0
Let v(r) be the second derivative of 2*r**2 + 2*r + 1/6*r**4 + 0 - r**3. Determine z, given that v(z) = 0.
1, 2
Let p = -2 - 0. Let d = p - -4. Factor -5/3*h + 7/3*h**4 - 1/3 + 2/3*h**3 + h**5 - 2*h**d.
(h - 1)*(h + 1)**3*(3*h + 1)/3
Let l(i) be the first derivative of i**7/3780 - i**6/540 + i**5/180 - i**4/108 + i**3/3 - 3. Let s(p) be the third derivative of l(p). Solve s(k) = 0.
1
Let t(j) = 15*j**5 + 27*j**4 - 12*j**2 + 12*j + 12. Let m(b) = -6*b**5 - 11*b**4 + 5*b**2 - 5*b - 5. Let k(c) = 12*m(c) + 5*t(c). Factor k(v).
3*v**4*(v + 1)
Let -50*g**2 + 35 - 61 + 60*g**3 + 26 - 30*g**4 + 15*g + 5*g**5 = 0. What is g?
0, 1, 3
Factor 3*r**5 + 0*r + 0 + 15/2*r**4 + 3/2*r**2 + 6*r**3.
3*r**2*(r + 1)**2*(2*r + 1)/2
Let p = 146/63 + 1/63. Suppose -7*f - 1 = -15. Let 4/3 + 19/3*r**3 + p*r**4 + 16/3*r + 25/3*r**f + 1/3*r**5 = 0. Calculate r.
-2, -1
Let a = 55/118 + 2/59. Factor a*s**3 - 1/2*s**4 - 1/2*s + 1/2*s**2 + 0.
-s*(s - 1)**2*(s + 1)/2
Factor 0 + 0*k**3 + 0*k + 2/9*k**4 - 2/9*k**2.
2*k**2*(k - 1)*(k + 1)/9
Let s be -5 - ((-510)/(-35))/(-2). Suppose -8/7 - 2/7*a**3 - 10/7*a**2 - s*a = 0. What is a?
-2, -1
Let m(j) be the third derivative of -j**8/840 - j**7/105 - j**6/30 - j**5/15 - j**4/12 - j**3/15 + 6*j**2. What is v in m(v) = 0?
-1
Let p(t) be the first derivative of 3*t**5/20 - t**4/4 - 2*t + 2. Let l(k) be the first derivative of p(k). Find m, given that l(m) = 0.
0, 1
Let l(d) = -7*d**3 - 4*d**2 - 4. Let n(q) = -20*q**3 - 11*q**2 - 11. Let a(w) = 11*l(w) - 4*n(w). Factor a(h).
3*h**3
Let h(r) = r**3 + r**2 + r + 4. Let s be h(0). Suppose -2*b = -v + 7, v - s*b = 6*v - 21. Factor 2/3*p**3 - 2/3*p**2 - 1/3 + p**4 + 1/3*p**v - p.
(p - 1)*(p + 1)**4/3
Let k(m) be the first derivative of m**5/5 - m**4/2 - m**3 + 2*m**2 + 4*m + 16. Solve k(n) = 0.
-1, 2
Let n(o) be the second derivative of 15*o**7/14 - 22*o**6/5 - 11*o**5/4 + 71*o**4/6 - 2*o**3/3 - 12*o**2 - 2*o. Let n(v) = 0. Calculate v.
-1, -2/5, 2/3, 3
Let x(c) = 10 + 2*c - 6*c + c**2 - 6*c + c. Let u be x(8). Solve a**u + 4 - 3 - 2 = 0 for a.
-1, 1
Let s be 14/6 + -2*(-1)/(-6). Let f(b) be the second derivative of -1/24*b**3 + 0*b**s + 0*b**6 + 0 - 1/168*b**7 + 1/40*b**5 + 0*b**4 + 3*b. Factor f(y).
-y*(y - 1)**2*(y + 1)**2/4
Suppose 0*v**2 - 1 + v - 3*v**2 + 3*v**3 - 2*v**3 + 2*v = 0. Calculate v.
1
Let k be (-3 - (3 - 6))/1. Factor 2/3*h**3 + 0*h + 1/3*h**2 + 1/3*h**4 + k.
h**2*(h + 1)**2/3
Suppose t = 3 - 2. Let n be t/(-2)*32/(-28). Find h such that 4/7*h - n*h**3 + 2/7 - 2/7*h**2 = 0.
-1, -1/2, 1
Let t(m) be the first derivative of -m**3/3 + 2*m**2/3 - m/3 + 9. Factor t(a).
-(a - 1)*(3*a - 1)/3
Let i(a) be the first derivative of -a**4/28 + a**2/2 + 6*a/7 + 34. Solve i(l) = 0.
-2, -1, 3
Let y(m) = m**3 - 6*m**2 + 4*m + 5. Let t be y(5). Determine h so that 20*h**2 - 8*h - 4 + 4 + t + 28*h**3 = 0.
-1, 0, 2/7
Let b = 781/3612 - 1/516. Let m = 37/42 - b. Find q such that 4/3 - 2/3*q - 4/3*q**2 + m*q**3 = 0.
-1, 1, 2
Let c(q) be the second derivative of q**6/105 - q**5/35 + q. Determine g so that c(g) = 0.
0, 2
Suppose -17*k**2 + 16 + 2*k**5 - 10*k**3 + 8*k - 3*k**2 + 0*k**5 + 4*k**4 = 0. Calculate k.
-2, -1, 1, 2
Suppose 0 = -j + 1 + 3. Let -2*z + z**3 + z**2 + j*z - 2*z = 0. Calculate z.
-1, 0
What is f in 2/11 + 2/11*f + 6/11*f**3 - 10/11*f**2 = 0?
-1/3, 1
Let m(x) = -x**2 - 5*x. Let r be m(-5). Factor -a**2 + r*a - 3*a**2 + 8*a + 0*a**2.
-4*a*(a - 2)
Let d = -65 + 67. Factor -1/3*y**d - 1/3*y**4 + 0 - 2/3*y**3 + 0*y.
-y**2*(y + 1)**2/3
Determine w, given that -2*w**4 + 4*w**5 - 16*w**2 + 24*w**3 - 21*w**4 + 3*w + 7*w**4 + w = 0.
0, 1
Let q(k) be the first derivative of 5*k**4/4 + 10*k**3/3 + 5*k**2/2 + 33. Let q(h) = 0. What is h?
-1, 0
Let u = 2 + 1. Let b(g) be the first derivative of -4*g**2 - 4*g**u - 2*g + 1 - 2/5*g**5 - 2*g**4. Solve b(c) = 0.
-1
Let p(m) be the third derivative of 0*m**4 - 1/70*m**7 + 0 + 0*m**3 + 0*m**5 - 5*m**2 + 0*m + 1/40*m**6. What is t in p(t) = 0?
0, 1
Suppose 0 = -2*u + 4 - 0. Determine c, given that 4*c + 4*c**2 - 10*c**u + 2*c - 4*c = 0.
0, 1/3
Let k = 59 + -40. Determine s so that k*s**4 - 2*s**5 + s**5 + s**2 + s**3 - 20*s**4 = 0.
-1, 0, 1
Find h, given that 17*h**3 - 19*h**3 - 5*h**2 + h**2 = 0.
-2, 0
Let f(m) be the second derivative of 6*m + 3/10*m**5 + 0*m**4 + 1/10*m**6 + 0 - 3/2*m**2 - m**3. Factor f(p).
3*(p - 1)*(p + 1)**3
Suppose 30 = -4*o + 10*o. Factor 0*h**2 - 2/7*h**o + 0*h**4 + 0*h + 0 + 2/7*h**3.
-2*h**3*(h - 1)*(h + 1)/7
Let b(w) be the third derivative of 23/60*w**5 - 1/2*w**3 + 0 - w**2 - 1/2*w**4 + 0*w. Let a(i) = -11*i**2 + 6*i + 1. Let k(p) = 5*a(p) + 2*b(p). Factor k(x).
-(3*x - 1)**2
Let d(k) be the second derivative of -k**7/14 + k**6/10 + 2*k. Let d(y) = 0. What is y?
0, 1
Let j(y) = -7*y**2 - 5*y + 2. Let n(u) = 12*u**2 + 6*u - 6. Let t(z) = 11*z**2 + 6*z - 5. Let b(a) = 3*n(a) - 4*t(a). Let p(i) = 5*b(i) - 6*j(i). Factor p(h).
2*(h - 1)*(h + 1)
Let p(d) be the first derivative of d**9/1008 + d**8/280 - d**7/280 - d**6/60 - 4*d**3/3 + 7. Let r(q) be the third derivative of p(q). Factor r(k).
3*k**2*(k - 1)*(k + 1)*(k + 2)
Suppose 2*u - 12 = -q + 4*u, -5*u = 2*q - 15. Suppose 4 = -0*d + 4*d, -q = -4*m - 2*d. Find z such that 0*z**4 + 2/5*z + 2/5*z**5 + 0 + 0*z**m - 4/5*z**3 = 0.
-1, 0, 1
Suppose -4*r - 5*m - 1 = 0, 3*m + 7 = 2*r + 2*r. Let g(x) be the first derivative of 0*x**3 + r - 9/4*x**2 + 3/8*x**4 - 3*x. Determine y, given that g(y) = 0.
-1, 2
What is p in 0*p**2 + 1/6*p + 0 - 1/6*p**3 = 0?
-1, 0, 1
Let b = 1 + 4. Solve -2 + t**4 + t**2 + 3*t - 2*t**b - 2*t - 6*t + 7*t**3 = 0.
-1, -1/2, 1, 2
Let t(q) be the first derivative of 0*q - 1 + 1/30*q**5 + 0*q**4 - q**2 + 0*q**3. Let z(d) be the second derivative of t(d). Factor z(m).
2*m**2
Let w be 0/((2/(-3))/(40/60)). Factor -1/2*o**2 + 0 + w*o.
-o**2/2
Factor 4*h**2 - 17*h - h - 18*h**2 - 4.
-2*(h + 1)*(7*h + 2)
Factor -6*i**2 + 28*i**3 - 2*i**2 - 2*i - 2*i**4 - 2*i - 14*i**4.
-4*i*(i - 1)**2*(4*i + 1)
Let b be (-4)/(-12)*(-1 - 2) + 4. Determine n, given that -4/11*n**b + 0*n + 0 + 2/11*n**2 = 0.
0, 1/2
Let c(m) = -47*m**4 + 52*m**2 - 7. Let a(q) = -95*q**4 + 105*q**2 - 15. Let x(b) = -2*a(b) + 5*c(b). Determine i so that x(i) = 0.
-1, -1/3, 1/3, 1
Let p(v) be the first derivative of -v**5/40 - v**4/8 + v**2/2 + 3. Let m(b) be the second derivative of p(b). Factor m(k).
-3*k*(k + 2)/2
Let g be 4*(-3)/9*-3. Suppose -3*r + 0*m + 8 = 4*m, -g*r - 4*m = -12. Solve 3*z**5 - 2*z**3 - z - 4*z**5 + r*z**3 = 0 for z.
-1, 0, 1
Let n(z) = z**3 + 3*z**2 - 2*z - 4. Let p be n(-3). Let 6*b - 1 - 2 + 12*b**p - 13*b**3 + 7*b**3 - 9*b**4 = 0. What is b?
-1, 1/3, 1
Let i(j) be the third derivative of -j**6/360 - j**5/60 - j**4/24 - j**3/18 + 2*j**2. Factor i(n).
-(n + 1)**3/3
Suppose -5*h = -3*h - 5*h. Let y(w) be the second derivative of 0*w**2 + 3*w + h + 0*w**3 + 0*w**4 + 1/40*w**5. Factor y(s).
s**3/2
Factor -7*p**2 - p**3 - 40 - 48*p + 15*p**2 + 7*p**2 - 24.
-(p - 8)**2*(p + 1)
Factor 6*w**3 + 4*w**2 + 2*w + 2*w - 10*w**3 + 4*w.
-4*w*(w - 2)*(w + 1)
Let r be ((-6)/(-28))/(630/49). Let s(v) be the second derivative of 0*v**3 + 0*v**2 + 0 - r*v**4 + v. Suppose s(n) = 0. Calculate n.
0
Suppose f - 5*f = -12. Let r(m) be the first derivative of 0*m**2 + 0*m - 2/3*m**f - 1. Suppose r(g) = 0. What is g?
0
Let i(s) be the third derivative of s**8/84 + 2*s**7/105 - s**6/5 - 14*s**5/15 - 11*s**4/6 - 2*s**3 + 12*s**2. Solve i(d) = 0 for d.
-1, 3
Let y(f) be the second derivative of -2/15*f**4 + 1/25*f**6 + 0*f**2 + 0*f**5 - 4*f + 0 + 0*f**3 + 1/105*f**7. Factor y(u).
2*u**2*(u - 1)*(u + 2)**2/5
Let r(v) be the first derivative of -v**6/3 + 2*v**5/5 + v**4 + 21. Factor r(j).
-2*j**3*(j - 2)*(j + 1)
Let m(d) be the first derivative of d**8/5040 - d**6/360 + d**5/180 + d**3 - 3. Let w(b) be the third derivative of m(b). Let w(h) = 0. Calculate h.
-2, 0, 1
Let b(j) = 55*j**2 - 320*j + 265. Let a(w) = 5*w**2 - 29*w + 24. Let z(u) = -45*a(u) + 4*b(u). Factor z(l).
-5*(l - 4)*(l - 1)
Let -18*s + 27*s + 6*s**2 + 3*s**5 - 7 - 12*s**3 + 1 = 0. Calculate s.
-2, -1, 1
Let j(c) be the third derivative of -c**7/840 + c**6/160 - c**5/240 - c**4/32 + c**3/12 + 5*c**2. Solve j(h) = 0 for h.
-1, 1, 2
Let i = -5 - -7. Suppose 0 = -4*p - 16, -i*p = -0*a + 3*a - 4. Factor 3*w**2 + w**3 - a*w**2 + w**2 - w**4.