erivative of 1/50*l**5 + 0*l**2 + m*l**4 - l + 0 - 1/75*l**6 - 1/15*l**3. Let g(v) = 0. Calculate v.
-1, 0, 1
Suppose b = 3*v - 7*v + 83, -3*v - 3*b = -51. Suppose -3*u + v = q, -q = 4*u - 3*q - 46. Factor -5*p**4 + p - 6*p**3 - 9*p**3 - u*p**2 + 2*p**3 + 2.
-(p + 1)**3*(5*p - 2)
Factor -1/3*o**3 - 1/3*o**2 + 2/3*o + 0.
-o*(o - 1)*(o + 2)/3
Factor 10/21*t**2 + 10/21*t - 50/21*t**3 - 2/21 - 32/21*t**5 - 80/21*t**4.
-2*(t + 1)**3*(4*t - 1)**2/21
Let o(x) be the second derivative of 0*x**3 + 0*x**2 - 4*x - 1/4*x**4 + 0. Factor o(q).
-3*q**2
What is u in 3 + 7/2*u**3 + 17/2*u + 17/2*u**2 + 1/2*u**4 = 0?
-3, -2, -1
Factor 0*x**2 + 0 + 0*x - 2/7*x**5 - 4/7*x**4 + 6/7*x**3.
-2*x**3*(x - 1)*(x + 3)/7
Let b be 1044/(-90)*2/28 + 1. Let s(w) be the first derivative of 3/14*w**4 + 2 + 1/21*w**6 + 0*w**2 + 0*w - b*w**5 - 2/21*w**3. Find c, given that s(c) = 0.
0, 1
Factor 25 + 2*d**2 - 10*d**2 + 3*d**2 - 20*d.
-5*(d - 1)*(d + 5)
Suppose -v - 2*v = 6. Let l be 5 + (v - 4)/2. Factor 6/5*j**l - 2/5*j**4 - 8/5 + 4/5*j**3 - 8/5*j.
-2*(j - 2)**2*(j + 1)**2/5
Let d = -533 + 765. Let r = d - 1618/7. Factor r*b**2 + 2/7*b**4 + 0 + 6/7*b**3 + 2/7*b.
2*b*(b + 1)**3/7
Let d = -4 - -6. Suppose b - d*o - 5 = -0, o - 5 = -2*b. Factor -8*j**4 - 5*j - 32*j**2 - j**5 - 11*j - 14*j**3 - 10*j**b.
-j*(j + 2)**4
Factor 2*y**4 + y**4 + 0*y**4 + 4*y**3 - y**5 - 6*y**3.
-y**3*(y - 2)*(y - 1)
Suppose 0 = 2*s - s - 8. Factor -19*h**2 + 13*h**2 + s*h**2.
2*h**2
Let a(g) be the second derivative of g**4/6 - 2*g**3/3 + g. Solve a(w) = 0.
0, 2
Let v be 1*(1 - 0)*5. Let w(y) = -1. Let c(l) = 2*l**2 - 3*l + 3. Let q(f) = v*w(f) + c(f). Factor q(d).
(d - 2)*(2*d + 1)
Suppose m**3 + 4*m + 4*m**2 + 13 + m - 11 = 0. Calculate m.
-2, -1
Let s = 10 + -9. Let k(b) be the first derivative of -2/27*b**3 + s - 1/18*b**4 + 0*b + 0*b**2. Factor k(n).
-2*n**2*(n + 1)/9
Let o(m) be the first derivative of -6 - 1/3*m**4 + 2/3*m**2 + 2/15*m**5 - 2/9*m**3 + 0*m. Factor o(s).
2*s*(s - 2)*(s - 1)*(s + 1)/3
Let b(z) be the second derivative of z**5/5 - z**4 + 4*z**3/3 + 6*z. Solve b(h) = 0 for h.
0, 1, 2
Let f(g) be the second derivative of g**8/720 + g**7/504 - g**6/540 - g**3/2 - g. Let o(c) be the second derivative of f(c). Factor o(r).
r**2*(r + 1)*(7*r - 2)/3
Factor g**4 + 6*g + 2*g**3 - 4801*g**5 - 13*g**2 + 4800*g**5 + 5*g**3.
-g*(g - 2)*(g - 1)**2*(g + 3)
Factor 606 + 96*v**2 + 768*v + 2*v**3 + 2*v**3 + 1442.
4*(v + 8)**3
Let v(z) be the second derivative of 0*z**3 + 1/420*z**6 + 1/210*z**5 + 0 + z**2 + 0*z**4 + 3*z. Let x(i) be the first derivative of v(i). Factor x(j).
2*j**2*(j + 1)/7
Let z(s) be the first derivative of -1/540*s**6 + 1/108*s**4 + s**2 - 2 + 0*s**5 + 0*s**3 + 0*s. Let b(j) be the second derivative of z(j). Solve b(k) = 0.
-1, 0, 1
Let a = 25/21 - 6/7. Let i = 624 + -624. Suppose -1/3*o**2 + a + i*o = 0. What is o?
-1, 1
Let f(m) = -m - 11. Let y be f(-8). Let v be 1 + (1 + y - -3). Find s such that 66/5*s**v + 32/5*s**4 - 4*s - 16*s**3 + 2/5 = 0.
1/4, 1
Let l(p) be the first derivative of -p**7/98 - p**6/35 - 3*p**5/140 - p + 6. Let r(z) be the first derivative of l(z). Factor r(u).
-3*u**3*(u + 1)**2/7
Let x(z) = z**2 - 5*z + 3. Let y be x(3). Let t(c) = 8*c**3 - 7*c**2 - c + 3. Let s(h) = -8*h**3 + 8*h**2 - 2. Let b(k) = y*s(k) - 2*t(k). Factor b(v).
2*v*(v - 1)*(4*v - 1)
Let p(w) be the third derivative of 0*w**3 + 1/1050*w**7 - 1/150*w**5 + w**2 + 0*w**4 - 1/600*w**6 + 0 + 0*w. Factor p(d).
d**2*(d - 2)*(d + 1)/5
Let r(o) be the second derivative of o**6/120 - o**5/40 - o**4/48 + o**3/12 + 9*o. Factor r(u).
u*(u - 2)*(u - 1)*(u + 1)/4
Determine h so that 0 + 2/11*h - 2/11*h**3 + 2/11*h**2 - 2/11*h**4 = 0.
-1, 0, 1
Let o(z) = 0 + z + 0*z + 1. Let i be o(3). Factor 0*m**4 + i*m**4 - 5*m**2 + 2*m**5 + m + m**2 - 3*m.
2*m*(m - 1)*(m + 1)**3
Let r(y) = -y**3 - 6*y**2 + 8*y + 7. Let g be r(-7). Let u be (-2)/10*-2 - g. Factor 8/5*j**5 + 0 + 4/5*j**2 + u*j - 8/5*j**4 - 6/5*j**3.
2*j*(j - 1)**2*(2*j + 1)**2/5
Let m be (3/(-4))/((-4)/((-96)/(-9))). Let f(k) be the second derivative of 0 - 2/9*k**3 + m*k + 1/3*k**2 + 1/18*k**4. Let f(c) = 0. What is c?
1
Suppose 100 = 4*x + i, -2*x - i + 46 = -6. Let s be (-1)/4 + 70/x. Factor -10/3*v + 4/3 - 2/3*v**3 + s*v**2.
-2*(v - 2)*(v - 1)**2/3
Let x(i) be the second derivative of 1/48*i**4 + i**2 - 1/12*i**3 - 1/240*i**6 - 3*i + 0 + 1/120*i**5. Let w(y) be the first derivative of x(y). Factor w(c).
-(c - 1)**2*(c + 1)/2
Let k(g) be the third derivative of g**8/336 + g**7/70 + g**6/60 - 4*g**2. Factor k(j).
j**3*(j + 1)*(j + 2)
Let o = -1 - -7. Let q(r) be the first derivative of -r + 1 + 1/3*r**o - 1/5*r**5 - r**4 + r**2 + 2/3*r**3. Determine w so that q(w) = 0.
-1, 1/2, 1
Let t(o) be the second derivative of 3/2*o**3 - 27/16*o**4 - 2*o - 1/2*o**2 + 0. Factor t(c).
-(9*c - 2)**2/4
Find z such that -1/3*z + 1/2*z**5 - 1/6*z**3 + 7/6*z**4 - 7/6*z**2 + 0 = 0.
-2, -1, -1/3, 0, 1
Find b, given that -2*b**5 - 20*b**2 - 20*b**3 - 2 + 33*b - 19*b - 24*b - 10*b**4 = 0.
-1
Let j(g) be the first derivative of 2*g**3 - 2*g**2 - 2 - 1/2*g**4 + 0*g. Factor j(q).
-2*q*(q - 2)*(q - 1)
Factor 2*m + 0*m + 21*m**2 + 4 + 3*m**2 + 4*m**4 - 18*m - 16*m**3.
4*(m - 1)**4
Factor 0 - 1/3*x**3 - 1/3*x**2 + 0*x.
-x**2*(x + 1)/3
Let w(x) be the second derivative of 10*x**7/21 + 26*x**6/15 - 16*x**5/5 - 56*x**4/3 - 32*x**3/3 + 32*x**2 - x - 2. Suppose w(d) = 0. Calculate d.
-2, -1, 2/5, 2
Let g be -3 + ((-63)/(-3) - 3). Factor 16 + 4*u**2 - 5*u + 29*u**3 + 2*u**2 + 5*u**2 - 18 + g*u**4.
(u + 1)**2*(3*u + 1)*(5*u - 2)
Let u(f) be the third derivative of -2/105*f**6 - 4/105*f**5 + 0*f**3 + 0*f + 0*f**4 + 0 - 2/735*f**7 + 5*f**2. What is p in u(p) = 0?
-2, 0
Let r(y) be the second derivative of y**7/2520 - y**6/240 + y**5/60 + y**4/4 + 2*y. Let z(l) be the third derivative of r(l). Factor z(h).
(h - 2)*(h - 1)
Let n be (-1)/(-2)*(-5 - 153/(-27)). Factor -n*v**2 + 4/3*v - 1.
-(v - 3)*(v - 1)/3
Let o(z) = -15*z**3 - 15*z**2 + 20*z. Let j(d) = -d**3 - d**2 + d. Let i(a) = -10*j(a) + o(a). Let i(u) = 0. Calculate u.
-2, 0, 1
Let r = 111 + 17. Suppose 4*u**4 + r*u**2 - 4*u**5 + 3*u - 3*u - 132*u**2 + 4*u**3 = 0. What is u?
-1, 0, 1
Find h, given that 2/3*h**3 + 0 + 0*h**4 - 1/3*h**5 - 1/3*h + 0*h**2 = 0.
-1, 0, 1
Let n be 2/4 - (0 + 119/280). Let q(f) be the third derivative of -1/112*f**8 + 0 + 0*f**3 + 0*f + 0*f**4 - f**2 - n*f**6 + 3/70*f**7 + 1/20*f**5. Factor q(w).
-3*w**2*(w - 1)**3
Let k(x) be the first derivative of -2*x**5/5 + 3*x**4/4 - x**2/2 - 12. Factor k(p).
-p*(p - 1)**2*(2*p + 1)
Let h(z) be the first derivative of z**5/10 - 5*z**4/8 + 4*z**3/3 - z**2 - 11. Factor h(g).
g*(g - 2)**2*(g - 1)/2
Let n = 325/6594 - 4/157. Let q(c) be the second derivative of 0*c**3 + 0*c**2 + n*c**4 + 2*c + 0. Suppose q(y) = 0. What is y?
0
Let d(p) be the first derivative of -3*p**5 + 6*p**4 + 29*p**3 - 30*p**2 - 36*p + 3. Solve d(s) = 0 for s.
-2, -2/5, 1, 3
Determine l, given that -1/3*l**3 - l**2 - 2/3*l + 0 = 0.
-2, -1, 0
Let d = 23 - 19. Let i(z) = z**4 - z**3 + z + 1. Let s(w) = 3*w**4 + 2*w**3 - 7*w**2 - 2*w - 4. Let u(b) = d*i(b) + s(b). Factor u(g).
g*(g - 1)*(g + 1)*(7*g - 2)
Let j = -3 - -3. Let v(t) be the third derivative of -1/1680*t**8 + 1/210*t**7 + j*t + 0 - 1/75*t**6 - 2*t**2 + 0*t**4 + 0*t**3 + 1/75*t**5. Factor v(m).
-m**2*(m - 2)**2*(m - 1)/5
Let b(l) = -l**2 + 10*l + 12. Let x be b(12). Let j be 5/2 - x/8. Suppose -2/3*t**2 + 0 - 2/3*t**j + 0*t - 4/3*t**3 = 0. Calculate t.
-1, 0
Let g = -26 - -55/2. Let y = g + -1/6. Factor 0 + 1/3*q**4 - y*q**3 + 4/3*q**2 + 0*q.
q**2*(q - 2)**2/3
Suppose -7 = -4*d + 21. Suppose -20 = 2*f - d*f. Determine v so that 3*v**4 - 3*v**4 - 2*v**4 - 2 + f*v**2 = 0.
-1, 1
Let j(x) be the second derivative of x**7/14 + 2*x**6/5 + 9*x**5/20 - x**4 - 2*x**3 - 8*x. Factor j(y).
3*y*(y - 1)*(y + 1)*(y + 2)**2
Let w(m) be the first derivative of -m**4/4 + m**2 + m + 3. Let f be w(-1). Solve -1/2*x**2 + 0*x + f = 0 for x.
0
Let z = 1 + 3. Determine i so that -i - i**2 + z + 5*i**2 - 9*i = 0.
1/2, 2
Suppose -2*g + 3 - 5 = 3*z, -g + 2*z + 6 = 0. Factor -2*o**4 - 2*o**4 - 8*o**2 - g*o**5 - 4*o**4 - 2*o**4 - 16*o**3.
-2*o**2*(o + 1)*(o + 2)**2
Let t(j) be the second derivative of -j**7/630 - j**6/360 + j**5/180 + j**4/72 + 3*j**2/2 - 2*j. Let m(n)