13
Let x be (4/(-4))/(20/10*(-4)/248). Let m(q) be the second derivative of 0 + x*q + 0*q**2 + 4*q**4 + 1/30*q**6 + 3/5*q**5 + 32/3*q**3. Factor m(l).
l*(l + 4)**3
Let f = -35 + 37. Let b be (-9)/(-6)*(-84)/(-252). Factor 9/4*i + b + 7/4*i**f.
(i + 1)*(7*i + 2)/4
Let s(c) be the second derivative of -3*c**6/20 + 39*c**5/5 + 39*c**4/2 - 104*c**3 - 432*c**2 + 1615*c. Determine h, given that s(h) = 0.
-2, -4/3, 2, 36
Let k be (10/1)/(2*(13 + -10) - 4). Let h(m) be the second derivative of 38*m + 0*m**4 + 0*m**2 - 1/63*m**7 + 4/45*m**6 - 1/10*m**k + 0*m**3 + 0. Factor h(g).
-2*g**3*(g - 3)*(g - 1)/3
Let f(v) be the first derivative of -5/11*v**4 + 74 - 12/11*v**2 + 14/11*v**3 + 2/11*v. Let f(b) = 0. What is b?
1/10, 1
Suppose 2*b = -4*x - 2302, 0 = 2*b - 40 + 30. Let r = x + 2893/5. Factor 0 - 12/5*z**2 + 4/5*z + r*z**3 + z**4.
z*(z - 1)*(z + 2)*(5*z - 2)/5
Let d be (-51027)/(-6291) - 2*(-2 + 6). Let v(t) be the first derivative of 21 + 0*t**2 + d*t**3 - 1/3*t. Suppose v(z) = 0. Calculate z.
-1, 1
Let w(h) be the first derivative of h**8/504 - h**6/90 + h**4/36 - 139*h**2 - 295. Let g(t) be the second derivative of w(t). Factor g(l).
2*l*(l - 1)**2*(l + 1)**2/3
Let a(u) = -12*u**2 - 822*u + 1263. Let j be a(-70). Find m such that 0 - 7*m - 1/4*m**j - 29/4*m**2 = 0.
-28, -1, 0
Let g(i) be the third derivative of i + 0 - 5/12*i**5 - 10*i**2 - 5/24*i**4 + 25/6*i**3 + 1/24*i**6. Factor g(x).
5*(x - 5)*(x - 1)*(x + 1)
Let x(c) be the second derivative of c**6/75 - 9*c**5/25 + 16*c**4/15 + 2*c - 2818. Factor x(k).
2*k**2*(k - 16)*(k - 2)/5
Let f(b) be the second derivative of -b**4/20 + 171*b**3 - 438615*b**2/2 - 313*b. Factor f(m).
-3*(m - 855)**2/5
Let j(z) be the second derivative of z**6/780 - 2*z**5/65 + 11*z**4/156 - 3*z**2/2 + 18*z. Let b(l) be the first derivative of j(l). What is r in b(r) = 0?
0, 1, 11
Let c = 119590 + -119585. Factor 8/7 + 1/7*b**c + 44/7*b**2 + 4/7*b**4 - 26/7*b**3 - 31/7*b.
(b - 1)**4*(b + 8)/7
Factor 56*w**2 - 726*w + 33*w**2 - 84388*w**3 + 84385*w**3 + 10*w**2.
-3*w*(w - 22)*(w - 11)
Let -6/13*j**2 - 102/13*j**3 + 310/13*j + 2/13*j**4 - 204/13 = 0. Calculate j.
-2, 1, 51
Let b(v) be the second derivative of 1/30*v**6 - 2*v + 0*v**3 - 1/3*v**4 - 3/20*v**5 + 0*v**2 + 10. Suppose b(d) = 0. Calculate d.
-1, 0, 4
Determine f so that 100 - 786/7*f + 2/7*f**3 + 12*f**2 = 0.
-50, 1, 7
Let u = -26576 - -26576. Solve 16/5*s**4 - 6/5*s**5 + u*s + 0 + 6*s**3 + 8/5*s**2 = 0 for s.
-1, -1/3, 0, 4
Let n(p) = p**3 - 71*p**2 - 65*p - 500. Let x be n(72). Let b(c) be the first derivative of -c - 5 - 1/12*c**3 + c**2 - 3/16*c**x. Factor b(f).
-(f - 1)*(f + 2)*(3*f - 2)/4
Let q(k) = 8*k**5 + 3*k**4 - 3*k**3 - 7*k**2 + 7*k. Let j(s) = -s**2 + 148 + s**4 - s**3 - 148 + s**5 + s. Let w(p) = 21*j(p) - 3*q(p). Factor w(d).
-3*d**3*(d - 2)**2
Let y(m) be the second derivative of 3*m**5/100 + 353*m**4/20 + 176*m**3/5 + 3221*m. Find d, given that y(d) = 0.
-352, -1, 0
Suppose 46*p + 147 = -3*p. Let s(a) = a**3 - 94*a**2 + 405*a - 4. Let c(l) = 2*l**3 - 93*l**2 + 405*l - 3. Let i(d) = p*s(d) + 4*c(d). Let i(v) = 0. What is v?
0, 9
Let h(v) be the second derivative of 11/4*v**4 + 1/30*v**6 - 1 + 32*v**2 + 56/3*v**3 - 7/10*v**5 - 2*v. Factor h(i).
(i - 8)**2*(i + 1)**2
Let c = -1/6846 + 110107/3423. Let b = -92/3 + c. Solve -b*d - 3*d**2 + 0 - 3/2*d**3 = 0 for d.
-1, 0
Let v(c) be the first derivative of 3/5*c**2 + 0*c - 1/30*c**6 - 46 + 3/4*c**4 - 3/25*c**5 - 17/15*c**3. Factor v(i).
-i*(i - 1)**3*(i + 6)/5
Let r(w) be the first derivative of -5*w**3/3 - 1305*w**2/2 - 1300*w + 6875.