*2*(i - 1)**3
Suppose 50 = -0*n + 2*n. Let h be (-4)/10 + 10/n. Factor 0*t**3 + 0 + 2/3*t**2 + h*t - 2/3*t**4.
-2*t**2*(t - 1)*(t + 1)/3
Let w(z) be the third derivative of -z**6/420 - z**5/105 + z**4/28 - 27*z**2. Factor w(v).
-2*v*(v - 1)*(v + 3)/7
Let j(v) = 2*v**2 + 3*v - 1. Let z be j(-3). Let y be 1/(-2) - (-28)/z. Factor b**4 - 8*b**2 + 2*b**2 + y + 0*b**2 + 2*b**4.
3*(b - 1)**2*(b + 1)**2
Let c(s) be the first derivative of -3/2*s**4 + 4/5*s**5 + 0*s + 1/3*s**6 + 1 - 8/3*s**3 + 4*s**2. Let c(z) = 0. Calculate z.
-2, 0, 1
Let o = 12 + -33. Let p be (-4)/12 + (-25)/o. Solve 6/7*f**4 - p*f**2 + 2/7*f + 0 - 2/7*f**3 = 0 for f.
-1, 0, 1/3, 1
Suppose 3*g - 4 = 2. Suppose 2*j**3 - 17*j**2 - 3*j**3 - j**4 + j**5 + 18*j**g = 0. Calculate j.
-1, 0, 1
Let n(x) be the third derivative of x**8/40320 - x**7/5040 + x**6/1440 - x**5/15 - 2*x**2. Let g(f) be the third derivative of n(f). Factor g(d).
(d - 1)**2/2
Factor -2/9*s**2 + 10/9*s - 2/9*s**3 - 2/3.
-2*(s - 1)**2*(s + 3)/9
Suppose 12 = v + 2*v. Suppose 0 = 3*o - v*o. Solve o*w + 18*w**5 + w - 22*w**3 + 3*w - 6*w**2 + 6*w**4 = 0 for w.
-1, -2/3, 0, 1/3, 1
Let g be (-2)/175*(60/16 - 5). Let p(z) be the second derivative of -1/7*z**3 + 0 + 0*z**4 - 3*z - 2/7*z**2 + g*z**5. Factor p(d).
2*(d - 2)*(d + 1)**2/7
Let v(m) be the first derivative of -2 + 3/20*m**5 + 1/3*m**3 + 0*m + m**2 - 3/8*m**4. Let o(n) be the second derivative of v(n). Let o(u) = 0. Calculate u.
1/3, 2/3
Suppose -1 - 3 = -2*y. Suppose -4*x - 4*m + 34 - 14 = 0, -3*x + 2*m = 0. Factor -2*u**2 + 3*u**x + 1 - y.
(u - 1)*(u + 1)
Let j(o) be the first derivative of -5*o**4/4 + 23*o**3/3 + 20*o**2 + 12*o - 17. Find p such that j(p) = 0.
-1, -2/5, 6
Let j be (-180)/27*18/4. Let y = 32 + j. Suppose -2/9*s + 4/9*s**y - 4/9 + 2/9*s**3 = 0. Calculate s.
-2, -1, 1
Factor 7/3 - 8/3*h + 1/3*h**2.
(h - 7)*(h - 1)/3
Let f be (-57)/(-6) - 4/(-8). Determine c so that f*c**3 - 4*c**2 + 2*c - 9*c**3 + c**2 = 0.
0, 1, 2
Let i(m) be the second derivative of m**5/60 + m**4/12 + m**2/2 - 2*m. Let z(t) be the first derivative of i(t). Suppose z(p) = 0. What is p?
-2, 0
Let w(r) be the second derivative of -r**7/231 - 2*r**6/165 - r**5/110 - 7*r. Solve w(h) = 0 for h.
-1, 0
Let w(d) be the third derivative of -d**8/336 + d**7/30 - 3*d**6/20 + d**5/3 - d**4/3 - 12*d**2. Factor w(z).
-z*(z - 2)**3*(z - 1)
Factor 58*a - 173*a**2 - 3 + 26*a**2 - 16*a.
-3*(7*a - 1)**2
Let w(v) be the first derivative of v**6/12 + v**5/5 - v**3/3 - v**2/4 + 18. Factor w(z).
z*(z - 1)*(z + 1)**3/2
Let m(z) be the first derivative of -3*z**5/5 - 3*z**4/2 + 3*z**2 + 3*z + 5. Find v, given that m(v) = 0.
-1, 1
Let c(w) = -20*w**4 - 28*w**3 - 3*w**2 + 5*w - 5. Let m(x) = 30*x**4 + 42*x**3 + 4*x**2 - 8*x + 8. Let j(k) = 8*c(k) + 5*m(k). Determine l, given that j(l) = 0.
-1, -2/5, 0
Suppose -1 = 4*p - 21, -2*r + 11 = p. Factor 2*j**3 - 2*j**4 - r*j**3 + 5*j**3 - 2*j**2.
-2*j**2*(j - 1)**2
Let x be 28/8*-4 + 2. Let s be 3 + 6*3/x. Factor 3/2*c**3 - 3/2*c + 3/2*c**4 - s*c**2 + 0.
3*c*(c - 1)*(c + 1)**2/2
Let k be (-2)/(7/((-84)/16)). Factor 3/2*f**2 - k*f + 3/2*f**3 - 3/2.
3*(f - 1)*(f + 1)**2/2
Let a = 141 - 216. Let z be 10/(-14)*30/a. Factor 0 + z*j**4 - 4/7*j - 2/7*j**2 + 4/7*j**3.
2*j*(j - 1)*(j + 1)*(j + 2)/7
Suppose 5*j - 3*q = -1272, 4*j - 3*q + 4*q = -1021. Let a = -1779/7 - j. Factor -2/7*g**3 - a*g + 6/7*g**2 + 2/7.
-2*(g - 1)**3/7
Let j(f) be the second derivative of -f**5/40 + f**4/24 + f**3/3 - f**2 + 29*f + 1. Find z such that j(z) = 0.
-2, 1, 2
Let h = -1052/9 - -117. Let y(s) be the first derivative of 2/27*s**3 - 2/9*s - 1 + h*s**2 - 1/18*s**4. Find a, given that y(a) = 0.
-1, 1
Suppose 3*j + 80 = 5*a, -6*a + 3*a + 48 = -3*j. Suppose a = -2*u + 6*u. Factor 0*b**3 + 0*b + 2/9 + 2/9*b**u - 4/9*b**2.
2*(b - 1)**2*(b + 1)**2/9
Let z be 6/8 + (2/8)/(-1). What is u in -z*u**3 + 0*u**2 + 3/2*u + 1 = 0?
-1, 2
Let c(x) be the second derivative of -3*x**5/10 + x**4/6 + x. Factor c(f).
-2*f**2*(3*f - 1)
Let s(u) = -2*u**2 + 2*u + 4. Let j(a) = a**2 - a - 2. Let y(r) = 5*j(r) + 3*s(r). Let p(l) = l**2 - l - 1. Let c(q) = 2*p(q) + y(q). Factor c(z).
z*(z - 1)
Factor 7*n**3 - 3*n - 38 - 6*n**3 + 2*n**2 + 20 + 2*n**2.
(n - 2)*(n + 3)**2
Let q(w) be the second derivative of 1/15*w**6 + 2/5*w**5 + 4/3*w**3 + w**2 + 2*w + w**4 + 0. Suppose q(v) = 0. Calculate v.
-1
Let j(t) = 6*t**3 + 9*t**2 + 6*t + 3. Suppose -3*u = -n - 8, 0*n = -4*u + n + 11. Let z(s) = -s**3 + s. Let y(k) = u*z(k) + j(k). What is v in y(v) = 0?
-1
Suppose 0 = 2*o + 1 - 5. Suppose 2 = -5*c + 12. Determine g, given that g + g + c + 2 - o*g**2 = 0.
-1, 2
Let d(g) be the first derivative of -g**7/70 + g**6/8 - 9*g**5/20 + 7*g**4/8 - g**3 - 5*g**2/2 + 1. Let y(k) be the second derivative of d(k). Factor y(z).
-3*(z - 2)*(z - 1)**3
Let d(j) be the third derivative of 3*j**6/20 - 17*j**5/15 - 2*j**4/3 - 32*j**2. Factor d(z).
2*z*(z - 4)*(9*z + 2)
Let g be ((-18)/45)/(1/(-5)). Let n be (1 - g - -1) + 2. Solve -2/7*h + 0 + 0*h**n + 2/7*h**3 = 0.
-1, 0, 1
Let c(b) be the first derivative of -b**4/6 + b**3 - 2*b**2 - 3*b + 1. Let g(t) be the first derivative of c(t). Solve g(l) = 0.
1, 2
Let g be (((-16)/10)/(-2))/(32/240). Let 0 + 3/2*z**3 + 12*z**4 - g*z - 12*z**2 + 9/2*z**5 = 0. Calculate z.
-2, -1, -2/3, 0, 1
Let f(l) = -5*l**4 + l**3 + 3*l**2 + 10*l + 7. Let m(p) = 4*p**4 - 4*p**2 - 10*p - 6. Let g(y) = 4*f(y) + 6*m(y). Factor g(i).
4*(i - 2)*(i + 1)**3
Let w = -1461 + 1463. Let -1/2*q + 0 + 1/4*q**3 - 1/4*q**w = 0. What is q?
-1, 0, 2
Let l(y) be the first derivative of -y**3 + 3*y**2/2 + 6*y - 22. Factor l(b).
-3*(b - 2)*(b + 1)
Let o(h) be the third derivative of h**5/75 - 7*h**4/30 + 8*h**3/5 + 58*h**2. Suppose o(b) = 0. What is b?
3, 4
Let y = 24 - 19. Let d(x) be the third derivative of 0*x**3 + 0*x - 1/12*x**4 - 2*x**2 + 0 - 1/60*x**y + 1/120*x**6. Factor d(k).
k*(k - 2)*(k + 1)
Let c(g) = g**2 + 4*g. Let k(r) be the third derivative of r**5/60 + r**4/6 - r**3/6 + 5*r**2. Let t(w) = 5*c(w) - 4*k(w). Find p such that t(p) = 0.
-2
Let c(y) be the first derivative of 2*y**5/35 - y**4/14 + 3. Suppose c(v) = 0. What is v?
0, 1
Let w(a) = a**3 - 6*a**2 + 2. Let l be w(6). Let o(z) be the first derivative of 3/2*z**2 + l*z + 3 + 1/3*z**3. Factor o(g).
(g + 1)*(g + 2)
Let p(x) be the first derivative of x**5 - 10*x**3/3 + 5*x + 20. Let p(z) = 0. What is z?
-1, 1
Let b(n) = 2*n + 1. Let h be b(1). Let g = 4 - 0. Find i such that 0*i - 3*i**g - 18*i**h - 2*i - 12*i**2 - 5*i**4 = 0.
-1, -1/4, 0
Let w(d) be the first derivative of d**5/20 - 5*d**4/16 + d**3/2 + d**2/2 - 2*d + 4. Determine p so that w(p) = 0.
-1, 2
Let j(d) = 5*d + 160. Let w be j(-32). Factor 0*n - 1/2*n**2 + w.
-n**2/2
Let q(i) be the second derivative of i**6/30 - i**4/6 + i**2/2 - 3*i. Factor q(h).
(h - 1)**2*(h + 1)**2
Suppose 4*d = b - 25, -4*d = -b - 5*d. Suppose 3*y + 20 = b*m, -m + 4 = -4*y - 0*m. Let 2/7*o**2 + y*o + 0 - 4/7*o**3 + 2/7*o**4 = 0. Calculate o.
0, 1
Let q(f) be the first derivative of -3*f**2 + 0*f + f**3 + 0 + 2 + 0*f**3 + 3*f. Let q(y) = 0. What is y?
1
Factor 4/3*j - 1/3 - 1/3*j**4 - 2*j**2 + 4/3*j**3.
-(j - 1)**4/3
Let l(v) be the second derivative of -1/4*v**2 + 1/20*v**6 + 1/84*v**7 - 1/4*v**3 + 0 + 1/20*v**5 - 4*v - 1/12*v**4. Factor l(d).
(d - 1)*(d + 1)**4/2
Let o(c) = -36*c**2 + 240*c - 939. Let k(d) = -7*d**2 + 48*d - 188. Let m(a) = -21*k(a) + 4*o(a). Factor m(l).
3*(l - 8)**2
Determine n so that 3/2*n**3 - 3/2*n**2 - 3/2*n + 3/2 = 0.
-1, 1
Suppose -2*d + 2 - 6 = 0. Let a = d - -4. Factor -1 + 3 + 5*r - 4*r**2 - 3*r**a.
-(r - 1)*(7*r + 2)
Let i(d) be the third derivative of d**5/420 + d**4/42 - 12*d**2. Factor i(j).
j*(j + 4)/7
Let u be (-6)/(-15)*20/4. Find j, given that 6*j + 8 + 12*j - 10*j**2 + 0*j - u*j = 0.
-2/5, 2
Let g(r) be the third derivative of r**7/105 - r**6/10 + 16*r**2. Factor g(d).
2*d**3*(d - 6)
Find y such that -1/2*y**2 + 0 - 1/3*y - 1/6*y**3 = 0.
-2, -1, 0
Let u(t) be the first derivative of 1/20*t**5 + 1/4*t**4 - 2*t**2 + 3 + 0*t + 0*t**3. Let b(i) be the second derivative of u(i). Suppose b(f) = 0. What is f?
-2, 0
Let l(g) = -34*g**2. Let w be l(1). Let k be w/(-8) + (3 - 6). Solve c**2 + 1/4 - k*c = 0 for c.
1/4, 1
Let z = -13 + 20. Let x = 9 - z. Factor 0*w + 1/3*w**x + 0.
w**2/3
Factor -6/5*l**2 -