(o) be the first derivative of 4*o**5/35 - 20*o**4/7 + 148*o**3/21 - 36*o**2/7 + 441. Factor w(x).
4*x*(x - 18)*(x - 1)**2/7
Factor -9/7*a + 3/7*a**2 - 54/7.
3*(a - 6)*(a + 3)/7
Suppose 8 = 3*u - 7. Solve d**5 - 7*d - u*d + 16*d - 5*d**3 = 0.
-2, -1, 0, 1, 2
Let s be (-3 - 115/(-35)) + 48/28. Let g = -3 - -9. Solve -3*q**s - 9*q**3 + 0*q**5 - 3*q**5 - g*q**4 - 3*q**4 + 0*q**2 = 0.
-1, 0
Let w be (10/8)/((-93)/12 + 8). Factor -2 - w*i**4 - 3 - 10*i + 5 + 15*i**2.
-5*i*(i - 1)**2*(i + 2)
Let j(f) be the second derivative of -f**6/200 + 3*f**5/100 - 2*f**3/5 - 28*f**2 - 26*f. Let l(z) be the first derivative of j(z). What is o in l(o) = 0?
-1, 2
Let d(a) be the first derivative of 2*a**6/21 - 16*a**5/35 - 20*a**4/7 - 40*a**3/21 + 38*a**2/7 + 8*a + 22. Suppose d(p) = 0. What is p?
-2, -1, 1, 7
Let w(t) = -3*t**3 - 6*t**2 - 15*t + 2. Let z(o) = -2*o**3 - 2*o**2 + 1. Let u(s) = -2*w(s) + 4*z(s). Factor u(m).
-2*m*(m - 5)*(m + 3)
Let b(j) be the third derivative of -7*j**2 + 0*j + 1/240*j**6 + 0*j**4 + 0*j**3 + 1/240*j**5 + 0. Factor b(c).
c**2*(2*c + 1)/4
Let l(a) be the third derivative of -a**5/20 - a**4/6 - 6*a**2. Let r(t) = 8*t**2 + 12*t - 1. Let z(d) = -11*l(d) - 4*r(d). Solve z(q) = 0.
2
Let y(g) be the second derivative of 1/14*g**7 + 0*g**3 - 3/5*g**6 + 0 + 0*g**4 + 11*g + 0*g**2 + 27/20*g**5. Let y(l) = 0. Calculate l.
0, 3
Suppose j + 40 = 5*j + 3*w, 50 = 5*j + w. Let d be (8/20)/(2/j). Solve -x**3 + 4*x**2 - 2 + x - 2*x**d + 0 = 0.
-1, 1, 2
Suppose 78*b - 987*b - 386*b - 5*b**2 + 1300 = 0. Calculate b.
-260, 1
Let l(t) be the third derivative of -11*t**2 + 1/144*t**4 + 0 + 0*t + 1/18*t**3 - 1/360*t**5. Factor l(o).
-(o - 2)*(o + 1)/6
Factor 0*f - 4/3*f**3 + 0*f**2 - 4/3*f**4 + 0.
-4*f**3*(f + 1)/3
Let f(b) be the third derivative of -1/720*b**6 + 1/360*b**5 + 4*b + 8*b**2 + 0*b**3 + 0 + 0*b**4. Solve f(i) = 0 for i.
0, 1
Find u such that 5/2*u - 1/2*u**2 + 0 = 0.
0, 5
Let f(k) be the first derivative of -2*k**4/3 - 38*k**3/9 + 8*k**2/3 + 10*k + 13. Factor f(d).
-2*(d - 1)*(d + 5)*(4*d + 3)/3
Let g = -15 + 3. Let s be -1 + g/16*-4. Factor -4*v**4 + 85*v**s - v**4 + 10*v**3 - 90*v**2.
-5*v**2*(v - 1)**2
Let h(b) be the second derivative of -56*b**6/15 - 197*b**5/5 + 73*b**4 + 44*b**3/3 - 32*b**2 - 38*b. Suppose h(f) = 0. Calculate f.
-8, -2/7, 1/4, 1
Let t = 7 + -5. Determine c so that -2 + 2 - 4*c**3 + 4*c + 4*c**t - 4 = 0.
-1, 1
Let t(g) = -g**2 + g + 5. Let o be t(0). Factor 4*r**2 - 3*r - 11 - o*r - 5 + 4.
4*(r - 3)*(r + 1)
Suppose f + 46 - 65 = 0. Factor -4*a**3 + a - 12*a**2 - 11 + f - a**4 + 5*a**4 + 3*a.
4*(a - 2)*(a - 1)*(a + 1)**2
Let t be 3*(-58)/(-45) + 20/150. Let c(h) be the third derivative of -1/20*h**5 + 0*h**3 + 0*h**t + 1/40*h**6 + 4*h**2 + 0 + 0*h. Factor c(b).
3*b**2*(b - 1)
Let k = 22763/2 - 11380. Factor -k*c**4 + 0*c**2 + 0 - c**3 - 1/2*c**5 + 0*c.
-c**3*(c + 1)*(c + 2)/2
Let n(d) be the first derivative of -d**6/6 - 168*d**5/5 - 1764*d**4 - 981. Suppose n(f) = 0. Calculate f.
-84, 0
Let p be ((12 - 6) + -6)/(-3 - -1). Let f be (-1 + 1)/((-4)/(-2)). Determine n so that 0 - 4/7*n**3 + 2/7*n + 2/7*n**5 + p*n**2 + f*n**4 = 0.
-1, 0, 1
Let y(r) = 25*r**2 + 85*r - 195. Let m(f) = -4*f**2 + f - 1. Let j(q) = 5*m(q) + y(q). Factor j(g).
5*(g - 2)*(g + 20)
Let i(d) = d**4 - 15*d**3 - 16*d**2 + 3*d + 3. Let k(m) = -14*m**3 - 16*m**2 + 2*m + 2. Let n(y) = 4*i(y) - 6*k(y). Factor n(p).
4*p**2*(p + 2)*(p + 4)
Determine p, given that 958*p**4 + 4*p**2 - 959*p**4 - 4*p**2 + p**3 = 0.
0, 1
Let a(y) be the second derivative of -y**4/36 + 7*y**3/6 + 11*y**2/3 - 10*y + 3. Solve a(x) = 0 for x.
-1, 22
Let p(x) = -x**4 - x**3 - x + 1. Let h(m) be the first derivative of m**5 + m**4 - 2*m**3/3 + m**2 - 3*m + 3. Let d(l) = h(l) + 3*p(l). Factor d(r).
r*(r - 1)*(r + 1)*(2*r + 1)
Let z(b) = -b**2 + 24*b - 21. Let m be z(23). Let p(d) be the first derivative of 3/4*d**4 + 6 + 0*d + 3/2*d**m - 2*d**3. Determine a, given that p(a) = 0.
0, 1
Let h(w) = 4*w**2 + 4. Let r be h(2). Let z be 5/r - 1030/(-8). Factor -129*q + z*q - q**4.
-q**4
Let z(h) = -2*h - 5. Let r be z(-4). Suppose 5*t**2 - t**2 - 2*t**r + 3*t**3 - 2*t**2 = 0. What is t?
-2, 0
Let w be (-4 + (-10)/(-4))*8/(-3). Let i = 21/5 - w. Determine p so that 0 + i*p**2 + 1/5*p = 0.
-1, 0
Let h = -40 + 36. Let y(x) = x**3 - x**2 - 1. Let b(r) = 5*r**3 - 8*r**2 + 4*r - 4. Let l(s) = h*y(s) + b(s). Factor l(u).
u*(u - 2)**2
Factor 4*c**3 + 10*c**2 + 2*c**2 + 144 - 128*c + 8*c**2.
4*(c - 2)**2*(c + 9)
Suppose -q + 4*q - 44 = -4*j, -3*j - 92 = -4*q. Determine c so that 8*c**2 - 25*c + q - 21*c**2 + 18*c**2 = 0.
1, 4
Let h(x) be the second derivative of -x**5/80 + 5*x**4/8 + 31*x**3/24 + 827*x. Determine s, given that h(s) = 0.
-1, 0, 31
Factor 12/7 - 2/7*c**3 - 22/7*c + 12/7*c**2.
-2*(c - 3)*(c - 2)*(c - 1)/7
Let h(u) be the first derivative of -u**5/15 - 5*u**4/4 + 16*u**3/9 - 147. Factor h(q).
-q**2*(q - 1)*(q + 16)/3
Suppose -26 = -3*x - 5. Suppose x*j - 6*j = 0. Determine t so that -3*t - 15/2*t**5 + j + 33/2*t**2 - 63/2*t**3 + 51/2*t**4 = 0.
0, 2/5, 1
Let q(m) = -3*m - 3. Let s be q(-2). Let n be (-986)/(-255)*-3 + (10 - -2). Factor -2/5 + 2/5*x**s - n*x + 2/5*x**2.
2*(x - 1)*(x + 1)**2/5
Let b(q) = -6*q**3 - 2814*q**2 + 94323*q - 27. Let r(c) = c**3 + 402*c**2 - 13475*c + 4. Let i(a) = 4*b(a) + 27*r(a). Find f, given that i(f) = 0.
0, 67
Let f(s) be the third derivative of -9*s**6/40 + s**5 - 13*s**4/8 + s**3 + 50*s**2. Determine o, given that f(o) = 0.
2/9, 1
Let z(u) be the third derivative of 0*u + 5/56*u**4 + 0 + 1/140*u**5 + 0*u**3 - 53*u**2. Factor z(m).
3*m*(m + 5)/7
Suppose -3*k = -k + 4*s + 2, 4*s + 5 = -k. Suppose -2*c**2 + 3*c + 181*c**k - 7*c - 179*c**3 = 0. What is c?
-1, 0, 2
Factor -100*i**3 - 384*i**2 + 3309 + 6517 - 2*i**4 - 8092*i - 1248*i**2.
-2*(i - 1)*(i + 17)**3
Let a(w) = -1. Let q(s) = -s**2 + 4*s - 6. Suppose 19*d = 22*d - 9. Let n(y) = d*a(y) - q(y). Let n(x) = 0. Calculate x.
1, 3
Let a be 23/(414/120)*6/4. Suppose -10 + a = -10*m. What is h in 0*h - 1/4*h**5 + 1/4*h**2 + m + 1/4*h**3 - 1/4*h**4 = 0?
-1, 0, 1
Let w(k) be the second derivative of -k**5/20 - k**2/2 + 2*k. Let l(c) = -3*c**3 - 30*c**2 - 8*c + 4. Let x(g) = -l(g) - 4*w(g). Let x(j) = 0. Calculate j.
-4, -2/7, 0
Let j(f) be the first derivative of -2/5*f + 5 + 3/5*f**2 + 8/15*f**3. Determine u so that j(u) = 0.
-1, 1/4
Suppose 0 = 4*g + 5*o - 63, -5*o = -0*o + 25. Let m = 22 - g. Factor 3/5*w**3 + 0*w**2 - 3/5*w + m.
3*w*(w - 1)*(w + 1)/5
Let h(o) be the third derivative of -o**7/25200 - o**6/600 - 3*o**5/100 - o**4/8 - 19*o**2. Let w(n) be the second derivative of h(n). Solve w(b) = 0 for b.
-6
Let i(g) be the first derivative of 6 + 4*g + 7/40*g**5 + 0*g**2 - 5/24*g**4 - 1/6*g**3. Let q(p) be the first derivative of i(p). Factor q(x).
x*(x - 1)*(7*x + 2)/2
Let g(w) = -10*w - 40. Let x be 1/(-5) + (-38)/10. Let j be g(x). Factor -3*d**4 - 15/4*d**3 + 0*d + j - 3/4*d**5 - 3/2*d**2.
-3*d**2*(d + 1)**2*(d + 2)/4
Let o(d) = -6*d**3 + 9*d**2 - 6*d - 3. Let u(y) be the first derivative of -y - 1/4*y**4 + 0*y**2 + 2 + 0*y**3. Let b(x) = o(x) - 3*u(x). Solve b(m) = 0 for m.
0, 1, 2
Let p(x) be the third derivative of -x**6/40 + x**5/5 + 7*x**4/2 + 16*x**3 - 187*x**2. Factor p(q).
-3*(q - 8)*(q + 2)**2
Let c(k) be the first derivative of -k**5/5 - k**4/4 - k**2/2 - 13. Let o(l) = -4*l**4 + 2*l**3 + 7*l**2 - 8*l - 6. Let j(x) = 3*c(x) - o(x). Factor j(w).
(w - 6)*(w - 1)*(w + 1)**2
Let x(t) be the first derivative of -3*t**5/5 + 39*t**4/4 - 22*t**3 + 141. Factor x(w).
-3*w**2*(w - 11)*(w - 2)
Find n such that 0 + 6/5*n + 2/5*n**3 + 8/5*n**2 = 0.
-3, -1, 0
Let w = -2466 + 2469. Let j(s) be the second derivative of 0 - 2*s**w + 12*s**2 + 1/8*s**4 + 8*s. Factor j(f).
3*(f - 4)**2/2
Let p(u) = -3*u - 1. Let q be p(-2). Let d(h) = -533 + 18*h**2 + 533 - 13*h**2. Let l(a) = 9*a**2. Let b(i) = q*d(i) - 3*l(i). Suppose b(r) = 0. What is r?
0
Let y(v) be the first derivative of 5*v**4/4 - 260*v**3/3 + 1690*v**2 + 11. Determine k, given that y(k) = 0.
0, 26
Let -j**2 + 293 + 282 - 13*j - 587 = 0. Calculate j.
-12, -1
Let c be 740/720 + 3/((-54)/(-4)). Suppose c*g**2 + 0*g + 1/4*g**3 + 0 = 0. What is g?
-5, 0
Let r(t) be the first derivative of -t**6/39 - 2*t**5/65 + 5*t**4/13 - 16*t**3/39 - 595. Suppose r(l) = 