*l + 80. Let c(v) = 4*v**2 - 31*v + 40. Let p(m) = 7*c(m) - 3*n(m). Factor p(u).
4*(u - 5)*(u - 2)
Let u(y) be the first derivative of -y**4/20 - 29*y**3/15 - 11*y**2/2 - 27*y/5 - 405. Factor u(k).
-(k + 1)**2*(k + 27)/5
Factor -32*c - 128/3*c**2 - 6.
-2*(8*c + 3)**2/3
Let b(j) be the first derivative of j**6/10 - 2*j**5/15 - j**4/2 + 4*j**3/3 - 13*j**2/2 + 10. Let t(l) be the second derivative of b(l). Factor t(u).
4*(u - 1)*(u + 1)*(3*u - 2)
Suppose -5*n + 32 = -4*p, 0*n - 3*n + 5*p = -27. Suppose -n*s - 3*v + 14 = 0, -2*v + v - 8 = -5*s. What is m in 0 - 4/3*m**s + 2/3*m + 2/3*m**3 = 0?
0, 1
Let d(u) = -u**2 - 6*u - 4. Let k be d(-4). Let b = k - -2. Find f, given that f + 5*f + 9*f**2 - 3*f**3 - b*f = 0.
0, 3
Suppose -5*p + 6 = -a + 2*a, -5*a + 10 = 5*p. Suppose 4*b - 7 = p. Find n, given that n**b - 3*n**2 + 3*n**2 - n**3 = 0.
0, 1
Suppose 0 = -6*v + v - 4*j + 80, -3*v + 5*j = -11. Solve -3*o**2 - 2*o - v - 6*o - 6*o + 2*o = 0.
-2
Suppose -55*g - 18 = -58*g. Let p(t) be the first derivative of -1/7*t**2 + 1/14*t**4 - 4/7*t + g + 4/21*t**3. Factor p(a).
2*(a - 1)*(a + 1)*(a + 2)/7
Let w(f) be the third derivative of 9*f**2 + 0*f**3 + 0*f**7 + 0*f**6 + 0*f + 0*f**4 + 0*f**5 + 1/1344*f**8 + 0. Factor w(q).
q**5/4
Factor -1/5*l**3 + 0 + 12/5*l**2 + 9*l.
-l*(l - 15)*(l + 3)/5
Factor 36/7*g**2 + 0*g + 0 + 1/7*g**3.
g**2*(g + 36)/7
Solve 21/2*m - 1/2*m**2 + 11 = 0 for m.
-1, 22
Let w(x) be the second derivative of x**8/840 - x**6/60 + x**5/30 - x**3/3 - 4*x. Let j(p) be the second derivative of w(p). Find a, given that j(a) = 0.
-2, 0, 1
Let z(f) be the first derivative of f**8/9240 - f**6/1980 - 4*f**3/3 + 3. Let o(m) be the third derivative of z(m). Factor o(k).
2*k**2*(k - 1)*(k + 1)/11
Let y(h) = 30*h - 207. Let x be y(7). Let b(k) be the second derivative of 6*k - 5/4*k**4 + 0 + 2*k**x - 6/5*k**2. Determine d so that b(d) = 0.
2/5
Let -76*i**3 + 33*i**4 - 53*i**4 + 5*i**5 + 80*i**2 - 60*i + 71*i**3 = 0. What is i?
-2, 0, 1, 2, 3
Let t(j) be the first derivative of 3/5*j**5 + 7 - j**3 + 0*j - 1/2*j**2 + 1/4*j**4. Factor t(o).
o*(o - 1)*(o + 1)*(3*o + 1)
Let x = -6 + 8. Let g be (-1)/(-1 + x/4). Solve d**4 + 3 + 5*d**4 - 5 + 8*d**3 - g*d - 6*d - 4*d**2 = 0.
-1, -1/3, 1
Let l(r) = 5*r**2 + 17*r + 24. Let c(k) be the first derivative of 3*k**3 + 33*k**2/2 + 48*k + 45. Let s(y) = 6*c(y) - 10*l(y). Factor s(a).
4*(a + 3)*(a + 4)
Let j(t) be the third derivative of 0*t + 1/60*t**5 + 0*t**4 + 1/240*t**6 + 0*t**3 + 0 - 8*t**2. Factor j(d).
d**2*(d + 2)/2
Let x be (1 + 1 - 4)/(-3). Let r(b) be the second derivative of 7/6*b**4 - x*b**3 + 3*b + 0 - b**2 - 2/5*b**5. Factor r(f).
-2*(f - 1)**2*(4*f + 1)
Let p(d) be the third derivative of -12*d**2 - 11/12*d**5 + 0*d + 0 - 1/6*d**6 + 5/3*d**3 - 25/24*d**4. Factor p(h).
-5*(h + 1)*(h + 2)*(4*h - 1)
Let w(c) be the second derivative of 0 + 0*c**4 - 2/85*c**5 + 0*c**3 + 1/255*c**6 - 29*c + 0*c**2. Factor w(q).
2*q**3*(q - 4)/17
Let z(a) be the first derivative of a**4/26 - 2*a**3/13 - 25*a**2/13 - 42*a/13 + 98. Factor z(h).
2*(h - 7)*(h + 1)*(h + 3)/13
Let d = -97 - -97. Find h such that d*h**3 + 11*h - 12*h**2 + h + 0*h + 3*h**3 = 0.
0, 2
Let o = -18341 - -128389/7. Solve 6/7 - 6/7*h**2 + o*h - 2/7*h**3 = 0 for h.
-3, -1, 1
Factor 4/9*b**3 + 0 + 0*b + 0*b**2 - 4/9*b**5 + 2/3*b**4.
-2*b**3*(b - 2)*(2*b + 1)/9
Let w(b) be the first derivative of -b**4/12 - b**3/3 - b**2/3 + 26. Solve w(k) = 0.
-2, -1, 0
Let n = 4 + 1. Let a = n - 3. Factor -4*h**2 - h**a + 5*h**2 + h**2.
h**2
Let f(q) = -q**2 + 50*q + 131. Suppose -22 + 10 = 2*d. Let x(k) = 5*k**2 - 200*k - 525. Let o(n) = d*x(n) - 25*f(n). Find m, given that o(m) = 0.
-5
Let g = 21783/5 + -21781/5. Factor 0*i + 0 - g*i**5 + 6/5*i**3 + 0*i**2 - 4/5*i**4.
-2*i**3*(i - 1)*(i + 3)/5
Let j(w) be the third derivative of -w**5/90 - 5*w**4/12 + 34*w**3/9 - 264*w**2. Determine b, given that j(b) = 0.
-17, 2
Let z(o) = 6*o**3 - 7*o**2 + 3*o + 2. Let l(m) = m**3 - m**2. Let r(n) = 28*l(n) - 4*z(n). Let r(y) = 0. Calculate y.
-1, 2
Let k(o) be the third derivative of -o**10/37800 + o**9/7560 - o**8/5040 + o**5/60 + 2*o**2. Let m(s) be the third derivative of k(s). Factor m(d).
-4*d**2*(d - 1)**2
Let p(s) be the second derivative of -s**5/80 + s**4/2 - 55*s**3/8 + 175*s**2/4 + 31*s + 3. Factor p(h).
-(h - 14)*(h - 5)**2/4
Let i(v) = -8*v**3 + 22*v**2 - 14*v + 3. Let w(l) = -15*l**3 + 45*l**2 - 30*l + 5. Let y(r) = -5*i(r) + 3*w(r). Determine d, given that y(d) = 0.
0, 1, 4
Let k(i) be the third derivative of -i**7/945 + i**6/90 - 7*i**5/270 - i**4/18 + 8*i**3/27 + 47*i**2. Let k(j) = 0. Calculate j.
-1, 1, 2, 4
Let k = 456 - 288. Let g be (1*2)/(k/12). Find i, given that -g*i**3 - 2/7*i + 3/7*i**2 + 0 = 0.
0, 1, 2
Suppose -6 = 2*g - 14, 3*z + 3*g = 21. Factor 8/3*r**z + 0 - 4/3*r**2 - 8/3*r + 4/3*r**4.
4*r*(r - 1)*(r + 1)*(r + 2)/3
Let y be 1 + ((-16)/(-64))/((-10)/(-96)). Determine l, given that 0 - 2/5*l + 12/5*l**4 + y*l**3 + 3/5*l**2 = 0.
-1, -2/3, 0, 1/4
Let h(t) = 692*t - 3450. Let r be h(5). Factor 2/5*n**4 + 16*n + 12/5*n**2 - 16/5*n**3 + r.
2*(n - 5)**2*(n + 1)**2/5
Let d(q) be the third derivative of 0*q**3 + 1/60*q**4 - 3*q**2 + 0 + 0*q - 1/300*q**5. Factor d(g).
-g*(g - 2)/5
Let j(d) be the first derivative of 0*d - 36*d**4 + 32 - 576*d**3 - 4/5*d**5 - 3456*d**2. Let j(f) = 0. Calculate f.
-12, 0
Let l = 95/87 + -22/29. What is u in l*u**3 + 2/3*u**2 + 0*u - u**4 + 0 = 0?
-2/3, 0, 1
Let c(a) = -a**3 - 4*a**2 - a - 1. Let s be c(-4). Let b be 228/48 - 1/(12/9). Factor 0 - 2/7*h**2 - 8/7*h**b + 0*h - 10/7*h**s.
-2*h**2*(h + 1)*(4*h + 1)/7
Let m(j) = -155*j - 2168. Let b be m(-14). Determine x, given that 3/7*x**b + 6/7*x + 0 = 0.
-2, 0
Let x be (6 + (-162)/21)/((-1)/7). Factor x*p**2 + 0*p - 4*p - 4 - 15*p**2 + 11*p**2.
4*(p - 1)*(2*p + 1)
Let v(c) be the third derivative of 0 + 3/140*c**5 - 13*c**2 + 0*c + 0*c**3 - 1/56*c**4 - 1/140*c**6. Suppose v(z) = 0. What is z?
0, 1/2, 1
Let c(n) be the third derivative of n**6/900 - n**5/225 - n**4/9 - 8*n**3/15 - 60*n**2. Let c(u) = 0. What is u?
-2, 6
Let y(u) be the second derivative of 14*u - 5/2*u**3 + 0 - 5/12*u**4 - 5*u**2. Determine j, given that y(j) = 0.
-2, -1
What is v in 1/9*v**5 + 2/9*v**4 + 0 - 8/9*v**2 - 4/9*v - 1/3*v**3 = 0?
-2, -1, 0, 2
Let z(s) be the first derivative of s**3 + 3*s**2/2 - 18*s - 39. Let z(n) = 0. What is n?
-3, 2
Determine c so that 12/5*c + 3 - 3/5*c**2 = 0.
-1, 5
Let t be 67/22 + (-9)/198. Solve 12/7*m**t + 6/7*m**2 - 9/7*m + 0*m**4 - 3/7*m**5 - 6/7 = 0.
-1, 1, 2
Let x(s) be the second derivative of -s**7/30 - s**6/10 - s**5/15 - 2*s**3 - 15*s. Let q(l) be the second derivative of x(l). Determine a, given that q(a) = 0.
-1, -2/7, 0
Let q(n) be the first derivative of 3*n**4 + 33*n**3 + 54*n**2 + 21*n + 110. Factor q(k).
3*(k + 1)*(k + 7)*(4*k + 1)
Suppose -65*b + 582 = -62*b. Let q = -578/3 + b. Factor 4/3*s**2 - q*s + 4/3*s**3 - 4/3*s**4 + 0.
-4*s*(s - 1)**2*(s + 1)/3
Let r(y) = -13*y - 73. Let c be r(-6). Let s(j) be the first derivative of -4*j - c + 10*j**4 + 2/3*j**6 + 10*j**2 - 4*j**5 - 40/3*j**3. Factor s(d).
4*(d - 1)**5
Let h(u) = u**3 - u**2 + 7*u - 4. Let z be h(1). Factor 0 + 9/2*x + 1/2*x**3 - z*x**2.
x*(x - 3)**2/2
Let o(n) be the second derivative of -n**7/16380 - n**6/1560 + 13*n**4/12 - 20*n. Let t(a) be the third derivative of o(a). Factor t(w).
-2*w*(w + 3)/13
Suppose 3*n = 5*t - 7, -3*t + t - 2*n = -6. Solve 0*i + 9*i + 234*i**4 - 81*i**5 - 129*i**3 - 36*i**t + 3*i = 0 for i.
-1/3, 0, 2/9, 1, 2
Let w(n) be the third derivative of n**5/10 + 5*n**4/12 + 51*n**2. Factor w(l).
2*l*(3*l + 5)
Factor -3 + 87/2*v**2 + 13*v**3 + 25/2*v.
(v + 3)*(2*v + 1)*(13*v - 2)/2
Let r = 33 + -30. Factor 2*l + l**4 - 2*l - 2*l**r.
l**3*(l - 2)
Factor 1/5*m**2 + 0 - 3/5*m**3 + 0*m - 1/5*m**5 + 3/5*m**4.
-m**2*(m - 1)**3/5
Let j = -2/19853 + 19118449/99265. Let p = -189 + j. Solve p + 2/5*w**2 - 12/5*w = 0 for w.
3
Let l = 27 + -24. Let m be (-5)/(-15)*(-18)/(-4). Factor -7/2*x - 1/2*x**l - m - 5/2*x**2.
-(x + 1)**2*(x + 3)/2
Let m be (8/(-24))/(-4 + 8/3). Factor 1/4*i**2 + m*i**3 - 1/4*i - 1/4.
(i - 1)*(i + 1)**2/4
Find d, given that 141*d - 8 - 62*d**2 + 59*d**2 + 8 = 0.
0, 47
Let 63/4*n**3 + 0 - 15*n**2 + 3/2*n**4 - 21/4*n**5 + 3*n = 0. Calculate n.
-2, 0, 2/7, 1
Suppose -3*x -