e second derivative of -1/84*o**4 + 0 + 7*o + 0*o**3 + 1/14*o**2. Determine b so that n(b) = 0.
-1, 1
Let g(i) be the first derivative of 3*i**3 + 3*i**2/2 - 12*i + 7. Factor g(h).
3*(h - 1)*(3*h + 4)
Let r = 0 + 4. Suppose 0*h + 5*h = -r*x + 7, 0 = -4*x - 8. Factor 1/2*p**4 - 2*p**h - p + 5/2*p**2 + 0.
p*(p - 2)*(p - 1)**2/2
Let f(z) be the first derivative of z**7/840 + z**6/480 - z**5/120 - 2*z**2 + 4. Let v(l) be the second derivative of f(l). Find j such that v(j) = 0.
-2, 0, 1
Let g(t) be the third derivative of 0 + t**2 - 1/90*t**6 - 1/30*t**5 - 1/630*t**7 - 1/18*t**3 - 1/18*t**4 + 0*t. Let g(m) = 0. Calculate m.
-1
Let b(m) = m**3 + 5*m**2 + 4*m - 6. Let z be b(-3). Determine q so that z + 4/9*q + 2/9*q**2 = 0.
-2, 0
Suppose -u = 4*u - 105. Suppose 6*r = -r + u. Factor 3*o**4 - 5/3*o**2 + 0 + o**r + 1/3*o.
o*(o + 1)*(3*o - 1)**2/3
Let u(g) be the second derivative of -g**4/3 - 4*g**3/3 + 6*g**2 + 7*g. Factor u(h).
-4*(h - 1)*(h + 3)
Let k(b) be the second derivative of -b**7/3780 + b**5/180 - b**4/54 - b**3/2 - 3*b. Let h(z) be the second derivative of k(z). Factor h(j).
-2*(j - 1)**2*(j + 2)/9
Let p be 14/30 + (-4)/30. Let d(a) be the third derivative of 0*a - 1/30*a**5 + 0 - 2*a**2 + 0*a**4 + p*a**3. Determine l, given that d(l) = 0.
-1, 1
Let x(a) be the first derivative of a**6/360 - a**5/60 - 4*a**3/3 + 3. Let o(w) be the third derivative of x(w). What is n in o(n) = 0?
0, 2
Let p = 449 + -447. Factor -4/7*d**p + 2/7*d**4 + 0 - 2/7*d**3 + 0*d.
2*d**2*(d - 2)*(d + 1)/7
Let q(i) = -147*i**3 + 210*i**2 + 36*i - 84. Let p(n) = 21*n**3 - 30*n**2 - 5*n + 12. Let m(j) = 15*p(j) + 2*q(j). Let m(u) = 0. What is u?
-4/7, 1
Let n be 15/((-3)/(-2)*1). Let g be 6*4/n + -2. Solve g*h - 2/5*h**2 + 4/5 = 0.
-1, 2
Let g = -783 + 7049/9. Suppose 0*w**2 + 0 - 2/9*w**5 + 0*w**4 + 4/9*w**3 - g*w = 0. Calculate w.
-1, 0, 1
Let y be (2*3)/(-7 + 9 - 0). Let g(w) be the first derivative of -11/2*w**y - 3/2*w**2 - 2 - 27/8*w**4 + 0*w. Let g(t) = 0. What is t?
-1, -2/9, 0
Suppose -6 = -3*f - 0. Factor -2 + 8*p - 3*p**2 + 2*p**3 + 2*p**4 - 18*p - f - 3*p**2.
2*(p - 2)*(p + 1)**3
Let c(u) be the second derivative of -u**5/10 + u**4/3 + u**3/3 - 2*u**2 + 13*u. Let c(b) = 0. Calculate b.
-1, 1, 2
Let v(s) be the second derivative of s + 1/4*s**4 + 0 + 3/2*s**3 + 3*s**2. Factor v(z).
3*(z + 1)*(z + 2)
Suppose 0 = 2*b - 5*d + 20, 2 = -4*d + 18. Factor -140/3*j**4 - 50/3*j**5 - 56/3*j**2 - 8/3*j - 46*j**3 + b.
-2*j*(j + 1)**2*(5*j + 2)**2/3
Let t(k) = 8*k + 107. Let s be t(-13). What is q in 3*q**2 - 1/2*q**s + 4 - 6*q = 0?
2
Let m be (5*12/(-45))/((-4)/1). Factor -z**3 + 2/3*z**2 + 0 + m*z**4 + 0*z.
z**2*(z - 2)*(z - 1)/3
Let x(r) = -2*r - 9. Let f be x(-7). Let i(a) be the second derivative of 7/48*a**4 - 2/15*a**6 + 0 + 2*a + 1/24*a**3 + 0*a**2 + 1/10*a**f. Factor i(o).
-o*(o - 1)*(4*o + 1)**2/4
Let z = 5 + -14. Let x be 4/18 - (-2)/z. Factor 0*l**2 + 2*l**2 - l**2 + x*l + l.
l*(l + 1)
Suppose 4*w = -2*d - 0*w - 12, 14 = 5*d - w. Let a = d - -1. Let -m**5 - 1 + 1 + m**a - 2*m**3 - 2*m**4 = 0. Calculate m.
-1, 0
Let p(a) be the third derivative of 1/1080*a**6 + 0*a + a**2 + 0*a**5 + 1/3*a**3 + 0 + 0*a**4. Let x(c) be the first derivative of p(c). Solve x(h) = 0.
0
Let v(o) = -o**2 + 6*o - 1. Let n be v(6). Let p be (-32)/(-10) - n/(-5). Let g**2 + 0 - 3 + p = 0. Calculate g.
0
Let n(c) = -17*c**2 + 4*c + 3. Let w(b) = b**3 + 8. Let r be w(0). Let p(d) = 26*d**2 - 6*d - 4. Let m(z) = r*n(z) + 5*p(z). Solve m(v) = 0 for v.
-2/3, 1
Let m(b) be the second derivative of 2*b**6/15 - 4*b**5/5 + 4*b**4/3 - 2*b - 2. Factor m(u).
4*u**2*(u - 2)**2
Let q(c) = -8*c**3 + 10*c**2 + 4*c. Let t(r) = -9*r**3 + 11*r**2 + 5*r. Let d(i) = -7*q(i) + 6*t(i). Factor d(z).
2*z*(z - 1)**2
Factor 6*d - 3/5*d**2 - 15.
-3*(d - 5)**2/5
Let j(d) be the second derivative of d**7/42 + d**6/15 - 3*d**5/20 - 2*d**4/3 - 2*d**3/3 - 5*d - 2. Let j(f) = 0. What is f?
-2, -1, 0, 2
Let j(f) be the second derivative of -f**6/15 + 4*f**5/25 - f**4/30 - 2*f**3/15 - 6*f. Factor j(c).
-2*c*(c - 1)**2*(5*c + 2)/5
Let y(c) be the second derivative of -c**4/3 - 2*c**3/3 - c. Factor y(d).
-4*d*(d + 1)
Solve 0*t - 2/3*t**3 + 2/9*t**4 - 8/9*t**2 + 0 = 0 for t.
-1, 0, 4
Let s(d) = -23*d**3 + 6*d**2 + 23*d + 11. Let m(n) = 8*n**3 - 2*n**2 - 8*n - 4. Let k(r) = 17*m(r) + 6*s(r). Factor k(c).
-2*(c - 1)**2*(c + 1)
Suppose 8 = i - b, -4*i + 16 = -0*b + 4*b. Suppose -c - 15 = -2*p + 2*c, -27 = -5*p + 4*c. Solve p*k**3 + 4*k**3 - i*k**3 + 4*k**2 + k**3 + 2*k = 0.
-1, 0
Suppose 0*r - r = 0. Suppose 2*l - 4*l + 4 = r. Factor 2/7*j**l + 2/7 - 4/7*j.
2*(j - 1)**2/7
Let g(r) be the first derivative of r**7/63 - r**5/15 + r**3/9 + 2*r - 2. Let o(k) be the first derivative of g(k). Let o(p) = 0. What is p?
-1, 0, 1
Let m(j) be the first derivative of j**7/735 - j**6/210 + j**5/210 - 3*j**2/2 - 3. Let d(q) be the second derivative of m(q). Factor d(n).
2*n**2*(n - 1)**2/7
Let j(d) be the third derivative of d**8/3024 + d**7/945 - d**5/270 - d**4/216 - 16*d**2. Factor j(t).
t*(t - 1)*(t + 1)**3/9
Let f(o) be the first derivative of 2/7*o**2 + 2/21*o**3 + 3 + 2/7*o. Factor f(j).
2*(j + 1)**2/7
Let q(v) be the third derivative of v**5/120 + v**4/16 + v**3/6 - v**2. Solve q(y) = 0 for y.
-2, -1
Solve -6/5*l**4 - 6/5*l + 0 - 3/5*l**2 + 3*l**3 = 0 for l.
-1/2, 0, 1, 2
Let r(f) be the third derivative of f**7/7560 + f**6/2160 - f**5/180 + f**4/8 + 7*f**2. Let i(d) be the second derivative of r(d). Factor i(n).
(n - 1)*(n + 2)/3
Let c(y) be the first derivative of -2*y + 4 - 2*y**2 - 2/3*y**3. Factor c(g).
-2*(g + 1)**2
Let w(g) = -g - 5. Let r be w(-8). Solve y**r + 0 + 6*y**2 + 2*y**3 + 0 - 3*y**4 = 0.
-1, 0, 2
Let n(y) be the third derivative of -2*y**5/15 - y**4/4 + y**3/3 - 5*y**2. Let n(l) = 0. What is l?
-1, 1/4
Let k = 5 + -5. Solve 7*c**3 + 4*c**2 + c**3 + 4*c**4 + k*c**3 = 0.
-1, 0
Let g(w) be the second derivative of 2/15*w**6 + 2/5*w**5 + 0*w**2 + 0*w**3 + 7*w + 0 + 1/3*w**4. Factor g(n).
4*n**2*(n + 1)**2
Let r be (-4)/(-38) + 162/266. Factor -r*s - 4/7*s**2 - 2/7 - 1/7*s**3.
-(s + 1)**2*(s + 2)/7
Let l(b) = b**2 + 2*b. Let g be l(-2). Let w = g - -3. What is c in 2*c**2 + c**w + 2*c**3 - 8*c**2 + 3*c = 0?
0, 1
Factor -w**2 - 7*w**2 - 2*w - w**2 + 11*w - 3 + 3*w**3.
3*(w - 1)**3
Let s be 6*(2 - (-20)/(-6)). Let n be ((-2)/6)/(s/72). Let 5*f - 2 - 2*f**n - 3*f + 2 = 0. Calculate f.
-1, 0, 1
Find j, given that -10/3*j**4 + 0 - 4/3*j**5 + 0*j - 2/3*j**3 + 4/3*j**2 = 0.
-2, -1, 0, 1/2
Let v be (-45)/(-21) + 3/(-21). Solve -1/3*x + 0 - 1/3*x**v = 0.
-1, 0
Let l(a) = -5*a**3 + a. Let s be l(-1). Factor -3*k**3 + 5*k**s - 2*k - 13*k**4 - 4*k**2 + 17*k**3.
-2*k*(k - 1)**2*(4*k + 1)
Let o(v) be the third derivative of 1/120*v**6 + 0 - 1/420*v**7 + 0*v - v**2 + 1/120*v**5 - 1/24*v**4 + 0*v**3. What is n in o(n) = 0?
-1, 0, 1, 2
Let t(p) be the third derivative of p**8/20160 - p**7/2520 + p**6/720 - p**5/60 - 4*p**2. Let s(w) be the third derivative of t(w). Factor s(b).
(b - 1)**2
Let l(r) be the second derivative of -r**5 - 1/21*r**7 - 5/3*r**3 - 5/3*r**4 + 2*r + 0 - r**2 - 1/3*r**6. Factor l(x).
-2*(x + 1)**5
Suppose -k + l + 6 = 0, -23*k - 3*l = -21*k + 8. What is c in 0 + 0*c**k - 1/2*c + 1/2*c**3 = 0?
-1, 0, 1
Let 6*b**3 - 32 + 9*b**2 + 45 - 22 - 3*b**3 - 3*b = 0. Calculate b.
-3, -1, 1
Let c be (-447)/(-285) + 1/(-5). Let i = c - -22/95. Factor -i*d + 8/5 + 2/5*d**2.
2*(d - 2)**2/5
Let x(o) = -2*o**2 - 4*o + 2. Let s(c) = c + 2. Let l be s(-3). Let m = l + 4. Let h(r) = -r**3 - 2*r**2 - 5*r + 2. Let v(t) = m*x(t) - 2*h(t). Factor v(p).
2*(p - 1)**2*(p + 1)
What is g in -3 + 33*g**2 - 41*g**2 + 7 + 4*g**4 = 0?
-1, 1
Let r(f) = -3*f + 71. Let j be r(22). Solve 0*w + 0 + 0*w**2 + 4/3*w**3 + 1/3*w**j + 4/3*w**4 = 0.
-2, 0
Let w(t) = -3*t**2 + 19*t + 15. Let d(z) = -2*z**2 + 10*z + 7. Let i(f) = -10*d(f) + 6*w(f). Factor i(b).
2*(b + 2)*(b + 5)
Let k(m) be the second derivative of -1/2*m**3 + 3*m + 7/90*m**6 - 1/3*m**2 + 3/20*m**5 - 5/36*m**4 + 0. Suppose k(l) = 0. What is l?
-1, -2/7, 1
Let a(l) be the first derivative of 2*l**5/55 + 5*l**4/22 + 6*l**3/11 + 7*l**2/11 + 4*l/11 + 6. What is w in a(w) = 0?
-2, -1
Let n(l) = -l + 7. Let w(m) = -1. Let s(i) = n(i) + 6*w(i). Let a be s(-4). Factor -a*z**3 + 0*z**4 + z**3 - 2*z**4.