5*w + 4/5*w**3 + 0.
-2*w*(w - 4)*(w - 1)**2/15
Suppose -20 = -b - 0*b. Suppose 0 = -49*c + 45*c + b. Factor 94*x**3 + 8*x**4 + c*x**5 - 40*x**3 - 49*x**3 + 2*x**4.
5*x**3*(x + 1)**2
Suppose -w - 2 - 11 = -5*l, 0 = -2*w + 5*l - 11. Suppose -2*i = w*i. Find f, given that 0*f**3 - 2/3*f**2 + 1/3*f - 1/3*f**5 + i + 2/3*f**4 = 0.
-1, 0, 1
Let h = 1707 + -1705. Let b(r) be the second derivative of -13*r + 5/48*r**4 + 0*r**h - 1/8*r**3 + 0. Factor b(t).
t*(5*t - 3)/4
Solve 0 + 3/8*u**5 + 255/8*u**2 - 27/8*u**4 - 225/4*u + 27/8*u**3 = 0 for u.
-3, 0, 2, 5
Factor 0*q - 26*q**2 + 0 - 1/2*q**4 - 17/2*q**3.
-q**2*(q + 4)*(q + 13)/2
Let h = 3 + -1. Factor 10*d**5 - d**3 + 1 + 6*d - 12*d**5 + 1 - 6*d**4 - 3*d**3 + 4*d**h.
-2*(d - 1)*(d + 1)**4
Suppose 13 - 9 = -i. Let f be (2/i)/((-9)/18). Solve -15*s**3 + 3*s**3 - f + 27*s**2 + 4 - 18*s = 0 for s.
1/4, 1
Suppose 12*w + 34*w - 22*w - 72 = 0. Factor -18/5*n**w + 4/5*n - 14/5*n**2 + 0.
-2*n*(n + 1)*(9*n - 2)/5
Let g(l) be the first derivative of 1/2*l**2 + 0*l**3 + 1/36*l**4 + 0*l + 5 - 1/90*l**5. Let q(w) be the second derivative of g(w). Let q(y) = 0. What is y?
0, 1
Let u(d) = -9*d**2 - 38*d - 4. Let s(l) = 26*l**2 + 112*l + 11. Let w(g) = -4*s(g) - 11*u(g). Factor w(m).
-5*m*(m + 6)
Let r(n) be the first derivative of n**4/14 + 25*n**3/21 - 73*n**2/14 + 30*n/7 - 47. Find y such that r(y) = 0.
-15, 1/2, 2
Suppose -19*c = -18*c - 5, -z - 20 = -4*c. Factor z*l - 1/2*l**2 + 2.
-(l - 2)*(l + 2)/2
Let u = 1027/2429 - -2/347. Let a be (-2)/(-12) + (-29)/(-42). Factor -u*i - a*i**2 + 6/7 + 3/7*i**3.
3*(i - 2)*(i - 1)*(i + 1)/7
Let u(k) be the second derivative of 5*k**4/12 - 10*k**2 - 122*k. Factor u(t).
5*(t - 2)*(t + 2)
Let y(b) = 25 + 17*b**2 - 74*b**3 - 6*b**2 + 2*b + 143*b**3 - 68*b**3. Let f be y(-11). Factor -8/9*q**5 - 2/9*q**2 - 2*q**f - 22/9*q**4 + 0 + 2/9*q.
-2*q*(q + 1)**3*(4*q - 1)/9
Let r be -12 + 10 + 30/5. Factor 0 + 1/3*p + 2/3*p**3 + 5/6*p**2 + 1/6*p**r.
p*(p + 1)**2*(p + 2)/6
Let i(l) be the second derivative of -l**5/5 + l**4/3 + 8*l**3/3 - 8*l**2 - 7*l + 5. Factor i(x).
-4*(x - 2)*(x - 1)*(x + 2)
Factor -15*v - 3/4*v**2 - 75.
-3*(v + 10)**2/4
Let v be (-8)/7 - (5 + 18 + -28). Find q, given that v*q + 9/7*q**2 + 27/7 + 1/7*q**3 = 0.
-3
Let u(q) be the second derivative of q**6/50 - 9*q**5/100 + q**4/20 + 3*q**3/10 - 3*q**2/5 + 81*q. Let u(j) = 0. Calculate j.
-1, 1, 2
What is r in -2/7*r**5 + 0*r**2 + 6/7*r**4 + 0*r + 8*r**3 + 0 = 0?
-4, 0, 7
Let a(f) be the second derivative of 13*f - f**4 - 1/5*f**6 + 0 + 2/3*f**3 + 1/42*f**7 + 13/20*f**5 + 0*f**2. Suppose a(m) = 0. Calculate m.
0, 1, 2
Let x(s) be the third derivative of -s**9/1512 + s**7/420 - 3*s**3/2 + 16*s**2. Let g(i) be the first derivative of x(i). Let g(a) = 0. Calculate a.
-1, 0, 1
Let p(c) = -c + 0*c + 2*c**5 - 4*c**2 - 2*c**4 - 4*c**3 - c. Let j(a) = -8*a**4 + 5*a - a - 5*a + a**3 + 7*a**4. Let v(w) = -2*j(w) + p(w). Factor v(x).
2*x**2*(x - 2)*(x + 1)**2
Let t(l) = -5*l**3 - 120*l**2 + 5*l + 120. Let z(c) = -5*c**3 - 120*c**2 + 5*c + 120. Let a(n) = -5*t(n) + 4*z(n). Determine h, given that a(h) = 0.
-24, -1, 1
Let g(o) = -o**3 - o**2 + o. Let s(f) = 4*f**3 - 28*f**2 + 8*f. Let m(d) = -16*g(d) + s(d). Determine r, given that m(r) = 0.
-2/5, 0, 1
Let h = 32/83 + 89/415. Determine q, given that 1/5*q**5 + 0*q - 1/5*q**2 + 3/5*q**3 - h*q**4 + 0 = 0.
0, 1
Let h(q) be the second derivative of q**4/48 + 3*q**3/4 + 17*q**2/8 - 22*q. Determine r, given that h(r) = 0.
-17, -1
Factor -40 - u**2 + 8*u**2 - 4*u**2 + 44*u - 7*u**2.
-4*(u - 10)*(u - 1)
Let r be (6/14)/(458/3206). Suppose 0*c**r + 0 - 4/17*c**4 + 0*c**2 + 2/17*c**5 + 0*c = 0. Calculate c.
0, 2
Let g = 542/9 - 60. Let n = -201 - -203. Suppose 2/3 + g*f**n + 8/9*f = 0. Calculate f.
-3, -1
Factor -5 - 3*t**3 - 1 + 3 + 4*t**3 - 13*t - 9.
(t - 4)*(t + 1)*(t + 3)
Let o(n) = n**4 + n**3 + 5*n**2 + 7*n - 6. Let m(t) = t**4 + 2*t**3 + 6*t**2 + 8*t - 7. Let k(u) = 4*m(u) - 5*o(u). Find x, given that k(x) = 0.
-1, 1, 2
Let m(g) be the second derivative of -g**7/1260 + g**5/60 - 23*g**4/12 - 8*g. Let i(w) be the third derivative of m(w). Factor i(b).
-2*(b - 1)*(b + 1)
Suppose 0 = -5*r - 4*l - 700, -r = -5*r - 3*l - 561. Let j be (4*(-6)/r)/(2/9). Factor 0 + 1/2*n - 3/4*n**3 - 3/4*n**5 - 7/4*n**4 + j*n**2.
-n*(n + 1)**3*(3*n - 2)/4
Let m(x) = 5*x**2 - 14*x - 25. Let v(z) = -16*z**2 + 40*z + 76. Let c(d) = -10*m(d) - 3*v(d). Solve c(h) = 0 for h.
-1, 11
Suppose 32 = -117*v + 125*v. Let w(k) be the third derivative of -1/600*k**6 + 1/300*k**5 + 1/60*k**v + 4*k**2 + 0*k**3 + 0 + 0*k. Factor w(l).
-l*(l - 2)*(l + 1)/5
Suppose 3*c + 217 = 4*d + 192, 2*c = 2*d - 14. Suppose 4/7*i**3 + 0*i**d + 0 + 0*i**2 - 2/7*i - 2/7*i**5 = 0. What is i?
-1, 0, 1
Let t(g) be the second derivative of g**5/10 - 8*g**4/3 - 41*g**3 - 198*g**2 + 6*g + 33. Solve t(z) = 0.
-3, 22
Let -455*q + 2871*q**2 + 80 - 484*q**3 + 50*q - 362*q - 129*q - 275*q**2 = 0. What is q?
2/11, 5
Suppose -785*o**3 + 782*o**3 + 155*o - 675 + 87*o**2 - 740*o = 0. What is o?
-1, 15
Let u(k) = -k**3 - 5*k**2 - k - 3. Suppose 10 = 14*c - 16*c. Let d be u(c). Factor -4*m**d + 2 - 2 - 4*m**3 + 0.
-4*m**2*(m + 1)
Let a(x) = -12*x**3 - 11*x**2 + 7*x + 6. Let l(o) = -26*o + o**2 + o**3 - 20*o + 46*o. Let n(i) = -2*a(i) - 22*l(i). Factor n(g).
2*(g - 3)*(g + 1)*(g + 2)
Factor -2*l + 1/3*l**3 - 8/3 + l**2.
(l - 2)*(l + 1)*(l + 4)/3
Let w(x) be the second derivative of -3*x**5/20 + 3*x**4/4 - 113*x - 2. Let w(p) = 0. Calculate p.
0, 3
Let y(t) be the third derivative of -25*t**8/448 + 11*t**7/14 - 339*t**6/160 + 43*t**5/20 - 7*t**4/8 - 355*t**2. Suppose y(m) = 0. What is m?
0, 2/5, 1, 7
Find a such that 61*a + 75*a - 5*a**2 - 145 - 35*a**2 + 2*a**3 + 17 = 0.
2, 16
Suppose -35 = -6*i + 43. Suppose 12*s = i*s. Factor s*g + 2/5*g**3 - 2/5*g**2 + 0.
2*g**2*(g - 1)/5
Let s(l) be the third derivative of 7*l**6/180 - 37*l**5/60 + 5*l**4/6 - 19*l**3/6 + 22*l**2. Let h(d) be the first derivative of s(d). What is j in h(j) = 0?
2/7, 5
Factor 5476*m**2 - 12*m**4 - 36*m**3 - 32*m**3 - 5516*m**2.
-4*m**2*(m + 5)*(3*m + 2)
Let j(r) be the third derivative of -5/144*r**6 - 1/36*r**5 + 0*r + 0 - 5/2016*r**8 + 19*r**2 + 0*r**4 - 1/63*r**7 + 0*r**3. Find f such that j(f) = 0.
-2, -1, 0
Let g be (38/(-20))/(20/40) + 4. What is a in 1/5*a - 2/5*a**2 + g*a**3 + 0 = 0?
0, 1
Let c be (-4448)/(-5540)*10/4 - 2. Let w = 267/1385 + c. Factor w + 2/5*q + 1/5*q**2.
(q + 1)**2/5
Let q(d) be the third derivative of d**6/1620 - 2*d**5/135 + 4*d**4/27 - 23*d**3/6 + 16*d**2. Let c(l) be the first derivative of q(l). Let c(t) = 0. What is t?
4
Let w(t) = 2*t - 4. Let g be w(12). Suppose -2*a = -g + 14. What is f in 3*f**a + 3*f**4 + f**5 - 2*f**3 - 89*f - 3*f**2 + 87*f = 0?
-2, -1, 0, 1
Let j(d) be the first derivative of -21*d**5/100 + d**4/60 + 8*d**3/15 + 2*d**2/5 - 21*d - 13. Let n(f) be the first derivative of j(f). Factor n(x).
-(x - 1)*(3*x + 2)*(7*x + 2)/5
Let r(g) be the third derivative of -g**7/1365 + 19*g**6/65 - 491*g**5/15 - 2185*g**4/13 - 13225*g**3/39 + 186*g**2 + 1. Let r(j) = 0. What is j?
-1, 115
Let a(v) be the third derivative of v**5/9 - 116*v**4/9 + 184*v**3/9 + 260*v**2. Determine q so that a(q) = 0.
2/5, 46
Suppose -24 + 129 = 35*a. Let p(c) be the second derivative of -1/20*c**4 - 1/5*c**a + 0 + 0*c**2 - c. Factor p(u).
-3*u*(u + 2)/5
Let n be ((-228)/(-171))/(8/18). Let m(w) be the first derivative of 0*w + 2/15*w**n - 1/20*w**4 - 1/10*w**2 - 6. Solve m(g) = 0 for g.
0, 1
Suppose 27 = 7*x + 6. Let a(d) be the third derivative of 0*d**6 + 0*d**4 + 1/210*d**7 + 0 + 3*d**2 + 0*d + 0*d**x - 1/60*d**5. Factor a(y).
y**2*(y - 1)*(y + 1)
Let q = -208 - -69889/336. Let o(x) be the third derivative of 1/60*x**6 - 1/6*x**3 - 1/30*x**5 + 6*x**2 + 1/70*x**7 + 0*x + q*x**8 + 0 - 1/8*x**4. Factor o(h).
(h - 1)*(h + 1)**4
Let v be 20/(-3)*6/14 + 3. Factor -v + 2/7*r - 1/7*r**2.
-(r - 1)**2/7
Let t(a) be the second derivative of a**6/40 + a**5/20 - a**2/2 - 19*a. Let w(s) be the first derivative of t(s). Factor w(n).
3*n**2*(n + 1)
Let v be -5*(-2)/125*(34 - 4) + 0. What is i in v*i - 4/5*i**2 - 8/5 = 0?
1, 2
Let o(f) = f**3 + 4*f**2 - 7*f - 6. Let y be o(-5). Suppose 35 - 35 = -y*b. Determine x so that b*x - 2/3*x**2 + 0 + 2/3*x**3 = 0.
0, 1
Find r, given that -41*r**3