) be the first derivative of f(x). Factor w(k).
k**3*(k - 1)/4
Let k(c) be the third derivative of 5*c**8/336 - c**7/42 - c**6/24 + c**5/12 + 7*c**2. Factor k(v).
5*v**2*(v - 1)**2*(v + 1)
Let t(l) = -3*l**2 + 4*l. Let k(z) = 3*z**2 - 5*z. Let h(c) = -4*k(c) - 5*t(c). Factor h(o).
3*o**2
Let k(y) be the second derivative of -1/120*y**6 + 1/12*y**3 - 1/40*y**5 + 3*y + 0 + 0*y**4 + 1/8*y**2. Let k(h) = 0. What is h?
-1, 1
Let h(x) be the first derivative of -4*x**3/3 + 4*x**2 - 38. Factor h(p).
-4*p*(p - 2)
Suppose 4*y - 3*q = 146, -q - 2*q + 6 = 0. Let t be y/40 + (-4)/(-16). Solve -2/5 - t*j**2 + 2/5*j**3 + 6/5*j = 0.
1
Let q(u) = -65*u**4 - 120*u**3 + 30*u**2 + 120*u - 35. Let r(v) = -11*v**4 - 20*v**3 + 5*v**2 + 20*v - 6. Let f(c) = 6*q(c) - 35*r(c). Factor f(l).
-5*l*(l - 1)*(l + 1)*(l + 4)
Suppose 5*o - o = 4. Let l = o + 2. Determine c, given that 11*c**4 - 6*c**5 - 6*c**l + 12*c**4 - 9*c**4 + 4*c - 6*c**2 = 0.
-2/3, 0, 1
Factor -1/2*n**4 + 1/2*n**5 + 0*n + 1/2*n**2 + 0 - 1/2*n**3.
n**2*(n - 1)**2*(n + 1)/2
Let n = 1/348 + 1385/2436. Factor -4/7*f**3 + 2/7*f**5 + n*f**2 - 2/7*f**4 - 2/7 + 2/7*f.
2*(f - 1)**3*(f + 1)**2/7
Let b = -13 + 18. Let c(i) be the first derivative of -1 - 2*i**6 + 4*i**2 - 2*i**5 + 3*i**4 - b*i**2 - 3*i**2 + 2*i**3 + 2*i**2. Find z such that c(z) = 0.
-1, 0, 1/2, 2/3
Let i(r) be the second derivative of -r**7/21 + 2*r**6/25 - r**5/50 + 3*r. Suppose i(w) = 0. Calculate w.
0, 1/5, 1
Let u(r) be the third derivative of -r**5/45 + 2*r**4/9 - 8*r**3/9 + 3*r**2. Determine y so that u(y) = 0.
2
Let n(x) be the second derivative of 8*x - 3/4*x**5 - 7/2*x**3 - 3*x**2 + 0 - 9/4*x**4 - 1/10*x**6. What is m in n(m) = 0?
-2, -1
Suppose -s - 3*s = -3*b - 12, 2*b - 15 = -5*s. Let l(v) be the second derivative of b - 2/3*v**2 + 5/36*v**4 - 2*v - 4/9*v**3. Factor l(p).
(p - 2)*(5*p + 2)/3
Factor 8/17*f**3 + 0*f**2 - 8/17*f**4 + 2/17*f**5 + 0*f + 0.
2*f**3*(f - 2)**2/17
Let m(z) = -z**3 + 7*z**2 + z - 3. Let g = 5 + 2. Let a be m(g). Suppose -h**5 - 4*h**2 + 2*h**2 - 2*h**a + h + 4*h**2 = 0. What is h?
-1, 0, 1
Let r(w) be the second derivative of -8*w**6/15 - w**5 - w**4/3 - 13*w. Find f such that r(f) = 0.
-1, -1/4, 0
Let y(b) = -b**5 - b**4 + b**2 + 1. Let f(p) = -20*p**5 - 20*p**4 - 4*p**3 + 2*p**2 + 2. Let a(m) = f(m) - 2*y(m). Determine t, given that a(t) = 0.
-2/3, -1/3, 0
Let w(n) be the first derivative of 1183*n**4/4 - 234*n**3 + 66*n**2 - 8*n + 11. Factor w(x).
(7*x - 2)*(13*x - 2)**2
Let p be 6/4*(-24)/(-9). Solve 4*v**4 + 2*v**2 - v**3 - 3*v**p - 6*v**4 + 4*v**4 = 0.
-2, 0, 1
Let k = 0 - -4. Let w be ((-28)/(-105))/(k/10). Suppose -w*y - 1/3*y**2 - 1/3 = 0. Calculate y.
-1
Suppose -3*j + 5*z + 0*z = -26, 3*z = 4*j - 20. Let g(f) be the first derivative of -j*f**2 - 1 - 2/3*f**3 - 2*f. Determine n so that g(n) = 0.
-1
Let g(s) be the third derivative of 1/90*s**5 + 0 - 2/9*s**3 - 2*s**2 + 0*s + 1/36*s**4. Factor g(t).
2*(t - 1)*(t + 2)/3
Let c(p) = 8*p**3 - 30*p**2 - 56*p - 18. Suppose -j = -0*j + 14. Let n(y) = -3*y**3 + 10*y**2 + 19*y + 6. Let f(x) = j*n(x) - 5*c(x). Factor f(i).
2*(i + 1)**2*(i + 3)
Let v(d) = -3*d**5 + 9*d**4 - 15*d**3 - 21*d**2 - 6*d + 6. Let y(t) = t**5 - t**4 + t**3 + t**2 - 1. Let a(p) = -v(p) - 6*y(p). Factor a(k).
-3*k*(k - 2)*(k + 1)**3
Let m(p) be the third derivative of p**7/525 - p**6/75 + p**5/25 - p**4/15 + p**3/15 - 8*p**2. Factor m(w).
2*(w - 1)**4/5
Let j(u) be the first derivative of 0*u + 1 + 3/4*u**4 + 1/2*u**3 + 0*u**2 + 3/10*u**5. Let j(k) = 0. Calculate k.
-1, 0
Let 0*q**2 - 3/5*q**4 + 0*q**3 + 0 - 3/5*q**5 + 0*q = 0. What is q?
-1, 0
Let f(w) = 6*w**3 + 22*w**2 + 10*w - 4. Let k(d) = 17*d**3 + 66*d**2 + 30*d - 12. Let n(z) = -14*f(z) + 4*k(z). Let n(b) = 0. Calculate b.
-2, -1, 1/4
Let h = -1 - -5. Suppose -b = h*b. Determine f, given that f**3 - f**2 - 4*f + f + 2*f + b*f + f**4 = 0.
-1, 0, 1
Suppose 12 = -4*h + 32. Suppose h*l**3 + 2*l - 2*l**3 + 6*l**2 - l**3 - 2*l**2 = 0. What is l?
-1, 0
Let t(s) be the second derivative of 0*s**3 - 29/105*s**6 + 0 + 4/21*s**7 + 0*s**2 + 1/21*s**4 - 1/70*s**5 - 2*s. What is k in t(k) = 0?
-1/4, 0, 2/7, 1
Let a be (-4)/10*(-55)/66. Find j such that -5/3*j**4 - 10/3*j**2 - 1/3*j**5 - 5/3*j - 10/3*j**3 - a = 0.
-1
Let b(o) be the third derivative of -o**7/420 - o**6/240 + o**5/120 + o**4/48 + 7*o**2. Solve b(k) = 0 for k.
-1, 0, 1
Let n = -4 - -2. Let m be n*-1*2/14. Factor -4/7*a + m*a**2 + 2/7.
2*(a - 1)**2/7
Factor 8/11*c + 8/11 - 26/11*c**2 + 10/11*c**3.
2*(c - 2)*(c - 1)*(5*c + 2)/11
Let t(f) be the first derivative of 0*f**3 + 1/30*f**5 + 0*f**4 - 1/2*f**2 + 2 + 0*f. Let a(i) be the second derivative of t(i). Factor a(s).
2*s**2
Let h = 62 + -58. Let w(u) be the first derivative of 4/27*u**3 + 1/27*u**6 + 1/9*u**2 - 2/45*u**5 + 3 - 1/9*u**h - 2/9*u. Solve w(o) = 0.
-1, 1
Let u(x) = 4*x**2 + 2*x + 1. Let s(n) = n**2 + n + 1. Let c(b) = 6*s(b) - 2*u(b). Suppose c(w) = 0. Calculate w.
-1, 2
Let w be (-20)/12*(1 + -4). Let i(h) be the third derivative of -3*h**2 + 0*h**4 - 4/15*h**3 + 0 - 1/300*h**6 + 1/50*h**w + 0*h. Determine p so that i(p) = 0.
-1, 2
Let q(c) = c**3 - c. Let h(z) = 5*z**5 - 5*z**4 + 25*z**3 + 5*z**2 - 30*z. Let w(f) = h(f) - 30*q(f). Factor w(m).
5*m**2*(m - 1)**2*(m + 1)
Let i(j) = -5*j + 2. Let x be i(0). Suppose 58/9*h**x - 8/9 + 14/3*h**3 + 8/9*h = 0. What is h?
-1, -2/3, 2/7
Determine j so that 7*j - j**2 + 4*j + 4 - 11*j = 0.
-2, 2
Let m(c) be the second derivative of -c**7/42 - c**6/10 + c**5/10 + c**4 + 4*c**3/3 - 24*c. Solve m(l) = 0 for l.
-2, -1, 0, 2
Let k(p) be the first derivative of -p**3/21 - p**2/14 + 6*p/7 - 42. Find t such that k(t) = 0.
-3, 2
Determine g so that -g**2 + 6*g**2 + 0*g**2 - 5*g = 0.
0, 1
Let x(o) = -4*o**3 - 4*o**2 + 12*o + 4. Let m(w) = w**4 - w**3 - w - 1. Let q(h) = 4*m(h) + x(h). What is s in q(s) = 0?
-1, 0, 1, 2
Let o be 2*((-2)/4)/(2 - 4). Let m(s) be the first derivative of 3 + o*s - 1/6*s**3 - 1/4*s**2 + 1/8*s**4. Determine t so that m(t) = 0.
-1, 1
Suppose 2*v + 7 = v + 2*n, 5*v + n = 20. Factor 0 - 2/9*z + 2/9*z**v + 2/9*z**2 - 2/9*z**4.
-2*z*(z - 1)**2*(z + 1)/9
Let j(z) = -z**4 + z**3 - z**2 + z + 1. Let g(l) = -l**4 + l**3 - 3*l**2 + 3*l + 2. Let b(s) = 3*g(s) - 6*j(s). Factor b(i).
3*i*(i - 1)**2*(i + 1)
Let g = 69/292 - -1/73. Let u(c) be the second derivative of 7/20*c**5 + 0 - g*c**2 - 13/48*c**4 - 13/24*c**3 + c. Suppose u(i) = 0. What is i?
-2/7, -1/4, 1
Let a(v) be the third derivative of -v**3 + 0*v - 4*v**2 - 23/8*v**4 - 2*v**6 + 32/35*v**7 - 21/5*v**5 + 0. Solve a(n) = 0.
-1/4, 2
Let r(j) be the third derivative of j**6/40 - j**5/60 - j**4/3 - 2*j**3/3 - 5*j**2. Factor r(p).
(p - 2)*(p + 1)*(3*p + 2)
Let b be (-3)/(-3 + 2 + 0). Let a be ((-12)/(-16) - 1)*-1. Factor 0*p**2 + 1/4*p - a*p**b + 0.
-p*(p - 1)*(p + 1)/4
Let k(r) be the third derivative of -r**10/12096 + r**9/15120 + r**4/8 - 3*r**2. Let x(j) be the second derivative of k(j). Suppose x(n) = 0. What is n?
0, 2/5
Let q be (-1)/4 + (-729)/(-36). Suppose q*y - 16*y = 0. Factor y + 0*b + 1/2*b**2.
b**2/2
Let j(x) = 3*x**4 - 11*x**3 - 18*x**2 - 35*x + 2. Let l(s) = s**4 - 4*s**3 - 6*s**2 - 12*s + 1. Let p(h) = 4*j(h) - 11*l(h). What is z in p(z) = 0?
-1, 3
Let p(n) = -n**2 - n - 3 - 2 - n**2. Let q(y) = -y + 1. Let i(v) = p(v) + 3*q(v). Determine s, given that i(s) = 0.
-1
Let c(h) be the first derivative of 9*h**5 + 15*h**4 - 55*h**3/3 + 5*h**2 - 18. Let c(v) = 0. Calculate v.
-2, 0, 1/3
Let w(n) be the third derivative of -n**5/60 - 5*n**4/72 - n**3/9 - 4*n**2. Factor w(i).
-(i + 1)*(3*i + 2)/3
Let u(z) be the third derivative of -z**10/151200 - z**9/30240 - z**8/20160 - z**5/30 + 3*z**2. Let a(b) be the third derivative of u(b). Solve a(k) = 0 for k.
-1, 0
Let a(l) be the first derivative of 4/7*l**3 + 4/7*l**2 + 2/35*l**5 + 2/7*l + 1 + 2/7*l**4. Solve a(r) = 0 for r.
-1
Let q(b) be the first derivative of 2/9*b**3 - 2/15*b**5 + 4 + 0*b - 1/3*b**2 + 1/6*b**4. Factor q(w).
-2*w*(w - 1)**2*(w + 1)/3
Let r(w) be the second derivative of 0 - 3/20*w**5 + 1/15*w**6 + 1/6*w**4 + 0*w**2 - 1/84*w**7 - 1/12*w**3 + 2*w. Determine b so that r(b) = 0.
0, 1
Let z(c) be the first derivative of c**5/80 + c**4/48 - c**3/12 - 3*c - 1. Let r(k) be the first derivative of z(k). Suppose r(b) = 0. What is b?
-2, 0, 1
Let k =