19*l + 0 + v*l**2 - 2/19*l**4 = 0.
-2, 0, 3
Let f be -6*(39/26)/(-3). Determine v, given that 2/9*v**f + 0 - 4/9*v + 2/9*v**2 = 0.
-2, 0, 1
Let a(n) be the second derivative of -n**5/60 - n**4/6 + 21*n**2 - 12*n. Let q(k) be the first derivative of a(k). What is c in q(c) = 0?
-4, 0
Suppose 2*o - 4 = 5*x, -x - o = o - 4. Suppose x = -4*b - 1 + 13. Determine t so that 6*t**2 - 8 - b*t**3 + 5*t**3 + 0*t**3 = 0.
-2, 1
Let j(n) = -11*n**2 - 6*n + 11. Let p = -16 - -17. Let l(y) = y**2 + y - 1. Let g(m) = p*j(m) + 6*l(m). Solve g(s) = 0 for s.
-1, 1
Let j(g) = g**2 - 5*g - 10. Let y be j(7). Let z be -1*y/4*(-2 + -1). What is m in -6/7*m**4 - 6/7*m + 4/7*m**2 + 4/7*m**z + 2/7 + 2/7*m**5 = 0?
-1, 1
Let p(w) be the third derivative of -w**7/3780 + w**5/540 + w**3/2 + 20*w**2. Let u(j) be the first derivative of p(j). Factor u(n).
-2*n*(n - 1)*(n + 1)/9
Let o(q) be the third derivative of 1/3*q**4 - q**3 + 0 + 0*q - 5*q**2 - 1/30*q**5. Solve o(j) = 0 for j.
1, 3
Factor -4*b**2 - 2/11*b**3 + 4 + 2/11*b.
-2*(b - 1)*(b + 1)*(b + 22)/11
Let t(z) be the first derivative of z**6/2 + 3*z**5/4 + 3*z**4/16 - 57. Factor t(x).
3*x**3*(x + 1)*(4*x + 1)/4
Let b(k) be the first derivative of -k**5 - 45*k**4/4 + 35*k**3 - 55*k**2/2 - 38. Determine d, given that b(d) = 0.
-11, 0, 1
Let c(b) be the second derivative of -b**5/100 + b**4/20 + 19*b**2/2 + 17*b. Let m(j) be the first derivative of c(j). Suppose m(x) = 0. Calculate x.
0, 2
Let c(o) be the first derivative of 121*o**4/2 - 550*o**3 - 153*o**2 - 14*o - 336. Let c(i) = 0. What is i?
-1/11, 7
Let z be (-72)/(-27) - 4/6. Suppose -z*j - j = 0. Suppose j*h**2 + 2/5*h**3 - 4/5 - 6/5*h = 0. What is h?
-1, 2
Let u(m) be the third derivative of 52/35*m**7 - 7/15*m**6 + 1/2*m**4 + 0 + 4/3*m**3 - 20*m**2 + 0*m - 8/5*m**5 - 15/28*m**8. Suppose u(v) = 0. Calculate v.
-1/3, 2/5, 1
Let t(a) = -a**4 + 2*a**3 - a**2 - a. Let n(p) = 6*p**4 + 12*p**3 + 3*p**2 + 3*p. Let l(u) = n(u) + 3*t(u). Factor l(h).
3*h**3*(h + 6)
Suppose 4*b + 9 - 25 = r, -2*r + 4 = 4*b. Let c be 1 + 2 + r + 5. Solve 18/13*w**3 - 48/13*w**c + 0*w + 0 + 32/13*w**5 - 2/13*w**2 = 0.
0, 1/4, 1
Let k(u) be the second derivative of -u**5/50 + 36*u**4/5 - 5184*u**3/5 + 373248*u**2/5 - 83*u + 2. Factor k(g).
-2*(g - 72)**3/5
Let a = 19 - 16. Suppose 0 = n - 9 + 1. Determine g, given that 18*g**a + 13*g**2 + 5*g**4 + 4*g**3 - n*g + g**4 + 3*g**2 = 0.
-2, 0, 1/3
Let p(q) be the third derivative of q**6/540 - 7*q**5/270 + 11*q**4/108 - 5*q**3/27 + 16*q**2. Find v such that p(v) = 0.
1, 5
Let x(z) = -2*z**3 - 16*z**2 - 12*z + 18. Let k(q) = q**2 + 7*q - 2. Let f(m) = 2*k(m) + x(m). Factor f(y).
-2*(y - 1)*(y + 1)*(y + 7)
Let i(r) be the first derivative of 2*r**3/33 - 232*r**2/11 + 26912*r/11 + 227. Factor i(l).
2*(l - 116)**2/11
Let h(c) be the third derivative of 7/90*c**6 - 5*c**2 - 2/15*c**5 - 1/63*c**7 + 1/9*c**3 + 1/18*c**4 + 0*c + 0. Factor h(a).
-2*(a - 1)**3*(5*a + 1)/3
Let c be 2/8 - 176/(-64). Let k(r) be the first derivative of 4*r**2 + 1/2*r**4 + 0*r - 8/3*r**c - 2. Factor k(w).
2*w*(w - 2)**2
Factor -3/2*v**2 - 27*v - 51/2.
-3*(v + 1)*(v + 17)/2
Factor -2/3*y**3 + y + 1/6*y**2 + 1/6*y**4 + 0.
y*(y - 3)*(y - 2)*(y + 1)/6
Let x = 145 + -143. Factor -2*w**x - 41*w**3 + 2*w**4 + 43*w**3 + 2*w**2.
2*w**3*(w + 1)
Factor -2/3*h**3 + 0*h + 10*h**2 + 0.
-2*h**2*(h - 15)/3
Let n be 15/4 + 3/12. Let s be n/(-16)*-4 + 3/(-4). Solve -s*v**3 + 1/4*v + 0*v**2 + 0 = 0 for v.
-1, 0, 1
Let q(y) be the third derivative of -y**5/135 + 7*y**4/3 - 294*y**3 - 269*y**2. Suppose q(t) = 0. What is t?
63
Let f be (-20)/(-160) - 17/(-8). Factor 81/8 + 1/8*g**2 + f*g.
(g + 9)**2/8
Factor q**2 + 1/2*q**5 + 0 + 0*q + 5/2*q**3 + 2*q**4.
q**2*(q + 1)**2*(q + 2)/2
Let d = -118 + -87. Let h = -203 - d. Factor -2*j - 1/2*j**2 - h.
-(j + 2)**2/2
Let i be 3/(225/35) + -14 + 355/25. Let -2 + 8/3*t**2 + 4/3*t - 4/3*t**3 - i*t**4 = 0. Calculate t.
-3, -1, 1
Solve -51 + 3*u**3 + 14*u**2 - 71*u - 59*u**2 - 28*u = 0 for u.
-1, 17
Factor 529/2*x**4 - 46*x**3 + 2*x**2 + 0*x + 0.
x**2*(23*x - 2)**2/2
Let t(p) = 53*p**2 - 115*p + 27. Let g(o) = 160*o**2 - 348*o + 80. Let d(i) = -3*g(i) + 8*t(i). Factor d(r).
-4*(r - 2)*(14*r - 3)
Let a be (3872/(-48))/((-6)/(-4)). Let x = 54 + a. Factor -2/9*o**3 + 2/9*o + x - 2/9*o**2.
-2*(o - 1)*(o + 1)**2/9
Let o(v) be the third derivative of -v**8/1008 - v**7/630 + 13*v**6/360 + v**5/180 - v**4/6 + 6*v**2 + 10. Suppose o(p) = 0. What is p?
-4, -1, 0, 1, 3
Let -23/2*a + 1/2*a**4 - 5 - 15/2*a**2 - 1/2*a**3 = 0. Calculate a.
-2, -1, 5
Determine q so that 8/7*q + 12/7 - 4/7*q**2 = 0.
-1, 3
Let u(a) = -11 - a**3 + 3 - 4 + 23*a - 19*a + 11*a**2. Let b be u(9). Factor 3*i**3 + 186*i**2 - b*i**2 + 5*i**3 + 4*i**4.
4*i**3*(i + 2)
Let l(n) be the first derivative of 12 + 0*n + 4*n**2 - 4/3*n**3 + 1/8*n**4. Factor l(z).
z*(z - 4)**2/2
Suppose 3*d = -10 + 25. Let g(x) = 13*x**3 + 144*x**2 + 864*x + 1728. Let c(j) = -6*j**3 - 72*j**2 - 432*j - 864. Let y(o) = d*c(o) + 2*g(o). Solve y(q) = 0.
-6
Factor -45 + 233*c**3 - 35*c**2 + 236*c**3 - 464*c**3 + 75*c.
5*(c - 3)**2*(c - 1)
Let q(u) be the second derivative of -3*u**5/100 + 19*u**4/15 + 26*u**3/15 + 19*u - 3. Factor q(t).
-t*(t - 26)*(3*t + 2)/5
Let o(w) be the third derivative of -w**9/45360 - w**8/2520 - w**7/420 - w**6/135 - w**5/15 - 12*w**2. Let f(x) be the third derivative of o(x). Solve f(k) = 0.
-4, -1
Suppose 8*y**2 + 8*y + 10*y - 3*y + 5*y - 10*y**2 + 48 = 0. What is y?
-2, 12
Let w(d) = d**5 - d**4 - d**3 + d**2 - 2. Let p(y) = -10*y**5 - 15*y**4 + 10*y**3 + 15*y**2 + 30. Let x(a) = -p(a) - 15*w(a). Determine z, given that x(z) = 0.
-1, 0, 1, 6
Suppose -4*i + 0*i + 16 = -t, 4*i - 16 = -2*t. Factor -4/5*f**4 + t + 4/5*f**2 + 4/5*f**3 - 4/5*f.
-4*f*(f - 1)**2*(f + 1)/5
Let -p**4 + 2*p**2 + 1/2*p**5 + 2*p + 0 - 3/2*p**3 = 0. Calculate p.
-1, 0, 2
Factor -189/2*a**2 - 1/4*a**3 - 11907*a - 500094.
-(a + 126)**3/4
Let b(y) = -y**3 + 39*y**2 + 79*y + 127. Let h be b(41). Let 1/2*v**2 + 8 - h*v = 0. What is v?
4
Let n be 3/(-1 - (-24)/22). Factor 2*k**2 - 4*k**3 - 14*k**2 - n*k + 25*k.
-4*k*(k + 1)*(k + 2)
Let w(j) be the first derivative of 1/14*j**3 - 1/7*j**2 + 1 - 5*j - 1/140*j**5 + 0*j**4. Let p(r) be the first derivative of w(r). Solve p(a) = 0.
-2, 1
Factor -9*v**4 - v**5 - 2*v**3 + 5*v - v**3 + 3*v - 4*v**3 - 9*v**2 + 18*v**4.
-v*(v - 8)*(v - 1)**2*(v + 1)
Let v(t) be the first derivative of 28*t**5/5 - 144*t**4 + 752*t**3/7 - 160*t**2/7 + 162. Factor v(a).
4*a*(a - 20)*(7*a - 2)**2/7
Let t = -9442 + 9445. Suppose 0 - 4*w**2 - 7/3*w**t + 4/3*w = 0. Calculate w.
-2, 0, 2/7
Let s(o) be the third derivative of -1/60*o**5 + 0*o + 9*o**2 + 0 - 1/6*o**3 - 1/24*o**4. Let j(r) = -4*r**2 - 2*r - 2. Let c(w) = 2*j(w) - 4*s(w). Factor c(z).
-4*z**2
Let t(j) be the third derivative of 0 + 1/6*j**3 + 1/36*j**5 + 1/360*j**6 + 0*j - 14*j**2 + 7/72*j**4. Factor t(g).
(g + 1)**2*(g + 3)/3
Let c(m) be the third derivative of -m**7/840 - m**6/40 - 7*m**5/240 + m**4/2 + 11*m**3/6 - 1004*m**2. Determine g, given that c(g) = 0.
-11, -2, -1, 2
Let c(u) be the first derivative of -u**6/1260 - u**5/420 + 29*u**3/3 + 17. Let p(j) be the third derivative of c(j). Factor p(a).
-2*a*(a + 1)/7
Let d = -183 + 185. Let g(l) be the second derivative of -1/90*l**5 + 0 - 1/135*l**6 + 0*l**d - l + 1/54*l**4 + 1/27*l**3. Factor g(j).
-2*j*(j - 1)*(j + 1)**2/9
Let a(l) = -3*l**3 - 8*l**2 + 16*l. Let k(o) = o**3 + 2*o**2 - 5*o. Let n(d) = 4*a(d) + 14*k(d). Determine f so that n(f) = 0.
-1, 0, 3
Let z(h) be the second derivative of 0 - 1/60*h**4 - 42*h - 1/30*h**3 + 1/5*h**2. Solve z(s) = 0.
-2, 1
Suppose 5*w = -0*w - 5, 0 = 3*r - 4*w - 10. Factor -i**3 + 8*i**2 + r*i + 2*i - 2*i**3 + i**4 + 8*i**3.
i*(i + 1)*(i + 2)**2
Let y(t) be the second derivative of t**8/504 + t**7/315 - t**6/90 - 13*t**2/2 + 26*t. Let k(p) be the first derivative of y(p). Solve k(q) = 0 for q.
-2, 0, 1
Let x be 567*(-9)/(-15)*20/70. Factor 8/5 - 108/5*i + x*i**2 - 729/5*i**3.
-(9*i - 2)**3/5
Suppose 0 = 261*u + 201*u + 21*u + 11*u. Let -2/21*f**3 + 20/21*f**2 + u - 50/21*f = 0. What is f?
0, 5
Let j(a) = -a**3 - 16*a**2 - 64*a - 1374. Let n be j(-17). Factor 0*k**2 + 1/10*k**n + 1/5 - 3/10*k.
(k - 1)**2*(k + 2)/10
Suppose 73*k - 79*k + 24 = 0. Let o(c) be the second deriva