i**2 - 2*i**2 + 6*i - 2*i - 2*i**b.
-2*i*(i - 1)*(i + 2)
Suppose 2*i + 16 = 6*i, -2*s + 18 = 3*i. Suppose s = -3*c + 5*v, -2*c - 2*c + 22 = 2*v. Factor -4/3*r**2 + 2*r**c - 2/3*r**3 + 0 + 0*r.
2*r**2*(r - 1)*(3*r + 2)/3
Let f(l) be the first derivative of 8*l**6/3 + 28*l**5/5 - 6*l**4 - 28*l**3/3 + 4*l**2 - 90. Let f(y) = 0. Calculate y.
-2, -1, 0, 1/4, 1
Let d = 584946/13 + -655135269/14560. Let g = d - 1/160. Let 0 + 0*i + g*i**3 + 2/7*i**2 = 0. Calculate i.
-1, 0
Let i(n) = -5*n**3 - 147*n**2 - 1203*n - 3651. Let y(g) = -2*g**2 + 2*g - 1. Let w(v) = i(v) - 6*y(v). Find b such that w(b) = 0.
-9
Let z(r) be the first derivative of r**3 + 321*r**2 + 34347*r + 210. Factor z(b).
3*(b + 107)**2
Factor -14 + 31/4*o**3 + 0*o**4 + 33*o - 1/4*o**5 - 53/2*o**2.
-(o - 2)**3*(o - 1)*(o + 7)/4
Let h(p) = 3*p**2 + 2*p - 3. Let q be h(-2). Let y(w) be the second derivative of 3/20*w**q - w + 0*w**2 + 0*w**3 - 1/4*w**4 + 0. Factor y(c).
3*c**2*(c - 1)
Suppose 0 = -0*b - b + 20. Suppose -8 + 3*s**2 - 4*s**2 - 4*s**3 - b*s - 15*s**2 = 0. Calculate s.
-2, -1
Let r(d) = -8*d**2 - 52*d + 29. Let v be r(-7). Let l(m) be the first derivative of v + 0*m + 4/3*m**3 - 2*m**2. Solve l(c) = 0 for c.
0, 1
Let i be -21 + (-5150)/(-6) - 4. Factor -i*j**3 + 250*j**2 + 5/3 - 100/3*j + 3125/3*j**4.
5*(5*j - 1)**4/3
Let a(h) be the third derivative of h**6/420 - 2*h**5/105 + 5*h**4/84 - 2*h**3/21 - 47*h**2. Solve a(c) = 0.
1, 2
Let d(m) = 2*m**3 + m. Let y(h) = -5*h**5 - 30*h**4 + 45*h**3 + 5*h. Let i(c) = 5*d(c) - y(c). Find g, given that i(g) = 0.
-7, 0, 1
Let b(p) be the second derivative of -p**7/210 + p**6/30 - p**5/100 - 7*p**4/20 + 3*p**3/5 + 4*p - 12. Solve b(i) = 0.
-2, 0, 1, 3
Suppose 0 = -0*q + 9*q. Let t be (2 - q)/((-9)/(-18)). Suppose 0*a + 4/3*a**2 - 2/3*a**3 + 0 - 4/3*a**t + 2/3*a**5 = 0. Calculate a.
-1, 0, 1, 2
Let r be 14/10 + 2/(-5). Suppose -t + 3*u - 10 = 3, 0 = 3*t - u - r. Factor -t*m**2 - 39*m**4 + m**2 + 6*m**2 - 20*m**5 + 4*m**4 - 10*m**3.
-5*m**2*(m + 1)**2*(4*m - 1)
What is z in 8/11*z + 2/11*z**2 + 8/11 = 0?
-2
Let -40/7*u**2 - 54/7*u + 2/7*u**5 + 4/7*u**3 - 20/7 + 12/7*u**4 = 0. Calculate u.
-5, -1, 2
Let u(c) be the first derivative of c**4/16 - 109*c**3/12 + 980. Factor u(g).
g**2*(g - 109)/4
Let n(m) = -12*m**3 + 76*m**2 + 168*m. Let g(l) = 4*l**3 - 25*l**2 - 56*l. Let j(u) = 16*g(u) + 5*n(u). Suppose j(v) = 0. What is v?
-2, 0, 7
Factor -130*k**3 + 13 + 135*k + 45*k**4 + 45 - 5*k**5 + 90*k**2 - 107 - 86.
-5*(k - 3)**3*(k - 1)*(k + 1)
Let x(h) be the third derivative of h**5/21 + h**4 + 57*h**2. Determine w, given that x(w) = 0.
-42/5, 0
Let i(o) be the second derivative of -o**5/120 - o**4/12 - o**3/4 + 21*o**2/2 - 2*o + 28. Let b(w) be the first derivative of i(w). Find s, given that b(s) = 0.
-3, -1
Let v(j) be the third derivative of j**8/672 + j**7/63 + 29*j**6/720 - 7*j**5/45 - 41*j**4/36 - 8*j**3/3 + 622*j**2. Find o, given that v(o) = 0.
-3, -8/3, -2, -1, 2
Let b = -27 + 26. Let a(d) = -8*d**4 - 4*d**2 - 6*d - 6. Let i(u) = -u**4 - u**2 - u - 1. Let k(l) = b*a(l) + 6*i(l). What is t in k(t) = 0?
-1, 0, 1
Let g(z) be the third derivative of -z**7/1050 + z**6/25 - 4*z**5/15 + 147*z**2. Solve g(c) = 0 for c.
0, 4, 20
Let w = -26811/7 + 134181/35. Find t such that w*t + t**2 - 8/5 = 0.
-4, 2/5
Suppose -4*z - 57 = -23*z. Find b such that 3 + 3/2*b**2 - 3/4*b**z + 21/4*b = 0.
-1, 4
Let w(b) be the third derivative of b**5/30 + 7*b**4/12 + 10*b**3/3 + 3*b**2 + 4. Find a such that w(a) = 0.
-5, -2
Let v(d) be the third derivative of -5*d**8/336 + 5*d**7/42 + 13*d**6/24 + 7*d**5/12 + 11*d**2 - 5*d. Solve v(z) = 0 for z.
-1, 0, 7
Let a(f) be the third derivative of f**5/10 - f**4/24 + 3*f**3/2 + 6*f**2. Let x(s) = -4*s + 8 + 5*s**2 - 5*s + 9*s. Let b(o) = 4*a(o) - 5*x(o). Factor b(y).
-(y + 2)**2
Let w(a) be the third derivative of a**7/945 + a**6/135 + a**5/90 - a**4/27 - 4*a**3/27 - 2*a**2 - 59. Determine t, given that w(t) = 0.
-2, -1, 1
Let x(k) = 3*k**3 + 5*k**2 + k - 3. Let c(f) = f**3 + 2*f**2 + f - 1. Let q(p) = 4*c(p) - 2*x(p). Solve q(d) = 0.
-1, 1
Let q(n) be the first derivative of n**4/2 - 34*n**3/3 + 42*n**2 + 91. Let q(z) = 0. Calculate z.
0, 3, 14
Let j(m) = m**2 + m. Let n(l) = 5*l + 15. Let r be n(-5). Let q(x) = -12*x**2 - 8*x. Let u(o) = r*j(o) - q(o). Factor u(h).
2*h*(h - 1)
Let l(t) be the second derivative of -t**7/504 - t**6/72 + t**5/8 - 7*t**4/4 - 7*t. Let w(j) be the third derivative of l(j). Find f, given that w(f) = 0.
-3, 1
Let z = -277 - -280. Let g(n) be the third derivative of 1/120*n**5 - 7*n**2 + 0 + 1/12*n**z + 0*n + 1/24*n**4. Factor g(y).
(y + 1)**2/2
Let l be (4/(-18))/(13/(-117)). Suppose 2*c = -2*q, 3*c + 0 = -l*q - 2. Factor -n**q + 8*n**4 - 10*n**2 - 10*n**3 + 13*n**2.
2*n**2*(n - 1)*(4*n - 1)
Let v be 1*3 + (-22)/11. Let d = v - -1. Factor -3*t**d - 2*t**3 + 5*t**3 + 0*t**3.
3*t**2*(t - 1)
Let v be (-3 - -3) + (-2)/(-1). Factor y + 0*y + 2 + y - 2*y**v - 2*y**3 + 0.
-2*(y - 1)*(y + 1)**2
Let i be -4 + -43 + -3 + 1. Let y be (-3)/(-1) + 119/i. Let 2/7*v**5 + 0 - y*v**2 + 0*v**3 - 2/7*v + 4/7*v**4 = 0. What is v?
-1, 0, 1
Let t(s) be the first derivative of -s**4 - 20*s**3 + 66*s**2 - 68*s + 55. Let t(d) = 0. Calculate d.
-17, 1
Let g(w) be the third derivative of 5/2*w**4 + 4/3*w**3 + 0*w - 8/15*w**6 + 0 + 8/5*w**5 + 13*w**2. Find m such that g(m) = 0.
-1/4, 2
Let y(q) = -q + 15. Let u be y(11). Let -27*k - 3*k**u + 27*k + 3*k**5 = 0. What is k?
0, 1
Let d = -20831/3 + 6944. What is r in 1/6*r - 1/3 - 1/6*r**3 + d*r**2 = 0?
-1, 1, 2
Factor -9 - 7/4*s**2 + 3/4*s**3 - 15*s.
(s - 6)*(s + 3)*(3*s + 2)/4
Let o(b) = -2*b**5 - 12*b**4 - 21*b**3 - 20*b**2 - 6*b. Let z(n) = -2*n**5 - 12*n**4 - 22*n**3 - 20*n**2 - 6*n. Let t(d) = -2*o(d) + 3*z(d). Factor t(v).
-2*v*(v + 1)**3*(v + 3)
Let z(j) = -2*j**2 + j - 6. Let k(c) = c**2 + c - 1. Let a(v) = 3*k(v) + z(v). Let r be a(-6). What is o in 9*o - 5*o + r*o**3 - 4*o + o**2 = 0?
-1/3, 0
Let d(c) be the third derivative of c**5/100 - 29*c**4/120 + 3*c**3/5 + 37*c**2 + 2*c. What is q in d(q) = 0?
2/3, 9
Let x = 307 + -305. Let r(j) be the third derivative of 0*j**4 + 4*j**x + 1/120*j**6 + 0*j + 0 - 1/60*j**5 + 0*j**3. Factor r(i).
i**2*(i - 1)
Let w(o) be the first derivative of -2*o + 1/10*o**5 + 2*o**2 - 1/3*o**4 - 2 - 1/3*o**3. Let j(s) be the first derivative of w(s). Let j(i) = 0. What is i?
-1, 1, 2
Factor 343*z**2 + 155*z**2 + 327*z**2 + 95 - 565*z + 45*z**3.
5*(z + 19)*(3*z - 1)**2
Let l(s) = -25*s**3 - 22*s**2 - 21*s - 19. Let q(t) = -21*t**3 - 21*t**2 - 20*t - 16. Let k(h) = -4*l(h) + 5*q(h). Factor k(w).
-(w + 1)*(w + 2)*(5*w + 2)
Factor -112/13 - 30/13*r - 2/13*r**2.
-2*(r + 7)*(r + 8)/13
Let n(w) be the third derivative of -w**8/40320 + w**7/2880 - w**6/960 + w**5/5 + 13*w**2. Let d(f) be the third derivative of n(f). Let d(x) = 0. Calculate x.
1/2, 3
Let h(b) be the second derivative of -b**6/40 - b**5/20 + b**4/4 + 3*b**2 - 8*b. Let j(o) be the first derivative of h(o). What is r in j(r) = 0?
-2, 0, 1
Let z(u) = -u**3 - 2*u**2 - u + 5. Let m be z(0). Let -50*g**2 + 50*g - 20*g**3 + 5*g**2 + m - 2 + 12 = 0. What is g?
-3, -1/4, 1
Find a, given that -2/11*a**2 - 26/11*a + 0 = 0.
-13, 0
Suppose -25*g + 28 = -97. Let o(p) be the second derivative of -1/20*p**5 - 1/60*p**6 - g*p + 0 + 1/4*p**2 + 1/6*p**3 + 0*p**4. Factor o(y).
-(y - 1)*(y + 1)**3/2
Let f be 4 + 107512/(-6720) + 12. Let l(u) be the third derivative of 6*u**2 + 0*u + 0 + f*u**6 + 0*u**3 + 0*u**4 - 1/420*u**5. Find j such that l(j) = 0.
0, 1
Suppose -9 - 5 = -3*m + 2*n, 5*m + 5*n = -10. Suppose m*q = 11 + 9. Factor -3*d - 8 - 7*d - d**3 - 6*d - d**3 - q*d**2.
-2*(d + 1)*(d + 2)**2
Suppose 4 = n + 5*j, j - 2 = 5*n - 22. Determine w so that -15*w**2 - 5*w**3 + w + n*w - 15*w = 0.
-2, -1, 0
Suppose 5*f - 2*o - 110 = 3*o, -2*o = 2*f - 28. Factor -f*t**3 + 2*t + 17*t**3 + t**4 - t**2 - t.
t*(t - 1)**2*(t + 1)
Let i(l) = -l**3 + 2*l**2 + 3*l + 3. Let y = 3 + 0. Let q be i(y). Factor 3*g**3 + 4*g**3 - 5*g**3 - 6*g**2 + 2*g**4 - 10*g + 0*g**q - 4.
2*(g - 2)*(g + 1)**3
Let x(q) = -15 + 8 + 27 + 4*q**2 + 50*q. Suppose -4 = 4*p + 8. Let m(v) = v**2 + 10*v + 4. Let d(j) = p*x(j) + 16*m(j). Factor d(r).
2*(r + 2)*(2*r + 1)
Let y(x) be the third derivative of -x**8/112 + x**7/14 - 3*x**6/40 - 9*x**5/2