rst derivative of -1/24*z**4 + 1/36*z**6 + 0*z - 1/18*z**3 + 1/30*z**5 + 0*z**2 - 3. Factor x(k).
k**2*(k - 1)*(k + 1)**2/6
Let i be (2/(-9) + 23/1035)/(8/(-24)). Suppose i*u**3 + 3*u + 6/5 + 12/5*u**2 = 0. What is u?
-2, -1
Factor -117*f**2 + 130*f + 6*f**2 - 94*f + 117*f**3 + 3*f**5 - 78*f**4 + 33*f**4.
3*f*(f - 12)*(f - 1)**3
Let t(v) be the second derivative of v**5/45 - v**4 + 130*v**3/9 - 338*v**2/9 - 7*v + 6. Let t(h) = 0. Calculate h.
1, 13
Suppose -4*s + 2 = 5*a, 5*s + 1545 - 1566 = 3*a. Factor 0 - 1/2*o**5 - o**4 + 0*o**s + o**2 + 1/2*o.
-o*(o - 1)*(o + 1)**3/2
Let d(n) be the first derivative of 3/28*n**4 + 2/7*n**3 - 3/14*n**2 - 23 - 6/7*n. Factor d(t).
3*(t - 1)*(t + 1)*(t + 2)/7
Factor 3*w**3 - 3*w + 793 - 66*w**2 + 789 - 1516.
3*(w - 22)*(w - 1)*(w + 1)
Let y(s) be the first derivative of 9 + 2*s**2 + s**4 - 5*s**4 + 3*s**4. Find f, given that y(f) = 0.
-1, 0, 1
Let f be ((-6)/(-4) + -2)/(4/(-16)). Suppose 5*i - 19 = -5*s + 2*i, -4*s + 5 = -i. Determine b so that s*b**2 - f*b**2 - 50*b**4 - 4*b**2 + 54*b**4 = 0.
-1, 0, 1
Let i(h) be the second derivative of h**7/3360 + h**6/480 - h**4/6 + 7*h. Let q(r) be the third derivative of i(r). Solve q(x) = 0 for x.
-2, 0
Let b = -2224 + 11121/5. Solve 2/5*a**3 + 0 - 1/5*a**4 - 2/5*a + b*a**2 = 0 for a.
-1, 0, 1, 2
Suppose -5*s + 5*c = -25, s - 3 = 5*c + 10. Let i be ((-12)/(-3) - 7) + (-3)/(9/(-15)). Let 2/3*h**5 - 2/3*h**s + 0 + 0*h + 2/3*h**4 - 2/3*h**i = 0. What is h?
-1, 0, 1
Find y such that 12 - 81*y - 105/4*y**4 + 156*y**2 - 243/4*y**3 = 0.
-4, 2/7, 2/5, 1
Suppose 4*c = 3*c. Suppose r + 4 = 3*r, -n + 3*r - 2 = c. Find s such that 3*s + 0 + 4*s**2 - s**2 - 2 - n*s**2 = 0.
1, 2
Let m(t) be the second derivative of t**5/50 - 6*t**4/5 + 149*t. Factor m(j).
2*j**2*(j - 36)/5
Let m(r) be the first derivative of -r**5/180 - r**4/72 + 15*r**2/2 - 18. Let d(i) be the second derivative of m(i). Find v, given that d(v) = 0.
-1, 0
Factor 8*y - 56 - 2/7*y**2.
-2*(y - 14)**2/7
Let f(l) be the third derivative of 0*l**5 + 0 - 1/1512*l**8 + 0*l**3 + 1/315*l**7 - 1/270*l**6 + 0*l**4 + 0*l - 8*l**2. What is j in f(j) = 0?
0, 1, 2
Let c be (((-6)/(-2))/(-66))/(225/(-1370)). Let t = c + -3/55. Let 4/9*m + 2/9 + t*m**2 = 0. Calculate m.
-1
Factor 3/2*d**2 - 18 + 26*d.
(d + 18)*(3*d - 2)/2
Suppose -78*n + 83*n = -5*v + 50, -4*v - n + 16 = 0. Suppose 0 + 0*t + 0*t**v + 3*t**4 - 3/4*t**5 - 9/4*t**3 = 0. Calculate t.
0, 1, 3
Let a = 255 + -252. Suppose 27*o - 315/4*o**2 - a + 75*o**3 = 0. What is o?
1/4, 2/5
Let n(r) be the second derivative of -r**4/4 - 111*r**3 - 36963*r**2/2 - 2*r + 69. Find c such that n(c) = 0.
-111
Let l = -19120 - -19120. Suppose 1/2*w + 1/2*w**2 + l = 0. Calculate w.
-1, 0
Let r(q) be the third derivative of -q**6/30 - 22*q**5/75 + q**4/2 - 205*q**2. Let r(x) = 0. Calculate x.
-5, 0, 3/5
Let t(u) be the second derivative of u**7/84 + 7*u**6/60 + 3*u**5/8 + 3*u**4/8 + 28*u - 4. Factor t(d).
d**2*(d + 1)*(d + 3)**2/2
Let i be -3 + (24/16)/(84/200). Suppose i*l**4 - 4/7*l + 4/7 - 8/7*l**2 - 4/7*l**5 + 8/7*l**3 = 0. What is l?
-1, 1
Suppose -103*q - 117*q = -39*q. Suppose q - 4/7*l + 2/7*l**2 = 0. What is l?
0, 2
Let n(s) be the first derivative of 6*s + 19/2*s**2 - 20 + s**4 - 19/3*s**3. Factor n(o).
(o - 3)*(o - 2)*(4*o + 1)
Let n(q) be the third derivative of -3*q**8/112 + q**7/35 + 3*q**6/10 - 9*q**5/10 + 7*q**4/8 + 324*q**2. Solve n(m) = 0.
-7/3, 0, 1
Let z be 18*(-23 + 419/18). Find m, given that 4/9 - 2/9*m - 8/9*m**2 + 4/9*m**3 - 2/9*m**z + 4/9*m**4 = 0.
-1, 1, 2
Let q(v) = v**2 + 4*v - 2. Let u(x) = x**2 + 5*x - 2. Let i(h) = -3*q(h) + 2*u(h). Let n be i(0). Factor 6*a**3 - 4*a**5 - a**5 - n*a - a + 2*a**5.
-3*a*(a - 1)**2*(a + 1)**2
What is z in -32/17*z + 30/17 + 2/17*z**2 = 0?
1, 15
Suppose -12/5*c**4 - 3*c**3 + 9*c**2 + 12*c + 12/5 = 0. What is c?
-2, -1, -1/4, 2
Let q(k) be the first derivative of -2*k**5/25 - 3*k**4/10 + 4*k**3/5 + 8*k**2/5 + 106. Factor q(i).
-2*i*(i - 2)*(i + 1)*(i + 4)/5
Let v be 1*((-87)/(-116))/(22/16 - 1). Factor 2*p + 1/6*p**3 + 4/3 + p**v.
(p + 2)**3/6
Let s(a) be the third derivative of a**8/6720 + 23*a**5/30 + 8*a**2. Let g(b) be the third derivative of s(b). Find z such that g(z) = 0.
0
Suppose 63*z - 39 - 3*z**3 + 7 - 10 + 0*z**3 - 18 = 0. Calculate z.
-5, 1, 4
Find y such that -17/2*y**2 + 8*y**3 + 0 + 0*y + 1/2*y**4 = 0.
-17, 0, 1
Let y = 85 - 79. Suppose -7*v + 15 + y = 0. Determine s, given that 3/2*s**2 + 9/4*s**v - 9/4*s - 3/2 = 0.
-1, -2/3, 1
Let o = 322 + -316. Let j(n) be the second derivative of -14/15*n**5 - 8/9*n**4 - 10*n - 8/15*n**o + 0 - 8/63*n**7 - 1/2*n**3 - 1/6*n**2. Solve j(k) = 0.
-1, -1/2
Let i(c) be the third derivative of c**10/10080 - c**8/2240 + c**4/8 + 9*c**2. Let g(d) be the second derivative of i(d). Factor g(x).
3*x**3*(x - 1)*(x + 1)
Let t(w) be the third derivative of w**5/90 + w**4/2 + 56*w**3/9 - 9*w**2 + 9*w. Let t(o) = 0. Calculate o.
-14, -4
Suppose 2*r = -4*z - r, -2*z - 2*r = 0. Suppose z*x = -3*x. Factor -s**2 + 1 - s + x*s**2 - 1.
-s*(s + 1)
Let q(i) be the first derivative of -2/15*i**3 + 14 - 4/5*i**2 - 6/5*i. Let q(m) = 0. Calculate m.
-3, -1
Let l be (-14)/(-6) - 1/3. Suppose 2*m - 5*v = 19, -m + 2*m - 17 = 5*v. Find a, given that a**m - 9*a**3 - a**l + 7*a**3 = 0.
0
Let o be 3/15 + (-4)/20. Let f be 1 - o - (-2)/2. Find z, given that -2*z**3 - 2*z**3 + 47*z**f - 48*z**2 = 0.
-1/4, 0
Let m(l) be the first derivative of -l**2/2 + 6*l + 5. Let d be m(4). What is b in -23*b**2 - 12*b + 9*b**3 + 12 - b**2 + 9*b**d = 0?
-1, 2/3, 2
Let v(y) = -y**3 - y**2 - y. Let m(x) = -8*x**3 - 26*x**2 + 31*x + 300. Let g(z) = -4*m(z) + 36*v(z). Factor g(n).
-4*(n - 10)**2*(n + 3)
Let q be (-2)/(-10) - (-63)/60. Suppose 2*l = 5*u - 16, 0 = 2*u - 2*l + 5*l + 5. Determine m, given that -q*m + 1/2 + 3/4*m**u = 0.
2/3, 1
Let m(t) be the first derivative of -2*t**5/25 + 6*t**4/5 - 92*t**3/15 + 12*t**2 - 10*t - 139. Factor m(q).
-2*(q - 5)**2*(q - 1)**2/5
Let b(h) be the first derivative of -1/8*h**4 + 0*h**2 + 0*h - 35 + 1/40*h**5 + 1/6*h**3. Factor b(j).
j**2*(j - 2)**2/8
Let p(n) be the second derivative of n**6/75 + 7*n**5/50 + 11*n**4/30 + n**3/3 - 159*n. Factor p(h).
2*h*(h + 1)**2*(h + 5)/5
Let d = 3263/4532 - -3/412. Solve 2/11*b**2 - 8/11*b + d = 0.
2
Let o(r) be the second derivative of -r**4/12 + 47*r**3/6 - 152*r - 2. Factor o(n).
-n*(n - 47)
Let g(q) = -2*q**2 + 3. Let j(a) = -32*a**2 + 148*a + 114. Let k(o) = 6*g(o) - j(o). Find c such that k(c) = 0.
-3/5, 8
Let y(q) be the third derivative of -2/15*q**5 + 1/84*q**8 - 11*q**2 + 0*q**4 - 1/10*q**6 + 0*q**7 + 0*q**3 + 0 + 0*q. Determine d so that y(d) = 0.
-1, 0, 2
Let l(i) = 18*i**2 + 7*i - 13. Let q be l(3). Let f be (51/q)/((-6)/(-8) - 0). Factor -2/5*g**2 + f*g + 2/5 - 2/5*g**3.
-2*(g - 1)*(g + 1)**2/5
Let t = -72 + 65. Let g be 2/t + (-129)/(-35) - 3. Factor 0 + 4/5*n**3 - 2/5*n**4 + 0*n - g*n**2.
-2*n**2*(n - 1)**2/5
Let z(g) be the third derivative of 0*g + 0 + 16/15*g**3 + 2/15*g**4 - 24*g**2 + 1/150*g**5. Let z(t) = 0. Calculate t.
-4
Factor -8*z**2 - z**3 + 8*z**2 - 36 + 16*z**2 + 2*z**3 - 22*z + z**3.
2*(z - 2)*(z + 1)*(z + 9)
Let s be 4/14 + (-297)/5670. Let o(c) be the second derivative of 0 + 1/5*c**2 + 1/20*c**5 + 5*c + s*c**3 + 1/150*c**6 + 3/20*c**4. Factor o(x).
(x + 1)**3*(x + 2)/5
Let k = -14 - -8. Let u = k - -8. Find t, given that 3*t**4 - 7*t**3 + 2*t**3 + u*t**3 - t**2 - 2*t**2 + 3*t**5 = 0.
-1, 0, 1
Let r(q) = q**5 + q**4 + q**2 - 1. Let y(w) = w**5 - 29*w**4 - 450*w**3 + 1446*w**2 - 1475*w + 499. Let i(o) = -4*r(o) - y(o). Determine s, given that i(s) = 0.
-9, 1, 11
Let b be 4 + (-5)/(25/(-170)). Suppose 35*w - b*w = -6. Factor -5/4*a - 9/2*a**w + 1/2.
-(2*a + 1)*(9*a - 2)/4
Let q(y) be the first derivative of -y**5/20 + y**4/4 - 2*y**2 - 14. Let l(j) be the second derivative of q(j). Let l(t) = 0. What is t?
0, 2
Let o(d) be the first derivative of 2*d**3/15 + 2*d**2 + 42*d/5 + 548. Factor o(r).
2*(r + 3)*(r + 7)/5
What is v in -10*v**5 + 4*v - 25*v**3 + 30*v**2 - 4*v - 88*v**4 + 23*v**4 = 0?
-6, -1, 0, 1/2
Let a = 117557/5 + -23497. Factor a + 2/5*l**2 - 24/5*l.
2*(l - 6)**2/5
Let r(i) be the first derivative of i**4/44 + 8*i**3/33 + 19*i**2/22 + 12*i/11 - 216. Factor r(b).
(b + 1)*(b + 3)*(b + 4)/11
Let u = 10211/70 - 1453/10. 