9*u + 7*u**2 - 2*u**2 = 0.
0, 5
Let y(v) be the first derivative of v**6/3 - 2*v**5 - 7*v**4 + 33. Factor y(f).
2*f**3*(f - 7)*(f + 2)
Let m be 6 + -3 + -1 - 3*-1. Factor -4*y**4 + 4*y**3 - 4*y**2 + 0*y**4 + m*y**4 - 4*y**5 + 3*y**4.
-4*y**2*(y - 1)**2*(y + 1)
Suppose 2*l**2 - l**2 + 4*l**2 - 24*l + 2264*l + 250880 = 0. Calculate l.
-224
Suppose 2*w - 4 = 3*u, w + u = -3*w + 8. Let x be (-1 + (-8)/(-4))/(250/30 + -8). What is p in 0*p + 0 + 2/3*p**w - 2/3*p**x = 0?
0, 1
Let x be (13 - (-181)/(-13))*26/(-4). Determine z so that x*z**3 - 12*z**2 - 16/9 + 8*z = 0.
2/3
Let y(h) be the second derivative of -h**10/2016 - h**9/420 - h**8/560 - 5*h**4/12 - 6*h. Let u(k) be the third derivative of y(k). Factor u(f).
-3*f**3*(f + 2)*(5*f + 2)
Let x(p) be the first derivative of 1/2*p**3 + 1/4*p**4 + 1/2*p**2 + 7 + 1/20*p**5 + 3*p. Let c(v) be the first derivative of x(v). Factor c(m).
(m + 1)**3
Let s(d) be the first derivative of -d**6/90 + d**5/15 - d**4/6 + 4*d**3/3 + 20. Let q(u) be the third derivative of s(u). Factor q(z).
-4*(z - 1)**2
Let c(r) be the second derivative of r**4/12 - 53*r**3/3 + 2809*r**2/2 - 14*r - 8. Factor c(z).
(z - 53)**2
Let b(p) be the first derivative of 4*p**3/3 - 16*p + 117. Factor b(l).
4*(l - 2)*(l + 2)
Let s(n) be the second derivative of n**6/75 - n**5/25 - n**4/6 + 2*n**3/5 - 78*n - 1. Let s(z) = 0. Calculate z.
-2, 0, 1, 3
Let a(v) = -15*v**2 - 105*v + 115. Let y(z) = 17*z**2 + 106*z - 117. Let s(g) = -6*a(g) - 5*y(g). Let s(c) = 0. What is c?
-21, 1
Let h(x) be the first derivative of 4*x**5/5 + 5*x**4/3 + 8*x**3/9 + 337. Let h(w) = 0. What is w?
-1, -2/3, 0
Let z(c) be the first derivative of -c**6/90 + c**5/5 - 3*c**4/2 + 3*c**3 - 11. Let g(k) be the third derivative of z(k). Let g(q) = 0. What is q?
3
Let u(b) = b. Let m(f) = 7*f + 1. Let t(v) = -m(v) + 6*u(v). Let a(j) = 3*j**3 + 30*j**2 - 4*j - 4. Let p(h) = a(h) - 4*t(h). Determine y, given that p(y) = 0.
-10, 0
Let b(a) be the first derivative of -a**5 - 25*a**4/4 + 5*a**3/3 + 85*a**2/2 - 60*a - 45. Determine p so that b(p) = 0.
-4, -3, 1
Let x be (-3)/7*(-5 - 2). Let m be (x + 1)*(-12)/(-16). Factor 2*r**2 - 3*r - 2*r**4 - r + r**3 + m*r**3.
-2*r*(r - 2)*(r - 1)*(r + 1)
Solve -60/11*o - 58/11*o**3 + 86/11*o**2 + 18/11*o**4 - 2/11*o**5 + 16/11 = 0.
1, 2, 4
Let b(m) be the first derivative of 0*m**2 + 15/4*m**4 + 2*m**3 - 9 + 0*m. Factor b(t).
3*t**2*(5*t + 2)
Let b(t) = t**4 + 6*t**3 - 15*t**2 + 4*t + 22. Let a(o) = -2*o**3 - 1. Let u(l) = -2*a(l) - b(l). Suppose u(p) = 0. What is p?
-5, -1, 2
Let w(z) be the first derivative of z**6/2700 + z**5/300 + z**4/90 + 4*z**3/3 - 18. Let y(d) be the third derivative of w(d). Factor y(s).
2*(s + 1)*(s + 2)/15
Let s(t) = 5*t**5 + 3*t**4 - 5*t**3 + t**2. Let b(q) = -2*q**5 - 2*q**4 + q**3 + q. Let n(r) = 2*b(r) + s(r). What is x in n(x) = 0?
-1, 0, 1, 2
Suppose 1471 = 8*k - 1201. Let o = 671/2 - k. Solve 3/2*p**3 + 9/2*p**2 + 9/2*p + o = 0.
-1
Let w be -117 + 2 - 5*12/15. Let n = w + 247/2. Factor 1/2*g**3 - 7/2*g**2 + 15/2*g - n.
(g - 3)**2*(g - 1)/2
Let i(z) be the third derivative of 0*z**5 + 29*z**2 + 0 + 0*z**4 + 1/120*z**6 + 0*z + 0*z**3 + 0*z**7 - 1/336*z**8. Factor i(o).
-o**3*(o - 1)*(o + 1)
Let q(v) be the second derivative of 9*v**6/40 - 9*v**5/4 + v**4 + 14*v**3 + 18*v**2 + 2*v + 5. Solve q(o) = 0 for o.
-2/3, 2, 6
Let j(c) be the first derivative of -c**3/9 + 166*c**2/3 - 27556*c/3 + 988. Factor j(b).
-(b - 166)**2/3
Let j(s) be the second derivative of -s**7/56 + s**6/5 - 13*s - 2. Factor j(z).
-3*z**4*(z - 8)/4
Let c be (118/8)/((-3)/(-12)). Factor 28*f**2 - 64 + 14*f - 4*f**3 + 13*f - c*f.
-4*(f - 4)**2*(f + 1)
Let r(k) be the first derivative of -9/2*k**2 + 0*k + 5 - 1/80*k**5 - 25/8*k**3 - 5/16*k**4. Let u(d) be the second derivative of r(d). Solve u(c) = 0.
-5
Let g(c) be the third derivative of -3/14*c**3 + 0 - 3*c**2 + 3/140*c**5 + 1/280*c**6 + 9*c - 1/56*c**4. Determine n, given that g(n) = 0.
-3, -1, 1
Let b be (-6 + (-62)/(-8))*4. Suppose b*x = -2*x. Solve 0 + x*d + 3/8*d**3 + 3/4*d**2 = 0 for d.
-2, 0
Let h(m) = m**3 - 7*m**2 - 17*m + 16. Let b(p) = p**3 - 3*p**2 - 9*p + 8. Suppose 3*a = 15 + 6. Let v(x) = a*b(x) - 3*h(x). Solve v(c) = 0.
-2, 1
Let c(b) be the second derivative of 0*b**2 + 0 + 12*b + 3/5*b**5 - 5/8*b**4 + 4/15*b**6 + 1/6*b**3. Factor c(x).
x*(x + 2)*(4*x - 1)**2/2
Determine f so that 1/3*f + 0 - 1/6*f**4 + 1/6*f**5 - 1/2*f**3 + 1/6*f**2 = 0.
-1, 0, 1, 2
Let c(r) = -2*r**2 - 40*r + 6. Let m be c(-20). Let v(u) be the second derivative of m*u + 1/3*u**3 + 0 + 2/3*u**2 + 1/18*u**4. Let v(i) = 0. Calculate i.
-2, -1
Let h(a) be the first derivative of 5/3*a**3 + 6 + 6*a**2 + 4*a. Factor h(d).
(d + 2)*(5*d + 2)
Let h(l) = -11*l**3 - l - 2. Let z be h(-1). Factor -20*m**5 + 5*m**2 + 40*m**5 - 32*m**4 + 0*m**4 + z*m**3 - 3*m**4.
5*m**2*(m - 1)**2*(4*m + 1)
Let v(u) be the first derivative of -5 + 0 - 1 - 3*u**3 - 2 + 9*u + 12*u**2. Determine r, given that v(r) = 0.
-1/3, 3
Let q(j) be the third derivative of j**6/200 - 13*j**5/100 + 21*j**4/20 - 291*j**2. What is w in q(w) = 0?
0, 6, 7
Let t = 1 - -3. Let m(g) = -194*g + 588. Let z be m(3). Factor -2*f**3 + 8/5 - 6*f**2 + 18/5*f**5 + z*f**t + 0*f.
2*(f + 1)**3*(3*f - 2)**2/5
Let y = -1516 - -1518. Factor -2*d + 1/3 + 5/3*d**y.
(d - 1)*(5*d - 1)/3
Let v(i) = i**4 + i**3 - 2*i**2 - i. Let o(l) = 5*l**5 - 24*l**4 + 11*l**3 + 28*l**2 - 16*l. Let z(j) = o(j) + 4*v(j). Suppose z(w) = 0. Calculate w.
-1, 0, 1, 2
Let m be (-3 + 24/9)/((-4)/36). Let -3*c - 3*c**2 - m*c**2 + 3*c**2 = 0. What is c?
-1, 0
Suppose 3*h + 3 = 6. Let l(a) = 1. Let w(b) = 3*b**2 + 27*b + 4. Let z(o) = h*w(o) - 4*l(o). Factor z(d).
3*d*(d + 9)
Let p(y) be the second derivative of 0 + 2/3*y**4 + y**5 + 4*y + 0*y**3 + 0*y**2. Suppose p(r) = 0. Calculate r.
-2/5, 0
Let t(w) be the first derivative of -w**4/34 + 43*w**2/17 + 84*w/17 - 852. Solve t(o) = 0.
-6, -1, 7
Let q be -6*(-4)/(-240) + 3/5. Let b(d) be the second derivative of d**4 - q*d**2 + 0 + 3*d + 2/3*d**3. Let b(t) = 0. Calculate t.
-1/2, 1/6
Factor -1/4*y**3 + 0 - 3/2*y**2 - 2*y.
-y*(y + 2)*(y + 4)/4
Let g(v) = -4*v**3 - 293*v**2 - 4905*v + 5175. Let p(u) = -u**3 - 73*u**2 - 1226*u + 1294. Let h(b) = 4*g(b) - 18*p(b). Factor h(m).
2*(m - 1)*(m + 36)**2
Factor -4*y**2 - 8*y**3 + 9*y**3 + 7*y - 4*y**2 + 9*y.
y*(y - 4)**2
Let i(d) = 291*d**3 + 2668*d**2 + 617*d + 36. Let x(c) = -2*c**3 + c**2 - c. Let z(p) = 2*i(p) + 2*x(p). Let z(k) = 0. Calculate k.
-9, -2/17
Let y(c) = 2*c**2 + 12*c - 21. Let z be y(-12). Let h = z - 121. Factor -2/11*g**h - 4/11*g + 6/11.
-2*(g - 1)*(g + 3)/11
Let k(s) be the first derivative of 4*s**5 + 13*s**4 + 44*s**3/3 + 6*s**2 + 447. Factor k(p).
4*p*(p + 1)**2*(5*p + 3)
Let a(k) be the first derivative of 6/5*k**5 + 3*k**3 - 4 + 3/2*k**2 - 3*k - 15/4*k**4. Solve a(h) = 0.
-1/2, 1
Let g(x) be the second derivative of -x**3 + 0*x**2 + 0*x**4 - 1/720*x**5 + 0 - 6*x - 1/2160*x**6. Let j(c) be the second derivative of g(c). Factor j(f).
-f*(f + 1)/6
Let q(y) = -y**3 - 11*y**2 + 24*y - 29. Let p be q(-13). Let j be (-51)/153*p/2. Solve 0*r**2 + 0 - 1/8*r**3 + j*r = 0.
-2, 0, 2
Let v(b) = -2*b**4 - 19*b**3 - 45*b**2 - 47*b - 16. Let z(y) = -y**3 - y**2 - y. Let a(l) = v(l) - 3*z(l). Factor a(t).
-2*(t + 1)**2*(t + 2)*(t + 4)
Let x be (-5)/(-1) - (-8 + 7). Let s(p) be the first derivative of p**x + 9 - p**3 + 3*p**4 - 19*p**5 + 1 + 16*p**5. What is b in s(b) = 0?
0, 1/2, 1
Let z(o) be the second derivative of -4/3*o**3 + 1/10*o**5 - 1/3*o**4 + 1/30*o**6 - 30*o + 0*o**2 + 0. Solve z(x) = 0 for x.
-2, 0, 2
Let -2/15*r**4 + 2/5 - 4/15*r**2 - 8/15*r + 8/15*r**3 = 0. What is r?
-1, 1, 3
Find x such that -2*x**3 - 7*x**3 + 4*x**2 + 439*x - 4 + 2*x**5 + x**3 - 433*x = 0.
-2, -1, 1
Let w = 26 - 26. Let l(z) be the third derivative of 0 + 1/20*z**5 + 9/2*z**3 + 3/4*z**4 + 3*z**2 + w*z. Find m, given that l(m) = 0.
-3
Let s(d) = -6*d + 1. Let q be s(-4). Factor -10*m**3 + 5*m**2 + 8*m - 14*m**3 + q*m**3 + 4.
(m + 1)*(m + 2)**2
Suppose -1532*u + 1527*u = -10. Solve -p**u + 1/2*p + 1/2*p**3 + 0 = 0 for p.
0, 1
Suppose -5*a = -5*z, 3*z + a = -6 + 18. Suppose 54*f**2 - 24*f**2 - 5*f**z + f**4 - 26*f**2 = 0. What is f?
0, 1, 4
Let l(t) be the first derivative of 15*t**4/4 - 47*t**3 + 87*t**2 - 48*t + 70.