2 - 15*w - 3. Let c(m) = l*v(m) - 9*d(m). Factor c(n).
-3*(n + 1)**2
Suppose -3*q + 4*x + 12 = 0, 7*q + 9 = 4*q - 3*x. Suppose -3/4*l**4 + 9/4*l**3 + 15/4*l**2 + 3/2*l + q - 3/4*l**5 = 0. Calculate l.
-1, 0, 2
Let o(a) = -3*a**2 + 11*a - 1. Let u(s) = -8*s + 2*s**2 + 0*s - 3*s + s. Let j(p) = -4*o(p) - 5*u(p). Determine b so that j(b) = 0.
-2, -1
Let n = 107/35 + -20/7. Find h, given that -2/5*h**2 + 0 + 1/5*h + n*h**3 = 0.
0, 1
Let l(a) = -a**2 + 124. Let q be l(0). Let -4*b**2 - 30*b**5 - 31*b**5 + 13*b**5 - q*b**4 - 4*b - 32*b**2 - 108*b**3 = 0. What is b?
-1, -1/3, -1/4, 0
Let m be 1*(-1)/1 + 5. Let 0*l**4 + 0*l**m + l**4 + 6*l**2 + 9*l**3 + 2*l**4 = 0. What is l?
-2, -1, 0
Let a(y) be the first derivative of 5*y**4/4 - 5*y**3 + 15*y**2/2 - 5*y - 10. Find d, given that a(d) = 0.
1
Let y(c) be the third derivative of c**7/2520 + c**6/720 - c**5/180 - c**4/144 + c**3/24 - 23*c**2. Factor y(q).
(q - 1)**2*(q + 1)*(q + 3)/12
Let q be ((-3)/(-10))/((-6)/(-4)). Determine p so that 2/5*p**2 + 6/5*p**3 - 3/5*p - 1/5 - q*p**4 - 3/5*p**5 = 0.
-1, -1/3, 1
Let c(p) be the second derivative of p**7/2520 - p**5/120 - p**4/12 - p. Let a(z) be the third derivative of c(z). What is v in a(v) = 0?
-1, 1
Factor 7*x**3 - x**4 - 11*x**3 + 2*x**2 - x**2 - 4*x**2.
-x**2*(x + 1)*(x + 3)
Let j(q) = -q**3 - 4*q**2 - q - 4. Let p be j(-3). Let x be (-4)/p*35/7. Determine v so that 8/3*v**x - 2/3*v**3 - 8/3*v**4 + 2/3*v + 0 = 0.
-1, -1/4, 0, 1
Let r = 10/149 - 3011/2682. Let q = r - -14/9. Let q*k**5 - 1/2*k + k**4 + 0*k**3 + 0 - k**2 = 0. Calculate k.
-1, 0, 1
Let n(v) = 2*v - 7. Let d be n(5). Suppose -b**d - 3*b**2 + 0*b + 2*b**2 + 0*b = 0. Calculate b.
-1, 0
Let c = 5/101 + 783/505. Determine w, given that -1/5*w**4 + c*w + 6/5*w**3 + 0 - 12/5*w**2 = 0.
0, 2
Factor 0*q + 0*q**2 + 8/5*q**3 - 98/5*q**5 + 0 + 0*q**4.
-2*q**3*(7*q - 2)*(7*q + 2)/5
Let w(n) = -5*n - 9. Let z be w(-3). Let r(s) be the third derivative of 1/50*s**5 + 0*s**3 - 1/60*s**4 + 0 + 0*s - s**2 - 1/100*s**z + 1/525*s**7. Factor r(g).
2*g*(g - 1)**3/5
Let j(c) = 4*c**2. Let i = -2 - 0. Let u(w) = w**3 + 5*w**2. Let z(n) = -n**2 + 3. Let b be z(0). Let y(p) = b*j(p) + i*u(p). Solve y(f) = 0.
0, 1
Determine k, given that -8/11 + 10/11*k - 2/11*k**2 = 0.
1, 4
Suppose -3*i = -c + 12, 2*c - 30 = -3*c + 5*i. Suppose c*z + z - 26 = -3*s, 3*z = 4*s + 7. Factor 0*q**s + 3/2*q + 1 - 1/2*q**3.
-(q - 2)*(q + 1)**2/2
Let y(b) be the third derivative of b**6/210 + b**5/105 - b**4/42 - 2*b**3/21 - 13*b**2. Suppose y(w) = 0. What is w?
-1, 1
Let g(p) = -21*p**3 + 41*p**2 - 3*p + 5. Let q = 3 + -1. Let c(u) = 10*u**3 - 20*u**2 + 2*u - 2. Let h(o) = q*g(o) + 5*c(o). Let h(a) = 0. Calculate a.
0, 1/4, 2
Let i(p) be the first derivative of -2*p**3/45 + 4*p**2/15 - 8*p/15 - 16. Factor i(t).
-2*(t - 2)**2/15
Let p(l) = 5*l**3 + 10*l**2 + 5*l. Let c(d) = 16*d**3 + 31*d**2 + 16*d + 1. Let r(q) = -2*c(q) + 7*p(q). Suppose r(x) = 0. Calculate x.
-2, -1, 1/3
Let i(o) be the third derivative of o**8/336 - o**7/525 - o**6/60 + o**5/75 + o**4/24 - o**3/15 - o**2. Suppose i(t) = 0. What is t?
-1, 2/5, 1
Let o(g) be the second derivative of 3*g**4/8 - g**3/6 + 2*g. Determine i, given that o(i) = 0.
0, 2/9
Suppose 4*v - 135 = -v. Suppose -3*y + v = 21. Factor -2/5*c - 2/5*c**y + 0.
-2*c*(c + 1)/5
Let x be 27/6*(-12)/(-81)*3. Find j, given that 0*j**x + 2/3*j**3 + 2/3*j**5 + 0*j - 4/3*j**4 + 0 = 0.
0, 1
Let x be (-1)/2 + 145/30. Let o = 55/12 - x. Factor 1/4*i**3 + 1/4*i**2 + 0 - 1/4*i**4 - o*i.
-i*(i - 1)**2*(i + 1)/4
Let d(f) be the first derivative of -f**6/360 - f**3 - 5. Let q(u) be the third derivative of d(u). Let q(a) = 0. Calculate a.
0
Let y(j) be the first derivative of 1/3*j**3 + 1 - 4*j + 0*j**2 - 1/12*j**4. Let c(t) be the first derivative of y(t). Suppose c(x) = 0. Calculate x.
0, 2
Let m(d) be the second derivative of 0*d**2 + 1/12*d**3 - 1/60*d**6 + 0 - 1/40*d**5 + 1/24*d**4 - d. Factor m(w).
-w*(w - 1)*(w + 1)**2/2
Let t(b) = -2*b - 6. Let g be t(-4). Let u = 11 + -7. Let n**2 + g*n + 4*n**2 + 6*n**3 + n**2 + 2*n**u = 0. What is n?
-1, 0
Let n = -4 + -5. Let d be (5 - 6) + n/(-5). Factor -d*i - 2/5*i**2 + 0.
-2*i*(i + 2)/5
Let u(w) be the third derivative of 0*w + 2*w**2 + 1/15*w**3 + 1/50*w**5 - 1/300*w**6 - 1/20*w**4 + 0. Find f such that u(f) = 0.
1
Let u be (10 - 2)*9/12. Let z(q) = q**3 - 5*q**2 - 6*q + 2. Let j be z(u). Determine o so that 2/9*o**j + 4/9*o + 2/9 = 0.
-1
Let j(u) be the second derivative of -u**9/52920 + u**8/7840 - u**7/2940 + u**6/2520 + u**4/12 + 6*u. Let b(h) be the third derivative of j(h). Factor b(i).
-2*i*(i - 1)**3/7
Let w(q) = q**4 + 1. Let r(y) = 4*y**2. Let f(u) = r(u) - 2*w(u). Solve f(m) = 0 for m.
-1, 1
Let u = -255/2 - -1281/10. Factor 0*l + u - 3/5*l**2.
-3*(l - 1)*(l + 1)/5
Suppose 0 = 4*n + 101 - 17. Let y = -21 - n. Factor 3/4*v**5 + y + 3/4*v**3 - 3/4*v**2 + 7/4*v**4 - 1/2*v.
v*(v + 1)**3*(3*v - 2)/4
Factor 3/2*u + 3/2*u**3 - 3*u**2 + 0.
3*u*(u - 1)**2/2
Let k(y) be the second derivative of -2/3*y**4 + 2*y + 0 - 2/5*y**5 + 0*y**2 + 1/5*y**6 + 0*y**3. What is u in k(u) = 0?
-2/3, 0, 2
Suppose b - 3 = -1. Find r, given that 8*r**2 + 9*r - 4 + r - b*r**2 = 0.
-2, 1/3
Let w = 15347/921 - -1/307. Let 0 + 0*q - 28/3*q**5 - 26/3*q**3 + w*q**4 + 4/3*q**2 = 0. Calculate q.
0, 2/7, 1/2, 1
Let z be (1/(-1))/((1/(-2))/1). Factor 2/7*w**4 + 2/7 + 0*w**3 - 4/7*w**z + 0*w.
2*(w - 1)**2*(w + 1)**2/7
Let p(w) be the second derivative of 1/3*w**3 - 1/10*w**5 + 1/6*w**4 + 0 + 0*w**2 - 1/15*w**6 + 3*w. Suppose p(j) = 0. What is j?
-1, 0, 1
Let i be -3 - (-2)/52*98. Factor -8/13*u**2 + 0*u + 0 + 2/13*u**5 + 16/13*u**3 - i*u**4.
2*u**2*(u - 2)**2*(u - 1)/13
Let -3*m - 70*m**3 - 46*m**2 - 8*m**4 - m + 15*m + 5*m = 0. Calculate m.
-8, -1, 0, 1/4
Let u(p) be the third derivative of p**8/840 + p**7/105 + 3*p**6/100 + 7*p**5/150 + p**4/30 - p**2. Suppose u(b) = 0. What is b?
-2, -1, 0
Factor -2*b**2 + 3*b + 6*b**2 - 7 + 1 - b**2.
3*(b - 1)*(b + 2)
Let n(k) be the first derivative of -k**4/14 + 2*k**3/7 - 3*k**2/7 + 2*k/7 - 2. Let n(v) = 0. What is v?
1
Factor 4*o + 3*o**3 + 0*o**3 - 5*o**3 - 2*o**3 + 16*o**2 - 16*o**4.
-4*o*(o - 1)*(o + 1)*(4*o + 1)
Let b = 85/342 + -1/38. Factor -b*c**3 + 2/9*c**5 + 2/9*c**2 - 2/9*c**4 + 0*c + 0.
2*c**2*(c - 1)**2*(c + 1)/9
Let j(h) be the first derivative of 0*h**3 + 3/8*h**4 - 1 + 0*h - 1/10*h**5 - h**2. Factor j(v).
-v*(v - 2)**2*(v + 1)/2
Let h(i) be the second derivative of -i**2/2 - i. Let x(u) = -3*u**2 + 3*u - 2. Let s = -93 - -95. Let l(j) = s*h(j) - x(j). Determine w, given that l(w) = 0.
0, 1
Factor w**2 - 4 + 11*w**2 - 4*w**4 + 8*w**3 + 4.
-4*w**2*(w - 3)*(w + 1)
Suppose 1 = 5*j + 16. Let r be (-2)/j - (-2)/(-3). Let z**3 + 3/2*z**4 + 0 + 0*z**2 + r*z = 0. Calculate z.
-2/3, 0
Let g(j) = 2*j**4 - 2*j**3 + 6*j**2 - 6. Let m(c) = 5*c**4 - 7*c**3 + 17*c**2 - 17. Let k(n) = -17*g(n) + 6*m(n). What is z in k(z) = 0?
-2, 0
Let f(h) = 7*h + 1. Let s(g) = -g + 1. Let j(a) = -f(a) - 6*s(a). Let z be j(-9). Factor 1/3 + 1/3*n**z - 2/3*n.
(n - 1)**2/3
Let g(i) be the first derivative of -2*i**3/15 - i**2/5 + 4*i/5 - 6. Solve g(x) = 0 for x.
-2, 1
Let k(i) = i**2 + 10*i + 4. Let o be k(-10). Let s(d) be the first derivative of 0*d + 2/9*d**3 + 3 - 1/6*d**o + 0*d**2. Let s(w) = 0. What is w?
0, 1
Let z be (-102)/8 + -1 + 0. Let s = z + 14. Factor 0*w + s*w**2 + 0 + 3/4*w**3 + 3/4*w**4 + 1/4*w**5.
w**2*(w + 1)**3/4
Let d be 3/2 - (80/(-12) - -8). Factor 0 - 1/6*n + d*n**3 + 0*n**2.
n*(n - 1)*(n + 1)/6
Factor 0 + 6*f**2 + 0*f - 24*f**3 + 21/2*f**4.
3*f**2*(f - 2)*(7*f - 2)/2
Let s(p) be the third derivative of p**5/120 - p**4/24 + p**3/12 + p**2. Find l, given that s(l) = 0.
1
Suppose d = 2*p - 6, -4*d + 9 = 1. Determine f so that f - 2*f**2 + p*f + 4 - 3*f = 0.
-1, 2
Let q(u) be the third derivative of -u**8/6720 + u**7/2520 + u**6/360 + u**4/8 + u**2. Let m(c) be the second derivative of q(c). Find b, given that m(b) = 0.
-1, 0, 2
Let z(q) = 2*q + 15. Let i be z(-6). Solve -1/5*y**2 + 0 + 1/5*y**i + 0*y = 0.
0, 1
Let g = 2090/7 - 298. Determine p so that 10/7*p**5 + 0*p**2 - 6/7*p**4 - g*p**3 + 0*p + 0 = 0.
-2/5, 0, 1
Let a = 3111/5 - 622. Find b, given that -1/5*b**3 + a + 3/5*b**2 - 3/5*b = 0.
1
Let i(f) be the first derivative of -f**5/10 + f - 2. Let d(n