, -1/4
Factor 0*w - 5 - 2*w**3 - 16*w - 10*w**2 + 0*w**3 - 3.
-2*(w + 1)*(w + 2)**2
Suppose -2*y + 6 = 2*h, -y + 2*h - 3 = 6*h. Let j be (-4)/y*(-15)/6. Factor -3*w**j + 0*w - 2*w + w**2.
-2*w*(w + 1)
Factor 2/7*k**2 + 6/7 + 8/7*k.
2*(k + 1)*(k + 3)/7
Let k(g) be the third derivative of -g**5/36 - 25*g**4/18 - 250*g**3/9 + 26*g**2. Let k(d) = 0. Calculate d.
-10
Factor -2/7 - 2/7*i**4 + 4/7*i**2 + 0*i + 0*i**3.
-2*(i - 1)**2*(i + 1)**2/7
Let s(p) be the third derivative of -p**3 - 4/5*p**5 + 0*p + 11/8*p**4 + 7/40*p**6 - 9*p**2 + 0. Solve s(b) = 0.
2/7, 1
Let h(a) be the second derivative of -a**6/40 + a**5/10 - a**4/8 - 3*a**2/2 - a. Let t(k) be the first derivative of h(k). Factor t(q).
-3*q*(q - 1)**2
Let r(g) be the third derivative of -g**5/10 + 5*g**4/8 - g**3 + 5*g**2. Factor r(d).
-3*(d - 2)*(2*d - 1)
Solve -16/5 + 24/5*f**3 - 4/5*f**4 + 48/5*f - 52/5*f**2 = 0.
1, 2
Let r(h) be the third derivative of h**5/30 + h**4/24 - h**3/6 + h**2. Factor r(q).
(q + 1)*(2*q - 1)
Factor -2*a**2 - 8 + 9*a - a**2 + 2.
-3*(a - 2)*(a - 1)
Suppose -6 = 2*t - t. Let g(m) = 7*m**2 - 8 + 9*m**4 + 0*m**3 + 15 + 2*m**3. Let a(b) = 8*b**4 + 2*b**3 + 6*b**2 + 6. Let j(k) = t*g(k) + 7*a(k). Factor j(y).
2*y**3*(y + 1)
Let t be 6 + 4/((-4)/2). Solve -8*x**3 + 0 + 4 + 2*x**5 + 4*x**5 - 12*x**2 + 2*x + 8*x**t = 0 for x.
-1, 2/3, 1
Let h(f) be the first derivative of f**6/60 - f**5/30 - f**4/12 + f**3/3 + f**2/2 + 3. Let l(d) be the second derivative of h(d). Find j, given that l(j) = 0.
-1, 1
Let n(i) be the second derivative of 1/15*i**6 + 1/12*i**3 + 3/20*i**5 + 1/6*i**4 - i + 0*i**2 + 1/84*i**7 + 0. Let n(t) = 0. Calculate t.
-1, 0
Let s be (5/2 + -3)*0. Let a(i) be the second derivative of -1/4*i**2 + i + 0 + s*i**3 + 1/24*i**4. Factor a(d).
(d - 1)*(d + 1)/2
Suppose 4*q = -0*q + 12. What is a in 4*a**2 - 4 - 2*a - a**3 + 8*a**3 - 5*a**q = 0?
-2, -1, 1
Let c(l) be the second derivative of -l**4/48 - l**3/24 - 8*l. Factor c(m).
-m*(m + 1)/4
Suppose -8 = f - 5*f. Let y = f + 2. Determine x so that -2/3*x**y + 0*x - 2/3 + 4/3*x**2 + 0*x**3 = 0.
-1, 1
Factor 0 - 1/4*o**2 - 1/4*o.
-o*(o + 1)/4
Suppose 248 = 2*i + 242. Factor 0*a + 0 + 1/3*a**i + 2/3*a**2.
a**2*(a + 2)/3
Determine w so that 12/5 + 2*w - 16/5*w**2 - 6/5*w**3 = 0.
-3, -2/3, 1
Let i(o) = 2*o + 7. Let r be i(4). Let w be 2 - -2 - 54/r. Suppose 0 + 2/5*x - 2/5*x**2 + w*x**4 - 2/5*x**3 = 0. Calculate x.
-1, 0, 1
Let o(p) be the first derivative of -p**7/1680 + p**5/240 - 2*p**3/3 - 3. Let a(t) be the third derivative of o(t). Solve a(v) = 0.
-1, 0, 1
Let v be (-12)/(-10)*(-40)/(-16). Determine x, given that 0 + 5/3*x**3 - 7/3*x**5 + 2/3*x + v*x**2 - 3*x**4 = 0.
-1, -2/7, 0, 1
Let p(i) be the second derivative of 0*i**2 + 0 + 1/30*i**4 + 0*i**3 - i. What is q in p(q) = 0?
0
Let u = 65 - 61. Let v(n) be the second derivative of 3*n - 1/6*n**3 + 0 + 1/24*n**u + 0*n**2. Factor v(g).
g*(g - 2)/2
Let q be ((-219)/75 + 3)/((-2)/(-10)). Let 0*g + 0 + 0*g**2 - 7/5*g**4 + q*g**3 = 0. Calculate g.
0, 2/7
Let d(h) be the second derivative of 0 - 1/7*h**3 - 2/7*h**2 + 0*h**4 + 1/70*h**5 + 8*h. Factor d(o).
2*(o - 2)*(o + 1)**2/7
Suppose -2*o = 3*z - 5 - 20, -4*o + 30 = 2*z. Suppose 38*y**5 - 11*y**2 - 8*y**3 - 154*y**4 - 56*y**3 - 136*y**z + 3*y**2 = 0. Calculate y.
-1, -2/7, 0
Determine d, given that -d - 4/3 + 1/3*d**2 = 0.
-1, 4
Let f(m) = -m**3 + 6*m**2 + m - 3. Let x(y) = -y**3 + y**2 + y + 6. Let o be x(0). Let c be f(o). Factor 0*w**4 + 2/5*w**c + 0*w**2 - 1/5*w**5 - 1/5*w + 0.
-w*(w - 1)**2*(w + 1)**2/5
Let p be (-3)/((-6)/10) - 2. Let h be (p - -2)*(-20)/(-75). What is z in -h*z + 2/3 + 2/3*z**2 = 0?
1
Let q(h) = -7*h**2 - 7*h. Let j(k) = 4*k**2 - 10*k + 7. Let a(v) = -v**2 + 3*v - 2. Let m(t) = -7*a(t) - 2*j(t). Let w(p) = -5*m(p) + q(p). Factor w(f).
-2*f*(f + 1)
Let z(o) = o**4 - o**3 + 1. Let n(a) = 12*a**4 - 8*a**3 - 2*a**2 - 2*a + 10. Let v(y) = -n(y) + 10*z(y). Determine p so that v(p) = 0.
-1, 0, 1
Let g(w) be the first derivative of 2/5*w**3 - 6/25*w**5 - 3/10*w**2 + 6 + 1/10*w**6 + 0*w**4 + 0*w. Determine d, given that g(d) = 0.
-1, 0, 1
Let t(x) be the first derivative of x**6/9 - 8*x**5/15 + x**4 - 8*x**3/9 + x**2/3 + 1. Let t(s) = 0. What is s?
0, 1
What is l in 9*l**4 + 6*l**3 + 31*l + 12 - 9*l**2 - 43*l - 6*l**4 = 0?
-2, 1
Suppose -j = -6*j - 20. Let c = 6 + j. Factor -4*f**3 + 9*f**3 - 7*f + 3*f**c + 2*f + 3*f.
f*(f + 1)*(5*f - 2)
Let m(d) be the third derivative of d**7/1260 + d**6/80 + 7*d**5/120 + 19*d**4/144 + d**3/6 + 11*d**2. Find l, given that m(l) = 0.
-6, -1
Factor 1/4*o**3 + 0 + 3/4*o**4 - 1/2*o + 1/4*o**5 - 3/4*o**2.
o*(o - 1)*(o + 1)**2*(o + 2)/4
Let b(h) = -h**2 + 3*h + 8. Let p be b(4). Let -8*z**2 - 6*z - 4*z**p + 2*z + 4*z**3 + 6*z**2 + 6*z**2 = 0. Calculate z.
-1, 0, 1
Let o(i) = -3*i**3 + 12*i**2 + 21*i - 21. Let b(t) = t**3 - 3*t**2 - 5*t + 5. Let c be (2 + -3)*(-2 + 4). Let z(g) = c*o(g) - 9*b(g). Factor z(y).
-3*(y - 1)**2*(y + 1)
Let k(s) be the third derivative of -s**7/2310 - s**6/1980 + s**5/660 + s**3/2 - 2*s**2. Let h(b) be the first derivative of k(b). Factor h(l).
-2*l*(l + 1)*(2*l - 1)/11
Let o(q) be the second derivative of -1/90*q**5 + 1/189*q**7 + 8*q + 0*q**2 + 1/54*q**4 + 0 - 1/135*q**6 + 0*q**3. Solve o(i) = 0 for i.
-1, 0, 1
Let a(b) = b**5 + b**4 - 4*b**3 - 4*b**2. Let w(c) = -c**5 - 3*c**3 + c**4 - 3*c**2 + 0*c**2 + 2*c**5. Let z(r) = -2*a(r) + 3*w(r). Factor z(o).
o**2*(o - 1)*(o + 1)**2
Let m(f) be the third derivative of 1/140*f**7 + 0*f**3 - 1/40*f**6 + 0*f**4 + 2*f**2 + 1/40*f**5 + 0*f + 0. What is t in m(t) = 0?
0, 1
Factor 0*t**2 + 12/7 - 2*t + 2/7*t**3.
2*(t - 2)*(t - 1)*(t + 3)/7
Let y(j) be the second derivative of j**8/5040 - j**6/1080 + j**3/2 - 3*j. Let c(l) be the second derivative of y(l). Solve c(r) = 0.
-1, 0, 1
Let m(t) be the second derivative of -t**6/1620 + t**4/108 + t**3/6 - t. Let w(c) be the second derivative of m(c). Factor w(b).
-2*(b - 1)*(b + 1)/9
Let c(s) be the first derivative of 0*s + 6*s**2 - 4*s**3 + 3/5*s**5 - 3/4*s**4 + 7. Factor c(g).
3*g*(g - 2)*(g - 1)*(g + 2)
Let k(x) be the second derivative of -x**7/42 - x**6/30 + 3*x**5/20 + 5*x**4/12 + x**3/3 - 32*x. Factor k(p).
-p*(p - 2)*(p + 1)**3
Let w = 23/10 + -59/30. Solve 2/3 + o + w*o**2 = 0 for o.
-2, -1
Let g(a) be the second derivative of -a**7/420 + a**6/105 - a**5/140 - a**4/42 - a**3/2 + a. Let m(f) be the second derivative of g(f). Solve m(n) = 0.
-2/7, 1
Let h(z) be the third derivative of -z**5/150 - 7*z**4/60 - 2*z**3/3 - 11*z**2 - 3. Factor h(n).
-2*(n + 2)*(n + 5)/5
Suppose -5*i + 21/4*i**2 + 1 = 0. Calculate i.
2/7, 2/3
Let v be (-10)/15 + -3 + (-75)/(-18). Suppose -1/4*m**5 + 1/2*m**2 + 1/4*m - v*m**4 + 0*m**3 + 0 = 0. Calculate m.
-1, 0, 1
Let r = 328/7 + -46. Factor -6/7 + 2/7*v**3 - 2/7*v + r*v**2.
2*(v - 1)*(v + 1)*(v + 3)/7
Let j(d) be the third derivative of -1/210*d**5 + d**2 + 0*d**3 - 1/84*d**4 + 1/420*d**6 + 0 + 0*d + 1/735*d**7. Factor j(r).
2*r*(r - 1)*(r + 1)**2/7
Suppose 6 = 3*y - 3. Factor -1 - r**4 - 8*r + 12*r**2 - 8*r**y + 3 + 3*r**4.
2*(r - 1)**4
Suppose -4*f - 4*p + 92 = 0, -6 - 19 = -5*p. Let d be -2 - (4 + f/(-2)). Solve -2/11*g**d + 2/11*g**4 - 2/11*g**2 + 2/11*g**5 + 0 + 0*g = 0.
-1, 0, 1
Find i, given that -i - 15*i**3 + i - 9*i + 21*i**2 + 17*i**4 - 14*i**4 = 0.
0, 1, 3
Let s = 1 + 1. Solve 2*w**2 + s*w**2 - 3*w**2 + 2*w = 0.
-2, 0
Suppose 0 - 4/7*w - 2/7*w**3 + 6/7*w**2 = 0. Calculate w.
0, 1, 2
Let s be (-12)/7*(-413)/590. Let v be ((-3)/5)/((-9)/6). Factor 6/5*a**3 + 2/5*a**4 - 4/5 - s*a + v*a**2.
2*(a - 1)*(a + 1)**2*(a + 2)/5
Let q(c) be the first derivative of -2/21*c**3 + 3/7*c**2 + 2 - 4/7*c. Factor q(l).
-2*(l - 2)*(l - 1)/7
Let k = -10 - -152. Factor -73*o**4 - 77*o**4 - 69*o**3 + 4*o**3 + 125*o**5 + 14 + k*o**2 - 60*o - 6.
(o - 1)*(o + 1)*(5*o - 2)**3
Factor -10*r**2 + 3*r**3 - r - 3*r**3 + 12*r**2 - r**3.
-r*(r - 1)**2
Let b be 0 + (-17)/(-35) + (-10)/35. Determine x so that b*x**3 + 0 + 2/5*x**2 + 0*x = 0.
-2, 0
Let i = 2/11 + -19/165. Let l(z) be the second derivative of i*z**4 - 1/50*z**5 + 0*z**2 - 1/15*z**3 + 0 + z. Factor l(x).
-2*x*(x - 1)**2/5
Find k such that 9*k + 11*k + 6 + 12*k**3 + 21*k**4 + 24*k**2 - 19*k**4 = 0.
-3, -1
Factor 1/2 + 1/2*z**2 + z.
(z + 1)**2/2
Let m be 5/(-2)*18/(-15). Find p such th