 Suppose c(z) = 0. Calculate z.
-1, -1/3, 2/7
Let t(j) be the first derivative of 5*j**4/4 + 10*j**3 - 45*j**2/2 - 70*j - 97. Factor t(k).
5*(k - 2)*(k + 1)*(k + 7)
Let k(g) be the first derivative of -g**6/2 + 9*g**5/5 + 3*g**4/2 - 6*g**3 - 3*g**2/2 + 9*g + 85. Suppose k(d) = 0. Calculate d.
-1, 1, 3
Let y be (-3 - 0) + 3 - (-74 + 71). Factor 0*q**2 + 0 + 2/11*q**4 + 0*q**y + 0*q.
2*q**4/11
Let c(t) be the third derivative of -t**8/3360 - t**7/700 - t**6/1200 + t**5/200 + t**4/120 + 26*t**2 - 7. Let c(u) = 0. What is u?
-2, -1, 0, 1
Let w(c) be the first derivative of c**6/30 - c**5/5 + c**4/4 - 12*c - 41. Let j(u) be the first derivative of w(u). Factor j(s).
s**2*(s - 3)*(s - 1)
Let s(x) be the second derivative of -x**4/24 + 25*x**3/12 + 13*x**2/2 + 143*x. Solve s(t) = 0 for t.
-1, 26
Let j be (-2)/((-11 - 315/(-30))*(-2)/(-1)). Find q such that 2/7*q**3 + 0*q**j - 2/7*q + 0 = 0.
-1, 0, 1
Let v(o) be the third derivative of o**8/168 - o**6/20 + o**5/15 - 147*o**2. Let v(w) = 0. What is w?
-2, 0, 1
Factor 6*k + 18*k - 2*k - 114*k**2 + 23*k + 96*k**3 + 6*k**5 - 30*k**4 - 3*k**5.
3*k*(k - 5)*(k - 3)*(k - 1)**2
Suppose -2*s = -z + 6*z - 16, -2*z = -4*s - 16. Let l be (-12)/(-16)*z - 0. Factor -66*o**2 + 4 + 54*o**2 - 7*o**l - 3*o - 2.
-(o + 1)**2*(7*o - 2)
Let s(v) be the second derivative of -v**4/12 - 6*v**3 - 35*v**2/2 - v - 18. Factor s(b).
-(b + 1)*(b + 35)
Let y be ((27/6)/(-3))/(1/2). Let p be (-1)/(5/60*y). Find g such that -2/7*g**2 + 0 + 2/7*g**3 + 2/7*g**p - 2/7*g = 0.
-1, 0, 1
Let -1/4*u**2 - 9/2 - 9/4*u = 0. What is u?
-6, -3
Let j(t) be the second derivative of t**5/80 - t**4/6 + 7*t**3/24 + 65*t + 1. Find l such that j(l) = 0.
0, 1, 7
Let y = 17 + -21. Let l = -1 - y. Solve 3 - 9 - z**4 + 3*z + z**l + 4 - 4*z + 3*z**2 = 0 for z.
-1, 1, 2
Let k(n) = -15*n**2 + 40*n - 100. Let m(u) = -11*u**2 + 40*u - 100. Let c(p) = 4*k(p) - 5*m(p). Factor c(w).
-5*(w - 2)*(w + 10)
Solve 88*j - 148*j + 4*j**2 + 28*j = 0.
0, 8
Let y(t) = t**3 - 25*t**2 + 27*t + 56. Let r be y(23). Let x = r - -1549/4. Factor 5/2*a + 1/4*a**2 + x.
(a + 5)**2/4
Suppose -15*w + 10*w = 5*w. Let b(l) be the third derivative of 8/3*l**3 + 0 + 1/2*l**4 - 1/15*l**5 - 8*l**2 + w*l. Factor b(c).
-4*(c - 4)*(c + 1)
Let b(r) be the third derivative of -r**5/30 - 7*r**4/12 - 2*r**3 + 237*r**2. Suppose b(w) = 0. Calculate w.
-6, -1
Solve -45/2*h + 3/2*h**2 + 21 = 0.
1, 14
Let w = 50 - 48. Let k be 4/w + (0 - 48/27). Factor -k*v**3 + 2/9*v - 4/9 + 4/9*v**2.
-2*(v - 2)*(v - 1)*(v + 1)/9
Let p be (-70)/(-1120)*(-2 + 6). Factor -3/4*x**2 - 1/4 - p*x**3 - 3/4*x.
-(x + 1)**3/4
Let o = 4 + -5. Let c be ((-2)/o)/((-13)/(-26)). Find w such that -2*w + 0*w**2 - 8*w**2 - 2*w**3 + c*w**2 = 0.
-1, 0
Let z = 526 - 2627/5. Factor -z*d**4 + 0 - 2/5*d**2 + 0*d + 7/5*d**3.
-d**2*(d - 2)*(3*d - 1)/5
Suppose -5*r + 41 = 3*o, 2*r + 5*o = -r + 31. Let v(u) = -7*u**2 + 7*u + 6. Let s(q) = -8*q**2 + 8*q + 6. Let c(n) = r*v(n) - 6*s(n). Factor c(k).
-(k - 3)*(k + 2)
Factor 0 + 2/3*x**2 + 4/3*x.
2*x*(x + 2)/3
Let x(t) = 3*t**2 - t**2 + t**2 - 2*t**2. Let m(w) = 5*w**4 - 35*w**2. Let q(c) = -m(c) - 15*x(c). Solve q(h) = 0.
-2, 0, 2
Suppose -q = -0*q + 5*x + 23, 4*x = -q - 18. Suppose -8*l + 0 + 56 = 0. Factor l*n**2 - n**5 + 5*n**3 + 8*n**2 - 18*n**q - n**4 + 0*n**4.
-n**2*(n - 1)**2*(n + 3)
Let f(q) be the third derivative of q**7/4200 + q**6/1800 + q**3 + 22*q**2. Let o(j) be the first derivative of f(j). Factor o(n).
n**2*(n + 1)/5
Let y(z) = -4*z**4 - 37*z**3 + 84*z**2 - 45*z + 2. Let q(x) = -x**3 - x + 2. Let h(n) = -q(n) + y(n). Factor h(j).
-4*j*(j - 1)**2*(j + 11)
Suppose 4*c - 2*q = c + 6, -q + 23 = 5*c. Factor 4*p**3 - 3 + 4*p**2 - 1 + 0 - c*p.
4*(p - 1)*(p + 1)**2
Let y(u) = -6*u**5 + 18*u**3 - 4*u**2 + 8. Suppose 3 = 4*m - 29. Let r(w) = 2*w**5 - 6*w**3 + w**2 - 3. Let b(v) = m*r(v) + 3*y(v). Solve b(k) = 0 for k.
-2, 0, 1
Let h = -27 - -30. Factor -8 + 12 + 2*c**2 + h*c**2 - c**2 + 8*c.
4*(c + 1)**2
Suppose 9/2*v**4 + 0*v + 6*v**3 - 3/2*v**5 + 0*v**2 + 0 = 0. Calculate v.
-1, 0, 4
Let -282 - 480*v + 62*v**2 - 4*v**3 + 23*v**2 - 125 - 169 + 7*v**2 = 0. Calculate v.
-1, 12
Suppose 2*u = -u + 9. Suppose u*m - 12 = -m. Factor 6*f**m + 4*f**4 + 3*f**4 - 4*f**4.
3*f**3*(f + 2)
Let w(m) be the third derivative of m**5/40 - m**4/16 - 3*m**3 - 16*m**2 - 8. Factor w(o).
3*(o - 4)*(o + 3)/2
Let w = 66 - 56. Let k be (4 - w/8) + (-6)/8. What is v in 0*v + 0 + 0*v**k - 1/4*v**3 + 1/4*v**4 = 0?
0, 1
Let o(g) be the first derivative of -1/18*g**2 + 1/36*g**4 + 10 + 2/27*g**3 - 2/9*g. Determine z, given that o(z) = 0.
-2, -1, 1
Let j = -4593 - -4597. Suppose 0*m + 9/4*m**j + 3 - 21/4*m**2 - 3/4*m**5 + 3/4*m**3 = 0. Calculate m.
-1, 1, 2
Let h(m) be the third derivative of m**6/40 + m**5 - m**4/2 - 40*m**3 + 237*m**2. Factor h(b).
3*(b - 2)*(b + 2)*(b + 20)
Let i(m) be the first derivative of 1/4*m**3 + 27 - 3*m + 9/8*m**2. Factor i(t).
3*(t - 1)*(t + 4)/4
Determine x, given that 332/3*x + 13778/3 + 2/3*x**2 = 0.
-83
Let x(f) be the second derivative of 0 + 9*f + 1/9*f**4 - 1/30*f**5 + 0*f**2 - 1/9*f**3. Factor x(q).
-2*q*(q - 1)**2/3
Let l(m) = 7*m**3 + 2*m**2 - 35*m - 18. Let u(n) = -6*n**3 - 2*n**2 + 33*n + 18. Let a(p) = -3*l(p) - 4*u(p). Factor a(h).
(h - 3)*(h + 3)*(3*h + 2)
Let j(l) be the third derivative of -7/64*l**4 + 0*l + 1/32*l**5 + 0 + 1/8*l**3 + 25*l**2. What is r in j(r) = 0?
2/5, 1
Let h(p) be the third derivative of -p**5/120 - 11*p**4/12 + 15*p**3/4 - 237*p**2. Factor h(q).
-(q - 1)*(q + 45)/2
Let i(h) be the second derivative of -9*h**4/10 + 79*h**3/15 + 6*h**2/5 - 21*h - 1. Determine l, given that i(l) = 0.
-2/27, 3
Let o be ((-2)/(-3))/((-1)/(-9)). Let w(n) = -o*n + 20*n**2 + 2*n - 13*n + 3 + 2. Let t(g) = 7*g**2 - 6*g + 2. Let f(j) = 17*t(j) - 6*w(j). Factor f(i).
-(i - 2)*(i + 2)
Let v(o) = 7*o**2 + 27*o - 32. Let k(b) = 13*b**2 + 14*b**2 - 161 + 136*b + 9*b**2. Let a(z) = -2*k(z) + 11*v(z). Factor a(m).
5*(m - 1)*(m + 6)
Suppose -1944/5*w**2 - 270*w - 324/5 - 1056/5*w**3 - 128/5*w**4 = 0. Calculate w.
-6, -3/4
Let h(p) be the third derivative of -p**6/300 - p**5/150 + p**2 - 7. Suppose h(d) = 0. What is d?
-1, 0
Let z be (2/(16/(-17)))/((-8)/(-8)). Let j = z + 191/56. Factor -3/7*c**4 + j*c**3 + 3/7*c + 0 - 9/7*c**2.
-3*c*(c - 1)**3/7
Find i, given that 5/2*i**2 + 0*i + 35/4*i**3 + 25/4*i**4 + 0 = 0.
-1, -2/5, 0
Find x such that -2996*x**3 - 16 - 13*x**2 - 79*x**2 + 98*x + 3006*x**3 = 0.
1/5, 1, 8
Let k(p) be the third derivative of 1/8*p**4 + 0*p + 0 - 1/40*p**6 + 34*p**2 + 1/10*p**5 - p**3. Factor k(w).
-3*(w - 2)*(w - 1)*(w + 1)
Let n(q) be the first derivative of -4*q**3 + 6*q - 9 - 21/2*q**2. Find g, given that n(g) = 0.
-2, 1/4
Let w(s) be the second derivative of -s**7/14 + 11*s**6/10 - 21*s**5/4 + 25*s**4/4 - 25*s. Suppose w(y) = 0. Calculate y.
0, 1, 5
Let h(b) be the first derivative of -b**4/38 - 8*b**3/19 + b**2/19 + 24*b/19 + 496. Factor h(c).
-2*(c - 1)*(c + 1)*(c + 12)/19
Let z be ((-6)/(-9))/(16/((-528)/(-55))). Factor -z*q**3 + 54/5*q**2 + 1458/5 - 486/5*q.
-2*(q - 9)**3/5
Solve 620*x**3 + 0 + 76/3*x + 64/3*x**5 + 1312/3*x**4 + 688/3*x**2 = 0.
-19, -1, -1/4, 0
Let d be (-7 + (-1 - -3))*-1. Suppose -s = -0*s - d*s. Find i such that 1/2*i + s - 2*i**2 = 0.
0, 1/4
Suppose 2*y = -3*v + 49, -3*v + 4*v = 4*y + 7. Suppose -3*m + v = 0, -2*m = -3*w - 3*m + 11. Factor -6/11*b**3 + 0 + 4/11*b - 2/11*b**w.
-2*b*(b + 1)*(3*b - 2)/11
Let c be (-15)/(-5) - 0/3. What is m in 4*m**3 - m + 4*m**4 + 10*m**c + 5*m + 14*m**2 = 0?
-2, -1, -1/2, 0
Let z(r) be the third derivative of 0*r + 0 + 20*r**2 - 64/45*r**3 + 4/45*r**4 - 1/450*r**5. Factor z(n).
-2*(n - 8)**2/15
Let a(k) be the third derivative of k**6/36 + 4*k**5/45 - 19*k**4/36 + 2*k**3/3 + k**2 - 6*k. Let a(t) = 0. What is t?
-3, 2/5, 1
Suppose 4*j + 5*i = -12, -5*j + 10*i = 13*i + 2. Let 4/9*f**5 + 0*f**3 - 4/9*f + 8/9*f**4 - 8/9*f**j + 0 = 0. Calculate f.
-1, 0, 1
Let g(z) = -2*z**5 - z**4 - z**2. Let f(a) = -18*a**5 - 34*a**4 + 96*a**3 - 138*a**2. Let m(p) = -f(p) + 10*g(p). Find o such that m(o) = 0.
0, 4
Let 118*s**2 + 89779 - 62*s - 118*s + s**4 - 27*s**3 - 89691 = 0. Calculate s.
1, 2, 22
Let f(g) be the second derivative of 2*g**7/735 + g**6/70 + 2*g**5/105 + 7*g**2/2 + 23*g. Let q(r) be the first derivative of f(r)