+ 4*n**2/3 - 4*n. Suppose x(u) = 0. Calculate u.
-2, 1
Let v(f) be the third derivative of -f**5/20 - 3*f**4/4 + 7*f**3/2 - 43*f**2. Factor v(b).
-3*(b - 1)*(b + 7)
Let t = 24 + -68/3. Suppose 17*l - 75 = -7. Determine j, given that 5/3*j**3 + t*j**l - 5/3*j - 1/3 - j**2 = 0.
-1, -1/4, 1
Let v be 2 + (-2 + 2)*1. Factor v*p + p - 3*p**3 + 0*p.
-3*p*(p - 1)*(p + 1)
Let a(f) = f + 10. Let t be a(-7). Solve 9*n**4 + 4*n**3 + 5*n**3 + 4*n + 23*n**t + 5*n**4 + 22*n**2 = 0 for n.
-1, -2/7, 0
Let j(m) = -m - 15. Let d be j(-17). Suppose d*h + 0*h = 0. Suppose h*v - v**5 - 7/3*v**4 - 1/3*v**2 + 0 - 5/3*v**3 = 0. Calculate v.
-1, -1/3, 0
Let h(f) be the third derivative of -f**5/3 - 2*f**4/3 + 2*f**3/3 - 5*f**2. Let h(k) = 0. What is k?
-1, 1/5
Let n(z) be the third derivative of 0*z**4 - 1/300*z**5 + 0*z - 1/6*z**3 + 1/900*z**6 + z**2 + 0. Let t(k) be the first derivative of n(k). Factor t(j).
2*j*(j - 1)/5
Let k = 63949/35 - 1827. Let b(t) be the third derivative of 3*t**2 + 0 - 4/105*t**6 - 3/28*t**4 + 1/21*t**3 + 0*t + k*t**5. Factor b(v).
-2*(v - 1)*(4*v - 1)**2/7
Suppose 5*d - 1 = -1. Let u(t) = t**2 + 2*t + 3. Let b be u(-2). Factor 3/4*w**4 + 0*w + 1/2*w**5 + 0 + d*w**b - 1/4*w**2.
w**2*(w + 1)**2*(2*w - 1)/4
Let m(w) be the third derivative of -1/150*w**5 + 0*w + 1/15*w**3 + 8*w**2 + 0*w**4 + 0. Factor m(o).
-2*(o - 1)*(o + 1)/5
Let s(k) be the first derivative of -1 + 0*k**2 + 2/15*k**3 + 2/25*k**5 + 0*k - 1/5*k**4. Factor s(l).
2*l**2*(l - 1)**2/5
Factor 28/3*m + 0 + 4/3*m**2.
4*m*(m + 7)/3
Let n(m) be the second derivative of m**7/84 - m**5/10 + m**4/12 + m**3/4 - m**2/2 + 25*m. What is s in n(s) = 0?
-2, -1, 1
Let i be (42/(-12) - 0)*8/(-14). Factor 0*b - 2/3*b**i + 2/3*b**3 + 0.
2*b**2*(b - 1)/3
Let j(p) be the first derivative of p**6/60 - p**5/6 + 2*p**4/3 - 4*p**3/3 - 3*p**2/2 - 3. Let m(y) be the second derivative of j(y). Let m(f) = 0. What is f?
1, 2
Let y be (1/(21/(-12)))/((-2)/7). Let -3/2*v**3 + 0*v**y + 0 + 0*v = 0. Calculate v.
0
Let v(x) = -5*x**2 - 4*x. Suppose i + 10 = 6*i. Let o(f) = -2*f**i + 2*f**2 + 6*f**2 + 5*f. Let b(q) = -4*o(q) - 5*v(q). Factor b(k).
k**2
Let g(d) be the third derivative of d**6/180 - d**4/36 - 23*d**2. Factor g(r).
2*r*(r - 1)*(r + 1)/3
Let u = -67 - -99. Find w such that 5*w - 2 - 2 - 80*w**2 - u*w**3 - 39*w = 0.
-2, -1/4
Let q(y) be the second derivative of -1/6*y**4 + 0 + 0*y**2 - 1/6*y**3 + y - 1/20*y**5. Determine k so that q(k) = 0.
-1, 0
Let 6 - 175*g + 88*g - 2*g**2 + 83*g = 0. What is g?
-3, 1
Let c(u) be the first derivative of u**6/3 - 2*u**4 - 4*u**3/3 + 3*u**2 + 4*u + 4. Let c(n) = 0. Calculate n.
-1, 1, 2
Let b = 33/14 + -244/105. Let s(t) be the second derivative of 0*t**3 - 3*t - b*t**5 + 1/54*t**4 + 0 + 0*t**2 + 1/45*t**6 - 1/189*t**7. Factor s(w).
-2*w**2*(w - 1)**3/9
Let l = 0 - 6. Let g(u) = u**2 - 1. Let j(y) = 7*y**2 - y - 6. Let m(r) = l*g(r) + j(r). What is z in m(z) = 0?
0, 1
Suppose -7/2*y**3 - 3/4*y**4 - 4*y - 23/4*y**2 - 1 = 0. What is y?
-2, -1, -2/3
Let x(b) be the second derivative of -3/20*b**6 + 3/10*b**5 + 0 - 4*b + 0*b**3 + 0*b**2 - 1/8*b**4. Factor x(v).
-3*v**2*(v - 1)*(3*v - 1)/2
Suppose 0*a + a**2 - 1/3*a**3 + 0 = 0. What is a?
0, 3
Let p(g) be the first derivative of 0*g - 2/3*g**3 + 1/2*g**4 + 1/3*g**2 - 3 - 2/15*g**5. Factor p(m).
-2*m*(m - 1)**3/3
Let q(c) be the first derivative of -c**7/5040 - c**6/2160 + c**5/360 - c**3/3 - 3. Let v(k) be the third derivative of q(k). Factor v(s).
-s*(s - 1)*(s + 2)/6
Suppose 0 = 3*a - 9. Suppose a*r + 2*y = -y + 21, r - 27 = -5*y. What is v in 65*v**3 + 4 + 14*v**4 + 40*v - 14*v + 54*v**r - 19*v**3 = 0?
-1, -2/7
Suppose -38 = -4*w + p, -3*p + 4 + 52 = 5*w. Let k be 4/10 - w/25. Suppose 2/7*b**2 + 0 - 2/7*b**4 + k*b + 0*b**3 = 0. Calculate b.
-1, 0, 1
Let r(d) = d + 11. Let p be r(-11). Suppose p*w = -5*w. Factor 2/3*m**2 + w + 1/3*m**3 + 1/3*m.
m*(m + 1)**2/3
Let j(h) be the first derivative of -2*h**3/21 - 12*h**2/7 - 72*h/7 + 8. Let j(s) = 0. Calculate s.
-6
Let p(i) be the second derivative of i**5/100 - i**4/30 - i**3/30 + i**2/5 - 6*i. Solve p(d) = 0 for d.
-1, 1, 2
Let t(k) = -3*k**5 + 67*k**4 - 608*k**3 + 2125*k**2 - 3343*k + 1939. Let o(v) = -v**4 - v**3 - v**2 + v - 1. Let j(m) = 5*o(m) - t(m). Factor j(g).
3*(g - 9)**2*(g - 2)**3
Let q be 5/(-2)*(2 - 4). Suppose -2*o = -6, 22 = q*u - 0*u - o. Solve 0 + 7/5*c**4 + 2/5*c**u + 9/5*c**3 + 1/5*c + c**2 = 0 for c.
-1, -1/2, 0
Let b be 21/4 - 2/8. Let k(z) be the third derivative of -2/39*z**4 - 5*z**2 - 11/195*z**b + 0*z + 0 - 3/455*z**7 - 1/39*z**3 - 2/65*z**6. Factor k(j).
-2*(j + 1)**2*(3*j + 1)**2/13
Determine c, given that -27*c**3 + 0 - 4/3*c + 12*c**2 = 0.
0, 2/9
Let l(k) be the third derivative of 0 + 1/10*k**5 + 0*k + 7*k**2 + 3/40*k**6 + 0*k**3 + 0*k**4 + 1/70*k**7. Factor l(c).
3*c**2*(c + 1)*(c + 2)
Let n(f) be the first derivative of f**3 + 9*f**2/2 + 6*f + 9. Suppose n(c) = 0. Calculate c.
-2, -1
Let z(l) = -2*l**2 + 2*l + 4. Let v(b) = 5*b**2 - 7*b - 12. Let a(g) = -6*v(g) - 17*z(g). Suppose a(s) = 0. Calculate s.
-1
Let h = 127/270 - -4/135. Find w such that 1/4*w**2 + 0 - 3/4*w**4 + w**3 - h*w = 0.
-2/3, 0, 1
Let b(x) be the third derivative of -3/10*x**5 + 1/15*x**6 - 1/3*x**3 + 1/2*x**4 + 0*x + 0 + 3*x**2. Factor b(f).
2*(f - 1)**2*(4*f - 1)
Let h(u) = u**3 + u**2 + 11*u + 2. Let r be h(0). Find q such that 4/3*q**r - 2/3*q**3 - 2/3 + 1/3*q - 2/3*q**4 + 1/3*q**5 = 0.
-1, 1, 2
Let i(a) be the second derivative of -a**7/14 - 3*a**6/10 - 3*a**5/10 + a**4/2 + 3*a**3/2 + 3*a**2/2 + a. Factor i(f).
-3*(f - 1)*(f + 1)**4
Determine w so that -16/7*w - 10/7*w**5 + 8/7 + 2*w**4 - 22/7*w**2 + 26/7*w**3 = 0.
-1, 2/5, 1, 2
Factor 5*p**4 - 11*p**2 - p**4 + 3*p**2 - 4*p**3.
4*p**2*(p - 2)*(p + 1)
Let h(n) be the first derivative of -2 + 1/6*n**6 - 1/5*n**5 + 0*n**2 - 1/4*n**4 + 0*n + 1/3*n**3. Factor h(i).
i**2*(i - 1)**2*(i + 1)
Let p(j) be the third derivative of -j**6/160 - j**5/80 + j**4/32 + j**3/8 - j**2. Let p(u) = 0. Calculate u.
-1, 1
Let y(b) be the first derivative of 7*b**6/8 + 3*b**5/10 - 21*b**4/16 - b**3/2 - 7. Let y(z) = 0. What is z?
-1, -2/7, 0, 1
Let y(k) = k**2 + 3*k - 7. Let d be y(-5). Let c be 1*((d - 3) + 3). Factor 3*o - c*o - o**2.
-o**2
Suppose 2*t = 1 + 3. Let a = t - -1. Determine f, given that -a*f**4 - 2*f**5 + f**5 + 0*f**5 - 3*f**3 - f**2 = 0.
-1, 0
Let d(q) = q**3 - 7*q**2 + 8*q - 9. Let n be d(6). Factor 0 + 1/3*g + g**n - 4/3*g**2.
g*(g - 1)*(3*g - 1)/3
Factor 2*y**3 - 8/5*y**2 - 4/5*y**4 + 0 + 2/5*y.
-2*y*(y - 1)**2*(2*y - 1)/5
Let v(b) = b**2 - 5*b + 6. Suppose -2*x - k = -5, -6*x - 5*k + 1 = -2*x. Let r be v(x). Determine d so that d**4 + 5*d**3 + 9*d + 0*d - 2*d + r + 9*d**2 = 0.
-2, -1
Factor 0 - 1/4*p**2 - 1/2*p.
-p*(p + 2)/4
Let l(c) be the third derivative of -c**8/6720 + c**6/720 + c**4/8 + 5*c**2. Let g(h) be the second derivative of l(h). Factor g(a).
-a*(a - 1)*(a + 1)
Let o = 121/4 - 30. Let c(f) be the second derivative of -1/10*f**5 - o*f**2 - 3/8*f**4 + 0 - 1/2*f**3 + f. Find l such that c(l) = 0.
-1, -1/4
Let d(b) be the third derivative of -b**7/4200 - b**6/1200 + b**5/100 - b**4/3 + 10*b**2. Let p(h) be the second derivative of d(h). Factor p(l).
-3*(l - 1)*(l + 2)/5
Factor -1/4*q + 0 + 1/2*q**2 - 1/4*q**3.
-q*(q - 1)**2/4
Let s(l) be the third derivative of l**2 + 0*l**4 + 0*l**3 + 0*l + 0 + 1/60*l**5 - 1/120*l**6. Factor s(t).
-t**2*(t - 1)
Let v(o) = -o**2 + o + 1. Let r = -1 - -5. Let j(m) = -8 + r*m**2 - 2*m + 0 + 0*m**2. Let b(w) = -j(w) - 6*v(w). Suppose b(d) = 0. Calculate d.
1
Find f such that 3*f**2 + 6 - 45*f - 65*f - 21 + 98*f = 0.
-1, 5
Let o(n) be the second derivative of -n**10/105840 + n**9/52920 + n**8/11760 + n**4/3 - 4*n. Let v(p) be the third derivative of o(p). Factor v(g).
-2*g**3*(g - 2)*(g + 1)/7
Let k = -15 + 15. Let i(n) be the second derivative of 0*n**2 - 1/126*n**7 + 1/60*n**5 - n + 0*n**4 + k + 0*n**3 + 0*n**6. Find g such that i(g) = 0.
-1, 0, 1
Let w be (-22)/66 + 10/12. Let x(k) be the second derivative of w*k**2 - 7/60*k**6 - 1/12*k**3 + 0 - 5/8*k**4 - k - 19/40*k**5. Factor x(s).
-(s + 1)**3*(7*s - 2)/2
Let x(p) be the first derivative of 6/17*p**4 + 6 + 2/17*p**5 + 0*p + 2/17*p**2 + 6/17*p**3. Factor x(i).
2*i*(i + 1)**2*(5*i + 2)/17
Let y(k) be the second derivative 