 + 6. Let s(a) = n*c(a) + v(a). Factor s(u).
-5*u*(7*u - 2)**2
Let -10/11*d + 2/11*d**5 - 4/11*d**4 - 28/11*d**2 + 0 - 24/11*d**3 = 0. What is d?
-1, 0, 5
Factor 192*t**3 - 152*t**4 - 155*t**4 - 256*t**2 + 4*t**5 + 259*t**4.
4*t**2*(t - 4)**3
Suppose -10 + 6 = -2*u. Let q(h) be the first derivative of 0*h**3 + 2/35*h**5 + 1/7*h**4 + 0*h - 2 + 0*h**u. Factor q(p).
2*p**3*(p + 2)/7
Let h(a) be the first derivative of -5*a + 2 - 1/4*a**2 - 3/16*a**4 + 11/24*a**3. Let m(i) be the first derivative of h(i). Factor m(u).
-(u - 1)*(9*u - 2)/4
Let i(p) be the third derivative of p**5/80 + p**4/32 + 20*p**2 - 2*p. Factor i(v).
3*v*(v + 1)/4
Solve -4*d**3 - 6*d**5 + 0*d**5 - 9*d**3 + 6*d**4 + 9*d**3 + 4*d**5 = 0 for d.
0, 1, 2
Let v(o) be the third derivative of o**8/48 - 61*o**7/210 + 43*o**6/40 - 91*o**5/60 + o**4/6 + 2*o**3 - 122*o**2 - 2. Suppose v(d) = 0. Calculate d.
-2/7, 1, 6
Determine i so that -2/5*i**3 + 6*i**2 + 144/5*i + 152/5 = 0.
-2, 19
Let f(l) = -11*l**2 - l - 2. Let z be f(-1). Let h = 17 + z. Find k, given that 44*k + 8*k**3 + 20*k**2 - h*k**2 - 5*k**4 - 18*k**3 + 20 - 4*k = 0.
-2, -1, 2
Let g(w) be the first derivative of 2/39*w**3 - 24 + 50/13*w + 10/13*w**2. Let g(b) = 0. What is b?
-5
Suppose 3*n - 21 = -j, 0*j + n = -3*j + 103. Let x be ((-6)/8)/((-3)/j). Suppose -40*a**3 + 20*a + 80*a**2 + 5*a**4 - x*a - 11*a = 0. What is a?
0, 4
Find i, given that -4*i + 15*i**5 - 6*i**2 - 8*i + 27*i**2 - 21*i**4 - 9*i**3 + 6*i = 0.
-1, 0, 2/5, 1
Factor 4*r - 25*r + 2*r**2 + 7*r**2 + 1098 - 1116.
3*(r - 3)*(3*r + 2)
Factor 2/13*l**2 + 8/13*l - 24/13.
2*(l - 2)*(l + 6)/13
Let g(i) be the first derivative of -i**5/15 + i**4/12 + 2*i**3/3 - 2*i**2/3 - 8*i/3 - 39. Factor g(o).
-(o - 2)**2*(o + 1)*(o + 2)/3
Suppose -33*c + 632 - 566 = 0. Let 0*p - 3/2*p**4 + 0*p**3 + 3/2*p**c + 0 = 0. Calculate p.
-1, 0, 1
Let m(z) = -35*z**3 - 672*z**2 - 176*z + 444. Let p(o) = 12*o**3 + 224*o**2 + 58*o - 148. Let t(s) = 6*m(s) + 17*p(s). Factor t(y).
-2*(y + 1)*(y + 37)*(3*y - 2)
Let j(p) be the third derivative of p**7/490 + 3*p**6/280 - p**5/14 - 3*p**4/7 - 158*p**2. Factor j(w).
3*w*(w - 3)*(w + 2)*(w + 4)/7
What is n in 473*n + 0*n**3 - 114*n**2 - 14 - 202 - 77*n + 9*n**3 = 0?
2/3, 6
Let o(d) be the first derivative of d**6/24 - d**5/3 + 5*d**4/8 - 3*d**2 - 4. Let l(p) be the second derivative of o(p). Find s such that l(s) = 0.
0, 1, 3
Let x(i) = -i**3 - 16*i**2 - 27*i + 16. Let m be x(-14). Factor m + 20*w**3 + 10*w**3 + 9*w**3 - 3*w - 27*w**2 - 11*w**3.
(w - 1)*(4*w - 1)*(7*w + 2)
Let n(w) be the second derivative of w**7/14 - w**6/10 - 3*w**5/10 + w**4/2 + w**3/2 - 3*w**2/2 - 3*w - 38. Factor n(u).
3*(u - 1)**3*(u + 1)**2
Let s(o) be the third derivative of o**7/630 - o**6/45 + 2*o**5/15 - 5*o**4/12 + 2*o**2. Let i(p) be the second derivative of s(p). Factor i(t).
4*(t - 2)**2
Let j(a) = -5*a**3 - 75*a**2 + 42*a + 636. Let y be j(-15). Determine x so that -198*x + y + 3267/2*x**2 = 0.
2/33
Let a be (-1994)/(-6)*(-1)/(-3). Let b = 111 - a. Factor -b - 4/9*g - 2/9*g**2.
-2*(g + 1)**2/9
Let v(t) be the third derivative of 18*t**2 + 0*t - 5/2*t**3 + 0 + 1/4*t**5 - 5/3*t**4. Factor v(k).
5*(k - 3)*(3*k + 1)
Let w(y) be the second derivative of -y**6/15 - 21*y**5/10 + 23*y**4/3 - 496*y. What is o in w(o) = 0?
-23, 0, 2
Let d(z) be the second derivative of z**6/30 - 9*z**5/40 + z**4/24 + 7*z**3/4 + 9*z**2/4 - 155*z. Find b, given that d(b) = 0.
-1, -1/2, 3
Let w(d) be the second derivative of 18*d**2 + 0 + 1/3*d**4 - 4*d**3 + d. Find j, given that w(j) = 0.
3
Factor -8*g**2 + 14*g + 2/3*g**3 - 20/3.
2*(g - 10)*(g - 1)**2/3
Let o(j) be the second derivative of 0*j**2 - 13*j + 0 - 1/12*j**3 + 5/48*j**4 - 3/80*j**5. Find y, given that o(y) = 0.
0, 2/3, 1
Factor 29*r**4 + 6 + 3 + 2*r**5 + 101*r**3 + 51*r - 2*r**4 + 95*r**2 + 1 - 22*r**3.
(r + 1)**3*(r + 10)*(2*r + 1)
Factor -5 - 89*r**2 + 151*r**2 + 18*r - 6*r**3 + 33 - 102*r**2.
-2*(r - 1)*(r + 7)*(3*r + 2)
Let y(l) be the first derivative of -l**7/14 + 7*l**6/10 - 27*l**5/10 + 5*l**4 - 4*l**3 + 8*l + 6. Let k(g) be the first derivative of y(g). Factor k(b).
-3*b*(b - 2)**3*(b - 1)
Let k(w) = 5*w**3 + 4*w**2 - 5*w - 4. Let a(v) = 6*v**3 + 5*v**2 - 6*v - 5. Suppose -15 = -3*n + 6. Let i(o) = n*k(o) - 6*a(o). Factor i(j).
-(j - 1)*(j + 1)*(j + 2)
Let v(d) = d**2 + 6*d + 10. Let p be v(-4). Let t(u) = -2*u**3 - 3*u**2 - u - 2. Let k be t(-2). Find j, given that 2*j**2 + p - 2 + k*j = 0.
-2, 0
Solve -c**2 + 5/4*c**3 + 0 - 5*c + 1/4*c**4 = 0.
-5, -2, 0, 2
Let z(f) be the second derivative of f**5/30 - f**4/3 - f**3/9 + 2*f**2 - f + 2. Factor z(u).
2*(u - 6)*(u - 1)*(u + 1)/3
Let y be (-8)/(-6)*((-9)/6)/(-1). Factor -6*r**3 - 506*r**2 - y*r**3 + 500*r**2 + 2*r.
-2*r*(r + 1)*(4*r - 1)
Let p(u) = -20*u**2 - 320*u - 68. Let s(i) = i**2 - i - 3. Let r(v) = -p(v) - 4*s(v). Suppose r(q) = 0. What is q?
-20, -1/4
Let g be -4 - (6/(-20))/(14/196). Let n(a) be the first derivative of 0*a - 7 - 2/5*a**2 - g*a**4 - 8/15*a**3. Factor n(w).
-4*w*(w + 1)**2/5
Determine a so that -81/7*a**4 + 1935/7*a + 1758/7*a**2 + 414/7*a**3 + 675/7 + 3/7*a**5 = 0.
-1, 15
What is v in 4/3*v**2 - 16/3*v + 4 = 0?
1, 3
Let w(f) be the second derivative of -11*f + 0 + 1/6*f**3 + 0*f**6 + 0*f**4 + 1/42*f**7 - 1/10*f**5 + 0*f**2. Factor w(d).
d*(d - 1)**2*(d + 1)**2
Let w(y) be the third derivative of -y**8/28 - 3*y**7/70 + y**6/40 - 84*y**2. Solve w(q) = 0 for q.
-1, 0, 1/4
Let b(j) be the third derivative of -j**6/320 + j**5/160 + j**4/4 - j**3 - 993*j**2. Determine y so that b(y) = 0.
-4, 1, 4
Let a(f) be the second derivative of -3*f**7/98 - 2*f**6/35 + 33*f**5/140 + 4*f**4/7 + 2*f**3/7 - 65*f. Find u such that a(u) = 0.
-2, -1, -1/3, 0, 2
Factor 13*v**2 + 121 - v**2 - 8*v**2 - 188*v + 63.
4*(v - 46)*(v - 1)
Let f(t) be the first derivative of 3*t - 2*t**2 - 4 + 1/3*t**3. Let a(o) = -9*o**2 + 39*o - 30. Let x(r) = -2*a(r) - 21*f(r). Factor x(s).
-3*(s - 1)**2
Let z(b) be the third derivative of -9*b**7/140 + 21*b**6/80 + b**5/20 - 5*b**4/4 + 2*b**3 + 4*b**2 - 5*b. Solve z(n) = 0 for n.
-1, 2/3, 2
Let m(t) be the third derivative of -3*t**2 + 1/30*t**5 + 4*t - 1/20*t**6 + 1/4*t**4 - 2/3*t**3 + 0 + 1/105*t**7. Factor m(u).
2*(u - 2)*(u - 1)**2*(u + 1)
Let p(y) be the third derivative of 0 + 1/120*y**5 + y**2 + 7/48*y**4 + 0*y + 1/2*y**3. Let p(d) = 0. What is d?
-6, -1
Let h be ((-1)/2)/((-9)/90). Let y(x) be the second derivative of 0*x**2 + 1/15*x**6 + 0 + 5/6*x**4 + 3*x - 2/3*x**3 - 2/5*x**h. Factor y(k).
2*k*(k - 2)*(k - 1)**2
Factor -38*l + 2*l**2 + 25*l - 23*l + l**2 + 3*l**3.
3*l*(l - 3)*(l + 4)
Let k be 235/(-47) + (-16)/(-2). Factor -2/5 + 3/5*c + 12/5*c**2 + 7/5*c**k.
(c + 1)**2*(7*c - 2)/5
Suppose -4*l - 4*o + 164 + 112 = 0, 5*l - 5*o = 355. Let r be ((-7)/l)/((-2)/48). Find i such that r*i**2 - 7/5*i**3 + 0 + 4/5*i = 0.
-2/7, 0, 2
Let v = -3442 + 3447. What is s in -4*s + 0 - 3/2*s**4 + v*s**3 - 2*s**2 = 0?
-2/3, 0, 2
Let z(h) be the third derivative of -h**7/840 + h**6/24 - 3*h**5/5 + 9*h**4/2 - 18*h**3 - 34*h**2 + 3. Factor z(a).
-(a - 6)**3*(a - 2)/4
Let n(w) = w**3 - 4*w**2 - 3*w - 8. Let g be n(5). Let o be g + (-3)/(3/2) - -2. Factor 0*r + 2 - 1/2*r**o.
-(r - 2)*(r + 2)/2
Suppose -2*j = -3*r + 3, -7*r + 5*r + 2 = -3*j. Let s be 216/24*r/3. Factor -3/5*z + 0 + 0*z**2 + 3/5*z**s.
3*z*(z - 1)*(z + 1)/5
Factor 9/2*x**2 - 3/8*x**3 + 9 - 105/8*x.
-3*(x - 8)*(x - 3)*(x - 1)/8
Let k(s) be the third derivative of s**2 - 1/120*s**5 + 0*s + 1/48*s**4 + 0 + 0*s**3. Factor k(i).
-i*(i - 1)/2
Determine u so that 4*u + 5*u**2 - 16 - 22*u**3 + 3*u**2 + 2*u**2 + 24*u**3 = 0.
-4, -2, 1
Let q(c) = 21*c - 21*c**2 - 8 - 31*c**3 - 10 + 32*c**3. Let x be q(20). Determine m, given that -4/7*m - 2/7*m**x - 2/7 = 0.
-1
Let r(z) = -17*z**2 + 17. Let m(w) = -9*w**2 + 9. Let j = 72 + -66. Let f(d) = j*r(d) - 11*m(d). Factor f(q).
-3*(q - 1)*(q + 1)
Let g(x) = -x**5 - x**3 - x - 1. Let f(w) = -5*w**5 - 3*w**4 + 18*w**3 - 38*w**2 + 23*w - 11. Let h(z) = f(z) - 4*g(z). Factor h(s).
-(s - 1)**4*(s + 7)
Let j(g) be the second derivative of -3*g**6/10 + 31*g**5/20 - g**4 - 6*g**3 + 8*g**2 - 92*g. Let j(h) = 0. What is h?
-1, 4/9, 2
Solve -1/5*t + 1/5*t**3 + 0 + 1/5*t**4 - 1/5*t**2 = 0 for t.
-1, 0, 1
Suppose -2*o - 11802 = -9*o. Factor -2*r**4 - 4*r**3 + 1686 - o - 2