e first derivative of 0*m**2 - 2*m + 1/42*m**4 + 0*m**3 + 3. Let z(l) be the first derivative of h(l). Determine q so that z(q) = 0.
0
Let d(v) = -2 + 3*v + 1 - 4*v + 3*v. Let a be d(2). Determine t, given that -13/4*t**a + 3/2*t**2 - t**5 - 1/4*t + 0 + 3*t**4 = 0.
0, 1/2, 1
Factor 0*v**3 + 5*v + 15/2*v**2 + 0 - 5/2*v**4.
-5*v*(v - 2)*(v + 1)**2/2
Let f(p) be the second derivative of -3*p**5/40 + 5*p**4/24 - p**3/6 + 28*p. Factor f(k).
-k*(k - 1)*(3*k - 2)/2
What is j in -5*j**2 + 6 - 2 - 6 - 8 - 15*j = 0?
-2, -1
Let b(q) = -6*q + 1. Let g be b(-8). Let y be 35/g*12/15. Find s, given that y + 0*s**2 + 6/7*s - 2/7*s**3 = 0.
-1, 2
Let i(g) be the third derivative of g**5/180 + g**4/18 + 13*g**2. Factor i(q).
q*(q + 4)/3
Factor -8*g**5 - 512 - 18*g**3 - 4*g**2 - 24*g**4 + 512.
-2*g**2*(g + 2)*(2*g + 1)**2
Let v = -35/4 + 183/20. Determine q, given that -v*q**2 + 0 - 2/5*q = 0.
-1, 0
Let k = -25 + 11. Let y(v) = v**3 + 13*v**2 - 13*v + 16. Let l be y(k). Find b such that -2/3*b**2 - 4/3 + l*b = 0.
1, 2
Suppose -1 = -5*d + 9. Suppose 4*q = 0, -2*i - d = -3*i + 5*q. Factor -2*h + 4*h**2 - 3*h**i + 0*h + 3*h**3.
h*(h + 1)*(3*h - 2)
Let r(b) be the first derivative of -2/9*b**3 - 1/6*b**2 - 1/12*b**4 + 0*b + 2. Factor r(w).
-w*(w + 1)**2/3
Let u(v) = v**2 + 5*v - 6. Let g(n) = 2*n**2 + 9*n - 11. Let i(x) = -6*g(x) + 11*u(x). Factor i(s).
-s*(s - 1)
Let h(q) = 29*q**4 - 9*q**3 + 9*q**2 + 9. Let z(d) = 7*d**4 - 2*d**3 + 2*d**2 + 2. Let b(i) = -2*h(i) + 9*z(i). Factor b(j).
5*j**4
Let n = 264 - 264. Factor u**2 - u - 1/4*u**3 + n.
-u*(u - 2)**2/4
Let c(a) be the second derivative of -5*a**4/12 - 11*a**3/6 - 3*a**2 + 2*a. Let l(f) = f**2 + 2*f + 1. Let n(b) = -6*c(b) - 33*l(b). Factor n(i).
-3*(i - 1)*(i + 1)
Let d = 3/2 + 0. Determine q so that 3/2 - 3/2*q**2 + d*q**3 - 3/2*q = 0.
-1, 1
Let k be (2 - (-10)/(-8))/((-108)/(-96)). Let -4/3*u**3 + 4/3*u + k - 2/3*u**4 + 0*u**2 = 0. Calculate u.
-1, 1
Let y(v) = 3*v**5 - 2*v**4 - 3*v**3 + 8*v**2 - 2*v + 2. Let p(n) = 16*n**5 - 10*n**4 - 15*n**3 + 40*n**2 - 9*n + 11. Let l(u) = -2*p(u) + 11*y(u). Factor l(m).
m*(m - 2)*(m - 1)**2*(m + 2)
Suppose -5*t = 3*t - 32. Let y(p) be the second derivative of 0 - 1/3*p**3 + 2*p + 0*p**2 + 1/4*p**t - 1/20*p**5. Factor y(w).
-w*(w - 2)*(w - 1)
Let l(t) be the second derivative of t**7/28 + t**6/20 - 3*t**5/40 - t**4/8 - 51*t. Factor l(x).
3*x**2*(x - 1)*(x + 1)**2/2
Suppose g + 2*g - 9 = 0. Solve -2*f**2 - 2*f**2 + 7*f**4 - 2 + f**2 - 2*f**2 - 9*f + 9*f**g = 0.
-1, -2/7, 1
Let n = 215 + -212. Determine v so that 2/3*v - 4/3*v**2 + 0 + 2/3*v**n = 0.
0, 1
Let z(v) be the second derivative of -v**5/15 + 2*v**3/3 + 5*v**2/2 + 4*v. Let h(k) be the first derivative of z(k). Suppose h(c) = 0. What is c?
-1, 1
Let m = -271/4 - -68. Factor 0 + m*g + 1/4*g**2.
g*(g + 1)/4
Factor -2/3*n**2 + 2*n - 4/3.
-2*(n - 2)*(n - 1)/3
Let p(q) be the third derivative of -q**8/560 + q**7/350 + q**6/100 - q**2. Factor p(m).
-3*m**3*(m - 2)*(m + 1)/5
Let g(b) be the second derivative of -b**5/30 - b**4/3 - 5*b**3/9 - 15*b. Factor g(w).
-2*w*(w + 1)*(w + 5)/3
Suppose 0*q - 12 = -4*q. Let n(u) be the first derivative of 0*u + u**2 + 1 + 2/3*u**q. Solve n(t) = 0 for t.
-1, 0
Find r such that -1/6*r**2 + 4/3*r - 8/3 = 0.
4
Let q = 24 + -10. Suppose 16 = 3*d - 2*x, -4*d + q = -0*d + x. Factor -1/2 - 7/4*h**5 + 4*h**2 + 1/4*h - 17/2*h**3 + 13/2*h**d.
-(h - 1)**4*(7*h + 2)/4
Let f be (-1)/(-1*(3 - 1)). Suppose 5*a + 4*m = 16, 4*a + 3*m - 8 = m. Factor -f*j + 1/2*j**2 + a.
j*(j - 1)/2
Let l(o) be the third derivative of 0*o**3 - 1/225*o**5 + 0*o - 9*o**2 + 1/900*o**6 - 1/60*o**4 + 0. Factor l(r).
2*r*(r - 3)*(r + 1)/15
Suppose 4*u + 10 = 5*u. Suppose 0 = -5*o + u, -3*y - 2*o + 16 = 3*o. Factor 0*i + 0 + 1/4*i**y.
i**2/4
Suppose -p = 4*t - 58, -t - 3*t - 5*p + 66 = 0. Let n = 16 - t. Find q such that -2/5*q**3 + 4/5 + 8/5*q**2 - n*q = 0.
1, 2
Let x = 168/19 + -50381/5700. Let b(f) be the third derivative of 0*f**3 + 0 + 1/30*f**4 + 1/150*f**5 + 0*f - x*f**6 - 3*f**2. Find w, given that b(w) = 0.
-1, 0, 2
Let z = -45 - -49. Let s(l) be the first derivative of 0*l**z + 2*l - 4/3*l**3 + 2/5*l**5 - 2 + 0*l**2. Factor s(r).
2*(r - 1)**2*(r + 1)**2
Let c(a) be the third derivative of a**6/120 - a**5/10 + a**3/6 + a**2. Let o be c(6). Let -m**2 - 4*m - m + 3*m - o = 0. What is m?
-1
Let m be 182/21 + -9 - (-20)/6. Factor -g + 2/5 - 17/5*g**2 + 4*g**m.
(g - 1)*(4*g - 1)*(5*g + 2)/5
Let x = -194 + 197. What is o in -7/6*o**4 - 2/3 - 43/6*o**2 - 4*o - 5*o**x = 0?
-2, -1, -2/7
Let h(g) be the first derivative of -g**8/8400 + g**7/1050 - g**6/360 + g**5/300 + 5*g**3/3 - 1. Let m(d) be the third derivative of h(d). Factor m(j).
-j*(j - 2)*(j - 1)**2/5
Let j(q) = -q**2 + 8*q + 2. Let i be j(8). Find z, given that 6*z**i + 0 + 2*z - 5*z**2 + 0 = 0.
-2, 0
Let i be (-21)/(-15) + 6/(-15). Let n = i - -2. Suppose 3*g**n - 2*g**4 + 4*g**5 - 4*g**3 - 5*g**5 = 0. Calculate g.
-1, 0
Let g(f) = f**3 + f + 1. Let y(s) = 2*s**3 + 10*s. Let w = -12 + 8. Let t(d) = w*g(d) + y(d). Factor t(j).
-2*(j - 1)**2*(j + 2)
Let m(r) be the second derivative of -7*r**5/4 - 5*r**4/6 + 70*r**3/3 + 20*r**2 - 5*r. Determine i, given that m(i) = 0.
-2, -2/7, 2
Let b = -34 + 34. Factor 0*f**2 + 2/9*f**3 + b + 0*f.
2*f**3/9
Let g(x) = -16*x**3 + x**2. Let j be g(1). Let w be ((-6)/15)/(3/j). Factor -9/2*q**3 + 7/2*q**w - q + 0 + 5/2*q**4 - 1/2*q**5.
-q*(q - 2)*(q - 1)**3/2
Factor r**2 - 1/2 + 1/2*r + 1/2*r**5 - 1/2*r**4 - r**3.
(r - 1)**3*(r + 1)**2/2
What is t in 0*t + 1/4*t**4 + 0 + 81/4*t**2 - 9/2*t**3 = 0?
0, 9
Let s(k) be the third derivative of -k**8/28 - 2*k**7/105 + k**6/10 + k**5/15 + 8*k**2. Determine z, given that s(z) = 0.
-1, -1/3, 0, 1
Let i(y) = -y**3 - 10*y**2 - 12*y - 8. Let t(n) = -n**3 - 9*n**2 - 11*n - 7. Let q(b) = 4*i(b) - 5*t(b). Factor q(h).
(h + 1)**2*(h + 3)
Let r be 0 - (-1 - -1)/3. Let q be (0 - r)/3 + 0. Factor a - 5*a + 2 + 2*a**2 + q*a.
2*(a - 1)**2
Suppose -6 - 4 = -5*s. Suppose s*a = -6 + 14. Factor 0*v + 2/7*v**a + 4/7*v**2 - 6/7*v**3 + 0.
2*v**2*(v - 2)*(v - 1)/7
Suppose 18*w - 17*w + y = -2, -2*y - 6 = w. Factor -4/5*d + 4/5 + 1/5*d**w.
(d - 2)**2/5
Suppose -16*o + 33 = -5*o. Let h = 2 + 0. Factor -1/2*i + 1/4*i**h + 1/4*i**o + 0.
i*(i - 1)*(i + 2)/4
Let s(h) = h**2 - h. Let z be s(0). Suppose -3*y + y + 4 = z. Find t such that 0*t + 1/4*t**y + 0 = 0.
0
Let s = 44 - 131/3. Find a such that -1/3 + 2/3*a - s*a**2 = 0.
1
Let a = 30 + -26. Let j(u) be the first derivative of 1 + 9/4*u**4 + a*u**3 - 3/2*u**2 - 6*u. Determine p, given that j(p) = 0.
-1, 2/3
Let s(j) be the second derivative of -j**7/840 + j**6/360 + j**5/120 - j**4/24 - j**3/6 - 3*j. Let n(o) be the second derivative of s(o). Factor n(v).
-(v - 1)**2*(v + 1)
Let s = -10 + 14. Factor -5*n**4 + 0*n**4 - 3*n**3 + 2*n**3 + 6*n**s.
n**3*(n - 1)
Factor -19 + 2*f + f**2 + 19.
f*(f + 2)
Let h(q) be the third derivative of -q**7/420 + q**6/80 - q**5/40 + q**4/48 + 10*q**2. Factor h(v).
-v*(v - 1)**3/2
Find a such that -336*a - 302 - 90 + 10*a**3 - 12*a**3 + 54*a**2 = 0.
-1, 14
Let a(g) be the second derivative of 0 - 9*g + 1/12*g**4 + 1/20*g**5 + 3/2*g**2 - 5/6*g**3. What is f in a(f) = 0?
-3, 1
Let l(w) be the third derivative of 0 + 0*w + 1/30*w**5 + 1/30*w**4 + w**2 - 7/300*w**6 + 0*w**3. Let l(t) = 0. Calculate t.
-2/7, 0, 1
Suppose 0 = 33*j - 35*j + 8. Factor 4/9*c**2 - 2/9*c**j - 2/9 + 0*c**3 + 0*c.
-2*(c - 1)**2*(c + 1)**2/9
Let n(z) = -z**3 - z**2 - z. Let k(a) = -7*a**3 - 3*a**2 + 18*a - 9 + 18*a - 41*a. Let c(x) = 3*k(x) - 24*n(x). Let c(p) = 0. What is p?
-3, 1
Let j = -35 + 39. Let b(k) be the first derivative of -2/7*k - 128/35*k**5 - 2 - 8*k**j - 40/7*k**3 - 13/7*k**2. Determine s, given that b(s) = 0.
-1, -1/4
Suppose 5*t - 11 = -s - 0*s, 2*t = -s + 5. Let g(d) = d**2 + 6*d. Let l be g(-6). Suppose u**2 + l*u + t*u - 5 + 6 = 0. Calculate u.
-1
Let q(p) be the second derivative of p**5/20 + p**4/6 + p**3/6 + 2*p + 3. Factor q(s).
s*(s + 1)**2
Let j(z) = z**2 + 10 - 5*z + 13*z - 3. Let p be j(-7). Let p + 4/5*b**3 - 2/5*b**2 - 2/5*b**4 + 0*b = 0. Calculate b.
0, 1
Let u be (-3 + 11/3)/20. Let p(v) be the third derivative of 0*v**3 - u*v**5 + 0*v + 0 + 0*v**4 + 3*v**2 - 1/60*v**6. Factor p(l).
-2*l**2*(l + 1)
Let s(x) be the third derivative of 1/3