or q(p).
3*(p - 39)*(5*p - 2)
Let t = 206 - 121. Let k = t + -83. Factor 0*b**k + 2/7*b**4 + 0 - 2/7*b**3 + 0*b.
2*b**3*(b - 1)/7
Let b(h) be the second derivative of h**4/42 + 16*h. Suppose b(u) = 0. Calculate u.
0
Let n(f) be the first derivative of -f**6/3 - 2*f**5/5 + 3*f**4/2 + 10*f**3/3 + 2*f**2 + 86. Determine l so that n(l) = 0.
-1, 0, 2
Let r = -11 + 17. Factor 13*d - 36 + 9*d + r*d**3 + 32*d**2 + 17*d - 9*d.
2*(d + 3)**2*(3*d - 2)
Suppose 0 = -2*m + q + 1, -73*q + 67*q = 5*m - 28. Find p such that 6/7*p - 4/7 - 2/7*p**3 + 0*p**m = 0.
-2, 1
Find d such that -15*d**4 + 200*d + 47*d**3 + 218*d**3 + 158*d**2 + 532*d**2 = 0.
-2, -1/3, 0, 20
Let i(x) = -x**2. Let s = 35 + -36. Let j(g) = -g**2 - 4*g + 2. Let q(t) = s*j(t) + 3*i(t). Find u, given that q(u) = 0.
1
Factor 8/15*k**2 - 2/15*k - 8/15 + 2/15*k**3.
2*(k - 1)*(k + 1)*(k + 4)/15
Let t(a) be the second derivative of -1/10*a**6 + 3/4*a**4 + 0 + 0*a**2 + 0*a**5 - a**3 + 6*a. Factor t(q).
-3*q*(q - 1)**2*(q + 2)
Let t(a) be the first derivative of a**6/6 - 6*a**4 + 64*a**3/3 - 24*a**2 + 222. Suppose t(j) = 0. Calculate j.
-6, 0, 2
Let g(n) = n**3 - 40*n**2 + 72*n + 152. Let d be g(38). Determine a so that -8/5*a**2 - 2*a**4 + 0 + d*a - 16/5*a**3 - 2/5*a**5 = 0.
-2, -1, 0
Let o(g) = -g**3 + 10*g**2 - 8*g - 3. Let q be o(9). Let f be q*2/252*6. Suppose -4/7*s + 0 + f*s**3 + 2/7*s**2 = 0. What is s?
-2, 0, 1
Let u be 584/840 - 9/15. Let x(y) be the first derivative of -2/7*y - 2/7*y**2 - u*y**3 + 9. Factor x(g).
-2*(g + 1)**2/7
Let r(a) be the second derivative of 2*a**4 - 2*a**3/3 - 10*a**2 + 34*a + 2. Find u, given that r(u) = 0.
-5/6, 1
Let s(f) = -f + 25. Let b be s(25). Let h(u) be the first derivative of b*u**2 - 1/12*u**3 - 1/20*u**5 - 1/8*u**4 + 0*u - 1. Factor h(j).
-j**2*(j + 1)**2/4
Let i(v) be the third derivative of -v**8/70560 - v**7/17640 - v**5/60 + 23*v**2. Let q(y) be the third derivative of i(y). Factor q(c).
-2*c*(c + 1)/7
Suppose 142 + 68 = -5*w. Let a = w + 47. Factor 3/7*s**a + 0*s + 0 + 9/7*s**3 + 3/7*s**2 + 9/7*s**4.
3*s**2*(s + 1)**3/7
Let w(t) = 8*t**2 + 2*t - 103. Let q(u) = -39*u**2 - 15*u + 516. Let j(m) = 5*q(m) + 24*w(m). Factor j(a).
-3*(a - 3)*(a + 12)
Let f(c) = 54*c**2 - 6*c - 22. Let x be f(-5). Factor -1358 - 6*b**3 + 11*b**2 - b + 3*b + x.
-b*(b - 2)*(6*b + 1)
Let h(p) be the second derivative of -1/2*p**3 + 2*p - 1/4*p**4 + 0 + 3*p**2. Suppose h(i) = 0. Calculate i.
-2, 1
Let d be ((-250)/15)/((-1)/9). Let l = 603/4 - d. Suppose 0 - 3/2*c**3 + 0*c - l*c**2 = 0. What is c?
-1/2, 0
Let u(f) = -6*f**2 - 24*f - 29. Let o be (-2)/(-5) - (-726)/10. Let q(p) = -15*p**2 - 21*p - 39*p - o + 1. Let y(x) = 5*q(x) - 12*u(x). Factor y(b).
-3*(b + 2)**2
Let f(u) = 5*u**4 - 5*u**2 - 12*u - 6. Let m(w) = -4*w**4 - w**3 + 5*w**2 + 12*w + 5. Let c(r) = -5*f(r) - 6*m(r). Determine v so that c(v) = 0.
-1, 0, 3, 4
Let g(t) be the first derivative of 61*t**3/3 + 44*t**2 + 16*t - 38. Let c(k) = 11*k**2 - 41*k**2 - 48*k - 8 + 4*k. Let l(f) = 11*c(f) + 6*g(f). Solve l(v) = 0.
-1, -2/9
Let x be ((-24)/36)/(4/18). Let a = x + 5. Suppose -b - 16*b**a + 7*b - 12*b**3 - 2 + 6*b + 18*b**4 = 0. What is b?
-1, 1/3, 1
Suppose z - 4*z - 3 = 3*f, z = 2*f + 11. Factor 6*w**2 - 28*w**2 + 7*w**2 + 18*w + 3*w**z.
3*w*(w - 3)*(w - 2)
Suppose 3*v + 2*z - 48 = 3*z, 0 = 3*z - 9. Let w = 19 - v. Factor 2*k + 1 - 2 + 51*k**w - 52*k**2.
-(k - 1)**2
Let w(q) be the first derivative of -q**6/540 - q**5/45 + 16*q**3 - 7. Let k(f) be the third derivative of w(f). Factor k(m).
-2*m*(m + 4)/3
Suppose -32535*x**2 + 5000*x**5 - 300*x - 349 + 25500*x**4 - 866 + 11640*x + 19350*x**3 = 0. Calculate x.
-3, 3/10
Let p = -35753/7 - -5123. Factor 20/7*y**4 + 2/7*y**5 + p*y**2 + 0 + 72/7*y**3 + 54/7*y.
2*y*(y + 1)*(y + 3)**3/7
Let f(r) be the third derivative of -r**5/100 + 17*r**4/8 - 42*r**3/5 + 438*r**2. Factor f(l).
-3*(l - 84)*(l - 1)/5
Let j = 32 + -30. Let l be 4/(-6) + (-14)/(-3). Factor -32 - 4*b + j*b**4 + 0*b**4 + l*b**3 + 30.
2*(b - 1)*(b + 1)**3
Let w(p) be the first derivative of -1/3*p**3 - 7/2*p**2 + 4 - 6*p. Let w(i) = 0. Calculate i.
-6, -1
Let u(d) = -d**3 + 4*d**2 - 2*d + 2. Let v be u(3). Suppose -5*i + 20 = 0, 0 = -5*h + v*i - 0*i. Factor -8/3*c**h - 10/3*c**3 + 0*c + 0 - 2/3*c**2.
-2*c**2*(c + 1)*(4*c + 1)/3
Let g(o) be the second derivative of 1/2*o**4 + 2*o - 9/10*o**6 + 0*o**3 + 0 + 21/20*o**5 + 0*o**2. Factor g(n).
-3*n**2*(n - 1)*(9*n + 2)
Let j(w) = w**4 + w**3 - w + 1. Let o(a) = 5*a**5 - 60*a**4 + 55*a**3 + 40*a**2 - 60*a - 20. Let l(p) = -20*j(p) - o(p). Let l(g) = 0. What is g?
-1, 0, 1, 4
Let u(r) = -3*r - 54. Let y = 34 + -52. Let s be u(y). Factor 7*b**2 - b + s - 49/4*b**3.
-b*(7*b - 2)**2/4
Factor o**2 - 7*o**2 - 2*o**2 - 90 + 55*o + 5*o**2 - 2*o**2.
-5*(o - 9)*(o - 2)
Suppose 3*j + 64 = 67. Let l(n) = n**4 - n**3 + n**2. Let b(t) = -4*t**4 - 4*t**3 + 6*t. Let k(r) = j*b(r) + 2*l(r). Factor k(z).
-2*z*(z - 1)*(z + 1)*(z + 3)
Let w(u) be the first derivative of 2*u**5/65 - 11*u**4/26 - 2*u**3/39 + 11*u**2/13 - 679. What is z in w(z) = 0?
-1, 0, 1, 11
Let q(v) be the second derivative of -1/100*v**5 + 18*v + 0 - 1/5*v**2 + 1/30*v**4 + 1/30*v**3. Find n such that q(n) = 0.
-1, 1, 2
Let t be 7/3 + -6*4/(-36). Let s(p) be the third derivative of 6*p**2 + 1/24*p**4 + 1/120*p**5 + 0*p + 0 + 1/12*p**t. Factor s(c).
(c + 1)**2/2
Let p be (2091/335 - -1)/(2268/180). Let i = p - 2/603. Factor 0*s - 2/7*s**3 + 0 + i*s**2.
-2*s**2*(s - 2)/7
Factor -7*q - 3*q**3 + 27 - 3*q - 10*q - 25*q + 21*q**2.
-3*(q - 3)**2*(q - 1)
Let c(d) be the second derivative of 125*d**7/98 + 15*d**6/2 + 153*d**5/14 + 47*d**4/7 + 12*d**3/7 - 341*d. Factor c(s).
3*s*(s + 3)*(5*s + 2)**3/7
Let o(r) be the first derivative of 4*r**3/3 - 1108*r**2 + 306916*r + 926. What is j in o(j) = 0?
277
Let v(k) be the second derivative of k**4/3 - 34*k**3/3 + 32*k**2 + 267*k - 1. Find m, given that v(m) = 0.
1, 16
Suppose 5*y = 5*k - 3*k, -5*k = -4*y - 17. Let r(n) be the third derivative of 0*n**4 + 0 + 0*n + 1/2*n**3 - 1/80*n**5 - 12*n**y. Factor r(v).
-3*(v - 2)*(v + 2)/4
Factor -34/3*q + 289/3 + 1/3*q**2.
(q - 17)**2/3
Let b(d) be the second derivative of -68921*d**5/40 + 1681*d**4/8 - 41*d**3/4 + d**2/4 - 2*d - 7. What is r in b(r) = 0?
1/41
Let a = 2 + -4. Let d(w) be the first derivative of -w**3/3 - 3*w**2/2 - 2*w - 17. Let i(l) = l**2 - 1. Let u(f) = a*i(f) + d(f). Factor u(y).
-3*y*(y + 1)
Let z be 0*(1*2/(-3) - -1). Find g such that 1/5*g**3 - 1/5*g**5 + 0*g + 0*g**2 + z + 0*g**4 = 0.
-1, 0, 1
Let x(i) be the third derivative of -i**8/42 - 4*i**7/21 + 23*i**6/60 - i**5/5 - 84*i**2 - 3*i. Determine m, given that x(m) = 0.
-6, 0, 1/2
Suppose 78*m - 32 - 39 + 29 - 3*m**2 - 33 = 0. What is m?
1, 25
Suppose 0 = 2*a + 2, -3*j + 2*j = a + 12. Let z be 4/(-12)*(0 + j) + 0. Let 11*i**4 - 4/3*i + z*i**3 - 8/3*i**2 + 0 + 6*i**5 = 0. Calculate i.
-1, -2/3, 0, 1/2
Let y(q) be the third derivative of 0 + 3/10*q**3 + 0*q + 24*q**2 + 4/75*q**5 - 1/5*q**4. What is x in y(x) = 0?
3/4
Let j(w) be the second derivative of w**5/10 - w**4/3 - 3*w**3 + 18*w**2 + 454*w. Determine l, given that j(l) = 0.
-3, 2, 3
Let l(o) be the third derivative of o**8/2688 + 23*o**7/1680 + 167*o**6/960 + 89*o**5/96 + 25*o**4/16 - 11*o**2 - 13*o. Solve l(f) = 0 for f.
-12, -5, -1, 0
Let v(h) = -h**3 + 6*h**2 + 4*h - 5. Let s be v(5). Let r be 8/6*(52/s + -1). Factor -r*a - 4/5 + 2/5*a**2.
2*(a - 2)*(a + 1)/5
Let j(p) be the second derivative of -1/120*p**4 + 0*p**3 - 1/420*p**7 + 8*p - 1/100*p**6 + 0 - 3/200*p**5 + 0*p**2. Factor j(o).
-o**2*(o + 1)**3/10
Let m = -43 - -41. Let b be (2 - (1 - m))*5/(-35). Determine y so that 20/7*y + 18/7*y**2 + y**3 + 8/7 + b*y**4 = 0.
-2, -1
Let x(f) = -3257*f - 6512. Let v be x(-2). Let -4/3*b + 1/3*b**4 + 1/3 + 2*b**v - 4/3*b**3 = 0. What is b?
1
Let o(k) be the second derivative of k**7/77 - 6*k**5/55 + k**4/11 + 3*k**3/11 - 6*k**2/11 - 59*k. Suppose o(d) = 0. What is d?
-2, -1, 1
Determine z, given that 341*z**2 - 30*z**4 + 45*z + 377*z**2 + 60*z - 5*z**5 + 60*z**3 - 528*z**2 = 0.
-7, -1, 0, 3
Let o = 60133/16044 - -8/4011. Factor -5/4*c**3 + o*c - 45/2 + 5*c**2.
-5*(c - 3)**2*(c + 2)/4
Let i be (0/25)/(3/(-9)*-3). Let u = 2/3 + i. Suppose 16/3 - 4*t**4 - u*t**5 + 8*t - 22/3*t**3 - 4/3*t**2 = 0. What is t?
-2, -