*x**4 + 0*x**3 - 2*x**p + 0*x + 0. Factor j(k).
2*k*(k + 1)**2/5
Suppose 0 = -5*z + 43 - 3. Let y be (7 + -1)/(6/z). Find x, given that -7*x**3 - y*x**3 - 25*x**4 + 7*x**2 + 0*x + 2*x**2 - x = 0.
-1, 0, 1/5
Suppose 9 - 217 = -104*n. What is g in -2/5*g**4 + 2/5*g**n + 0 + 0*g + 0*g**3 = 0?
-1, 0, 1
Let d(p) be the third derivative of 0 - 3/5*p**5 + 0*p**3 + 1/2*p**4 + 1/10*p**7 + 0*p - 9/40*p**6 - 18*p**2. Factor d(l).
3*l*(l - 2)*(l + 1)*(7*l - 2)
Let x = 2363 - 2363. Find s such that 0*s + x + 1/3*s**2 = 0.
0
Suppose -2*q + q = -44. Let m be q/16 + 4/16. Suppose 5*x - m*x**3 - 2*x - 2 + 2 = 0. What is x?
-1, 0, 1
Let t(u) be the second derivative of -5*u**7/252 + 7*u**6/60 - 29*u**5/120 + 5*u**4/24 - u**3/18 + 60*u - 3. Let t(p) = 0. What is p?
0, 1/5, 1, 2
Let i(f) be the first derivative of 5*f**4/18 + 5*f**3/4 + 5*f**2/6 - 4*f + 10. Let u(x) be the first derivative of i(x). Find l, given that u(l) = 0.
-2, -1/4
Let m be 4/9 - 744/(-837). Find l such that 2/9*l**2 + m*l + 10/9 = 0.
-5, -1
Suppose 4*g + 6 = -14, 21 = 4*a - 5*g. Let d(q) = -q**2 + q - 1. Let i(x) = 8*x**2 + 22*x + 23. Let z(t) = a*i(t) - 3*d(t). Solve z(n) = 0 for n.
-4, -1
Let n = -37189/5 - -7439. Determine j, given that 0*j**4 + 16/5*j**2 + 0 + n*j + 12/5*j**3 - 2/5*j**5 = 0.
-1, 0, 3
Let n(z) = z**2 - z + 1. Let y(r) = 33*r - 1 - 1 - 31 - 184*r**2 + 169*r**2 + r**3. Let u(c) = -30*n(c) - 5*y(c). Factor u(t).
-5*(t - 3)**3
Solve 1/2*z + 0 + 1/3*z**2 - 2/3*z**3 + 1/6*z**5 - 1/3*z**4 = 0.
-1, 0, 1, 3
Let z(g) be the first derivative of 0*g**2 + 2/15*g**3 - 1/10*g**4 - g - 6 + 1/50*g**5. Let l(o) be the first derivative of z(o). Solve l(j) = 0.
0, 1, 2
Let z(y) be the third derivative of y**5/60 - 3*y**4/4 + 15*y**3/2 - 2*y**2 + 505*y. Find m such that z(m) = 0.
3, 15
Determine c so that 1/4*c**2 + 0 - 31/4*c = 0.
0, 31
Let i(m) = -4*m**2 - 13*m - 9. Let y(v) = 5*v + 8*v + 8 + 6*v**2 - v - 2*v**2. Let s(c) = -4*i(c) - 3*y(c). What is b in s(b) = 0?
-3, -1
Let s = -26979 + 26981. Solve 4/3*t - 2*t**3 + 0 - 2*t**s + 4/3*t**4 = 0 for t.
-1, 0, 1/2, 2
Let o(x) be the first derivative of -2*x**3/27 + 230*x**2/9 - 26450*x/9 - 360. Suppose o(v) = 0. What is v?
115
Suppose -5*r - 34*m + 2 = -32*m, -16 = -2*r + 3*m. Factor -1/2*x**3 - 7/2*x - 3/2 - 5/2*x**r.
-(x + 1)**2*(x + 3)/2
Let w(x) be the third derivative of -x**5/36 + 745*x**4/72 + 128*x**2 - x. Factor w(a).
-5*a*(a - 149)/3
Let h(i) be the third derivative of -i**8/84 - 2*i**7/5 + 3*i**6/5 + 414*i**5/5 - 1755*i**4/2 + 4050*i**3 + 418*i**2. Factor h(o).
-4*(o - 3)**3*(o + 15)**2
Suppose -2/13*h**3 + 6/13*h**2 - 6/13 + 2/13*h = 0. What is h?
-1, 1, 3
Let g = -88 - -97. Let k be (8 - 2) + -1 + 0. Find v such that -g - k*v + 7 + 15*v**2 - 8 = 0.
-2/3, 1
Let f = -5/36 - -7/12. Let m(z) be the first derivative of 2 - f*z**2 - 2/27*z**3 - 8/9*z. Let m(r) = 0. Calculate r.
-2
Let c(l) be the first derivative of 1/2*l**4 - 24 + 0*l**3 - 3*l**2 + 4*l. Find q such that c(q) = 0.
-2, 1
Let d(r) be the second derivative of 2*r**6/15 + 14*r**5/5 + 15*r**4 + 104*r**3/3 + 40*r**2 + 345*r. Find j such that d(j) = 0.
-10, -2, -1
Let p = -3164 + 6455/2. Let h = p + -63. Factor h*m**2 + 1/2*m - 1/2 - 1/2*m**3.
-(m - 1)**2*(m + 1)/2
Let x(m) = 6*m**4 - 12*m**3 + 3*m**2 - 3*m - 3. Let d(i) = -i**4 + i**3 + i**2 + i + 1. Let o be 8/(-8) - (-2 + 0). Let y(r) = o*x(r) + 3*d(r). Factor y(t).
3*t**2*(t - 2)*(t - 1)
Let n be 3 + (9/(-15) - (-108)/(-70)). Let k(v) be the first derivative of 12/7*v**4 + n*v**3 + 1/7*v**2 - 3 + 32/35*v**5 + 0*v. Factor k(p).
2*p*(p + 1)*(4*p + 1)**2/7
Factor 0*v**2 + 0 + 12/7*v**3 + 0*v - 6/7*v**5 - 2*v**4.
-2*v**3*(v + 3)*(3*v - 2)/7
Let o(x) be the first derivative of -4*x**8/105 - 4*x**7/15 - 5*x**6/18 - x**5/10 + 11*x**3/3 - 34. Let m(p) be the third derivative of o(p). Factor m(r).
-4*r*(r + 3)*(4*r + 1)**2
Factor -15*t - 5/2*t**2 + 100.
-5*(t - 4)*(t + 10)/2
Let z(a) be the first derivative of a**6/18 - a**5/15 - a**4/4 + a**3/9 + a**2/3 + 170. Factor z(i).
i*(i - 2)*(i - 1)*(i + 1)**2/3
Factor 30 - 45*s + 40*s**2 - 103 + 33 + 5*s**3 + 40.
5*s*(s - 1)*(s + 9)
Let g(o) be the first derivative of o**5/25 - o**4/10 - 101. Factor g(a).
a**3*(a - 2)/5
Factor 6*l**2 - 33*l**2 + 3*l**4 - 9*l - 3*l**3 + 12*l**2.
3*l*(l - 3)*(l + 1)**2
Let a be (((-42)/(-259))/3)/(-19). Let b = 691/4218 - a. Factor 0 + 2/3*t**3 + 5/6*t**2 + b*t**4 + 1/3*t.
t*(t + 1)**2*(t + 2)/6
Let u = 32443 - 32441. Factor 15/2*s - 5/2*s**3 + 0*s**u - 5.
-5*(s - 1)**2*(s + 2)/2
Let f be (-11)/2*(-40)/110. Let l(d) be the first derivative of 1/7*d**2 + 4/21*d**3 + f + 0*d + 1/14*d**4. Find m, given that l(m) = 0.
-1, 0
Let k(t) be the third derivative of -t**5/450 + 4*t**4/15 + 17*t**3/5 - 691*t**2 + 2. Solve k(h) = 0 for h.
-3, 51
Suppose 6 = 9*l - 7*l. Suppose -16 + 93*s + 4*s**2 - 73*s - 5*s**2 - l*s**2 = 0. Calculate s.
1, 4
Solve -1/6*d**5 + 200/3 - 410/3*d + 212/3*d**2 - 7/3*d**4 + 11/6*d**3 = 0.
-10, 1, 4
Let 7408*z**2 - 324*z**4 - 912*z**3 + 64*z**2 - 8*z**5 - 2304 + 5*z**5 - 13*z**5 - 7296*z = 0. Calculate z.
-12, -1/4, 2
Suppose 3/4*h + 9/2 - 21/4*h**2 = 0. What is h?
-6/7, 1
Solve 19/10 + 1/10*t**2 - 2*t = 0.
1, 19
Let i(l) be the second derivative of 0*l**2 + 0*l**4 + l + 3/20*l**5 + 0*l**3 + 3/10*l**6 + 0 - 2/7*l**7. Factor i(r).
-3*r**3*(r - 1)*(4*r + 1)
Let u be (15/18)/(1050/168). Factor u*x**5 + 0*x**2 + 0*x + 8/15*x**3 + 0 - 2/3*x**4.
2*x**3*(x - 4)*(x - 1)/15
Let h be (0/((-7)/(21/6)))/5. Factor 0*s**3 + h*s - 2/3*s**2 + 1/3 + 1/3*s**4.
(s - 1)**2*(s + 1)**2/3
Let r = -92 - -553/6. Let p be (-3)/(-18) + -3 + 95/30. Factor p - 1/6*u**2 + r*u.
-(u - 2)*(u + 1)/6
Let u = -50299/345 + 44/345. Let g = u + 146. Determine m so that -g*m**3 + 4/3 - 8/3*m + 5/3*m**2 = 0.
1, 2
Let k(q) be the first derivative of -5*q**2 - 26/9*q**3 - 4/3*q - 7. Find o, given that k(o) = 0.
-1, -2/13
Let t(y) = -20*y**3 - 54*y**2 + 22*y + 2. Let s(g) = -20*g**3 - 55*g**2 + 21*g + 3. Let k(d) = 2*s(d) - 3*t(d). Factor k(a).
4*a*(a + 3)*(5*a - 2)
Let j be (-16)/14*(-1988)/1136. Let 0 + 3/4*k**j + 3/2*k - 3/4*k**3 = 0. What is k?
-1, 0, 2
Suppose -9 = -5*p - 4*p. Let f(t) = 0 - 6*t + 1 + 2 - 3*t**2. Let w(a) = -a - 1. Let v(h) = p*f(h) + 3*w(h). Let v(s) = 0. What is s?
-3, 0
Factor 10/7*o**4 + 2/7*o**5 + 0*o**2 + 0 + 0*o + 12/7*o**3.
2*o**3*(o + 2)*(o + 3)/7
Suppose -5*i + 8*i = 0. Let d = 15/17 - 41/85. Factor i - 7/5*z**2 - d*z.
-z*(7*z + 2)/5
Let m(h) be the third derivative of -5/12*h**6 + 0*h**4 - 1/4*h**5 + 0*h + 14*h**2 + 0*h**3 - 1/14*h**7 + 0. Factor m(c).
-5*c**2*(c + 3)*(3*c + 1)
Let h be -10 + ((-14040)/(-91))/15. Let 0 + h*k**3 + 2/21*k**5 - 2/21*k**2 - 2/7*k**4 + 0*k = 0. Calculate k.
0, 1
Let m(y) be the first derivative of -y**6/3 + 2*y**5 - 3*y**4 - 8*y**3/3 + 8*y**2 + 162. Solve m(a) = 0.
-1, 0, 2
Let i = 96 - 90. Factor -13*w + 3*w**2 + 13*w - i*w.
3*w*(w - 2)
Let m = -6915/11 - -629. Let q(f) be the first derivative of 7 - 2/33*f**3 + m*f**2 - 6/11*f. Determine z so that q(z) = 0.
1, 3
Let x be (-45)/(-18)*4/10. Let f(t) = 2*t**3 + t**2. Let i be f(x). Factor 0 - 9/4*p**4 + 0*p - 3/4*p**2 - 3*p**i.
-3*p**2*(p + 1)*(3*p + 1)/4
Let g(i) = 5*i**3 + 67*i**2 - 18*i - 258. Let w(c) = -135*c**3 - 1810*c**2 + 485*c + 6965. Let y(j) = 55*g(j) + 2*w(j). Factor y(o).
5*(o - 2)*(o + 2)*(o + 13)
Let p(n) = -29*n + 3222. Let k be p(111). Find i such that -2*i**5 - 30*i**k - 16*i - 8/3 - 98/3*i**2 - 38/3*i**4 = 0.
-2, -1, -1/3
Let x be 90/24 + 2/8. Find p such that 4*p**4 + 15*p**2 + x*p**5 - 15*p**2 = 0.
-1, 0
Let c(n) be the second derivative of -4*n**3 - 1/4*n**4 + 0 - 24*n**2 + 13*n. Factor c(k).
-3*(k + 4)**2
Let m(a) = 4*a**2 + 4*a + 1. Let y be (-44)/(-8) + 15/(-10). Let b(c) = 3*c**2 + 4*c. Let i(n) = y*m(n) - 5*b(n). Solve i(j) = 0 for j.
2
Suppose -3/5*v**5 + 120*v + 627/5*v**2 + 267/5*v**3 + 204/5 + 33/5*v**4 = 0. Calculate v.
-2, -1, 17
Let s(a) be the third derivative of -17*a**6/40 - 69*a**5/10 - 2*a**4 + 13*a**2 + 6*a. Determine y so that s(y) = 0.
-8, -2/17, 0
Let v be 9/(-6)*1*(-20)/27*9. Factor -40/3*r - v*r**3 - 25*r**2 + 0 + 5/3*r**4.
5*r*(r - 8)*(r + 1)**2/3
Let d(p) be the third derivative of p**8/1344 - 19*p**6/120 + 69*p**5/40 - 279*p**4/32 + 99*p**3/4 + 227*p**2. Let d(x) = 0. Calculate x.
-11, 2, 3
Let z(p) be the second derivative 