*2 + 7*y + 2*y**2 - y - y**3. Let a(o) = -5*m(o) - 2*p(o). Factor a(j).
-3*(j - 1)*(j + 1)**2
Let n = -29 - -175. Let q = n - -44. Let -50*i**5 - 278*i**3 - 14*i - 70*i - q*i**4 - 8 - 194*i**2 + 20*i = 0. Calculate i.
-1, -2/5
Let c be 2*(6 + -8 - 10/(-4)). Let j be 2/c*21/6. Find g such that 3*g**5 - 26*g**2 + 16*g**4 + 34*g**2 - j*g**5 - 20*g**3 = 0.
0, 1, 2
Solve -2040194*o**2 + 590683 - 1085142 - 2*o**4 - 2609985*o - 1482543*o - 780974 + 4044*o**3 - 772855 = 0.
-1, 1012
Let k be 10*24/2040*(-51)/(-12). Factor k*h**2 + 5/2*h + 2.
(h + 1)*(h + 4)/2
Let m(p) be the second derivative of 78961*p**4/6 + 562*p**3/3 + p**2 + 137*p + 2. Factor m(o).
2*(281*o + 1)**2
Find n, given that -27*n + 1/2*n**5 + 0 - 69/2*n**2 + 9/2*n**4 - 7/2*n**3 = 0.
-9, -2, -1, 0, 3
Suppose 2*u = 2*y + 8, -2 = 5*y - 6*y. Suppose -u = 10*q - 12*q. Factor 2*x**3 + 3*x**2 + 6*x**q - 9*x - 11*x**3 - 15*x**2.
-3*x*(x + 1)*(x + 3)
Let j be ((-1)/(9/(-26)) - (-1 + 3))*(-55512)/(-80184). Determine h so that -22/13*h - 6/13*h**3 + j + 20/13*h**2 = 0.
1, 4/3
Suppose 38*c - 164 = -24*c + 21*c. Determine j so that 0*j - 2/3*j**2 + 4/3*j**3 - 2/3*j**c + 0 = 0.
0, 1
Let t be (32/(-24))/((-3)/((-18)/(-4))). Let n(g) = -g**2 + 38*g + 37. Let z(f) = f**2 + f - 1. Let l(h) = t*z(h) - n(h). Factor l(j).
3*(j - 13)*(j + 1)
Let j = -7630043 - -114521129/15. Let p = j - 4696. Factor -16/5*m**3 + 2/15 - 16/15*m + 6/5*m**4 + p*m**2.
2*(m - 1)**2*(3*m - 1)**2/15
Let r(n) = 37*n**4 + 14*n**3 + 23*n**2 - 25*n + 7. Let v(w) = 16*w**4 + 7*w**3 + 11*w**2 - 13*w + 3. Let y(z) = -3*r(z) + 7*v(z). Factor y(m).
m*(m - 1)*(m + 4)**2
Let d be ((-5)/15)/((-5)/45). Suppose 5*z - 5 = 0, 4*i + 0*z - 19 = -d*z. Find u, given that 5*u**4 - 4*u**5 + 4*u - 12*u**2 + 3*u**4 + 0*u**2 + i*u**2 = 0.
-1, 0, 1
Let y(m) = -6*m**2 - 711*m + 3. Let a(n) = -11*n**2 - 1423*n + 5. Let s(b) = -3*a(b) + 5*y(b). Find l, given that s(l) = 0.
-238, 0
Let p be ((-12989)/434 - -30)/(2/80). Let 2/7*y**3 - 144/7 + 24/7*y + p*y**2 = 0. What is y?
-6, 2
Let y be 4188/(60/5) + 8. Let w be 76/y + (-29)/((-4872)/(-16)). Factor w*l**2 + 0 + 0*l.
2*l**2/17
Let p(x) be the third derivative of x**5/150 + 619*x**4/30 + 383161*x**3/15 + 1994*x**2. Factor p(h).
2*(h + 619)**2/5
Let r(b) = 8*b - 130. Let v be r(16). Let p be (-4)/(-30) - ((-468)/135 - v). Solve 0 + p*i**2 + 0*i + 2/5*i**4 + 8/5*i**3 = 0.
-2, 0
Let n(q) = -q**2 - 22*q + 43. Let g be n(-24). Let o be ((-6)/g)/((-7)/(70/(-4))). Let 5*y + 3 + o*y**2 + 5*y - 4*y = 0. Calculate y.
-1
Suppose 1155*f**2 - 97*f**4 - 149*f**3 - 349*f**3 + 498*f - 1647*f**2 + 94*f**4 + 495 = 0. Calculate f.
-165, -1, 1
Let g(b) = -316 + 306 + 15*b**2 - 4*b**3 - 9*b**2. Let r(f) = f**3 - f. Let j(v) = -g(v) - 3*r(v). Factor j(t).
(t - 5)*(t - 2)*(t + 1)
Let l(f) = -f**2 + 7*f - 136. Let h be l(18). Let u = -334 - h. Solve u - 84/5*g**3 - 66/5*g**4 - 3*g**5 - 24/5*g**2 + 0*g = 0.
-2, -2/5, 0
Let y(v) = -9*v**2 + 5553*v - 3636. Let k(w) = -15*w**2 + 11105*w - 7283. Let l(s) = 6*k(s) - 11*y(s). Factor l(x).
3*(x + 617)*(3*x - 2)
Let p(n) = 2*n**3 - 94*n**2 + 84*n. Let y(r) be the second derivative of -r**5/20 - r**3/3 - 3*r - 78. Let m(j) = p(j) + 12*y(j). Factor m(i).
-2*i*(i + 10)*(5*i - 3)
Let w(r) = 4*r**4 - 35*r**3 - 91*r**2 - 73*r + 7. Let b(t) = -2*t**4 + 17*t**3 + 47*t**2 + 37*t - 3. Let i(n) = -7*b(n) - 3*w(n). Find p such that i(p) = 0.
-2, -1, 0, 10
Let y(j) be the second derivative of 1/3*j**4 + 1/30*j**6 + 0 - 1/5*j**5 + 9*j + 17/2*j**2 + 0*j**3. Let n(k) be the first derivative of y(k). Factor n(u).
4*u*(u - 2)*(u - 1)
Factor -208/3*w**2 + 7*w**3 - 22/3 - 251/3*w.
(w - 11)*(w + 1)*(21*w + 2)/3
Let z(o) be the third derivative of -o**7/840 - o**6/80 + o**5/20 + 19*o**4/48 + 7*o**3/8 - o**2 + 258. Determine r, given that z(r) = 0.
-7, -1, 3
Let a(y) = y**2. Let n be (3 - -1*1)*(-4 + 2). Let w be (n/10)/(3/(-60)). Let b(d) = 12*d**2 + 8*d. Let k(i) = w*a(i) - b(i). Factor k(m).
4*m*(m - 2)
Let o(y) be the second derivative of -7*y**5/12 - 15*y**4/8 - 5*y**3/3 - 113*y**2 + 32*y. Let b(u) be the first derivative of o(u). Factor b(r).
-5*(r + 1)*(7*r + 2)
Let h(o) be the first derivative of -1/30*o**4 - 49 + 0*o + 0*o**2 + 4/15*o**3. Factor h(g).
-2*g**2*(g - 6)/15
Let g(w) = 3*w - 8. Let p(b) = -5*b**2 + 1902*b - 1892. Let h(u) = g(u) + p(u). Let h(y) = 0. What is y?
1, 380
Let 5*w**2 + 293742 + 5260*w + 269709 + 671579 + 148350 = 0. What is w?
-526
Let h(f) = -6*f + 9. Let k be h(1). Factor 6075*t - 593*t**3 - 592*t**k + 1188*t**3 + 270*t**2.
3*t*(t + 45)**2
Let c(s) = -s**5 + s**4 + s**2 + 1. Let b(l) = 3*l**5 - 11*l**4 + 23*l**3 - 9*l**2 - 24*l + 14. Suppose 27*a + 32 = -22. Let u(i) = a*c(i) - b(i). Factor u(z).
-(z - 4)**2*(z - 1)**2*(z + 1)
What is s in -186/7*s**2 - 2/21*s**3 - 38088/7 - 13248/7*s = 0?
-138, -3
Let t(w) be the third derivative of w**7/14 + 65*w**6/24 - 91*w**5/12 + 115*w**4/24 + 3*w**2 - 603*w - 1. Find j such that t(j) = 0.
-23, 0, 1/3, 1
Let u(s) = -69*s - 18. Let k(c) = c**2 + 72*c + 12. Let f(a) = 3*k(a) + 2*u(a). Factor f(z).
3*z*(z + 26)
Let r(w) be the third derivative of 5*w**8/84 + 13*w**7/42 - 49*w**6/24 - 121*w**5/12 + 195*w**4/8 + 30*w**3 - 49*w**2 - 4*w. Let r(x) = 0. What is x?
-4, -3, -1/4, 1, 3
Let h(v) = 73*v**2 + 46*v**3 - 11*v - 167*v**2 - 24 - 6*v**5 - 2*v**4 + 53*v + 30*v. Let a(o) = -o**5 + o**3 - 2*o. Let b(x) = 4*a(x) - h(x). Factor b(j).
2*(j - 2)*(j - 1)**3*(j + 6)
Let j(h) be the first derivative of h**3/27 + 52*h**2/9 + 1867. Determine p so that j(p) = 0.
-104, 0
Let g = -500 + 362. Let x = -136 - g. Factor 10/9*m**2 - 2/3*m - 2/9*m**3 - x.
-2*(m - 3)**2*(m + 1)/9
Let p(d) be the first derivative of -d**7/1260 + 4*d**6/405 + d**5/45 + 26*d**3/3 + 2*d - 19. Let q(v) be the third derivative of p(v). Factor q(c).
-2*c*(c - 6)*(3*c + 2)/9
Let b(v) be the second derivative of -v**6/900 + v**5/20 + 13*v**3/3 - 38*v - 1. Let z(m) be the second derivative of b(m). Let z(p) = 0. Calculate p.
0, 15
Suppose -375 = -3*c + 3*j, 5*j - 12 = -32. Let h = c + -237/2. Solve -75/2*x**4 - h*x**3 + 10*x + 30*x**2 + 0 = 0.
-2/3, -2/5, 0, 1
Let f(o) = 6*o**3 - 4*o**2 + 3*o. Let i be f(2). Suppose 8 = -2*k + i. Factor 9 + k*t**3 - 12*t + 13*t**3 - 22*t**3 - 15*t**2.
3*(t - 3)*(t + 1)*(2*t - 1)
Let l(v) = -5 + 0*v - 11 - v**2 + 10*v. Let m be l(6). Determine h, given that -56*h**3 + 25*h**4 + 60*h - 4*h**5 + m*h**2 - 36 + 50*h**4 - 47*h**4 = 0.
-1, 1, 3
Let w(z) be the second derivative of 23*z + 0*z**2 + 0 + 2/21*z**3 + 9/28*z**5 - 2/7*z**4 - 5/42*z**6. Determine a, given that w(a) = 0.
0, 2/5, 1
Let a(v) be the second derivative of -51796809*v**4/28 - 14394*v**3/7 - 6*v**2/7 + 4338*v + 2. Let a(z) = 0. What is z?
-2/7197
Factor -68/7 - 66/7*x + 2/7*x**2.
2*(x - 34)*(x + 1)/7
Let y(k) = -k**2 - 18*k - 72. Let a be y(-6). Let q be a*2*(-2 + 1)/2. Factor q*t + 3*t**4 + 15/4*t**3 + 0 + 3/2*t**2 + 3/4*t**5.
3*t**2*(t + 1)**2*(t + 2)/4
Factor -100/3 - 98/3*g + 2/3*g**2.
2*(g - 50)*(g + 1)/3
Let h(w) = 2*w**5 + w**3 + w**2 + 2*w. Let j(b) = 11*b**5 - 50*b**4 + 72*b**3 + 42*b**2 - 73*b + 10. Let d(g) = -4*h(g) + 2*j(g). Find t, given that d(t) = 0.
-1, 1/7, 1, 2, 5
Let w(d) be the third derivative of 0*d**5 + 0 + 7/36*d**4 + 161*d**2 - 1/180*d**6 + 0*d - 2/3*d**3. Let w(r) = 0. Calculate r.
-3, 1, 2
Let y(c) be the first derivative of 2*c**7/105 + 19*c**6/120 + 19*c**5/60 - c**4/4 + 23*c**2/2 + 29. Let m(i) be the second derivative of y(i). Factor m(q).
q*(q + 2)*(q + 3)*(4*q - 1)
Let d(m) be the first derivative of m**6/10 - 429*m**5/25 + 3774*m**4/5 + 6324*m**3/5 - 59616*m**2/5 - 186624*m/5 - 1569. Solve d(w) = 0 for w.
-2, 3, 72
Let t(p) be the first derivative of -1/3*p**6 + 8*p - 7/2*p**4 + 8*p**2 + 107 + 2/3*p**3 - 2*p**5. What is k in t(k) = 0?
-2, -1, 1
Let k(b) be the second derivative of -b**5/40 + 1391*b**4/24 - 40252*b**3 - 121104*b**2 - 161*b. Determine s, given that k(s) = 0.
-1, 696
Suppose 450 + 82/11*m**2 - 1110/11*m - 2/11*m**3 = 0. What is m?
11, 15
Determine t, given that -16*t**2 - 10 + 67/3*t + 11/3*t**3 = 0.
1, 15/11, 2
Let 0 + 1/7*n**3 - 176/7*n - 86/7*n**2 = 0. What is n?
-2, 0, 88
Factor 45/4*l + 1/4*l**2 - 23/2.
(l - 1)*(l + 46)/4
Let v be (-3)/(-1)*1/9*6. Let t be (v/(-15))/(216/(-270)). Let -2/3*g + 1/2 + t*g**2 = 0. What is g?
1, 3
Let a(d) be the 