*3/7 - 4*u**2 - 2. Suppose d(j) = 0. What is j?
-6, -1
Let l(v) be the second derivative of -v**7/42 - v**6/30 + v**5/20 + v**4/12 - 5*v. Find q such that l(q) = 0.
-1, 0, 1
Let t = 17 - 11. Let o be 8/t + (-4)/(-6). Determine i so that 4/7*i**o - 2/7*i - 4/7*i**4 + 0*i**3 + 0 + 2/7*i**5 = 0.
-1, 0, 1
Let w(d) be the third derivative of 1/200*d**6 + 1/8*d**4 + 0 + 0*d - 1/25*d**5 + 3*d**2 - 1/5*d**3. Factor w(y).
3*(y - 2)*(y - 1)**2/5
Let z = 80411/3282 - 1/1641. Let n = -23 + z. Factor -n*t**3 + t**2 + 0 + 1/2*t.
-t*(t - 1)*(3*t + 1)/2
Let q(f) be the first derivative of 2*f**5/5 - f**4/2 - 2*f**3/3 + f**2 + 2. Determine y so that q(y) = 0.
-1, 0, 1
Factor 1/3*y + 0 - 1/3*y**3 + 0*y**2.
-y*(y - 1)*(y + 1)/3
Let f be -1 + 1 - 4/(-14). Suppose -x + 10 = 2*u - 1, -4*x + 4*u = 4. Find r, given that 2/7 + 2/7*r**x - 2/7*r - f*r**2 = 0.
-1, 1
Let f be 4 + (-4)/(7 + -3). Factor 1/5*h**f + 0 - 2/5*h - 1/5*h**2.
h*(h - 2)*(h + 1)/5
Let d = -23 + 24. Let n(q) be the first derivative of 2/9*q**4 + 4/9*q**2 - 2/45*q**5 - 2/9*q + d - 4/9*q**3. Factor n(h).
-2*(h - 1)**4/9
Let k = 24 + -14. Suppose k = 6*l - l. Factor -1/2 - 1/2*u**l + u.
-(u - 1)**2/2
Let r(k) be the third derivative of -k**5/390 + k**3/39 - 3*k**2. Factor r(p).
-2*(p - 1)*(p + 1)/13
Let a(w) = w**3 - 10*w**2 + 10*w - 5. Let q be a(9). Suppose -4 = -4*d + q. Factor 0*m + 0 + 0*m**3 + 2/3*m**d - 2/3*m**4.
-2*m**2*(m - 1)*(m + 1)/3
Suppose 2*g - 3*i + 5 = 0, -2*i + 8 = g - 0*g. Solve -23*a**2 - 15*a**3 - a**5 + 2*a**4 + 23*a**g + 5*a**4 + 9*a**2 = 0 for a.
0, 1, 3
Let x(h) be the first derivative of 0*h - 4 - 1/2*h**2 + 1/4*h**4 + 0*h**3. Factor x(m).
m*(m - 1)*(m + 1)
Suppose -6 = -k - 3. Suppose k*o**5 + 4 + 9*o + 13*o**2 + 2 - 19*o**2 - 12*o**3 = 0. What is o?
-1, 1, 2
Solve -1/10*u**2 - 1/5*u + 3/10 = 0 for u.
-3, 1
Let i(t) be the second derivative of -2*t + 1/2*t**2 + 2/15*t**6 - 1/2*t**3 - 5/12*t**4 + 3/20*t**5 + 0. Suppose i(s) = 0. Calculate s.
-1, 1/4, 1
Let o(w) be the first derivative of -w**8/6720 - w**7/3360 - 2*w**3 - 6. Let v(d) be the third derivative of o(d). Factor v(g).
-g**3*(g + 1)/4
Let o(a) be the second derivative of -1/6*a**3 - 1/42*a**7 + 0*a**6 + 0*a**4 + 1/10*a**5 - 3*a + 0 + 0*a**2. Factor o(g).
-g*(g - 1)**2*(g + 1)**2
Let v(i) be the third derivative of i**9/3024 - i**7/420 + i**5/120 + i**3 + 7*i**2. Let l(b) be the first derivative of v(b). Factor l(w).
w*(w - 1)**2*(w + 1)**2
Let i be (4/36)/(1 + 87/9). Let h(u) be the third derivative of 0*u + u**2 + 0 + 1/480*u**6 + 1/240*u**5 - i*u**4 - 1/24*u**3. Let h(l) = 0. Calculate l.
-1, 1
Let c(d) be the second derivative of 0 + 0*d**2 - 11/30*d**4 + 2/15*d**3 - d + 1/35*d**7 + 19/50*d**5 - 13/75*d**6. Suppose c(l) = 0. Calculate l.
0, 1/3, 1, 2
Let a be 2*(-5)/(-2)*1. Suppose 0 = 5*i + 2*s - 28, 8 = 3*i + 4*s - a*s. Factor -2*v**i - 3*v**2 - 2*v**3 - 2*v**2 + 9*v**2.
-2*v**2*(v - 1)*(v + 2)
Factor 87*k**3 - k**2 - 77*k**3 - 5*k - 5*k**5 + k**2.
-5*k*(k - 1)**2*(k + 1)**2
Let q = -7 + 9. Factor -4*a**3 + a**4 + q*a**2 - 2*a**3 + 9*a**3.
a**2*(a + 1)*(a + 2)
Suppose p - 2 = -1. Let c(o) be the first derivative of -1/9*o**2 - 4/9*o + 2/27*o**3 + p. Factor c(i).
2*(i - 2)*(i + 1)/9
Let -28/9*k**3 + 62/9*k**2 + 62/9*k + 4/3 = 0. What is k?
-1/2, -2/7, 3
Let u(h) be the first derivative of -2*h**3/3 + h**2 + 1. Let u(z) = 0. Calculate z.
0, 1
Let y be 34/10 - (-10)/(-25). Let k be y + (1 - 3)/2. Factor f**k - 4 + 4.
f**2
Let l = -3/5 + 19/15. Suppose 1/3*s**2 + 0 + l*s = 0. What is s?
-2, 0
Let n(v) be the third derivative of -v**5/420 - v**4/14 - 6*v**3/7 + 12*v**2. Factor n(l).
-(l + 6)**2/7
Let n = 11 + -19. Let s = -6 - n. Suppose -2/9 + 0*v + 2/9*v**s = 0. Calculate v.
-1, 1
Let u(h) be the first derivative of h**7/105 - h**6/20 + h**5/10 - h**4/12 + 3*h**2/2 + 3. Let l(w) be the second derivative of u(w). Factor l(q).
2*q*(q - 1)**3
What is t in 15*t - 15 + 13 - 3*t**2 - 16 = 0?
2, 3
Let u = -79 - -81. Let f(a) be the third derivative of -a**u - 1/144*a**4 + 0 + 1/720*a**6 + 0*a**3 + 0*a + 0*a**5. Determine h so that f(h) = 0.
-1, 0, 1
Let o be 36/7 - (25 + -10 - 11). Factor -o*k**5 + 2/7*k**3 + 0*k + 6/7*k**4 + 0 + 0*k**2.
-2*k**3*(k - 1)*(4*k + 1)/7
Let l(a) = -a**2 - 3*a + 3. Let x be l(-3). Determine o, given that 0*o - 4/3*o**x + 2/3*o**2 + 0 = 0.
0, 1/2
Suppose 38 = 5*s - 17. Let z = 13 - s. Solve -1/2*h**3 + 1/2*h - 1/2 + 1/2*h**z = 0.
-1, 1
Solve -2*u**2 + 21*u + u**2 - 4*u**2 - 6*u = 0 for u.
0, 3
Let p = -12 + 14. Suppose f = -0*f + 5. Factor u**p + u**3 - 4*u + f*u + u**2.
u*(u + 1)**2
Factor -3*p - 17*p**2 + 10*p + 14*p**2 - 4*p.
-3*p*(p - 1)
Let b(t) be the third derivative of -t**5/330 + t**4/33 - 4*t**3/33 + 22*t**2. Factor b(g).
-2*(g - 2)**2/11
Let w be (-1 + -1)/(-2 + 1). Solve -2*r**4 - 6*r**5 + 5*r**5 + 3*r**2 - r**w + r = 0.
-1, 0, 1
Let z(d) = 2 + d + d - 11. Let r be z(6). Factor -2*j**r - 1 + 1 + 5*j + j + 4.
-2*(j - 2)*(j + 1)**2
Let j(t) be the first derivative of -3*t**4/20 - 2*t**3/5 + 3*t**2/10 + 6*t/5 + 3. Let j(z) = 0. What is z?
-2, -1, 1
Let -2/7 + 0*j**3 - 2/7*j**4 + 0*j + 4/7*j**2 = 0. What is j?
-1, 1
Determine r, given that 0 + 3/7*r**3 + 0*r + 6/7*r**2 = 0.
-2, 0
Factor -2/17*p**2 + 0 - 2/17*p + 2/17*p**4 + 2/17*p**3.
2*p*(p - 1)*(p + 1)**2/17
Let i(k) be the first derivative of 3*k**5/5 - 3*k**4/4 - k**3 + 3*k**2/2 - 2. Factor i(o).
3*o*(o - 1)**2*(o + 1)
Let r(i) be the third derivative of -i**8/1008 - i**7/315 + i**6/90 + i**5/90 - i**4/24 + 28*i**2. Find j, given that r(j) = 0.
-3, -1, 0, 1
Let r = 11 - 6. Suppose -2 = -5*m + 8. Find n, given that n**m + r*n**2 - 5*n**2 = 0.
0
Suppose 4*y + 2 = -3*v + 30, -v = 0. Factor -3 + y + 0*x + x**2 + 4*x.
(x + 2)**2
Suppose u - 5*d + 28 = 0, -4*u - 2*d - 80 = -6*d. Let b = u - -75/4. Factor -b*h**2 + 3*h - 3.
-3*(h - 2)**2/4
Let j(q) be the second derivative of -q**7/120 + q**6/240 + 7*q**5/240 - q**4/48 - 3*q**2/2 + 2*q. Let b(l) be the first derivative of j(l). Factor b(a).
-a*(a - 1)*(a + 1)*(7*a - 2)/4
Let l(d) = d**3 + 7*d**2 + 8*d + 4. Let a be l(-5). Suppose a - 2 = 4*b. Let -2/3*y - 2/3*y**2 + 2/3*y**b + 2/3 = 0. What is y?
-1, 1
Let h(k) = 24*k**2 + 22*k - 8. Let g(y) = -y**2 - y. Let m(t) = -44*g(t) - 2*h(t). Find l, given that m(l) = 0.
-2, 2
Let a be (8/(-40))/(-3 - 2*-1). Factor a - 1/5*z**2 + 0*z.
-(z - 1)*(z + 1)/5
Let c be (1 - 2)/((-6)/12). Let m be 2/2 - (-3 - -2). Solve -6*p**2 - p**4 + 7*p**4 - 3*p**5 - m*p**c + p**5 = 0.
-1, 0, 2
Let p(x) be the second derivative of 5*x**7/42 - x**6/3 - x**5/2 + 5*x**4/3 + 5*x**3/6 - 5*x**2 - 6*x. Find f, given that p(f) = 0.
-1, 1, 2
Suppose 30 = -3*b - 3*f, 2*f + 6 = -f. Let u(q) = -q - 6. Let j be u(b). Factor -2 - s**j + 6*s**2 - 3*s**2.
2*(s - 1)*(s + 1)
Suppose -24*j = -34*j + 20. Suppose 27/4 + j*n**3 - 9/2*n**2 + 0*n - 1/4*n**4 = 0. What is n?
-1, 3
Let a(n) be the second derivative of n**4/54 + 2*n**3/27 + 5*n. Factor a(r).
2*r*(r + 2)/9
Let k = -11 + 8. Let l = -3 - k. Find h such that 2/3*h**3 + l + 0*h + 2/3*h**2 = 0.
-1, 0
Factor -12/7*d - 18/7 - 2/7*d**2.
-2*(d + 3)**2/7
Suppose 5*i = 2*m + 5 - 1, 0 = 4*i + 4*m - 20. Factor 202*j**3 + 10*j**i - 204*j**3 - 10*j - 2*j**2 + 4.
-2*(j - 2)*(j - 1)**2
Let z be 1/(9/(-96))*3. Let o = 161/5 + z. Factor 2/5*d + o + 1/5*d**2.
(d + 1)**2/5
Let g be 4*((-35)/(-4))/7. Let t(b) be the first derivative of 1/10*b**4 + 0*b**2 + 2/25*b**g + 0*b**3 + 0*b + 2. Determine z so that t(z) = 0.
-1, 0
Let m(y) be the second derivative of 0*y**4 + 0 - y + 0*y**2 + 3/20*y**5 + 0*y**3. Factor m(z).
3*z**3
Let v(q) = 3*q**4 + 4*q**3 + 11*q**2 + 3*q + 7. Let m(h) = -h**4 - 2*h**3 - 5*h**2 - h - 3. Let r(p) = 14*m(p) + 6*v(p). Determine c so that r(c) = 0.
-1, 0, 1
Factor -3/2*h + 0 - 21/4*h**2 + 3*h**3.
3*h*(h - 2)*(4*h + 1)/4
Let a = 25 + -23. Let 0 + 1/2*j**a + 9/4*j**4 + 0*j + 11/4*j**3 = 0. What is j?
-1, -2/9, 0
Let f(q) be the first derivative of -3 + 2/35*q**5 + 1/14*q**4 + 0*q - 1/7*q**2 - 2/21*q**3. What is r in f(r) = 0?
-1, 0, 1
Let t(f) = 1. Let p(d) = 8*d**2 - 2*d - 2. Let q(g) = -2*p(g) - 4*t(g). Find m, given that q(m) = 0.
0, 1/4
Let c(u) be the second derivative of u**4/48 + u**3/24 - u**2/4 + 13*u. Factor c(i).
(i - 1)*(i + 2)/4
Suppose -2*a + 4 - 14 = -2*y, -13 = y + 5*a. Factor -2/5*q + 2/5*q**y - 2/5*q**4 + 0 + 2/5