- 3/4*o**4 + 3/4*o**2 + 0 + 3/2*o**3 = 0. Calculate o.
-1, 0, 1, 2
Let w(p) be the first derivative of 1/3*p**3 - 3 + 1/6*p**4 + 0*p**2 + p. Let n(c) be the first derivative of w(c). What is z in n(z) = 0?
-1, 0
Let r(p) be the third derivative of p**5/20 + 14*p**2. Find v such that r(v) = 0.
0
Let d be (-22)/(-20) - 84/140. Factor -1/2*g + d*g**3 + 0*g**2 + 1/4*g**4 - 1/4.
(g - 1)*(g + 1)**3/4
Let b(c) be the second derivative of 0 + c + 1/6*c**4 + 0*c**2 + 2/3*c**3. Factor b(h).
2*h*(h + 2)
Let -13/6*m + 1/6*m**3 + 1/6*m**4 - 1 - 7/6*m**2 = 0. Calculate m.
-2, -1, 3
Let c(m) be the second derivative of -3/2*m**2 - 9/10*m**6 - 11/2*m**4 + 0 + 18/5*m**5 + 2*m + 4*m**3. Factor c(p).
-3*(p - 1)**2*(3*p - 1)**2
Let k(b) be the first derivative of 4*b**6/7 - 2*b**5/5 - 19*b**4/14 + 6*b**3/7 + b**2 - 4*b/7 - 43. Find l such that k(l) = 0.
-1, -2/3, 1/4, 1
Let b = 123 + -47. Let q = b - 682/9. Determine w so that 2/9 - 2/9*w + q*w**4 - 4/9*w**2 + 4/9*w**3 - 2/9*w**5 = 0.
-1, 1
Let g be (-3 - 1) + (-77)/(-18). Let o(u) be the second derivative of -1/10*u**5 + g*u**4 - 1/3*u**2 - 1/9*u**3 - u + 0. Factor o(z).
-2*(z - 1)**2*(3*z + 1)/3
Let u be (1 + 1)*2/14. Let f be (2/(-6) - 1)/(1302/(-279)). Solve -2/7*w**2 + 0*w + 0 + f*w**3 - u*w**5 + 2/7*w**4 = 0.
-1, 0, 1
Let 9/7*z**3 + 0 - 9/7*z + 3/7*z**2 - 3/7*z**4 = 0. What is z?
-1, 0, 1, 3
Let k(v) be the second derivative of v**8/3360 - v**7/1680 - v**6/720 + v**5/240 - v**3/6 - 6*v. Let t(i) be the second derivative of k(i). Factor t(a).
a*(a - 1)**2*(a + 1)/2
Let g = 31/231 + 5/33. Let f be ((-16)/7)/(-4)*1. Factor 2/7*m**4 + 0*m**2 - f*m - g + 4/7*m**3.
2*(m - 1)*(m + 1)**3/7
Let o be -3*(50/3)/1. Let b be ((-20)/o)/((-9)/(-5)). Determine d, given that -b*d**2 + 4/9*d - 2/9 = 0.
1
Let p(h) be the first derivative of 2*h**5/25 - 4*h**4/5 + 44*h**3/15 - 24*h**2/5 + 18*h/5 + 23. Find a, given that p(a) = 0.
1, 3
Let g = 12 - 5. Let x be (-2)/g + 22/28. Factor 1/2*j**3 + 1/2*j**2 - 1/2*j - x*j**4 + 0.
-j*(j - 1)**2*(j + 1)/2
Suppose 3*h - 3*q + 15 = 3, 3*h - 2*q + 8 = 0. Let o(z) be the third derivative of -1/84*z**4 + 0 + 1/210*z**5 - z**2 + 0*z + h*z**3. Factor o(m).
2*m*(m - 1)/7
Suppose 0*l = -l. Let t be -3*((-1)/1 + l). Let 4 + 2*j**2 - t - 3*j**2 = 0. What is j?
-1, 1
Let b(t) be the third derivative of t**2 + 1/30*t**5 + 0 + 0*t + 1/12*t**4 - 1/3*t**3 - 1/60*t**6. Factor b(x).
-2*(x - 1)**2*(x + 1)
Suppose 2*s = 4 + 2. Let z be (0 + -2 - -1) + s. Find h, given that 10*h**z + 2*h + 4*h**4 + 2*h**4 + 0*h**4 + 14*h**3 = 0.
-1, -1/3, 0
Suppose 3/2*t**4 + 5*t**2 + 17/2*t**3 + 0 + 0*t = 0. Calculate t.
-5, -2/3, 0
Let w(n) = 3*n**2 - 8*n. Let j be (-4 - (-2 + -1)) + -1. Let t(l) = -3*l**2 + 9*l. Let b(d) = j*t(d) - 3*w(d). Solve b(m) = 0.
0, 2
Let w(s) be the third derivative of -s**8/112 - s**7/35 + s**5/10 + s**4/8 - 2*s**2. What is d in w(d) = 0?
-1, 0, 1
Let x(u) be the first derivative of -3 + u - 1/4*u**2 - 5/6*u**3 - 11/8*u**4 - u**5 - 4/15*u**6. Let v(j) be the first derivative of x(j). Factor v(a).
-(a + 1)**2*(4*a + 1)**2/2
Let s(o) be the first derivative of -o**4/24 + o**3/6 - o**2/4 - o - 4. Let h(u) be the first derivative of s(u). Find r, given that h(r) = 0.
1
Suppose -8*q - q = -27. Let -z**2 + 0*z - 1/2*z**q + 0 = 0. Calculate z.
-2, 0
Factor 1/4*q**2 - 1/2*q + 0.
q*(q - 2)/4
Let j(q) be the second derivative of -1/9*q**3 + 1/36*q**4 + 0 + 1/6*q**2 - 3*q. Factor j(k).
(k - 1)**2/3
Let v(d) = -36*d**3 + 37*d**2 - 4*d - 2. Let z(x) = -288*x**3 + 295*x**2 - 32*x - 15. Let f(h) = 51*v(h) - 6*z(h). Find n such that f(n) = 0.
-1/4, 2/3
Let v(x) = x**2 - 3*x + 4. Let b be v(4). Factor -6*a**4 + 2*a**4 + 8*a**5 - b*a**5 + 14*a**5.
2*a**4*(7*a - 2)
Let o(v) be the second derivative of -1/2*v**3 + 0 + 3/20*v**5 + 3/2*v**2 - 2*v - 1/4*v**4. Factor o(r).
3*(r - 1)**2*(r + 1)
Let o(x) be the third derivative of -81*x**6/320 + 9*x**5/4 - 37*x**4/16 + x**3 + 26*x**2. Find z, given that o(z) = 0.
2/9, 4
Let l(z) be the first derivative of -z**4/12 + z**3/6 - 2*z - 1. Let y(g) be the first derivative of l(g). Factor y(w).
-w*(w - 1)
Let x(d) = -d**2 + d + 2. Let t be x(0). Factor -b**2 - 2*b**2 + 3*b**2 - 3*b**t.
-3*b**2
Suppose 3*i = -2*i. Let a = -1/48 + 35/144. Suppose 2/9*f**4 - 2/9*f**2 + i + a*f - 2/9*f**3 = 0. Calculate f.
-1, 0, 1
Suppose 0 = -3*n + 2*u + 3*u + 3, 0 = 4*n + u - 27. Let q be 3 - 2 - (-3)/n. Factor 1 + q*h**3 + 4*h**2 + 7/2*h.
(h + 1)**2*(3*h + 2)/2
Let z(y) = -y**3 + 2*y**2 + 5*y - 4. Let b be z(3). Let w = 1/47 + 91/141. Determine x so that 1/3*x**5 - w*x**3 - 2/3*x**b + 1/3*x + 1/3 + 1/3*x**4 = 0.
-1, 1
Let a be (2/3)/(3/(-9)). Let h be 0 - (a + -1 - -1). Find n such that -2*n**2 - n**h - 2*n**3 + n**3 + 2*n**2 = 0.
-1, 0
Let s(u) be the third derivative of 1/60*u**5 - 1/210*u**7 - 1/60*u**6 + 1/12*u**4 + 0 + 0*u**3 + 0*u - 2*u**2. Suppose s(r) = 0. Calculate r.
-2, -1, 0, 1
Let x(r) = 2*r**4 + 5*r**3 + 6*r**2 - r - 7. Let f(u) = 9*u**4 + 21*u**3 + 25*u**2 - 3*u - 29. Let p(s) = 6*f(s) - 26*x(s). Let p(a) = 0. Calculate a.
-1, 2
Let v(b) = 3*b + 1. Let c be v(3). Suppose c = p + 4*p. Find h, given that -3*h + 2/3 + 7/3*h**p = 0.
2/7, 1
Let t(m) be the second derivative of 0*m**6 + m + 0 + 1/147*m**7 - 3/70*m**5 + 0*m**2 + 0*m**3 + 1/21*m**4. Factor t(q).
2*q**2*(q - 1)**2*(q + 2)/7
Let t be (0/1)/(1 - (-3)/3). Let z(h) be the first derivative of 1/2*h**4 + 1 + t*h + h**2 - 4/3*h**3. Let z(d) = 0. What is d?
0, 1
Let c be ((-1)/1 - -2)*5. Suppose -4*l - 7 = -c*s, -2*l - s + 5 = -l. Factor 12*h + 7*h**l + 2 - 1 - 5.
(h + 2)*(7*h - 2)
Find s, given that 8 - 4 + 145*s**2 - 21*s - 235*s**3 - 19*s - 49*s**5 + 175*s**4 = 0.
2/7, 1
Let 4*h + h**5 - 3*h + 0*h**3 - 2*h**3 = 0. What is h?
-1, 0, 1
Let c be 0/1 - (-3 + 1). Let q be ((-9)/27)/((-14)/24). Let -2/7 + q*g - 2/7*g**c = 0. Calculate g.
1
Let b = 3 - 1. Let -2*n + 3*n - n**3 - 2*n**4 + 2*n**4 + b + n**4 - 3*n**2 = 0. Calculate n.
-1, 1, 2
Let p be 16/6 - (-4)/(-6). Let h be ((-4)/(-9))/((-64)/(-12) - 5). Suppose 42*i**p + 18*i**4 + 38/3*i + 54*i**3 + h = 0. What is i?
-2, -1/3
Let t(n) = n**3 + 12*n**2 - 14*n - 13. Let u be t(-13). Determine c so that 1/2*c - 1/2*c**2 + u = 0.
0, 1
Let v(i) = -2*i**3 - i. Suppose -9*j = -5*j - 56. Let q(k) = 5*k**3 + k**2 + 3*k. Let o(g) = j*v(g) + 6*q(g). Factor o(z).
2*z*(z + 1)*(z + 2)
Let l(f) be the first derivative of f**6/39 + 6*f**5/65 + f**4/13 - 4*f**3/39 - 3*f**2/13 - 2*f/13 + 8. Factor l(b).
2*(b - 1)*(b + 1)**4/13
Let k(v) = -v**2 - v - 6. Let x = 10 + -6. Let m(f) = -f**2 - 2*f - 7. Let b(o) = x*m(o) - 5*k(o). Factor b(i).
(i - 2)*(i - 1)
Let s(n) be the second derivative of -n**4/24 + n**3/4 - n**2/2 - 12*n. Factor s(l).
-(l - 2)*(l - 1)/2
Let s(q) be the third derivative of -q**8/112 + 3*q**7/70 - q**6/40 - 3*q**5/20 + q**4/4 - 6*q**2. Determine l so that s(l) = 0.
-1, 0, 1, 2
Let s = -19 + 23. Let n(r) be the second derivative of 0 - 8/3*r**3 - s*r**2 - r + 5/6*r**4. Factor n(i).
2*(i - 2)*(5*i + 2)
Suppose 6 - 4 = -3*p - u, -4*p - 4 = 2*u. Suppose p - 3/4*w - 1/2*w**2 + 1/4*w**3 = 0. Calculate w.
-1, 0, 3
Let y be ((-948)/320 + 3)*12. Let d(k) be the second derivative of 3/4*k**4 + 1/10*k**6 - y*k**5 + 0*k**2 - 1/2*k**3 + 0 + 4*k. Find z, given that d(z) = 0.
0, 1
Let a be 7 - 2 - (2 + (-2 - -3)). Solve 1/3 + 1/6*m**a - 1/2*m = 0.
1, 2
Let q(y) be the second derivative of -y**5/20 - y**4/12 + y**3/6 + y**2/2 + 12*y. Determine w so that q(w) = 0.
-1, 1
Factor 1/7*z**4 + 6/7*z**2 - 32/7*z - 32/7 + z**3.
(z - 2)*(z + 1)*(z + 4)**2/7
Let n(w) be the third derivative of -w**6/120 - w**5/30 - w**4/24 + 17*w**2. Let n(t) = 0. What is t?
-1, 0
Let m = 691/462 + 1/231. Factor -m*d**5 + 1/2*d**2 + 7/2*d**4 + 0*d - 5/2*d**3 + 0.
-d**2*(d - 1)**2*(3*d - 1)/2
Let z(m) = 2*m + 3*m - 17 - 2*m + 14*m**2. Let c(t) = 5*t**2 + t - 6. Let s(p) = 17*c(p) - 6*z(p). Determine x, given that s(x) = 0.
0, 1
Let q(t) = -5*t**2 + 27*t**3 + 11*t**4 - 12 + 9*t**4 - 7*t**2 + 7*t**4. Let f(h) = 11*h**4 + 11*h**3 - 5*h**2 - 5. Let u(w) = 12*f(w) - 5*q(w). Factor u(a).
-3*a**3*(a + 1)
Let u(v) = -15*v**3 + 19*v**2 - 8. Let g(d) = -7*d**3 + 9*d**2 - 4. Let w(o) = 13*g(o) - 6*u(o). Factor w(l).
-(l - 2)**2*(l + 1)
Let s(v) be the second derivative of -v**4/48 + v**2/8 + 6*v. Solve s(k) = 0 for k.
-1, 1
Suppo