actor m(p).
-2*(p - 1)**2/7
Let d(a) be the second derivative of -3*a - 4/7*a**2 + 4/21*a**3 - 1/42*a**4 + 0. Factor d(b).
-2*(b - 2)**2/7
Let d(l) be the first derivative of -1/14*l**4 + 2/7*l**3 - 3 + 2/7*l - 3/7*l**2. Find v, given that d(v) = 0.
1
Let f(d) be the first derivative of 4*d**7/735 + d**6/420 + 2*d**2 - 7. Let o(m) be the second derivative of f(m). What is v in o(v) = 0?
-1/4, 0
Suppose 56 = 5*r - 19. Suppose -u**3 - r*u + 9*u**3 + 7*u**3 + 6*u**2 - 6 = 0. Calculate u.
-1, -2/5, 1
Let t(b) = -5*b + b + 6*b**2 + 3 - 2*b - 8. Let l(j) = -7*j**2 + 7*j + 6. Let w(x) = 5*l(x) + 6*t(x). What is c in w(c) = 0?
0, 1
Let d(m) be the third derivative of -5*m**2 + 0 - 1/52*m**4 - 2/39*m**3 - 1/390*m**5 + 0*m. What is h in d(h) = 0?
-2, -1
Let p(v) = v**3 + 8*v**2 + 2. Let l be p(-8). Let n(w) be the first derivative of -1/4*w**2 + 0*w**3 + l + 1/8*w**4 + 0*w. Factor n(r).
r*(r - 1)*(r + 1)/2
Factor -2/9*i**4 + 2/9*i**2 + 0*i + 0*i**3 + 0.
-2*i**2*(i - 1)*(i + 1)/9
Suppose -5*y - 30 = -20*y. Find r, given that 2/3*r - 4/3 + 2*r**y = 0.
-1, 2/3
Let w be ((-9)/(-4))/(-4 - 141/(-24)). Let -3/5*m - w + 3/5*m**2 = 0. Calculate m.
-1, 2
Let w(k) = -k**2 + 4*k + 5. Let d be w(4). Determine j, given that j + j**d - 2*j**3 - 8 + 8 = 0.
-1, 0, 1
Let x(i) = -i**3 - 5*i**2 - 4*i + 3. Let y be x(-4). Determine r, given that 2*r + r - r - 6*r**y - 7*r**5 + 19*r**4 - 9*r**3 + r**2 = 0.
-2/7, 0, 1
Suppose -w + 4*w - 6 = 0, -4*w = 2*y - 10. Factor y - 1/2*i**2 - 1/2*i.
-(i - 1)*(i + 2)/2
Solve 8/3 - 14/3*f + 2/3*f**3 + 4/3*f**2 = 0 for f.
-4, 1
Factor 50*r**3 - 49 - 35*r**4 - 77 + 90*r**2 - 135*r + 5*r**5 + 28 - 37.
5*(r - 3)**3*(r + 1)**2
Suppose -3*v - 6 + 18 = 0. Suppose -13 = -v*s - 1. Factor -2*c**4 - 6*c**s - 6*c**2 - 6 - 2*c + 6.
-2*c*(c + 1)**3
Let n(m) = m**2 + m + 1. Let s(q) = 2*q**3 + 5*q**2 + 3*q + 5. Suppose -11 = 5*k - 4*v, -5*v - 5 + 27 = 2*k. Let g(l) = k*s(l) - 5*n(l). Solve g(c) = 0.
-1, 0, 1
Let u(z) be the second derivative of 4*z**5/5 + z**4 - 2*z**3/3 - 9*z. Let u(p) = 0. What is p?
-1, 0, 1/4
Suppose 3*q + 0 - 3 = 0, -2*n + 7 = -q. Factor -22/7*b**n + 30/7*b**3 + 0 + 6/7*b**5 - 18/7*b**2 + 4/7*b.
2*b*(b - 1)**3*(3*b - 2)/7
Let s = 9 + -12. Let l(h) = -13*h + 6. Let a(u) = -u**2 + 12*u - 5. Let z(k) = s*l(k) - 4*a(k). Factor z(m).
(m - 2)*(4*m - 1)
Let v(m) be the second derivative of -1/20*m**5 + 0 - 1/30*m**6 + 0*m**2 - m + 0*m**3 + 0*m**4. Find w, given that v(w) = 0.
-1, 0
Suppose o + 3*z + 21 + 5 = 0, -5*z = -o + 14. Let g = o + 14. Determine n, given that -6/5*n**2 + 8/5 - 2/5*n**g + 0*n = 0.
-2, 1
Determine k so that -3/4*k**2 - 9/2 - 15/4*k = 0.
-3, -2
Factor 0*t**5 - 9*t**4 - 50*t + 9*t**2 - 15*t**3 + 62*t + 3*t**5.
3*t*(t - 4)*(t - 1)*(t + 1)**2
Let h(y) be the second derivative of y**4/4 + 3*y**3 + 15*y**2/2 + 25*y. Factor h(j).
3*(j + 1)*(j + 5)
Let f be 5/(40/(-252)) + 2. Let x = 30 + f. Let 1/2*i**4 - x*i + 0 + 3/2*i**2 - 3/2*i**3 = 0. Calculate i.
0, 1
Let v(a) be the second derivative of -a**4/5 + 32*a**3/15 - 2*a**2 + 36*a. Find d, given that v(d) = 0.
1/3, 5
Suppose 4*t - 1 - 19 = 0. Suppose 7*q - t*q = 4. Suppose -8/3 - 16/3*g - 2/3*g**3 - 10/3*g**q = 0. What is g?
-2, -1
What is j in 0*j**2 - 7*j**2 - 4*j - 2*j**2 + j**2 = 0?
-1/2, 0
Let h(p) = -10*p**2 - 6*p + 4. Let d(w) = 11*w**2 + 7*w - 4. Let y be -1 + (3 - 6) + 11. Let s(v) = y*h(v) + 6*d(v). Factor s(i).
-4*(i - 1)*(i + 1)
Let x(s) be the first derivative of -s**8/1344 - s**7/210 - s**6/80 - s**5/60 - s**4/96 - s**2 - 3. Let n(a) be the second derivative of x(a). Factor n(q).
-q*(q + 1)**4/4
Suppose -t + 2*w = 2, -w = 3*w - 8. Let g(p) be the first derivative of 9/10*p**4 + 14/25*p**5 - 2/3*p**3 - 4/5*p - 1 - 9/5*p**t. Determine y so that g(y) = 0.
-1, -2/7, 1
Let r(k) be the second derivative of -k**8/16800 - k**4/2 - 5*k. Let l(x) be the third derivative of r(x). Factor l(q).
-2*q**3/5
Let v(m) be the third derivative of -m**5/240 + m**4/96 + 8*m**2. Let v(j) = 0. Calculate j.
0, 1
Let m = -80 + 83. Suppose 0*n - 1/4*n**2 + 1/4*n**m + 0 = 0. Calculate n.
0, 1
Let o be (38/30 - 1)/(36/1134). Let -11/5*n - 64/5*n**3 - 32/5*n**4 - o*n**2 - 1/5 = 0. Calculate n.
-1, -1/2, -1/4
Suppose 0 = -s + 3*u - 2*u + 3, -3*u = 3. Let x be (-2)/(-1) - 8/5. What is y in 0*y - x + 2/5*y**s = 0?
-1, 1
Let c be (-2)/4 - (-14)/4. Factor 2*a - 3 - 2*a**c + 2 + 1.
-2*a*(a - 1)*(a + 1)
Suppose 3*p + 2*u = 14, 5 = -p + 5*u + 4. Let m = p + 0. Let 2*a**5 - a**3 + 4*a**2 - 4*a**3 - 2 - 2*a**m + 2*a + a**3 + 0*a**3 = 0. What is a?
-1, 1
Let p(r) = -7*r**5 - 36*r**4 - 99*r**3 - 61*r**2 + 3. Let a(m) = 8*m**5 + 36*m**4 + 100*m**3 + 60*m**2 - 4. Let g(x) = -3*a(x) - 4*p(x). Factor g(k).
4*k**2*(k + 1)*(k + 4)**2
Suppose 677 = -7*f + 691. Factor -1/2*z**4 + 5*z - 3/2 + 3*z**3 - 6*z**f.
-(z - 3)*(z - 1)**3/2
Let i(j) be the second derivative of -j**6/60 + j**5/30 + j**3/6 + 5*j. Let o(f) be the second derivative of i(f). Factor o(b).
-2*b*(3*b - 2)
Let w be (2/(-1) - -1)/(-1). Let g = 4 - w. Factor p**5 + 2*p**3 - 2*p**g + p - 2*p**3.
p*(p - 1)**2*(p + 1)**2
Let r(q) be the second derivative of q**4/24 + q**3/3 + q**2 + 2*q. Solve r(t) = 0 for t.
-2
Find r, given that 6/7 + 3/7*r**2 - 9/7*r = 0.
1, 2
Let a(i) be the first derivative of 2*i**6/15 - 2*i**5/5 + i**4/3 - 3*i - 3. Let q(w) be the first derivative of a(w). Suppose q(g) = 0. Calculate g.
0, 1
Let n = -11 - -27. Let z = n + -4. Factor q**3 - z*q**3 + q**3 + 2*q + 2*q**2 + 6*q**4.
2*q*(q - 1)**2*(3*q + 1)
Let u(b) = -12*b**2 - 3*b + 4. Let h(f) be the second derivative of f**2/2 + f. Suppose 3*o = 12, -o + 2 = 2*s - 4. Let x(a) = s*u(a) - 4*h(a). Factor x(i).
-3*i*(4*i + 1)
Let f(q) be the third derivative of -1/60*q**6 + 0 + 3*q**2 + 0*q + 0*q**3 + 1/6*q**4 - 1/30*q**5. What is p in f(p) = 0?
-2, 0, 1
Find w such that 0*w - 2/3*w**4 + 0 + 2/3*w**3 + 4/3*w**2 = 0.
-1, 0, 2
Let s(p) be the second derivative of 0 - 3*p + 0*p**2 + 1/50*p**5 + 1/30*p**4 - 1/75*p**6 - 1/15*p**3. Factor s(u).
-2*u*(u - 1)**2*(u + 1)/5
Let i(v) be the first derivative of -v**3 + 0*v + 0*v**2 + 21/10*v**5 - 1 - 15/8*v**4. Factor i(l).
3*l**2*(l - 1)*(7*l + 2)/2
Factor 4/7*m**2 - 4/7*m**4 + 0 + 0*m + 0*m**3.
-4*m**2*(m - 1)*(m + 1)/7
Solve -8/9*u - 10/9 + 2/9*u**2 = 0.
-1, 5
Let j = 1208/9 + -134. Let b(x) be the first derivative of 2/27*x**3 + 1/18*x**4 - 1/9*x**2 - j*x + 2. Factor b(u).
2*(u - 1)*(u + 1)**2/9
Let u(r) be the third derivative of -r**5/12 - 5*r**4/12 - 5*r**3/6 + 17*r**2. Solve u(o) = 0.
-1
Let q(p) be the third derivative of 0*p - 1/30*p**5 - 2/3*p**3 + 1/4*p**4 + p**2 + 0. Solve q(j) = 0 for j.
1, 2
Let y(l) = l - 5. Let f be y(8). Let h(b) = 2*b**2 + 3*b + 4. Let d(g) = -g**2 - g - 1. Let s(r) = f*d(r) + h(r). Solve s(k) = 0.
-1, 1
Let w(p) be the second derivative of -8*p + 1/10*p**4 + 1/50*p**5 + 1/5*p**2 + 0 + 1/5*p**3. Find k such that w(k) = 0.
-1
Let b(m) = 2*m**4 - 8*m**3 + 10*m**2 - m + 3. Let j(u) = 8*u**4 - 32*u**3 + 40*u**2 - 5*u + 11. Let v(w) = 22*b(w) - 6*j(w). Let v(x) = 0. Calculate x.
0, 1, 2
Let v(k) be the third derivative of -k**6/96 + 35*k**4/96 + 5*k**3/4 + k**2. Factor v(r).
-5*(r - 3)*(r + 1)*(r + 2)/4
Factor w + 4/5*w**2 + 1/5*w**3 + 2/5.
(w + 1)**2*(w + 2)/5
Let u(d) be the first derivative of 5*d**4/4 - 2*d**3/3 - 5*d**2/2 + 2*d + 7. Factor u(p).
(p - 1)*(p + 1)*(5*p - 2)
Suppose -4 = -4*u + 12. Suppose 3*w**4 - 4*w**4 + u*w**5 - 3*w**5 = 0. What is w?
0, 1
Let t(d) be the first derivative of 1/5*d**2 - 2 + 0*d + 2/15*d**3. Solve t(j) = 0 for j.
-1, 0
Solve -8/5*f + 6/5 + 2/5*f**2 = 0.
1, 3
Let h(f) be the second derivative of f**6/15 + 2*f**5/5 + 5*f**4/6 + 2*f**3/3 - 23*f. Factor h(z).
2*z*(z + 1)**2*(z + 2)
Let w be (-1)/2*((-128)/12)/8. Factor 0 - w*k - 2/3*k**2.
-2*k*(k + 1)/3
Let m(d) be the third derivative of d**8/2240 + d**7/280 + d**6/80 + d**5/40 - d**4/24 - 2*d**2. Let s(c) be the second derivative of m(c). Factor s(a).
3*(a + 1)**3
Suppose -2*u + 7*u = 10. Let k(d) be the first derivative of 0*d + u + 1/8*d**4 + 0*d**2 + 1/12*d**6 + 1/5*d**5 + 0*d**3. Suppose k(q) = 0. Calculate q.
-1, 0
Suppose 24*b**2 - 8*b**5 - 5 + 0*b**3 + 12*b**5 - 19 - 32*b**3 + 28*b = 0. What is b?
-3, -1, 1, 2
Suppose -2*f - 2 = -3*f. Let n be -2 - (-6 + (f - -1)). Let n + 2*p**2 + 2 - 1 + 4*p = 0. What is p?
-1
Let n