hat is o?
1/2, 2
Let 27*s**4 - 48*s**3 + 21*s**4 - 24*s**4 + 0*s**5 + 40*s**2 - 4*s**5 - 12*s = 0. Calculate s.
0, 1, 3
Let n(q) be the second derivative of q**4/42 - 4*q**3/21 + 3*q**2/7 + 30*q. Factor n(k).
2*(k - 3)*(k - 1)/7
Let h be (-112)/(-52) + (-4)/26. Let d(m) = m**2 - 7*m - 3. Let j(x) = 4*x + 2. Let p(r) = h*d(r) + 5*j(r). Factor p(u).
2*(u + 1)*(u + 2)
Suppose 0*a + 8 = 4*a. Find p, given that -3*p**2 - 5*p**a + 5*p**2 + 12 = 0.
-2, 2
Let t(b) be the second derivative of b**5/120 - b**3/12 - b**2 + b. Let u(p) be the first derivative of t(p). Factor u(a).
(a - 1)*(a + 1)/2
Let n(a) be the second derivative of a**4/4 - 3*a**2/2 - a. Let n(v) = 0. What is v?
-1, 1
Let m be 2/(-13) - 357/(-39). Let -1 - 7*n**2 + m*n**2 - 1 = 0. Calculate n.
-1, 1
Let w(g) be the second derivative of 0 + 4*g - 1/12*g**6 + 0*g**2 + 1/84*g**7 + 9/40*g**5 + 1/6*g**3 - 7/24*g**4. Find b such that w(b) = 0.
0, 1, 2
Let m(y) be the first derivative of y**5 - 5*y**4/4 - 2. Factor m(q).
5*q**3*(q - 1)
Let t(b) be the first derivative of 1/7*b**3 + 2*b + 2 + 1/42*b**4 + 2/7*b**2. Let r(m) be the first derivative of t(m). Factor r(u).
2*(u + 1)*(u + 2)/7
Let p(c) be the first derivative of -c**6/33 + 4*c**5/55 + 3*c**4/22 - 8*c**3/33 - 4*c**2/11 + 4. Determine g, given that p(g) = 0.
-1, 0, 2
Let l(s) be the second derivative of -s**6/420 + s**4/84 + s**2 + s. Let f(k) be the first derivative of l(k). What is i in f(i) = 0?
-1, 0, 1
Let y(a) = -a**2 + a + 8. Let p be y(0). Let k(x) = x**2 - x - 4. Let o be k(3). Determine g so that p - g**o - g**3 - 8 = 0.
-1, 0
Let t be 3*3/(18 + 0)*1. Factor 1/2*a**3 - 1/2*a**2 + t - 1/2*a.
(a - 1)**2*(a + 1)/2
Factor 4*o - 1/2*o**2 - 8.
-(o - 4)**2/2
Let u(b) be the second derivative of -3*b**7/14 - b**6/10 + 9*b**5/20 + b**4/4 - 22*b. Solve u(g) = 0 for g.
-1, -1/3, 0, 1
Let y(v) be the third derivative of -v**7/2520 + v**6/360 - v**5/180 + v**3/2 - 2*v**2. Let z(w) be the first derivative of y(w). Factor z(q).
-q*(q - 2)*(q - 1)/3
Suppose 4*f - 7*f = -6. Let c be 9/(-5) + (-12)/(-4). Determine g so that -c*g**f + 6/5*g - 2/5 + 2/5*g**3 = 0.
1
Let f be 21/2 - 12/8. Let 2*j + f*j**2 + 2*j + j**2 = 0. What is j?
-2/5, 0
Factor 3*q**3 + 16*q**2 - 4*q + 9*q**3 - 18*q**3 - 10*q**3.
-4*q*(2*q - 1)**2
Factor o**2 + 0*o**2 - 3*o**2 + 2*o.
-2*o*(o - 1)
Let r(h) be the third derivative of -h**8/168 + 2*h**7/105 + h**6/30 - 2*h**5/15 - h**4/12 + 2*h**3/3 + 7*h**2. What is s in r(s) = 0?
-1, 1, 2
Suppose -9 = 4*b + 3*s, -4*b = -0*b - s - 3. Factor -2/5*a**4 + 2/5*a**3 + b*a**2 + 0*a + 0.
-2*a**3*(a - 1)/5
Suppose -3*f + 6 = 2*k - 2*f, 2*k + 4*f = 0. Suppose 3*s = -4*h - 3 + 1, -k*s + 3*h + 14 = 0. Find m, given that 1/2 + 3/2*m**s + 2*m = 0.
-1, -1/3
Let b be (-2)/(-4)*(7 + -6). Factor b*a**2 + 0*a + 0.
a**2/2
Let b(q) be the first derivative of -q**8/1176 + 2*q**7/735 - q**6/420 + q**2/2 + 3. Let w(i) be the second derivative of b(i). Factor w(s).
-2*s**3*(s - 1)**2/7
Suppose -2*k = 2*r + 3*k - 23, 0 = r + 3*k - 13. Let t(j) be the first derivative of -2 + 0*j - 1/6*j**6 + 1/3*j**3 + 1/4*j**r - 1/5*j**5 + 0*j**2. Factor t(m).
-m**2*(m - 1)*(m + 1)**2
Let r(s) be the second derivative of -s**4/16 + s**3/2 - 9*s**2/8 + s. Let r(f) = 0. Calculate f.
1, 3
Let l = 83 + -579/7. Factor l + 2/7*h**2 + 4/7*h.
2*(h + 1)**2/7
Let x be -2 - (1 + -2 - 4). Solve 18*l**2 - 11*l**x - 10*l**3 + 6*l**4 - 4*l + 4*l**4 - 3*l**3 = 0.
0, 2/5, 1
Suppose 2 + 2*z**2 + 2*z - z**2 - 6 + z = 0. What is z?
-4, 1
Let b be (-6 - -8)/(-3 + -1)*-4. Let 0 - 1/4*j**b - 1/4*j**3 + 0*j = 0. What is j?
-1, 0
Let z(t) be the second derivative of 2*t**6/15 - 3*t**5/5 + 13*t**4/12 - t**3 + t**2/2 - 29*t. Find a, given that z(a) = 0.
1/2, 1
Let j be 7*(-3)/(3/1). Let q be 2/j - (-32)/14. Solve -2*m**2 + 4*m**3 - m**4 + 3*m**4 - q*m**5 - 2*m**3 = 0 for m.
-1, 0, 1
Factor -6*i**3 - 4*i + 3*i + 3*i**5 + 4*i.
3*i*(i - 1)**2*(i + 1)**2
What is k in 6/5*k + 0*k**2 - 2/5*k**3 - 4/5 = 0?
-2, 1
Let m be (59/295)/(1/4). Factor 2/5*r + 0 - m*r**3 + 0*r**4 + 0*r**2 + 2/5*r**5.
2*r*(r - 1)**2*(r + 1)**2/5
Let d be 38/90 + 3/(-15). Let m(g) be the second derivative of -d*g**3 + g - 1/18*g**4 + 0*g**2 + 0. Factor m(u).
-2*u*(u + 2)/3
Factor 19 - 11 - 3*m**2 + m**4 - 8 + 2*m.
m*(m - 1)**2*(m + 2)
Let v = 32 + -28. What is u in 9*u**3 + 2*u**4 + u**v + 3*u**2 - 16*u**3 + u**3 = 0?
0, 1
Let x(w) be the first derivative of w**3/12 + 3*w**2/4 + 9*w/4 + 4. Find v, given that x(v) = 0.
-3
Let r(i) be the first derivative of -4*i**5/5 - 5*i**4 - 16*i**3/3 + 5. Let r(c) = 0. What is c?
-4, -1, 0
Let w(k) = k**2 - 5*k - 4. Let p be w(6). Let a be (-5)/2*(-14)/7. Determine c so that -5*c + a*c - 2 + p*c**2 = 0.
-1, 1
Let n(r) = r**2 - 5*r - 1. Let q be n(6). Find w such that -4 + q + 5*w**2 - 4*w - w**2 = 0.
1/2
Factor -97/3*f**3 - 24*f**4 + 0 - 4/3*f - 16/3*f**5 - 12*f**2.
-f*(f + 2)**2*(4*f + 1)**2/3
Let a = 9 - 4. Suppose -4*x + 6*x - 4*q + 8 = 0, 0 = 4*x - q - a. Solve 2*o**3 + 0*o**2 - o - 5*o**3 - 3*o**x - o**4 = 0 for o.
-1, 0
Let z = 35 - 19. Let f be z/10 + (2 - 2). What is a in -2/5*a + 2*a**2 + 0 + f*a**4 - 16/5*a**3 = 0?
0, 1/2, 1
Let d(h) be the third derivative of -h**5/180 + h**3/18 - 9*h**2. Find r such that d(r) = 0.
-1, 1
Suppose -3*q = 2*q - 5*f, -4*q + 12 = 2*f. What is c in -c**2 - 3*c**2 + 2*c**q = 0?
0
Let g(j) be the third derivative of 1/540*j**6 + 1/945*j**7 + 0*j**3 - j**2 + 0 - 1/1512*j**8 - 1/270*j**5 + 0*j**4 + 0*j. Suppose g(c) = 0. Calculate c.
-1, 0, 1
Let g(v) = -3*v**2 + v - 4. Let h(c) = 2*c**2 + 3. Let l(t) = 5*g(t) + 6*h(t). Factor l(k).
-(k - 1)*(3*k - 2)
Let c(z) be the first derivative of -8 + 0*z - 3/4*z**4 + 0*z**2 + 1/3*z**3 + 2/5*z**5. Factor c(y).
y**2*(y - 1)*(2*y - 1)
Let b(p) be the second derivative of p**2 + 0 + 0*p**3 + 0*p**4 + 2*p - 1/60*p**5. Let c(m) be the first derivative of b(m). Factor c(a).
-a**2
Let d(y) be the first derivative of 5*y**4/48 + y**3/2 + y**2/2 + 3*y + 1. Let j(q) be the first derivative of d(q). Factor j(x).
(x + 2)*(5*x + 2)/4
Let g(u) = -3*u**5 + 4*u**4 - 2*u**2 + 3*u + 2. Let a(d) = d**5 - d**4 - d**3 + d**2 - 1. Let f(c) = -4*a(c) - g(c). Factor f(j).
-(j - 1)**3*(j + 1)*(j + 2)
Let v(x) be the third derivative of x**7/945 - x**6/90 + 13*x**5/270 - x**4/9 + 4*x**3/27 + 5*x**2. Factor v(j).
2*(j - 2)**2*(j - 1)**2/9
Let h(d) be the second derivative of -27/14*d**2 + 5*d - 3/7*d**3 - 1/28*d**4 + 0. Factor h(s).
-3*(s + 3)**2/7
Let h be (-2)/(-12)*(-18)/(-24). Let l(m) be the second derivative of 0 - 2*m + 1/48*m**4 + 1/80*m**5 - 1/24*m**3 - h*m**2. Solve l(o) = 0.
-1, 1
Let c(w) be the second derivative of -w**6/120 + w**4/8 + w**3/3 + 2*w. Let y(j) be the second derivative of c(j). Factor y(s).
-3*(s - 1)*(s + 1)
Let n(y) = -y - 5. Let p be (8/16)/((-2)/20). Let l be n(p). Suppose -w**2 + 1/3*w + l = 0. Calculate w.
0, 1/3
Let m be (2 - 2/6)*3. Let a(q) = q**5 - q**2 + q - 1. Let i(b) = 3*b**5 + 2*b**4 - 5*b**2 + 5*b - 5. Let g(d) = m*a(d) - i(d). Solve g(s) = 0.
0, 1
Let r(a) be the third derivative of a**5/12 + 5*a**4/8 + 5*a**3/3 + 11*a**2. Suppose r(o) = 0. Calculate o.
-2, -1
Suppose -v + 0 + 5 = 0. Suppose 5*a - 4 = 4*j, -4*a + j + 1 = -v*a. Factor -1/4*i**4 + a*i**3 - 1/4 + 1/2*i**2 + 0*i.
-(i - 1)**2*(i + 1)**2/4
Let c be (0 + 0)/(-5 + 7). Suppose 4*v - 1 - 7 = 0. Factor v*s + c*s + 5*s + 3*s**2 - 4*s.
3*s*(s + 1)
Let t(i) = 36*i**2 + 84*i + 15. Let a(u) = 5*u**2 + 12*u + 2. Let d(c) = -15*a(c) + 2*t(c). Factor d(p).
-3*p*(p + 4)
Let n(c) be the first derivative of c**7/840 + c**6/120 - c**4/6 + 5*c**3/3 + 3. Let r(v) be the third derivative of n(v). Find g, given that r(g) = 0.
-2, 1
Let j(f) be the third derivative of -f**5/30 - f**4/4 + 4*f**3/3 - 40*f**2. What is h in j(h) = 0?
-4, 1
Find y such that -16*y**2 - 4 + 13*y**4 + 27*y**4 - 56*y**5 - 22*y + 0 + 58*y**3 + 0 = 0.
-1/2, -2/7, 1
Suppose -20*k = -31*k. Factor -1/3*w**5 + 0*w**4 + 0*w**2 + 0 + k*w + 1/3*w**3.
-w**3*(w - 1)*(w + 1)/3
Let c(h) be the first derivative of -3*h**5/35 + 3*h**3/7 - 3*h**2/7 + 10. What is l in c(l) = 0?
-2, 0, 1
Let j(m) = -m**3 + m - 1. Let g(n) = -4*n**4 + 6*n**3 + 12*n**2 + 2*n + 6. Let c(p) = g(p) + 6*j(p). Factor c(v).
-4*v*(v - 2)*(v + 1)**2
Let t be ((-2)/(-9))/((-14)/(-126)). Let v(l) be the third derivative of 7/24*l