 = 0.
-63, -3, -1/3
Let j = 189 - -4. Find y such that -100*y**2 + 432*y - 404*y**3 - 40*y**5 - 131*y - j*y - 276*y**4 + 40 = 0.
-5, -1, -2/5, 1/2
Let z be 11/(-121)*0 + (-3)/(-12). Let n(g) be the second derivative of 27/2*g**2 + 0 + 3*g**3 + 5*g + z*g**4. Solve n(p) = 0 for p.
-3
Factor -18/5*g + 33/5*g**2 - 3.
3*(g - 1)*(11*g + 5)/5
Determine l, given that -4/3 - 44*l**3 - 524/3*l + 527/3*l**2 = 0.
-1/132, 2
Let n(d) be the second derivative of -3*d**4 - 2*d**3 - 2 - 1/5*d**6 + 0*d**2 + 11*d - 9/14*d**7 + 81/20*d**5. Let n(s) = 0. Calculate s.
-2, -2/9, 0, 1
Suppose -1726 + 921 = 45*w - 895. Suppose 0*f - 3/5*f**4 + 0 + 0*f**3 + 3/5*f**w = 0. What is f?
-1, 0, 1
Let o(a) be the second derivative of 1/11*a**3 + 1/22*a**4 - 63*a + 0*a**2 + 0. Solve o(z) = 0.
-1, 0
Let y(b) be the first derivative of -187 - 28/11*b - 13/11*b**2 + 2/33*b**3. Factor y(k).
2*(k - 14)*(k + 1)/11
Factor 59/2*r + 1/2*r**4 - 27/2*r**2 - 3/2*r**3 - 15.
(r - 6)*(r - 1)**2*(r + 5)/2
Let p(t) be the third derivative of -245*t**2 + 0*t**4 - 1/60*t**6 + 1/168*t**8 - 1/35*t**7 + 0*t**3 + 0 + 1/10*t**5 + 0*t. Factor p(a).
2*a**2*(a - 3)*(a - 1)*(a + 1)
Let m(v) be the first derivative of v**3/18 - 2*v**2 - 26*v/3 + 4632. Factor m(h).
(h - 26)*(h + 2)/6
Let n be ((-159710)/(-55) - 5)/(9/(-6)). Let q = -1928 - n. Determine w so that 2/11*w**4 + 90/11*w**2 - 26/11*w**3 - 500/11 + q*w = 0.
-2, 5
Let l(j) be the first derivative of j**4/18 - 4*j**3 + 260*j**2/3 - 6800*j/9 + 2228. Factor l(g).
2*(g - 34)*(g - 10)**2/9
Let s = 1445 - -303. Suppose -8 = -1752*f + s*f. Factor 3/2*p + 0 + 21/4*p**f.
3*p*(7*p + 2)/4
Let d = -335657 - -335657. Solve -34/7*q**4 + 34/7*q**2 + 8/7*q - 8/7*q**5 + 0 + d*q**3 = 0 for q.
-4, -1, -1/4, 0, 1
Factor -9/4*s + 0 - 1/4*s**4 + 9/4*s**2 + 1/4*s**3.
-s*(s - 3)*(s - 1)*(s + 3)/4
Suppose 0*c + 2*c = -5*y - 256, 4*c = -4*y - 200. Let g = y + 55. Solve s**4 + 12 + 11*s**3 - 12 - 14*s**g = 0.
0, 3
Suppose 13*p - 15 = 8*p. Let -2 + 10 - 4*k**p + 21*k + 16*k**2 - 41*k = 0. Calculate k.
1, 2
Suppose c + 16 = -4*v, -4879*v = -4880*v + 3*c + 48. Solve 0*z - 2/3*z**3 - 4/3*z**2 + v = 0.
-2, 0
Suppose 0 = 16*s + 2*s - 55494. Solve 5*i**5 - 8*i**2 + 7*i**5 + 16*i**4 - s*i**3 + 3063*i**3 = 0 for i.
-2, -1/3, 0, 1
Let p(q) be the second derivative of -q**4/24 - 487*q**3/12 - 363*q**2 + 4303*q. Let p(t) = 0. Calculate t.
-484, -3
What is n in -336235*n**4 + 92*n**2 - 94*n + 36*n**3 - 106*n + 96 + 4*n**5 + 336207*n**4 = 0?
-2, 1, 3, 4
Let z(a) = -a**3 + 10*a**2 - 2*a - 9. Let b be z(2). Let j(t) be the first derivative of -16/9*t**3 - 4/3*t - 10/3*t**2 + b. Determine s, given that j(s) = 0.
-1, -1/4
Let b(t) = -3*t**3 + 32*t**2 - 75*t - 10. Let u be b(7). Determine y so that -4/5*y**2 + 8/5*y**u + 0 - 2/5*y**3 + 0*y + 6/5*y**5 = 0.
-1, 0, 2/3
Suppose -2*y - 3*i + 67 = 16, -3*i - 96 = -5*y. Let u(q) be the second derivative of 1/5*q**3 - 1/30*q**4 + y*q + 0 - 2/5*q**2. Factor u(l).
-2*(l - 2)*(l - 1)/5
Let y = 131647/70 + -5642/3. Let k(t) be the second derivative of 1/30*t**3 + 0 + 0*t**6 + 0*t**2 + 0*t**4 - 1/50*t**5 + y*t**7 + 18*t. Solve k(v) = 0 for v.
-1, 0, 1
Let c be ((-18)/7)/((-2200)/(-35) + -65). Factor 1/5 + 9/5*m**2 - 4/5*m**3 - c*m.
-(m - 1)**2*(4*m - 1)/5
Let 35/3*u - 1/3*u**4 + 4 + 3*u**3 + 11*u**2 = 0. What is u?
-1, 12
Let z be 5/(-6) + (-26631)/54 + -5. Let w = z - -2498/5. What is a in 0*a**4 + 0*a**2 + 0*a + w*a**5 + 0 - 12/5*a**3 = 0?
-2, 0, 2
Let m be 625/3600 - ((-32)/36 - -1). Let o(z) be the first derivative of -m*z**2 + 1/8*z - 1/24*z**3 + 1/32*z**4 + 7. Factor o(n).
(n - 1)**2*(n + 1)/8
Let s(w) be the third derivative of 2*w**7/105 - 3379*w**6/180 + 94865*w**5/18 + 33088*w**4/3 + 8836*w**3 - 235*w**2 - 16. Suppose s(g) = 0. What is g?
-1/2, -1/3, 282
Suppose v - 33 = -3*t, -t - 34 = -4*v + t. Factor v + 9*z + 3/2*z**2.
3*(z + 2)*(z + 4)/2
Let q = -3 + 3. Suppose q = p - 2*p + 2. Factor 5*u**3 + 7*u**3 - 5*u**4 + u**4 - 8*u**p.
-4*u**2*(u - 2)*(u - 1)
Suppose 387 = 15*r + 357. Suppose 156*a + 9*a**r + 332 - 3*a**4 + 72*a**2 + 6*a**3 - 248 = 0. Calculate a.
-2, -1, 7
Let y(l) be the third derivative of -7/15*l**3 + 0 + 2*l**2 - 2/15*l**4 - 1/150*l**5 + 48*l. Factor y(g).
-2*(g + 1)*(g + 7)/5
Let r(c) be the first derivative of -c**3/15 - c**2/2 + 66*c/5 + 1399. Factor r(d).
-(d - 6)*(d + 11)/5
What is p in 160 - 16/3*p - 2/3*p**2 = 0?
-20, 12
Let j(i) = -2*i**3 + 377*i**2 + 188*i + 193. Let t be j(189). Factor -7 + t*m**2 - 5/2*m - 1/2*m**3.
-(m - 7)*(m - 2)*(m + 1)/2
Let c be -1 + (66 - (2 - 0)). Suppose -125*l**3 - 5*l**4 + 10*l**2 + 0*l**4 + c*l**3 + 67*l**3 = 0. What is l?
-1, 0, 2
Let z = -478 - -10886/23. Let m = z + 455/92. Suppose 1/4*y - m*y**4 + 0 - 3/8*y**3 + 3/8*y**2 = 0. Calculate y.
-2, -1/2, 0, 1
Let m(d) be the third derivative of 0*d - 1/8*d**4 - 2 + 1/60*d**5 - 21*d**2 - 3*d**3. Suppose m(v) = 0. What is v?
-3, 6
Let l(s) be the first derivative of 240*s + 27*s**3 + 3/20*s**5 + 98 - 114*s**2 - 51/16*s**4. Let l(p) = 0. What is p?
4, 5
Let t(w) be the first derivative of 0*w - 26/7*w**3 - 3/28*w**4 - 507/14*w**2 + 9. Factor t(m).
-3*m*(m + 13)**2/7
Let f(m) be the third derivative of 0 + 2*m**3 + 1/20*m**5 + m - 1/2*m**4 + 9*m**2. Factor f(c).
3*(c - 2)**2
Let b be ((-13)/(-10))/((-234)/(-30)). Factor -1/2*l + 2/3 - b*l**2.
-(l - 1)*(l + 4)/6
Let p(d) be the third derivative of -d**5/60 - 23*d**4/24 + 13*d**3 - 1695*d**2 + 1. Factor p(b).
-(b - 3)*(b + 26)
Let t(g) be the first derivative of 2*g**3/9 + 40*g**2 + 2400*g + 3857. Suppose t(b) = 0. What is b?
-60
Let y = 85 + 6. Factor -13 + 5 + 2*h**2 - y*h + 91*h.
2*(h - 2)*(h + 2)
Let n = 834 - 828. Let b be ((-3)/5)/(((-621)/n)/23). Determine s so that -2/3*s**2 + 4/15 - b*s - 4/15*s**3 = 0.
-2, -1, 1/2
Let u(f) be the third derivative of -28*f**2 + 1/9*f**3 - 2/315*f**7 + 0 + 1/15*f**5 + 1/360*f**6 + 0*f - 11/72*f**4. Solve u(i) = 0.
-2, 1/4, 1
Let s(z) = -3*z**3 + 8*z**2 - 13*z + 6. Let m = -68 - -35. Let v(o) = -16*o**3 + 41*o**2 - 66*o + 30. Let r(d) = m*s(d) + 6*v(d). Solve r(b) = 0.
1, 2, 3
Let u(r) = r**3 - 242*r**2 - 4. Let h(x) = -8*x**3 + 1936*x**2 + 34. Let j(s) = -6*h(s) - 51*u(s). Let j(t) = 0. Calculate t.
0, 242
Determine t so that 0 + 27*t + 3/4*t**3 + 15*t**2 = 0.
-18, -2, 0
Let k be 1/3*(-198)/(-6). Suppose 14 = -4*y + k*y. Solve -2/23*z + 2/23*z**y - 4/23 = 0 for z.
-1, 2
Let p be (2586/(-15))/((-17)/(-85)). Let j = -4302/5 - p. Factor j*b + 1/5*b**2 + 16/5.
(b + 4)**2/5
Let b(a) = -7*a**2 - 100*a - 750. Let d(q) = -3*q**2 - 56*q - 375. Let x(u) = 2*b(u) - 5*d(u). Let x(o) = 0. Calculate o.
-75, -5
Let h(r) be the second derivative of -r**4/3 + 140*r**3 - 22050*r**2 - r - 1886. Factor h(c).
-4*(c - 105)**2
Suppose -9*y + 6*y - 2*c + 185 = 0, -3*y + 186 = 3*c. Let -3*h**2 + 27*h**2 + h**3 + 100*h + 11 - 5*h**3 + y = 0. Calculate h.
-2, -1, 9
Let a = 772 + -761. Factor -a*u**2 - 10*u**2 + 0*u + 19*u**2 - 10*u + 100.
-2*(u - 5)*(u + 10)
Let b(o) be the first derivative of -o**6/240 - o**5/40 - o**4/32 + o**3/12 + o**2/4 - 64*o - 23. Let g(y) be the first derivative of b(y). Factor g(c).
-(c - 1)*(c + 1)*(c + 2)**2/8
Let p(j) be the second derivative of 2*j - 1/25*j**5 + 4/5*j**3 + 36/5*j**2 + 3 + 1/75*j**6 - 11/30*j**4. Factor p(r).
2*(r - 3)**2*(r + 2)**2/5
Let x(y) be the third derivative of -y**5/210 - 71*y**4/28 - 212*y**3/21 + 3*y**2 - 50*y - 4. Factor x(s).
-2*(s + 1)*(s + 212)/7
Let k(h) = 4*h**2 - 3*h**2 + 1 + 3*h**3 - 2*h**3. Let c(o) = -8*o**3 + 6*o**3 - 6 - 20*o - 18*o**2 + 29*o. Let d(b) = c(b) + 6*k(b). Factor d(l).
l*(2*l - 3)**2
Let -31*a**4 - 553*a + 35*a**4 - 7*a - 588 + 72*a**2 + 48*a**3 = 0. Calculate a.
-7, -1, 3
Let g be -21 + (-494)/(-26) + (-3)/(9/(-8)). Factor -g + 1/6*t**2 - 1/2*t.
(t - 4)*(t + 1)/6
Let v(q) = 6*q**2 - 1066*q - 140. Let f(c) = c**2 - 213*c - 30. Let u(d) = 14*f(d) - 3*v(d). Solve u(w) = 0.
0, 54
Let o = -742226 + 742230. Suppose 2/3*z**5 - 16/3*z**3 + 14/3*z + 0*z**4 + 4*z**2 - o = 0. What is z?
-3, -1, 1, 2
Let m = -2/107 + 328/6099. Let u(j) be the second derivative of 0*j**2 + 18*j + 0 + m*j**3 + 5/114*j**4. Factor u(l).
2*l*(5*l + 2)/19
Suppose 86*f - 208688 = -8566. Suppose 11*b - f = -2283. Factor 8/3*j + 34/3*j**3 + 37/3*j**2 + 3*j**b - 4/3.
(j + 1)**2*(j + 2)*(9*j - 2)/3
Determine h so that -716/7*h**4 - 43