l(t) = 0. Calculate t.
-1, 0
Let x(o) be the second derivative of o**5/45 + 2*o**2 + 5*o. Let c(j) be the first derivative of x(j). Factor c(n).
4*n**2/3
Let j(h) be the third derivative of h**8/3360 + h**7/720 + h**6/720 - h**5/30 - h**2. Let q(p) be the third derivative of j(p). Factor q(f).
(f + 1)*(6*f + 1)
Let r(o) be the second derivative of o**8/5040 - o**6/1080 - o**3/6 - 2*o. Let n(u) be the second derivative of r(u). Factor n(p).
p**2*(p - 1)*(p + 1)/3
Factor -5 + 2*v**3 + 2*v**2 + 5 + 0.
2*v**2*(v + 1)
Let l be (-1 - (-4)/(-2)) + 110/30. Factor -3*d**2 + 5/3*d - 5/3*d**3 + l + 7/3*d**4.
(d - 1)**2*(d + 1)*(7*d + 2)/3
Let f(t) be the third derivative of t**9/3024 - t**8/1680 - 5*t**3/6 + 5*t**2. Let m(h) be the first derivative of f(h). Factor m(o).
o**4*(o - 1)
Let j(p) = -p**2 - 8*p - 5. Let g(i) = -3*i - 1. Let a be g(2). Let z be j(a). Factor 2 + 3*v**z - 4*v - v**2 + 0*v**2.
2*(v - 1)**2
Let r(g) be the second derivative of 0*g**2 + 0 - 1/3*g**3 + g - 1/6*g**4. Factor r(v).
-2*v*(v + 1)
Let p(k) be the second derivative of k**6/60 + k**5/30 - k**4/12 - k**3/3 + 5*k**2/2 + k. Let s(i) be the first derivative of p(i). Solve s(l) = 0 for l.
-1, 1
Solve j + 7/2*j**2 + j**3 - 3/2 = 0.
-3, -1, 1/2
Solve -2*d**3 + d**2 + 3*d**3 - 2*d + 2*d**2 - 2*d**2 = 0.
-2, 0, 1
Let y be ((-12)/(-30))/(4/5). Let s(g) be the first derivative of 2*g**3 + 2*g + 2 - 3*g**2 - y*g**4. Factor s(n).
-2*(n - 1)**3
Let s(a) = a**2 + a + 2. Let y(u) = -3*u**2 - 2*u - 5. Let v(b) = -5*s(b) - 2*y(b). Factor v(i).
i*(i - 1)
Let m(n) be the first derivative of -3/5*n**5 + n**3 + 3/4*n**4 - 7 + 0*n - 3/2*n**2. Factor m(c).
-3*c*(c - 1)**2*(c + 1)
Let a be (-132)/(-70) + -2 + (-16)/(-40). Factor 2/7*r + 4/7 - a*r**2.
-2*(r - 2)*(r + 1)/7
Let q(s) be the second derivative of -s**7/840 + s**6/120 - s**5/60 - s**3/3 + 5*s. Let g(l) be the second derivative of q(l). Determine w, given that g(w) = 0.
0, 1, 2
Let v(d) be the first derivative of d**6/180 - d**5/60 - d**3 + 1. Let c(g) be the third derivative of v(g). Factor c(j).
2*j*(j - 1)
Factor 0*v**2 - 2*v**2 + 17*v - v - 20 - 2*v.
-2*(v - 5)*(v - 2)
Let g = -180 - -2342/13. Factor -8/13*k + 8/13*k**3 - g + 2/13*k**2.
2*(k - 1)*(k + 1)*(4*k + 1)/13
Let j = 10 - 10. Factor 4*g**2 - 2*g**2 + j - 2 + 0.
2*(g - 1)*(g + 1)
Let h = 1/316 - -625/2212. Let i(p) be the second derivative of 0 + 1/7*p**3 + h*p**2 + 1/42*p**4 - p. Determine b so that i(b) = 0.
-2, -1
Let t(y) be the third derivative of -y**7/126 - 11*y**6/72 - 2*y**5/3 + 5*y**4/2 - 28*y**2. Factor t(k).
-5*k*(k - 1)*(k + 6)**2/3
Let c = -374/3 + 125. What is o in -o - 1/3 - o**2 - c*o**3 = 0?
-1
Let v(n) = -n**2 - 4*n - 1. Let b be v(-5). Let f(l) = 3*l**3 - 9*l. Let j = -1 + 0. Let p(r) = -r**4 + r**3 + r. Let z(h) = b*p(h) + j*f(h). Factor z(t).
3*t*(t - 1)**2*(2*t + 1)
Suppose -1/7*v**4 + 3/7*v**2 - 2/7 - 1/7*v**3 + 1/7*v = 0. Calculate v.
-2, -1, 1
Let c(t) be the first derivative of -t**6/2 - 3*t**5/5 + 3*t**4/2 + 2*t**3 - 3*t**2/2 - 3*t - 7. Let c(n) = 0. Calculate n.
-1, 1
Let a(y) be the third derivative of y**7/1575 + y**6/450 + y**5/300 - y**4/8 - 7*y**2. Let m(w) be the second derivative of a(w). Determine f so that m(f) = 0.
-1/2
Factor -1/5*g - 1/5*g**2 + 0.
-g*(g + 1)/5
Let r be (-2)/3 - (-15)/20. Let q(k) be the first derivative of -r*k**3 + 2 + 1/8*k**2 + 0*k. Find p such that q(p) = 0.
0, 1
Let o be (-5)/((-150)/(-116)) + 4. Let h(y) be the first derivative of 2/9*y**3 - 1/9*y**6 - 2 - o*y**5 + 1/6*y**4 + 0*y**2 + 0*y. Factor h(t).
-2*t**2*(t - 1)*(t + 1)**2/3
Let 0*i**2 + 2/11*i**5 + 0 + 0*i + 2/11*i**3 - 4/11*i**4 = 0. What is i?
0, 1
Factor -343/4*g**3 + 4 - 35*g + 98*g**2.
-(7*g - 4)*(7*g - 2)**2/4
Let o = -59 + 63. Let m(u) be the first derivative of 1/2*u**o + 0*u - 2/3*u**3 - 1/3*u**6 + 3 + 2/5*u**5 + 0*u**2. Let m(k) = 0. What is k?
-1, 0, 1
Suppose -3*i - 5*k = 0, 3*i + k = -0*i. Factor 2*t**2 + 2*t**4 - 3*t**3 + i - 1/2*t - 1/2*t**5.
-t*(t - 1)**4/2
Let z(m) be the first derivative of 3 + 2/21*m**3 - 1/7*m**2 + 0*m. What is n in z(n) = 0?
0, 1
Let w = 4 - 0. Suppose w*o + 0 = 12. Suppose 8*k + 4*k**2 + 2 + 2*k**o + 2*k**2 - 2*k = 0. What is k?
-1
Let y = -12 - -21. Let o be (4/3)/(3/y). Solve h + 0*h**2 - 2*h**2 + h - 4 + o*h = 0.
1, 2
Solve 36/7*x**2 - 3/7*x**3 - 144/7*x + 192/7 = 0 for x.
4
Let c(k) = -k + 3. Let z be c(-1). Let s(g) be the first derivative of -1 + 0*g**3 + 0*g + 2/5*g**5 + 1/6*g**6 + 0*g**2 + 1/4*g**z. Factor s(v).
v**3*(v + 1)**2
Let t be 4/(-14)*(-7)/6. Solve 0 + 1/3*h**2 - t*h = 0.
0, 1
Determine c, given that 4*c**2 + 2*c**4 - 14*c + 6*c**3 - 13*c + 27*c = 0.
-2, -1, 0
Let o = 67 + -67. Factor o - 2/5*s**2 + 0*s - 8/5*s**3.
-2*s**2*(4*s + 1)/5
Let j(u) = 4 + 1 + 5*u + 4*u**2 - 11 - 3*u**2. Let v(n) = 2*n + 8 - 3 - 6*n - n**2. Let t(m) = 6*j(m) + 7*v(m). Factor t(l).
-(l - 1)**2
Let a = 23 + -11. Solve 0*g + g**4 - 2*g**2 - 14*g**3 + g + 1 + g**5 + a*g**3 = 0 for g.
-1, 1
Let q = 563025/11228 + -3/1604. Let m = q - 49. Determine u, given that -10/7*u + m*u**2 - 2/7*u**3 + 4/7 = 0.
1, 2
Let k be (1 + -2)/(1/(-3)). Let v be (-1*k)/(-4 + 3). Determine p so that -3*p**3 + 2 + p - p**3 + 3*p**v - 2*p**2 = 0.
-2, -1, 1
Factor -8/7*k + 5/7*k**2 + 4/7 - 1/7*k**3.
-(k - 2)**2*(k - 1)/7
Let a(f) be the second derivative of f**4/18 - f**3/3 + 11*f. Find d, given that a(d) = 0.
0, 3
Let a(k) be the first derivative of -k**7/126 + k**5/60 + 2*k - 4. Let n(z) be the first derivative of a(z). Determine w so that n(w) = 0.
-1, 0, 1
Let t = -2/677 + 977/101550. Let j(h) be the third derivative of 0*h**4 + t*h**5 + 0 + 0*h - 1/15*h**3 - h**2. Factor j(i).
2*(i - 1)*(i + 1)/5
Let p(v) = -37*v**3 - 17*v**2 - v + 7. Let l(x) = 6*x**3 + 4*x**2 - 1. Let h(t) = -t**2. Let j(k) = 3*h(k) + 3*l(k). Let z(u) = -7*j(u) - 3*p(u). Factor z(b).
-3*b*(b + 1)*(5*b - 1)
Let s(i) be the second derivative of 5/48*i**4 + 0 - 1/3*i**3 - 1/80*i**5 + 1/2*i**2 - 3*i. Factor s(o).
-(o - 2)**2*(o - 1)/4
Let j(n) = -6*n**2 - 8*n - 8. Let m(t) = 19*t**2 + 24*t + 26. Let c(w) = -7*j(w) - 2*m(w). Find h such that c(h) = 0.
-1
Let w(s) be the first derivative of -4*s**3/3 - s**2 + 4. Find x such that w(x) = 0.
-1/2, 0
Let w(h) = -3*h**2 - h - 2*h**2 + 6*h**2. Let o be w(2). Find q, given that 4 - 2*q**o + 3 - 5 + 0 = 0.
-1, 1
Let h(a) be the third derivative of -a**8/1848 + a**7/385 - a**6/330 - a**5/165 + a**4/44 - a**3/33 - 16*a**2. Suppose h(q) = 0. What is q?
-1, 1
Let w(x) = -x + 0 - 5 - 1. Let u be w(-6). What is h in -1 - 1 + h + u + h**2 = 0?
-2, 1
Let k(d) = 1. Let w(h) = h**2 + 6. Let z(o) = -5*k(o) + w(o). Let q be z(-1). Let -2/5*a**q + 0*a + 0 = 0. Calculate a.
0
Let u(t) = -t**2 + 5*t. Let r be u(4). Suppose 10*v - 5*v = 0. Find h such that 8*h**2 - 11*h + h + v*h**3 - 2*h**3 + r = 0.
1, 2
Determine n so that -16/13*n**2 - 10/13*n**3 - 2/13*n**4 + 0 - 8/13*n = 0.
-2, -1, 0
Let y(k) = k**3 + k**2 - 2*k + 3. Let c be y(2). Let q = c + -7. Factor q*m**2 + 0*m**2 - m**4 - 3*m**2.
-m**2*(m - 1)*(m + 1)
Let g(h) = -53*h**3 + 160*h**2 - 79*h + 8. Let x(n) = -26*n**3 + 80*n**2 - 40*n + 4. Let o(f) = -6*g(f) + 11*x(f). Suppose o(d) = 0. Calculate d.
1/4, 2
Let g(p) be the first derivative of 0*p + 2/5*p**5 + 0*p**3 + 1 + 0*p**2 - 1/4*p**4 - 1/6*p**6. Factor g(z).
-z**3*(z - 1)**2
Suppose f + 4*y = -8, -4 = 2*f + 5*y - y. Suppose -f = 3*g - d - 0, 2*d = -2*g + 8. Factor 2/3*j**2 + g*j + 0 - 2/3*j**3.
-2*j**2*(j - 1)/3
Suppose h = -h. Solve -14*z + h*z**3 + 15*z - z**3 = 0.
-1, 0, 1
Let n(r) = -r**3 + 5*r**2 - 3*r - 4. Let z be n(4). Suppose -5*a = -5 - z. Solve a + 2*q**2 + q + 0 + 6*q - 4*q = 0 for q.
-1, -1/2
Suppose 14*s = 16*s - 10. Let o(m) be the third derivative of -1/240*m**6 + 1/120*m**s + 0*m**4 + 0*m + 0 - 2*m**2 + 0*m**3. Factor o(a).
-a**2*(a - 1)/2
Let c(w) = w. Let h(n) = -n - 7. Let b be h(-8). Let d(i) = -7*i**4 + 5*i**3 + 2*i**2 + i. Let v(m) = b*d(m) - c(m). Factor v(o).
-o**2*(o - 1)*(7*o + 2)
Let b(i) be the second derivative of -1/27*i**3 - 3*i + 0*i**2 + 1/27*i**4 - 1/90*i**5 + 0. Solve b(w) = 0.
0, 1
Let h(i) = 4*i - 66. Let q be h(17). Factor 2/9*f**q - 2/9 - 2/9*f**3 + 2/9*f.
-2*(f - 1)**2*(f + 1)/9
Factor -4/5*d**2 + 4/5*d + 0.
-4*d*(d - 1)/5
Let d be 1/3 + 645/9. What is i in -27*i**5 + 39*i + 2*i**3 + 6 - d*i**4 + 0*i**5 + 0