derivative of r(t). Factor z(d).
2*(d - 1)*(d + 1)
Factor 0*o**4 - 10*o**4 + 5*o**5 + 6*o**3 - 2*o**5 + o**4.
3*o**3*(o - 2)*(o - 1)
Factor -16/3*i**2 - 2/3*i**3 - 26/3*i - 4.
-2*(i + 1)**2*(i + 6)/3
Let o(z) = -z**5 - z**3 + z**2 - z. Let g(y) = 5*y**5 - 7*y**4 + 3*y**3 - 9*y**2 + 8*y. Let u(s) = 3*g(s) + 24*o(s). Factor u(a).
-3*a**2*(a + 1)**2*(3*a + 1)
Let w = -54 + 57. Let u(j) be the first derivative of 0*j - 2 - 13/14*j**4 + 4/21*j**w + 6/5*j**5 + 0*j**2. Determine r so that u(r) = 0.
0, 2/7, 1/3
Let l(s) be the third derivative of s**6/40 + s**5/4 + 7*s**4/8 + 3*s**3/2 - 3*s**2. Factor l(i).
3*(i + 1)**2*(i + 3)
Let f(p) be the third derivative of 3/224*p**8 + 1/140*p**7 + 0*p**5 + 0*p**6 + 0*p**3 - 2*p**2 + 0*p**4 + 0*p + 0. Factor f(v).
3*v**4*(3*v + 1)/2
Let x = 15251/11 - 1385. Find v such that 0*v + x*v**4 + 10/11*v**5 - 4/11*v**2 + 0 + 2/11*v**3 = 0.
-1, 0, 2/5
Factor 151*r**2 - 149*r**2 - 3*r**3 - r**4 + 2*r**4.
r**2*(r - 2)*(r - 1)
Let r be (-3)/1 + (-130)/(-39). Factor 0*b - r*b**2 + 1/3.
-(b - 1)*(b + 1)/3
Suppose 0*t**2 + 0*t + 0 + 1/12*t**4 + 0*t**3 + 1/12*t**5 = 0. What is t?
-1, 0
Let b(r) be the third derivative of r**8/672 + r**7/140 + r**6/120 + 4*r**2. Factor b(d).
d**3*(d + 1)*(d + 2)/2
Find y such that -2*y**5 - 2*y**5 + 6*y**5 - 16*y**4 + 2*y**5 + 12*y**3 = 0.
0, 1, 3
Let 3/2*x**3 + 0*x - 3/2*x**4 + 0 + 0*x**2 = 0. Calculate x.
0, 1
Let s(m) be the second derivative of -m**8/20160 - m**7/3780 + m**4/4 + m. Let u(q) be the third derivative of s(q). Determine f, given that u(f) = 0.
-2, 0
Let x(d) be the third derivative of d**6/240 + d**5/40 + d**4/24 + 16*d**2. Suppose x(w) = 0. What is w?
-2, -1, 0
Let p(g) = g**3 - g**2 - g. Let f(l) = -2*l**3 + 2*l + 1. Let n(v) = -f(v) - p(v). Find s such that n(s) = 0.
-1, 1
Let w = 2 + 0. Suppose 3*m - 13 = -w*h, -2*h = -4*h + 3*m - 5. Solve 0 - 1/2*j**h - 3/4*j**3 + 0*j - 1/4*j**4 = 0 for j.
-2, -1, 0
Let j(b) be the second derivative of b**5/60 - b**4/18 - b**3/6 + 9*b. Suppose j(o) = 0. What is o?
-1, 0, 3
Let h(y) = -2*y**4 + 10*y**3 - 4*y**2 - 4*y. Let k(b) = -5*b**4 + 30*b**3 - 11*b**2 - 11*b. Let f(l) = 11*h(l) - 4*k(l). Solve f(t) = 0.
-5, 0
Let d(l) = l**2 + 4*l + 2. Let h be d(-4). Let y(o) be the second derivative of -1/42*o**4 + 0 - 2/21*o**3 - 4*o + 0*o**h. Let y(i) = 0. What is i?
-2, 0
Let i = 0 - 1. Let w(l) = -l**3 + l**2 + l - 1. Let b(v) = -3*v**2 - 4*v + 4 + 5*v**3 + 0*v + 0*v**3. Let h(m) = i*b(m) - 4*w(m). Factor h(u).
-u**2*(u + 1)
Let l(w) be the second derivative of -w**3/6 - 5*w**2/2 + w. Let o be l(-7). Let 3*k**2 - k**o - k + 9 - 10 = 0. What is k?
-1/2, 1
Let l(y) be the first derivative of 4/5*y**3 - 1/5*y**2 - 5 + 0*y. Find a such that l(a) = 0.
0, 1/6
Let w = -36 + 39. Factor 2*c**w - 4/3*c**2 + 0*c + 14/3*c**5 + 0 + 8*c**4.
2*c**2*(c + 1)**2*(7*c - 2)/3
Let g be 7/21 + 3/(-9). Factor 0*o + 0*o**2 - 1/2*o**5 + 0 + 0*o**3 + g*o**4.
-o**5/2
Let a(o) be the first derivative of -o**4/3 + 2*o**3 - 4*o**2 - 2*o - 2. Let h(r) be the first derivative of a(r). Let h(s) = 0. Calculate s.
1, 2
Let s(o) = -540*o**3 + 2025*o**2 - 1620*o - 485. Let r(g) = -20*g**3 + 75*g**2 - 60*g - 18. Let q(t) = -55*r(t) + 2*s(t). Suppose q(j) = 0. What is j?
-1/4, 2
Let h = -21 + 24. Factor h*j**2 - 5*j**2 + 6*j - 4*j.
-2*j*(j - 1)
Let b(x) be the third derivative of x**8/14 - x**7/3 + x**6/5 + 31*x**5/30 - 2*x**4 + 4*x**3/3 - 7*x**2. Solve b(m) = 0 for m.
-1, 1/4, 2/3, 1, 2
Let q(x) be the second derivative of -x**7/42 - x**6/30 + x**5/10 + x**4/6 - x**3/6 - x**2/2 + 6*x. Factor q(a).
-(a - 1)**2*(a + 1)**3
Let a = 209/36 + -50/9. Find l, given that 0 - a*l**2 - 1/4*l**3 + 0*l = 0.
-1, 0
Let k(h) = -2*h - 8. Let a be 1/(1*(-3)/15). Let b be k(a). Factor -2*y**5 - 22/7*y**3 - 32/7*y**4 + 0 - 4/7*y**b + 0*y.
-2*y**2*(y + 1)**2*(7*y + 2)/7
Let k(t) be the first derivative of t**6/6 + 2*t**5/5 - 7*t**4/4 + 4*t**3/3 + 10. Factor k(r).
r**2*(r - 1)**2*(r + 4)
Suppose p - 3*p + 2 = -4*z, 2*p - 7 = -z. Suppose p*v = -0*v. Find i, given that 2/7*i**2 + 0*i + v = 0.
0
Let v be ((2/8)/(6/(-24)))/(-2). Factor -1/4*d**3 - v + 1/4*d + 3/4*d**2 - 1/4*d**4.
-(d - 1)**2*(d + 1)*(d + 2)/4
Let g(y) be the second derivative of 3*y**5/20 - y**4/4 - y**3 + 6*y. Factor g(h).
3*h*(h - 2)*(h + 1)
Find w such that -3/7*w**2 + 1/7*w**4 + 5/7*w - 2/7 - 1/7*w**3 = 0.
-2, 1
Let b(t) = 27*t**2 - 51*t + 12. Let p(s) = s. Let q(r) = b(r) + 12*p(r). Factor q(g).
3*(g - 1)*(9*g - 4)
Factor 0 + 2/5*a**3 + 4/5*a**2 + 2/5*a.
2*a*(a + 1)**2/5
Let l be (-3)/(-15)*-483 + -3. Let s = 100 + l. Factor -s - 4/5*y - 2/5*y**2.
-2*(y + 1)**2/5
Let o(a) = 4*a - 2. Let t be o(3). Suppose -7*v - 13*v - 5*v - v + t*v**2 - 12 = 0. What is v?
-2/5, 3
Let t be ((-18)/(-168))/((-6)/(-8)). Let y(g) be the first derivative of -2/7*g**3 + 2 + 0*g - t*g**2. Factor y(w).
-2*w*(3*w + 1)/7
Let k be (-9)/4*4/(-3). What is p in 12*p**3 + p**3 - 4*p**3 - 12*p + k*p**4 = 0?
-2, 0, 1
Let n(y) = -3*y**3 - 9*y**2 - 9*y - 8. Let p(j) = 3*j**3 + 9*j**2 + 9*j + 7. Let l(u) = 3*u - 17. Let v be l(7). Let k(a) = v*n(a) + 5*p(a). Factor k(t).
3*(t + 1)**3
Let n = -128/3 - -43. Let i(k) be the first derivative of n*k**3 + 4*k + 3 + 2*k**2. Solve i(o) = 0.
-2
Suppose 39 = -5*u + 3*a, -3*a + 0*a - 21 = 5*u. Let m = -2 - u. Find f, given that 3*f**2 + 16*f**3 + 4 - 10*f - 10*f + 4*f + f**4 - 8*f**m = 0.
-1, 2/7, 1, 2
Let p(n) be the first derivative of -n**3/2 + 11*n**2/12 - n/3 - 7. Determine r, given that p(r) = 0.
2/9, 1
Suppose 16 = x - 0*x + 3*y, 5*x - 10 = -y. Suppose -j + x + 2 = 0. Determine n, given that 0 - 1/2*n**5 - 1/2*n**4 + 0*n**2 + 0*n**j + 0*n = 0.
-1, 0
Suppose 3*y - y**2 - 2*y - y = 0. Calculate y.
0
Factor 0*q + 5*q**2 - q - 9*q - 5*q.
5*q*(q - 3)
Let z(j) = 3*j**4 - 3*j**2. Let u(f) = f**4 - f**2. Let h(b) = 4*u(b) - z(b). Suppose h(s) = 0. What is s?
-1, 0, 1
Let o(k) be the third derivative of k**8/10080 - k**7/630 + k**6/90 - k**5/20 - 3*k**2. Let b(p) be the third derivative of o(p). Find r, given that b(r) = 0.
2
Let o(y) be the first derivative of -2*y**3/39 + 3*y**2/13 - 3. Let o(m) = 0. What is m?
0, 3
Factor -6*c**4 + 2*c - 2*c**2 - 2*c + 7*c**3 + c**3.
-2*c**2*(c - 1)*(3*c - 1)
Suppose 0 = -2*d + 1 + 3. Let s(g) be the first derivative of -1/12*g**3 - 1/8*g**d + 1/2*g + 1. Factor s(x).
-(x - 1)*(x + 2)/4
Suppose 5*i + 9 = 5*a - a, 2*a = i + 9. Let y(t) = -t**3 + 5*t**2 + 5*t + 6. Let p be y(a). Factor 0 - 1/3*u**3 - 1/3*u**2 + p*u.
-u**2*(u + 1)/3
Suppose 0 = 5*y - 2*y. Factor 2/5*i**2 + 2/5*i + y.
2*i*(i + 1)/5
Let c(p) = 15*p**2 + 16*p + 27. Let w(n) = 4*n**2 + 4*n + 7. Suppose 3*g - 32 = 34. Let m(i) = g*w(i) - 6*c(i). Determine r, given that m(r) = 0.
-2
Let h(o) = 17*o**4 - 8*o**3 - 12*o**2 + 8*o + 5. Let j(l) = 84*l**4 - 39*l**3 - 60*l**2 + 39*l + 24. Let w(v) = 24*h(v) - 5*j(v). Suppose w(y) = 0. Calculate y.
-1, 0, 1/4, 1
Suppose -12 = m - s - 0, -5*m - 74 = 2*s. Let i = 128/9 + m. Solve 2/9 + i*u**2 - 4/9*u = 0 for u.
1
Let y be (-6)/15 + 48/45. Suppose 2/3*z**3 + 0 - 2/3*z**2 - 2/3*z + y*z**4 = 0. Calculate z.
-1, 0, 1
Factor -6*k**2 + 38*k**3 + 4*k + 19*k**5 + 9*k + 22*k**4 + 38*k**2 + 2 - 14*k**5.
(k + 1)**4*(5*k + 2)
Let g(o) be the third derivative of o**8/336 + o**7/210 - o**6/40 - o**5/60 + o**4/12 + 38*o**2. Factor g(c).
c*(c - 1)**2*(c + 1)*(c + 2)
Let w(q) be the third derivative of -q**6/120 + q**5/20 - q**4/12 - 4*q**2. Let v be w(2). Find o, given that 0*o**3 + 0*o + 0 - 2/9*o**5 + 0*o**2 + v*o**4 = 0.
0
Let g(n) = n - 5. Let f be g(5). Suppose f = i + i - 6. Factor 6*x**2 - i*x + 3 - 1 - 5*x.
2*(x - 1)*(3*x - 1)
Suppose -1 = 5*q + 2*x, -6*q + 3*x = -2*q + 10. Let t(z) = 2*z**3 - 2*z**2 + 6*z + 2. Let o(k) = -k**2 - 1. Let b(i) = q*t(i) - 4*o(i). Factor b(l).
-2*(l - 1)**3
Let 2*f**2 + f**2 - 4*f**2 + 1 = 0. Calculate f.
-1, 1
Let b(x) be the second derivative of x**7/252 - x**6/60 + x**5/60 + x**4/36 - x**3/12 + x**2/12 + 3*x. Factor b(a).
(a - 1)**4*(a + 1)/6
Let q be 10*(243/42)/9. Factor -30/7*u**2 + 0*u - 12/7*u**5 - 60/7*u**3 - q*u**4 + 3/7.
-3*(u + 1)**4*(4*u - 1)/7
Let n be (-5)/1*-4*(-5)/(-350). Suppose -2*y + 6 + 0 = 0. Solve -n*t**2 + 0 - 2/7*t**y + 0*t = 0.
-1, 0
Let t(i) be the third derivative of i**5/20 + 3*i**4/2 + 18*i**3 - 40*i**2. Find r, given that t(r) = 0.
-6
Let s = 617