*w**7 + 0*w**4 + 0*w**6 + 0*w + 0 - 2*w**2 + 1/150*w**5 + 0*w**3. Let c(z) = 0. Calculate z.
-1, 0, 1
Let t(l) be the third derivative of l**8/20160 - l**7/1680 - 2*l**5/15 - 10*l**2. Let i(k) be the third derivative of t(k). Let i(u) = 0. What is u?
0, 3
Let c = -1601/143 + 155/13. Solve -2/11*a**2 - 6/11 + c*a = 0 for a.
1, 3
Let c(v) be the first derivative of -v**3/4 + 3*v**2 - 12*v + 3. Solve c(w) = 0.
4
Let f(g) be the third derivative of g**6/60 + g**5/30 - 14*g**2. Solve f(b) = 0.
-1, 0
Suppose -5*m + 7 = -3*t, -3*m + 0*m + t + 1 = 0. Let i = 1 - m. Factor i*b - 2*b**3 - 7 + 2*b**2 + 5 + 0*b**2.
-2*(b - 1)**2*(b + 1)
Let 10/17*f**2 + 4/17 + 14/17*f = 0. Calculate f.
-1, -2/5
Let c(x) be the third derivative of -x**9/52920 + x**8/23520 - x**4/6 - 3*x**2. Let r(b) be the second derivative of c(b). Determine a so that r(a) = 0.
0, 1
Determine x so that -5*x**5 + x**5 + 6*x**5 - 4*x**4 + 0*x**4 = 0.
0, 2
Let k(v) be the second derivative of -v**7/21 + v**6/15 + 2*v. Solve k(i) = 0 for i.
0, 1
Let u = -23 + 24. Let c be u - ((-10)/(-4) + -3). Let -c*r**4 - 5/2*r**3 + 0 - r**2 + 0*r = 0. Calculate r.
-1, -2/3, 0
Let c be -12 - (2 + (-4)/4). Let q = c + 13. Find u, given that 2*u + q*u**2 - 2/3*u**3 + 4/3 = 0.
-1, 2
Let k(p) = -p**3 - 6*p**2 + 6*p + 1. Let f(n) = -6*n**2 + 6*n. Let g = -2 - 1. Let w = g - -5. Let h(r) = w*k(r) - 3*f(r). Find a such that h(a) = 0.
1
Let s(i) be the first derivative of i**7/420 + i**6/240 + i**2 - 4. Let k(d) be the second derivative of s(d). Suppose k(j) = 0. What is j?
-1, 0
Let t(r) be the second derivative of 5*r**4/3 - 5*r**3/2 - 10*r. Factor t(i).
5*i*(4*i - 3)
Let l(u) be the second derivative of u**6/60 - u**5/20 + u**4/24 + 40*u. Factor l(z).
z**2*(z - 1)**2/2
Factor 2/5 + 4/5*t + 2/5*t**2.
2*(t + 1)**2/5
Let a be 18/8 - (9/3 + -1). Suppose 0 - 1/4*w**2 - a*w = 0. What is w?
-1, 0
Let r(g) be the first derivative of -5*g**4/4 - 6*g**3 + 33*g**2/2 - 10*g + 30. Find a such that r(a) = 0.
-5, 2/5, 1
Let s(h) = -2*h**4 - 6*h**3 - 2*h**2 + 2*h. Let i(r) = 5*r**4 + 16*r**3 + 6*r**2 - 5*r. Let a(v) = -4*i(v) - 11*s(v). Determine b so that a(b) = 0.
-1, 0, 1
Let f(p) be the third derivative of p**7/5040 - p**6/1440 - p**4/24 - p**2. Let x(v) be the second derivative of f(v). Factor x(b).
b*(b - 1)/2
Let g(b) = -b**3 - 9*b**2 + 8*b - 8. Let y be g(-10). Let h be 2*((-8)/y - -1). Determine p, given that -h*p + 1/3*p**2 + 0 + 1/3*p**3 = 0.
-2, 0, 1
Let k = 46/5 - 87/10. Factor -1/2*a**2 + a - k.
-(a - 1)**2/2
Solve 329 - 14*i + 54*i + 5*i**3 - 25*i**2 - 349 = 0 for i.
1, 2
Let i(y) = -y - 1. Let f be i(-5). Let d(m) = -7*m**2 - 5*m + f + 3 - 2. Let c(x) = 8*x**2 + 6*x - 6. Let z(v) = -5*c(v) - 6*d(v). Factor z(o).
2*o**2
Suppose x = 4, 3*b + 38 = -0*b + 2*x. Let i = b + 13. Suppose 1/4*v**2 + 1/4*v**i + 0 + 0*v = 0. What is v?
-1, 0
Let n = -2/19 - -56/171. What is z in 2/9*z - 2/9*z**3 + n*z**2 - 2/9 = 0?
-1, 1
Suppose 5*w + 3*u = 13, -4*w + 3*u - 1 = -3*w. Factor 0 + 1/4*j**w + 0*j.
j**2/4
Suppose -3*u - 6 = -6*u. Suppose -2*m + 3*v = -11, u*v + 17 = 5*m - 5. Factor 4/7*g**m + 8/7*g**2 + 0 - 10/7*g**3 - 2/7*g.
2*g*(g - 1)**2*(2*g - 1)/7
Let z(k) be the second derivative of 4*k**7/21 - 8*k**6/15 + k**5/10 + 5*k**4/6 - k**3/3 - k**2 + 12*k. Factor z(w).
2*(w - 1)**3*(2*w + 1)**2
Let o(n) be the second derivative of n**7/21 - n**6/20 - n**5/40 - 5*n. Factor o(z).
z**3*(z - 1)*(4*z + 1)/2
Suppose -2 = d - 4*j, -5*j + 4*j = -1. Let r be 14/24 - 2/8. Factor r + 1/3*w**3 + w**d + w.
(w + 1)**3/3
Let r(g) be the second derivative of 1/36*g**4 + 0 + 1/6*g**2 - g - 1/9*g**3. Factor r(d).
(d - 1)**2/3
Suppose -36*z**3 - 4*z**4 + 4*z**5 + 42*z**2 - 48 + 4*z**4 + 10*z**2 - 4*z**4 + 32*z = 0. What is z?
-3, -1, 1, 2
Factor -3/2*g + 1/2*g**2 + 0.
g*(g - 3)/2
Let d = -29 + 55. Suppose -u + d = 3*u + 2*k, 0 = -3*u + 3*k + 15. Suppose 2*t + 2*t**2 - 4*t**3 - u*t**4 - 2*t = 0. What is t?
-1, 0, 1/3
Factor 93 - 3*f**3 - 6*f - 6*f**2 + 21*f - 75.
-3*(f - 2)*(f + 1)*(f + 3)
Let w = 4 + 2. Suppose s + 0*s + 6 = -4*r, s - w = 2*r. Solve -2*n**s + 7*n**3 + 3*n**5 - 2*n**2 - n**2 + 3*n**2 - 8*n**4 = 0.
0, 2/3, 1
Let s(w) be the third derivative of -w**8/13440 - w**4/12 + 3*w**2. Let d(j) be the second derivative of s(j). Find n, given that d(n) = 0.
0
Determine u, given that 0*u + 3/7*u**4 + 0 + 3/7*u**2 + 6/7*u**3 = 0.
-1, 0
Factor 1/4*q + 0 + 3/2*q**3 + 1/4*q**5 - q**2 - q**4.
q*(q - 1)**4/4
Suppose -14 = -5*f - u + 6, -f - 22 = -5*u. Let t(p) be the second derivative of -1/4*p**4 - 3/2*p**3 - f*p**2 + 0 - 2*p. Let t(j) = 0. What is j?
-2, -1
Let i(h) be the third derivative of -9*h**7/140 - h**6/12 + 8*h**5/45 - h**4/9 + h**3/6 + h**2. Let w(z) be the first derivative of i(z). Factor w(p).
-2*(p + 1)*(9*p - 2)**2/3
Let a = 14 - 11. Factor -5 - 4 - 3*s + 3 + a*s**2.
3*(s - 2)*(s + 1)
Suppose -2*h = -0*h - 20. Suppose -5*q = -h*q + 10. Factor -1/3 - 1/3*g**q - 2/3*g.
-(g + 1)**2/3
Find q, given that -5*q**2 + 7 - 2*q**2 - 14*q**2 + 5*q - 1 = 0.
-3/7, 2/3
Let b be 1/(-10)*-13 - 2/(-10). Factor -i - 1/2*i**2 + b.
-(i - 1)*(i + 3)/2
Let t(j) be the third derivative of 169*j**5/15 + 26*j**4 + 24*j**3 - 3*j**2 - 6*j. What is m in t(m) = 0?
-6/13
Let v(u) be the first derivative of -u**3/9 + 2*u**2/3 - u - 31. Suppose v(d) = 0. Calculate d.
1, 3
Let s(u) = u**2 - u. Let y = -8 - -6. Let b(x) = 3*x**2 - 2*x - 1. Let w = 12 + -8. Let d(v) = w*s(v) + y*b(v). Factor d(m).
-2*(m - 1)*(m + 1)
Let i be -3*(10/(-3))/(-5). Let a be (-8)/6*3/i. Determine z so that -2/7*z**a + 2/7*z**4 + 0 - 2/7*z + 2/7*z**3 = 0.
-1, 0, 1
Suppose y + 5 = -4*y. Let z = 2 - y. Factor 0*h**2 - 2/11*h**z + 0 + 0*h.
-2*h**3/11
Let k be (3 - 2)/((-1)/(-2)). Suppose d + k - 5 = 0. Let i(u) = -u**5 + 4*u**3 - 3. Let x(s) = 3*s**5 - 11*s**3 + 8. Let l(m) = d*x(m) + 8*i(m). Factor l(n).
n**3*(n - 1)*(n + 1)
Let f = 19 + -15. Factor 2*m**5 + 11*m**3 + m**5 - 7*m**5 - 4*m + 4*m**f - 8*m**2 - 3*m**3 + 4.
-4*(m - 1)**3*(m + 1)**2
Let r(b) = 25*b**5 + 35*b**4 + 21*b**3 - 11*b**2 + 11*b - 11. Let f(s) = -5*s**5 - 7*s**4 - 4*s**3 + 2*s**2 - 2*s + 2. Let t(o) = 11*f(o) + 2*r(o). Factor t(w).
-w**3*(w + 1)*(5*w + 2)
Let i be -3*((-4)/(-45))/(10/(-25)). Suppose -4*j**3 + 0 - 8/3*j**4 - 2/3*j**5 - i*j - 8/3*j**2 = 0. What is j?
-1, 0
Let o be (-1)/(-4)*(8 - -7). Let z = 4 - o. Factor z*s - 1/4*s**4 + 3/4*s**3 - 3/4*s**2 + 0.
-s*(s - 1)**3/4
Determine p, given that 0*p**2 + 0 - 4/7*p**3 + 0*p + 2/7*p**5 - 2/7*p**4 = 0.
-1, 0, 2
Let h be -2 + -2*(-2 + 1). Suppose 165 = n + 163. Factor h + 0*k + 2/7*k**n - 2/7*k**4 + 0*k**3.
-2*k**2*(k - 1)*(k + 1)/7
Let v(n) = -2*n**2 + 29*n + 43. Let u(s) = s**2 - 28*s - 44. Let a(h) = -5*u(h) - 4*v(h). Find b such that a(b) = 0.
-4
Let l(b) be the second derivative of b**5/10 - b**4/4 + 3*b**3/16 - b**2/16 - 32*b. Factor l(j).
(j - 1)*(4*j - 1)**2/8
Let h(t) be the first derivative of t**4 - 1/3*t**6 - 2*t + 4/3*t**3 - 2/5*t**5 - t**2 - 5. Factor h(f).
-2*(f - 1)**2*(f + 1)**3
Let u(v) = -v**2 - 6*v. Let z be u(-6). Let p = -15/2 - -8. Suppose -1/2*x**2 + p*x + z = 0. What is x?
0, 1
Suppose 0*x + 0 + 1/5*x**2 = 0. What is x?
0
Suppose -20 = -5*a - 0*a. Suppose -a*v + 16 = -3*y + y, 0 = 3*v + 3*y + 6. Factor -2*n**3 - 7*n**3 + 2*n + 4*n**3 + 3*n**v.
-n*(n - 1)*(5*n + 2)
Let j be (-4)/3*(-6)/4. Let v(l) be the first derivative of j + 0*l - 1/18*l**3 - 1/24*l**4 + 0*l**2. Factor v(i).
-i**2*(i + 1)/6
Let j(f) = -11*f**3 + 8*f**2 + 4*f - 1. Let x(i) = -5*i**3 + 4*i**2 + 2*i - 1. Let t(c) = -3*j(c) + 7*x(c). Factor t(r).
-2*(r - 2)*(r - 1)*(r + 1)
Let w = 4423/2460 - -1/492. Find t such that -w - 3*t + 3/5*t**3 - 3/5*t**2 = 0.
-1, 3
Let u(l) be the third derivative of -l**6/30 + 2*l**5 - 50*l**4 + 2000*l**3/3 - 6*l**2 - 1. Factor u(k).
-4*(k - 10)**3
Let n(c) be the third derivative of c**8/336 + c**7/70 + c**6/40 + c**5/60 + 13*c**2. What is h in n(h) = 0?
-1, 0
Let a = -799/143 - -75/13. Factor 0*f**2 - a*f**4 - 4/11*f**3 + 4/11*f + 2/11.
-2*(f - 1)*(f + 1)**3/11
Let k(b) be the first derivative of b**8/560 - b**7/140 + b**6/120 + b**3/3 + 3. Let n(x) be the third derivative of k(x). Factor n(z).
3*z**2*(z - 1)**2
Suppose 2*z - 4 = -3*v, 24*v - 22*v = -4*z + 8. Let m(y) be the third derivative of -1/21*y**3 + 2*y**z + 1/42*y**4 - 1/210*y**5 + 0 + 0*y. F