(u) + 7*i(u). Factor h(b).
(b - 1)**2*(3*b + 1)
Let v = 2 - -2. Factor 7*i**4 - 6*i**v + i**4.
2*i**4
Factor -1/5 + 1/10*u**3 + 1/2*u - 2/5*u**2.
(u - 2)*(u - 1)**2/10
Factor -6*r - r**2 - 103*r**3 + 17*r**2 + 91*r**3 + 2*r**5.
2*r*(r - 1)**3*(r + 3)
Solve j**3 - 10*j - 4*j**3 + 24*j**2 + 10*j = 0.
0, 8
Let a(m) be the first derivative of -3*m**5/5 - 3*m**4/2 - 19. Factor a(j).
-3*j**3*(j + 2)
Suppose -3*n - 58 - 134 = 0. Let h be 14/4*n/(-112). Suppose -1/4*a**4 + 0*a - 1/4*a**3 + 0*a**h + 0 = 0. What is a?
-1, 0
Factor -2/3*l + 1/6*l**3 - 1/6*l**2 + 2/3.
(l - 2)*(l - 1)*(l + 2)/6
Let x(y) be the first derivative of -1 + 0*y + 1/9*y**2 + 0*y**3 - 1/18*y**4. Find s, given that x(s) = 0.
-1, 0, 1
Let n(c) = -17*c**3 + 11*c**2 - 11*c + 11. Let z(v) be the first derivative of 3/2*v**4 - 1 - 4/3*v**3 + 2*v**2 - 4*v. Let s(b) = 4*n(b) + 11*z(b). Factor s(u).
-2*u**3
Let n(h) be the second derivative of h**5/25 + 2*h**4/15 - 2*h**3/3 - 12*h**2/5 + 29*h. Suppose n(c) = 0. Calculate c.
-3, -1, 2
Let u(l) = l**3 - 6*l**2 + 5*l + 6. Let c be u(5). Suppose c*b = b. Suppose -3*m**4 - 2*m + b*m**2 + 4*m**2 - m**4 + 2*m**5 = 0. What is m?
-1, 0, 1
Let w(n) be the first derivative of 5 + 0*n + 1/2*n**4 + 8/3*n**3 + 4*n**2. Find v, given that w(v) = 0.
-2, 0
Let k(n) = -n**2 + 7*n + 5. Let o be k(7). Let h(w) = 72*w**2 - 47*w + 6. Let c(u) = -108*u**2 + 70*u - 9. Let p(x) = o*c(x) + 7*h(x). Factor p(q).
-3*(3*q - 1)*(4*q - 1)
Suppose 0 = 2*w + 5*p + 6, -4*w = -3*p - 14. Let j(d) be the first derivative of 18/5*d + 2/15*d**3 - 4 - 6/5*d**w. Factor j(x).
2*(x - 3)**2/5
Factor -2/7*f**5 + 0*f + 0 + 2/7*f**4 + 2/7*f**3 - 2/7*f**2.
-2*f**2*(f - 1)**2*(f + 1)/7
Factor 1/3*l**2 + 0 - 1/3*l.
l*(l - 1)/3
Let o(p) be the third derivative of p**8/336 + p**7/210 - 5*p**2. Factor o(m).
m**4*(m + 1)
Let h(j) be the second derivative of -j**5/60 - j**4/36 + j**3/18 + j**2/6 - 4*j. Suppose h(v) = 0. What is v?
-1, 1
Let x(d) be the third derivative of 0*d - 1/72*d**4 - 1/1080*d**6 - 4*d**2 + 1/2*d**3 - 1/180*d**5 + 0. Let b(j) be the first derivative of x(j). Factor b(w).
-(w + 1)**2/3
Let z = 20 - 16. Determine y, given that -y**2 + z*y**3 - 8 - 18*y + 9*y**2 + 14*y = 0.
-2, -1, 1
Let t(i) be the third derivative of i**8/224 + i**7/840 - i**6/30 + 11*i**5/240 - i**4/48 + 5*i**2 + 1. Suppose t(q) = 0. Calculate q.
-2, 0, 1/3, 1/2, 1
Suppose 0 = 3*f + 38 + 16. Let z be (f/12)/((-3)/4). Factor 18/7*b**3 + 0 + 2/7*b + 12/7*b**z.
2*b*(3*b + 1)**2/7
Let c = 346 + -344. Determine r, given that -2/3 + r - 1/3*r**c = 0.
1, 2
Let z(q) be the first derivative of -q**6/24 - q**5/4 - q**4/2 - q**3/3 - 9. Factor z(x).
-x**2*(x + 1)*(x + 2)**2/4
Let n = 719/1586 + 1/122. Solve n*w - 4/13 - 2/13*w**2 = 0 for w.
1, 2
Let z = -10 - -12. Let w(y) be the first derivative of 2/21*y**3 + 1/7*y**z + 0*y + 2. Factor w(v).
2*v*(v + 1)/7
Let l(u) be the second derivative of 5*u**7/14 - u**6/6 - 5*u**5/4 + 5*u**4/12 + 5*u**3/3 - 12*u. Let l(i) = 0. What is i?
-1, -2/3, 0, 1
Suppose 7*s + 20 = 2*s, -5*s - 24 = -2*k. Let 2*f**k + 4*f**2 - 9 - 3*f - 3*f - 3*f**2 = 0. What is f?
-1, 3
Solve 25*g**4 - 4*g**3 + 2*g**3 - 3*g**3 = 0.
0, 1/5
Let a be 33/(1 + 3/6). Let c be 1/(a/(-12) + 2). Factor -4*g - g**3 + c*g - 2*g.
-g**3
Let t(y) be the first derivative of -3*y**5/10 + 3*y**4 - 15*y**3/2 - 6*y**2 + 24*y + 19. Determine k so that t(k) = 0.
-1, 1, 4
Suppose 0 = 5*k + 3*a - 27 + 1, k = -2*a + 8. Suppose 43 - 43 - k*x**2 = 0. Calculate x.
0
Solve 0 + 1/2*h + 0*h**2 - 1/2*h**3 = 0 for h.
-1, 0, 1
Let g be (-20)/(-4) - (-2 + 4). Factor 4/9*d**g + 0 + 2/9*d**4 + 0*d**2 - 2/9*d**5 + 0*d.
-2*d**3*(d - 2)*(d + 1)/9
Let y(d) be the second derivative of d**6/50 - 3*d**5/25 + 3*d**4/10 - 2*d**3/5 + 3*d**2/10 - 22*d. Let y(i) = 0. Calculate i.
1
Factor 0*g**3 + 4/11*g**2 + 0*g - 2/11*g**4 - 2/11.
-2*(g - 1)**2*(g + 1)**2/11
Let l(x) = -50*x + 4*x - 36*x**2 + x - 16. Let g(h) = 72*h**2 + 91*h + 32. Let z(j) = 3*g(j) + 5*l(j). Factor z(n).
4*(3*n + 2)**2
Let c be 56/420 + (-4)/30. Let q(v) be the third derivative of 0*v - 1/150*v**5 + c*v**3 + 1/60*v**4 + 0 - 2*v**2. Find j such that q(j) = 0.
0, 1
Determine t so that -2/3*t + 1/3*t**2 + 1/3 = 0.
1
Let l(p) = p**3 - 3*p**2 - 4*p + 2. Let a be l(4). Factor -3*m + 2 + 7*m - m**a + 3*m**2.
2*(m + 1)**2
Let g(a) be the second derivative of 0*a**2 + 1/27*a**4 + 0 - 1/540*a**6 + 1/135*a**5 - 1/3*a**3 + a. Let p(j) be the second derivative of g(j). Factor p(x).
-2*(x - 2)*(3*x + 2)/9
Factor -1/5*o - 1/5*o**3 + 2/5*o**2 + 0.
-o*(o - 1)**2/5
Let r(j) = -4*j**4 - j**3 - 2*j**2 - 17*j + 14. Let v(g) = -g**4 - g**3 - g + 1. Let m(n) = r(n) - 5*v(n). Let m(z) = 0. What is z?
-3, 1
Let r(b) = b**2 - b - 2. Let z(s) = 6*s**2 - 6*s - 11. Let t(c) = 33*r(c) - 6*z(c). Factor t(m).
-3*m*(m - 1)
Let y(j) be the first derivative of 3*j**2 - 2*j**3 - 2*j - 1 + 1/2*j**4. Factor y(h).
2*(h - 1)**3
Let r(t) be the first derivative of 2/5*t**4 - 4/5*t**3 - 2/25*t**5 - 4 + 4/5*t**2 - 2/5*t. Factor r(w).
-2*(w - 1)**4/5
Let n = 23/3 - 22/3. Suppose 12 = 5*p - c, -p = p + 4*c - 18. Factor -1/3*h**p + 1/3*h**2 + n*h - 1/3.
-(h - 1)**2*(h + 1)/3
Let a(x) be the first derivative of -x**6/180 + x**5/60 + 5*x**3/3 - 4. Let z(u) be the third derivative of a(u). Factor z(j).
-2*j*(j - 1)
Let n(y) = -2*y**3 - 4*y**2 - 4*y - 2. Let m be n(-2). Let c = -20 - -22. Factor -3*j + 6*j**2 + m*j**c - 9*j**3 - j.
-j*(3*j - 2)**2
Let n be 2 - 10/14 - 1. Let g(j) = -j**3 - 5*j**2 + 23*j - 5. Let r be g(-8). Factor 2/7*m**2 + n*m**r - 2/7 - 2/7*m.
2*(m - 1)*(m + 1)**2/7
Let z = 2 - -2. Factor -5 + 3 + 4*f + z*f**2 - 6*f**2.
-2*(f - 1)**2
Let y be (-16)/12*6/(-4). Determine g, given that -g**3 + 2*g**3 + 0*g**2 - y*g + 3*g**2 - 2*g**2 = 0.
-2, 0, 1
Let b(q) be the third derivative of 1/6*q**3 - 4*q**2 - 1/12*q**4 + 1/60*q**5 + 0*q + 0. Determine m so that b(m) = 0.
1
Suppose -5*w = -47 - 143. Let l be (57/w)/((-2)/(-8)). What is u in -l*u**3 - 9/2*u**4 + 0 + 0*u - 2*u**2 = 0?
-2/3, 0
Let b(h) be the third derivative of h**10/7560 - h**8/840 + h**6/180 + 5*h**4/24 - 3*h**2. Let a(g) be the second derivative of b(g). Find i such that a(i) = 0.
-1, 0, 1
Let m(v) = -9*v**2 - 3*v - 6. Suppose 32 + 0 = 3*z - 5*l, -5*l = 5*z. Let y(b) = 8*b**2 + 4*b + 5. Let g(p) = z*y(p) + 3*m(p). Let g(t) = 0. What is t?
-1, -2/5
Let r(a) = -8*a**4 + 17*a**3 + 4*a**2 + a + 7. Let i(v) = -5*v**4 + 11*v**3 + 3*v**2 + v + 5. Let u(f) = 7*i(f) - 5*r(f). Factor u(n).
n*(n - 1)**2*(5*n + 2)
Let d(r) be the second derivative of -2/15*r**6 + 0*r**2 + 0 + 4/3*r**3 + 4/5*r**5 + 5*r - 5/3*r**4. Find s such that d(s) = 0.
0, 1, 2
Let v(i) be the second derivative of i**7/16380 - i**6/4680 - i**5/390 + i**4/4 + 2*i. Let h(u) be the third derivative of v(u). Factor h(l).
2*(l - 2)*(l + 1)/13
Let i(r) be the second derivative of -r**7/14 + r**6/5 - r**4/2 + r**3/2 + 3*r. Solve i(m) = 0 for m.
-1, 0, 1
Let m(v) be the third derivative of v**9/2520 + v**8/1050 - v**7/2100 - v**6/450 - 2*v**3/3 - v**2. Let l(y) be the first derivative of m(y). Factor l(u).
2*u**2*(u + 1)**2*(3*u - 2)/5
Let m(d) be the first derivative of -2*d**6/3 - 8*d**5/5 + d**4 + 8*d**3/3 - 11. Suppose m(c) = 0. Calculate c.
-2, -1, 0, 1
Let o(i) = i**3 - i**2 - 1. Let q(s) = 2*s**3 - 6*s**2 - 2*s - 3. Let y(k) = -12*o(k) + 4*q(k). Factor y(v).
-4*v*(v + 1)*(v + 2)
Let b(l) be the third derivative of l**5/80 + 3*l**4/16 + 9*l**3/8 - 2*l**2 - 21*l. Factor b(y).
3*(y + 3)**2/4
Let h(w) = -27*w + 56. Let j be h(2). Find x, given that 6 + 3/2*x**j - 6*x = 0.
2
Let i = 13/25 + -14/75. Factor -2*v + 3 + i*v**2.
(v - 3)**2/3
Let z(n) = -6*n**2 - 27*n. Let d(r) = 19*r**2 + 81*r + 1. Let s(j) = -6*d(j) - 17*z(j). Find w, given that s(w) = 0.
-2, -1/4
What is z in -1/8*z**2 - 1/4*z + 0 = 0?
-2, 0
Let d = -3 - -5. Let x(u) be the first derivative of -2/15*u**3 - 1/5*u**2 + 1/10*u**4 + d + 0*u + 2/25*u**5. Let x(a) = 0. Calculate a.
-1, 0, 1
Let p be (16/60*3)/((-2)/(-5)). Let h(f) be the second derivative of 0 + 4*f + 0*f**p - 1/42*f**4 - 1/21*f**3. Factor h(s).
-2*s*(s + 1)/7
Suppose 6 + 6*w + 3/2*w**2 = 0. What is w?
-2
Let t(p) be the first derivative of -p**6/240 + p**5/40 - p**4/16 + p**3/12 - p**2 - 4. Let s(i) be the second derivative of t(i). Factor s(d).
-(d - 1)**3/2
Factor 0*c + 0 