ppose 402 = -6*t + 9*t. Determine z so that 119*z**4 - 45*z + 76*z**2 + t*z**2 - 9*z**4 - 15*z**5 - 260*z**3 = 0.
0, 1/3, 1, 3
Let w(t) be the first derivative of 4*t**5/5 + t**4 - 4*t**3 - 2*t**2 + 8*t - 212. What is c in w(c) = 0?
-2, -1, 1
Suppose -w = -3*w + 7*w. Let g(m) be the third derivative of 2*m**2 + 0*m**3 + 1/120*m**6 + 0*m**5 + 0*m**4 + w + 0*m. Determine p, given that g(p) = 0.
0
Let z(b) = -11*b**2 - 152*b - 1123. Let c(r) = -25*r**2 - 305*r - 2245. Let k(a) = 2*c(a) - 5*z(a). Determine x so that k(x) = 0.
-15
Let p(s) be the first derivative of 1/2*s**2 + 4 - 2/5*s - 4/15*s**3 + 1/20*s**4. Let p(g) = 0. What is g?
1, 2
Let a(u) be the second derivative of u**6/10 - 33*u**5/20 - u**4/4 + 11*u**3/2 - 54*u - 1. Let a(d) = 0. What is d?
-1, 0, 1, 11
Let z(d) be the first derivative of -8 + 2/7*d**3 + 2/7*d**2 + 0*d**4 + 0*d - 2/35*d**5. Factor z(a).
-2*a*(a - 2)*(a + 1)**2/7
Let w(r) be the third derivative of r**8/35280 - 4*r**7/2205 + 16*r**6/315 - 7*r**5/60 + 3*r**2. Let b(n) be the third derivative of w(n). Factor b(k).
4*(k - 8)**2/7
Suppose 2*t = 3*f + 10, -7 = t + f - 17. Suppose -2*z - 8 + t = 0. Factor -1/4 + z*c**2 - c**3 + 3/4*c.
-(c + 1)*(2*c - 1)**2/4
Factor -4 - 9/4*h**2 + 25/4*h.
-(h - 1)*(9*h - 16)/4
Let x(w) be the second derivative of w**7/14 + 7*w**6/5 + 117*w**5/20 - 81*w**4/2 - 270*w**3 + 972*w**2 - 76*w + 2. Factor x(l).
3*(l - 3)*(l - 1)*(l + 6)**3
Let h(y) = 2*y**2 - 13*y - 10. Let j = -81 - -67. Let d(v) = -v**2 + 4*v + 3. Let x(m) = j*d(m) - 4*h(m). Find f, given that x(f) = 0.
-1/3, 1
Let x = -527 - -33202/63. Let k(l) be the second derivative of x*l**7 + l + 0*l**4 + 0*l**2 + 0 + 0*l**3 - 2/45*l**6 + 1/30*l**5. Factor k(w).
2*w**3*(w - 1)**2/3
Let q be 4/(-24) - 183/(-18). Suppose -q*n + 16 = -6*n. Factor 10*t + 5 + 12*t**2 + 1 - 4 - n*t**2.
2*(t + 1)*(4*t + 1)
Let f(z) be the second derivative of z**6/30 + 6*z**5/5 - z**4/12 - 4*z**3 + 211*z. Suppose f(m) = 0. Calculate m.
-24, -1, 0, 1
Suppose -1/3 - 8/3*d**2 + 3*d**4 - 2*d + 2*d**3 = 0. What is d?
-1, -1/3, 1
Let u(w) = 10 + 0*w + 0*w + w. Let x be u(-10). Solve -g + 2*g**2 - 3*g**2 + x*g**2 = 0 for g.
-1, 0
Let l(g) be the third derivative of -2*g**7/105 + g**6/6 - g**5/5 - 3*g**4/2 - 4*g**2 - 71. Factor l(a).
-4*a*(a - 3)**2*(a + 1)
Suppose -4*d - 3 + 1 = 2*l, -2 = -5*d + 2*l. Let v(c) be the second derivative of d*c**3 + 0*c**5 + 0 + 8*c + 1/12*c**4 - 1/60*c**6 - 1/4*c**2. Solve v(x) = 0.
-1, 1
Let l = 3 + -3. Let b(t) be the second derivative of 1/168*t**7 - 1/80*t**5 - 2*t + 0*t**3 + 0*t**6 + l*t**4 + 0*t**2 + 0. Factor b(z).
z**3*(z - 1)*(z + 1)/4
Let a be (-2)/5 - (-24)/10. Let 26*d + 44 - 59 - 6*d + 2*d**2 - 7*d**a = 0. What is d?
1, 3
Let d(n) be the first derivative of n**5/5 + 4*n**4/3 + 10*n**3/3 + 4*n**2 + 10*n + 10. Let a(x) be the first derivative of d(x). Solve a(j) = 0.
-2, -1
Let v(q) be the third derivative of -q**6/1200 - q**5/600 + 3*q**3 + 10*q**2. Let t(g) be the first derivative of v(g). Find f such that t(f) = 0.
-2/3, 0
Let p be 70/15 - (-4)/12. Factor p*r**4 - 30*r**3 + 26*r - 7*r**2 + 5*r**5 + 14*r - 13*r**2.
5*r*(r - 2)*(r - 1)*(r + 2)**2
Let t be 1 + 12/27 + -1. Factor 0 - 2/9*y**2 + t*y - 2/9*y**3.
-2*y*(y - 1)*(y + 2)/9
Let a = -543 - -543. Let t(k) be the first derivative of 0*k**5 + 0*k + 29/26*k**4 + a*k**3 - 4/13*k**2 - 25/39*k**6 - 6. Find n such that t(n) = 0.
-1, -2/5, 0, 2/5, 1
Factor 0*l + 0*l**2 - 1/6*l**5 + 5/6*l**3 + 0 - 2/3*l**4.
-l**3*(l - 1)*(l + 5)/6
Let j(f) be the second derivative of 0 + 0*f**2 + 7*f + 3/140*f**5 + 0*f**3 + 1/28*f**4. Factor j(k).
3*k**2*(k + 1)/7
Let t = -395/22 + 214/11. Determine g so that 0 + 0*g + t*g**2 + 0*g**3 - 3/2*g**4 = 0.
-1, 0, 1
Let u(f) = -f**3 + 11*f**2 - f - 5. Let p be u(9). Factor p + 4*r - 148 - 8*r**3 + 4*r**5.
4*r*(r - 1)**2*(r + 1)**2
Let a = -15 + 17. Factor 290*l**3 - 180*l**a + 4 + 115*l - 8 - 74*l**3 - 67*l.
4*(3*l - 1)**2*(6*l - 1)
Let o be ((-5)/(-3) + -2)*-9. Factor 16*y**2 + 7904*y**4 - 7899*y**4 + 4*y**2 - 20*y**o.
5*y**2*(y - 2)**2
Determine i, given that 3/5*i**2 + 1/5*i**3 + 0*i - 4/5 = 0.
-2, 1
Let 1/7*t**2 + 2*t + 13/7 = 0. What is t?
-13, -1
Let k = 8/73 - -57/146. Let t(o) be the first derivative of k*o**4 + 8*o - 5 + 0*o**2 - 2*o**3. Determine a so that t(a) = 0.
-1, 2
Let p(m) be the first derivative of -4*m**3/3 + 42*m**2 + 288*m + 596. Suppose p(n) = 0. Calculate n.
-3, 24
Let x(c) = -c**2 - 2. Let t(z) = 360*z - 8092. Let p(w) = -t(w) - 4*x(w). Factor p(m).
4*(m - 45)**2
Let p(a) be the third derivative of a**6/40 - a**5/2 - a**4/8 + 5*a**3 + 26*a**2 - 14*a. What is u in p(u) = 0?
-1, 1, 10
Let q(b) = 58*b**2 + 130*b + 66. Let z(j) = 2*j**3 - j**2 - j - 1. Let g(u) = -q(u) + 2*z(u). Factor g(n).
4*(n - 17)*(n + 1)**2
Let q(n) be the first derivative of -2*n**6/15 + 2*n + 2. Let x(m) be the first derivative of q(m). Determine k, given that x(k) = 0.
0
Solve 18 - 10*r + 7*r**2 + 2*r + 34*r + 0*r**4 - 3*r**3 + r - r**4 = 0 for r.
-3, -2, -1, 3
Let k(u) be the third derivative of 0*u**3 + 0*u - 1/24*u**4 + 0 - 1/60*u**6 + 4*u**2 + 1/20*u**5. Factor k(r).
-r*(r - 1)*(2*r - 1)
Find d, given that -113*d - 1375 - 174*d - 474 - d**2 + 201*d = 0.
-43
Suppose u + 33 = 5*d, -d + 5*u - 9 = -5*d. Suppose 4*j - j - d = 0. Find i, given that 2/3*i + 2/3*i**j + 0 = 0.
-1, 0
Suppose 31 = z + 5*y, 4*y - 14 = -3*z + 4*z. Suppose 0 = -5*n + 4 + z. Suppose 4*w**n + 5*w - 2*w**2 - 5*w**3 + 6*w**3 - 4*w = 0. What is w?
-1, 0
Factor -26*r**2 + 112*r - 784 + 22*r**2 + 0*r**2.
-4*(r - 14)**2
Let r = 16649 + -4212173/253. Let g = r + 2/23. Find s, given that 2/11*s**4 + 4/11*s**3 - g + 0*s**2 - 4/11*s = 0.
-1, 1
Suppose 2*h = 7*h + 215. Let y = 45 + h. Solve -6/7*c - 4/7*c**y + 2/7*c**5 + 6/7*c**4 - 2/7 + 4/7*c**3 = 0 for c.
-1, 1
Let z(h) be the second derivative of 0*h**2 + 8*h - 1/10*h**5 + 0*h**3 + 0 + 1/15*h**6 - 1/3*h**4. Factor z(u).
2*u**2*(u - 2)*(u + 1)
Let x = -26308 - -26408. Factor x*u - 10*u**2 - 1000/3 + 1/3*u**3.
(u - 10)**3/3
Factor 5*v**2 + 1/3*v**3 + 14/3*v + 0.
v*(v + 1)*(v + 14)/3
Let y be -5 - 16/320*-102. Factor 1/10*n + y*n**5 + 1/5*n**2 - 1/5*n**3 - 1/10*n**4 - 1/10.
(n - 1)**3*(n + 1)**2/10
Let o(q) be the second derivative of -3*q**5/20 - 2*q**4 + 10*q**3 - 134*q. Solve o(j) = 0 for j.
-10, 0, 2
Let l(n) be the second derivative of 0 + 6*n**2 - 12*n + 1/3*n**4 + 8/3*n**3. What is z in l(z) = 0?
-3, -1
Find k, given that -11*k**4 + 151*k**2 + 9*k**3 + 58*k - 1735*k**5 + 1736*k**5 + 40*k - 32*k**2 = 0.
-2, -1, 0, 7
Let y(l) be the second derivative of -l**5/5 + 37*l**4/3 - 68*l**3/3 - 144*l**2 + 41*l - 2. Find c such that y(c) = 0.
-1, 2, 36
Let i(z) be the first derivative of 0*z + 1/5*z**2 - 9 - 1/10*z**4 + 0*z**3. Factor i(g).
-2*g*(g - 1)*(g + 1)/5
Let c(n) be the first derivative of n**4/24 - 11*n**3/9 + 85*n**2/12 + 148. Find k such that c(k) = 0.
0, 5, 17
Suppose -q - 4 = -4*s + 11, -s + 15 = -4*q. Suppose 0 = -x - 1 + s. Find d, given that -2 - d**3 + 4*d**3 + 5 - 3*d**x - 3*d = 0.
-1, 1
Let j(u) be the second derivative of u**5/20 + 5*u**4/12 - u**3 - 300*u. Factor j(d).
d*(d - 1)*(d + 6)
Let n be 24/36*6/16. Let y(p) = p**3 - p**2 - 15. Let l be y(3). Factor -n*r**4 + 3/2*r**l - 13/4*r**2 + 3*r - 1.
-(r - 2)**2*(r - 1)**2/4
Suppose 0 = 16*w - 69 + 69. Factor -4/11*q + w + 2/11*q**2.
2*q*(q - 2)/11
Factor -420 + 20 + 700*j + 60*j - 321*j**2 - 2*j**4 + j**4 - 33*j**3 - 5*j**3.
-(j - 1)**2*(j + 20)**2
Let k = 38 - 35. Find v, given that 30*v**4 + 64*v**3 + 7*v**2 + 5*v**5 - 4*v**k + 28*v**2 + 5*v**2 = 0.
-2, 0
Let h(i) = -6*i**3 - 5*i**2 + 19*i + 5. Let v = 64 + -82. Let a(z) = 21*z**3 + 18*z**2 - 66*z - 18. Let n(t) = v*h(t) - 5*a(t). Let n(s) = 0. Calculate s.
-2, 0, 2
Let p = -76 + 79. Let s be ((-18)/(-33))/p*1. Factor -s*m**2 + 2/11 + 2/11*m - 2/11*m**3.
-2*(m - 1)*(m + 1)**2/11
Suppose 0 - 2/3*o**2 + 8*o = 0. Calculate o.
0, 12
Let b be (6/2)/(39/65). Let j(c) be the second derivative of 0 - 13*c - 2/35*c**6 + 0*c**3 + 0*c**2 + 3/35*c**b + 0*c**4 + 1/98*c**7. Factor j(a).
3*a**3*(a - 2)**2/7
Let q(i) be the third derivative of i**6/420 + 3*i**5/70 - i**4/4 + 11*i**3/21 - 53*i**2 - 2. Determine y, given that q(y) = 0.
-11, 1
Let v(r) be the second derivative of 1/252*r**7 - 1/12*r**2 - 1/60*r**5 + 1/36*r**3 + 1/36*r**4 + 28*r 