2/5*m**j - 4/5*m.
2*(m - 1)**2/5
Let u be (-1 - -2 - (-10 - -8))/1. Suppose -1/4 - 3/4*m - 3/4*m**2 - 1/4*m**u = 0. Calculate m.
-1
Let q be 233/45 - (-8)/36. Factor -6/5 + q*b - 21/5*b**2.
-3*(b - 1)*(7*b - 2)/5
Let t = -12127/20 - -606. Let k = t - -3/4. Suppose -16/5 - 12/5*i**2 - 24/5*i - k*i**3 = 0. Calculate i.
-2
Let x(z) = z**2 - z. Let m(s) = 3*s**2 + 2*s + 4. Let t(u) = -m(u) + 2*x(u). Factor t(k).
-(k + 2)**2
Factor -3/2*i**3 - 21/2*i**2 + 24 - 12*i.
-3*(i - 1)*(i + 4)**2/2
Let s(j) be the first derivative of 7*j**5/10 + 3*j**4/2 + j**3/2 - j**2/2 + 6. Find n such that s(n) = 0.
-1, 0, 2/7
Let i(c) be the first derivative of c**4/2 + 2*c**3 - c**2 - 6*c - 35. Suppose i(m) = 0. What is m?
-3, -1, 1
Suppose 2*m = -2 + 10. Let z(v) be the first derivative of 0*v**3 + 0*v**m - 3 + 0*v**5 - 1/2*v**6 + 0*v**2 + 0*v. Find k, given that z(k) = 0.
0
Let q(n) be the first derivative of -n**3 - 3*n**2/2 - 4. Factor q(y).
-3*y*(y + 1)
Let r be 6/(-4)*8/(-3). Factor -m**2 + 2*m**3 - m**2 - 2*m**r + 2*m**2.
-2*m**3*(m - 1)
Let a(c) be the first derivative of 1/10*c**4 + 12/5*c**2 + 1 - 16/5*c - 4/5*c**3. Factor a(d).
2*(d - 2)**3/5
Suppose -3*k + 4 = -2*k. Suppose -4*p + 0*r + 16 = 2*r, -k*r = 2*p - 20. Factor -2*o**4 + 0 - 2/3*o**p + 2/3*o**5 + 0*o + 2*o**3.
2*o**2*(o - 1)**3/3
Let w(g) be the third derivative of g**5/60 + 3*g**4/8 + g**3/2 - 14*g**2. Let c be w(-9). Factor 2/7*t**c + 4/7*t**2 - 4/7 - 2/7*t.
2*(t - 1)*(t + 1)*(t + 2)/7
Let h(x) be the second derivative of -1/10*x**6 - 1/2*x**3 + 1/4*x**4 + 0*x**2 + 0 - 4*x + 3/20*x**5. Factor h(b).
-3*b*(b - 1)**2*(b + 1)
Let m(o) = -o - 3. Let s be m(-6). Suppose -34*h**s + 8*h**4 + 24*h**2 + 79*h**3 + 4*h + 17*h**4 = 0. Calculate h.
-1, -2/5, 0
Let j = 24 + -23. Let v = j + -2/3. Suppose 0 + 1/3*d**2 + 2/3*d - v*d**3 = 0. Calculate d.
-1, 0, 2
Let o(b) be the second derivative of -b**7/84 + b**6/60 + b**5/40 - b**4/24 + 4*b. Let o(c) = 0. What is c?
-1, 0, 1
Suppose -z + 4 = s, 2*z - s - 6 = -1. What is i in 2/3*i**2 - 2/3*i**z + 1/3*i - 1/3*i**4 + 1/3*i**5 - 1/3 = 0?
-1, 1
Let s(v) = -8*v**2 + 6. Let b(o) = -7*o**2 + 5. Let f(k) = 6*b(k) - 5*s(k). Suppose f(l) = 0. Calculate l.
0
Let f(q) be the third derivative of -3*q**7/35 - q**6/20 - q**5/120 - 16*q**2. Suppose f(j) = 0. Calculate j.
-1/6, 0
Let c(r) be the second derivative of r**6/1080 - r**5/360 - r**3/3 - 4*r. Let y(q) be the second derivative of c(q). Factor y(b).
b*(b - 1)/3
Suppose 0 = 3*c - 4*c - 3*g - 7, 0 = -4*c - 4*g + 4. Let u = 9 - c. Solve -4*b + 0*b**2 + 2*b**4 + 4*b**3 - 2*b**2 - 4*b**2 + u*b**2 = 0 for b.
-2, -1, 0, 1
Let k(j) be the first derivative of -j**6/2 + 6*j**5/5 + 3*j**4/4 - 2*j**3 + 9. Find a such that k(a) = 0.
-1, 0, 1, 2
Let v(a) be the second derivative of -a + 0 - 1/24*a**4 + 1/12*a**3 + 1/60*a**6 + 0*a**2 - 1/40*a**5. Factor v(b).
b*(b - 1)**2*(b + 1)/2
Let i(l) be the second derivative of l**5/30 + l**4/18 - l**3/9 - l**2/3 + 5*l. Factor i(w).
2*(w - 1)*(w + 1)**2/3
Let j(x) = -x - 18. Let q be j(-9). Let w be (-28)/(-6) - (-6)/q. Factor 6*y**2 - y**3 + y**3 - 2*y**3 - w*y.
-2*y*(y - 2)*(y - 1)
Determine r, given that -4/9*r**3 - 20/9*r + 16/9*r**2 + 8/9 = 0.
1, 2
Factor -10*f - 13 + 88 + 40*f + 3*f**2.
3*(f + 5)**2
Let k(b) be the second derivative of 4/15*b**3 + 1/105*b**7 + 0 + 13/50*b**5 + 2/25*b**6 + 0*b**2 + 3*b + 2/5*b**4. Solve k(m) = 0.
-2, -1, 0
Let o = -5 - -3. Let r = o + 2. Factor 3/4*l**2 - 3/4*l**3 + 1/4*l**4 - 1/4*l + r.
l*(l - 1)**3/4
Determine m, given that 10/7*m**2 + 2/7*m**4 + 8/7*m**3 + 0 + 4/7*m = 0.
-2, -1, 0
Let i = 492 + -5410/11. Factor -4/11*u**3 + 8/11*u + 8/11 + i*u**4 - 6/11*u**2.
2*(u - 2)**2*(u + 1)**2/11
Let s(m) be the third derivative of 4*m**2 + 0*m - 2/25*m**5 + 0 - 1/15*m**3 - 7/60*m**4. Solve s(k) = 0.
-1/3, -1/4
Let o(l) be the first derivative of l**6/150 + 3*l**5/100 + l**4/20 + l**3/30 - 2*l - 2. Let s(x) be the first derivative of o(x). Find z, given that s(z) = 0.
-1, 0
Let d(g) be the first derivative of -g**6/45 + g**5/15 - g**4/18 + 5*g + 1. Let c(u) be the first derivative of d(u). Factor c(v).
-2*v**2*(v - 1)**2/3
Let f(l) be the second derivative of 1/4*l**2 + 3/16*l**4 - 3*l + 11/24*l**3 + 0. Determine d, given that f(d) = 0.
-1, -2/9
Let p(a) = a**3 - 10*a**2 - 10*a + 6. Let t be p(11). Let l be -3 - 2*t/(-10). Factor 0*o - l*o**3 + 0 + 2/5*o**2.
-2*o**2*(o - 1)/5
Let w(y) be the second derivative of -y**6/135 - 7*y**5/90 - y**4/9 + 22*y - 1. Determine q, given that w(q) = 0.
-6, -1, 0
Let a(p) be the third derivative of p**7/14 - p**6/20 - p**5/4 + p**4/4 - 8*p**2. Factor a(m).
3*m*(m - 1)*(m + 1)*(5*m - 2)
Suppose -2 = 4*j - 3*j. Let r = 0 - j. Factor -r*y**3 + 4*y + 2*y - 2*y**2 - 2*y.
-2*y*(y - 1)*(y + 2)
Suppose 0 = -2*w + 6. Factor 4*p**3 - w*p**3 - 3*p**3 + 0*p**3.
-2*p**3
Factor 15*y**2 + 4*y**3 + y**2 + 8 + 5*y + 15*y.
4*(y + 1)**2*(y + 2)
Suppose 2*h + 3*h - 25 = -m, 10 = 2*h. Let l(g) be the third derivative of -2*g**2 + 1/9*g**3 + 0*g + m - 1/90*g**5 + 0*g**4. Factor l(p).
-2*(p - 1)*(p + 1)/3
Let s(o) be the first derivative of 1 - 1/3*o**6 + o**4 + o - o**2 - 2/3*o**3 + 1/5*o**5. Solve s(r) = 0 for r.
-1, 1/2, 1
Let h(n) = -6*n**5 - 7*n**4 - 8*n**3 + n**2 + 2*n. Let b(p) = -p**5 + p**4 - p**3 + p**2 + p. Let d(k) = 2*b(k) - h(k). What is z in d(z) = 0?
-1, -1/4, 0
Let y(g) be the third derivative of -g**7/10080 - g**6/960 - g**5/240 + g**4/8 - 3*g**2. Let n(l) be the second derivative of y(l). Factor n(t).
-(t + 1)*(t + 2)/4
Let c be 1/(-8) - ((-85)/40 - -2). Suppose 2/7 + c*l - 2/7*l**2 = 0. What is l?
-1, 1
Let i(x) = 2*x**2 - 3. Let o be (-6)/(1/(-1) - -3). Let z(w) = -1. Let m(u) = o*z(u) + i(u). Factor m(c).
2*c**2
Let q = 2356/3 + -785. Suppose -q*m**2 - 1/3 - 2/3*m = 0. Calculate m.
-1
Let a(u) be the second derivative of u**7/21 + 2*u**6/15 - u**5/10 - u**4/3 - 16*u. Factor a(n).
2*n**2*(n - 1)*(n + 1)*(n + 2)
Let d(u) = u**2 - u + 1. Let k(y) = 8*y**2 + 10*y + 38. Let q(h) = -12*d(h) + 2*k(h). Find c, given that q(c) = 0.
-4
Let w(v) be the first derivative of -18*v**5/5 + 11*v**4/2 - 4*v**3/3 - 19. Factor w(t).
-2*t**2*(t - 1)*(9*t - 2)
Solve 4/11*r**4 + 0 + 2/11*r**5 + 0*r**3 - 4/11*r**2 - 2/11*r = 0.
-1, 0, 1
Let v = 5 + -19/5. Let y = 23/22 - -61/110. Factor 4*w**2 + v*w**3 - 16/5 + y*w.
2*(w + 2)**2*(3*w - 2)/5
Let s(c) be the second derivative of -c**6/20 + 3*c**5/40 + 37*c. Let s(r) = 0. Calculate r.
0, 1
Let i(f) be the third derivative of f**7/630 - f**6/120 + f**5/90 + 6*f**2. Factor i(o).
o**2*(o - 2)*(o - 1)/3
Let r(k) be the third derivative of -1/560*k**7 - 1/80*k**5 + 0*k**4 + 0 + 0*k + 0*k**3 - 3/320*k**6 + 2*k**2. Find w such that r(w) = 0.
-2, -1, 0
Let g be (189/(-54))/((-7)/4). What is v in 2/9 + 2/3*v**g + 2/3*v + 2/9*v**3 = 0?
-1
Let s(n) be the third derivative of -n**6/320 + n**5/32 + n**4/64 - 5*n**3/16 + 15*n**2. Suppose s(w) = 0. What is w?
-1, 1, 5
Let n(m) be the second derivative of m**5/5 - 2*m**4 + 6*m**3 - 8*m. Factor n(t).
4*t*(t - 3)**2
Suppose 12 = l + 5*m, -4*m + 13 - 1 = l. Suppose 2*n - 2 = -2*c, 5*n = -c + 1 + l. Let 8/11*t**n - 2/11*t**2 + 0*t + 0 = 0. What is t?
0, 1/4
Suppose 3/4*f + 1/4*f**5 - 1/2 + 1/2*f**2 + 0*f**4 - f**3 = 0. What is f?
-2, -1, 1
Determine r, given that 4*r + 2*r - r - 4*r - r**2 = 0.
0, 1
Let i(c) = c**3 + 5*c**2 + 4*c. Let q be i(-5). Let b be (-18)/24 + (-47)/q. Determine o so that 2/5*o + 2/5*o**5 + 8/5*o**2 + 0 + b*o**4 + 12/5*o**3 = 0.
-1, 0
Find l such that 2*l**2 - l**2 + 3*l + 2 + 0 = 0.
-2, -1
Let x(l) be the second derivative of -3*l**5/20 + l**3/2 + 4*l. Find p such that x(p) = 0.
-1, 0, 1
Let u be 30/(-50) - 22/5. Let g(y) = y**3 + 5*y**2 - y - 2. Let a be g(u). Factor -1/3*w + 0 - 1/2*w**4 - 4/3*w**a - 7/6*w**2.
-w*(w + 1)**2*(3*w + 2)/6
What is q in 13 + 11 + 5*q**2 - 39 + 10*q = 0?
-3, 1
Let 3 + 3 + 9*i - i**3 - 2*i**3 = 0. What is i?
-1, 2
Let p = -29 - -21. Let u = 12 + p. Factor 3*g**u - g**4 - 2*g**3 + 4*g**3.
2*g**3*(g + 1)
Let d = 212/3 - 70. Let x(f) be the second derivative of -d*f**3 + 0 + f - 1/60*f**5 + 4/3*f**2 + 1/6*f**4. Determine i so that x(i) = 0.
2
Let 8*s + 8/3*s**4 - 16/9 + 22/9*s**3 - 10/9*s**5 - 92/9*s**2 = 0. What is s?
-2, 2/5, 1, 2
Suppose h + 1 + 2 = 0, 3*h + 69 = 5*j. Factor 6 - 3 - 12*b**3 - 3 + 3*b**4 + j*b**2.
3*b**