ve of -q**3 + 3*q**2/2 + 6. Determine v, given that k(v) = 0.
0, 1
Let p(j) be the second derivative of 0 - 3*j + 2*j**2 - 2/3*j**3 + 1/12*j**4. Factor p(y).
(y - 2)**2
Factor 16/3*n**2 + 0*n + 0 - 2/3*n**3.
-2*n**2*(n - 8)/3
Let p(g) be the first derivative of -g**5/25 + g**3/15 - 2. Factor p(n).
-n**2*(n - 1)*(n + 1)/5
Suppose -2*y = -12 + 2. Suppose -h - y*l + 6 = -2*l, 2*h + 2*l - 4 = 0. Solve -z + 3*z**2 + h - 5/4*z**3 + 9/4*z**5 - 3*z**4 = 0.
-1, 0, 2/3, 1
Let p(f) be the first derivative of -f**4/8 - f**3/6 + f**2/4 + f/2 - 6. Suppose p(u) = 0. What is u?
-1, 1
Let j(h) = h**2 + 11*h + 7. Let t be j(-10). Let n be (t/9)/(1/(-6)). Factor 39*f**3 + 15*f**3 + 21*f**2 + n + 33*f**2 + 18*f.
2*(3*f + 1)**3
Let j = -25/12 + 7/3. Solve 1/4*s**3 + 1/2*s**2 + j*s + 0 = 0.
-1, 0
Let d(y) be the second derivative of -y**4/28 + 5*y**3/42 - y**2/7 - 6*y. Factor d(v).
-(v - 1)*(3*v - 2)/7
Factor -16*k + k**3 + 15*k + 4 - 6 + 2*k**2.
(k - 1)*(k + 1)*(k + 2)
Let z(n) = n**2 + n + 1. Let q(p) = 4*p**2 + 5*p + 5. Suppose -2*a + 12 = -4*o + 2*o, -o - 2 = 3*a. Let y(w) = a*q(w) - 5*z(w). Factor y(j).
-j**2
Let h(n) be the second derivative of n**5/120 + 13*n**4/72 + 35*n**3/36 - 49*n**2/12 + 14*n. Let h(b) = 0. Calculate b.
-7, 1
Let x(l) be the first derivative of 0*l + 2/9*l**3 - 7 + 1/12*l**4 + 1/6*l**2. Factor x(a).
a*(a + 1)**2/3
Suppose 0 = -j - 2*t + 6*t - 14, 5*t - 20 = 0. Let q(i) be the first derivative of -i**j + 3 + 1/6*i**3 + 2*i. Find z such that q(z) = 0.
2
Let x(l) be the first derivative of -1/10*l**5 + 0*l + 0*l**2 + 5 + 1/24*l**6 + 0*l**3 + 1/16*l**4. Factor x(y).
y**3*(y - 1)**2/4
Let c be (4 + -2)/12 - 1326/(-468). Let 8/3*p - p**4 - 1/3*p**2 - 8/3*p**c + 4/3 = 0. Calculate p.
-2, -1, -2/3, 1
Factor -2*w**4 - 4*w**5 + w**4 + 5*w**5 + 0*w**5.
w**4*(w - 1)
Let q = 212 + -415/2. Find t, given that -6 - 12*t - 9/2*t**5 + q*t**2 + 33/2*t**3 + 3/2*t**4 = 0.
-1, -2/3, 1, 2
Let i(k) = -9*k**2 + 7. Let m(u) = -6*u**2 + 5. Let t(r) = -5*i(r) + 7*m(r). Let x be t(-1). Factor 6 + 2*p - 6 + x*p**2.
p*(3*p + 2)
Let h be (-63)/(-14) + (-2)/4. Suppose -5*c - 10 = 3*d, 3*d = 4*d + h*c + 8. Factor 4/5*x**5 + 0*x + 0 + 2/5*x**4 + d*x**2 - 2/5*x**3.
2*x**3*(x + 1)*(2*x - 1)/5
Find z, given that 4*z + 0*z**2 - 4/3*z**3 + 8/3 = 0.
-1, 2
Let c be 4/10*5/8. Let w = -23 - -49/2. Suppose 1/4 + c*l**4 + w*l**2 - l**3 - l = 0. Calculate l.
1
Let o(v) be the third derivative of -1/840*v**8 + 5*v**2 + 0*v**3 + 0*v**4 + 1/100*v**6 - 1/75*v**5 + 0*v + 0*v**7 + 0. Factor o(r).
-2*r**2*(r - 1)**2*(r + 2)/5
Suppose -1 + 3 = 2*n. Factor n + 1 - j + 0 - j**2.
-(j - 1)*(j + 2)
Let c = 6 - 2. Let j(n) = -n**3 + n**2 + n - 1. Let b(f) = -3*f**3 + 3*f**2 + 3*f - 3. Let v(w) = c*b(w) - 11*j(w). Solve v(a) = 0.
-1, 1
Let f(l) be the second derivative of l**5/80 - 3*l**4/16 + 9*l**3/8 - 27*l**2/8 - 4*l. Suppose f(v) = 0. What is v?
3
Let c be 5*((-54)/15 - -1 - -3). Let r(i) be the first derivative of -1 + 2/27*i**3 - 1/9*i**c + 0*i. Factor r(v).
2*v*(v - 1)/9
Let d(p) be the second derivative of p**5/90 - p**4/18 - 4*p. Factor d(l).
2*l**2*(l - 3)/9
Let q = -149/4326 - -6/103. Let o(d) be the third derivative of 1/30*d**6 - 1/6*d**4 + q*d**7 - 2*d**2 - 2/15*d**3 - 7/100*d**5 + 0*d + 0. Factor o(a).
(a - 1)*(a + 1)*(5*a + 2)**2/5
Let g(z) = 3*z**4 - 7*z**3 + 5*z**2 + 7*z - 2. Let p(f) = -f - 3*f**4 + 2*f**4 + 11*f**3 - 10*f**3. Let u(t) = g(t) + 6*p(t). Let u(b) = 0. What is b?
-1, 2/3, 1
Suppose 3*y - 4*x = 24, -7 = 2*y - 0*x + 5*x. Factor y*g**3 - g**2 - 11*g**3 + 8*g**3.
g**2*(g - 1)
Let z(w) be the first derivative of -4*w**7/245 - w**6/420 + 3*w**5/70 - w**4/42 - 2*w**2 + 2. Let k(s) be the second derivative of z(s). Solve k(x) = 0 for x.
-1, 0, 1/4, 2/3
Let l(k) = k**2 - 5*k + 4. Let o be l(9). Let f = o + -277/7. Factor 1/7*c**2 + f*c + 2/7.
(c + 1)*(c + 2)/7
Let s be 1/(-2)*4/(-6). Let l = 68/3 + -67/3. Factor 1/3*p**2 - l - 1/3*p + s*p**3.
(p - 1)*(p + 1)**2/3
Let b be 1*1/(1/2). Find c such that 6*c**2 + c**4 + 3*c**3 + b*c - 3*c**2 - c = 0.
-1, 0
Factor 29*h**3 + 3 - 11*h**2 - 15*h**3 - 11*h**3 + 5*h.
(h - 3)*(h - 1)*(3*h + 1)
Suppose 0 + 4 = a. Suppose -2*p**5 - p**4 + p**2 - 3*p**5 + a*p**5 + p**3 = 0. Calculate p.
-1, 0, 1
Let -6*u**3 - u**4 + 7*u**4 + 0*u**3 + 3*u**4 - 3*u**5 = 0. What is u?
0, 1, 2
Let k = -226/3 - -76. Factor 2/3*q**4 - k*q**2 - 2/3*q**3 + 2/3*q + 0.
2*q*(q - 1)**2*(q + 1)/3
Let p(q) be the first derivative of 0*q - 3/2*q**2 + 0*q**5 + 3/2*q**4 + 0*q**3 - 1/2*q**6 - 5. What is o in p(o) = 0?
-1, 0, 1
Let u = 65 + -321/5. Let p be 9/60 + (9/12)/3. Factor u*b + 2/5*b**2 + p.
2*(b + 1)**2/5
Let p(c) = -4*c**3 - 4*c**2 - 5*c - 5. Let k(n) = -3*n**3 - 3*n**2 - 4*n - 4. Let d(q) = 5*k(q) - 4*p(q). Factor d(m).
m**2*(m + 1)
Let o(l) = -20*l**2 + 35*l + 2. Let x(m) = 7*m**2 - 12*m - 1. Let c(f) = -6*o(f) - 17*x(f). Suppose c(p) = 0. Calculate p.
1, 5
Let x(m) be the second derivative of 0*m**2 - m - 1/30*m**6 + 0*m**4 + 0 - 1/20*m**5 + 0*m**3. Find v, given that x(v) = 0.
-1, 0
Let q(k) be the first derivative of 28*k**5/5 + 2*k**4 - 28*k**3/3 - 4*k**2 + 36. Factor q(z).
4*z*(z - 1)*(z + 1)*(7*z + 2)
Let r(p) be the first derivative of 1/8*p**4 + 0*p - 1/4*p**2 + 0*p**3 - 3. Factor r(i).
i*(i - 1)*(i + 1)/2
Let x = 21 - 21. Let f(b) be the third derivative of -1/24*b**3 + 0 + x*b + 1/60*b**5 + 1/32*b**4 - 2*b**2. Suppose f(g) = 0. What is g?
-1, 1/4
Factor 4*r**4 - 6*r**4 + 13*r + 10*r**3 - 5*r - 18*r + 2*r**2.
-2*r*(r - 5)*(r - 1)*(r + 1)
Let y(q) be the first derivative of 1/12*q**3 + 0*q - 3/16*q**4 - 4 + 1/12*q**6 + 1/8*q**2 - 1/20*q**5. Suppose y(b) = 0. Calculate b.
-1, -1/2, 0, 1
Suppose 4*r - 24 + 4 = 0. Factor 0*v**2 + 0*v + 1/2*v**4 + 1/2*v**r + 0 + 0*v**3.
v**4*(v + 1)/2
Let t(o) = 4*o**2 + 3*o**2 - 7*o**2 + 9*o + 7*o**4 + 9 - 2*o**3. Let h(d) = 3*d**4 - d**3 + 4*d + 4. Let z(s) = -9*h(s) + 4*t(s). Determine j so that z(j) = 0.
-1, 0
Let i(z) = -z**2 - z - 1. Let w(k) = -1 + 5 - 2 - 1. Let m(c) = -2*i(c) - 6*w(c). Factor m(h).
2*(h - 1)*(h + 2)
Let i = -10 - -14. Suppose 2*o - i*o = 0. What is n in o - 1/5*n**2 - 1/5*n = 0?
-1, 0
Let f = -19 - -21. What is i in 0*i**4 + 0*i**f + 0 + 0*i**3 + 1/4*i**5 + 0*i = 0?
0
Solve 6/11*o**4 + 0 + 4/11*o - 6/11*o**2 - 4/11*o**3 = 0.
-1, 0, 2/3, 1
Let i = 11 + -21/2. Let f(s) be the first derivative of 2/3*s**3 - 3 + i*s**4 - 2*s - s**2. Factor f(r).
2*(r - 1)*(r + 1)**2
Let v be (-2)/15 + (-72)/(-540). Let p(r) be the second derivative of v*r**2 + 0*r**3 + 0 - 1/18*r**4 + 1/30*r**5 + 4*r. What is z in p(z) = 0?
0, 1
Factor 2/3 + 2/9*g**2 - 8/9*g.
2*(g - 3)*(g - 1)/9
Let s(i) be the third derivative of -i**7/4200 - i**6/1800 + i**5/600 + i**4/120 + 2*i**3/3 + 6*i**2. Let f(j) be the first derivative of s(j). Solve f(x) = 0.
-1, 1
Suppose 4*z = 3*u + 39, 3*u = -3*z + 37 + 8. Factor 5*p**2 - 2*p**3 - 12*p + z + 6*p**3 - 3*p**4 + 8*p**3 - 14*p**2.
-3*(p - 2)**2*(p - 1)*(p + 1)
Factor 2*w**3 - 5*w**3 - w**3 + w + 2*w**5 + w.
2*w*(w - 1)**2*(w + 1)**2
Let p = 12 - 7. Suppose p*b - 11 = 4. Factor 2*m + 1 + m**3 - 4*m + b*m**2 + 5*m.
(m + 1)**3
Let n(l) be the second derivative of -1/2*l**3 - 1/4*l**4 + 0 + 0*l**2 - 4*l. Factor n(y).
-3*y*(y + 1)
Suppose -8 = r - 23. Suppose 0 = 3*t - 2*w - r, -5*t + w = 7 - 25. Determine u, given that -t*u - u**3 - u + 5*u = 0.
-1, 0, 1
Suppose r + 1 = 3*o - 31, -r + 40 = 3*o. Suppose 71 = 5*l + 51. Solve 3*i + l - 9*i**3 - o*i**2 + 0 + 2 = 0.
-1, 2/3
Let h(w) be the second derivative of w**4/6 + 8*w. Determine r, given that h(r) = 0.
0
Suppose 0 = -u - 2*j - 2, 38 = 3*u - 4*j - j. Suppose -1 = k - u. Factor 16*o**2 - 2*o**4 - k*o**4 - 9*o - 2*o**3 + o**4 + o.
-2*o*(o - 1)*(o + 2)*(3*o - 2)
Let a = -5 - -7. Let x(v) = -2*v - v**2 + 2 - v + a*v. Let k(y) = -2*y**2 - 3*y + 5. Let g(l) = -2*k(l) + 5*x(l). Find b such that g(b) = 0.
0, 1
Let n(l) be the first derivative of -4/9*l**3 - 1 - l - 1/30*l**5 - 2/9*l**4 + 0*l**2. Let m(c) be the first derivative of n(c). Solve m(q) = 0 for q.
-2, 0
Let v(h) be the third derivative of 1/120*h**6 + 0 + 0*h + 0*h**3 + 1/30*h**5 - 4*h**2 + 1/24*h**4. Factor v(k).
k*(k + 1)**2
Let b(t) be the second derivative of t**7/70 - t**5/18 + t**3/18 + 3*t**2/2 + t. Let u(r) be the first derivative of b(r). Suppose u(d) = 0. Calculate d.
-1, -1/3, 1/