ive of -w**5/10 - w**4/3 - w**3/3 - w**2/2 + 2*w. Let s(p) be the first derivative of z(p). Solve s(c) = 0.
-1, -1/3
Let c(m) be the first derivative of m**6/12 + m**5/2 + 9*m**4/8 + 7*m**3/6 + m**2/2 - 25. Let c(v) = 0. What is v?
-2, -1, 0
Suppose -4*s + 23 + 25 = 0. Determine o so that 80*o**3 - 50*o**4 - 16*o - 1 + 0*o**2 - 1 - s*o**2 = 0.
-1/5, 1
Let 11*y**5 - 5*y**2 + 5*y**4 - 5*y**3 - 7*y**5 + y**5 = 0. Calculate y.
-1, 0, 1
Suppose u + 1 = 4. Let c(k) be the third derivative of 0 - 1/54*k**5 + u*k**2 - 1/108*k**4 - 1/180*k**6 + 0*k + 1/27*k**3. Find f such that c(f) = 0.
-1, 1/3
Let r(p) = -4*p**2 + 8*p. Let j(m) = 3*m**2 - 7*m. Let v = 10 + -16. Let i(f) = v*j(f) - 5*r(f). Factor i(y).
2*y*(y + 1)
Let t(i) be the second derivative of i**7/5040 + i**6/720 + i**5/240 + i**4/3 - 3*i. Let l(r) be the third derivative of t(r). Factor l(g).
(g + 1)**2/2
Factor 1 + 1/4*o**2 - o.
(o - 2)**2/4
Let p(i) = -i**2 + 9*i + 13. Suppose -3*a - 4*j - 10 = -4*a, 0 = -j. Let h be p(a). Find w, given that -2/7*w**h - 2/7*w**2 + 2/7 + 2/7*w = 0.
-1, 1
Let u be 46/60 + (-6)/10. Let a(o) be the second derivative of 0*o**5 - 1/42*o**7 - 1/6*o**4 + o + 0 + 0*o**2 + 1/15*o**6 + u*o**3. Find m such that a(m) = 0.
-1, 0, 1
Let k be 2/(-5) + (3 - 2/(-5)). Let a(m) be the first derivative of 2/3*m**3 + k + 0*m**2 + 0*m. Find c, given that a(c) = 0.
0
Let x(g) = g**2 - g + 1. Let s(w) = 6*w**2 + 14*w - 22. Let j(u) = s(u) - 10*x(u). Factor j(q).
-4*(q - 4)*(q - 2)
Let p(y) = -3*y - 4. Let i be p(-4). Suppose 5*n - 2*n - n + 2*n - i*n**3 - 4*n**2 = 0. Calculate n.
-1, 0, 1/2
Let w be 1104/42 - (-2)/(-7). Let o = w + -24. Let -1/5*k**3 - 3/5*k - 1/5 - 3/5*k**o = 0. Calculate k.
-1
Factor -334 + 326 - 4*i**2 + 5*i - 17*i.
-4*(i + 1)*(i + 2)
Let w = -826/11 + 6407/55. Let m = w + -41. Solve m*o + 4/5*o**2 + 2/5*o**3 + 0 = 0 for o.
-1, 0
Suppose -2 = 2*a - 8. Let n(o) be the second derivative of -3*o + 1/21*o**4 + 0 + 0*o**2 - 1/21*o**a - 1/70*o**5. Factor n(u).
-2*u*(u - 1)**2/7
Let y(d) = 11*d**4 + 14*d**3 - 4*d**2 - 14*d - 5. Let h(w) = -12*w**4 - 15*w**3 + 3*w**2 + 15*w + 6. Let k(m) = -2*h(m) - 3*y(m). Suppose k(u) = 0. What is u?
-1, -1/3, 1
Let t(v) = -2*v - 6. Let g be t(-3). Determine w so that 3*w**2 + g + 3 - 3 = 0.
0
Let m(g) be the first derivative of g**5/12 + 3*g**4/16 + g**3/6 - 5*g**2/2 + 1. Let j(h) be the second derivative of m(h). Let j(v) = 0. What is v?
-1/2, -2/5
Let a = 20 + -12. Let s = 8 - a. Factor s*z**2 - 1/4*z + 1/4*z**3 + 0.
z*(z - 1)*(z + 1)/4
Let d(x) be the third derivative of x**6/280 - x**5/70 - x**4/14 + 4*x**3/7 + 18*x**2. Factor d(k).
3*(k - 2)**2*(k + 2)/7
Let u(l) be the first derivative of 4*l**7/7 - 13*l**6/10 + 9*l**5/10 + l**4/8 - l**3/2 - l**2 + 4. Let r(h) be the second derivative of u(h). Solve r(o) = 0.
-1/5, 1/2
Let b(p) be the second derivative of -p**7/8820 + p**6/840 - p**5/210 + 5*p**4/12 - 2*p. Let f(s) be the third derivative of b(s). Solve f(g) = 0 for g.
1, 2
Factor 0 + 4/13*j**2 + 18/13*j**3 + 14/13*j**4 + 0*j.
2*j**2*(j + 1)*(7*j + 2)/13
Let v(o) be the third derivative of o**6/60 - o**5/3 + 25*o**4/12 - 21*o**2. Factor v(p).
2*p*(p - 5)**2
Let v(l) be the third derivative of -1/15*l**5 + 0 + l**2 - 1/12*l**4 + 1/60*l**6 + 2/3*l**3 + 0*l. Find a such that v(a) = 0.
-1, 1, 2
Let q(n) = -n**2 - 3*n + 4. Let m(l) = -l - 4. Let v be m(0). Let c be q(v). Suppose c + 1/3*i**2 - 1/3*i + 1/3*i**3 - 1/3*i**4 = 0. Calculate i.
-1, 0, 1
Suppose -4*b + b + 12 = 0. Let v(f) be the second derivative of -b*f**2 + 0 - f + 2*f**3 - 1/2*f**4 + 1/20*f**5. Factor v(a).
(a - 2)**3
Let n = -12 - -27. Factor 3*k**2 - 4*k**5 - k**3 + k**2 + 12*k**4 - n*k**3 + 4*k**3.
-4*k**2*(k - 1)**3
Solve -4*l**2 - 1 + 6*l**2 - 4*l**4 + 3*l**4 = 0.
-1, 1
Let h(p) = 2*p**3 - 6*p**2 + 10*p + 2. Let i(n) = 2*n**3 - 6*n**2 + 9*n + 1. Let b(q) = 3*h(q) - 4*i(q). Determine g so that b(g) = 0.
1
Let q(b) = -b**3 + 8*b**2 - 8*b + 9. Let z be q(7). Let l be (-1)/z - 3/(-4). Factor 1/4*w**5 + 0 + w**4 + l*w + 3/2*w**3 + w**2.
w*(w + 1)**4/4
Let i(d) be the first derivative of -5 + 2/3*d**3 - 6*d + 2*d**2. Factor i(j).
2*(j - 1)*(j + 3)
Let g(y) be the second derivative of 3*y**5/40 - 5*y**4/8 + y**3 + 41*y. Factor g(k).
3*k*(k - 4)*(k - 1)/2
Let y(f) be the second derivative of -f**5/40 + f**4/4 - 3*f**3/4 + f**2 - 6*f. Factor y(g).
-(g - 4)*(g - 1)**2/2
Let m(g) be the third derivative of -g**7/42 + g**6/4 - g**5/12 - 5*g**4 - 40*g**3/3 - 15*g**2. Find c, given that m(c) = 0.
-1, 4
Let y(t) be the second derivative of t**5/20 - t**3/6 - t. Determine d, given that y(d) = 0.
-1, 0, 1
Let f be 18/8*(-84)/(-63). Let b(s) be the first derivative of -1/12*s**3 + 0*s - f + 0*s**2 - 3/20*s**5 + 1/24*s**6 + 3/16*s**4. Let b(j) = 0. What is j?
0, 1
What is m in 0 - 3/2*m + m**2 + 1/2*m**3 = 0?
-3, 0, 1
Let u(c) be the third derivative of 1/30*c**6 - 1/15*c**5 + 2/105*c**7 + 0*c**3 - 1/6*c**4 + 0 + 5*c**2 + 0*c. Solve u(y) = 0.
-1, 0, 1
Suppose -23 = -5*z + 4*w, 4*z - w = 3*w + 20. Suppose 2*c = -c - z*l - 9, -15 = -5*c + l. Let 2/3*n**4 - 2/3*n + 2*n**2 - c*n**3 + 0 = 0. What is n?
0, 1
Let m(s) be the first derivative of -s**4/26 + 4*s**3/13 - 9*s**2/13 + 8*s/13 + 20. Factor m(o).
-2*(o - 4)*(o - 1)**2/13
Factor 16*x**4 - 6*x**5 - 8*x**5 + 18*x**5 + 16*x**2 + 24*x**3 + 4*x.
4*x*(x + 1)**4
Let x be 3 + (125/(-18) - -4). Let d(k) be the second derivative of -x*k**4 + 0*k**2 + 1/27*k**3 + 0 + k. Find i, given that d(i) = 0.
0, 1/3
Let o = -481/3 - -163. Let g(x) be the first derivative of -o*x - 2 + 4/3*x**2 - 2/9*x**3. Factor g(i).
-2*(i - 2)**2/3
Let a(p) be the second derivative of p**4/6 + 4*p**3 + 36*p**2 + 16*p. Find v, given that a(v) = 0.
-6
Suppose 2*d = 5*a - 12, 4*a - 3*a + 5*d + 3 = 0. Let y be (1 - (-3 + 2)) + a. Factor 12*h**2 - 2*h + 6*h**3 - y + 8*h - 6*h**2 + 10*h**2.
2*(h + 1)*(h + 2)*(3*h - 1)
Let z(w) be the first derivative of 4*w**3/9 - w**2/2 - w/3 + 1. Determine y, given that z(y) = 0.
-1/4, 1
Let a(z) = 6*z**3 - 11*z**2. Let j(s) = -3*s**3 + 5*s**2. Let l(w) = -2*a(w) - 5*j(w). Let l(q) = 0. What is q?
0, 1
Let t be 1 + 1/((-120)/116). Let p(q) be the third derivative of 1/60*q**6 - t*q**5 + 0 + 1/3*q**3 + q**2 - 1/12*q**4 + 0*q. Let p(k) = 0. Calculate k.
-1, 1
Let r be 1/2 - (-1)/2. Let s(l) = 2*l**3 + l**2 - l + 1. Let w be s(r). Factor 3*k**2 - 3*k - w*k + 4*k - 4*k**2.
-k*(k + 2)
Determine p, given that -4/3*p**4 + 0 + 0*p + 0*p**2 - 2/3*p**5 - 2/3*p**3 = 0.
-1, 0
Let j be 4 + 1 + (-3 - -1). Let m(k) be the second derivative of 0*k**j - k + 0*k**2 - 1/36*k**4 + 0. Factor m(o).
-o**2/3
Suppose 0 = -3*z + 3*r + 3, 0 = 3*z + 4*r + 3 - 27. Factor -69/2*b**2 - 25/2*b**z - 35*b**3 - 2 - 14*b.
-(b + 1)**2*(5*b + 2)**2/2
Let s = -13/28 - -5/7. Suppose -3*g = -2*g. Solve -1/2*y**3 - s*y**4 + g - 1/4*y**2 + 0*y = 0.
-1, 0
Let d(p) be the first derivative of 0*p**5 + 0*p**4 + 0*p + 0*p**3 - 6 + 0*p**2 - 1/21*p**6. Solve d(w) = 0 for w.
0
Suppose 2 = -2*h + 5*a, -4*h + 16 = h - 2*a. Factor -u**3 - u**h - 7/2*u + 1/2*u**5 + 1 + 4*u**2.
(u - 1)**4*(u + 2)/2
Let l(a) be the third derivative of -1/300*a**6 + 1/60*a**4 + 1/15*a**3 - 1/150*a**5 + 0*a - a**2 + 0. Suppose l(h) = 0. Calculate h.
-1, 1
Let p(m) = -m**2 + 2. Let j be 2/(-4)*0/1. Let q be p(j). Determine u so that -u**2 + 2*u**2 + u + q*u - 2*u = 0.
-1, 0
Factor 9/5*o**2 - 3/5 - 6/5*o.
3*(o - 1)*(3*o + 1)/5
Let r(o) be the first derivative of 5*o**6/12 - 7*o**5/10 - 13*o**4/8 + 31*o**3/6 - 5*o**2 + 2*o - 13. Factor r(x).
(x - 1)**3*(x + 2)*(5*x - 2)/2
Suppose 4*f + 4 = a, 2*a - 5*f + 0 = 8. Let w be (a - (5 + -2)) + 1. Suppose -4*b + 2*b + 2*b + 2*b**w = 0. Calculate b.
0
Let y be (2/7)/((-10)/(-70)). Let -2/5*j**5 - 2/5*j**3 + 4/5*j**4 + 0*j + 0*j**y + 0 = 0. What is j?
0, 1
Factor 28/5*d**2 - 32/5*d + 4*d**3 - 16/5.
4*(d - 1)*(d + 2)*(5*d + 2)/5
Let n(b) be the first derivative of 2*b**3/3 - 2*b**2 - 4. Factor n(o).
2*o*(o - 2)
Let r(i) = -5*i**4 - 5*i**3 + 2*i**2 + 4 + 2 + i + 5*i**2. Let c(k) = -9*k**4 - 9*k**3 + 13*k**2 + 3*k + 11. Let q(m) = 4*c(m) - 7*r(m). Factor q(x).
-(x - 2)*(x + 1)**3
Let u(g) be the first derivative of 3*g**4/4 - g**3 - 3*g**2 + 3. Suppose u(i) = 0. What is i?
-1, 0, 2
Let m(x) be the first derivative of -2*x**6/21 - 8*x**5/35 + x**4/7 + 8*x**3/21 + 76. Solve m(