r**3 + 4*r**2 + 35*r**3.
-4*r**2*(r - 1)
Let f be ((-8)/30)/(12/(-10)). Suppose 0 = -2*b - 5*i + 4, 2*i = -3*i. Find w such that 4/9*w**3 + 2/9*w**4 - 2/9*w - 4/9*w**b - 2/9*w**5 + f = 0.
-1, 1
Let q(i) be the third derivative of -3*i**8/560 - 17*i**7/175 - 57*i**6/100 - 22*i**5/25 + 9*i**4/8 + 5*i**3 + 8*i**2. Suppose q(n) = 0. What is n?
-5, -1, 2/3
Let y be (-4)/(-16)*4 + 2 + 2. Let o(v) be the second derivative of 0*v**2 + 0*v**3 + 4*v + 0*v**4 - 1/90*v**y + 0. Solve o(c) = 0 for c.
0
Let n(l) be the first derivative of 1/9*l**2 + 4/27*l**3 + 3 + 1/18*l**4 + 0*l. What is u in n(u) = 0?
-1, 0
Let k = 31/5 - 6. Let y(z) be the second derivative of 0 + 1/100*z**5 + 2*z + k*z**2 - 1/10*z**3 + 0*z**4. Factor y(f).
(f - 1)**2*(f + 2)/5
Let b(i) = -i**5 - i**3 + i. Suppose 4*l - 6 = 2*l. Let p = l - 4. Let d(h) = 2*h**5 - 2*h**4 + 6*h**3 + 2*h**2 - 4*h. Let s(c) = p*d(c) - 4*b(c). Factor s(j).
2*j**2*(j - 1)*(j + 1)**2
Let m(k) be the third derivative of 8*k**2 - 1/30*k**6 - 2/105*k**7 + 0*k**3 + 0*k + 0*k**4 + 0*k**5 + 0. Factor m(d).
-4*d**3*(d + 1)
Let c(w) be the third derivative of -w**7/3780 + w**5/180 - w**4/24 + w**2. Let g(i) be the second derivative of c(i). Let g(n) = 0. What is n?
-1, 1
Let d(t) be the first derivative of t**3/3 + 7*t**2/2 + 8*t - 1. Let j be d(-6). Factor g - j*g**4 + g**2 + g**2 + 0*g**5 - g**5.
-g*(g - 1)*(g + 1)**3
Let t be 6/(-1) + 2 - (-72)/14. Factor t*y + 6/7*y**3 - 16/7*y**2 + 0.
2*y*(y - 2)*(3*y - 2)/7
Let g(y) be the third derivative of 0*y**4 + 0*y**3 - 1/360*y**6 + 0 + 3*y**2 - 1/180*y**5 + 0*y. Let g(s) = 0. What is s?
-1, 0
Let c(a) be the second derivative of -3*a**5/80 + a**4/8 + a**3/8 - 3*a**2/4 - 25*a. Factor c(x).
-3*(x - 2)*(x - 1)*(x + 1)/4
Let a be 1 + (124/(-22))/(-2). Determine n so that -a*n**2 + 14/11*n**4 + 40/11*n - 8/11 - 4/11*n**3 = 0.
-2, 2/7, 1
Let o(h) be the second derivative of -h + 4/3*h**3 + 0*h**2 + 0 - 1/15*h**6 - 3/10*h**5 + 0*h**4. Factor o(n).
-2*n*(n - 1)*(n + 2)**2
Factor -16*o - 18*o**3 + 14*o**2 + 9*o**4 + 12*o - 2*o**5 + o**4.
-2*o*(o - 2)*(o - 1)**3
Let m(j) = j**5 + 1. Let n(w) = -w**3 + w**2 - w + 1. Let v be n(0). Let r(o) = -5*o**5 + o**4 - 6. Let g(p) = v*r(p) + 6*m(p). Find f, given that g(f) = 0.
-1, 0
Let w = 364 - 1447/4. Let t(a) be the first derivative of -3*a - 1/2*a**3 + w*a**2 - 2. Let t(r) = 0. What is r?
1, 2
Let u(v) be the second derivative of v**6/80 - 3*v**5/160 - v**4/16 + 24*v. Factor u(z).
3*z**2*(z - 2)*(z + 1)/8
Let o(b) = b - 2*b + 1 + 3 + 4. Let q be o(6). Factor f + f**4 + f**q + 3*f**3 - 2*f**4 - 2*f**3 - 2*f.
-f*(f - 1)**2*(f + 1)
Let x(y) = 2*y - 6. Let c be x(5). Factor 2*u**2 - 3*u + 0*u - c*u**2 - 1.
-(u + 1)*(2*u + 1)
Let o = 347 + -2045/6. Let m = 13/2 - o. Suppose 0*t**2 + 0 + 0*t + m*t**3 = 0. Calculate t.
0
Let i = 3 - 6. Let t(x) = 3*x**2 + 5*x - 3. Let q(l) = l**2 + 2*l - 2. Let h(g) = i*t(g) + 5*q(g). Factor h(o).
-(o + 1)*(4*o + 1)
Let l(f) = 46*f**3 - 72*f**2 - 45*f - 6. Let x(m) = 321*m**3 - 504*m**2 - 315*m - 42. Let j(k) = 15*l(k) - 2*x(k). Factor j(g).
3*(g - 2)*(4*g + 1)**2
Let t(d) be the second derivative of -d**4/30 - 2*d**3/15 - d. Determine o so that t(o) = 0.
-2, 0
Let c(m) = m. Let d(p) = 4*p**2 - 10*p + 3. Let w(a) = -5*a**2 + 11*a - 4. Let g(s) = -4*d(s) - 3*w(s). Let i(j) = -39*c(j) + 6*g(j). Factor i(x).
-3*x*(2*x - 1)
Let t(h) be the first derivative of -h**6/27 - 14*h**5/45 - 19*h**4/18 - 50*h**3/27 - 16*h**2/9 - 8*h/9 - 2. Let t(x) = 0. Calculate x.
-2, -1
Suppose -81 = -26*g - g. Factor 0*c + 4*c**g - 4/3*c**2 + 0.
4*c**2*(3*c - 1)/3
Factor 0 + 0*w**3 + 0*w + 3/2*w**4 + 0*w**2 - 3/2*w**5.
-3*w**4*(w - 1)/2
Let z(d) = -d**2 - 9*d + 10. Let c be z(-10). What is r in 0 + 0*r**4 - 2/13*r**5 + 0*r + 0*r**2 + c*r**3 = 0?
0
Let u(s) be the first derivative of 25*s**3/21 - 5*s**2/7 + s/7 + 1. Factor u(w).
(5*w - 1)**2/7
Let n be 48/(-40)*50/(-30). Factor 2/11 - 2/11*w**n + 0*w.
-2*(w - 1)*(w + 1)/11
Let m(y) be the first derivative of 3*y**5/25 + 3*y**4/10 - y**3/5 - 3*y**2/5 - 10. Factor m(g).
3*g*(g - 1)*(g + 1)*(g + 2)/5
Let j = -338 + 341. Determine r, given that 8/3*r**2 - 10/3*r - 2/3*r**j + 4/3 = 0.
1, 2
Let l(v) = 40*v**2 + 8*v + 1. Let d(j) = j**2 - j. Let w(x) = 12*d(x) - 3*l(x). Factor w(k).
-3*(6*k + 1)**2
Let k(l) be the third derivative of -1/45*l**5 - 2*l**2 - 1/9*l**3 + 5/72*l**4 + 1/360*l**6 + 0 + 0*l. What is g in k(g) = 0?
1, 2
Let j(w) be the second derivative of 5*w**7/42 + 3*w**6/2 + 2*w**5 - 18*w. Suppose j(f) = 0. Calculate f.
-8, -1, 0
Let k = 37/69 - -3/23. Let v be (-6*2/(-60))/((-6)/(-10)). Factor k*b - v - 1/3*b**2.
-(b - 1)**2/3
Let p(h) be the third derivative of h**5/330 - h**4/132 + 2*h**2. Determine v so that p(v) = 0.
0, 1
Suppose -88 = -i + p, 4*p - 161 = -2*i + p. Let l be (-6)/(-20)*i/102. What is f in 3/4*f + l*f**3 - 1/4 - 3/4*f**2 = 0?
1
Let h be -1 + 32/90 + 1. Let q = h - -2/45. Factor 2/5*a**2 - q*a - 4/5.
2*(a - 2)*(a + 1)/5
Let c(q) be the second derivative of 0 + 0*q**2 + 2/5*q**5 - q + 0*q**3 + 1/42*q**7 - 1/6*q**6 - 1/3*q**4. Factor c(f).
f**2*(f - 2)**2*(f - 1)
Let j(a) be the third derivative of a**6/100 - 4*a**5/75 + 7*a**4/60 - 2*a**3/15 + 26*a**2. Factor j(n).
2*(n - 1)**2*(3*n - 2)/5
Solve -2 - 2/3*u**2 - 8/3*u = 0.
-3, -1
Let y(l) be the first derivative of -l**6/3 - 22*l**5/15 + 5*l**4/3 + 68*l**3/9 - 13*l**2 + 6*l + 9. Suppose y(b) = 0. What is b?
-3, 1/3, 1
Let i be (2*3)/((-3)/(-2)). Let b(p) be the first derivative of 0*p**i - 1/6*p**3 + 0*p + 1/24*p**6 - 1 - 1/8*p**2 + 1/10*p**5. Factor b(m).
m*(m - 1)*(m + 1)**3/4
Let o = 30 + -30. Solve 6/5*p**5 + 0*p + 4/5*p**2 - 8/5*p**4 - 2/5*p**3 + o = 0 for p.
-2/3, 0, 1
Let h(f) be the third derivative of f**5/420 + f**4/24 - 4*f**3/21 - 8*f**2 - 1. Factor h(k).
(k - 1)*(k + 8)/7
Let b(h) be the third derivative of h**6/300 + h**5/75 + h**4/60 - 6*h**2. Let b(v) = 0. What is v?
-1, 0
Let q(m) be the first derivative of 0*m - 1/3*m**3 - 1/10*m**5 - 3/8*m**4 + 0*m**2 - 3. Suppose q(b) = 0. Calculate b.
-2, -1, 0
Let i(m) = -m**3 - m**2 - m + 2. Let o be i(-2). Let p be 5/105*(o - 2). Suppose 0 - p*y**3 + 2/7*y**2 + 0*y = 0. What is y?
0, 1
Let k(u) = -u + 10. Let y be k(10). Let z(p) be the first derivative of -2 + y*p**2 + 2/5*p - 2/15*p**3. Find c, given that z(c) = 0.
-1, 1
Let i(p) be the second derivative of 0 - 1/8*p**4 + 0*p**2 + 3*p - 1/4*p**3. Solve i(n) = 0 for n.
-1, 0
Let o(u) be the third derivative of -u**5/160 - 5*u**4/64 - u**3/4 - 17*u**2. Find h such that o(h) = 0.
-4, -1
Suppose -2*h + f = 0, h - 4*h - 9 = 3*f. Let g be (h - 2)/6*0. Let g*w + 2/5 - 2/5*w**2 = 0. Calculate w.
-1, 1
Let t(c) = c**3 + 7*c**2 + 5*c - 2. Let p be t(-6). Suppose 1/3 - 7/3*q**2 - 2/3*q**3 - 1/2*q + 7/6*q**5 + 2*q**p = 0. What is q?
-1, 2/7, 1
Factor -36*c**2 - 15 + 7*c + 63*c**2 + 13*c - 32*c**2.
-5*(c - 3)*(c - 1)
Let j = -1032 - -1032. Suppose j - 3/4*z**5 + 7/2*z**4 + 1/2*z**2 - 4*z**3 + 3/4*z = 0. What is z?
-1/3, 0, 1, 3
Factor 1/3*y**2 + 0 + 0*y.
y**2/3
Let a = 0 + 2. Let w be 3*(4/(-14) - (-40)/42). Suppose -6*y**w + a*y**3 + 8/5 + 6*y**4 + 0*y - 18/5*y**5 = 0. Calculate y.
-2/3, 1
Let l(y) be the third derivative of y**5/150 - 7*y**4/60 + 2*y**3/5 - 30*y**2. Factor l(d).
2*(d - 6)*(d - 1)/5
Determine u so that 0 + 0*u + 1/6*u**2 = 0.
0
Let t(v) be the first derivative of 0*v + 4/15*v**3 + 1/10*v**4 + 1/5*v**2 + 2. Factor t(r).
2*r*(r + 1)**2/5
Let q(r) = -r**3 + 2*r**2 + 3*r + 4. Suppose -4*a + 12 + 0 = 0. Let v be q(a). Find y such that -2 + v*y - 3*y**2 + 4 - 3 + 0 = 0.
1/3, 1
Let g(x) be the second derivative of 0*x**3 + 0 + x + 0*x**2 + 1/70*x**5 + 0*x**4 - 1/105*x**6. Factor g(k).
-2*k**3*(k - 1)/7
Let -2/7 - 4/7*n - 2/7*n**2 = 0. What is n?
-1
Let s(y) be the first derivative of -y**6/30 + y**5/10 - y**3/3 + y**2/2 - 3*y - 1. Let t(c) be the first derivative of s(c). Let t(l) = 0. Calculate l.
-1, 1
Let l be 1/(2 + 10/(-6)). Suppose 3*h - 4*b = 7, -h + l*b = -6*h + 31. Factor -1/2*j**5 - h*j**2 - 5/2*j - 1/2 - 5/2*j**4 - 5*j**3.
-(j + 1)**5/2
Let q(s) be the third derivative of s**8/60480 - s**7/5040 + s**6/1080 - s**5/30 - 7*s**2. Let c(z) be the third derivative of q(z). Factor c(o).
(o - 2)*(o - 1)/3
Let p(s) be the first derivative of -2*s**3/21 - 2*s**2/7 - 2*s/7 - 11. Solve p(y) = 0 for y.
-1
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