 -3*k = -2*k - 2. Suppose 14*f - 1 - 27 = 0. Suppose -f*b**k - b**2 + 0*b + 0*b**2 + 6*b = 0. Calculate b.
0, 2
Let i be 22/8 + -2 + 0 + (-15)/(-300). Factor i*c**2 + 64/5 - 32/5*c.
4*(c - 4)**2/5
Let v(j) be the third derivative of j**8/1008 - 8*j**7/315 + 61*j**6/360 + 5*j**5/18 - 28*j**4/9 + 64*j**3/9 - 3*j**2 - 52. Suppose v(p) = 0. What is p?
-2, 1, 8
Factor -2/15*n - 2/15*n**5 + 0 - 8/15*n**4 - 4/5*n**3 - 8/15*n**2.
-2*n*(n + 1)**4/15
Let b be ((-18)/(-24))/(1/4). Let c(m) be the first derivative of -m**2 - 4/5*m - 4/15*m**b + 5. Factor c(x).
-2*(x + 2)*(2*x + 1)/5
Let n = 1151/2112 + 1/2112. Factor 2/11*l**4 - n*l + 0 - 2/11*l**3 - 10/11*l**2.
2*l*(l - 3)*(l + 1)**2/11
Suppose 6*z - 2*z = 5*f + 7, z - 3 = 0. Let i be ((-7)/(-2))/(-7) - f/(-1). Solve -q**5 + 0 + q**3 + 1/2*q**4 + 0*q - i*q**2 = 0 for q.
-1, 0, 1/2, 1
Let w be (-11)/(308/42) + 4*21/24. Factor 0 - 24*h - 3/2*h**5 - 36*h**3 + 48*h**w + 12*h**4.
-3*h*(h - 2)**4/2
Factor 1/5*k**2 - 31/5*k + 0.
k*(k - 31)/5
What is q in 27/2*q**5 - 72 + 516*q**3 - 732*q**2 + 408*q - 297/2*q**4 = 0?
1/3, 2/3, 2, 6
Suppose 0 = -13*w + 18*w - 135. Factor 4*j**2 + 0*j**2 - 19*j + w*j.
4*j*(j + 2)
Suppose 0 = -b, 0*b - 5*b + 3 = p. Suppose 3*w = 5*r - 10, 4 = -p*r + 5*r. Factor -2/9*u + w + 2/9*u**3 + 0*u**2.
2*u*(u - 1)*(u + 1)/9
Let c(s) = s**3 - 8*s**2 + s - 6. Let m be c(8). Factor -m*o**2 + 2*o - 1 - 1 + 2 + 12.
-2*(o - 3)*(o + 2)
Let o = -995/7 + 47851/336. Let p = o + 1/16. Suppose 4/3*u + 1 + p*u**2 = 0. What is u?
-3, -1
Factor 14*r**3 + 175*r**2 - 5*r**3 - 4*r**3 - 190*r**2.
5*r**2*(r - 3)
Let y(o) be the first derivative of 10*o**3 + 15*o**2 - 21*o + 181. Let j(b) = 2 - b - b - b - 3*b**2. Let s(w) = -21*j(w) - 2*y(w). Factor s(u).
3*u*(u + 1)
Let a(g) = 2*g**4 - 9*g**3 - 3*g**2 - 5. Let d(m) = -8*m**3 - 15 - 5 + 16 + 2*m**4 - 2*m**2. Let q(w) = 4*a(w) - 5*d(w). Factor q(r).
-2*r**2*(r - 1)**2
Let h(u) be the third derivative of -u**6/30 - u**5/12 + 3*u**4/8 - 9*u**2. Let s(p) = -4*p**3 - 4*p**2 + 8*p. Let a(c) = 4*h(c) - 3*s(c). Factor a(j).
-4*j*(j - 1)*(j + 3)
Let o = -66 - -76. What is d in -28*d**4 - 58 - 4*d**5 + 78 - o*d + 54*d - 40*d**3 + 8*d**2 = 0?
-5, -1, 1
Let d be 6*(-2 - 9/(-6)). Let f be ((-84)/(-189))/(((-2)/d)/1). Factor -4/3 + 2/3*s**3 + 4/3*s**2 - f*s.
2*(s - 1)*(s + 1)*(s + 2)/3
Let y(o) = -2*o**3 + 21*o**2 - 37*o + 27. Let m(g) = 6*g**3 - 64*g**2 + 110*g - 82. Let w(v) = 3*m(v) + 10*y(v). Determine z, given that w(z) = 0.
1, 2, 6
Let k(l) be the first derivative of 4*l**5/35 + 6*l**4/7 - 4*l**3/7 - 40*l**2/7 - 48*l/7 - 83. Find g, given that k(g) = 0.
-6, -1, 2
Factor 0 + 0*f - 2/3*f**2 + 1/3*f**5 - f**3 + 0*f**4.
f**2*(f - 2)*(f + 1)**2/3
Let z be 1/((-42)/(-32)) + (-2)/6. Let l = 5/21 + z. Factor 2/3*h**2 + 1/3*h**5 + l*h**3 - h**4 + 1/3 - h.
(h - 1)**4*(h + 1)/3
Let p(i) be the third derivative of 0*i - 21*i**2 + 0 + 0*i**3 - 1/42*i**4 - 1/210*i**5 + 1/420*i**6. Factor p(f).
2*f*(f - 2)*(f + 1)/7
Let o(w) = 16*w**2 + 6*w + 10. Let s be 3/(2 - 3/3). Let n(d) = 5*d**2 + 2*d + 3. Let z(l) = s*o(l) - 10*n(l). Let z(i) = 0. What is i?
-1, 0
Let z(l) = 3*l**4 - 4*l**3 + 8*l**2 + 16*l + 4. Let b(t) = -4*t**4 + 4*t**3 - 9*t**2 - 16*t - 5. Let o(w) = -4*b(w) - 5*z(w). Factor o(d).
d*(d - 2)*(d + 2)*(d + 4)
Determine u so that -3*u**2 - 32 + u**2 + 10*u - 7*u**2 + 31 = 0.
1/9, 1
Let o = 2016 + -201597/100. Let v(f) be the second derivative of o*f**5 - 4*f + 0 + 6/5*f**3 + 3/10*f**4 + 12/5*f**2. Find c such that v(c) = 0.
-2
Let m(z) be the third derivative of z**7/7560 - z**5/360 - z**4/108 - 2*z**3 + 2*z**2. Let w(h) be the first derivative of m(h). Factor w(r).
(r - 2)*(r + 1)**2/9
Let u(l) = -5*l**5 - 2*l**4 + 20*l**3 - 2*l**2 + 2. Let o(x) = -110*x**5 - 45*x**4 + 440*x**3 - 45*x**2 + 45. Let g(a) = -2*o(a) + 45*u(a). Solve g(f) = 0.
-2, 0, 2
Let y(q) = -q - 2*q**2 + 9*q**2 - q**3 + 8 + q**2. Let f be y(8). Let -l - 4*l - 9*l**3 + 2*l + 12*l**2 + f*l**2 = 0. Calculate l.
0, 1/3, 1
Suppose 102/5 + 6/5*r - 102/5*r**2 - 6/5*r**3 = 0. Calculate r.
-17, -1, 1
Let o be 32/(-264)*-11 - 1. Factor 0*w**2 + 2/3*w - 2/3*w**3 + 1/3 - o*w**4.
-(w - 1)*(w + 1)**3/3
Let t(f) be the second derivative of f**7/16380 + f**6/4680 + 17*f**4/12 + 29*f. Let g(l) be the third derivative of t(l). Factor g(k).
2*k*(k + 1)/13
Determine n so that -3/5*n**2 - 60 - 12*n = 0.
-10
Let w(r) be the first derivative of -2/9*r**3 + 4/3*r**4 + 23 + 0*r - 77/30*r**5 + 49/36*r**6 + 0*r**2. Factor w(f).
f**2*(f - 1)*(7*f - 2)**2/6
Let l(t) be the third derivative of -t**7/840 + t**6/240 + t**5/20 - 7*t**4/6 - 2*t**2. Let h(a) be the second derivative of l(a). Determine f so that h(f) = 0.
-1, 2
Let j(u) be the second derivative of u**5/120 + 2*u**4/9 + 77*u**3/36 + 49*u**2/6 + 83*u. Find t such that j(t) = 0.
-7, -2
Let g(t) be the first derivative of -3*t**5 + 5*t**4 + 35*t**3/3 - 10*t**2 - 20*t + 146. Determine k, given that g(k) = 0.
-1, -2/3, 1, 2
Let f(h) be the third derivative of -h**8/3360 - h**7/840 - h**6/720 - h**3/3 + 13*h**2. Let m(d) be the first derivative of f(d). Factor m(l).
-l**2*(l + 1)**2/2
Let o(n) = 5*n**2 - n - 4. Let m(f) = -11*f**2 + 3*f + 8. Let k be 714/54 + 2/(-9). Let l = 15 - 9. Let v(j) = k*o(j) + l*m(j). Factor v(b).
-(b - 4)*(b - 1)
Suppose -5*j + 15 + 10 = 0. Let p(i) be the third derivative of 0*i**3 + 1/300*i**6 + 0 + 0*i - 1/150*i**j + 7*i**2 + 0*i**4. Let p(f) = 0. Calculate f.
0, 1
Let k(n) be the second derivative of 3*n**5/100 + n**4/20 - n**3/10 - 3*n**2/10 - 593*n. Solve k(w) = 0.
-1, 1
Let r(u) be the third derivative of -u**6/160 + 3*u**5/80 + 2*u**2 + 102. Factor r(j).
-3*j**2*(j - 3)/4
Factor 0*g**2 + 1/6*g**5 + 0*g + 0 + 1/3*g**3 - 1/2*g**4.
g**3*(g - 2)*(g - 1)/6
Let k(n) be the first derivative of 1/15*n**3 - 6*n - 5 - 1/60*n**4 + 0*n**2. Let z(i) be the first derivative of k(i). Factor z(g).
-g*(g - 2)/5
Let o(d) be the first derivative of 6 + 16/3*d**3 - 2*d**2 + 0*d - 6*d**4 - 2/3*d**6 + 16/5*d**5. Factor o(p).
-4*p*(p - 1)**4
Let j = 8567/15686 + -1/1426. Determine s, given that -7/11*s**2 - 1/11*s - j*s**3 + 0 = 0.
-1, -1/6, 0
Let o be (-4)/(-6) - ((-1164)/90 + -5). Let i = -81/10 + o. Factor 3*s + 81/2*s**3 - 69/2*s**4 + i*s**5 + 0 - 39/2*s**2.
3*s*(s - 1)**3*(7*s - 2)/2
Let x(a) be the first derivative of 0*a**4 - 1/120*a**6 + 0*a**3 - 1 - 6*a - 1/80*a**5 + 0*a**2. Let s(u) be the first derivative of x(u). Factor s(h).
-h**3*(h + 1)/4
Suppose -2500*p - 125000/3 - 1/3*p**3 - 50*p**2 = 0. What is p?
-50
Let p(k) be the third derivative of -1/15*k**5 + 0 - 23*k**2 + 1/2*k**4 - 4/3*k**3 + 0*k. Factor p(d).
-4*(d - 2)*(d - 1)
Let i(j) = -5*j**4 - 6*j**3 - j**2 + 2*j + 2. Let f(n) = -2*n**2 + 1 + 50*n + n**2 - 49*n + 2*n**2 - n**4. Let r(z) = -2*f(z) + i(z). Factor r(m).
-3*m**2*(m + 1)**2
Let v(z) be the first derivative of -z**6/27 + 16*z**5/45 + z**4/18 - 16*z**3/27 - 88. Determine x, given that v(x) = 0.
-1, 0, 1, 8
Let x(j) = -2*j**3 + j**2 + 3. Let s(g) = 4*g**3 + 29*g**2 - 1003. Let m(t) = -2*s(t) - 2*x(t). Factor m(l).
-4*(l - 5)*(l + 10)**2
Let h = 330 - 325. Let u(b) be the second derivative of -49/2*b**4 + 343/10*b**h + 28/3*b**3 + 0 - 2*b**2 - 8*b - 2401/120*b**6. Determine k so that u(k) = 0.
2/7
Determine x, given that -128/5 + 164/5*x**3 - 552/5*x**2 + 128*x - 16/5*x**4 = 0.
1/4, 2, 4
Let n = -46 + 55. Factor n*l + 4*l**2 - 2*l**2 + 3*l**2 - 8*l**2.
-3*l*(l - 3)
Let b(c) be the second derivative of -c**7/14 + 2*c**6 - 189*c**5/10 + 67*c**4 - 233*c**3/2 + 108*c**2 - 373*c. Factor b(u).
-3*(u - 9)*(u - 8)*(u - 1)**3
Suppose -4*z = 5*m - 236, -4*m + 4*z = -0*m - 196. Suppose 0 = 21*l - m + 6. Factor 0*q - 1/6*q**l + 1/6.
-(q - 1)*(q + 1)/6
Factor 58*h**3 - 450*h**2 - 140*h + 539*h**2 + 50*h**3 + 643*h**2 + 444*h**2 - 88.
4*(h + 11)*(3*h - 1)*(9*h + 2)
Let x be (-52)/(-16) + -2*2/16. Let w be ((x/10)/3)/((-20)/(-160)). Factor 1/5*d + 0 - 4/5*d**2 + 6/5*d**3 + 1/5*d**5 - w*d**4.
d*(d - 1)**4/5
Find w, given that 12/7*w**3 - 8/7*w**2 + 0 - 2/7*w**5 + 8/7*w**4 - 10/7*w = 0.
-1, 0, 1, 5
Let p(y) be the second derivative of y**5/130 + y**4/13 + 4*y**3/13 + 8*y**2/13 - 5*y + 7. Find o, given that p(o) = 0.
-2
Let g(q) be the first derivative of -q**8/3360 + q**7/560 - q**5/60 - 28*q**3/3 - 19. Let h(r) be the third derivative of g(r). Factor h(t).
-