rivative of u**7/8 + 29*u**6/20 - 171*u**5/16 + 20*u**4 - 13*u**3/2 - 18*u**2 - 11*u + 27. Let i(o) = 0. What is o?
-12, -2/7, 1, 2
Let x be 37/30 + (69/(-18) - 3/(-1)). Find f, given that -x*f**4 + 0*f**3 + 0*f + 4/5*f**2 - 2/5 = 0.
-1, 1
Factor -24*k**3 - 4*k**4 - 20*k**2 - 6243 + 6243.
-4*k**2*(k + 1)*(k + 5)
Factor -327*m**2 - 857*m - 2286*m - 2700 - 3*m**4 + 78*m**3 + 803*m.
-3*(m - 15)**2*(m + 2)**2
Suppose 3*t + 44 = 4*a, 0*a - 5*t + 20 = 5*a. Suppose 10 = -3*o + a*o. Determine p so that -6*p**4 - 9*p**3 + 2*p**2 + 3*p**4 - 11*p**o - 3*p = 0.
-1, 0
Let v be 6 - 0/(-2 - 2). Let q be 22/6 - v/9. Factor -11*h**2 - 135*h**4 - h**2 - 69*h**3 - 3*h**q - 75*h**5.
-3*h**2*(h + 1)*(5*h + 2)**2
Let n(f) be the second derivative of -4/3*f**3 + 0 + 5/3*f**4 - 4/5*f**5 - 4*f + 2/15*f**6 + 0*f**2. Factor n(u).
4*u*(u - 2)*(u - 1)**2
Let r(p) be the third derivative of p**7/630 - 7*p**6/360 + 11*p**5/180 - 5*p**4/72 + 23*p**2. Factor r(k).
k*(k - 5)*(k - 1)**2/3
Let v be 18/((-472)/32 + -4)*-10. Let -2/5 + 32/5*y**3 + 18/5*y - v*y**2 = 0. What is y?
1/4, 1
Let b(u) be the second derivative of u**5/50 + 44*u**4/5 + 7744*u**3/5 + 681472*u**2/5 - 6*u - 2. Factor b(m).
2*(m + 88)**3/5
Let a(b) be the first derivative of -3/4*b**4 - 12*b + 8 + 0*b**2 + 3*b**3. Factor a(l).
-3*(l - 2)**2*(l + 1)
Let u(z) = -12*z**3 - 56*z**2 - 107*z + 97. Let a(p) = -10*p**3 - 56*p**2 - 108*p + 98. Let k(n) = 3*a(n) - 2*u(n). Factor k(w).
-2*(w + 5)**2*(3*w - 2)
Suppose -4*x = 8, 16*q - 18*q + 10 = -2*x. Factor 0 + 0*a + 2/7*a**4 - 2/7*a**2 + 0*a**q.
2*a**2*(a - 1)*(a + 1)/7
Let y = -437 + 4811/11. Factor -4/11*a**2 + y - 6/11*a.
-2*(a + 2)*(2*a - 1)/11
Let w(i) = -10*i**3 - 5*i**2 + 3*i + 5. Let h = -8 + 2. Let t(s) = 9*s**3 + 6*s**2 - 3*s - 6. Let p(z) = h*w(z) - 7*t(z). Factor p(a).
-3*(a - 1)*(a + 1)*(a + 4)
Let n(k) = k**3 + 3*k**2 - 4*k - 3. Let l be n(-2). Let h be (l + -4)/(-1 + 2). Let -4 + 0*g**2 + 6*g**2 + 3 - h*g**2 = 0. What is g?
-1, 1
Let n(u) be the first derivative of 3*u**5/5 + 23*u**4/2 - 35*u**3/3 - 23*u**2 + 32*u - 105. Let n(t) = 0. Calculate t.
-16, -1, 2/3, 1
Factor -22*i**2 + 162*i + 23*i**2 + 9604 + 34*i.
(i + 98)**2
Let w(s) be the third derivative of -s**5/2 + 103*s**4/12 + 14*s**3/3 + 2*s**2 + 304*s. Find u, given that w(u) = 0.
-2/15, 7
Let d(y) be the first derivative of 9*y**6 - 6*y**5/5 - 10*y**4 - 8*y**3/3 + 129. Let d(v) = 0. What is v?
-2/3, -2/9, 0, 1
Suppose -4*q - 25 = -3*r - 9, 4*q + 4*r + 44 = 0. Let w = -4 - q. Let -16*d**4 + 18*d**3 - 16*d**2 + 4*d**5 + d**w + 4*d + 5*d**3 = 0. What is d?
0, 1
Let v(r) = -7*r**3 + 9*r**2 + 13*r + 5. Let q be 3 + 3 + -5 + 4. Let y(d) = -4*d**3 + 4*d**2 + 6*d + 2. Let o(t) = q*y(t) - 2*v(t). Factor o(i).
-2*i*(i - 1)*(3*i + 2)
Let u(k) = 2*k**4 - k**3 - k**2 - k - 2. Let h(o) = 11*o**4 + 2*o**3 - 28*o**2 - 4*o - 8. Let b(v) = h(v) - 4*u(v). Solve b(j) = 0 for j.
-4, 0, 2
Let b = -156 + 142. Let a be ((-360)/b - -5) + -3. Find t such that -88/7*t - a*t**3 + 16/7 - 18/7*t**5 + 188/7*t**2 + 96/7*t**4 = 0.
2/3, 1, 2
Suppose -2 = -16*j + 5 + 25. Determine o, given that -16/7*o + 4/7*o**j + 12/7 = 0.
1, 3
Let p(w) be the first derivative of -w**4/14 - 16*w**3/21 + w**2/7 + 16*w/7 - 31. Factor p(k).
-2*(k - 1)*(k + 1)*(k + 8)/7
Let d(c) be the first derivative of c**7/945 + c**6/108 + c**5/30 + 7*c**4/108 + 2*c**3/27 + 2*c**2 + 4. Let j(p) be the second derivative of d(p). Factor j(n).
2*(n + 1)**3*(n + 2)/9
Let r(n) be the second derivative of -n**5/45 - 44*n**4/27 - 350*n**3/9 - 196*n**2 - 111*n. Factor r(h).
-4*(h + 2)*(h + 21)**2/9
Let y = 73 - 1531/21. Let r(t) be the second derivative of 1/35*t**5 + 0*t**2 + y*t**3 - 7*t + 0 - 2/21*t**4. Factor r(b).
4*b*(b - 1)**2/7
Let a(g) be the second derivative of g**7/70 + 51*g**6/50 + 1011*g**5/50 + 287*g**4/10 - 135*g**3/2 - 375*g**2/2 - 326*g. Solve a(n) = 0 for n.
-25, -1, 1
Let 24*i**4 - 187*i**5 + 174*i**5 + 4*i - 3*i + i + 17*i**3 - 6*i - 24*i**2 = 0. What is i?
-1, -2/13, 0, 1, 2
Let k(j) = j**2 - 6*j - 85. Let b be k(13). Let n(u) be the first derivative of b - 1/4*u + 1/4*u**2 - 1/12*u**3. Solve n(i) = 0.
1
Let z = 0 - -6. Suppose -j = -z*j - 30. Let l(i) = -30*i**3 - 31*i**2 - i + 13. Let q(g) = -15*g**3 - 15*g**2 + 6. Let m(o) = j*l(o) + 13*q(o). Factor m(n).
-3*n*(n + 1)*(5*n - 2)
Solve 4/3 - 7/9*c + 7/9*c**3 - 11/9*c**2 - 1/9*c**4 = 0.
-1, 1, 3, 4
Determine i, given that 3*i**4 + 2*i**4 - 9*i**4 - 34*i**2 - 330*i**2 + 72*i**3 + 40*i**2 = 0.
0, 9
Let t = -575 - -577. Let 1/2*u**t + 0 + 0*u = 0. Calculate u.
0
Let j(c) = -9*c**2 + 15*c - 6. Let k(x) = -x**3 - 17*x**2 + 30*x - 12. Let y(i) = -7*j(i) + 3*k(i). Solve y(v) = 0.
1, 2
Let h(u) = 12*u**2 - 6*u - 2. Let g(x) be the second derivative of -23*x**4/12 + 13*x**3/6 + 3*x**2/2 - 5*x. Let y(j) = -4*g(j) - 7*h(j). Factor y(k).
2*(k - 1)*(4*k - 1)
Let k(i) be the third derivative of -i**5/10 - 5*i**4/8 + 21*i**3 + 60*i**2. Factor k(j).
-3*(j + 6)*(2*j - 7)
Let t(p) be the second derivative of -p**7/21 - p**6/5 - 656*p. Determine i, given that t(i) = 0.
-3, 0
Let y(u) = u**2 + 10*u + 7. Let r be y(-10). Suppose r*o = 8*o. Find s, given that o*s**2 - 1/4 - 1/2*s + 1/2*s**3 + 1/4*s**4 = 0.
-1, 1
Let j(y) be the second derivative of y**5/4 + 5*y**4/6 - 25*y**3/6 - 15*y**2 + 80*y. Factor j(x).
5*(x - 2)*(x + 1)*(x + 3)
Let a = -85 + 83. Let y be -5 - a - 65/(-15). Factor -16/9 + 2/9*c**3 - y*c**2 + 8/3*c.
2*(c - 2)**3/9
Let v be ((-70)/28)/((-1)/2*1). Let f(n) be the third derivative of 0*n - n**3 + 0 - 6*n**2 - 1/8*n**4 - 1/20*n**6 + 1/4*n**v. Factor f(w).
-3*(w - 2)*(w - 1)*(2*w + 1)
Let n(x) = 116*x**2 - 219*x - 21. Let v(h) = 58*h**2 - 110*h - 10. Let z(g) = -2*n(g) + 5*v(g). Factor z(s).
2*(s - 2)*(29*s + 2)
Let u(d) = 45*d + 497. Let z be u(-11). Let i(w) be the first derivative of 2 - 32/27*w**3 + 14/45*w**5 + 4/9*w**z + 5/18*w**4 + 0*w. Solve i(c) = 0 for c.
-2, 0, 2/7, 1
Find g, given that 124/13*g - 118/13*g**2 + 240/13 - 2/13*g**3 = 0.
-60, -1, 2
Suppose -13 = -3*o + q, -2*o - q + 5 = o. Let i = -3/91 + 646/273. Find l, given that -4/3*l - 16/3*l**2 + 0 - i*l**o = 0.
-2, -2/7, 0
Let p(m) be the first derivative of 1/14*m**4 - 2/3*m**3 - 10/7*m + 11/7*m**2 - 9. Factor p(j).
2*(j - 5)*(j - 1)**2/7
Let w(f) be the first derivative of -1/18*f**4 + 0*f**2 - 4/27*f**3 + 0*f + 2/45*f**5 + 4. Determine v so that w(v) = 0.
-1, 0, 2
Let l(f) be the first derivative of -f**4/2 - 10*f**3 + 112. What is i in l(i) = 0?
-15, 0
Let x(p) be the second derivative of 0 + 5/12*p**4 + 10/3*p**2 - 10*p + 65/18*p**3. Factor x(j).
5*(j + 4)*(3*j + 1)/3
Let y be (30 - 32) + (0 - -2). Let k(g) be the third derivative of 0 - 1/4*g**4 + y*g - 3/20*g**5 - 1/6*g**3 + 5*g**2. Factor k(u).
-(3*u + 1)**2
Let d = -28 + 58. Let v(q) = -q + 1. Let o(f) = f**2 + 9*f - 6. Let w(s) = d*v(s) + 5*o(s). Solve w(g) = 0.
-3, 0
Let d = 87 + -88. Let u(p) = -p**3 + p**2 - p. Let g(i) = 4*i**3 - 3*i**2 + 2. Let c(h) = d*g(h) - 3*u(h). What is q in c(q) = 0?
-2, 1
Let z = -77 + 79. Suppose 2 - 2*p + 4*p**2 - z*p**2 - 5 - 1 = 0. Calculate p.
-1, 2
Let b(y) be the second derivative of -3*y**5/140 + 9*y**4/28 + 6*y**3/7 - 30*y**2/7 - 81*y. Determine x, given that b(x) = 0.
-2, 1, 10
Let k be 1068/(-24)*(4 - 2). Let c = k + 89. What is i in 0 - 2/13*i**2 + c*i - 2/13*i**3 = 0?
-1, 0
Let a be (-1 + 2)*0*4/24. Factor a*v + 0*v - v + v**2.
v*(v - 1)
Let s(b) be the second derivative of b**4/54 - 4*b**3/9 + 126*b. Factor s(m).
2*m*(m - 12)/9
Let l(j) be the second derivative of 0 + 1/9*j**2 + 4/27*j**3 - 7*j + 5/54*j**4 + 1/45*j**5. Factor l(d).
2*(d + 1)**2*(2*d + 1)/9
Let v = 605 + -605. Suppose 0*y - 13/10*y**4 - 2/5*y**2 + v + 3/10*y**5 + 8/5*y**3 = 0. Calculate y.
0, 1/3, 2
Let l be (162 - 163)/((-1)/4). Let s(t) be the first derivative of t**4 + 5 + l*t**3 + 0*t - 12/5*t**5 - 4*t**2 + 2/3*t**6. Factor s(k).
4*k*(k - 2)*(k - 1)**2*(k + 1)
Let l(n) be the first derivative of -n**5/3 - 3*n**4/2 - 19*n**3/9 - n**2 - 218. Solve l(y) = 0 for y.
-2, -1, -3/5, 0
Let b(x) be the third derivative of -x**6/120 + x**5/2 - 25*x**4/2 + 500*x**3/3 - 3*x**2 + 29*x. Let b(u) = 0. Calculate u.
10
Factor -168 + 4*d**2 - 16*d + 168 - 164*d.
4*d*(d - 45)
Let r = 122 - 109. Suppose -r*f = -6*f - 14. Find i, given that -64/3*i**4 + 11/3*i**2 + 0 + f*i**3 - 32/3