be the third derivative of b**5/240 - b**4/32 - 5*b**3/12 - 2*b**2 - 22*b. Solve h(q) = 0 for q.
-2, 5
Let d(n) be the first derivative of n**4/42 - 4*n**3/7 + 36*n**2/7 + 18*n - 6. Let l(k) be the first derivative of d(k). Solve l(h) = 0.
6
Let b(t) = -t - 4. Let v be b(-6). Factor -n**4 + 2*n**2 - 3*n**4 + 2*n - v*n**5 + 2*n**2.
-2*n*(n - 1)*(n + 1)**3
Let b = -22 + 24. Let -14*z**b + 0*z + 5*z + 3 - 5*z**3 + 7 + 4*z**2 = 0. Calculate z.
-2, -1, 1
Determine r so that -352/5 + 4/5*r**2 + 168/5*r = 0.
-44, 2
Suppose 10*h - 14*h + 12 = 0. Let p be -2 - (h - -1)*-1. Factor 2/5*a**3 - 2/5*a + 2/5 - 2/5*a**p.
2*(a - 1)**2*(a + 1)/5
Let h(a) = -a**2 - 8*a + 13. Let w(b) = -b**2 - 7*b + 12. Let x(f) = 6*h(f) - 7*w(f). Suppose x(u) = 0. What is u?
-3, 2
Suppose 5*f = -4*k + 3, -k + 3*f = -0*k - 5. Let j = 1883 + -1883. Factor 0 + 2/3*l - 2/3*l**5 + j*l**3 + 4/3*l**k - 4/3*l**4.
-2*l*(l - 1)*(l + 1)**3/3
Let q = 4 + -1. Suppose n = -q*n + 8. Solve -2*v + 2*v**n + 2 - 2*v**3 + 4*v**3 - 4*v**2 = 0.
-1, 1
Let s be 3 + ((-258)/(-78) - 6). Let 0 + s*z - 2/13*z**4 + 6/13*z**2 + 0*z**3 = 0. Calculate z.
-1, 0, 2
Let y(g) be the second derivative of g**9/10080 - g**7/420 - g**4/4 + 5*g**3/3 - 3*g - 10. Let i(c) be the third derivative of y(c). Factor i(h).
3*h**2*(h - 2)*(h + 2)/2
Let r(s) = -s**3 + s**2 + s + 1. Let m(h) = -6*h**3 - 38*h**2 + 6*h + 42. Let j(n) = m(n) - 2*r(n). What is f in j(f) = 0?
-10, -1, 1
Let 2/5*g**2 + 0*g + 0 + 2/5*g**3 = 0. Calculate g.
-1, 0
Factor s**4 + 459/2*s**2 - 1215/2*s - 729/2 - 53/2*s**3.
(s - 9)**3*(2*s + 1)/2
Let l be 11 - (-4 - (-3 + (5 - 3))). Let r be 8/(-16) + l/12. Factor 1/3*f**3 + r + 0*f**2 - f.
(f - 1)**2*(f + 2)/3
Let n be (0 - (-2 + -10))*-9*(-4)/192. Factor -3/4*b**3 + 0 + 0*b + n*b**2.
-3*b**2*(b - 3)/4
Let x(d) be the first derivative of d + 0*d**3 - 1/40*d**5 - 2 + 1/8*d**4 - d**2. Let y(b) be the first derivative of x(b). Suppose y(o) = 0. What is o?
-1, 2
Let o(u) be the third derivative of -1/630*u**7 + 0*u - 7/360*u**6 + u**2 + 0*u**4 + 0*u**3 + 0 - 1/90*u**5 + 5/504*u**8. Find g, given that o(g) = 0.
-1/2, -2/5, 0, 1
Let g(u) be the second derivative of -u**7/5880 - u**6/1680 + u**5/140 + 7*u**4/12 - 6*u. Let a(f) be the third derivative of g(f). Solve a(t) = 0 for t.
-2, 1
Let q = 548 - 546. Let a(s) be the first derivative of 5 + 10*s + 2/15*s**3 - 2*s**q. Determine v, given that a(v) = 0.
5
Suppose -4*q = 2*p - 68, -3*q + 14 = -2*q - p. Let n be 5/12 + 4/q. Factor r + 1/3*r**2 + n.
(r + 1)*(r + 2)/3
Let o = 2 + 0. Find k such that -k**4 + 2*k**2 - 2*k**3 - 7*k**2 + 3*k**3 + 3*k**3 + o*k = 0.
0, 1, 2
Let b be ((-30)/(-35) - 0)/(6/28). Find t such that 2*t**2 - 7*t - 5*t**4 + 2 + 2*t**4 + 3*t**3 - t**2 + b*t**3 = 0.
-1, 1/3, 1, 2
Let v(q) be the third derivative of -q**5/120 - 91*q**4/24 - 8281*q**3/12 + 21*q**2 - 9. Factor v(s).
-(s + 91)**2/2
Suppose -2*g = -18 + 2. Factor g - s**2 - 10 + 4*s + 7.
-(s - 5)*(s + 1)
Let n(f) be the first derivative of 1/21*f**3 + f + 1/140*f**5 + 0*f**2 - 1/28*f**4 + 3. Let g(m) be the first derivative of n(m). Suppose g(l) = 0. What is l?
0, 1, 2
Let k = -246 - -141. Let t be k/42*(-1)/1. Factor 5/2*n**4 + 0*n**3 - 5*n**2 + 0*n + t.
5*(n - 1)**2*(n + 1)**2/2
Factor -42/5 - 3/5*d**2 + 9*d.
-3*(d - 14)*(d - 1)/5
Suppose -5*v = -h - 20, v - 2*h - 2*h = 4. Determine o, given that v*o**2 - 134 + 12*o + 134 = 0.
-3, 0
Let m = 127/11 - 878/77. Let g(n) = 3*n. Let z be g(1). Factor -1/7*t**2 + 0 - m*t**z + 0*t.
-t**2*(t + 1)/7
Suppose 22/7*d - 10/7*d**2 - 4/7 = 0. What is d?
1/5, 2
Suppose -165 = -4*s - 965. Let p be 240/s + (-32)/(-10). Let 2/3*x + 0 - 1/3*x**p = 0. Calculate x.
0, 2
Suppose 4*f + 0*f = 4. Let k be (-4 - -3) + 3 + 1. Solve 0*o**2 - 3*o + o**2 - o**k + 4*o - f + 0*o**2 = 0.
-1, 1
Let r(f) = -5*f**3 + 112*f**2 - 3*f. Let q(h) = 10*h**3 - 225*h**2 + 5*h. Let o(k) = -3*q(k) - 5*r(k). Let o(c) = 0. Calculate c.
0, 23
Solve 8*a + 5*a**2 + 16/5 = 0 for a.
-4/5
Let d(x) = 5*x**2 - 9 + 6 - 3*x**2 - 9*x. Let a be d(5). Find c such that 0 + 0*c**a + 1/2*c**3 + 0*c = 0.
0
Let i be (-1 + 1)*(-1)/(-2). Suppose i = -9*k + 14 + 22. Factor 1/5*u**3 + 0 + 3/5*u**k + 2/5*u**5 + 0*u + 0*u**2.
u**3*(u + 1)*(2*u + 1)/5
Let y be 4/3*(4 - 248/64)*4. Factor 0 - 2/3*p**3 + 0*p**2 + y*p.
-2*p*(p - 1)*(p + 1)/3
Let o = 133092/5 - 26616. Determine f so that 4*f**3 - 12/5 + 0*f**2 - 22/5*f + 2/5*f**5 + o*f**4 = 0.
-3, -2, -1, 1
Let r = 5 + -1. Suppose b = -2*b - 4*w - 3, 0 = -4*b - r*w. Factor 19*v**5 - 13*v**2 + 91*v**2 + 252*v**4 + 8*v + 79*v**5 - 6*v**2 + 218*v**b.
2*v*(v + 1)**2*(7*v + 2)**2
Let s(y) be the second derivative of -3/7*y**3 + 0 + 13*y + 1/28*y**4 + 0*y**2. Determine c, given that s(c) = 0.
0, 6
Suppose -193*i = -207*i. Let y(n) be the third derivative of i + 5*n**2 + 0*n**3 - 1/540*n**6 - 1/54*n**4 + 0*n + 1/90*n**5. Factor y(c).
-2*c*(c - 2)*(c - 1)/9
Let u(c) be the second derivative of c**5/120 - 5*c**4/24 + 4*c**3/3 + 16*c**2/3 + 6*c + 1. Factor u(l).
(l - 8)**2*(l + 1)/6
Let j = 126 - 2. Let w = j + -121. Factor 12/7 - 3/7*n**w - 24/7*n + 15/7*n**2.
-3*(n - 2)**2*(n - 1)/7
Let r be 616/(-10)*(24 - 25). Suppose -r*t - 64/5*t**4 - 328/5*t**2 + 4/5*t**5 + 392/5 + 304/5*t**3 = 0. Calculate t.
-1, 1, 2, 7
Let p be ((27/(-108))/(3/18))/(18/(-4)). Let -1/6*c**5 + 1/3 + p*c**4 - 2/3*c**2 - 1/6*c + 1/3*c**3 = 0. Calculate c.
-1, 1, 2
Let r(q) = q**5 + 12*q**4 - 13*q**3 + 2*q**2 + 17*q - 4. Let b(m) = m**5 + 13*m**4 - 12*m**3 + 2*m**2 + 17*m - 3. Let h(o) = 5*b(o) - 6*r(o). Factor h(n).
-(n - 1)**3*(n + 1)*(n + 9)
Let g = 173 + -93. Determine b so that 9*b**3 - 6*b**3 + 4*b**3 + 50 + 9*b**3 - g*b + 2*b**4 + 12*b**2 = 0.
-5, 1
Let m(o) = -4*o - 3. Let q be m(-2). Let 26*t**4 - 581*t**2 + q*t + 586*t**2 - 11*t**4 - 25*t**3 = 0. What is t?
-1/3, 0, 1
Let w(r) = -4*r - 15. Let b be w(-6). What is m in m**2 + 4*m**5 - 3*m**5 + b*m**4 + 2*m**5 + 9*m**3 + 2*m**2 = 0?
-1, 0
Suppose 0 = 5*n - 4*s - 16, 2*n - 5*s - 11 = -2*n. Let p(r) be the second derivative of -1/2*r**3 + 3*r**2 + 0 - 1/4*r**n + r. Factor p(c).
-3*(c - 1)*(c + 2)
Let f(d) be the second derivative of -1/8*d**4 + d**2 + 4*d + 1/40*d**6 - 1/2*d**3 + 1/20*d**5 + 0. Let k(s) be the first derivative of f(s). Factor k(n).
3*(n - 1)*(n + 1)**2
Let y(i) be the third derivative of i**5/390 + 5*i**4/52 - 34*i**3/39 - 114*i**2. Factor y(k).
2*(k - 2)*(k + 17)/13
Let h(l) = -l + 2. Let v be h(-3). Let o(k) = -29*k**3 - k**2 + 16*k - 8. Let f(s) = -30*s**3 + 16*s - 9. Let q(z) = v*o(z) - 4*f(z). Factor q(x).
-(x + 1)*(5*x - 2)**2
Let h(f) be the third derivative of -f**7/210 + f**5/20 - f**4/12 + 73*f**2. Factor h(g).
-g*(g - 1)**2*(g + 2)
Let q(c) = c + 9*c - 18*c - 5 + c. Let v be q(-1). Suppose -3/4*m**4 - 1/4*m**5 + 0 - 3/4*m**3 - 1/4*m**v + 0*m = 0. Calculate m.
-1, 0
Suppose -4*a - f - 2*f - 34 = 0, 0 = -4*a - 5*f - 30. Let r = a + 14. Let 0 - 1 + r + h**2 + 6*h + 2*h**2 = 0. What is h?
-1
Suppose 1/5*x**3 + 6/5 + 1/5*x**4 - 7/5*x**2 - 1/5*x = 0. What is x?
-3, -1, 1, 2
Let x(g) = -g**3 - g**2 - g. Let v(h) = 160*h**4 + 366*h**3 + 248*h**2 + 22*h - 18. Let l(d) = v(d) - 2*x(d). Suppose l(s) = 0. Calculate s.
-1, -3/4, 1/5
Suppose -x - 4*t + 2 = -7*t, -5*t = 4*x - 25. Suppose 9*w = -x + 23. Factor 4/3 + 2/3*j**3 + 0*j**2 - w*j.
2*(j - 1)**2*(j + 2)/3
Suppose 4*q - 2*o = -24, -2*q + 3*o - 12 = o. Let x be (12/(-15))/(q/15). Factor 2*f + 0*f**3 - 2*f**3 - f**2 - f**2 + x*f.
-2*f*(f - 1)*(f + 2)
Let b(g) be the second derivative of 1/54*g**4 - 5*g + 0 + 0*g**3 + 1/90*g**5 - 1/2*g**2. Let h(w) be the first derivative of b(w). Factor h(t).
2*t*(3*t + 2)/9
Let m(w) = -4*w**4 + 25*w**3 + 60*w**2 - 16*w - 2. Let z(t) = t**2 - 1. Let c(h) = 3*m(h) - 6*z(h). Factor c(b).
-3*b*(b - 8)*(b + 2)*(4*b - 1)
Let h(b) = -b**2 - 38*b - 192. Let j be h(-32). Solve 1/4*k**3 + j + 0*k + 1/4*k**4 - 1/2*k**2 = 0 for k.
-2, 0, 1
Let c(n) be the third derivative of -1/150*n**5 + 0*n**3 + 0 + 7*n**2 - 1/20*n**4 + 0*n. Suppose c(a) = 0. Calculate a.
-3, 0
Let z(d) = -d**3 - 2*d**2 + 2. Let g be z(-2). Let l = -3 + 7. Let c + 8*c**3 - 20*c**l + 2*c**4 + 7*c**2 + g*c**4 = 0. What is c?
-1/4, 0, 1
Let y(i) be the third derivative of -i**8/1344 + i**7/210 - i**6/160 - i**5/60 + i**4/24 - 2*i**2 + 115. Suppose y(d) = 0. What is d?
-1, 0, 1, 2
Suppose