ivative of 8/5*s**5 + 8/3*s**3 + 1 - b*s**6 - 3*s**4 - s**2 + 0*s. What is q in u(q) = 0?
0, 1
Let v(y) be the third derivative of -y**5/180 + y**3/18 - 3*y**2. Suppose v(t) = 0. What is t?
-1, 1
Let z(w) be the second derivative of 2*w**4/39 + w**3/39 + 7*w. Solve z(n) = 0.
-1/4, 0
Let t(j) be the third derivative of 0*j - 1/3*j**4 - 1/30*j**5 - 4/3*j**3 + 0 + 3*j**2. Factor t(k).
-2*(k + 2)**2
Factor 0 - t**3 + 0 - t + 2*t**2.
-t*(t - 1)**2
Let j(m) be the second derivative of -m**4/4 + 2*m**3/3 + 5*m. Let q(d) = 2*d**2 - 3*d. Let c(b) = 5*j(b) + 7*q(b). Suppose c(t) = 0. Calculate t.
-1, 0
Factor -5*f**2 - 5*f - 196*f**3 + 201*f**3 + 3 + 2.
5*(f - 1)**2*(f + 1)
Let s(x) be the third derivative of -7*x**5/330 + 4*x**4/33 - 4*x**3/33 - 16*x**2. Suppose s(z) = 0. What is z?
2/7, 2
Suppose -d - 3*w - 3 = 6, -11 = d + w. Let g be (-6)/(-8)*(-8)/d. Factor -k + g + 1/2*k**2.
(k - 1)**2/2
Let n(y) be the third derivative of y**8/13440 - y**7/2520 + y**4/8 + 2*y**2. Let u(i) be the second derivative of n(i). Factor u(b).
b**2*(b - 2)/2
Let l(o) = -o**5 + o**4 + o**3 + o**2 - o + 1. Let f(g) = 16*g**5 - 26*g**4 + 4*g**3 - 14*g**2 + 10*g - 10. Let h(k) = -f(k) - 10*l(k). Factor h(a).
-2*a**2*(a - 1)**2*(3*a - 2)
Suppose -c + 1 = -2*q, 0 = 3*c + 2*q - q - 31. Factor -c*p**3 - 5*p**3 + 11*p**3.
-3*p**3
Let n(x) be the first derivative of x**8/3360 - x**7/840 + x**5/120 - x**4/48 + 2*x**3/3 + 3. Let w(h) be the third derivative of n(h). Factor w(q).
(q - 1)**3*(q + 1)/2
Let m = 8 - 0. Suppose 3*q - m*y + 16 = -4*y, 12 = 4*q + 3*y. Factor 2*a - a**3 + q*a - a**3.
-2*a*(a - 1)*(a + 1)
Let y be 1*(-1)/3 - 208/(-78). Determine i so that -5/3*i**4 + 0*i**2 + 0 + 0*i - y*i**5 + 2/3*i**3 = 0.
-1, 0, 2/7
Let j(l) be the first derivative of -2 + 0*l**3 - 2/35*l**5 + 0*l - 1/14*l**4 + 0*l**2. Factor j(p).
-2*p**3*(p + 1)/7
Let d(b) = 2 + 14*b**2 - 18*b**2 - 4*b - 7. Let l(z) be the third derivative of z**5/60 + z**4/24 + z**3/6 + z**2. Let x(v) = -2*d(v) - 10*l(v). Factor x(q).
-2*q*(q + 1)
Suppose -5*q = -2*z - 6, 3 = 4*z + 2*q - 9. Let j be (-1)/(-2) - 10/(-4). Factor -z*c**3 + 0*c - j*c**5 + 4*c**5 - 4*c + 5*c.
c*(c - 1)**2*(c + 1)**2
Find q, given that -31*q**3 + 0 - q**5 + 5*q**4 + 8*q - 4 - q**2 + 11*q**3 + 13*q**3 = 0.
-1, 1, 2
Let z(v) be the third derivative of v**8/336 - 2*v**7/105 + v**6/24 - v**5/30 - 6*v**2. Determine p so that z(p) = 0.
0, 1, 2
Let q(y) be the second derivative of y**7/210 + y**6/150 - 3*y**5/100 - y**4/12 - y**3/15 - y. Factor q(n).
n*(n - 2)*(n + 1)**3/5
Determine a so that 0*a**3 - 1/5*a**4 - 2/5*a + 3/5*a**2 + 0 = 0.
-2, 0, 1
Let 8/5*h**3 + 12/5*h**2 + 8/5*h + 2/5*h**4 + 2/5 = 0. Calculate h.
-1
Suppose 0 = -4*a + 62 - 50. Let l(f) be the first derivative of -3 + 0*f + 1/8*f**2 - 1/12*f**a. Factor l(t).
-t*(t - 1)/4
Let t(k) be the third derivative of -k**6/300 + k**5/50 - k**4/30 + 36*k**2. Solve t(a) = 0.
0, 1, 2
Suppose 0 = -4*p - 4 + 12. Solve 2*h**p - 5*h - h**5 + 2*h - 2*h**4 + 4*h = 0 for h.
-1, 0, 1
Suppose -i + 26 = -3*f + i, -3*f = 2*i + 22. Let m be (f/14)/(2/(-7)). Find c, given that -1/4*c + 1/4*c**m + 0 = 0.
0, 1
Let g(k) be the first derivative of 2*k**4/7 + 2*k**3/7 - k**2/7 + 1. Find c such that g(c) = 0.
-1, 0, 1/4
Let z(s) = s**3 - 15*s**2 - 16*s. Let b(l) = -3*l**3 + 29*l**2 + 32*l. Let w(x) = 3*b(x) + 7*z(x). Factor w(n).
-2*n*(n + 1)*(n + 8)
Find x, given that -x**2 - 44 - 20 - 170*x + 186*x = 0.
8
Solve -2/13*x - 2/13*x**2 + 12/13 = 0 for x.
-3, 2
Factor -2/7*o - 2/7*o**2 + 4/7.
-2*(o - 1)*(o + 2)/7
Let o(x) be the third derivative of x**7/420 - x**6/240 - x**5/24 - x**4/16 + 7*x**2. Factor o(i).
i*(i - 3)*(i + 1)**2/2
Find t such that 8/7*t**2 - 4/7*t**4 + 20/7*t**3 - 10/7*t**5 - 10/7*t - 4/7 = 0.
-1, -2/5, 1
Let n = -11 - -12. Suppose -5*l + 9 + n = 0. Let 0*v - 1/2*v**5 + 3/2*v**4 + 1/2*v**l + 0 - 3/2*v**3 = 0. Calculate v.
0, 1
Let o(m) be the first derivative of -m**4/34 - 8*m**3/51 - 5*m**2/17 - 4*m/17 + 10. Find a such that o(a) = 0.
-2, -1
Suppose -v + 0 = -l - 4, 0 = -3*v - 2*l + 2. Factor -7*d + v*d + 2*d**3 + 2*d**2 + d + 0*d**2.
2*d*(d - 1)*(d + 2)
Let y(k) be the third derivative of 1/240*k**6 + 0 + 5*k**2 - 1/60*k**5 + 1/48*k**4 + 0*k**3 + 0*k. Find c such that y(c) = 0.
0, 1
Let n = 20 - 16. Let d(s) be the first derivative of -5/12*s**n + 0*s - 1/5*s**5 - 2/9*s**3 + 2 + 0*s**2. Factor d(r).
-r**2*(r + 1)*(3*r + 2)/3
Let j = -18 - -20. Factor n + n - j - 2*n + 2*n**2.
2*(n - 1)*(n + 1)
Let h(r) be the first derivative of 4 + 1/4*r**4 - r + 1/3*r**3 - 1/2*r**2. Factor h(z).
(z - 1)*(z + 1)**2
Let q(a) be the second derivative of -a**7/56 + a**6/10 - 3*a**5/16 + a**4/8 - 11*a. Suppose q(t) = 0. What is t?
0, 1, 2
Let n = 4 + -2. Factor -5 + 3 - 6*z - 2*z**4 + 4*z**3 - 4*z**n + 8*z**4 + 2*z**5.
2*(z - 1)*(z + 1)**4
Suppose 2*t**4 + 2*t**5 - 6*t**3 + 3*t**3 - 2*t**2 + t**3 = 0. What is t?
-1, 0, 1
Let j(h) be the first derivative of 15/4*h**2 + 3 + 6*h**3 - 3*h. Find t such that j(t) = 0.
-2/3, 1/4
Let i = -21 + 1. Let q = i + 20. Factor 0*h**2 + 0*h**4 + 0 + q*h - 2/3*h**5 + 2/3*h**3.
-2*h**3*(h - 1)*(h + 1)/3
Let l(h) = -h**3 + 7*h**2 - 8*h + 15. Let j be l(6). Suppose -j*a = a. Find g, given that 1/3*g - g**2 - 4/3*g**3 + a = 0.
-1, 0, 1/4
Let r = 16 - 1. Let x be 102/10 + (-3)/r. Factor -4 - 2*z - 7*z**2 + x*z + 8*z.
-(z - 2)*(7*z - 2)
Let b**5 + 36*b**2 + 56*b**3 + 4*b**4 + 9*b**4 - 8*b**3 = 0. What is b?
-6, -1, 0
Suppose -24/17*p + 8/17 - 12/17*p**3 + 2/17*p**4 + 26/17*p**2 = 0. What is p?
1, 2
What is o in -4*o**2 - 5*o - 29*o**5 + 32*o**2 + 68*o**4 + o + 5*o**5 - 68*o**3 = 0?
0, 1/3, 1/2, 1
Let g = -15 + 21. Let f(j) be the third derivative of j**2 + 0*j**3 + 1/9*j**4 + 2/45*j**5 + 0 - 1/60*j**g + 0*j. Factor f(y).
-2*y*(y - 2)*(3*y + 2)/3
Let i be 1*(0 + -1) + 3. Suppose -4*k + 8 = -i*k. Factor 3*c**2 + 3*c**4 - 8*c + 3*c**3 + 9*c + 0*c**3 - 2*c**k.
c*(c + 1)**3
Let t(o) be the third derivative of o**6/60 - o**5/30 + 4*o**2. Factor t(m).
2*m**2*(m - 1)
Let r(y) = 2*y**2 - 3*y - 2. Let d(a) = -a**2 + 2*a + 1. Let o = -4 - -7. Let b be (-6)/30 + 22/10. Let c(u) = b*r(u) + o*d(u). What is h in c(h) = 0?
-1, 1
Let l = 47 - 139/3. Let -l*i**2 + 0 - 2/3*i + 2/3*i**3 + 2/3*i**4 = 0. Calculate i.
-1, 0, 1
Let q be (-20)/150 + 82/165. Let -q*r + 0 + 2/11*r**2 = 0. What is r?
0, 2
Suppose -3*x = -5*y + 50, -5*y + 4*x = -2 - 48. Suppose -8 = -4*b, -2*t + 2 = 3*b - y. Factor h + h - h**t - h**3.
-2*h*(h - 1)*(h + 1)
Let f be (16/6)/((-6)/(-9)). Suppose 62*n**3 - 30*n**4 + 7*n**2 - f - 11*n**4 - 4*n**4 - 20*n = 0. What is n?
-2/5, -2/9, 1
Factor 5*k + 12*k**3 + 131 + 8*k**4 + 2*k**5 - 131 - 3*k + 8*k**2.
2*k*(k + 1)**4
Let 8/7*h - 2/7*h**2 + 10/7 = 0. Calculate h.
-1, 5
Factor 4/9*w**2 + 0 - 4/9*w**4 - 2/9*w**5 + 2/9*w + 0*w**3.
-2*w*(w - 1)*(w + 1)**3/9
Let j(m) be the second derivative of m**5/80 - m**4/16 + m**3/8 - m**2/8 - 7*m. Find b such that j(b) = 0.
1
Let i(s) be the first derivative of 2/15*s**3 + 1/10*s**4 + 0*s + 0*s**2 - 1/15*s**6 - 2 - 2/25*s**5. Suppose i(o) = 0. What is o?
-1, 0, 1
Let a be 2*(-1 - (0 + -2)). Let d = -3/31 - -46/155. Factor -d*o - 1/5*o**a + 0.
-o*(o + 1)/5
Let a(d) be the third derivative of -2*d**5/165 + 13*d**4/132 - d**3/11 - 5*d**2. Factor a(g).
-2*(g - 3)*(4*g - 1)/11
Let w(r) be the third derivative of 1/180*r**6 + 0*r**4 + 1/72*r**8 + 0*r**5 + 0 + 0*r**3 + 11/630*r**7 + 0*r - 3*r**2. Factor w(i).
i**3*(2*i + 1)*(7*i + 2)/3
Let g(q) = -3*q**4 + 2*q**3 + q**2 - 2*q. Let m be (-2)/(-1) + (2 - 2). Let k(b) = -7*b**4 + 4*b**3 + 3*b**2 - 5*b. Let c(z) = m*k(z) - 5*g(z). Factor c(x).
x**2*(x - 1)**2
Let k(q) be the second derivative of -1/10*q**6 + 0*q**2 - 1/4*q**4 - 3/10*q**5 + 0*q**3 + 0 + 4*q. Factor k(j).
-3*j**2*(j + 1)**2
Let f = -51 - -460/9. Let n(o) be the third derivative of f*o**3 + 1/315*o**7 + 0 + 0*o**4 - 2*o**2 + 0*o + 0*o**6 - 1/45*o**5. Factor n(v).
2*(v - 1)**2*(v + 1)**2/3
Let h(s) = 6*s**4 - 6*s**2 + 3*s + 6. Let a(j) = -5*j**4 + 6*j**2 - 2*j - 5. Let f(k) = -3*a(k) - 2*h(k). Determine p so that f(p) = 0.
-1, 1
Let x(l) be the third derivative of -l**7/21 + l**6/15 + 7*l**5/150 - l**4/30 - 25*l**2. Suppose x(r) = 0. Calculate r.
-2/5, 0, 1/5, 1
Let a(c) = -c**3 - 6*c**2 + 6*c - 2. Let k be a(-7). Solve 2*h - 12*h**2 + 2*h + 13*h**3 - 7*h**