 f*r**2 = 0. What is r?
1
Let v = 1/6 - -1/12. Factor v*l**2 - 3/4*l + 1/2.
(l - 2)*(l - 1)/4
Let l be (-2)/(-4) + (-2)/(-28). Let c = -348/7 + 50. Find n, given that -6/7*n**4 + 10/7*n**2 - 2/7*n**3 + c*n - l = 0.
-1, 2/3, 1
Factor 2*f**4 - 27*f**3 - 8*f**4 + 3*f**5 + 30*f**3.
3*f**3*(f - 1)**2
Suppose 0 = -2*m - 101 + 105. Find n, given that 0*n - n**3 + 2/3*n**4 + 1/3*n**m + 0 = 0.
0, 1/2, 1
Let l(f) = 4*f**2 - 12*f. Let d(u) = 4*u**2 - 11*u + 1. Let m(b) = 4*d(b) - 3*l(b). Factor m(x).
4*(x - 1)**2
Let i(c) = c**2 - 5*c + 4. Let w be i(4). Factor w - 3*o**3 - 3/2*o + 27/4*o**2.
-3*o*(o - 2)*(4*o - 1)/4
Factor 2/11*r**2 - 2/11*r**3 + 2/11*r + 0 - 2/11*r**4.
-2*r*(r - 1)*(r + 1)**2/11
Let v(y) = -7*y**2 - 11*y - 9. Let c(a) = 3*a**2 + 5*a + 4. Suppose -2*d = 2*d + 3*j + 12, -3*j + 12 = 0. Let w(u) = d*v(u) - 15*c(u). Solve w(t) = 0.
-2, -1
Let x(s) be the first derivative of 1/4*s**3 + 0*s + 0*s**2 + 3/16*s**4 - 1. Find t, given that x(t) = 0.
-1, 0
Let 0*c**3 + 2*c**2 - 2*c**3 + 2*c**4 + 0*c**2 - 2*c**3 = 0. Calculate c.
0, 1
Suppose -p - 48 = 2*y, -3*p - 3*y - 135 = -0*p. Let z = p - -211/5. Find l such that z*l**5 + 2*l**2 + 1/5 + l + l**4 + 2*l**3 = 0.
-1
Let z = 100 + -98. Let 27/2 + 9/2*v**z - 1/2*v**3 - 27/2*v = 0. Calculate v.
3
Let p(s) be the third derivative of 3*s**5/20 + s**4/4 + 2*s**2. Find n, given that p(n) = 0.
-2/3, 0
Let c = 54 - 83. Let j = c + 59/2. Factor -j - o + 3/2*o**2.
(o - 1)*(3*o + 1)/2
Let j(d) = 5*d**4 + 3*d**3 + d**2 - 3*d. Let o(x) = -x**4 - x**3 - x**2 + x. Let m(i) = j(i) + 3*o(i). Factor m(y).
2*y**2*(y - 1)*(y + 1)
Suppose 2 = 2*x - 6*x - 2*p, 4*p + 12 = -4*x. Factor -2*k**2 - x - k + 2 - k.
-2*k*(k + 1)
Let o = -176 - -361/2. Find k such that 1/2*k**5 + 7/2*k**2 + o*k**3 + 0 + k + 5/2*k**4 = 0.
-2, -1, 0
Factor -3*c**3 + 2*c**3 + 9*c**3 - 9*c**2 - 5*c**3.
3*c**2*(c - 3)
Let i(n) be the first derivative of -18*n**5/25 + 21*n**4/20 + n**3/5 - 3*n**2/5 - 6. Solve i(l) = 0.
-1/2, 0, 2/3, 1
Let p = -8 - -13. Let v = 20 + -15. Solve y**p - 3*y**v - 2*y**4 + 0*y**5 = 0.
-1, 0
Let o(m) be the first derivative of -14*m**6/3 - 114*m**5/5 - 44*m**4 - 124*m**3/3 - 18*m**2 - 2*m - 40. Let o(f) = 0. Calculate f.
-1, -1/14
Let x(c) be the third derivative of -c**6/105 + 23*c**5/210 - 5*c**4/14 - 3*c**3/7 + 7*c**2 + 5*c. Determine z, given that x(z) = 0.
-1/4, 3
Let i(r) be the second derivative of -2*r**6/15 - 2*r**5/5 + r**4 - r. Factor i(l).
-4*l**2*(l - 1)*(l + 3)
Let k be 78/(-65)*2/(-6). What is s in 6/5*s - 2/5 - 6/5*s**2 + k*s**3 = 0?
1
Let q(h) = -7*h**2 - 5*h - 6. Let z = -17 - -12. Let x(v) = -6*v**2 - 4*v - 5. Let i(m) = z*q(m) + 6*x(m). Factor i(t).
-t*(t - 1)
Let m(y) be the second derivative of -y**4/72 + 5*y**3/36 - y**2/3 - 4*y. Let m(t) = 0. What is t?
1, 4
Let d(k) be the third derivative of -k**7/105 + k**6/30 - k**4/6 + k**3/3 + k**2 - 20. Determine j, given that d(j) = 0.
-1, 1
Let a = 401/203 - -9/29. Let y be ((-1)/(-4))/((-2)/(-24)). Let 2/7*c + 4/7*c**2 - a*c**y + 0 = 0. What is c?
-1/4, 0, 1/2
Let i(f) be the third derivative of -f**9/20160 - f**8/5040 + f**7/5040 + f**6/360 + f**5/30 + 3*f**2. Let w(m) be the third derivative of i(m). Factor w(c).
-(c + 1)**2*(3*c - 2)
Let b(q) = -q - 2. Let v be b(-6). Let f(n) = 3*n**2 - 13*n - 4. Let m(j) = 6*j - 8*j**2 - 2*j + 1 + 7*j**2. Let h(i) = v*f(i) + 14*m(i). Factor h(u).
-2*(u - 1)**2
Let v be (9/6 + 1)*2. Let i(h) = -h**3 + 5*h**2 + h - 2. Let q be i(v). Factor 0 - 2/7*n**q + 2/7*n + 0*n**2.
-2*n*(n - 1)*(n + 1)/7
Let a(o) be the second derivative of o**6/900 - o**4/60 + 5*o**3/6 + 5*o. Let j(r) be the second derivative of a(r). Factor j(q).
2*(q - 1)*(q + 1)/5
Let l be 0 + (-1 - 135/(-84)). Let y = l + 1/4. Suppose -y*v**2 - 2/7 + 2/7*v**3 + 6/7*v = 0. Calculate v.
1
Let x(h) = 21*h**2 - 84*h + 36. Let o be 3*8/12*2. Let a(l) = 3*l**2 - 12*l + 5. Let j(n) = o*x(n) - 27*a(n). What is y in j(y) = 0?
1, 3
Let y(r) be the second derivative of r**4/2 + 15*r**3/2 + 21*r**2/2 - 12*r. Determine n, given that y(n) = 0.
-7, -1/2
Let o(s) = 6*s**2 + 6*s. Let z(k) = k**3 - 6*k**2 - 7*k. Let f(h) = 4*o(h) + 3*z(h). Let f(g) = 0. What is g?
-1, 0
Factor 1/2*v**3 + 0*v - 1/4*v**4 + 0*v**2 + 0.
-v**3*(v - 2)/4
Let g = 6 - 4. Factor -3*p**3 + 1 + 0*p**3 - 21*p**g - 6*p**3 - 15*p - 4.
-3*(p + 1)**2*(3*p + 1)
What is z in 66*z**4 + 4/3*z**3 - 104/9*z**2 + 0 - 54*z**5 - 16/9*z = 0?
-2/9, 0, 2/3, 1
Let h(y) = -y**3 + y**2 + y. Let g = -3 - -4. Let z(c) = 3*c**4 - 11*c**3 + 8*c**2 + 5*c. Let n(f) = g*z(f) - 5*h(f). Factor n(b).
3*b**2*(b - 1)**2
Let z = 29 - 24. Let f(x) be the first derivative of -1/22*x**4 + 0*x - 1 - 2/55*x**z + 1/11*x**2 + 2/33*x**3. Find o, given that f(o) = 0.
-1, 0, 1
Solve -3*c**4 + 0 + 5/4*c**5 + 3*c**2 - c - 1/4*c**3 = 0 for c.
-1, 0, 2/5, 1, 2
Suppose 5*m = -4*h + 9, h - 8*m - 15 = -5*m. Let w(j) be the second derivative of -3*j**2 - 7/5*j**h - 3/2*j**3 + 0 + 9/20*j**5 - 3*j + 4*j**4. Solve w(d) = 0.
-1, -2/7, 1/2, 1
Let k(l) = -l**3 - 3*l**2 + l. Let z be k(-3). Let g = z + 3. Solve 2/5*s**2 - 2/5*s + g = 0 for s.
0, 1
Let h(a) be the first derivative of a**6/900 - a**5/75 + a**4/15 - 5*a**3/3 + 5. Let o(w) be the third derivative of h(w). Let o(n) = 0. Calculate n.
2
Factor 2*l**2 + 19*l - 4 - 28*l - 6 + 17*l.
2*(l - 1)*(l + 5)
Let m be (3 + (-5)/10)*4/35. Factor -4/7 + m*v + 2/7*v**2.
2*(v - 1)*(v + 2)/7
Let t(z) = 2*z**2 + 2*z - 4. Let a be 1*1/(-2)*18. Let i(j) = -4*j**2 - 4*j + 9. Let g = -2 + -2. Let r(x) = a*t(x) + g*i(x). Find u such that r(u) = 0.
-1, 0
Solve 0*t**2 + 0*t + 0*t**4 - 1/5*t**5 + 1/5*t**3 + 0 = 0.
-1, 0, 1
Let o(r) = 33*r**3 + 21*r**2 - 36*r + 3. Let l(t) = 8*t**3 + 5*t**2 - 9*t + 1. Let y(n) = -21*l(n) + 5*o(n). Suppose y(d) = 0. What is d?
-2, 1
Let q = 1182 - 708. Factor -80*t**2 + 188*t**2 + 300*t**2 - 1029*t**3 + q*t**2 - 252*t + 24.
-3*(7*t - 2)**3
Let m(r) be the first derivative of -3*r**6/7 - 68*r**5/35 + 4*r**4/7 - 46. Factor m(y).
-2*y**3*(y + 4)*(9*y - 2)/7
Let a = 21/20 - 1. Let d(n) be the second derivative of -1/60*n**6 + 0 + 0*n**2 + 0*n**3 - 1/24*n**4 + 2*n + a*n**5. Factor d(t).
-t**2*(t - 1)**2/2
Let k(x) = x**2 - 8*x**2 - 2*x**3 - 6*x + 15*x**2. Let r(l) = -2*l**3 + 8*l**2 - 6*l. Let m(b) = -3*k(b) + 2*r(b). Solve m(a) = 0.
0, 1, 3
Let f be ((-4)/76 - -2) + -1. Let p = 147/95 - f. Suppose p*s**2 + 3/5 + 6/5*s = 0. Calculate s.
-1
Let f = -79 - -81. Let l(o) be the first derivative of -1 + 2/9*o**3 + o**f + 4/3*o. Suppose l(q) = 0. Calculate q.
-2, -1
Let g(s) be the first derivative of 147*s**4/4 + 126*s**3 + 90*s**2 + 24*s - 4. What is q in g(q) = 0?
-2, -2/7
Let s(j) be the first derivative of 2*j**3/3 - 2*j + 5. Factor s(n).
2*(n - 1)*(n + 1)
Let n(j) be the first derivative of 3*j**5/25 + 3*j**4/10 - j**3/5 - 3*j**2/5 + 3. Factor n(m).
3*m*(m - 1)*(m + 1)*(m + 2)/5
Let d(f) be the second derivative of 0 + 0*f**2 - 1/90*f**5 - 1/54*f**4 + 1/189*f**7 + 2*f + 1/135*f**6 + 0*f**3. Factor d(w).
2*w**2*(w - 1)*(w + 1)**2/9
Let y(k) be the third derivative of 8*k**7/315 + k**6/15 - k**5/12 + k**4/36 + 3*k**2. Factor y(j).
j*(j + 2)*(4*j - 1)**2/3
Let w(z) be the first derivative of 3*z**4/8 - z**3/2 - 3*z**2/2 - 9. Suppose w(m) = 0. What is m?
-1, 0, 2
Suppose 3*d = 6, 0 = -3*i + 3*d - 38 + 14. Let n(m) = -5*m**3 + m**2 + 6*m. Let s(o) = o**3 - o. Let z(k) = i*s(k) - n(k). Factor z(p).
-p**2*(p + 1)
Let a be (-1 + (-4)/60*-17)*3. Let r be -4*1/(-10) - 0. Factor 0 - r*f**2 - a*f + 2/5*f**3 + 2/5*f**4.
2*f*(f - 1)*(f + 1)**2/5
Let s(o) = -o**3 - 2*o - 3. Let l be s(-2). Suppose -2*w + l = w. Factor x**2 - 1 + 3*x**2 + 2 - w - 2*x**4.
-2*(x - 1)**2*(x + 1)**2
Let x be 39956/(-110) + (-2)/5. Let s = x + 364. Let -6/11*t - s - 2/11*t**2 = 0. What is t?
-2, -1
Let z be 24/(-90)*-5*1/6. Factor -4/9*x**3 + 4/9*x + z*x**2 + 0 - 2/9*x**4.
-2*x*(x - 1)*(x + 1)*(x + 2)/9
Let 107*t**4 + 13*t - 7*t**2 + 0 - 6 - t**3 - 106*t**4 = 0. Calculate t.
-3, 1, 2
Let i = -9 + 15. Find u such that -8*u**5 + i*u**5 + 3*u - 6*u**3 + 5*u**5 = 0.
-1, 0, 1
Let m be 1*-2 - -4 - -9. Suppose z + 2*l - 12 = 0, -3*l + 16 = 3*z - m. Find o, given that -2*o**3 - 2*o**2 - 2*o**3 + z*o**3 = 0.
0, 1
Let x(m) be the second derivative of -1/45*m**6 + 0*m**4 + 1/30*m**5 + 2*m + 0*m**3 + 0 + 0*m**2. Factor x(y).
-2*y**3*(y - 1)/3
Let a