).
-3*f**2*(f - 2)
Let w(t) be the first derivative of 1/24*t**4 + 12 - 1/6*t + 1/4*t**2 - 1/6*t**3. Factor w(h).
(h - 1)**3/6
Let v(i) be the first derivative of 2*i**5/5 - i**4 + 2*i**2 - 2*i + 125. Factor v(a).
2*(a - 1)**3*(a + 1)
Let z(y) be the first derivative of -3 - 3/4*y**4 - 12*y**2 - 12*y - 5*y**3. Determine w so that z(w) = 0.
-2, -1
Suppose 69*v**2 + 168*v + 66/7*v**3 + 0 + 3/7*v**4 = 0. Calculate v.
-8, -7, 0
Let y = -17452/3 + 5874. Let c = -56 + y. Factor c*t**4 + 0 + 0*t + 8/3*t**2 - 8/3*t**3.
2*t**2*(t - 2)**2/3
Let k(b) = b**4 + b**3 + b**2 + b - 1. Let y(v) = 18*v**4 + 37*v**3 - 4*v**2 - 2*v + 2. Let d(f) = -4*k(f) - 2*y(f). Suppose d(w) = 0. Calculate w.
-2, 0, 1/20
Suppose -2*g + 19 - 1 = 0. Let q be (-12)/(-54) - (-16)/g. Suppose 4 + 2*h**5 + 2*h**4 + 2*h - 8*h**q - 2*h**4 - 4*h**3 + 4*h**4 = 0. What is h?
-2, -1, 1
Let c(x) = x + 28. Let a be c(-26). Let -3*u**2 + 560*u - 2*u**a - 560*u = 0. What is u?
0
Solve -240/7*n**2 - 3/7*n**4 + 57/7*n**3 - 300/7*n + 0 = 0.
-1, 0, 10
Let r(k) = k**3 + k**2 - 2*k + 2. Let j(n) = -2*n**3 - 3*n**2 + 5*n - 5. Let l(s) = -2*j(s) - 5*r(s). Let w be l(-1). Factor 3*u**2 - u**2 - w - 2*u + 2.
2*u*(u - 1)
Let f(o) = 108*o**4 - 196*o**3 - 392*o**2 - 128*o + 8. Let k(y) = 36*y**4 - 66*y**3 - 131*y**2 - 42*y + 3. Let n(g) = -3*f(g) + 8*k(g). Factor n(m).
-4*m*(m - 3)*(3*m + 2)**2
Let d(q) be the third derivative of -q**6/180 - q**5/3 - 25*q**4/3 - 1000*q**3/9 + 157*q**2. Factor d(s).
-2*(s + 10)**3/3
Let x(w) be the second derivative of -3*w**5/160 - w**4/32 + w**3/4 + 3*w**2/4 + 81*w. Factor x(m).
-3*(m - 2)*(m + 1)*(m + 2)/8
Let k(z) be the first derivative of z**4/10 - 8*z**3/15 - z**2/5 + 8*z/5 - 69. Factor k(s).
2*(s - 4)*(s - 1)*(s + 1)/5
Let h(d) be the second derivative of d**6/160 + 3*d**5/80 + d**4/16 - 3*d**2 - d. Let m(k) be the first derivative of h(k). Factor m(n).
3*n*(n + 1)*(n + 2)/4
Let x(v) be the third derivative of -v**5/72 - 35*v**4/72 - 10*v**3/3 - 59*v**2. What is c in x(c) = 0?
-12, -2
Determine b so that -1/5 + 1/5*b**3 + 1/5*b**2 - 1/5*b = 0.
-1, 1
Let p(b) be the first derivative of 3/2*b**6 + 3/4*b**4 + 0*b - 26 + 6*b**5 + 0*b**2 - 6*b**3. Suppose p(t) = 0. Calculate t.
-3, -1, 0, 2/3
Let g(o) be the third derivative of -1/112*o**8 + o**2 + 1/10*o**7 + 0*o**3 - o**4 + 0*o - 9/20*o**6 + o**5 + 0. Find w, given that g(w) = 0.
0, 1, 2
Let m = 8 - 5. Factor 5*f - 5*f**3 - 6 - 5*f**2 + 14 - m.
-5*(f - 1)*(f + 1)**2
Let d be (7/4)/(((-26)/4568)/13). Let s be (-1)/6 + -7 + d/(-546). What is c in 2/13*c**4 + 0 - 2/13*c**3 - s*c**2 + 2/13*c = 0?
-1, 0, 1
Let t = -591 - -411. Let y be (16/(-10))/(108/t). Factor 1/3*f**3 - 2/3*f**2 + y*f**4 + 5/3*f**5 + 0 + 0*f.
f**2*(f + 1)**2*(5*f - 2)/3
Solve -a**3 + 1/5*a**5 - 1/5*a**4 + a**2 - 4/5 + 4/5*a = 0 for a.
-2, -1, 1, 2
Suppose 0 = -29*o + 4*o. Let b = 3 - 1. Factor -1 + 2*w**3 + w**2 + o*w**3 - b*w - 3*w**3 + 3*w.
-(w - 1)**2*(w + 1)
Let i(g) be the first derivative of 5*g**9/756 + g**8/210 - 22*g**3/3 - 23. Let l(w) be the third derivative of i(w). Suppose l(z) = 0. Calculate z.
-2/5, 0
Let u(s) = -8*s**2 + 24*s. Let n(j) = -j**2 - j. Let f(o) = 4*n(o) - u(o). What is k in f(k) = 0?
0, 7
Let y(s) = -6*s**4 + 5*s**3 - 8*s**2 + 9*s. Let v(i) = -i**4 + i. Let u be 1/(3/45*-3). Let d(m) = u*v(m) + y(m). Factor d(z).
-z*(z - 2)**2*(z - 1)
Let a be (-4)/((-16)/12) + -1. Suppose -4*z + 4 = -4*x, -5*z - 4 = 3*x - 33. Suppose 13*o + 17 + 3 + 3*o - z + 4*o**a = 0. Calculate o.
-2
Suppose 3/4*m**4 - 3/4*m**3 - 3*m**2 + 0 + 3*m = 0. What is m?
-2, 0, 1, 2
Let d be (-38)/78*(2 + 1)*1. Let l = 265/39 + d. What is q in 8/3*q**2 - 1/3*q - l*q**3 + 0 = 0?
0, 1/4
Let t(q) = -q**3 - 3*q**2 + 9*q + 4. Let i be t(4). Let u = -285/4 - i. Determine m so that u*m - 1/8*m**2 - 9/8 = 0.
3
Let n(w) be the second derivative of -1/4*w**4 + 0*w**2 + w**3 - 3*w + 0. Find v, given that n(v) = 0.
0, 2
Let u(i) be the first derivative of -i**6/72 + 13*i**5/180 + i**4/12 - 3*i**2 + 19. Let l(t) be the second derivative of u(t). Factor l(v).
-v*(v - 3)*(5*v + 2)/3
Let r = 678 - 678. Let k(g) be the second derivative of r + 8*g - 1/5*g**5 - 5/12*g**4 - 1/3*g**3 + 0*g**2 - 1/30*g**6. Factor k(s).
-s*(s + 1)**2*(s + 2)
Let b(a) = -a**3 - 12*a**2 - 21*a - 252. Let l be b(-12). Solve 1/5*f + 1/5*f**3 + l + 2/5*f**2 = 0.
-1, 0
Let d(t) be the first derivative of 3*t**5/5 + 9*t**4/4 - 3*t**3 - 33*t**2/2 - 18*t - 45. Determine v so that d(v) = 0.
-3, -1, 2
Suppose 0 = -27*o - 34 + 115. Let k(x) be the first derivative of -5 - 1/3*x**2 + 2/9*x**o + 0*x. Suppose k(w) = 0. What is w?
0, 1
Factor 22*o**2 + 13*o - 16*o**2 + 262*o + 90 + 9*o**2.
5*(o + 18)*(3*o + 1)
Let a be (-96)/216*(-4 - 75/(-20)). Let g(h) be the first derivative of a*h**2 + 2/27*h**3 + 1 - 1/18*h**4 - 2/9*h. Factor g(x).
-2*(x - 1)**2*(x + 1)/9
Let b(w) = 2*w - 4. Let p be b(3). Factor 2*l**4 - 2*l + 2*l**4 - p*l**2 - 2*l**4 + 2*l**3.
2*l*(l - 1)*(l + 1)**2
Let w = 2/1483 + 1477/4449. Factor 0 + w*r - 1/3*r**2.
-r*(r - 1)/3
Let i be (-20)/(-14)*-12*(7/(-105))/1. Find s such that -2/7*s + 0 + 8/7*s**2 - i*s**4 + 2/7*s**3 = 0.
-1, 0, 1/4, 1
Let s(o) be the third derivative of o**6/15 - 5*o**5/6 + 7*o**4/2 - 3*o**3 - 130*o**2. Determine w, given that s(w) = 0.
1/4, 3
Let s be (-8 - 15/(-3)) + (0 - -5). Determine q so that 1/2*q**s - 1/2*q - 1 = 0.
-1, 2
Let p(v) be the second derivative of v**9/22680 - v**8/5040 - 23*v**4/12 + 12*v. Let k(w) be the third derivative of p(w). Factor k(m).
2*m**3*(m - 2)/3
Let z(k) = 4*k**4 - 41*k**3 + 110*k**2 - 108*k + 40. Let q(j) = 4*j**4 - 40*j**3 + 108*j**2 - 108*j + 40. Let n(t) = 5*q(t) - 4*z(t). Factor n(r).
4*(r - 5)*(r - 2)*(r - 1)**2
Factor -60/7*g**2 - 1936/7 + 2/7*g**3 + 594/7*g.
2*(g - 11)**2*(g - 8)/7
Let z(s) = -8*s**3 + 23*s**2 + 16*s - 5. Let i(h) = 4*h**3 - 13*h**2 - 8*h + 3. Let l(x) = -5*i(x) - 3*z(x). Suppose l(g) = 0. Calculate g.
-1, 0, 2
Find m, given that -768 - 48*m - 3/4*m**2 = 0.
-32
Suppose -2*g = -0*m + 4*m + 14, 2*g + 10 = -3*m. Suppose -185*w = -182*w - b - 2, 4*w - 4*b = -8. Factor w + 3 + g - y**2 - 2.
-(y - 2)*(y + 2)
Let z(b) = -2*b - 10. Let l = -57 + 50. Let u be z(l). Solve -2*i**3 - 26/9*i**u + 0 + 4/9*i - 10/9*i**5 + 2/9*i**2 = 0.
-1, 0, 2/5
Suppose 548 - 508 = 10*v. Factor -6 - v*w - 2/3*w**2.
-2*(w + 3)**2/3
Let b(f) = -4*f**3 - 2*f**2 + 8*f + 9. Let i be b(-4). Solve 201*v - 16*v**4 - i*v + 4*v**5 - 8*v**2 + 20*v**3 = 0 for v.
0, 1, 2
Let t(w) be the second derivative of 7*w - 1/6*w**4 + 0*w**3 + 0 + 0*w**2 - 1/30*w**6 - 3/20*w**5. Solve t(i) = 0 for i.
-2, -1, 0
Let w be 20/300*0 + 2*1. Let m(q) be the second derivative of 0*q**w + 0 + 2*q - 6/5*q**5 + 1/2*q**4 + 2/3*q**3 + 7/15*q**6. Determine d so that m(d) = 0.
-2/7, 0, 1
Let d(a) be the third derivative of a**7/105 + a**6/10 + 13*a**5/30 + a**4 + 4*a**3/3 + 2*a**2 + 3. Suppose d(y) = 0. What is y?
-2, -1
Let r(w) be the first derivative of -w**4/18 - 2*w**3/27 + 4*w**2/3 + 607. Factor r(z).
-2*z*(z - 3)*(z + 4)/9
Let i(f) be the third derivative of -f**7/735 - f**6/105 + 11*f**5/105 + f**4/21 - f**3 + 418*f**2. Let i(z) = 0. Calculate z.
-7, -1, 1, 3
Let w(g) = -5*g**4 + 5*g**3 + 9*g**2 - 5*g. Suppose 3*f = -3*f - 36. Let q(o) = -o**3 - o**2 + o - 1. Let h(c) = f*q(c) - 3*w(c). Factor h(j).
3*(j - 1)**2*(j + 1)*(5*j + 2)
Let j = -96 + 68. Let y = -25 - j. Let 1/2 - u**4 - 9/4*u + 1/2*u**2 + 9/4*u**y = 0. Calculate u.
-1, 1/4, 1, 2
Suppose 0 = 237*x - 365 + 189 - 535. Factor -1/3*j**4 - 2/3*j + 2/3*j**x + 0*j**2 + 1/3.
-(j - 1)**3*(j + 1)/3
Let a = 5 - 16. Let j be (-2)/3*(a + 8). Suppose 0 - 4/3*p + 4/3*p**j = 0. Calculate p.
0, 1
Let x(c) be the first derivative of 0*c**3 + 1/20*c**4 + 2/5*c - 15 - 3/10*c**2. Factor x(l).
(l - 1)**2*(l + 2)/5
Let d(k) = -1. Let s(u) = 4*u**2 + 24*u + 56. Let f = 3 + -2. Let g(c) = f*s(c) + 24*d(c). Let g(h) = 0. What is h?
-4, -2
Let z(r) be the third derivative of -1/18*r**4 + 0*r + 1/504*r**8 + 1/105*r**7 + 1/180*r**6 - 1/30*r**5 + 0 + r**2 + 0*r**3. Solve z(d) = 0 for d.
-2, -1, 0, 1
Let s(d) be the third derivative of 0 + 1/42*d**4 - 14*d**2 + 1/21*d**3 + 1/210*d**5 + 0*d. What is k in s(k) = 0?
-1
Factor x**4 + 133*x**2 + 14*x**3 + 36 + 84*x - 296*x**2 + 224*x**2.
(x + 1)**2*(x + 6)**2
Suppose -26*f**2 - 28*f**2 - f**4 + 215*f**3 