11. Let v(h) be the first derivative of 0*h - 1/3*h**q + 0*h**2 - 1. Factor v(p).
-p**2
Let a(l) be the third derivative of 121*l**5/12 + 55*l**4/6 + 10*l**3/3 + 24*l**2. Suppose a(d) = 0. What is d?
-2/11
Let q(y) be the second derivative of y**6/45 + 2*y**5/15 + 5*y**4/18 + 2*y**3/9 - 6*y. Factor q(a).
2*a*(a + 1)**2*(a + 2)/3
Let x(v) be the first derivative of v**4/4 - v**3/3 + v**2/2 - 4*v - 1. Let i be x(2). Solve -1/4*q**i + 21/4*q**4 + 13/4*q**3 - 1/2*q + 9/4*q**5 + 0 = 0.
-1, -2/3, 0, 1/3
Suppose 0*i = i. Factor 0*v - 10/3*v**4 + 4/3*v**3 + i + 0*v**2.
-2*v**3*(5*v - 2)/3
Let q be (22818/4305)/(-1) - -4. Let p = -3/205 - q. What is f in -3/7*f**2 - 6/7 - p*f = 0?
-2, -1
Let s(d) be the third derivative of -7*d**6/360 + 3*d**5/10 - 17*d**4/18 - 4*d**3/3 + 3*d**2 + 8*d. Suppose s(z) = 0. What is z?
-2/7, 2, 6
Let p = 6841/24 + -285. Let y(s) be the second derivative of 0 + p*s**4 - 4*s - 3/40*s**5 + 0*s**2 + 0*s**3. Factor y(i).
-i**2*(3*i - 1)/2
Let g(b) = -2*b**3 - 7*b**2 - 4*b + 13. Let k(w) = 3*w**3 + 7*w**2 + 5*w - 14. Let n(y) = 4*g(y) + 3*k(y). Let x be n(7). Factor 0*f - 2/3*f**x - 2/3*f**2 + 0.
-2*f**2*(f + 1)/3
Let q(k) be the second derivative of -2*k**6/105 - k**5/35 + k**4/7 + 2*k**3/21 - 4*k**2/7 + 9*k. Solve q(f) = 0 for f.
-2, -1, 1
Let o(w) = -w**2 - 4*w + 3. Let c(l) = l**2 - 6*l + 6. Suppose 2*y = 14 - 6. Let j be c(y). Let z(h) = h**2 + 3*h - 2. Let n(f) = j*o(f) - 3*z(f). Factor n(i).
-i*(i + 1)
Let o(j) be the second derivative of 0*j**2 - 1/126*j**7 + 3*j + 0*j**3 - 1/36*j**4 + 0 + 1/90*j**6 + 1/60*j**5. Factor o(b).
-b**2*(b - 1)**2*(b + 1)/3
Let v(i) be the third derivative of 5*i**8/2016 + i**7/70 + 17*i**6/720 - i**4/36 - 13*i**2. Find z such that v(z) = 0.
-2, -1, 0, 2/5
Let v = 37 - 25. Let j(u) = -5*u**5 - 2*u**4 + 2*u**2 + 5*u + 4. Let k(t) = -t**5 + t + 1. Let i(n) = v*k(n) - 3*j(n). Find x, given that i(x) = 0.
-1, 0, 1
Suppose 5*z**2 + 20 + 74 - z**2 + 6 + 40*z = 0. What is z?
-5
Suppose -3*b + b - 8 = 0. Let h = b - -7. Solve y**5 + y**h + 2*y**4 + 2*y**3 - 2*y**3 = 0.
-1, 0
Let q = 3146 + -317743/101. Let x = q - -499/202. Solve 9/2*c**4 + 0 - 9/2*c**2 + x*c**3 + c - 7/2*c**5 = 0 for c.
-1, 0, 2/7, 1
Let o(p) be the second derivative of -p**4/9 - 2*p**3/3 - 7*p. Factor o(v).
-4*v*(v + 3)/3
Factor 3042*x + 102/13*x**4 - 4394 + 1196*x**2 + 2/13*x**5 + 148*x**3.
2*(x - 1)*(x + 13)**4/13
Let -8*b**2 + 530*b**4 + 0 - 526*b**4 + 4 = 0. What is b?
-1, 1
Suppose 2*g = -3*d + 5 - 22, 2*g + 5*d + 23 = 0. Let y = -2 - g. Factor -y*w + 2*w - w**3 - w**2.
-w**2*(w + 1)
Let n(w) be the first derivative of -w**5 + 5*w**4/2 + 5*w**3 - 10*w**2 - 20*w - 16. Factor n(g).
-5*(g - 2)**2*(g + 1)**2
Let a(h) = h**2 + 7*h - 12. Let w be a(-9). Let b(p) = -p**3 + 7*p**2 - 5*p - 3. Let n be b(w). Factor r + n*r**3 + 4*r**2 - 2*r**2 - r**3 - r**3.
r*(r + 1)**2
Let m(z) be the first derivative of -1/3*z**3 - 1/1080*z**6 + 0*z + 0*z**2 - 1/180*z**5 - 1/72*z**4 + 2. Let b(s) be the third derivative of m(s). Factor b(a).
-(a + 1)**2/3
Let z = 33 + -38. Let x be z/(-15)*0 + 0. Determine j so that -2/9*j**3 + 0*j**2 + x*j - 2/9*j**5 + 0 + 4/9*j**4 = 0.
0, 1
Let c(p) be the second derivative of -p**7/7560 + p**4/4 + p. Let k(d) be the third derivative of c(d). Solve k(o) = 0.
0
Let h be -12 - (-7 + 3 + 7). Let d be 3/h + 130/25. Factor 6/5*i**3 - 6/5*i**2 - 3/5*i - 3/5*i**d + 3/5*i**4 + 3/5.
-3*(i - 1)**3*(i + 1)**2/5
Let v be (-8)/(-42)*434/372. Let 2/9*q**2 - v*q**4 - 2/9*q**5 + 0 + 2/9*q**3 + 0*q = 0. What is q?
-1, 0, 1
Factor -14 - 40*a + 0*a**2 - 5*a**2 - 22 - 44.
-5*(a + 4)**2
Let w = -22 - -22. Let s(f) be the second derivative of 3*f - 1/30*f**5 + 0 + 0*f**4 + w*f**3 + 0*f**2. Find u, given that s(u) = 0.
0
Factor -3*a + 11 - 6*a**2 + 3*a**3 - 5 + 0*a**2 + 0*a.
3*(a - 2)*(a - 1)*(a + 1)
Suppose 5*r - 26 = -11. Determine j so that r*j**4 - 13*j**2 + 2 + j**2 - 2 = 0.
-2, 0, 2
Let g(h) be the third derivative of h**5/270 + h**4/108 - 2*h**3/27 + 5*h**2. Factor g(o).
2*(o - 1)*(o + 2)/9
Let q = 56 + -56. Let t(k) be the first derivative of 3 + q*k**2 + 1/3*k**3 - k. Find p such that t(p) = 0.
-1, 1
Let u(d) = -8*d**3 - 2*d**2 + 1. Let x be u(-1). Let c be -1*4 + 2 + x. Factor -2*h + 2 + 2*h**4 - 4*h**2 - 3*h**c + 4*h**3 + 2*h**5 - h**5.
-2*(h - 1)**3*(h + 1)**2
Suppose 6 = 5*x - 4. Let w be 55/(-15) + (x - -2). Factor -1/3*r**3 + 0 + 2/3*r**2 - w*r.
-r*(r - 1)**2/3
Let v(x) be the second derivative of 2*x + 1/24*x**4 + 0 - 1/12*x**3 + 0*x**2. What is m in v(m) = 0?
0, 1
Let k(v) be the third derivative of v**8/20160 + v**7/5040 - v**5/30 - 3*v**2. Let y(r) be the third derivative of k(r). Factor y(p).
p*(p + 1)
Solve 5*m**3 + 9*m**2 - 10*m - 15*m**4 + 0*m**2 - 4*m**2 + 10*m**2 + 5*m**5 = 0 for m.
-1, 0, 1, 2
Suppose -4*s**3 + 2*s**3 - 2*s**2 + 3*s**2 + 4*s + s**2 = 0. What is s?
-1, 0, 2
Solve -b + b**2 - 2*b - 3*b**2 + 6 - b = 0 for b.
-3, 1
Let r(p) = p**3 - 8*p**2 - 10*p + 10. Let w be r(9). Let a be (w/10)/((-4)/(-10)). Solve a*c**3 - 1/2 + 5/4*c - c**2 = 0.
1, 2
Let x be -10 + 12 + 0 + -3. Let d be x/(1/1) + 1. Factor 2/9*y**3 + 0 + d*y - 2/9*y**2.
2*y**2*(y - 1)/9
Let k be ((2 - 4) + 3)*6. Let l(j) be the first derivative of 1 + 0*j**2 - 1/3*j**3 + 0*j - 1/2*j**4 - 2/3*j**k + 7/5*j**5. Factor l(x).
-x**2*(x - 1)**2*(4*x + 1)
Let 0 + 0*d**2 + 0*d + 1/3*d**3 - 2/3*d**4 + 1/3*d**5 = 0. Calculate d.
0, 1
Let q(h) be the second derivative of -h**6/15 - h**5/5 + 2*h**4/3 + 2*h**3/3 - 3*h**2 - 41*h. Find v, given that q(v) = 0.
-3, -1, 1
Let p(w) be the first derivative of 1/210*w**5 - 2 + 0*w**3 + 0*w + 1/2*w**2 - 1/84*w**4. Let j(q) be the second derivative of p(q). Factor j(v).
2*v*(v - 1)/7
Let u = 13/3 + -85/21. Suppose -6*w = -2*w - 8. Factor u*d**w + 8/7*d + 8/7.
2*(d + 2)**2/7
Let q(j) = 5*j**5 + 8*j**4 + 2*j**3 - 6*j**2 - 5*j - 2. Let d(o) = 6*o**5 + 9*o**4 + 3*o**3 - 6*o**2 - 6*o - 3. Let y(v) = -2*d(v) + 3*q(v). Factor y(n).
3*n*(n - 1)*(n + 1)**3
Let n(w) be the third derivative of 0 + 0*w**4 + 0*w**5 - 1/735*w**7 + 0*w + 0*w**3 - 3*w**2 + 0*w**6. Find s such that n(s) = 0.
0
Let k be 9/(-57) - (-1)/(-2). Let d = -3/19 - k. Factor -1/2*q**2 + 0*q + d.
-(q - 1)*(q + 1)/2
Let h(g) = 7*g**4 + 6*g**3 - 2*g**2 - 6*g - 5. Let t(x) = 6*x**4 + 5*x**3 - 2*x**2 - 5*x - 4. Let r(y) = -5*h(y) + 6*t(y). Factor r(d).
(d - 1)**2*(d + 1)**2
Let m(r) = -r**3 + r**2 - r - 1. Let o(q) = 38*q**3 + 77*q**2 + 58*q + 13. Let f(c) = -3*m(c) - o(c). What is g in f(g) = 0?
-1, -2/7
Let p(z) = -9*z**2 + 9*z - 12. Let q(x) = -x**2 - 1. Let f(l) = -p(l) + 12*q(l). Find d, given that f(d) = 0.
-3, 0
Let u(o) = -5*o**4 + o**3 + 6*o**2 - 3*o + 3. Let i(l) = -56*l**4 + 10*l**3 + 66*l**2 - 34*l + 34. Let q(d) = -6*i(d) + 68*u(d). Solve q(a) = 0 for a.
-1, 0, 3
Let a(z) be the second derivative of z**7/189 - z**6/135 - z**5/30 + z**4/54 + 2*z**3/27 - z. Find v, given that a(v) = 0.
-1, 0, 1, 2
Let o(j) = j**3 + j**2 - 3*j + 2. Let m be (6/10)/(2/10). Let v be o(m). Solve -8*t**2 + v*t**4 - 5*t + 7*t**3 + 91*t**3 - 3*t + 69*t**4 = 0.
-1, -2/7, 0, 2/7
Suppose -1 = r + 3*j - 0, -4*r + j = -9. Let l = -114 - -118. What is h in 1/4*h**r - 1/4*h**l - 1/4*h + 0 + 1/4*h**3 = 0?
-1, 0, 1
Let a(y) = -17*y**2 - 11*y + 21. Let k(t) = -16*t**2 - 12*t + 20. Let i(w) = 4*a(w) - 5*k(w). Factor i(r).
4*(r + 2)*(3*r - 2)
Find r such that -71 + 7 - 34*r + 4*r**2 - 26*r = 0.
-1, 16
Let y(n) be the second derivative of n**6/60 + n**5/10 + 15*n. Factor y(t).
t**3*(t + 4)/2
Let d(x) be the third derivative of x**5/20 + x**3/2 - 3*x**2. Let y(v) = -v**3 + 1. Let b(w) = -d(w) + 3*y(w). Determine i so that b(i) = 0.
-1, 0
Factor -4/5*l**3 + 0*l + 8/5*l**2 + 0 + 1/5*l**5 - 2/5*l**4.
l**2*(l - 2)**2*(l + 2)/5
Let i(s) be the second derivative of -7*s**5/30 - s**4/9 + 7*s**3/9 + 2*s**2/3 - 23*s. Factor i(m).
-2*(m - 1)*(m + 1)*(7*m + 2)/3
Let w = 29 - 29. Let h(o) be the first derivative of w*o - 2/5*o**2 + 2 - 2/15*o**3. Factor h(p).
-2*p*(p + 2)/5
Suppose 0*z**3 - 2/3*z**4 + 0*z**2 - 2/3*z**5 + 0 + 0*z = 0. What is z?
-1, 0
Suppose 0*v - 3*v - 4*b = -12, 2*b = -5*v + 6. Suppose -2/5*n**3 - 2/5*n**2 + 2/5*n**5 + v*n + 2/5*n**4 + 0 = 0. What is n?
-1, 0, 1
Suppose -5*c = 3*n - 2178, 0 = -c - 4 + 1. Let s = 2215/3 - n. Solve s*v**2 - 32/3*v**3 + 14/3*v**4 + 0 - 4/3*v = 0.
0, 2