 - 2*a**3 = 0.
-1, 0, 1
Let v be ((-3)/2)/((225/(-20))/15). Factor 9*g + 3*g - 3 + g**3 + 3*g**v + 11 + 3*g**2.
(g + 2)**3
Let g(f) = -f + 6. Let c be g(-9). Let z be 342/c*20/6. Factor 5*s + z*s**3 - 60*s**2 - s + 5 + 7 - 28*s**4 - 4.
-4*(s - 1)**3*(7*s + 2)
Let h = -16 - -26. Let l = h + -8. Solve -2*j**2 - 12 + 10*j**l + 8*j - 4*j**2 = 0 for j.
-3, 1
Let b(r) be the first derivative of r**6/16 - 3*r**5/8 + 27*r**4/32 - 7*r**3/8 + 3*r**2/8 - 145. What is q in b(q) = 0?
0, 1, 2
Let q be ((-8)/(-28))/((240/(-21))/(-5)). Factor -1/4*u**2 + q - 1/8*u.
-(u + 1)*(2*u - 1)/8
Let w = -96 + 105. Factor 5*l**5 + 10*l**2 + 16*l**3 + 7*l**4 + w*l**3 + 19*l**4 - 6*l**4.
5*l**2*(l + 1)**2*(l + 2)
Let i(r) = 5*r**3 + 23*r**2 + 21*r - 6. Let j(c) = -16*c**3 - 70*c**2 - 64*c + 20. Let o(a) = -20*i(a) - 6*j(a). Factor o(f).
-4*f*(f + 1)*(f + 9)
Let q = 9056 + -81502/9. Find j, given that -2/9*j**2 - 2/9*j + q*j**3 + 2/9 = 0.
-1, 1
Suppose 4*l - 19 + 25 = 7*k, -4 = -5*l + 3*k. Find f, given that 1250/7 + 2/7*f**4 + 300/7*f**l - 1000/7*f - 40/7*f**3 = 0.
5
Let k(o) = -20*o - 8. Let z be k(-3). Determine q so that -18*q**4 + 24*q**3 - z*q**3 + 24*q**2 - 2*q**4 = 0.
-2, 0, 3/5
Determine o so that 28*o + 15 - 2*o**2 - 17 - 88 = 0.
5, 9
Let y(f) be the first derivative of 10*f**3/3 - 92*f**2/3 + 8*f + 236. Let y(s) = 0. Calculate s.
2/15, 6
Let y(c) be the third derivative of -c**8/112 + 3*c**7/70 + 3*c**6/20 - 2*c**5/5 + 13*c**2. Determine i, given that y(i) = 0.
-2, 0, 1, 4
Let k(z) be the first derivative of 35*z**6/6 - 12*z**5 - 265*z**4/4 - 70*z**3 - 20*z**2 - 159. Solve k(p) = 0.
-1, -2/7, 0, 4
Suppose 4*n - 5*n = -7. Suppose -10*i + 15 = -n*i. Factor -i*w**3 - w - 2*w + 20*w**2 - 12*w.
-5*w*(w - 3)*(w - 1)
Solve -24/13 + 38/13*r**4 + 54/13*r**3 - 14/13*r**5 - 112/13*r - 86/13*r**2 = 0.
-1, -2/7, 2, 3
Let x(t) be the second derivative of t**4/84 + 25*t**3/42 + 33*t**2/7 - 195*t - 2. Determine s so that x(s) = 0.
-22, -3
Let j(d) be the second derivative of 0*d**3 - 3/2*d**2 + 1/300*d**5 + 6*d + 0 + 0*d**4. Let o(l) be the first derivative of j(l). Factor o(v).
v**2/5
Suppose -27*n + 28*n - d - 8 = 0, 0 = 4*n - 3*d - 26. Factor 0 - 2/11*b**3 - 6/11*b + 8/11*b**n.
-2*b*(b - 3)*(b - 1)/11
Let y(d) be the third derivative of d**6/100 - 23*d**5/50 + 4*d**4 - 76*d**3/5 + 50*d**2 - 1. Factor y(n).
6*(n - 19)*(n - 2)**2/5
Let b be 2 + ((-1448)/10 - 3). Let g = b - -147. Solve -3/5 + 24/5*n**2 - 21/5*n**4 - 12/5*n**5 + g*n + 6/5*n**3 = 0 for n.
-1, 1/4, 1
Let p(h) = -h**4 - 2*h**3 - h**2 - h + 1. Let o(x) = x**5 + 16*x**4 - 126*x**3 + 168*x**2 - 79*x + 4. Let d(j) = -o(j) + 4*p(j). Determine i so that d(i) = 0.
-25, 0, 1, 3
Let v(a) be the third derivative of a**7/735 + 3*a**6/140 + 5*a**5/42 + 9*a**4/28 + 10*a**3/21 + 24*a**2 - 3*a. Factor v(d).
2*(d + 1)**2*(d + 2)*(d + 5)/7
Let t = 8717/22 - 396. Let g = 14/11 + t. Factor -g + d + 1/2*d**2.
(d - 1)*(d + 3)/2
Let c(t) = -7*t**5 - 5*t**4 - 7*t**3 + 5*t**2 + 2*t + 4. Let b(o) = -36*o**5 - 24*o**4 - 36*o**3 + 24*o**2 + 9*o + 21. Let f(g) = 4*b(g) - 21*c(g). Factor f(w).
3*w*(w - 1)*(w + 1)**2*(w + 2)
Solve -16/15*q**4 + 0 + 0*q**2 - 8/15*q**3 + 0*q - 2/5*q**5 = 0.
-2, -2/3, 0
Factor 4*d**2 - 22 + 32*d - 1 - 1 - 12*d**2 - 6*d**3 + 18*d**2.
-2*(d - 3)*(d + 2)*(3*d - 2)
Let h(a) be the third derivative of a**5/75 + 26*a**4/5 + 4056*a**3/5 + 167*a**2. Determine v, given that h(v) = 0.
-78
Let w(s) = s**2 + 27*s - 7. Let m be w(5). Let y = m - 458/3. Factor -y*u**2 + 1/3*u + 0.
-u*(u - 1)/3
Let p(f) = -f**2 + 1. Let m(a) = -a**2 - 3*a + 4. Let w be 21/3 - (-2)/(-2). Suppose 9*y = 11*y + 6. Let r(d) = w*p(d) + y*m(d). Suppose r(n) = 0. Calculate n.
1, 2
Let s(h) = -h**3 - 3*h**2 + 6*h + 6. Let a be s(-4). Let y be a/14*(-7)/(-21)*-6. Solve -6/7*p**2 - 10/7*p + 2/7*p**4 - 4/7 + y*p**3 = 0 for p.
-1, 2
Suppose -21*s - 14 + 35 = 0. Let w(c) be the first derivative of -s + 0*c - 3/4*c**2 - 3/8*c**4 - c**3. Factor w(j).
-3*j*(j + 1)**2/2
Let y be 64/11 - 3*4/(-66). Suppose u + y - 20 = -5*a, -5*a = -3*u - 18. Factor 0*p**2 + 0 - 2/13*p**a + 2/13*p.
-2*p*(p - 1)*(p + 1)/13
Let v(w) = w + 1. Let y be v(11). Let z = -9 + y. Determine g, given that 8*g**2 + 4*g**5 - 4*g**4 - g**3 + 0*g**4 + 4*g - 4 - 6*g**3 - g**z = 0.
-1, 1
Let w = -173 + 355/2. Let f be (-2)/6 + (-14)/(-6). Determine k, given that -7/2*k**f - 15/2*k - w - 1/2*k**3 = 0.
-3, -1
Let c(f) be the third derivative of -f**7/840 + f**6/24 - 13*f**5/40 - 55*f**4/24 - 121*f**3/24 + f**2 - 14*f. Factor c(z).
-(z - 11)**2*(z + 1)**2/4
Factor 135*g**4 + 60*g**3 + 1930*g + 5*g**5 + 2920*g**2 - 261*g + 5760 + 3354*g - 225*g**4 + 2657*g.
5*(g - 12)**2*(g + 2)**3
Factor -18*j + 9*j**2 - 3/2*j**3 + 12.
-3*(j - 2)**3/2
Let f(b) = 249*b**5 - 494*b**4 - 16*b**3 + 40*b**2 - 4*b - 4. Let s(c) = -c**5 + c**4 - c**3 + c + 1. Let o(k) = f(k) + 4*s(k). Let o(i) = 0. What is i?
-2/7, 0, 2/7, 2
Suppose 0 = s - 4*q - 10, 2*s + 3*s + 4*q = 2. Factor -r**2 + 0*r**2 - s*r**2 + 4*r - r.
-3*r*(r - 1)
Let s(w) be the third derivative of -w**7/420 - 7*w**6/240 + 19*w**5/120 + 7*w**4/48 - 3*w**3/2 + w**2 + 42*w. Solve s(a) = 0 for a.
-9, -1, 1, 2
Let h(j) be the third derivative of -1/35*j**7 + 0*j - 1/2*j**4 - 1/112*j**8 + 0 + 15*j**2 + 3/40*j**6 + 0*j**3 + 1/5*j**5. What is c in h(c) = 0?
-2, 0, 1
Let l(a) be the first derivative of 14*a**6/3 - 92*a**5/5 + 27*a**4 - 52*a**3/3 + 4*a**2 - 224. Factor l(x).
4*x*(x - 1)**3*(7*x - 2)
Let p(z) be the second derivative of z**4/54 + 4*z**3/9 + 32*z**2/9 + 64*z + 1. Factor p(v).
2*(v + 4)*(v + 8)/9
Let o(p) = p + 13. Let l be o(-9). Let r(q) be the first derivative of 0*q**2 - 5 + 1/15*q**6 + 0*q**3 + 0*q**5 + 0*q - 1/10*q**l. Let r(s) = 0. Calculate s.
-1, 0, 1
Let b(r) be the first derivative of r**5/5 + 2*r**4/3 + 10*r - 8. Let x(k) be the first derivative of b(k). Suppose x(d) = 0. Calculate d.
-2, 0
Let l(d) be the second derivative of -3*d**2 + 0 + 1/8*d**4 + 14*d + 0*d**3. Determine a, given that l(a) = 0.
-2, 2
Let c be (-2 - 10/(-4))*0/(209/19). Solve 2/9*n - 2/9*n**2 + c = 0 for n.
0, 1
Let i(p) be the third derivative of p**10/37800 - p**9/75600 - 7*p**4/6 - 33*p**2. Let m(z) be the second derivative of i(z). Determine w, given that m(w) = 0.
0, 1/4
Suppose -5*a = -0*a + 3310. Let u = a - -2042/3. Solve -50/3*l**5 + 140/3*l**4 + u*l**2 + 0 - 46*l**3 - 8/3*l = 0 for l.
0, 2/5, 1
Let z(o) be the second derivative of -o**5/12 + 5*o**4/3 - 40*o**3/3 - 13*o**2/2 + 17*o. Let f(g) be the first derivative of z(g). What is b in f(b) = 0?
4
Let j(k) = k**4 - 16*k**3 - 5*k**2 + 98*k + 72. Let y(o) = o**4 - 15*o**3 - 4*o**2 + 96*o + 72. Let f(q) = -6*j(q) + 7*y(q). Factor f(s).
(s - 6)**2*(s + 1)*(s + 2)
Let x be (4/10)/(21/(-15))*4767/(-454). Factor 1/4*n**2 + 1/4*n**x - 1/4 - 1/4*n.
(n - 1)*(n + 1)**2/4
Let a(f) be the second derivative of f**6/120 + f**5/20 - 19*f**4/48 - 23*f**3/12 - 3*f**2 - f + 66. Factor a(x).
(x - 4)*(x + 1)**2*(x + 6)/4
Let b = 1592 - 1589. Let s(j) be the first derivative of 8/21*j**b - 11 + 0*j - 1/14*j**4 - 3/7*j**2. Factor s(m).
-2*m*(m - 3)*(m - 1)/7
Let c(o) be the third derivative of 0 + 0*o + 2/3*o**3 + 1/30*o**6 - 1/6*o**4 - 21*o**2 - 1/15*o**5. Factor c(t).
4*(t - 1)**2*(t + 1)
Factor -13 - 1/4*n**3 + 12*n - 9/4*n**2.
-(n - 2)**2*(n + 13)/4
Suppose -o = 58 - 67. Let k be ((-2)/(-4))/(o/6). Factor -k - 2/3*r - 1/3*r**2.
-(r + 1)**2/3
Let n(v) be the third derivative of 1/40*v**6 - 11*v**2 + 0*v + 0 - 1/8*v**4 + 1/70*v**7 + v**3 - 3/20*v**5. Factor n(q).
3*(q - 1)**2*(q + 1)*(q + 2)
Let w(u) = 4*u**4 + 3*u**3 - 11*u**2 + 5*u + 1. Suppose -15 = 5*o - 20. Let n(g) = g**4 - g**2 - g - 1. Let t(r) = o*w(r) + n(r). Factor t(m).
m*(m - 1)*(m + 2)*(5*m - 2)
Let z(i) be the second derivative of 1/30*i**5 + 0 - 3*i + 0*i**4 - 1/45*i**6 + 0*i**3 + 0*i**2. Factor z(g).
-2*g**3*(g - 1)/3
Let u(y) = -6*y + 2*y**3 + 5*y**2 - y**3 + 3 + 3. Let m be u(-6). Factor m*c - c**2 - 7*c**2 + 7 - 5.
-2*(c - 1)*(4*c + 1)
Solve 0 - 4/3*j**2 + 20/3*j = 0.
0, 5
Let z be 9/12*(-58)/(-261). Let v(n) be the second derivative of 0*n**3 + n**2 + 0 + n - z*n**4. Solve v(d) = 0.
-1, 1
Let v = 1926 + -5776/3. Factor -v*w**2 + 4/3 - 2/3*w.
-2*(w - 1)*(w + 2)/3
Let d(j) be the second derivative of -j**5/190 - 13*j**4/38 + j**3/57 + 39*j**2/19 + 682*j. Factor 