l = f - -22/15. Determine r so that 14/3*r + l*r**2 - 4/3 = 0.
-2, 1/4
Factor -18*n - 23*n + 2*n**2 + 33*n + 6.
2*(n - 3)*(n - 1)
Let g(a) = 3*a**5 - 6*a**3 + 10*a. Let b(s) = -3*s**5 + 6*s**3 - 9*s. Let j(p) = 7*b(p) + 6*g(p). Determine f, given that j(f) = 0.
-1, 0, 1
Let t = -27 - -27. Let i(k) be the first derivative of 0*k**3 + 1/4*k**4 + 2 - 2/5*k**5 + t*k**2 + 1/6*k**6 + 0*k. Find q such that i(q) = 0.
0, 1
Let o(k) be the first derivative of -k**7/630 + k**6/360 + k**5/180 - k**4/72 - 3*k**2/2 + 1. Let r(x) be the second derivative of o(x). Factor r(n).
-n*(n - 1)**2*(n + 1)/3
Let c(p) = -p**2 + 13*p - 71. Let l(r) = -r + 2. Let n(j) = -2*c(j) + 10*l(j). Let n(b) = 0. What is b?
9
Let w be 1/(((-10)/(-8))/5). Factor 0 - w*x - x**2 + 0 + 3*x**2 - 2*x**4 + 4*x**3.
-2*x*(x - 2)*(x - 1)*(x + 1)
Let w(s) = -9*s**3. Let v(t) = 14*t**3. Let y(d) = -5*v(d) - 8*w(d). Factor y(x).
2*x**3
Suppose v - 5*s - 31 = 0, -12 = 2*s + 2*s. Let -2*z - 77*z**3 - z - 49*z**4 - z - v*z**2 - 16*z**2 = 0. Calculate z.
-1, -2/7, 0
Suppose -3*d + 2*d = -7. Determine m, given that 4*m + m**2 - 2*m**5 - 3*m**3 + d*m**2 - 2*m**2 + m**3 - 6*m**4 = 0.
-2, -1, 0, 1
Let d(p) = -12 - p + 12. Let b be d(-4). Factor -r**2 + 74*r + r**b - 74*r.
r**2*(r - 1)*(r + 1)
Let r = 6 + -3. Let p be (6/(-21) - 90/(-21))/10. Determine v, given that -2/5*v**r - p*v + 4/5*v**2 + 0 = 0.
0, 1
Let l be (-8)/(2*2/(-4)). Let -25*x + 15*x + 22*x + x**3 - 6*x**2 - l = 0. Calculate x.
2
Let x(g) be the first derivative of 0*g - 1/12*g**6 - 3/10*g**5 - 2 + 0*g**2 - 1/6*g**3 - 3/8*g**4. Factor x(j).
-j**2*(j + 1)**3/2
Let j = -5 - -7. Suppose -2*s = 2*s + 12, 0 = -5*n - j*s + 54. Determine g, given that -2*g - 6*g + 6 - 8*g**3 + 0*g + 2*g**4 + n*g**2 - 4 = 0.
1
Let k = 2 + 0. Determine m, given that -k*m**3 + 13*m**5 - m**3 - 14*m**5 - 3*m**4 - m**2 = 0.
-1, 0
Let d(y) be the third derivative of 0*y + 0 - y**2 + 31/180*y**5 + 1/6*y**6 - 2/9*y**3 - 1/6*y**4. Determine r so that d(r) = 0.
-2/3, -1/4, 2/5
Factor 3*x + 3/4*x**4 - 3*x**3 + 9/4*x**2 - 3.
3*(x - 2)**2*(x - 1)*(x + 1)/4
Let l(j) be the third derivative of -j**5/12 + 5*j**4/4 - 25*j**3/6 - j**2. Suppose l(y) = 0. Calculate y.
1, 5
Let y = 5 + -5. Find o such that -2/3*o**5 + 0*o**2 + 0*o**4 + 4/3*o**3 + y - 2/3*o = 0.
-1, 0, 1
Let g be 2/(-2) - (7 + -5). Let u(h) = -145*h**2 - 55*h - 6. Let f(z) = 72*z**2 + 27*z + 3. Let b(i) = g*u(i) - 5*f(i). Solve b(l) = 0.
-1/5
Suppose -2*h + 5*s - 20 = 11, 17 = -h + 3*s. Let z be -10*2*2/h. Factor 6*q - q**z + 2*q**4 - 5*q - 3*q**2 + q**2.
-q*(q - 1)**3*(q + 1)
Let w(u) be the first derivative of 0*u + 0*u**5 - 3/2*u**4 + 0*u**2 - 3 + 1/3*u**6 - 4/3*u**3. Determine x so that w(x) = 0.
-1, 0, 2
Let y = -389/3 - -130. Determine w so that -y + 0*w + 1/3*w**2 = 0.
-1, 1
Let t(y) = y + 1. Let c(z) = 2*z**2 + 8*z + 14. Let h = 24 - 20. Let o(a) = h*t(a) + c(a). Find u, given that o(u) = 0.
-3
Let l = 3681/2108 - -2/527. Suppose -1/2*c**4 + 0 + 0*c + 1/2*c**2 + 7/4*c**3 - l*c**5 = 0. What is c?
-1, -2/7, 0, 1
Let o(l) be the second derivative of -l**6/780 + l**5/195 - l**4/156 + l**2 + 2*l. Let t(y) be the first derivative of o(y). Determine i, given that t(i) = 0.
0, 1
Let d(b) be the second derivative of -b**4/78 + 2*b**3/39 - b. Factor d(w).
-2*w*(w - 2)/13
Let n(k) be the third derivative of 2/3*k**3 - k**2 + 1/30*k**5 + 0 + 0*k - 1/4*k**4. Find r such that n(r) = 0.
1, 2
Let z(w) be the third derivative of 0*w**3 + 0*w**4 + 1/120*w**6 + 0*w - 1/60*w**5 + 0 + w**2. Find n, given that z(n) = 0.
0, 1
Let q = -851 - -1703/2. Suppose -2 + 2*y - q*y**2 = 0. What is y?
2
Let h be (-1 + 31)*2/2. Factor -h*v + 4*v**2 - 10 - 9 - 18*v**2 + 1 - 2*v**3.
-2*(v + 1)*(v + 3)**2
Let z(o) be the first derivative of -o**5/130 + o**4/26 - o**3/13 + o**2/13 - o - 6. Let s(k) be the first derivative of z(k). Suppose s(v) = 0. What is v?
1
Let a(w) = w**3 - 2*w**2 + w. Let b(j) = -3*j**2 - 4*j + 2*j**3 + 5*j - 2 + 2. Let t(n) = -5*a(n) + 3*b(n). Factor t(c).
c*(c - 1)*(c + 2)
Factor -3/7*k**3 + 6/7 + 3/7*k - 6/7*k**2.
-3*(k - 1)*(k + 1)*(k + 2)/7
Let k = 116 + -113. Let y(x) be the third derivative of 1/540*x**6 + 0*x**4 + 0*x**5 + 0*x**3 + 0*x + 4/945*x**7 + 0 - k*x**2. Solve y(w) = 0 for w.
-1/4, 0
Let g(v) be the third derivative of v**7/420 - v**6/120 - v**5/120 + v**4/24 - 9*v**2. Factor g(n).
n*(n - 2)*(n - 1)*(n + 1)/2
Let y(q) = q**2 + 1. Let v(p) = 6*p**2 + 4*p. Let f(b) = -5*v(b) + 5*y(b). Determine d so that f(d) = 0.
-1, 1/5
Let l = 248/3 - 82. Let u(m) be the first derivative of -l*m**3 - 2/5*m**5 + m**4 + 1 + 0*m**2 + 0*m. Let u(w) = 0. Calculate w.
0, 1
Let t = 9 - 9. Let w(l) be the third derivative of t*l + 1/600*l**6 + 1/120*l**4 - 1/150*l**5 + 0 + l**2 + 0*l**3. Determine d, given that w(d) = 0.
0, 1
Let s(x) = 2*x**2 + x + 2. Let d(u) = -2*u**2 - 2*u - 2. Let f = -9 + 15. Let i(h) = f*s(h) + 5*d(h). Find r, given that i(r) = 0.
1
Let r(w) be the second derivative of -25*w**7/126 - 2*w**6/9 + 7*w**5/20 + 5*w**4/9 + 2*w**3/9 - 6*w. Solve r(b) = 0.
-1, -2/5, 0, 1
Let n(d) be the second derivative of -d**7/168 - d**6/120 + d**5/80 + d**4/48 - 22*d. Factor n(i).
-i**2*(i - 1)*(i + 1)**2/4
Factor -2/7*r**3 + 0 + 4/7*r**2 - 2/7*r.
-2*r*(r - 1)**2/7
Factor 4*x - 14/5*x**2 - 6/5.
-2*(x - 1)*(7*x - 3)/5
Let c(r) = 3*r**2 - 7*r - 7. Let a be c(-1). Let 4/9*y**2 - 2/3*y**a + 0 + 2/9*y**4 + 0*y = 0. Calculate y.
0, 1, 2
Let p(a) be the first derivative of -4/9*a + 2/45*a**5 + 2/27*a**3 + 1/3*a**2 - 1/6*a**4 - 4. Factor p(o).
2*(o - 2)*(o - 1)**2*(o + 1)/9
Factor -6/7 - 2/7*r**3 - 2*r - 10/7*r**2.
-2*(r + 1)**2*(r + 3)/7
Let r = 13 - -4. Factor 14*j**2 + 4 + 7*j + r*j - 6*j.
2*(j + 1)*(7*j + 2)
Let s be (-2 + 28/21)*(-3)/4. Let m = 0 + 0. Find j, given that -1/2*j**4 + 1/2*j**5 + m*j - s*j**3 + 0 + 1/2*j**2 = 0.
-1, 0, 1
Let z(x) = 2*x**2 - 2*x. Let k be z(8). Let s be 7/(-28)*k/(-3). Factor 2/3*t + s*t**3 - 5*t**2 + 0.
t*(4*t - 1)*(7*t - 2)/3
Let b(w) = w**3 + 3*w**2 - 4*w - 1. Let l be b(-4). Let s = l + 3. Find r, given that 3*r + 0 + 1 + r**3 + 0 + 3*r**s = 0.
-1
Suppose -97*n + 21 - n**2 + 51 + 3*n**2 + 73*n = 0. Calculate n.
6
Suppose 5*h = 3*p - 0*p - 18, -4*p - 2 = 2*h. Let z = 1 - h. Factor 2/5*g**z + 0*g**2 + 0 - 2/5*g**3 + 0*g.
2*g**3*(g - 1)/5
Let a be (-3)/(-1) - 1/(7/21). Find f such that 0*f - 2*f**5 - 32/9*f**3 + 14/3*f**4 + a + 8/9*f**2 = 0.
0, 2/3, 1
Suppose 0 + 3/2*k + 3/2*k**2 = 0. Calculate k.
-1, 0
Let y be 0/(-3) + 0 - 10. Let t(o) = -o**3 - 9*o**2 + 12*o + 22. Let h be t(y). Factor 0 + 2/9*n**3 - 4/9*n**h + 2/9*n.
2*n*(n - 1)**2/9
Suppose 2*g + h + 8 = 0, g - 20 = 6*g + 5*h. Let a be -1 + g*(-1)/3. Factor -a*q**2 + 0*q - 7/3*q**4 + 0 + 5/3*q**3 + q**5.
q**2*(q - 1)**2*(3*q - 1)/3
Let z(r) be the first derivative of r**4/20 - 2*r**3/5 + 6*r**2/5 + r - 4. Let d(j) be the first derivative of z(j). Factor d(f).
3*(f - 2)**2/5
Let j = -277/2 - -139. Let w(n) be the first derivative of j*n**4 + 2 + 5*n**3 - n**5 + 4*n - 8*n**2. Determine h so that w(h) = 0.
-2, 2/5, 1
Find l, given that 11 + 18*l**2 + 0 + 5 + 3*l**3 + 36*l + 8 = 0.
-2
Determine v, given that -1/4*v**3 + 0*v - 1/2*v**2 + 0 = 0.
-2, 0
Let h(s) be the second derivative of s**6/50 - 9*s**5/50 + 13*s**4/20 - 6*s**3/5 + 6*s**2/5 - 12*s. Find x, given that h(x) = 0.
1, 2
Let r(q) = q + 6. Let l be r(0). Let s be (26/4)/(3/l). Factor -2*m - s*m**3 - 17*m**3 + 26*m - 8 + 2*m**2.
-2*(m + 1)*(3*m - 2)*(5*m - 2)
Let k be ((-60)/14 - -4) + (-26)/(-42). Suppose 2/3*u + k*u**2 + 0 = 0. What is u?
-2, 0
Factor -1/2*v**2 + 0*v + 1/2.
-(v - 1)*(v + 1)/2
Suppose -t - 2 = -3*c + 8, 2*c - 16 = -4*t. Factor -j**2 - 1 - t*j**2 + 0 + 4 + 3*j - 3*j**3.
-3*(j - 1)*(j + 1)**2
Let j(w) = -w**2 + 6*w + 3. Let z be j(7). Let m = z + 7. Solve 2*q**2 - m*q**2 - q**3 + 0*q**2 = 0 for q.
-1, 0
Suppose -3*w + 4 = -2*w + y, w - y = 2. Let c(l) = l**2 + 5*l - 12. Let b be c(-7). Factor 0 + 6/5*u**w + 2/5*u**b + 2/5*u**5 + 6/5*u**4 + 0*u.
2*u**2*(u + 1)**3/5
Let v(o) = -o. Let b be v(0). Let r(f) be the first derivative of b*f - 1/2*f**4 - 2 - f**2 + 4/3*f**3. Suppose r(h) = 0. What is h?
0, 1
Let c(r) = -r**2 + 6*r + 6. Let q(t) = -7*t - 6. Let s(d) = -3*c(d) - 2*q(d). Let p(n) = 3*n**2 - 3*n - 6. Let y(v) = 7*p(v) - 6*s(v). Factor y(z).
3*(z - 1)*(z + 2)
Find r suc