. What is r in -38*r**4 - 2*r**5 - 2*r**3 + 4*r**5 - r**d + 36*r**4 + 3*r**2 = 0?
-1, 0, 1
Let q = 7 - 5. Let k(o) be the first derivative of o**q + 2/3*o**3 + 2 + 0*o. Factor k(r).
2*r*(r + 1)
Let o(d) = -d + 5. Let b be o(0). Let n(c) be the third derivative of 0*c + 0 + 0*c**3 - 1/540*c**6 - 1/270*c**b + c**2 + 1/108*c**4 + 1/945*c**7. Factor n(p).
2*p*(p - 1)**2*(p + 1)/9
Let d(b) be the first derivative of b**4/32 - b**3/8 + 13. Suppose d(n) = 0. What is n?
0, 3
Let w be 6/4*16/21. What is p in -6/7*p**2 + 8/7 - 2/7*p**4 + w*p**3 - 8/7*p = 0?
-1, 1, 2
Let f(a) = 15*a**3 + 56*a**2 + 11*a - 30. Let r(s) = 15*s**3 + 55*s**2 + 10*s - 30. Let v(y) = 5*f(y) - 6*r(y). Factor v(x).
-5*(x + 1)*(x + 3)*(3*x - 2)
Let g(f) be the second derivative of -3*f**5/40 + 3*f**3/4 + 3*f**2/2 - 8*f. Factor g(c).
-3*(c - 2)*(c + 1)**2/2
Let x(a) be the third derivative of -1/18*a**4 + 5*a**2 + 0 - 1/270*a**5 + 0*a - 1/3*a**3. Determine y, given that x(y) = 0.
-3
Let w = -10 - -6. Let j be (-18)/w*(-3)/(-18). Factor -3/4*y**2 + j*y**3 - 1/4*y**4 + 0 + 1/4*y.
-y*(y - 1)**3/4
Suppose 0 = m - 4*c + 5*c + 5, 0 = m + 5*c - 3. Let k = 10 + m. Factor 1/4*t**4 + 0 + 0*t**k - 3/4*t**2 + 1/2*t.
t*(t - 1)**2*(t + 2)/4
Solve 16 + 6*t**3 - 6*t + 126*t**4 - 7*t - 11*t + 50*t**2 - 174*t**2 = 0.
-2/3, 2/7, 1
Let i(v) = -v + 2. Let l be i(2). Let f(u) be the second derivative of -1/24*u**4 + 0 + 4*u + 0*u**3 - 1/60*u**6 + l*u**2 - 1/20*u**5. Solve f(s) = 0 for s.
-1, 0
Find i such that 9/4*i**3 + 1/2*i + 0 + 4*i**5 + 10*i**4 - 13/4*i**2 = 0.
-2, -1, 0, 1/4
Suppose 2*k = l + 11, 4*k = -3*l - 2*l - 13. Factor a**2 + 7*a**2 + 3*a - a**2 + k*a**3 - a**2.
3*a*(a + 1)**2
Let l(d) = -41*d**3 - 2*d**2 - 6*d**2 + 2 + 3 - 23*d**4 + 5*d. Let f(u) = -12*u**4 - 20*u**3 - 4*u**2 + 2*u + 2. Let j(a) = 5*f(a) - 2*l(a). Solve j(q) = 0.
-1, -2/7, 0
Let b = 10/49 + 4/49. Factor 12/7*l**3 - 8/7*l**2 - 8/7*l**4 + 2/7*l + b*l**5 + 0.
2*l*(l - 1)**4/7
Let n(j) be the first derivative of -j**7/630 - j**6/180 - j**5/180 + 3*j**2/2 - 3. Let q(x) be the second derivative of n(x). Factor q(t).
-t**2*(t + 1)**2/3
Let y(l) be the third derivative of -7*l**5/60 - 3*l**4/8 - l**3/3 - 10*l**2. Suppose y(m) = 0. What is m?
-1, -2/7
Let l(r) = r**2 + 11*r - 10. Let j(o) = o**2 - 8*o + 3. Let b be j(5). Let h be l(b). Factor -2/5 + 4/5*g - 2/5*g**h.
-2*(g - 1)**2/5
Determine f so that 9*f**4 + 4*f - 3*f + 5*f - 3*f**3 - 9*f**2 - 3*f**5 = 0.
-1, 0, 1, 2
Let p(y) = -3*y + 12. Let o be p(4). Let -1/5*g**2 + 0 + o*g = 0. What is g?
0
Let s = 2/465 - -896/7905. Let j = 40/51 - s. Factor -p + j*p**2 - 2/3 + p**3.
(p - 1)*(p + 1)*(3*p + 2)/3
Find h, given that -11/3*h**4 - 23/3*h**3 - 23/3*h**2 - 2/3 - 2/3*h**5 - 11/3*h = 0.
-2, -1, -1/2
Let l(r) be the third derivative of 1/840*r**7 + 0*r + 1/30*r**5 + 1/24*r**4 + 0*r**3 + r**2 + 1/96*r**6 + 0. Factor l(i).
i*(i + 1)*(i + 2)**2/4
Let u(n) be the third derivative of 0*n**4 + 0 - 1/90*n**5 + 1/9*n**3 + 0*n - 3*n**2. Factor u(x).
-2*(x - 1)*(x + 1)/3
Let q be ((-366)/280 - (-20)/16)*-7. Determine n, given that q*n**2 + 0*n - 2/5 = 0.
-1, 1
Let i(x) be the first derivative of -x**8/840 + 3*x**2/2 - 4. Let g(v) be the second derivative of i(v). Find q such that g(q) = 0.
0
Let t be (3/2*-1)/(-26 + -4). Let g(i) be the second derivative of -5/6*i**3 + i + 0 + i**2 - t*i**5 + 1/3*i**4. Factor g(h).
-(h - 2)*(h - 1)**2
Let i(l) be the third derivative of -l**8/16800 - l**7/2100 - l**6/600 - l**5/300 + l**4/8 + 2*l**2. Let d(a) be the second derivative of i(a). Factor d(u).
-2*(u + 1)**3/5
Let q be ((-5)/(15/(-12)))/(-2). Let v be 5/15*(-2)/q. Factor 0*o + v*o**2 - 1/3.
(o - 1)*(o + 1)/3
Let k(m) = 3 - 2 + 0*m**2 - 3*m**2. Let j be -4*-1*2/4. Let c(a) = 7*a**2 - 2. Let r(s) = j*c(s) + 5*k(s). Factor r(g).
-(g - 1)*(g + 1)
Let f(a) = -19*a**2 + a + 11. Let b(l) = 4*l**2 - 2. Let n(q) = 11*b(q) + 2*f(q). Let n(y) = 0. What is y?
-1/3, 0
Let f(h) be the second derivative of -h**6/30 - 3*h**5/20 + 2*h**3/3 + 14*h. Factor f(p).
-p*(p - 1)*(p + 2)**2
Let m(r) be the first derivative of -2/9*r**3 - 1/6*r**4 + 0*r**2 - 3 + 0*r. Factor m(z).
-2*z**2*(z + 1)/3
Let o(s) = -12*s**4 + 42*s**3 - 62*s**2 + 34*s - 8. Let p(m) = -m**3 - m**2 - m. Let g(z) = o(z) - 2*p(z). Factor g(k).
-4*(k - 1)**3*(3*k - 2)
Let j(o) be the third derivative of -2/3*o**3 - 1/20*o**6 + 0 + 7/30*o**5 + o**2 + 0*o - 1/21*o**7 + 1/4*o**4. Find c such that j(c) = 0.
-1, 2/5, 1
Let k(z) = -5*z**3 - 9*z**2 - 23*z - 5. Let o(s) = -s**3 + s - 1. Let q(c) = k(c) - 4*o(c). Let m(g) be the first derivative of q(g). Find n such that m(n) = 0.
-3
Let a = -73 + 367/5. Factor 6/5*l**2 + 0 + 2/5*l**4 - 6/5*l**3 - a*l.
2*l*(l - 1)**3/5
Solve 4/13*d**2 - 4/13*d**4 + 2/13*d**5 + 0*d + 0 - 2/13*d**3 = 0.
-1, 0, 1, 2
Suppose 6*h - 11 = 25. Let u(l) be the first derivative of 47/6*l**4 + 98/27*l**h + 0*l - 2 + 406/45*l**5 + 80/27*l**3 + 4/9*l**2. Suppose u(o) = 0. What is o?
-1, -1/2, -2/7, 0
Suppose -3*h = 2*b + 11, -4*h + 5*h = -1. Let i be (b/12)/(1/(-6)). Determine s, given that 16/3*s - 8/3 + 10/3*s**i = 0.
-2, 2/5
Let i(v) = -9*v**5 + 3*v**4 + v**3 + 4*v**2 - 6*v + 7. Let s(k) = -5*k**5 + 2*k**4 + 2*k**2 - 3*k + 4. Let j(q) = 4*i(q) - 7*s(q). Factor j(b).
-b*(b - 1)**2*(b + 1)*(b + 3)
Let h(o) be the first derivative of -5*o**6/24 + 7*o**5/4 - 45*o**4/8 + 25*o**3/3 - 5*o**2 + 21. Factor h(k).
-5*k*(k - 2)**3*(k - 1)/4
Factor 4/3*w**4 + 0 + 0*w + 4/9*w**5 + 4/9*w**2 + 4/3*w**3.
4*w**2*(w + 1)**3/9
Let i be (78/(-7))/(2/28). Let h = i + 1124/7. Let 0 + 0*c - h*c**4 - 22/7*c**3 - 2*c**5 - 4/7*c**2 = 0. Calculate c.
-1, -2/7, 0
Let p(g) = -29*g**2 + 20*g - 9. Let c(o) = 7*o**2 - 5*o + 2. Let l(h) = -9*c(h) - 2*p(h). Let l(r) = 0. Calculate r.
0, 1
Let o(p) = p**3 - 13*p**2 - 13*p - 12. Let n be o(14). Suppose -a = a - n, -3*i - 5*a = -14. Suppose -1/5*z**2 + 1/5*z - 1/5*z**i + 1/5 = 0. Calculate z.
-1, 1
Let p(q) be the second derivative of q**6/600 + q**5/150 + q**4/120 + q**2 - 3*q. Let y(g) be the first derivative of p(g). Factor y(i).
i*(i + 1)**2/5
Let t(k) be the first derivative of -k**4/36 + k**3/9 - 6*k - 3. Let w(d) be the first derivative of t(d). Suppose w(a) = 0. What is a?
0, 2
Let b = -183/4 - -46. Suppose -1/2*f + b*f**2 + 0 = 0. What is f?
0, 2
Suppose -24*s + 33*s = 0. Suppose -24/7*j**3 - 4/7*j - 22/7*j**2 + 8/7*j**5 + 2/7*j**4 + s = 0. Calculate j.
-1, -1/4, 0, 2
Suppose 35 = -12*b + 59. Suppose -2/9*c**b - 2/9 + 4/9*c = 0. What is c?
1
Let c(x) be the first derivative of -x**6/10 + 18*x**5/25 - 6*x**4/5 - 2*x**3/5 + 27*x**2/10 - 12*x/5 - 5. What is y in c(y) = 0?
-1, 1, 4
Let b(w) be the first derivative of -w**6/11 + 8*w**5/11 - 18*w**4/11 + 32*w**3/33 - 25. Suppose b(g) = 0. Calculate g.
0, 2/3, 2, 4
Let b = -3 + 2. Let m be 1 - -3 - (b + 0). Determine x so that 5*x**4 - x - m*x**2 + x + 2*x - 2*x**3 = 0.
-1, 0, 2/5, 1
Let w(q) be the first derivative of q**6/24 - q**4/16 - 6. Find o, given that w(o) = 0.
-1, 0, 1
Find c such that 5/3*c**2 + 0 - 2/3*c + 1/3*c**4 - 4/3*c**3 = 0.
0, 1, 2
Factor -o**2 - 3*o**2 - 2*o**2 - 3*o**3.
-3*o**2*(o + 2)
Find s such that 0*s**2 + 0 - 2/19*s + 2/19*s**3 = 0.
-1, 0, 1
Let s be (-19)/(-6) + (-3)/18. Let q(m) be the second derivative of 1/2*m**s + 4*m + 0 + 1/12*m**4 + m**2. Determine y, given that q(y) = 0.
-2, -1
Let q(m) be the third derivative of -m**5/60 - m**4/12 - m**3/6 + 7*m**2. Factor q(r).
-(r + 1)**2
Suppose 2/11*z + 2/11 + 2/11*z**5 - 4/11*z**3 - 4/11*z**2 + 2/11*z**4 = 0. Calculate z.
-1, 1
Let h(n) be the second derivative of n**7/42 - n**6/15 + n**5/20 + 3*n. Solve h(w) = 0.
0, 1
Let m = 311/3 + -97. Factor 16/3 + m*f**2 - 4/3*f**3 - 32/3*f.
-4*(f - 2)**2*(f - 1)/3
Let a(q) be the second derivative of q**10/60480 - q**8/13440 - q**4/3 + 6*q. Let h(m) be the third derivative of a(m). Find w, given that h(w) = 0.
-1, 0, 1
Factor -18*f - 4*f**3 - 24*f**2 - 2*f - 2*f**4 - 6 - 8*f**3.
-2*(f + 1)**3*(f + 3)
Let z(a) = a**2 - 5*a + 10. Let k be z(3). Factor 0*f - 2/11 + 0*f**3 + 4/11*f**2 - 2/11*f**k.
-2*(f - 1)**2*(f + 1)**2/11
Let a(f) be the third derivative of -f**7/140 + 8*f**2. Determine b, given that a(b) = 0.
0
Let j(v) be the third derivative of v**8/84 - 8*v**7/105 + 2*v**6/15 + 2*v**5/15 - 5*v**4/6 + 4*v**3/3 - 8*v**2. Find g, given that j(g) = 0.
-1, 1