culate x.
-3, -1, 2/5
Suppose -21 = -3*h + 5*t, 2*t + 13 = 2*h - t. Let 4*p**4 + 3*p**5 - p**2 - 10*p**4 + 7*p**4 - h*p + 4*p - 5*p**3 = 0. What is p?
-1, 0, 2/3, 1
Solve 1989*u + 880*u**2 + 105*u**3 - 399*u + 110*u - 560 = 0.
-14/3, -4, 2/7
Factor -7*d + 4*d + 3*d**2 + 4*d + 48 + 11*d + 12*d.
3*(d + 4)**2
Let g(j) be the third derivative of -j**6/600 + 7*j**5/150 - j**4/2 + 12*j**3/5 - 2*j**2 + 7*j. Factor g(z).
-(z - 6)**2*(z - 2)/5
Let o = -1 + -2. Let g be 3/o + (8 - 2). Let -2*w**4 + 59*w - w**4 - g*w**3 - w**2 - 58*w = 0. What is w?
-1, 0, 1/3
Let g(k) be the third derivative of k**5/140 + k**4/7 + k**3/2 - 121*k**2 + k. Factor g(i).
3*(i + 1)*(i + 7)/7
Let j(y) be the first derivative of y**5/25 + y**4/5 - 9*y**3/5 + 19*y**2/5 - 16*y/5 + 280. Suppose j(w) = 0. What is w?
-8, 1, 2
Let i = 49 + -46. Suppose -5*o + 4 + 6 = 0. Factor -3*x**3 - 5*x**3 + 4*x**3 + 1 - x**o + i*x**3 + x.
-(x - 1)*(x + 1)**2
Factor 1/10*f**2 - 8/5*f - 57/10.
(f - 19)*(f + 3)/10
Let g(f) = -4*f**4 + 6*f**3 + f + 2. Let a(d) = -d**4 + d + 2. Let m(n) = -a(n) + g(n). Solve m(k) = 0.
0, 2
Solve 0*n + 2/5*n**2 + 0 = 0.
0
Let u be (9/27)/(70/(-10) + (-45)/(-6)). Solve -c**2 - u*c - 1/3*c**3 + 0 = 0 for c.
-2, -1, 0
Let z(l) be the third derivative of -l**7/42 + 3*l**6/8 + 27*l**5/4 + 225*l**4/8 + 44*l**2 - l. Factor z(x).
-5*x*(x - 15)*(x + 3)**2
Let u(r) be the first derivative of 12/5*r + 9/5*r**2 - 10 + 2/5*r**3. Suppose u(y) = 0. What is y?
-2, -1
Let x be (4/5)/(248/465). Find j, given that 9/2*j**4 - 7*j**2 - 12*j**3 - x + 8*j = 0.
-1, 1/3, 3
Let d be 58/210 + (5/(-35))/1. Let c(v) be the first derivative of 6/5*v + 4/5*v**2 + d*v**3 - 2. Factor c(n).
2*(n + 1)*(n + 3)/5
Suppose 6*z = -37 + 31. Let m be 2 + (-2 - z) - (-12)/15. What is a in m + 3/5*a**2 + 12/5*a = 0?
-3, -1
Let o be ((-4)/(-14))/((-7)/((-686)/77)). Solve 2/11*i**2 - o + 2/11*i = 0 for i.
-2, 1
Let m(k) be the first derivative of -2*k**5/25 - 61*k**4/10 - 1798*k**3/15 + 961*k**2/5 - 213. Factor m(f).
-2*f*(f - 1)*(f + 31)**2/5
Let x(t) be the second derivative of t**7/5040 + t**6/720 + 11*t**4/12 + 3*t. Let s(l) be the third derivative of x(l). Determine r, given that s(r) = 0.
-2, 0
Let f(r) = -r**2 - 4*r - 2. Let y be f(-2). Let s be ((-3)/(-1))/(4 - 42/12). Factor s + 36*n**2 - n**2 - y*n - 8*n**2 - 31*n.
3*(n - 1)*(9*n - 2)
Let v(b) be the third derivative of -b**7/280 + b**6/32 - b**5/10 + b**4/8 + 90*b**2. Factor v(k).
-3*k*(k - 2)**2*(k - 1)/4
Let y(t) be the second derivative of t**7/6 + 76*t**6/15 - 137*t**5/5 + 331*t**4/6 - 323*t**3/6 + 25*t**2 - 3*t + 49. Factor y(i).
(i - 1)**3*(i + 25)*(7*i - 2)
Let q = -956 - -958. Let z(n) be the first derivative of 0*n**q + 0*n**3 + 14/5*n**5 - 2 + n**4 + 0*n. Let z(v) = 0. Calculate v.
-2/7, 0
Suppose 18*x - 33*x = -30. Let f(r) be the third derivative of 1/840*r**7 + 0*r + 1/240*r**6 + 0*r**3 + 0 + 3*r**x + 0*r**4 + 0*r**5. Factor f(a).
a**3*(a + 2)/4
Let m be (-4 - -1)*12/(-18). Factor 1/3*u**m - 4/3*u + 4/3.
(u - 2)**2/3
Let f = 32/25 - -11/50. Let -3/2*o**2 - 3/2*o + 3/2 + f*o**3 = 0. What is o?
-1, 1
Suppose -45 = 3*x - 12*x. Let p(n) = -n**2 + 7*n + 9. Let i be p(8). Let -x*y - 8*y + 7*y - i - 3 - 2*y**2 = 0. Calculate y.
-2, -1
Let x(s) = 15*s**4 + 8*s**3 + 21*s**2 - 13. Let m = 2 + 8. Let n(z) = 2 - m*z**2 - 1 - 7*z**4 - 4*z**3 + 5. Let o(g) = 13*n(g) + 6*x(g). Factor o(c).
-c**2*(c + 2)**2
Let m(b) = -2*b**2 + 36*b + 4. Let r be m(18). Let y(h) be the third derivative of 1/30*h**5 + 1/12*h**4 + 0 + r*h**2 - 1/3*h**3 + 0*h - 1/60*h**6. Factor y(v).
-2*(v - 1)**2*(v + 1)
Factor 6 - 57/4*h**2 - 19/2*h + 5/4*h**3.
(h - 12)*(h + 1)*(5*h - 2)/4
Let u(t) be the second derivative of -5/2*t**3 + 9/2*t**2 + 1/4*t**4 + 0 - 12*t + 3/20*t**5. Factor u(r).
3*(r - 1)**2*(r + 3)
Let z be 10/(-9) + (-42240)/(-20520). Solve z*r - 6/19*r**2 - 10/19 - 2/19*r**3 = 0.
-5, 1
Let o(c) = -28*c - 2. Let q be o(-1). Suppose 5*s = 151 - q. Factor 13*u**3 - 17*u**3 - s*u - 24*u**2 - 11*u.
-4*u*(u + 3)**2
Let x = -78115/3 + 26039. Suppose 0 - 2*c - x*c**2 = 0. Calculate c.
-3, 0
Factor -4/7*n**3 + 4/7 - 2*n + 2*n**2.
-2*(n - 2)*(n - 1)*(2*n - 1)/7
Let j = -96254 - -25122325/261. Let b = j - -3/29. Factor 0*r + 4/9*r**2 + 0*r**3 - 2/9*r**4 - b.
-2*(r - 1)**2*(r + 1)**2/9
Let a(s) be the second derivative of s**5/570 - s**4/57 + s**3/19 + s**2 - 6*s. Let g(p) be the first derivative of a(p). Solve g(l) = 0 for l.
1, 3
Suppose 4*c - 31 = -107. Let n be c/(-13) + -6 + 9 + -4. Factor n*j**2 + 4/13*j + 2/13*j**3 + 0.
2*j*(j + 1)*(j + 2)/13
Let p(t) be the first derivative of t**6/240 + t**5/160 - 19*t + 3. Let c(k) be the first derivative of p(k). Factor c(x).
x**3*(x + 1)/8
Let j be (1 - (-2 - 0))*56/42. Let v(q) be the first derivative of 1/10*q**j + 0*q**3 - 1/5*q**2 - 1 + 0*q. Determine u so that v(u) = 0.
-1, 0, 1
Let q(j) be the third derivative of -j**7/630 - 47*j**6/45 - 8836*j**5/45 - 2*j**2 - 590*j. Find h such that q(h) = 0.
-188, 0
Let k(x) be the third derivative of 0*x**3 + 1/240*x**5 + 0*x - 14*x**2 + 0*x**4 - 1/240*x**6 + 0 + 1/840*x**7. Let k(a) = 0. Calculate a.
0, 1
Let z(k) = 3*k**3 + 6*k**2 + 3*k - 40. Let y(u) = 2*u**3 - u**2 + u. Let o(n) = -2*y(n) + 2*z(n). Let o(j) = 0. Calculate j.
-5, -4, 2
Let n = 12308/13 - 946. Let n*i**3 - 10/13*i + 8/13*i**4 - 2/13 - 6/13*i**2 = 0. What is i?
-1, -1/4, 1
Let y(d) be the second derivative of -d**6/255 + 2*d**5/85 - d**4/17 + 4*d**3/51 - d**2/17 + 26*d. Factor y(p).
-2*(p - 1)**4/17
Let a(q) be the second derivative of -q**5/48 + 5*q**3/24 + q**2 - 15*q. Let k(w) be the first derivative of a(w). Factor k(u).
-5*(u - 1)*(u + 1)/4
Let t(y) be the second derivative of -5/2*y**2 - 1/90*y**5 + 0*y**3 + 0 - 2*y + 1/36*y**4. Let w(s) be the first derivative of t(s). Factor w(u).
-2*u*(u - 1)/3
Let q(x) = 72*x**3 - 87*x**2 - 63*x + 129. Let a(w) = -9*w**3 + 11*w**2 + 8*w - 16. Let y be (2 + -1)/(2/66). Let n(m) = y*a(m) + 4*q(m). Factor n(h).
-3*(h - 2)*(h + 1)*(3*h - 2)
Suppose 20*k = 17*k. Factor 0 - 2/11*i**5 + 0*i**2 + 4/11*i**3 + k*i + 2/11*i**4.
-2*i**3*(i - 2)*(i + 1)/11
Let z be (0 + 2 - (-53)/(-30))*(-28)/(-49). Factor 8/15 - 2/5*g**2 + 0*g + z*g**3.
2*(g - 2)**2*(g + 1)/15
Let v(p) be the second derivative of -5*p**4/6 + 175*p**3/6 + 45*p**2 + 83*p. Determine t, given that v(t) = 0.
-1/2, 18
Factor 35*n - 7*n**3 - 5*n**2 + 3*n**3 - 9*n**3 + 8*n**3 - 15*n + 20.
-5*(n - 2)*(n + 1)*(n + 2)
Let g = 110 - 107. Let a(i) be the second derivative of 17*i**4/12 - 3*i**3 - 4*i**2 - i. Let k(m) = -6*m**2 + 6*m + 3. Let o(z) = g*a(z) + 8*k(z). Factor o(t).
3*t*(t - 2)
Let y(b) be the first derivative of b**3/4 + 363*b**2/8 + 90*b - 772. Factor y(r).
3*(r + 1)*(r + 120)/4
Let z(m) be the third derivative of -m**6/720 - m**5/90 - m**4/144 + m**3/6 - 14*m**2. Suppose z(q) = 0. What is q?
-3, -2, 1
Let g be 5/(-15)*(-15 + 0). Let k(p) be the first derivative of 9/2*p**2 - 6 + 0*p - p**3 - 5/4*p**4 - 1/5*p**g. What is v in k(v) = 0?
-3, 0, 1
Let t = -712 - -712. Factor 0*k + 1/5*k**3 + 2/5*k**2 + t.
k**2*(k + 2)/5
Let y(d) be the first derivative of -4*d**3/57 - 43*d**2/19 - 42*d/19 - 158. Factor y(x).
-2*(x + 21)*(2*x + 1)/19
Let d be ((-195)/1300)/((-3)/8). Factor d - 4/5*q + 2/5*q**2.
2*(q - 1)**2/5
Determine u, given that 801*u**2 - 92*u + 86 - 35*u - 804*u**2 = 0.
-43, 2/3
Let z be ((-3)/1)/(-3) + 5. Suppose z = -4*k + 7*k. Factor 7*h + h**3 - 6*h - 2*h - h - h**k.
h*(h - 2)*(h + 1)
Let q be (-6)/2*(-5 + 0 + 4). Factor -23 + 54*p**2 + 5*p**q - 79*p**2 + 3 + 40*p.
5*(p - 2)**2*(p - 1)
Factor -242/3 - 44/3*h - 2/3*h**2.
-2*(h + 11)**2/3
Factor -17/2*h - 3 + 44*h**2.
(8*h - 3)*(11*h + 2)/2
Let t(m) be the third derivative of 0*m**3 - 1/480*m**6 + 0 + 5*m**2 + 1/480*m**5 + 0*m + 1/96*m**4 - 1/1680*m**7. Let t(z) = 0. Calculate z.
-2, -1, 0, 1
Let b be 36/8*2 + -4. Suppose -2*j = -b*j + 6. Factor -43 - 4*m**5 - 24*m**3 - 4*m + 43 + 16*m**4 + 16*m**j.
-4*m*(m - 1)**4
Suppose 0 + 6 = 3*p. Determine a so that -4*a**p - 22*a - 11 + 27*a - 21*a - 5 = 0.
-2
Let t(a) = a**3 + 11*a**2 - 13*a - 8. Let f be t(-12). Suppose f = 4*c - 2*c. Let -26*q**c + 0*q**4 + 12*q**3 + q**4 - 8 + 24*q - 3*q**4 = 0. What is q?
1, 2
Let t be ((-57)/6 + 2)*16/(-80). Factor -2*f + 1/2*f**2 + t.
(f - 3)*(f - 1)/2
Let q(c) = -3*c**2 - c. Let h be 2/1