t derivative of -2*q**5/65 + 3*q**4/26 + 4*q**3/39 - 12*q**2/13 + 16*q/13 + 11. Find j such that n(j) = 0.
-2, 1, 2
Let p = 4 - 3. Find z such that -p + 3 - 2*z + 2*z**3 - 2*z**2 + 0 + 0*z**3 = 0.
-1, 1
Let h(o) be the first derivative of -5*o**4/4 - 10*o**3 - 25*o**2/2 + 1. Factor h(s).
-5*s*(s + 1)*(s + 5)
Let c(s) be the second derivative of 1/36*s**3 + 0 - 1/12*s**2 + 1/72*s**4 - 1/120*s**5 - 4*s. Factor c(z).
-(z - 1)**2*(z + 1)/6
Let c(l) = -2*l**2 + 2*l. Let v(q) = 3*q**2 - 3*q. Suppose 16 = -4*m, k - 2*m + 3*m + 9 = 0. Let i(s) = k*v(s) - 8*c(s). Factor i(a).
a*(a - 1)
Let f(z) be the third derivative of -z**7/70 - z**6/20 + z**4/4 + z**3/2 - 6*z**2. Solve f(x) = 0.
-1, 1
Let r(d) = 3*d**2 + d - 1. Let p(q) = -8*q**2 + q + 2. Let i(y) = 9*y**2 - 2*y - 2. Let o(l) = -2*i(l) - 3*p(l). Let z(f) = 3*o(f) - 5*r(f). Factor z(u).
(u - 1)*(3*u + 1)
Let p be (((-72)/45)/4)/(-2). Factor 1/5*i + 0 + p*i**2.
i*(i + 1)/5
Let o be (5/30)/((-2)/(-8)). Let 2*m - o*m**2 - 4/3 = 0. Calculate m.
1, 2
Let 0*v - 6*v + 13*v**2 - 8*v**2 - 8*v**2 = 0. Calculate v.
-2, 0
Let v(o) be the third derivative of o**7/1260 - o**3/6 + o**2. Let y(s) be the first derivative of v(s). Find u, given that y(u) = 0.
0
Let q be (-4)/16 - 86/(-88). Let r = 310/33 - q. Solve 8*y - 2/3*y**4 - r*y**2 + 4*y**3 - 8/3 = 0.
1, 2
Let u(g) be the third derivative of 2/735*g**7 + 5*g**2 - 2/21*g**3 + 0*g**5 + 1/21*g**4 + 0 - 1/105*g**6 + 0*g. Determine k, given that u(k) = 0.
-1, 1
Let q = 4 + 5. Factor -3*l**4 - 18 + 132*l - 194*l**2 - 11*l**4 - q*l**4 - 9*l**4 - 176*l**3.
-2*(l + 3)**2*(4*l - 1)**2
Suppose 2*t - 15 - 1 = 0. Suppose t = v + 3*v. Determine n so that 2*n**4 - n + n + 6*n**v + 6*n**3 + 2*n = 0.
-1, 0
Let z(p) be the third derivative of 1/6*p**3 + 0 - 1/180*p**5 + 0*p + 2*p**2 - 1/1080*p**6 - 1/72*p**4. Let l(t) be the first derivative of z(t). Factor l(d).
-(d + 1)**2/3
Let o(u) be the first derivative of -2*u**3/21 - 4*u**2/7 + 15. Suppose o(x) = 0. Calculate x.
-4, 0
Factor 2*o**2 - 8/3*o - 4/9*o**3 + 8/9.
-2*(o - 2)**2*(2*o - 1)/9
Let z(x) = -5*x**2 + 9*x - 4. Let j(f) = 11*f**2 - 19*f + 8. Let t(m) = 6*j(m) + 13*z(m). Determine q so that t(q) = 0.
-4, 1
Let s(k) be the first derivative of -k**3/18 - 7*k**2/6 - 49*k/6 - 25. Find d such that s(d) = 0.
-7
Factor -21/4*z**4 - 4*z**3 - 9/4*z**5 - z**2 + 0*z + 0.
-z**2*(z + 1)*(3*z + 2)**2/4
Suppose 5*b - 1 - 4*b + 2 + 3*b**2 - 4*b - b**3 = 0. What is b?
1
Let q(d) be the second derivative of -d**5/110 + 5*d**4/66 - 8*d**3/33 + 4*d**2/11 + 8*d. Determine a so that q(a) = 0.
1, 2
Let y(d) be the first derivative of d**6/27 - 4*d**5/45 - 2*d**4/9 + 4*d**3/27 + d**2/3 - 2. Suppose y(u) = 0. What is u?
-1, 0, 1, 3
Let y(n) be the third derivative of -n**10/75600 - n**9/15120 - n**8/10080 + n**5/20 - n**2. Let o(t) be the third derivative of y(t). Factor o(v).
-2*v**2*(v + 1)**2
Let l be 3 - 22/7 - 193/(-77). Factor 4/11 + 8/11*b**3 + 2*b + l*b**2.
2*(b + 1)*(b + 2)*(4*b + 1)/11
Let a(k) = k + 6. Let g be a(-4). Let s(p) = -1 - 3*p**2 + 1 + 4 - g*p. Let o(w) = -7*w**2 - 4*w + 9. Let j(b) = -4*o(b) + 9*s(b). Factor j(m).
m*(m - 2)
Let j(h) be the third derivative of -h**6/15 + h**5/6 - h**4/4 - h**3 - 4*h**2. Let b(x) = -7*x**3 + 9*x**2 - 5*x - 5. Let l(c) = 6*b(c) - 5*j(c). Factor l(v).
-2*v**2*(v - 2)
Let z = 32554/25 - 1302. Let b(u) be the first derivative of -2 + 9/20*u**4 + 0*u - 2/5*u**3 + 1/10*u**2 - z*u**5. Solve b(k) = 0 for k.
0, 1/4, 1
Suppose 3*c + 4*l = 6*l + 18, -3*c = -l - 18. Suppose -3*w**4 + 0*w**4 - 3*w**4 + 2*w**5 - 2*w**2 + c*w**3 = 0. What is w?
0, 1
Let v be 7/2 + (-1)/2. Factor 0*x**2 - 2*x + 2 - x**v + 3*x + x**2 - 3.
-(x - 1)**2*(x + 1)
Let d(o) be the third derivative of -o**7/735 - o**6/420 + o**2. Factor d(p).
-2*p**3*(p + 1)/7
Let m(p) be the first derivative of 0*p - 1/16*p**6 - 3/16*p**4 + 0*p**2 + 8 + 0*p**3 - 9/40*p**5. Solve m(o) = 0 for o.
-2, -1, 0
Suppose -3*f + 2*t + 14 = 0, 2*f + 3*t = 2 - 10. Let m be 6/3 - f - 0. Find j, given that m - 1/3*j**2 + 1/3*j = 0.
0, 1
Let c(q) be the third derivative of -1/360*q**6 + 0*q**3 - 5*q**2 + 0*q + 1/90*q**5 + 0 + 0*q**4. Solve c(s) = 0.
0, 2
Let k(b) = 4*b**2 - 3*b + 7. Let r(p) = p**2 - p + 0*p**2 + 3 - 1. Let n(l) = 2*k(l) - 7*r(l). Determine q so that n(q) = 0.
-1, 0
Let q(w) = 3*w**2 - 2*w + 1. Let n be q(2). Let r be -21*1*(-3)/n. Factor -5*t**2 - r*t + 13*t + 6*t - 4.
-(t - 2)*(5*t - 2)
Suppose -2*r - 3*r - 10 = 0. Let w be (12/r)/(4/(-2)). Suppose -9*b**w + 3*b**2 + 3*b**2 + 0*b - b = 0. What is b?
0, 1/3
Let q(o) be the third derivative of o**6/960 - 7*o**5/480 + 11*o**4/192 - 5*o**3/48 - 21*o**2. Let q(t) = 0. Calculate t.
1, 5
Let i = 19 + -16. Let t be 8/4*i - 2. Suppose 0 + 3*v**2 + 7/3*v**5 - 5/3*v**3 - 3*v**t - 2/3*v = 0. What is v?
-1, 0, 2/7, 1
Let s(t) be the first derivative of -2 - 5/9*t**3 + 0*t + 5/3*t**2. Factor s(k).
-5*k*(k - 2)/3
Let c(o) be the first derivative of -o**3/27 - 4*o**2/9 + 6. Determine d so that c(d) = 0.
-8, 0
Let 3*r**3 - 2*r**3 + r**3 + 170*r - 8*r**2 - 180*r = 0. What is r?
-1, 0, 5
Let q(i) be the second derivative of i - 1/900*i**6 - 1/60*i**4 - 1/150*i**5 + 0*i**2 + 0 - 1/3*i**3. Let j(w) be the second derivative of q(w). Factor j(c).
-2*(c + 1)**2/5
Suppose 0 - 2 = -c. Suppose -j = -c*j + 4. Let 8*o + 10*o**3 - o**3 - 4*o**j + 6*o**4 + 16*o**2 + o**3 = 0. Calculate o.
-2, -1, 0
Let l(w) be the third derivative of -1/4*w**4 - w**2 - 1/2*w**3 - 1/20*w**5 + 0*w + 0. Find u such that l(u) = 0.
-1
Let k be (-651)/(-270) + (-6)/(-4). Let b = k + -28/9. Let -b*r**2 + 2/5*r**4 + 0*r**3 + 2/5 + 0*r = 0. What is r?
-1, 1
Let g(p) be the third derivative of -p**6/1260 - p**5/420 - p**3/3 + 3*p**2. Let i(q) be the first derivative of g(q). Factor i(d).
-2*d*(d + 1)/7
Let o be 9/15*(-4)/(-12). Let k(i) be the first derivative of 1/10*i**2 - 4 + o*i - 2/15*i**3 + 1/30*i**6 - 1/10*i**4 + 1/25*i**5. Factor k(m).
(m - 1)**2*(m + 1)**3/5
Let j be (33/(-6) - -3)*2/(-120). Let o(a) be the second derivative of j*a**4 + 1/24*a**3 - 3*a + 0*a**2 + 1/80*a**5 + 0. Factor o(b).
b*(b + 1)**2/4
Let v(y) be the first derivative of -2*y**5/35 - y**4/7 + 2*y**3/21 + 2*y**2/7 - 17. Factor v(d).
-2*d*(d - 1)*(d + 1)*(d + 2)/7
Let a(i) = 3*i**3 - i + 1. Let x be a(1). Determine v, given that -v**2 - x*v**2 + 4*v - v**2 + v**2 = 0.
0, 1
Let u(g) = g**2 - g + 1. Let y(c) = 5*c**2 - 5*c + 10. Let s(p) = 6*u(p) - y(p). Let t be s(3). Suppose m + 0*m**2 - 2*m**2 + 0*m**t = 0. What is m?
0, 1/2
Suppose 11*b = 7*b + 16. Let -3 + x + 6*x**3 + 3*x**b - 7*x - 5 + 5 = 0. Calculate x.
-1, 1
Let u = 12 - -25. Let q = 37 - u. Determine c so that 2/7*c**2 + 0*c**3 - 2/7*c**4 + q + 0*c = 0.
-1, 0, 1
Let g be 2/(-45)*6/(-56). Let v(y) be the third derivative of 1/42*y**4 + 0*y + 0 + g*y**5 + 0*y**3 - y**2. Factor v(t).
2*t*(t + 2)/7
Let 4/5*g**3 + 0*g**2 - 6/5*g**5 + 0 + 0*g + 2*g**4 = 0. Calculate g.
-1/3, 0, 2
Let 0 - 2/9*w**2 + 2/9*w**3 + 2/9*w**4 - 2/9*w = 0. Calculate w.
-1, 0, 1
Let t(b) be the second derivative of -b**9/9072 + b**7/2520 - b**3/2 - b. Let u(c) be the second derivative of t(c). Factor u(d).
-d**3*(d - 1)*(d + 1)/3
Let d(m) = -15*m**4 - 720*m**3 - 3024*m**2 - 2385*m - 33. Let y(t) = -t**4 - 45*t**3 - 189*t**2 - 149*t - 2. Let p(f) = 2*d(f) - 33*y(f). Factor p(u).
3*u*(u + 1)*(u + 7)**2
Solve 8/5 + 2/5*a**4 - 6/5*a**2 - 4/5*a**3 + 8/5*a = 0 for a.
-1, 2
Let x(i) be the first derivative of 4*i**3/15 - 11*i**2/10 - 3*i/5 - 31. What is c in x(c) = 0?
-1/4, 3
Let z(n) be the second derivative of -2*n**6/15 - 3*n**5/5 - n**4 - 2*n**3/3 + n. What is h in z(h) = 0?
-1, 0
Suppose 0 = -12*j + 2*j. Suppose j*a - 2/3*a**4 + 2/3*a**2 - 1/3*a**5 + 0 + 1/3*a**3 = 0. What is a?
-2, -1, 0, 1
Let t(m) be the second derivative of -10*m**7/147 - 3*m**6/35 + 3*m**5/70 + m**4/21 - 14*m. Find r such that t(r) = 0.
-1, -2/5, 0, 1/2
Let m(f) be the second derivative of f**7/1260 + f**4/12 - f. Let j(r) be the third derivative of m(r). Factor j(y).
2*y**2
Let v(i) be the third derivative of 0*i**5 + i**2 + 0 + 0*i - 2/9*i**3 - 1/180*i**6 + 1/12*i**4. Find u, given that v(u) = 0.
-2, 1
What is m in -1/2*m**3 + m + 0 + 1/2*m**2 = 0?
-1, 0, 2
Let t be 2*(-1)/6 + 1/2. Let r(z) be the first derivative of -t*z**4 + 0*z**2 - 1/9*z**6 + 0*z + 4/15*z**5 + 0*z**3