1/1155*v**7 + 0*v**5. Find i, given that l(i) = 0.
-1, 1
Factor 0*x + 0 + 1/7*x**2 - 1/7*x**3.
-x**2*(x - 1)/7
Let n(i) = -i**2 + 6*i - 9. Let m(f) = 2*f**2 - 12*f + 18. Let g = 10 + -13. Let c(y) = g*m(y) - 5*n(y). Factor c(v).
-(v - 3)**2
Let u(o) be the first derivative of -3*o**4/16 - 11*o**3/4 - 105*o**2/8 - 75*o/4 + 12. Find w such that u(w) = 0.
-5, -1
Factor 5*o**4 - 4*o**3 + 7*o**3 + 3*o**5 + o**4.
3*o**3*(o + 1)**2
Let z(l) be the first derivative of -3/2*l + 3/8*l**2 + 4 + 1/4*l**3. Factor z(i).
3*(i - 1)*(i + 2)/4
Let r = -85/4 - -773/36. Factor -4/9*j**3 + r*j**4 + 4/9*j - 2/9*j**2 + 0.
2*j*(j - 2)*(j - 1)*(j + 1)/9
Let i = 5 - 3. Factor -8*r**i - 2 + 5*r**2 + 5*r**2.
2*(r - 1)*(r + 1)
Let s be 27 + -14 + 3*1. Let n = s + -14. Solve -1/3*y**n + 64/3*y**5 + 0*y - 16*y**4 + 0 + 4*y**3 = 0 for y.
0, 1/4
Let a(q) be the second derivative of 2*q**7/189 - q**5/45 - 15*q. Suppose a(y) = 0. Calculate y.
-1, 0, 1
Let d be (2 + 1)/(-3 + 2). Let k = d + 6. Factor -1/6*l**k + 1/6*l**2 + 0*l + 0.
-l**2*(l - 1)/6
Suppose -5*x + 5 = 60. Let a(z) = -6 + 2*z**2 - 3*z**2 + 4 - z. Let p(d) = 6*d**2 + 6*d + 11. Let h(k) = x*a(k) - 2*p(k). Factor h(o).
-o*(o + 1)
Let v = -10 + 4. Let a(l) = 3*l**3 + 12*l**2 - 15*l. Let d(z) = 3*z**3 + 11*z**2 - 14*z. Let j(t) = v*d(t) + 5*a(t). Factor j(r).
-3*r*(r - 1)*(r + 3)
Let g(t) be the second derivative of -t**7/147 - 4*t**6/105 + 8*t**4/21 + 16*t**3/21 - 31*t. Factor g(d).
-2*d*(d - 2)*(d + 2)**3/7
Suppose 0*q = -4*q. Suppose 4*f - 20 = -q*f. Factor f*t - 5*t + 2*t**3 - 2*t**2.
2*t**2*(t - 1)
Let v(f) be the first derivative of -f**6/2 + 3*f**4/2 - 3*f**2/2 - 9. Factor v(s).
-3*s*(s - 1)**2*(s + 1)**2
Let p = 2/195 + 76/195. Let w be (-20)/6*24/(-100). Solve p*i**4 + w*i**3 + 0*i + 0*i**2 + 0 = 0 for i.
-2, 0
Suppose -1 = z + 1. Let w be (-22)/22*4/z. Factor -10/9*i - 2/9*i**3 - 4/9 - 8/9*i**w.
-2*(i + 1)**2*(i + 2)/9
Let s = 10/163 - -4361/652. Let -3/2 - 3/4*w**4 - s*w**2 + 21/4*w + 15/4*w**3 = 0. Calculate w.
1, 2
Let q(t) = -t**2 + 4*t - 2. Let u(x) = -7*x**2 + 25*x - 13. Let w(l) = 39*q(l) - 6*u(l). Factor w(p).
3*p*(p + 2)
Let x(p) be the second derivative of p**7/189 - p**6/135 - p**5/90 + p**4/54 - 6*p. Factor x(v).
2*v**2*(v - 1)**2*(v + 1)/9
Let n = -4 - -9. Suppose -6*t**2 - t**4 + 4 - t - 4*t**3 - 3*t - n = 0. What is t?
-1
Let d be (-72)/(-21) - 84/(-147). Determine c so that 0 - 4/7*c**d - 12/7*c**2 + 12/7*c**3 + 4/7*c = 0.
0, 1
What is v in 1 - 3*v**2 + v**2 + 3*v**2 - 2 = 0?
-1, 1
Let i(s) = -32*s**2 - 2*s - 2. Let f(g) = -g**2 - g. Let j(q) = -36*f(q) - 2*i(q). Determine w, given that j(w) = 0.
-1/5
Solve -8/5*o + 1/5*o**2 - 9/5 = 0.
-1, 9
Let p(a) = -a**3 + a**2 - a + 1. Let h(t) = -4*t**3 - 3*t**2 - 14*t + 3. Let n(u) = -h(u) + 5*p(u). Let b be n(9). Find r such that -1/2*r**b - 2*r - 2 = 0.
-2
Let w(v) be the second derivative of v**4/3 - 2*v**3/3 - 4*v**2 - 8*v. What is k in w(k) = 0?
-1, 2
Let i(n) be the second derivative of 16*n**7/21 - 8*n**6/15 - 39*n**5/10 - 17*n**4/6 - 2*n**3/3 + n. Let i(p) = 0. Calculate p.
-1, -1/4, 0, 2
Let h be 8/(-12) - 2/(-3). Let i(w) be the second derivative of 0 + h*w**2 - 1/12*w**3 - 1/12*w**4 + 2*w - 1/40*w**5. Suppose i(a) = 0. What is a?
-1, 0
Let r = 2 - 2. Factor 0*c**2 + 0 + r + 2*c**2 - 2*c.
2*c*(c - 1)
Let l(y) be the third derivative of 0*y**4 - 3/350*y**7 - 1/150*y**5 + 0 + 0*y**3 + 0*y - 2*y**2 + 11/600*y**6. Find c, given that l(c) = 0.
0, 2/9, 1
Let w(q) be the first derivative of 4*q**3/3 - 8*q**2 + 12*q + 8. Let w(s) = 0. What is s?
1, 3
Let r(b) be the third derivative of -b**6/480 + b**4/32 + b**3/12 - 9*b**2. Factor r(q).
-(q - 2)*(q + 1)**2/4
Let n(f) be the third derivative of -f**9/211680 + f**8/70560 + f**5/30 - 2*f**2. Let g(k) be the third derivative of n(k). Solve g(a) = 0.
0, 1
Let g(y) = 4*y**4 - 25*y**3 - 7*y**2 + 12*y + 29. Let t(p) = -2*p**4 + 12*p**3 + 4*p**2 - 6*p - 14. Let k(f) = -6*g(f) - 13*t(f). Factor k(i).
2*(i - 4)*(i - 1)*(i + 1)**2
Let a(o) be the second derivative of -6/5*o**3 - 6/5*o**2 - 1/4*o**4 - 8*o + 0. Determine g so that a(g) = 0.
-2, -2/5
Suppose -5*k = 3*k - 0*k. Let o(g) be the second derivative of 0*g**2 + 1/30*g**6 + 0 - 1/12*g**4 + k*g**5 + 0*g**3 - 3*g. Factor o(a).
a**2*(a - 1)*(a + 1)
Suppose -w + 5*j + 41 = 0, 3*w + 0*w = -j + 107. Let 11*b**2 + w*b**4 - 3 + 10*b**2 - 4*b + 2*b - 4*b + 60*b**3 = 0. What is b?
-1, -1/2, 1/3
Let q(h) be the second derivative of h**4/12 - h**3/2 - 11*h. Factor q(u).
u*(u - 3)
Suppose 10*u = 5*u + 10. Let c be (u/6)/((-6)/(-4)). Factor -4/9 + 2/9*x + c*x**2.
2*(x - 1)*(x + 2)/9
Let j(y) be the second derivative of -2*y**6/35 + 3*y**5/35 + 3*y**4/28 - y**3/7 - 3*y**2/14 - 10*y. Factor j(s).
-3*(s - 1)**2*(2*s + 1)**2/7
Suppose 4 = -6*h + 16. Let p(v) be the second derivative of 0*v**2 + 1/36*v**4 + 0 + h*v + 0*v**3 + 1/30*v**5 + 1/90*v**6. Determine x, given that p(x) = 0.
-1, 0
Factor -h**2 + 9*h - 5 + 5 - 1 - 7*h.
-(h - 1)**2
Let n(l) be the second derivative of 2*l + 1/6*l**4 + 1/18*l**3 - 1/3*l**2 + 0. Factor n(z).
(2*z - 1)*(3*z + 2)/3
Let o = 2 + 2. Suppose o*z = -2*d + 38, -3*z = -5*d + 2 + 93. Find r such that -5*r**2 - 4*r**2 - 24*r**3 + 9*r**4 + r + 7*r**5 - 3*r + d*r**3 = 0.
-1, -2/7, 0, 1
Let z(g) be the third derivative of g**7/1050 + g**6/300 - g**5/300 - g**4/60 + 14*g**2. Factor z(d).
d*(d - 1)*(d + 1)*(d + 2)/5
Find v such that -4*v + 8*v**5 + 8*v**2 - 8*v**4 - 4*v**5 - 13*v**3 + 13*v**3 = 0.
-1, 0, 1
Let o(u) be the third derivative of -8*u**7/735 - u**6/15 - 3*u**5/35 + 9*u**4/28 + 9*u**3/7 + 6*u**2. Determine k, given that o(k) = 0.
-3/2, 1
Let h be (-3)/(-3)*1*(-3 - -3). Let l(k) = -5*k**3 - k**2 + k + 1. Let b be l(-1). Let -m + 2*m**2 - b*m + m + h*m = 0. What is m?
0, 2
Let -12*s - 216/7*s**3 - 243/7*s**2 - 48/7*s**4 - 9/7 = 0. What is s?
-3, -1, -1/4
Suppose 0 = -2*j + 3*h + 13, 0*j + 6 = -3*j - 4*h. Suppose 3*l**2 + 0*l**j + l**4 + 2*l**4 + 6*l**3 = 0. What is l?
-1, 0
Let h(x) be the second derivative of 0 - 2*x + 2/33*x**4 - 1/110*x**5 - 5/33*x**3 + 2/11*x**2. Factor h(m).
-2*(m - 2)*(m - 1)**2/11
Let o be 2/4 - 63/(-18). Let s(g) be the first derivative of -3*g**3 - o + g**3 - 4*g + 2*g + 4*g + 2*g**2. Determine m so that s(m) = 0.
-1/3, 1
Let k(p) be the second derivative of 0 + 1/2*p**2 + 1/180*p**5 + 1/360*p**6 + p + 0*p**3 + 0*p**4. Let v(u) be the first derivative of k(u). Factor v(l).
l**2*(l + 1)/3
Let r = 2 - 0. Suppose 6 = 5*l + 4*y, -3*l - 2*y = -r*l. Solve 4*g**2 - 4*g**2 + g**l = 0.
0
Factor 0 - 3/2*c**3 + 0*c**2 + 3/2*c.
-3*c*(c - 1)*(c + 1)/2
Let n be 0 + 1/((-5)/(-10)). Let q(x) be the third derivative of 0 + 0*x**3 - 1/96*x**4 - 1/480*x**6 - n*x**2 - 1/120*x**5 + 0*x. Factor q(b).
-b*(b + 1)**2/4
Suppose 0 = 3*h, 5*z + 4 - 14 = -4*h. Determine s, given that -3*s**5 - z + 2 + 3*s**4 = 0.
0, 1
Suppose 7 = 3*q - 5. Suppose 3*y = q*y + 3*t - 11, -4*y - 4 = -4*t. Determine g so that 2*g**2 - 4*g**y + g - 3*g = 0.
-1, 0
Let s be (-3 + 2)/(3 - 4). Let v(x) = -x**2 - x - 3. Let q(u) = -u - 1. Let p(h) = s*v(h) - 3*q(h). Factor p(n).
-n*(n - 2)
Let j(n) be the third derivative of 0*n - 1/390*n**5 + 6*n**2 - 1/156*n**4 + 0 + 2/39*n**3. Factor j(h).
-2*(h - 1)*(h + 2)/13
Let d = -1042/5 - -209. Factor -d*g + 2/5 - g**2.
-(g + 1)*(5*g - 2)/5
Suppose 0 = -2*c + 8 - 0. Find f such that -4*f**c + 5*f**4 - 4*f + f**3 + 4*f = 0.
-1, 0
Let k(j) be the third derivative of 0*j**4 + 0*j + 3*j**2 + 0 - 1/540*j**6 - 4/27*j**3 + 1/90*j**5. Suppose k(z) = 0. Calculate z.
-1, 2
Suppose 2*b + 4*j = 3*b - 24, 5*b = -4*j. Suppose -t = 2*l + b*t + 8, 3*t = -l - 6. Solve -7*c**2 - 12*c - l*c**2 - 2 - 4*c**3 + c = 0.
-2, -1, -1/4
Let t be -4*(-1)/12*1. Solve 0 + t*y + 1/3*y**2 = 0.
-1, 0
Let s be (16*(-9)/(-324))/((-2)/(-3)). Factor s - 2/3*a - 2/3*a**2 + 2/3*a**3.
2*(a - 1)**2*(a + 1)/3
Let s = 18 - 13. Suppose y = s*j - 23, -3*j + 13 = 3*y - 8. Determine x, given that -x + 1/2*x**y + 0 = 0.
0, 2
Let y(d) = -54*d**3 - 340*d**2 + 2*d + 2. Let t(o) = -o**4 + 217*o**3 + 1361*o**2 - 9*o - 9. Let f(u) = 4*t(u) + 18*y(u). Factor f(b).
-4*b**2*(b + 13)**2
Let a(v) be the first derivative of v**5/10 + 3*v**4/8 + v**3/6 - 3*v**2/4 - v + 7. Find u, given that a(u) = 0.
-2, -1, 1
Let n(p) be the third derivative of p**5/80 + p**4/8 + 3*p**3/8 + 10*p**2. Deter