Calculate x.
-12, -3, -1/3, 1
Let c = 33815 + -135251/4. Determine s so that 0*s + c*s**5 + 15/2*s**2 + 9/4*s**3 + 0 - 12*s**4 = 0.
-2/3, 0, 1, 5
Let u(y) = 14*y + 3. Let b be u(-5). Let f = b - -69. Suppose 5/4*t**3 - 3/4*t**4 - 1/4*t - 1/4*t**f + 0 = 0. What is t?
-1/3, 0, 1
Let p = -57535/33 - -5237/3. Let 12/11*i**2 - 16/11 - 2*i**3 + p*i + 6/11*i**4 = 0. What is i?
-1, 2/3, 2
Let m(t) be the third derivative of 0*t + 4/27*t**3 + 1/270*t**5 + 0 - 1/189*t**7 - 13*t**2 - 1/1512*t**8 - 7/540*t**6 + 2/27*t**4. Suppose m(z) = 0. What is z?
-2, -1, 1
Suppose 10*s - 5*s - 4*m = -739, 0 = -s - 4*m - 167. Let n = 156 + s. Factor 0 - 2/3*q**n - 4/3*q**4 + 0*q**3 + 0*q**2 + 0*q.
-2*q**4*(q + 2)/3
Let i = 7/183 + 127/1464. Let r(f) be the second derivative of 0 - 1/8*f**4 - i*f**5 - f**2 - 3*f + f**3. Find z such that r(z) = 0.
-2, 2/5, 1
Let m(d) = -d**3 + 3*d**2 - d + 7. Let z be m(3). Let w(k) be the second derivative of 1/15*k**3 - 3*k + 1/60*k**z + 0 - 3/10*k**2. Factor w(x).
(x - 1)*(x + 3)/5
Let k = 18 - 16. Let i(c) be the first derivative of -9/2*c**6 + 5 - 36*c**4 - 21/2*c**2 - 82/3*c**3 - 108/5*c**5 - k*c. Factor i(m).
-(m + 1)*(m + 2)*(3*m + 1)**3
Let z(k) be the first derivative of -k**4/22 - 4*k**3/33 + 148. Factor z(f).
-2*f**2*(f + 2)/11
Let w(y) = -3*y. Let n be w(-1). Let a be (22 + 8)/6 + -2. Determine g so that -10*g - 27*g**3 - 5*g**2 + 13*g**n + 19*g**a = 0.
-1, 0, 2
Let g(u) be the first derivative of 3/5*u**5 + 18 - 3*u**4 + 0*u - 3*u**2 + 5*u**3. Factor g(h).
3*h*(h - 2)*(h - 1)**2
Let x(n) be the second derivative of n**4 + 8/45*n**6 + 0 - 2/3*n**2 - 16*n + 11/15*n**5 + 2/9*n**3. Factor x(v).
4*(v + 1)**3*(4*v - 1)/3
Let c(d) be the first derivative of d**6/40 - d**5/20 - 3*d**2 - 6. Let l(t) be the second derivative of c(t). Factor l(k).
3*k**2*(k - 1)
Let c(k) = 12*k - 127. Let w be c(11). Let m(z) be the first derivative of 1/4*z**2 - 1/2*z**3 + 0*z - w + 1/4*z**4. Determine l so that m(l) = 0.
0, 1/2, 1
Let w = 69 - 69. Let h(v) be the third derivative of -1/120*v**5 + 0 + 1/48*v**4 + 3*v**2 + 0*v**3 + w*v. Factor h(b).
-b*(b - 1)/2
Let k(a) be the second derivative of a**4/66 - 34*a**3/33 + 289*a**2/11 + 42*a. Find n, given that k(n) = 0.
17
Let a be (-2)/(-3) + (-440)/3. Let m be 2/14 + 2/((-112)/a). Factor -3/2 - 3/4*o**2 - m*o.
-(o + 3)*(3*o + 2)/4
Let m be 10/35 + (-24)/(-14). Find g such that -6*g + 6*g**3 + 3*g**4 - 2*g**2 - 3*g**m + 0*g**2 + 2*g**2 = 0.
-2, -1, 0, 1
Let b be 12/(-20)*3/((-6)/10). Factor -v**2 - 6*v + 1 + b*v - v + 3*v + v**3.
(v - 1)**2*(v + 1)
Let n be (-2 - (-1 - -1))*(-1)/19. Let -6/19*m + 0 - n*m**2 = 0. What is m?
-3, 0
Let r(n) be the first derivative of -2/11*n**3 + 39 + 1/11*n**2 + 0*n + 3/22*n**4 - 2/55*n**5. Factor r(l).
-2*l*(l - 1)**3/11
Let d(q) be the third derivative of 1/78*q**4 + 0 - 1/390*q**5 + 0*q - 19*q**2 + 0*q**3. Factor d(l).
-2*l*(l - 2)/13
Let v(m) be the third derivative of -m**5/570 + m**4/76 + 777*m**2. Factor v(c).
-2*c*(c - 3)/19
Suppose 0 = -9*p + p. Let v be p - (2 - 5 - 1). Solve 2/13*x - 8/13*x**3 + 8/13*x**v - 2/13*x**2 + 0 = 0.
-1/2, 0, 1/2, 1
Suppose 0 = 3*n - 5*z - 21, n - 40*z + 42*z = -4. What is j in 2/3*j**4 + 4/3 - 2/3*j**3 + 2/3*j - n*j**2 = 0?
-1, 1, 2
Let s(w) be the second derivative of 16/9*w**2 + 8*w + 0*w**3 - 8/27*w**4 + 0 + 1/45*w**6 - 2/45*w**5 + 1/189*w**7. Solve s(t) = 0.
-2, 1, 2
Let i(c) be the third derivative of -c**9/45360 + c**8/3360 - c**7/840 - 19*c**4/24 - 3*c**2. Let o(h) be the second derivative of i(h). Factor o(w).
-w**2*(w - 3)**2/3
Let y(c) = -c**3 - 6*c**2 - c + 4. Let s(i) be the first derivative of -5*i**3/3 + 5*i - 31. Let l(u) = -4*s(u) + 5*y(u). Factor l(j).
-5*j*(j + 1)**2
Let d = 214/5 + -128/3. Let x(m) be the first derivative of d*m**3 + 0*m - 5 - 1/5*m**2. Let x(n) = 0. Calculate n.
0, 1
Let m(y) be the second derivative of y**5/5 - 6*y**3 + 74*y. Factor m(r).
4*r*(r - 3)*(r + 3)
Let g(r) be the first derivative of -9*r**3 + 9 - 6*r + 33/2*r**2. Factor g(j).
-3*(j - 1)*(9*j - 2)
Let x(s) be the first derivative of 2*s**3/63 - 40*s**2/7 - 242*s/21 - 318. Determine p, given that x(p) = 0.
-1, 121
Let f be (-8)/(-52) + (-105)/(-585). Factor -1/6*s**2 + 0 - f*s.
-s*(s + 2)/6
Factor -2/7*l**2 + 0 - 4/7*l.
-2*l*(l + 2)/7
Let o(t) = t + 6. Suppose y + 4*j + 15 = 0, 4*y + 2*j + 7 + 11 = 0. Let k be o(y). Determine w so that -48*w**5 - w**4 - 2*w**2 + 43*w**5 - w**k + 9*w**4 = 0.
-2/5, 0, 1
Let y(j) = -j**4 - j + 1. Suppose -3*a + 4*a + 22 = -3*o, a - 26 = 5*o. Let i(r) = 5*r**4 + 3*r**2 + 8*r - 6. Let g(h) = o*y(h) - i(h). Let g(b) = 0. What is b?
-1, 0, 2
Let b(u) = -8*u**2 - 8*u - 17. Let s(i) = 3*i**2 + 3*i + 6. Let d(v) = 6*v - 19. Let p be d(6). Let t(o) = p*s(o) + 6*b(o). Factor t(k).
3*k*(k + 1)
Let l(i) = -9*i**3 - 35*i**2 - 132*i - 139. Let s(b) = b**3 - b**2 - 1. Let k(f) = -l(f) - 5*s(f). Solve k(p) = 0 for p.
-4, -3
Let b(x) be the second derivative of x**4/3 + 26*x**3/3 - 60*x**2 + x - 161. Factor b(i).
4*(i - 2)*(i + 15)
Let x be (-4*(140/(-32) + 4))/3. Let i(r) be the first derivative of -x*r**4 - r**2 - 4/3*r**3 + 0*r - 5. Factor i(n).
-2*n*(n + 1)**2
Let d(z) = z**4 - 13*z**3 + 11*z**2 + 58*z - 63. Let c(y) = -4*y**4 + 64*y**3 - 56*y**2 - 290*y + 314. Let n(h) = 3*c(h) + 14*d(h). What is i in n(i) = 0?
-5, -3, 1, 2
Let x = -3293 - -3295. Factor 2/3 - 8/3*u - 10/3*u**x.
-2*(u + 1)*(5*u - 1)/3
Let l be 307 + -316 - (-37 + 1). Factor 18*n**2 + 27/2 - 4*n**3 - l*n.
-(2*n - 3)**3/2
Let q be 2*((-1)/2 + 3). Suppose -3*m + q = -4*r - 29, r = 3*m - 22. Suppose -5*j - j**2 + 3*j**2 + j**3 + m*j = 0. Calculate j.
-1, 0
Let l = -376 - -376. Let v(s) be the third derivative of l*s - 1/72*s**4 + 0 + 0*s**3 + 1/720*s**6 - 2*s**2 - 1/360*s**5. Factor v(d).
d*(d - 2)*(d + 1)/6
Let h(r) = r**2 + 12*r - 62. Let d be h(-16). Factor -4/5*o + 0 + 2/5*o**d.
2*o*(o - 2)/5
Let l(r) = r**4 - r**3 + r**2 - 1. Let h(o) = 7 - 3 + 2*o**3 - 3*o**4 - 12*o**2 + 4*o**3 + 5. Let p(g) = h(g) + 6*l(g). Factor p(m).
3*(m - 1)**2*(m + 1)**2
Solve 2*j**2 + 270*j - 30*j**2 - 4*j**2 - 3645 + 27*j**2 = 0 for j.
27
Let c = -19 - -54. Let 20 + 5*i**2 - 92*i + c*i + 37*i = 0. What is i?
2
Let r(y) = 15*y**3 - 112*y**2 + y + 112. Let f(w) = -5*w**3 + 37*w**2 - w - 37. Let p(a) = 8*f(a) + 3*r(a). Let p(c) = 0. Calculate c.
-1, 1, 8
Let b = -209 - -368. Let f = 159 - b. Solve f + 3/4*i**2 - 3*i = 0 for i.
0, 4
Let y(i) be the second derivative of -i**6/180 + i**5/60 + i**4/6 + 5*i**3/3 - 5*i. Let u(a) be the second derivative of y(a). Factor u(z).
-2*(z - 2)*(z + 1)
Let l(k) be the second derivative of 1/15*k**5 - 1/6*k**4 + 1/126*k**7 - 10*k + 1/15*k**6 + 0*k**2 - 5/18*k**3 + 0. Factor l(c).
c*(c - 1)*(c + 1)**2*(c + 5)/3
Find g, given that -1136/13*g + 56/13*g**3 - 2098/13*g**2 - 152/13 = 0.
-2/7, -1/4, 38
Suppose -4*b - 135 = -7*b. Factor 14*k**3 + 7*k**3 - 35*k**3 - 120*k + 9*k**3 + 80 + b*k**2.
-5*(k - 4)**2*(k - 1)
Suppose 115/6*r**2 + 25/3*r - 20 - 25/3*r**3 + 5/6*r**4 = 0. Calculate r.
-1, 1, 4, 6
Suppose -k + 3*x = 4, 2*k - 2*x = 6 - 2. Let a be (9/(-5))/(-3)*k. Find g such that 5*g**a - 4*g - 16 + 25*g + 3*g - 12*g**2 - 3*g**3 = 0.
2
Let s(r) be the second derivative of -r**8/13440 + r**6/480 - r**5/120 - 23*r**4/12 - 23*r. Let k(i) be the third derivative of s(i). Find h such that k(h) = 0.
-2, 1
Suppose 4*n - 21 = q, -2*n + 5 = -0*q + 5*q. Suppose -n*o + j = -17, -13 = 4*o - 5*o + 5*j. Factor -8/9*v - 2/9*v**o + 0 - 8/9*v**2.
-2*v*(v + 2)**2/9
Determine t so that -160/3*t - 1/3*t**2 - 6400/3 = 0.
-80
Let i(v) = 12*v + 8. Let t(w) = w. Let s(h) = -i(h) + 10*t(h). Let a be s(-6). Find f, given that -2 + 8*f - a*f - f**2 + 0*f - f = 0.
1, 2
Let y(h) = 8*h**2 + 48*h - 50. Let i(u) = -2*u**2 + 1. Let j(c) = -6*i(c) - y(c). What is k in j(k) = 0?
1, 11
Suppose -2*g - g - 6 = -5*v, -4*v + 5*g - 3 = 0. Let 10 + 15*i**2 - 43 - 84*i - v = 0. What is i?
-2/5, 6
Let q(m) be the first derivative of -1/21*m**6 + 6/35*m**5 + 0*m + 0*m**2 + 25 + 0*m**4 - 8/21*m**3. Suppose q(w) = 0. What is w?
-1, 0, 2
Let r(y) be the second derivative of -2*y**7/315 + y**5/45 - 13*y**2/2 + 7*y. Let l(n) be the first derivative of r(n). Solve l(k) = 0.
-1, 0, 1
Let d be (80/(-12) - -6)/(1/3). Let l be d/20*(-112)/7. Factor -12/5*c**2 - 8/5*c - 2/5 - 2/5*c**4 - l*c**3.
-2