ive of -1/6*q**3 + 0*q + 1/60*q**r + 1/120*q**6 - 1/24*q**4 + 0 - q**2. Solve l(v) = 0 for v.
-1, 1
Let c(t) = -19*t**5 - 3*t**4 + 35*t**3 - 19*t**2 - 27*t. Let y(h) = 5*h**5 + h**4 - 9*h**3 + 5*h**2 + 7*h. Let r(i) = -6*c(i) - 22*y(i). What is m in r(m) = 0?
-1, 0, 1, 2
Let q(a) be the second derivative of a**4/42 + 8*a**3/21 + 16*a**2/7 + 8*a. Find i such that q(i) = 0.
-4
Factor 4*z + z**4 + z**4 - 4*z**3 + 12*z**2 + 2*z**4 + 16*z**3.
4*z*(z + 1)**3
Let d(a) be the first derivative of 2*a**5/5 - a**4/10 - 2*a**3/3 + a**2/5 + 4. Let d(f) = 0. Calculate f.
-1, 0, 1/5, 1
Let s = 47 + -45. Let n(t) be the second derivative of -2*t**3 + t - 1/6*t**4 - 9*t**s + 0. Solve n(c) = 0.
-3
Let o(m) be the third derivative of -m**5/180 + m**4/36 - 7*m**2. Find l such that o(l) = 0.
0, 2
Let d(p) be the first derivative of p**6/40 - 5*p**2/2 - 2. Let k(j) be the second derivative of d(j). Factor k(r).
3*r**3
Let q be 3/(-5)*(-20)/4. Factor -12*a**4 + 0*a**3 + 12*a**2 - q*a**3 + 0*a**3 + 3*a.
-3*a*(a - 1)*(a + 1)*(4*a + 1)
Let h(v) be the second derivative of v**4/4 + v**3 - 9*v**2/2 - 8*v. Factor h(d).
3*(d - 1)*(d + 3)
Let a(x) be the second derivative of -x**6/120 + x**5/80 + x**4/48 - x**3/24 + 3*x. Factor a(s).
-s*(s - 1)**2*(s + 1)/4
Let x(w) = w**3 - 18*w**2 + 16*w + 19. Let p be x(17). Solve -2/3*f**p + 2/3*f + 4/3 = 0 for f.
-1, 2
Let t(l) be the third derivative of 0 + 0*l + 1/40*l**6 + 1/20*l**5 + 0*l**3 - 1/4*l**4 - 4*l**2. Find q such that t(q) = 0.
-2, 0, 1
Let r(l) = l**2 - 12*l - 187. Let k be r(-9). Factor 2/3*n + 0 + 1/3*n**k.
n*(n + 2)/3
Solve 3/4*t**4 + 0 + 0*t + 0*t**2 - 1/2*t**3 = 0.
0, 2/3
Let d(g) be the third derivative of -g**8/840 + 2*g**7/175 - 13*g**6/300 + 2*g**5/25 - g**4/15 - 22*g**2. Let d(i) = 0. What is i?
0, 1, 2
Let h = -5 - -8. Let z(a) = a**3 + 4*a**2 - 5*a + 4. Let q be z(-5). Factor -2*v**h + 1/2 - 2*v + 1/2*v**q + 3*v**2.
(v - 1)**4/2
Let u(o) = -435*o**4 - 3135*o**3 - 6665*o**2 - 5655*o - 1065. Let s(d) = -31*d**4 - 224*d**3 - 476*d**2 - 404*d - 76. Let r(p) = 55*s(p) - 4*u(p). Factor r(n).
5*(n + 2)**3*(7*n + 2)
Suppose -4*j - 5*y + 3 - 5 = 0, -y = -5*j + 12. Let h(a) be the first derivative of 1/2*a**4 - 4/3*a**3 + j + 0*a + a**2. Determine x so that h(x) = 0.
0, 1
Let s(f) be the second derivative of f**6/210 - f**4/42 - 2*f**2 + 6*f. Let q(u) be the first derivative of s(u). Factor q(k).
4*k*(k - 1)*(k + 1)/7
Let p = 20 + -18. Solve 4/3*a - 5/3*a**3 - 8/3 + 2*a**p + 1/3*a**4 = 0.
-1, 2
Let w(j) = j**2 + j + 1. Suppose h = -4*s + s + 2, -5*s = -h + 10. Let f(r) = -3*r**3 + 14*r**2 - r + 5. Let y(g) = h*w(g) - f(g). Suppose y(x) = 0. What is x?
0, 1, 2
Suppose 2*x + 4 = -2*x. Let f be (3/9)/(x/(-6)). Factor -2/3*j**3 + 2*j**f + 2/3 - 2*j.
-2*(j - 1)**3/3
Factor 0 + 3/2*k + 2*k**2.
k*(4*k + 3)/2
Let c be -6*(-2)/18*6 + -4. Let t(n) be the second derivative of 0*n**3 - 1/5*n**6 + n + 3/10*n**5 + c*n**2 - 1/6*n**4 + 1/21*n**7 + 0. Let t(j) = 0. What is j?
0, 1
Factor -6 + 27/2*f - 9*f**2 + 3/2*f**3.
3*(f - 4)*(f - 1)**2/2
Let l = 2461/21 + -117. Let b(q) be the second derivative of -2/21*q**4 + 0 + 2*q + l*q**3 + 0*q**2 - 3/70*q**5. Suppose b(f) = 0. Calculate f.
-2, 0, 2/3
Factor k**2 + 0*k**2 + 4*k**2 + 2*k - 3*k**2.
2*k*(k + 1)
Let l(d) = -7*d**2 + 4*d - 5. Let w(a) = 4*a**2 - 2*a + 3. Let o(h) = -3*l(h) - 5*w(h). Find v such that o(v) = 0.
0, 2
Determine k so that -2/7*k + 0 - 2/7*k**4 + 2/7*k**2 + 2/7*k**3 = 0.
-1, 0, 1
Let q(l) be the second derivative of -l**4/12 + 5*l**3/6 - l**2/2 - 2*l. Let m be q(4). Solve 0 + 0*c + 1/3*c**m - 1/3*c**4 + 0*c**2 = 0.
0, 1
Let o(u) be the first derivative of 2*u**5/15 - 5*u**4/12 + u**3/3 + u**2/6 - u/3 + 15. Factor o(h).
(h - 1)**3*(2*h + 1)/3
Let n(v) be the third derivative of v**6/40 + 3*v**5/20 - 15*v**2. Determine a so that n(a) = 0.
-3, 0
Determine s so that 0 - 28/3*s**3 + 0*s + 10*s**4 - 3*s**5 + 8/3*s**2 = 0.
0, 2/3, 2
Let i be 1 + 3/(-3) + 2. Solve -1 - i*d**3 - 3*d + 6*d + 2*d**2 - 2*d + d**5 - d**4 = 0 for d.
-1, 1
Let g(v) be the second derivative of v**7/21 - v**6/9 - 2*v**5/15 + 2*v**4/9 - 4*v. Let g(t) = 0. Calculate t.
-1, 0, 2/3, 2
Let x(u) be the first derivative of -5/27*u**6 + 16/45*u**5 - 2 - 1/18*u**4 - 4/27*u**3 + 0*u**2 + 0*u. Factor x(b).
-2*b**2*(b - 1)**2*(5*b + 2)/9
Suppose 0*l + 2 = l. Let h = l + 2. Factor -b**2 + 0*b**5 + 2*b**5 + 0*b**2 + 0*b**4 - 2*b**3 + b**h.
b**2*(b - 1)*(b + 1)*(2*b + 1)
Let n = 27 + -27. Let w(m) be the second derivative of 0*m**3 + 0*m**4 + n*m**2 - 1/10*m**5 + 0 - 1/15*m**6 + 3*m. Let w(x) = 0. Calculate x.
-1, 0
Let d(h) be the first derivative of h**4 + 0*h**3 + 0*h + 0*h**2 - 8/5*h**5 + 1 + 2/3*h**6. Let d(b) = 0. What is b?
0, 1
Let l be (8/6)/((-7)/((-84)/8)). Factor 0 - 1/2*j**4 - 5/2*j**2 - l*j**3 - j.
-j*(j + 1)**2*(j + 2)/2
Let z(y) = -4*y**3 - 4*y - 3. Let p be z(-1). Let w(i) be the first derivative of -3 + 0*i**2 + 1/12*i**3 - 1/20*i**p + 0*i + 0*i**4. Factor w(r).
-r**2*(r - 1)*(r + 1)/4
Let l(g) be the second derivative of -2*g**6/5 + 37*g**5/60 + g**4/36 - g**3/9 - 4*g. Suppose l(u) = 0. Calculate u.
-2/9, 0, 1/4, 1
Let x be 1*(-3 - -1*8). Suppose x*k - 5*f - 30 = 0, -f + 3 = -k - 3*f. Determine j, given that -10/9*j**2 + 2/3*j**k - 2/9*j**5 + 0 + 2/9*j**4 + 4/9*j = 0.
-2, 0, 1
Let c be -18*(2 - 6/4). Let d(h) = h + 10. Let l be d(c). Find k, given that 1/4*k**2 - k + l = 0.
2
Let t be (-70)/25 - (-2 + -1). Let y(i) be the second derivative of 0*i**2 + 1/5*i**6 + i - 5/21*i**7 + 0*i**4 + t*i**5 + 0 + 0*i**3. Solve y(m) = 0 for m.
-2/5, 0, 1
Let c(m) = m**2 - 10*m - 21. Let t be c(12). Find n such that -1/5 - 1/5*n**4 + 2/5*n**2 + 0*n**t + 0*n = 0.
-1, 1
Let p(z) be the second derivative of z**5/60 + z**4/18 + z**3/18 - 17*z. Factor p(g).
g*(g + 1)**2/3
Let x be 0 + (-30)/9 + 4. Let r be (-1)/(0 - (-9)/(-21)). Factor -r*y + 2/3*y**4 - 8/3*y**2 - 2/3 - x*y**3 + 1/3*y**5.
(y - 2)*(y + 1)**4/3
Let l be 1/(-5) + (-17)/(-20). Let w = -1/4 + l. Suppose 2/5 + 0*b - w*b**2 = 0. Calculate b.
-1, 1
Let a = -44/15 - -18/5. Let d = 10 + -6. Suppose 1/3*u**d - a*u**2 + 1/3 + 0*u + 0*u**3 = 0. What is u?
-1, 1
Factor -9/4*m + 9/4*m**2 - 3/4*m**3 + 3/4.
-3*(m - 1)**3/4
Let s(d) = 5*d. Let v(f) = f**3 + f**2 - 5*f - 1. Let x(k) = -4*s(k) - 5*v(k). Determine b, given that x(b) = 0.
-1, 1
Let w(r) = -2*r + 1. Let y be w(-4). Suppose -y = o - 4*o. Let o*l**2 + 4 - 2 - 1 - 4*l**2 = 0. Calculate l.
-1, 1
Let b be 5 - (-3 - -5 - -1). Let -85*n**3 + 82*n**3 - 4*n**2 + 2*n**b = 0. What is n?
-2/3, 0
Suppose 27 = -5*d - 28. Let g(y) = y**2 + 10*y - 9. Let j be g(d). Factor 2/3*s + 7/3*s**3 + 0 - 3*s**j.
s*(s - 1)*(7*s - 2)/3
Let o(w) = -w + 6. Let n be o(4). Factor -11*y**3 - 20*y**n + 9*y**3 - 14*y**3 - 4*y.
-4*y*(y + 1)*(4*y + 1)
Suppose 0 - 16 = -2*o. Let b = -6 + o. Factor 2*k - 2*k**4 + 6*k**3 - 3*k + 0 - 3*k**b - k**3 + 1.
-(k - 1)**3*(2*k + 1)
Let i(v) be the first derivative of -9*v**4/4 + 4*v**3 + 3*v**2 - 9. Let r(n) = -26*n**3 + 35*n**2 + 17*n. Let l(m) = 17*i(m) - 6*r(m). Factor l(w).
3*w**2*(w - 2)
Factor 9/4 - 3/4*q + 3/4*q**3 - 9/4*q**2.
3*(q - 3)*(q - 1)*(q + 1)/4
Let y(h) be the first derivative of 2*h**5/15 - 4*h**3/9 + 2*h/3 + 13. Let y(v) = 0. Calculate v.
-1, 1
Let z = 19/60 - 1/4. Let r(d) be the first derivative of 1/9*d**3 + z*d**5 - 1/6*d**4 + 0*d - 1 + 0*d**2. Factor r(f).
f**2*(f - 1)**2/3
Suppose -5*u + 4 + 11 = 0. Solve s**2 - 3*s**3 + 2*s**3 + 0*s**u + 2*s**3 = 0 for s.
-1, 0
Let o(p) = -p - 6. Let f be o(-9). Let c(w) be the first derivative of -4*w - f*w**2 - 1 - 2/3*w**3. Factor c(d).
-2*(d + 1)*(d + 2)
Let m be 8*(1 + (-2 - -2)). Let s be (-11)/(-10) - (-4)/m. Let -2/5*f**5 + 0 - 12/5*f**3 - 8/5*f**4 - 2/5*f - s*f**2 = 0. What is f?
-1, 0
Factor -2*o**4 + 174*o**5 - 171*o**5 - o**4.
3*o**4*(o - 1)
Let m = -4 - -9. Let v be m/3 - 3/9. Factor 0 + 0*w**2 + 0*w + 14/3*w**4 - v*w**3.
2*w**3*(7*w - 2)/3
Let q(t) be the first derivative of -t**6/36 + 7*t**5/60 - t**4/6 - 2*t**3 - 8. Let o(h) be the third derivative of q(h). Factor o(j).
-2*(j - 1)*(5*j - 2)
Suppose -5*j = -0*j. Let z be -2*1/(-6) + j. What is a in 0 - z*a**3 + 1/3*a - 1/3*a**4 + 1/3*a**2 = 0?
-1, 0, 1
Let c(v) be the first derivative of 6 - 2/5*v**2 - 2/5*v**3 - 1/10*v**4 + 0*v. Suppose c(n) = 0. What is n?
-2, -1, 0
Determine 