late b.
0, 1
Factor -3/2*v + 0 - 9/8*v**2 + 3/8*v**3.
3*v*(v - 4)*(v + 1)/8
Solve 245/6*w**5 + 260*w + 4445/6*w**2 + 30 + 4675/6*w**3 + 1855/6*w**4 = 0.
-3, -1, -2/7
Let m(o) be the third derivative of -o**9/241920 - o**8/26880 - o**7/6720 - o**6/2880 + o**5/3 + 21*o**2. Let n(h) be the third derivative of m(h). Factor n(b).
-(b + 1)**3/4
Let w = 18 - 3. Solve 15*h**2 + 31*h - 5*h**3 - w*h**4 - 21*h - 4*h**5 - h**5 = 0.
-2, -1, 0, 1
Let w(f) be the third derivative of -1/12*f**4 - 1/120*f**5 + 0*f - 4*f**2 + 0*f**3 + 0. Factor w(v).
-v*(v + 4)/2
Find f, given that 10/23*f**3 + 6/23*f - 2/23*f**4 + 0 - 14/23*f**2 = 0.
0, 1, 3
Let v(n) be the third derivative of -1/120*n**6 + 0 + 0*n + 26*n**2 - 1/6*n**3 + 1/60*n**5 + 1/24*n**4. Factor v(o).
-(o - 1)**2*(o + 1)
Let x = -1116 - -1121. Let j(c) be the third derivative of 0*c**x - 3/80*c**6 - 1/70*c**7 - 3*c**2 + 0*c**3 + 0 - 1/672*c**8 + 0*c**4 + 0*c. Factor j(h).
-h**3*(h + 3)**2/2
Let u(x) be the first derivative of -7*x**4/2 - 10*x**3/3 + 11*x**2 + 18*x - 398. Factor u(w).
-2*(w + 1)**2*(7*w - 9)
Let t(k) be the first derivative of -k**6/24 - k**5/40 + 5*k**4/32 + k**3/24 - 3*k**2/16 + 373. Determine b so that t(b) = 0.
-3/2, -1, 0, 1
Factor 4756 - 13*q**2 + 20444 + 1300*q + 8*q**2 - 109700.
-5*(q - 130)**2
Let k(r) = -r**2 - 65*r - 402. Let f be k(-58). Factor f*a + 0 + 2/5*a**2.
2*a*(a + 10)/5
Let w = 4 + 0. Factor 4*d**4 - 25*d**3 + 3*d**w + 2*d**4 - 3*d**5 + 19*d**3.
-3*d**3*(d - 2)*(d - 1)
Suppose 4*z - 2*c = 44, -c = 5*z + 4*c - 85. Suppose 17*h - 16 = z*h. Factor 3/5*w + 3/5*w**h - 3/5*w**2 + 0 - 3/5*w**3.
3*w*(w - 1)**2*(w + 1)/5
Let s(z) be the second derivative of z**7/49 + 16*z**6/105 + z**5/35 - 8*z**4/21 - 5*z**3/21 - 178*z. Determine m so that s(m) = 0.
-5, -1, -1/3, 0, 1
Let x(n) = -4. Let c(z) = 7. Let r(u) = -3*c(u) - 5*x(u). Let f(q) = 4*q**2 + 1 + 83*q + 86*q - 181*q. Let s(w) = f(w) + r(w). Factor s(m).
4*m*(m - 3)
Let q be 10/(-8) - 1/(-4). Let y = 4 + q. Suppose 3*x**4 - 4*x**4 + 2*x**3 + 2*x**2 - x**y + 0*x**4 = 0. Calculate x.
-1, 0, 2
Factor -25/7 - 1/7*f**3 + 9/7*f**2 - 15/7*f.
-(f - 5)**2*(f + 1)/7
Let r be -1*10/(-140)*8. Solve 24/7*l**2 + 2/7*l - 20/7*l**4 - 2/7*l**3 - r = 0 for l.
-1, -1/2, 2/5, 1
Let w(n) be the third derivative of -n**5/210 - n**4/6 - 7*n**3/3 + 26*n**2 + n. Factor w(c).
-2*(c + 7)**2/7
Let o(t) be the first derivative of t**5/20 - 17*t**4/4 + 289*t**3/2 - 4913*t**2/2 + 83521*t/4 + 169. Factor o(u).
(u - 17)**4/4
Let u(w) = 11*w - 62. Let i be u(6). Suppose -58 + 58 + 6*x**i - 2*x**5 - x**5 = 0. Calculate x.
0, 2
Suppose -2*g + 24 = -r, 0*g - 14 = -g + r. Factor -7*h + 6*h + 10*h - g*h**2 - 2*h**2 + 3*h**3.
3*h*(h - 3)*(h - 1)
Let o be 12/(-1 - 15/(-6)). Suppose -15 = 3*p - o*p. Determine c so that -36*c + 9*c**4 + 44*c**4 + 15*c**5 - 42*c**2 - 24 + 69*c**p - 48*c + 13*c**4 = 0.
-2, -1, -2/5, 1
Let k(s) = 8*s + 21. Let x be k(14). Factor -133 - 168*h**2 + 75*h**4 + 23*h + 165*h**3 + x + 13*h.
3*h*(h + 3)*(5*h - 2)**2
Let o be (6 + (-216)/21)*(-7)/2. Suppose 19*d = o*d. Determine w so that d*w + 3/5*w**2 + 0 = 0.
0
Let n(g) be the first derivative of -g**6/6 + 5*g**4/12 - 3*g - 45. Let d(s) be the first derivative of n(s). Factor d(w).
-5*w**2*(w - 1)*(w + 1)
Let z(a) = -4*a**4 - 8*a**3 + 4*a**2 + 6*a - 2. Let k(f) = f**5 + f**4 + f**3 - f**2 - f + 1. Let p(w) = 2*k(w) + z(w). What is m in p(m) = 0?
-1, 0, 1, 2
Solve -1/2*y**2 + 149*y - 22201/2 = 0.
149
Suppose 16 - 21 = -y. Let a(t) be the second derivative of 2/3*t**4 + 13/25*t**y + 4*t + 7/75*t**6 - 8/15*t**3 + 0*t**2 + 0. Solve a(r) = 0.
-2, 0, 2/7
Let b be ((-4)/(-8))/((-3)/72). Let p(o) = -15*o**3 - 31*o**2 - 12*o - 1. Let j(z) = 38*z**3 + 78*z**2 + 30*z + 2. Let q(f) = b*p(f) - 5*j(f). Factor q(r).
-2*(r + 1)**2*(5*r - 1)
Suppose -493*r + 494*r = 2. Let z(q) be the first derivative of r + 0*q - 1/4*q**2 - 1/6*q**3. Solve z(w) = 0.
-1, 0
Let y(u) be the second derivative of u**7/14 + u**6/5 - 3*u**5/20 - u**4/2 + 4*u - 16. Factor y(m).
3*m**2*(m - 1)*(m + 1)*(m + 2)
Let h(d) = -2*d**3 - 11*d**2 + 3. Let f(x) = 3*x**3 + 17*x**2 - 4. Suppose 7*n = 3*n + 32. Let r(s) = n*h(s) + 5*f(s). Find j, given that r(j) = 0.
-2, 1
Let s = 1048 - 582. Let c = s + -5118/11. Solve 2/11 + 2/11*o**4 + c*o + 12/11*o**2 + 8/11*o**3 = 0 for o.
-1
Let l(u) = 13*u**4 + 75*u**3 + 59*u**2 - 85*u - 67. Let w(f) = 7*f**4 + 37*f**3 + 29*f**2 - 43*f - 33. Let o(i) = 3*l(i) - 5*w(i). Factor o(n).
4*(n - 1)*(n + 1)**2*(n + 9)
Let r(s) be the second derivative of s**10/22680 - s**8/1680 - s**7/945 + s**4/2 + 15*s. Let d(n) be the third derivative of r(n). Find a, given that d(a) = 0.
-1, 0, 2
Let y(p) = -p**2 - 1. Let u(s) = -3*s**2 + 2*s - 4. Let f(n) = u(n) - 4*y(n). Factor f(k).
k*(k + 2)
Let z = -219/10 - -1553/70. Suppose 0 + z*l**5 + 2/7*l**3 + 0*l + 0*l**2 + 4/7*l**4 = 0. What is l?
-1, 0
Let o be -2*((-12)/3 - -2). Suppose 3*r + o*d = -r + 16, 4*d - 8 = 0. Factor 3*h**2 - 3*h**2 + r + 3*h - h**2 + 2*h**2.
(h + 1)*(h + 2)
Let f(k) = k**2 - 8*k + 7. Let o be f(8). Suppose -o*w - 10 = -38. Find i, given that -7*i**3 - 6*i**2 + 10*i**5 + i**w - 3*i**3 + 4*i - 4*i**3 + 5*i**4 = 0.
-1, 0, 2/5, 1
Suppose 13 = 2*w + 5*f, w + f = 6*f - 1. Suppose -b + w = 2. Factor 0 + 3*i + i + 2*i**b + 0.
2*i*(i + 2)
Suppose -5/4*y**2 - 1/2*y - 3/4*y**3 + 0 = 0. What is y?
-1, -2/3, 0
Let b be (((-3)/9)/((-18)/(-27)))/(-1). Let h be (-10)/(-25) - 2/5. Solve 0 - b*y**3 - 1/4*y**4 + h*y - 1/4*y**2 = 0.
-1, 0
Let q be (-3)/14*(-420)/150. Factor 0*r + 2/5*r**2 + 1/5*r**4 + 0 - q*r**3.
r**2*(r - 2)*(r - 1)/5
Suppose 0 = 6*y - 2*y + 2*h + 30, -5*y - 25 = 5*h. Let r = 15 + y. Factor 2*f**3 + 1 + 3*f**2 - f**5 - f - 2*f**2 + 0*f**r - 3*f**2 + f**4.
-(f - 1)**3*(f + 1)**2
Suppose -6*k = 4*k - 10. Let b be 38/4 + (k - 12/8). Suppose 3/4*j**3 + 9/2*j**2 + 6 + b*j = 0. Calculate j.
-2
Let q(r) be the first derivative of 7*r**6/5 + 3*r**5/25 - 9*r**4/20 + 208. Solve q(j) = 0 for j.
-1/2, 0, 3/7
Let x = -396 - -400. Let a(b) be the second derivative of 6*b + 0 + 0*b**2 + 1/12*b**3 - 1/24*b**x. Suppose a(i) = 0. Calculate i.
0, 1
Let k(c) be the third derivative of -c**6/120 + c**4/8 + c**3/3 - 136*c**2. Factor k(q).
-(q - 2)*(q + 1)**2
Suppose -4 = t - 2*b, 3*t + 3 + 1 = -2*b. Let n be (6/(-4))/(t/8). Let 6 + n*r**2 - 6 + 3*r**3 - r**3 = 0. What is r?
-3, 0
Let a(o) be the third derivative of o**5/75 - 17*o**4/60 - 3*o**3/5 + 82*o**2. Find t, given that a(t) = 0.
-1/2, 9
Suppose j - 6*j - 5*s = 0, -j = -5*s. Let k be (0/(1 - (j + -1)))/2. Factor -9/4*p**2 + 3/4*p**3 + 3 + k*p.
3*(p - 2)**2*(p + 1)/4
Let c be (28/(-30) + (-24)/60)/(-2). Let n(o) be the first derivative of -2 - 3/4*o**4 + 0*o**2 + c*o**3 + 0*o. Factor n(z).
-z**2*(3*z - 2)
Let b(q) be the first derivative of 0*q**2 - 1/6*q + 42 + 1/9*q**3 - 1/30*q**5 + 0*q**4. Factor b(h).
-(h - 1)**2*(h + 1)**2/6
Let c(i) = i**2 - 6*i - 385. Let p be c(-17). Let f(h) be the third derivative of 0*h + 0 - 3*h**2 + 1/90*h**p - 2/45*h**5 + 0*h**3 + 0*h**4. Factor f(t).
4*t**2*(t - 2)/3
Let k(i) be the third derivative of i**6/90 + i**5/6 - i**4 - i**3/2 + 31*i**2. Let x(v) be the first derivative of k(v). Let x(g) = 0. Calculate g.
-6, 1
Let k(a) be the first derivative of 2*a**3/27 + 35*a**2/9 + 68*a/9 + 412. Factor k(f).
2*(f + 1)*(f + 34)/9
Let c(m) = -4*m**3 - 12*m**2 + 20*m - 20. Let z(x) = 2*x**2 + 1 + 7*x**2 - 8*x**2. Let s(w) = -c(w) - 8*z(w). Let s(l) = 0. What is l?
-3, 1
What is j in -42/11 - 1/11*j**2 - 17/11*j = 0?
-14, -3
Find c, given that -4/5 + 14/15*c + 2/3*c**3 + 12/5*c**2 = 0.
-3, -1, 2/5
Suppose -4*h - 3 = -5*h. Factor -11*i**3 + 9*i**h + 2*i + 0*i.
-2*i*(i - 1)*(i + 1)
Let u(s) be the third derivative of 2*s**2 + 1/70*s**7 + 0*s**3 + 0*s**4 + 0*s**6 + 0*s - 1/20*s**5 + 0. What is i in u(i) = 0?
-1, 0, 1
Let a(y) be the second derivative of -y**6/480 - y**5/120 - 5*y**2 - y. Let r(q) be the first derivative of a(q). Factor r(n).
-n**2*(n + 2)/4
Let k(a) be the first derivative of -2*a**6/3 + 4*a**5/5 + 7*a**4 - 4*a**3/3 - 12*a**2 - 76. What is p in k(p) = 0?
-2, -1, 0, 1, 3
Let x(m) be the third derivative of m**7/105 + 4*m**6/15 + m**5/2 - 39*m**2. Find l, given that x(l) = 0.
-15, -1, 0
Let n(d) = -d**3 - 13*d**2 + 46*d - 22. Let k be n(-16). Let t be k*(2 + 40/(-25)). Solve -2/7*