ven that z(l) = 0.
-1/3, 0, 2
Let c(g) be the third derivative of -g**5/570 + 2791*g**4/114 - 7789681*g**3/57 - g**2 - 114*g + 8. Factor c(o).
-2*(o - 2791)**2/19
Let a(y) = 2*y**4 - 2*y**3 + y**2 - 2*y - 1. Let h(g) = 13*g**4 - 18*g**3 - 3*g**2 + 2*g - 6. Let q(j) = 6*a(j) - h(j). Determine i, given that q(i) = 0.
-2, 0, 1, 7
Let m(z) be the third derivative of z**5/60 + z**4/6 - 25*z**3/6 - 12*z**2. Let u be m(6). Factor 21*p + 24*p - 15*p + u*p**3 + 115*p**2.
5*p*(p + 3)*(7*p + 2)
Let d(k) = -172*k**2 + 1563*k + 5. Let f(y) = -138*y**2 + 1564*y + 4. Let c(x) = -4*d(x) + 5*f(x). Factor c(g).
-2*g*(g - 784)
Let w = -4873/7 - -675. Let a = w - -22. Factor -a*h + 0 - 3/7*h**2.
-3*h*(h + 2)/7
Let -7*r**4 - 1958*r**2 + 43*r**4 - 16*r**5 - 37*r**3 + 2006*r**2 - 84 + 122*r + 18*r**5 - 87*r**3 = 0. Calculate r.
-21, -1, 1, 2
Let p(r) be the second derivative of r**6/45 + r**5/5 - 2*r**4/3 - 38*r**3/9 - 7*r**2 + 788*r. Factor p(w).
2*(w - 3)*(w + 1)**2*(w + 7)/3
Let l(b) be the first derivative of 0*b**2 + 4 - 5/33*b**3 + 1/66*b**4 + 15*b. Let w(c) be the first derivative of l(c). Factor w(i).
2*i*(i - 5)/11
Let f(u) be the first derivative of -u**5/630 + 25*u**4/126 - 625*u**3/63 + 69*u**2/2 + 114. Let v(o) be the second derivative of f(o). Factor v(z).
-2*(z - 25)**2/21
Let h be (-6)/(-14) - (-12)/(-4746)*124. Let c = 2125/791 - h. Find a such that 12/7*a - 2/7*a**2 - c = 0.
3
Let x = -4892 + 4897. Let m(j) be the second derivative of 3/100*j**x + 0 - 16*j - 1/5*j**4 - 1/10*j**3 + 6/5*j**2. Factor m(z).
3*(z - 4)*(z - 1)*(z + 1)/5
Let g = -5735399/13 - -441185. Let -2/13*h**2 + g*h + 20/13 = 0. What is h?
-2, 5
Solve -3/7*k**5 + 0*k + 0 + 0*k**2 - 4406832/7*k**3 - 7272/7*k**4 = 0 for k.
-1212, 0
Let v be 0*(-8 + 7 + (57/12 - 4)). Determine j so that 5/8*j**3 + 0 - 1/2*j - 1/8*j**5 + v*j**2 + 0*j**4 = 0.
-2, -1, 0, 1, 2
Let l(j) be the second derivative of -2*j - 4 + 1/6*j**6 - 5/6*j**4 + 5/42*j**7 + 5/6*j**3 - 1/2*j**5 + 5/2*j**2. Factor l(t).
5*(t - 1)**2*(t + 1)**3
Suppose 0 = 17*c + 26*c - 41151. Suppose -941 = 8*j - c. Factor -1/6*r**3 + 0 - 1/3*r**j - 1/6*r.
-r*(r + 1)**2/6
Let s = 140 - 117. Solve 13 - 19*t**3 + 60*t + s + 23*t**3 + 28*t**2 = 0.
-3, -1
Let v = -63 + 96. Let c(b) = -3*b**3 + 12*b**2 - 3*b + 14. Let j be c(4). Solve -6*r + v*r**j + 27/4*r**4 + 0 - 57/2*r**3 = 0.
0, 2/9, 2
Let d(q) be the second derivative of -q**5/32 - 7*q**4/64 - 149*q**2/2 + 63*q. Let a(h) be the first derivative of d(h). Solve a(u) = 0.
-7/5, 0
Suppose -31*x - 15 - 194*x + 5*x**3 - 222 - 83 + 55*x + 155*x**2 = 0. What is x?
-32, -1, 2
Let t(b) be the first derivative of -2*b**5/15 - b**4 + 32*b**3/9 + 682. Determine g, given that t(g) = 0.
-8, 0, 2
Let b(h) = 4821743*h**2 - 314158*h + 5161. Let l(a) = -241087*a**2 + 15708*a - 258. Let q(i) = -6*b(i) - 123*l(i). Factor q(v).
3*(491*v - 16)**2
Let n be 15 + (((-180)/15)/(-36))/((-4)/120). Let 48*m - 205/3*m**4 - 772/3*m**3 + 926/3*m**2 - 27 - 4*m**n = 0. Calculate m.
-9, -1/3, 1/4, 1
Let d(q) be the third derivative of -q**6/360 + q**5/20 - q**4/4 - 427*q**2 - q. Factor d(c).
-c*(c - 6)*(c - 3)/3
Let m = -606746 + 606772. Factor m*g**2 - 6*g - 15/2*g**3 + 0 - 2*g**4.
-g*(g - 2)*(g + 6)*(4*g - 1)/2
Let n(m) be the third derivative of 121*m**6/120 + 473*m**5/90 + 355*m**4/54 + 100*m**3/27 + 908*m**2. Factor n(b).
(b + 2)*(33*b + 10)**2/9
Let d(n) be the second derivative of 2 + 5/6*n**2 - 11/36*n**3 - 99*n + 1/72*n**4. Factor d(g).
(g - 10)*(g - 1)/6
Let u = -134 - -213. Find g, given that -g**3 + 71 + u + 5*g - 150 + 4*g**2 = 0.
-1, 0, 5
Let x(b) be the second derivative of 7 + 2/15*b**6 + 2*b**3 - 3/5*b**5 + 1/3*b**4 + 2*b - 4*b**2. Let x(o) = 0. What is o?
-1, 1, 2
Let n(y) be the third derivative of 8*y + 0*y**4 + 0*y**5 - 1/60*y**6 + 0*y**3 + 0 + 0*y**7 + 3*y**2 + 1/168*y**8. Factor n(t).
2*t**3*(t - 1)*(t + 1)
Suppose -3*l = 11*l + 6*l - 26*l. Let j(t) be the third derivative of 0*t + 0 - 1/36*t**5 - 13*t**2 + l*t**4 + 10/9*t**3. Factor j(r).
-5*(r - 2)*(r + 2)/3
Let s(k) be the third derivative of k**6/60 - 19*k**5/6 - 97*k**4/6 - 202*k**2. Factor s(w).
2*w*(w - 97)*(w + 2)
Let g(u) = -4*u**3 - u**2 - 2*u - 1. Let n be g(-1). Let d be 136/((-2)/(-1)) + -8 + 7. Let -16*x - n*x**4 + d - 67 + 4*x**3 + 16*x**2 = 0. Calculate x.
-2, 0, 1, 2
Let y(s) be the first derivative of -s**3/4 + 399*s**2/2 - 53067*s - 130. Let y(b) = 0. Calculate b.
266
Let k(l) be the second derivative of l**4/4 + 224*l**3 + 75264*l**2 - 2*l + 4. Factor k(d).
3*(d + 224)**2
Let w(z) be the first derivative of -z**6/240 + 17*z**5/120 - 7*z**4/6 + 13*z**3/3 + 160*z**2 - 14. Let v(y) be the second derivative of w(y). Factor v(p).
-(p - 13)*(p - 2)**2/2
Let j(k) be the first derivative of k**4/8 - 52*k**3/3 + 3397*k**2/4 - 16641*k - 3798. Find v such that j(v) = 0.
18, 43
Let y(k) be the second derivative of -2/33*k**4 + 0 + 1/110*k**5 + 0*k**2 - 30*k + 4/33*k**3. Factor y(w).
2*w*(w - 2)**2/11
Let k = -39503 - -197519/5. Factor 0 + 0*q - k*q**2 - 2/5*q**3.
-2*q**2*(q + 2)/5
Let g be -93 - 2184/(-24) - (-26)/5. Factor -16/5 + 52/5*n**2 + 52/5*n - g*n**3.
-4*(n - 4)*(n + 1)*(4*n - 1)/5
Let v be ((44/132*(-27)/2)/3)/(13 - 14). Solve 0*m + 0 - v*m**5 + 9/4*m**3 - 9/4*m**4 + 3/2*m**2 = 0.
-2, -1/2, 0, 1
Let k(v) be the third derivative of -v**7/3150 - 7*v**6/900 - v**5/15 + v**4/12 - 21*v**2 + 3. Let g(m) be the second derivative of k(m). Factor g(c).
-4*(c + 2)*(c + 5)/5
Let q be (381/(-381))/(-3 - (0 + 1)). Suppose q*u**3 + 1/4*u**2 - 9/4 - 9/4*u = 0. Calculate u.
-3, -1, 3
Let m(p) be the second derivative of p**6/45 + p**5/5 - 40*p**4 + 932*p. Determine f, given that m(f) = 0.
-30, 0, 24
Let u be 1 - 3*3*6/(-54). What is d in -d**4 + 2*d**u - 3*d - 22*d**2 - 20*d**3 - 4*d**4 - 7*d - 5*d**2 = 0?
-2, -1, 0
Factor -6/5*n**2 - 8/5*n**3 + 16/5 + 2/5*n**4 + 4*n.
2*(n - 4)*(n - 2)*(n + 1)**2/5
Let p(r) be the first derivative of -5*r**4/4 - 20*r**3/3 + 105*r**2/2 - 2011. Determine j, given that p(j) = 0.
-7, 0, 3
Let w(k) be the second derivative of 119*k**3/6 + 241*k**2 - 34*k + 2. Let n be w(-4). Find f such that -25 + 45/2*f - n*f**2 + 1/2*f**3 = 0.
2, 5
Let w = 436736056/171 - 2553934. Let y = 706/9 - w. Determine c so that -2/19 + y*c**2 + 6/19*c = 0.
-1, 1/4
Suppose -2*z = 4*c - 86 + 92, c - 2*z - 21 = 0. Find d such that 6/5*d**2 + 12/5 + 8/5*d**c - 10*d = 0.
-3, 1/4, 2
Let x(w) be the third derivative of w**9/40320 - w**8/13440 + 51*w**5/10 + 7*w**2 - 12. Let t(u) be the third derivative of x(u). Find r, given that t(r) = 0.
0, 1
Suppose 20*v - 42 = -2. Determine m, given that 85*m + 10*m**3 - 179*m**2 + 30 - 173*m**2 + 407*m**v = 0.
-3, -2, -1/2
Suppose 4*p + 4*p - 16 = 0. Factor -19*m + 4*m**4 + 23*m - 1 - 8*m**2 - 5*m**4 + 2*m**p + 4*m**3.
-(m - 1)**4
Let l(k) = -k**3 + 7*k**2 - 5*k. Suppose -13*r = -58 + 6. Let c be l(r). Determine p so that -23*p + c*p**2 + 54 - 4*p**2 + 16*p - 56*p - 3*p**3 = 0.
2, 3
Determine h, given that -1174/5 - 589/5*h - 1/5*h**2 = 0.
-587, -2
Let w(l) be the third derivative of -l**8/84 - 40*l**7/21 + 34*l**6/5 + 5254*l**2. Factor w(d).
-4*d**3*(d - 2)*(d + 102)
Let u(a) be the first derivative of a**5/25 + a**4 + 16*a**3/5 - 232*a**2/5 + 112*a - 15. Factor u(i).
(i - 2)**2*(i + 10)*(i + 14)/5
Let d(x) be the second derivative of -x**5/300 + 7*x**4/120 + 4*x**3/15 + 85*x**2/2 - x + 19. Let z(h) be the first derivative of d(h). Factor z(n).
-(n - 8)*(n + 1)/5
Let v(y) be the first derivative of -y**2 - 168 - 2/3*y**3 + 12*y. Factor v(t).
-2*(t - 2)*(t + 3)
Let j(m) = -6*m**2. Let h = -333 + 330. Let g(v) be the second derivative of -5*v**4/12 - v**3/6 + v**2 - v. Let n(o) = h*g(o) + 2*j(o). Factor n(r).
3*(r - 1)*(r + 2)
Let q(b) = b**3 + 13*b**2 + 34*b - 4. Let h be q(-4). Factor -3669*u**5 + 113*u**4 + 3652*u**5 + 191*u**2 + 4*u**h + 14*u - 241*u**3 - 56*u - 8.
-(u - 4)*(u - 1)**3*(17*u + 2)
Let v = 33 + -39. Let p(h) = -h - 4. Let g be p(v). Let -5*u**2 - 7*u**2 + 17*u**g + 63*u**4 + 40*u**3 + 17*u**4 = 0. Calculate u.
-1/4, 0
Let w = -972 - -977. Let m(u) be the first derivative of 12 - 3/35*u**w - 3/7*u + 2/7*u**3 + 3/14*u**2 + 1/14*u**6 - 3/14*u**4. Factor m(d).
3*(d - 1)**3*(d + 1)**2/7
Let q be 2*-4*(-297)/264. Let j be 9 - ((q - 4) + 1). Factor -1/6*b**4 + 1/3*b**2 + 0 + 1/6*b**j + 0*b.
-b**2*(b 