 d*q**4 + 0 + 0*q + 1/4*q**3.
q**3*(q + 1)/4
Let b = -24 - -26. Factor -1/2 - 1/4*n**b - 3/4*n.
-(n + 1)*(n + 2)/4
Let d be (2/(-200))/((-60)/50). Let r(m) be the third derivative of -m**2 + 0*m + 0*m**4 + d*m**5 + 0*m**3 + 0. Factor r(z).
z**2/2
Suppose -3*w - x + 0*x = -10, w - 6 = -3*x. Let -3*j**2 + 5 - 2 + 6*j**w - 3 - 3*j**4 = 0. What is j?
0, 1
Let p(b) be the second derivative of b**6/255 - 3*b**5/170 + 4*b**3/51 + 39*b. Find x such that p(x) = 0.
-1, 0, 2
Let l(j) = 78*j**3 + 132*j**2 + 28*j - 12. Let x(z) = 11*z + 31*z**3 + 28*z**2 - 5 + 28*z**2 + 2*z**2 - 5*z**2. Let o(g) = 5*l(g) - 12*x(g). Factor o(h).
2*h*(3*h + 2)**2
Let f(h) = h**3 - 7*h**2 - h + 7. Let d be f(7). Suppose d = m - 2*m. Factor 1/3*b**3 + 0*b**2 + m*b + 0.
b**3/3
Let z = -661/18725 + 5/107. Let i = 14/25 + z. Factor 2/7*f**3 + i*f**2 + 0 + 2/7*f.
2*f*(f + 1)**2/7
Let x be (258/9)/(-2)*5. Let w = -71 - x. Determine o, given that 0*o + 0 + w*o**2 - 2/3*o**3 = 0.
0, 1
Let a(v) = 2 - 5*v**3 + 9 + 4*v**3 - v. Let k be a(0). Find q such that -6*q**2 - k*q - 3 + 3*q + 1 = 0.
-1, -1/3
Let q = 8 - 3. Let w be q/((-30)/(-9))*2. Suppose 5/2*y**w + y**4 - 1/2*y + 3/2*y**2 - 1/2 = 0. Calculate y.
-1, 1/2
Let z = 4 + -2. Solve -j**3 - j**2 - j**2 + 2 + z*j - j**3 = 0 for j.
-1, 1
Factor 8/3 - 2/3*s**2 - 2*s.
-2*(s - 1)*(s + 4)/3
Determine b, given that 0*b**4 + 0*b**2 - b**4 - b**4 - 4*b + 6*b**2 = 0.
-2, 0, 1
Suppose r = 2*r - 2. Factor 22*f - 22*f - r*f**2 + f**3.
f**2*(f - 2)
Factor -15*t**3 - 4*t**5 + t**5 + 8*t**5 - 10*t**2.
5*t**2*(t - 2)*(t + 1)**2
Let h(g) be the third derivative of 0*g + 4/3*g**3 + g**2 + 1/3*g**4 + 1/30*g**5 + 0. Factor h(d).
2*(d + 2)**2
Suppose 3*z - 25 = -2*z. Let y(j) be the third derivative of 0*j**3 + j**2 + 0 - 1/60*j**z + 0*j - 1/24*j**4. Determine i, given that y(i) = 0.
-1, 0
Let q(a) = -a**2 + 5*a - 3. Let h be q(5). Let w(k) = k**3 - 4*k**2 + 9*k - 6. Let x(u) = -3*u**2 + 9*u - 6. Let l(y) = h*w(y) + 4*x(y). Factor l(s).
-3*(s - 1)**2*(s + 2)
Let f(k) be the third derivative of k**5/60 + k**4/24 - k**3/3 + k**2. Factor f(d).
(d - 1)*(d + 2)
Suppose 13*l = 6*l. Let x(n) be the second derivative of 0 - 1/18*n**4 + l*n**2 + 2*n - 1/9*n**3. Factor x(v).
-2*v*(v + 1)/3
Factor 4/3 - 2/9*g**2 + 2/9*g.
-2*(g - 3)*(g + 2)/9
Let q(a) = 2*a**3 - a**2 - a - 6. Let b(m) = 5*m**3 - 3*m**2 - 2*m - 13. Let i(j) = -6*b(j) + 13*q(j). Suppose i(y) = 0. Calculate y.
0, 1/4, 1
Let p(u) be the first derivative of 1/3*u**3 + 0*u - 1/2*u**2 - 8. Determine o so that p(o) = 0.
0, 1
Let w = -202 + 815/4. Let q = -45/2 - -101/4. Factor w*u**3 + 4*u**2 + 1/2 + q*u.
(u + 1)**2*(7*u + 2)/4
Let o(r) = 2*r**2 - r. Let u(f) = -f**2 + f - 1. Let m = -2 + 2. Suppose m = 2*z - 4*z - 2. Let t(h) = z*o(h) - u(h). Factor t(v).
-(v - 1)*(v + 1)
Let h(n) be the third derivative of -n**8/1344 + n**6/240 - n**4/96 + 6*n**2. Suppose h(q) = 0. Calculate q.
-1, 0, 1
Suppose 0 = -2*y - 3*j - 8, -6 = 3*y + 4*j - j. Let 16/9*h + 2/9 - 32/9*h**4 - 16/9*h**3 + 10/3*h**y = 0. What is h?
-1, -1/4, 1
Let h(r) = r**3 + 5*r**2 + 2*r + 4. Let j be h(-4). Factor 19*p**4 - 17*p - p + j*p**3 + 2*p - 15*p**4.
4*p*(p - 1)*(p + 2)**2
Factor 2/5*s**5 + 0*s + 0*s**2 + 0*s**3 + 0 + 0*s**4.
2*s**5/5
Let 0 + 3/4*o**3 + 3/2*o**2 + 3/4*o = 0. Calculate o.
-1, 0
Let k be 62/60 - (-4)/24. Let k*i**2 + 2/5*i**3 + 6/5*i + 2/5 = 0. Calculate i.
-1
Let k(c) be the second derivative of c**7/2520 + c**6/720 - c**4/12 + 4*c. Let s(f) be the third derivative of k(f). Find n, given that s(n) = 0.
-1, 0
Let s(q) be the second derivative of q**6/150 + 2*q**5/25 + 2*q**4/5 + 16*q**3/15 + 8*q**2/5 - 15*q. Factor s(n).
(n + 2)**4/5
Let z(s) = -14*s**3 - 8*s**2 - 2*s. Let b(l) be the first derivative of -l**4/4 + l**3/3 - l**2/2 - 1. Let n(m) = -6*b(m) + z(m). Find w, given that n(w) = 0.
-2, 0, 1/4
Let i be 7/(-1) - (-3 - -2). Let k be ((-96)/(-180))/((-2)/i). Factor 4/5 - 1/5*n**5 - 1/5*n**4 + 1/5*n**2 + n**3 - k*n.
-(n - 1)**3*(n + 2)**2/5
Let p(b) be the first derivative of b**6/3 - 2*b**5/5 - b**4/2 + 2*b**3/3 + 3. Find r such that p(r) = 0.
-1, 0, 1
Let x(d) be the second derivative of 0 - 3*d**2 - 1/2*d**3 + 1/4*d**4 + d. Factor x(y).
3*(y - 2)*(y + 1)
Let l(u) be the second derivative of -u**4/24 - u**3/6 + 3*u**2/4 - u. Solve l(w) = 0 for w.
-3, 1
Factor s**3 - 3*s - 14*s**2 - 3*s**3 - 18 - 27*s.
-2*(s + 1)*(s + 3)**2
Let t be (1 + (-6)/5)*(-135)/18. Let s = 20 + -18. Factor -6*w - 6 - t*w**s.
-3*(w + 2)**2/2
Factor 2/11*h**4 + 0*h**2 - 4/11*h**3 + 4/11*h - 2/11.
2*(h - 1)**3*(h + 1)/11
Let y(b) = -3*b + 2. Let o be y(1). Let t = o - -15/11. Solve t*c**4 + 0*c + 0*c**2 + 0 - 2/11*c**5 - 2/11*c**3 = 0.
0, 1
Let t = 468 + -274. Solve t*p**4 + 2*p**3 - 196*p**4 + 4*p**2 + 0*p**2 = 0.
-1, 0, 2
Determine v, given that 6*v**3 - 10*v**2 - 9*v - 11*v - 2*v**3 + 15 - 5*v**4 + 16*v**3 = 0.
-1, 1, 3
Let h = -1 + 3. Factor 1/2*j - 1/4*j**h - 1/4.
-(j - 1)**2/4
Let x(o) = 7*o - 3. Let q be x(2). Let h = q + -7. What is b in -3*b**3 - 3*b**3 - 19*b**h + 5*b**4 + 4*b**2 - 4*b**3 = 0?
-1, 0, 2/7
Let m be ((-105)/25)/(2/(-5)). Determine q so that q + 0 - 23/2*q**3 + 1/2*q**4 + m*q**5 - 1/2*q**2 = 0.
-1, -1/3, 0, 2/7, 1
Let l(u) = 2*u + 23. Let a be l(0). Let g**3 + 12*g**4 + a*g**3 + 3*g**4 + 12*g**2 + 0*g**3 + 3*g**5 = 0. What is g?
-2, -1, 0
Suppose -4*p = 3*n + 12, -2*n - 15 = -0*n + 5*p. Let y = 3 - n. Factor -2*z**4 + 3*z**3 - y*z**3.
-2*z**4
Let n(i) be the third derivative of 1/15*i**6 + 5*i**2 + 1/6*i**4 - 1/6*i**5 + 0*i + 0 - 1/105*i**7 + 0*i**3. Determine l, given that n(l) = 0.
0, 1, 2
Let t be (-2)/(-4 + 45/12). Factor -22*h**3 + t*h**3 + 15*h**3.
h**3
Factor -4/11*h**2 - 8/11*h**4 + 0 - 10/11*h**3 - 2/11*h**5 + 0*h.
-2*h**2*(h + 1)**2*(h + 2)/11
Let k(o) = -8*o**3 + 26*o**2 - 17*o. Suppose t = n + 4*t + 6, -5*n + 3*t = 30. Let h(v) = 3*v**3 - 9*v**2 + 6*v. Let i(x) = n*k(x) - 17*h(x). Factor i(d).
-3*d**2*(d + 1)
Let a(g) be the first derivative of g**7/210 - g**5/60 - g**2/2 + 2. Let o(p) be the second derivative of a(p). Factor o(z).
z**2*(z - 1)*(z + 1)
Let n(u) = 2*u - 10. Let k be n(7). Factor k*b**3 + 20 - 4*b + b**3 - 8 - 12*b**2 - b**3.
4*(b - 3)*(b - 1)*(b + 1)
Let i(g) = 5*g**4 + 8*g**3 + 10*g**2 + 7*g - 3. Let v(n) = 16*n**4 + 24*n**3 + 30*n**2 + 22*n - 10. Let p(m) = 20*i(m) - 6*v(m). Let p(r) = 0. What is r?
-2, -1, 0
Let k be 65/39*(-3)/(-4). Factor i + k*i**4 - 2*i**2 - 7/4*i**3 + 0.
i*(i - 2)*(i + 1)*(5*i - 2)/4
Let g(b) be the third derivative of -b**7/4200 - b**6/600 + b**4/6 - 4*b**2. Let i(c) be the second derivative of g(c). Suppose i(v) = 0. Calculate v.
-2, 0
Let b(v) = -v**2 - 35*v - 34. Let o(k) = 33*k + 33. Let i(m) = -3*b(m) - 4*o(m). Solve i(h) = 0.
-1, 10
Let b = 7/24 - -29/120. Let k(h) be the first derivative of -8/9*h**3 - 1 - 1/6*h**4 + 0*h + 1/3*h**2 + b*h**5. Find r such that k(r) = 0.
-1, 0, 1/4, 1
Determine y, given that -5*y**5 + 4*y + 10*y**2 + 3*y**5 + 6*y**3 + 0*y**5 - 2*y**4 = 0.
-1, 0, 2
Let k(n) be the third derivative of n**11/207900 + n**10/94500 + n**9/151200 + n**5/20 + 2*n**2. Let w(v) be the third derivative of k(v). Factor w(q).
2*q**3*(2*q + 1)**2/5
Let h(z) = 3*z**2 - 4*z. Let k be h(3). Let u be 2/(-6)*(0 - k). Determine n so that 5*n**4 - n**4 - n + n**2 + 3*n - u*n**2 - 2*n**5 = 0.
-1, 0, 1
Let g be 1*196/36 + -5. Factor 2/9*t**2 - g*t - 2/3.
2*(t - 3)*(t + 1)/9
Let d(p) be the third derivative of -1/2*p**4 + 1/10*p**6 + p**2 + 1/10*p**5 + 0*p + 1/70*p**7 - 3/2*p**3 + 0. Suppose d(x) = 0. What is x?
-3, -1, 1
Let n(s) be the third derivative of -s**6/960 - s**5/480 + s**4/96 + 26*s**2. Factor n(b).
-b*(b - 1)*(b + 2)/8
Let w be (28/(-8))/(-7)*48. Let m(j) = j**3 - 11*j**2 + 3*j + 7. Let l(v) = -v**2 + 1. Let p(t) = w*l(t) - 3*m(t). Find b such that p(b) = 0.
1
Let l(n) be the first derivative of -2*n**5/35 - 5*n**4/14 - 16*n**3/21 - 4*n**2/7 + 40. Factor l(f).
-2*f*(f + 1)*(f + 2)**2/7
Suppose 4 = v + v. Factor y**v + 2*y**2 + y - 2*y**2.
y*(y + 1)
Let h(u) = -u - 8. Let y be h(-12). Factor -2*s**4 - 2*s**4 + 12*s - 8*s - y*s**3 + 2*s**2 + 2*s**2.
-4*s*(s - 1)*(s + 1)**2
Let r(k) = -k**2 - 17*k + 25. Let g be r(-18). Let d be 474/70 - (-3)/g. Factor 4/5 + 81/5*u**2 - d*u.
(9*u - 2)**2/5
Let b(k) = 2*k + 2 + 2*k + 4*k**3 - 10*k**2 + 2*k + 2*k**3. Let q(i) = -11*