3 + 3*h**3 + 11*h**q = 0.
-1, 0, 1
Suppose 0 = 2*y - 2*a - 10, 5*a + 0*a = -2*y - 25. Let u = -172/21 + 104/7. Factor y - 28/3*p**3 + u*p**2 + 4*p**4 - 4/3*p.
4*p*(p - 1)**2*(3*p - 1)/3
Let h(v) be the first derivative of -3*v**4/4 + 10092*v**3 - 50924232*v**2 + 114206077632*v - 9738. Factor h(p).
-3*(p - 3364)**3
Let o(x) be the second derivative of -x**4/42 - 4*x**3/7 + 4*x**2 - 979*x - 2. Factor o(f).
-2*(f - 2)*(f + 14)/7
Factor -8 + 39*o**3 + 54*o**3 + 6*o**2 + 12*o + 6*o**2 - 101*o**3.
-4*(o - 2)*(o + 1)*(2*o - 1)
Let u(g) be the third derivative of g**5/12 + 75*g**4/8 + 410*g**3/3 + 1077*g**2. Find j such that u(j) = 0.
-41, -4
Let n = -901 + 913. Let p(w) be the first derivative of 1/4*w**4 - 1/6*w**3 + 1/2*w + 0*w**5 + n - 3/8*w**2 - 1/24*w**6. Factor p(z).
-(z - 1)**3*(z + 1)*(z + 2)/4
Let a = -76133/4 + 19034. Factor -a*h**3 + 1/4*h**5 - h**4 + 2*h + 5/2*h**2 + 0.
h*(h - 4)*(h - 2)*(h + 1)**2/4
Let y(g) be the first derivative of 2*g**3/51 + 3*g**2/17 - 56*g/17 - 730. What is r in y(r) = 0?
-7, 4
Let r(i) be the second derivative of 0 + 7/48*i**4 - 27/4*i**2 - 187/24*i**3 - 84*i. Solve r(t) = 0.
-2/7, 27
Let y(v) be the third derivative of -1/105*v**7 + 0*v**4 + 5*v - 8*v**2 + 0*v**6 + 0 - 1/3*v**3 + 1/15*v**5. Factor y(c).
-2*(c - 1)**2*(c + 1)**2
Let q = -952 - 199. Let s = 5756/5 + q. Solve 1/5 + 2/5*g + s*g**2 = 0 for g.
-1
Let q(t) be the first derivative of t**4/2 + 34*t**3 + 855*t**2 + 9450*t + 8317. Factor q(m).
2*(m + 15)**2*(m + 21)
Let u(y) = -2*y**5 + 87*y**4 - 662*y**3 + 441*y**2 + 154*y - 12. Let g(x) = x**5 - 5*x**4 + x**2 + 2. Let d(t) = 30*g(t) + 5*u(t). What is z in d(z) = 0?
-22, -1/4, 0, 1, 7
Let k(z) be the first derivative of 0*z - 5/18*z**4 + 0*z**2 - 1/270*z**6 - 4/3*z**3 - 13 - 1/15*z**5. Let w(y) be the third derivative of k(y). Factor w(h).
-4*(h + 1)*(h + 5)/3
Let o(n) = 8*n - 108. Let u be o(14). Factor 29*a**2 - 5*a**3 + a**2 + 5*a**2 + 6*a**2 + u*a**2.
-5*a**2*(a - 9)
Let i(h) be the third derivative of -11/18*h**4 + 0 - 121/9*h**3 + 0*h - 1/90*h**5 + 43*h**2. Factor i(r).
-2*(r + 11)**2/3
Let v be (-8)/32 + 6346/(-8). Let a = v - -795. Determine k so that 3 + a*k**2 - 9/2*k = 0.
1, 2
Factor -2/11*t**3 - 32*t**2 + 0 + 0*t.
-2*t**2*(t + 176)/11
Let m(p) be the third derivative of -p**6/120 + 9*p**5/20 - 85*p**4/12 + 24*p**3 - 40*p**2 - 14*p - 1. Solve m(d) = 0 for d.
1, 8, 18
Let o(m) be the first derivative of -m**6/30 - 19*m**5/180 + m**4/3 + 7*m**3/18 - 28*m**2 - 36. Let y(r) be the second derivative of o(r). Factor y(a).
-(a - 1)*(3*a + 7)*(4*a + 1)/3
Let h(i) = -i + 7. Let a(b) = 4*b - 28. Let t(j) = -6*a(j) - 26*h(j). Let n be t(12). Factor 9*f**3 - 10*f**3 + n*f**3 + 15*f**4 + 0*f**3 - 6*f**2.
3*f**2*(f + 1)*(5*f - 2)
Let y = 33864 - 168621/5. Let r = -2027/15 + y. Factor -r + 2/3*h**3 + 10*h - 6*h**2.
2*(h - 7)*(h - 1)**2/3
Let j(y) be the first derivative of 2*y**6/9 - 58*y**5/15 - 119*y**4/6 - 248*y**3/9 - 12*y**2 + 1033. Determine u, given that j(u) = 0.
-2, -1, -1/2, 0, 18
Let m = 179 + -149. Let -m*k - 8 + 11*k**3 + k**4 - 10*k**3 + 36*k + 7*k**2 - 7*k**3 = 0. What is k?
-1, 1, 2, 4
Let a(d) be the first derivative of d**6/12 + d**5/10 - 49*d**4/8 - 169*d**3/6 - 30*d**2 - 2290. Determine y, given that a(y) = 0.
-5, -3, -1, 0, 8
Let q be 14 - 19 - (-661)/132. Let n(f) be the third derivative of 0*f + 0*f**3 + 16*f**2 - q*f**4 + 1/330*f**5 + 0. Suppose n(h) = 0. Calculate h.
0, 1
Let o(b) = b**2 - 41*b + 2. Let j be o(20). Let n = j + 422. Let -6/7*u - 2/7*u**5 + 0*u**n - 4/7 + 8/7*u**3 + 4/7*u**2 = 0. Calculate u.
-1, 1, 2
Suppose -36/7 - y**4 - 163/7*y**2 + 58/7*y**3 + 24*y = 0. What is y?
2/7, 2, 3
Let m(l) be the second derivative of -l**4/84 - 1483*l**3/21 - 2199289*l**2/14 + 305*l. Suppose m(k) = 0. Calculate k.
-1483
Suppose -4*t = 5*a + 14, -326 = -3*a - 2*t - 332. Let y be (-3)/(3/(-2)) + 1/1. What is o in 13/3*o + 10/3 - 1/3*o**y + 2/3*o**a = 0?
-2, -1, 5
Let j be (-3773)/(-490) - -1*(-3)/6. Let y = -73 + 75. Find g such that -18/5*g**3 - 6*g - 3/5*g**4 - j*g**y - 9/5 = 0.
-3, -1
Let p(g) be the second derivative of -g**5/120 + 13*g**4/8 - 90*g**3 - 900*g**2 - 1320*g. Factor p(t).
-(t - 60)**2*(t + 3)/6
Let q(u) be the first derivative of u**4/7 - 430*u**3/21 + 5724*u**2/7 + 5832*u/7 - 12101. Find n, given that q(n) = 0.
-1/2, 54
Let i(l) = 2*l**3 - 147*l**2 + 2577*l. Let s(p) = -6*p**3 + 442*p**2 - 7726*p. Let d(z) = 10*i(z) + 3*s(z). Find n, given that d(n) = 0.
0, 36
Let x(g) be the third derivative of -2*g**5/135 + 91*g**4/216 - 25*g**3/9 + 762*g**2 - 2. Factor x(k).
-(k - 2)*(8*k - 75)/9
Let r = 18227/20 - 4523/5. Factor -r*u**4 - 27/4 - 36*u**3 + 36*u - 69/2*u**2.
-3*(u + 3)**2*(3*u - 1)**2/4
Let d = -344 - -347. Suppose 5*l = 2*y + 4, d*y + 9 = -4*l + 3. Factor l - 7/8*p**3 - 1/2*p**2 + 3/8*p.
-p*(p + 1)*(7*p - 3)/8
Let h = 370 - 257. Let u be (-8)/(-12) + (5 - h/21). Factor -2/7*x + u*x**3 + 4/7*x**2 - 4/7.
2*(x - 1)*(x + 1)*(x + 2)/7
Let r(l) = -2*l**3 - 119*l**2 - 224*l + 30. Let n be r(-2). Solve -24*x**2 + 24 - 15/2*x**3 + 9*x**4 + n*x - 3/2*x**5 = 0 for x.
-1, 2, 4
Let t = 31 - -5. Let y be (-2 - -4) + t*1 + -3. Let w(m) = m**2 - 6*m - 1. Let p(n) = 5*n**2 - 35*n - 5. Let u(h) = y*w(h) - 6*p(h). Factor u(l).
5*(l - 1)*(l + 1)
Suppose 32*l + 9504 = 38*l. Let -141*y**2 + 2071 - 123*y**3 - l*y - 343 + 120*y**3 = 0. What is y?
-24, 1
Let u = 780 - 778. Determine t, given that -51*t**u - 32*t**2 + 80 - 37*t**2 - 52*t**2 + 28*t**3 + 96*t**2 + 4*t**5 - 64*t + 28*t**4 = 0.
-5, -2, 1
Let k be -3*(26 - (-720)/(-27)). Let x(b) be the second derivative of 8/3*b**3 + 0 + 1/30*b**5 + 1/2*b**4 + 20/3*b**k + 23*b. Find o, given that x(o) = 0.
-5, -2
Let h(y) be the first derivative of -y**5/25 + 11*y**4/10 - 8*y**3/3 - 5. Suppose h(x) = 0. Calculate x.
0, 2, 20
Factor 2/5*u**2 - 1252/5*u + 195938/5.
2*(u - 313)**2/5
Suppose 0*n + 63 = c + 2*n, 2*c + n = 129. Suppose -5*a - 4*q = -c, 26 = 2*a + 4*q - q. Factor -16*r + 8 - 4*r**2 - a*r + 25*r.
-4*(r - 1)*(r + 2)
Let d(o) = -15*o**3 + 75*o**2 + 115*o + 100. Let r(n) = -n**2 - 2. Let s = -206 + 231. Let k(p) = s*r(p) + d(p). Factor k(z).
-5*(z - 5)*(z + 1)*(3*z + 2)
Let u(c) = -68*c - 68. Let y be u(-1). Let a(t) be the third derivative of 1/4*t**4 + 0*t**3 + y - 9*t**2 + 1/20*t**5 + 0*t. Factor a(g).
3*g*(g + 2)
Let g(b) be the third derivative of b**6/60 - 19*b**5/15 + 91*b**4/4 + 588*b**3 - 10*b**2 + 18*b. Factor g(i).
2*(i - 21)**2*(i + 4)
Let b(q) be the first derivative of 3*q - 1/24*q**4 - 1/4*q**3 - 14 + 0*q**2. Let l(w) be the first derivative of b(w). Find k such that l(k) = 0.
-3, 0
Let u(m) be the second derivative of -m**6/135 + 2*m**5/15 + 2573*m. Find r such that u(r) = 0.
0, 12
Suppose 7*g - 3950 = 4121. Let o = g - 5711/5. Factor 18/5*q**2 + 2/5*q**4 + 14/5*q**3 - 108/5 - o*q.
2*(q - 2)*(q + 3)**3/5
Let n = -161 + 159. Let z(d) = -6*d**2 - 8*d - 12. Let f(m) = 14*m**2 + 15*m + 24. Let l(u) = n*f(u) - 5*z(u). Factor l(b).
2*(b + 2)*(b + 3)
Let r = -138/11 + 9671/770. Let s(c) be the second derivative of 1/14*c**4 + 0*c**3 - 8*c - 4/7*c**2 - r*c**5 + 0. Factor s(f).
-2*(f - 2)**2*(f + 1)/7
Let v(d) be the second derivative of d**5/90 + 14*d**4/27 + 11*d**3/3 + 8*d**2 - 2*d + 1954. Find o such that v(o) = 0.
-24, -3, -1
Let r = 48 + -56. Let o be 1*r*2*2/(-8). Find l such that -8 + 6*l**o + 1661*l + 7*l**3 + 6*l**2 + 13*l**3 - 1685*l = 0.
-2, -1/3, 1
Let y be (-122)/(-6) + (-11)/33. Suppose -1 - 4 = 5*g + 4*m, -4*m = y. Find c such that 19 + 4*c**2 + 14 + g - 24*c + 0*c**2 = 0.
3
Suppose -55*c + 141*c - 172 = 43*c. Determine m so that -2/17*m**5 + 48/17*m + 22/17*m**c + 72/17 - 46/17*m**3 - 94/17*m**2 = 0.
-1, 1, 6
Let f(o) be the second derivative of 3*o**4/4 + 29*o**3/2 + 99*o**2 - 10*o - 30. Factor f(n).
3*(n + 6)*(3*n + 11)
Suppose 892/7*h**3 - 68/7*h**4 - 3324/7*h + 2140/7*h**2 + 360/7 = 0. Calculate h.
-3, 2/17, 1, 15
Let 54/7 + 12/7*j - 2/7*j**2 = 0. Calculate j.
-3, 9
Suppose c + 2*n = -n, -n + 10 = 2*c. Suppose 3*r - 150 + c = 0. Factor -8*v - r*v + 75*v**3 + 8*v + 15*v**2 + 12.
3*(v + 1)*(5*v - 2)**2
Suppose -714 = 6*g - 726. Let b = -240 - -1206/5. Determine c, given that -b - 2/5*c**g - 8/5*c = 0.
-3, -1
Let x(f) be the second derivative of f**5/10 + 626*f**4/3 + 4996*f**3/3 + 4992*f**2 - 1927*f. Find w, give