2 + 4*r + 8 - 7*r**v = 0.
-1, 2
Let b(x) = -x**3 + 9*x**2 - 8. Let t be b(9). Let m be t/(-4) + 0 + 0. Factor -d**m + 6*d**3 - 3*d**2 + 4*d**3 - 6*d**4.
-2*d**2*(d - 1)*(3*d - 2)
What is v in -7*v + 13*v - v**2 - 25 + 4*v = 0?
5
Let b(t) be the third derivative of t**8/1344 + t**7/280 + t**6/240 - 30*t**2. Find o such that b(o) = 0.
-2, -1, 0
Let q(g) = g**2 + 8*g. Let l be q(-6). Let u be (-2)/4 - 14/l. Suppose -2/3*o**3 + 2/3 - u*o**2 + 2/3*o = 0. Calculate o.
-1, 1
Suppose -3*k = z + 2, -22 + 0 = 5*z + 3*k. Let n be (8/(-100))/(1/z). Factor -2/5*s**4 - n*s**5 - 2/5 - 2/5*s + 4/5*s**2 + 4/5*s**3.
-2*(s - 1)**2*(s + 1)**3/5
Determine d so that -3/5*d + 3/5*d**3 - 3/5 + 3/5*d**2 = 0.
-1, 1
Let m(t) be the second derivative of 160*t**7/21 - 8*t**6/3 - 9*t**5 - 55*t**4/12 - 5*t**3/6 + 19*t. Factor m(s).
5*s*(s - 1)*(4*s + 1)**3
Let u(q) be the third derivative of -q**6/540 + q**5/135 - q**4/108 - 5*q**2. Factor u(b).
-2*b*(b - 1)**2/9
Suppose 5*f - 2*f + 3*i - 12 = 0, i = 2. Suppose 0 + 2/7*r**f - 2/7*r = 0. Calculate r.
0, 1
Factor -m - 4*m**2 + 2*m**2 + 0*m**2 + 2 + m**2.
-(m - 1)*(m + 2)
Let i = -395 - -395. Factor 2/3*s**3 + i*s**2 + 4/3 - 2*s.
2*(s - 1)**2*(s + 2)/3
Suppose 1 = -2*q + 5. Determine j, given that 9*j**4 + 2*j - 2*j**4 + 4*j**3 - 2*j**4 + 5*j**q - 4*j**4 = 0.
-2, -1, 0
Let z(y) be the third derivative of -y**8/336 - 2*y**7/105 - y**6/24 - y**5/30 - 18*y**2. Factor z(w).
-w**2*(w + 1)**2*(w + 2)
Let c(t) be the first derivative of 1/3*t**3 + 1 + 1/4*t**4 - 1/5*t**5 + 0*t - 1/2*t**2. Suppose c(f) = 0. Calculate f.
-1, 0, 1
Solve 0 - 6/23*k**2 + 2/23*k + 4/23*k**3 = 0.
0, 1/2, 1
Let u(r) be the third derivative of -2*r**2 + 0 - 1/240*r**5 - 1/24*r**3 + 0*r - 1/48*r**4. Suppose u(p) = 0. Calculate p.
-1
Let w(g) be the second derivative of -g**7/14 + g**6/2 - 3*g**5/2 + 5*g**4/2 - 5*g**3/2 + 3*g**2/2 + 18*g. Factor w(x).
-3*(x - 1)**5
Suppose -16/11 - 2/11*q**2 - 18/11*q = 0. What is q?
-8, -1
Factor -27/2*j**2 + 0 + 3/2*j.
-3*j*(9*j - 1)/2
Let d be 6/(-4)*(-8)/3. Let s be ((-1)/(-10))/((-21)/(-84)). Solve 2/5*m**2 + 0*m + 0*m**3 - s*m**d + 0 = 0 for m.
-1, 0, 1
Let y(s) be the third derivative of s**5/180 + s**4/24 + 11*s**2. Let y(k) = 0. What is k?
-3, 0
Suppose -9 = -3*w + 3. Suppose 4*s + g = -w*g, 0 = 5*s - 2*g. Factor -4/7*t + s - 2/7*t**2.
-2*t*(t + 2)/7
Let x = 1 - 6. Let m be x/2*(-8)/10. Determine l, given that -2*l**5 - 4*l**4 - 4*l + 6*l + 0*l + 4*l**m = 0.
-1, 0, 1
Let n be 7/60 + (110/(-75))/(-11). Suppose n + 1/4*m**4 + 3/4*m - 1/2*m**2 + 3/4*m**5 - 3/2*m**3 = 0. Calculate m.
-1, -1/3, 1
Let u(t) be the third derivative of -t**6/240 + 9*t**2. Factor u(k).
-k**3/2
Let f(l) = l**3 + 6*l**2 - 7*l - 5. Let c(m) = -2*m**3 - 8*m + 3*m**3 - 11*m**2 + 6*m**2 - 6 + 12*m**2. Let i(p) = -5*c(p) + 6*f(p). Factor i(j).
j*(j - 1)*(j + 2)
Let o(v) be the second derivative of v**6/15 - v**5/5 + 2*v**3/3 - v**2 + v. Factor o(u).
2*(u - 1)**3*(u + 1)
Factor -2*i**2 + 0*i**2 + i**3 + 0*i**3 - 3*i**5 + 4*i**4.
-i**2*(i - 1)**2*(3*i + 2)
Let s(z) be the second derivative of z**4/6 - 4*z**3/3 + 9*z. What is v in s(v) = 0?
0, 4
Let v be 14/(-5) + (-5)/(-20)*12. Let b(r) be the first derivative of 1/4*r**4 + v*r**5 + 0*r**3 + 0*r - 1 + 0*r**2. Solve b(k) = 0.
-1, 0
Suppose -26 = -4*b - 18. Find f, given that 1/2*f**b + f + 1/2 = 0.
-1
Let w(s) = -6*s**2 + 12*s + 5*s**2 - 4 - 5*s**2. Let t(l) = -7*l**2 + 13*l - 3. Let u(y) = 4*t(y) - 5*w(y). Factor u(o).
2*(o - 2)**2
Suppose 14 - 20 = -3*q. Let t(l) be the second derivative of -1/45*l**6 + 0*l**3 + 0*l**q + 0 + 1/30*l**5 - 2*l + 0*l**4. Solve t(z) = 0.
0, 1
Let q(x) be the first derivative of -4*x + x**2 - 1/2*x**4 - 3 + 4/3*x**3. Solve q(k) = 0.
-1, 1, 2
Let f(s) be the third derivative of s**7/735 - s**6/105 + s**5/42 - s**4/42 + 30*s**2. Solve f(r) = 0.
0, 1, 2
Let i(p) be the third derivative of -2/15*p**3 - 7/300*p**5 + 0 + 0*p - 2/15*p**4 - 4*p**2. Solve i(d) = 0 for d.
-2, -2/7
Let y(o) be the first derivative of 0*o - 1/6*o**3 + 0*o**2 - 1/8*o**4 + 3. Solve y(s) = 0.
-1, 0
Let k(w) be the third derivative of 0 + 1/504*w**8 - 3*w**2 + 0*w + 0*w**6 + 0*w**4 - 2/315*w**7 + 0*w**5 + 0*w**3. Suppose k(z) = 0. Calculate z.
0, 2
Factor -c**5 + 6*c**3 - 5*c + 2 - 2*c**3 + 9*c - 7*c - 2*c**2.
-(c - 1)**3*(c + 1)*(c + 2)
Let x be (-8)/(-30)*(36/8 - 3). Solve -4/5*q**2 + 2/5*q + 0*q**3 + 0 - x*q**5 + 4/5*q**4 = 0 for q.
-1, 0, 1
Factor 295*o - 152*o + 4*o**5 - 143*o - 4*o**4 + 4*o**2 - 4*o**3.
4*o**2*(o - 1)**2*(o + 1)
Let o(n) be the second derivative of -n**5/20 - n**4/4 + n**3/2 - n**2 + 2*n. Let a be o(-4). Determine m, given that -2*m**a + 0*m + 0*m = 0.
0
Let z be (-14)/12*(-12)/168. Let w(c) be the second derivative of -z*c**3 + 1/12*c**4 + c + 0*c**2 + 0 + 1/84*c**7 + 0*c**5 - 1/30*c**6. Factor w(i).
i*(i - 1)**3*(i + 1)/2
Determine w, given that 0*w - 2/5*w**4 - 6/5*w**3 + 0*w**2 + 0 = 0.
-3, 0
Let h(g) be the second derivative of -g**4/66 + 4*g**3/33 - 3*g**2/11 - 46*g. Factor h(y).
-2*(y - 3)*(y - 1)/11
Let l(s) be the first derivative of -27*s**5/25 - 3*s**4/10 + 27*s**3/5 + 36*s**2/5 + 12*s/5 - 11. Find o, given that l(o) = 0.
-1, -2/9, 2
Let o(t) be the third derivative of 0*t + 0*t**3 - 1/30*t**6 + 2*t**2 + 0*t**5 - 1/105*t**7 + 0 + 0*t**4. Solve o(q) = 0.
-2, 0
Let n be 15/18 + (-35)/(-30). Factor -n*m**2 - 1/2*m**3 - 5/2*m - 1.
-(m + 1)**2*(m + 2)/2
Factor 4/3*s**3 + 26/9*s**2 + 2/9*s**4 + 8/9 + 8/3*s.
2*(s + 1)**2*(s + 2)**2/9
Let o be ((-24)/18)/(4/(-6)). Find c, given that -7*c + 4 + 0 - 2 + 7*c**3 - o*c**2 = 0.
-1, 2/7, 1
Let b(o) be the third derivative of 0*o + o**2 + 0*o**3 - 1/84*o**4 + 0 - 1/420*o**5. Determine l, given that b(l) = 0.
-2, 0
Suppose 5*x + 4*a = 18, -a = 2*x - 3*x. Find g, given that 0 + 0*g - 9/2*g**5 - 3/2*g**4 + 3/2*g**x + 9/2*g**3 = 0.
-1, -1/3, 0, 1
Let k(i) = 5*i + 1. Let g be k(-1). Let r = -2 - g. Factor 5*a**r + 13*a**3 - 16*a**3 + a**2.
-3*a**2*(a - 2)
Let z(m) be the first derivative of 4*m + 2 + 2/3*m**3 - 3*m**2. Find x such that z(x) = 0.
1, 2
Let f = -43 + 47. Let i(z) be the third derivative of 0*z**f + 1/224*z**8 + 0*z**6 + 0*z + 1/420*z**7 + 0*z**3 + 0 + z**2 + 0*z**5. What is a in i(a) = 0?
-1/3, 0
Let x(n) be the third derivative of -1/8*n**4 + 0*n + 1/3*n**3 - 1/30*n**5 + 1/30*n**6 + 0*n**7 + 4*n**2 - 1/336*n**8 + 0. Factor x(v).
-(v - 1)**3*(v + 1)*(v + 2)
Let a be (-21)/(-6) - 1/2. Suppose -2*o - a*v + 3 = o, 5*v = 5*o - 45. Factor -2*l + 7*l**4 + 8*l**3 + 2 - 3 - 3*l**5 + 5*l**o + 2*l**2.
(l + 1)**4*(2*l - 1)
Let t(g) be the second derivative of 5*g**4/12 + 5*g**3/3 - 15*g**2/2 - 16*g. Solve t(w) = 0 for w.
-3, 1
Let r = 0 - -3. Let q(b) be the second derivative of 0*b**r + 0 - 3*b + 0*b**2 + 1/36*b**4 - 1/60*b**5. Factor q(n).
-n**2*(n - 1)/3
Factor 0*t**4 + 0 + 0*t**2 + 2/5*t**3 - 1/5*t - 1/5*t**5.
-t*(t - 1)**2*(t + 1)**2/5
Let w(g) be the second derivative of 0 + 0*g**2 - 1/15*g**3 - 1/60*g**4 + g. Factor w(s).
-s*(s + 2)/5
Let t(u) = -1 + 4*u - 1 + 5*u**2 - u**2 + 0*u. Let v(y) = -9*y**2 - 8*y + 5. Let k(n) = 5*t(n) + 2*v(n). Factor k(b).
2*b*(b + 2)
Let o(f) = f + 13. Let m be o(-9). Determine l so that l**5 + 3*l**3 + l + 3 - m - 5*l**3 + 2*l**2 - l**4 = 0.
-1, 1
Let a(v) be the third derivative of -v**6/40 - v**5/20 - 5*v**2. Factor a(q).
-3*q**2*(q + 1)
Let o(t) be the third derivative of t**9/100800 - t**7/8400 + t**5/60 + 4*t**2. Let a(x) be the third derivative of o(x). Factor a(z).
3*z*(z - 1)*(z + 1)/5
Let j(h) = h**3 + h**2. Let w(k) be the first derivative of -7*k**4/4 - 3*k**3 - 3*k**2/2 - k - 2. Let x(f) = -6*j(f) - w(f). Factor x(z).
(z + 1)**3
Let x be (-5)/4 - (-21)/14. Let h(a) be the second derivative of 2*a + 0*a**3 + x*a**4 - 3/2*a**2 + 0. Factor h(z).
3*(z - 1)*(z + 1)
Let p(o) be the third derivative of o**8/126 - 5*o**7/63 + 3*o**6/10 - 22*o**5/45 + 2*o**4/9 - 8*o**2. Factor p(z).
2*z*(z - 2)**3*(4*z - 1)/3
Let b(w) be the first derivative of -2 - 2/27*w**3 + 1/18*w**4 + 0*w + 0*w**2. Find h, given that b(h) = 0.
0, 1
Let q(l) be the second derivative of -l**6/180 - 5*l**3/6 - 6*l. Let p(h) be the second derivative of q(h). What is b in p(b) = 0?
0
Factor 0 + 2/11*m**2 + 0*m - 2/11*m**3.
-2*m**2*(m - 1)/11
Let p be 0 - (-5)/(-2)*-2. Let l(k) be the third derivative of 1/180*k**p + k**2 + 0*k**4 +