 + 0*f - 7*f**2. Factor j(x).
2*(x + 3)**3/3
Let g(b) be the first derivative of 5/3*b**3 - 15/4*b**4 + 3*b**5 + 0*b**2 - 7 - 5/6*b**6 + 0*b. Let g(j) = 0. Calculate j.
0, 1
Let h be -6 + 26/5 + 2. Determine l so that -18/5*l**2 + 0 + 18/5*l**4 + 6/5*l - h*l**3 = 0.
-1, 0, 1/3, 1
Suppose 3*t = t + 8. Suppose -2 + a**t + 58*a**3 - a + 4*a + a**2 - 61*a**3 = 0. Calculate a.
-1, 1, 2
Let o(d) be the third derivative of 13*d**2 - 1/5*d**4 + 0*d + 0 + 2/5*d**3 + 1/20*d**5 - 1/200*d**6. Solve o(i) = 0.
1, 2
Suppose -2*u + 4*q - 4 = 2*u, -q = 2*u - 7. Factor -s + 0*s - 25*s**u + 2*s**4 + 22*s**2 + s**3 + 1.
(s - 1)*(s + 1)**2*(2*s - 1)
Let l = -124 - -140. Suppose -2*w + 12 = 3*p, -w - 22*p = -18*p - l. Determine d, given that 5/2*d**4 - 4/3*d**3 + w*d + 3/2*d**5 - 2/3*d**2 + 0 = 0.
-2, -1/3, 0, 2/3
Let x(m) be the first derivative of m**4/6 - 22*m**3/9 + 32*m**2/3 - 56*m/3 - 79. Let x(w) = 0. Calculate w.
2, 7
Let o(a) be the first derivative of -3*a**8/560 - a**7/56 - 7*a**6/360 - a**5/120 + 19*a**3/3 + 25. Let x(i) be the third derivative of o(i). Factor x(r).
-r*(r + 1)*(3*r + 1)**2
Let b(p) = p**3 - 4*p**2 + p - 7. Let v be b(4). Let g = 8 + v. Factor 6*n**3 - 7*n**5 + n**g + 3*n**5 + 0*n**5 + 3*n**4.
-3*n**3*(n - 2)*(n + 1)
Let q(a) be the first derivative of a + 1. Let f(i) = 2*i - 6. Let g(o) = -f(o) - 12*q(o). Let l(s) = s**2 + 1. Let c(d) = -g(d) - 2*l(d). Factor c(p).
-2*(p - 2)*(p + 1)
Let a be 0 + 3 + (4 - 7 - -4). Suppose 20*n**3 - n**2 + n**3 + 7*n**2 - 6*n**a - 28*n**5 + 7*n**5 = 0. Calculate n.
-1, -2/7, 0, 1
Let s(h) = -h**3 + 2*h**2 + 4*h - 2. Let n be s(3). Let l be 0*((2 - -1)/(-3))/n. Factor l*g + 0 + 1/5*g**2.
g**2/5
Let m be (15/21 - 1)/((-525)/49). Let x(h) be the third derivative of -1/15*h**3 + 0*h - 1/120*h**6 + 0 + m*h**5 + 4*h**2 - 1/120*h**4. Factor x(z).
-(z - 1)**2*(5*z + 2)/5
Determine h so that -9/2*h**3 + 3/2*h**4 + 0*h + 9/2*h**2 + 0 - 1/6*h**5 = 0.
0, 3
Let y(p) be the first derivative of -6*p - 2 - 2/5*p**2 + 1/15*p**3 + 1/30*p**4. Let s(r) be the first derivative of y(r). Factor s(o).
2*(o - 1)*(o + 2)/5
Find b, given that -36*b**4 - 124*b**3 - 6 + 0 - 2 + 188*b**2 - 60*b + 40*b**5 = 0.
-2, -1/10, 1
Factor 2/7*j**5 + 24/7*j**2 + 0 + 8/7*j + 12/7*j**4 + 26/7*j**3.
2*j*(j + 1)**2*(j + 2)**2/7
Let h(s) = s**2 + 11*s + 14. Let r be -12 + (3/1 - 1). Let o be h(r). Factor o*m**3 + 9*m**2 - 15*m - 3*m**4 + 6 + 2*m**3 - 3*m**3.
-3*(m - 1)**3*(m + 2)
Let r be (-518)/(-2184) - (-2)/(-13). Let u(i) be the second derivative of -i - 1/6*i**3 + 0 + 0*i**2 - r*i**4. Factor u(z).
-z*(z + 1)
Suppose -5*b - 3*h = 15, -3*b - b = 3*h + 15. Let l = -2997 + 3001. Factor -t**3 + b*t - 1/2*t**l - 1/2*t**2 + 0.
-t**2*(t + 1)**2/2
Factor s + 3 - 5/3*s**2 + 1/3*s**3.
(s - 3)**2*(s + 1)/3
Let x(m) be the third derivative of m**7/840 + m**6/48 + 23*m**5/240 + 7*m**4/48 + 34*m**2 + 2. Factor x(j).
j*(j + 1)*(j + 2)*(j + 7)/4
Let l be 40/25 + (-3)/(15/(-2)). Let p(b) be the first derivative of -2/27*b**3 + 4/9*b - 1/9*b**l - 2. Find i, given that p(i) = 0.
-2, 1
What is y in 3/7*y**5 + 3*y**3 + 3/7*y**2 - 15/7*y**4 + 12/7 - 24/7*y = 0?
-1, 1, 2
Determine p, given that -69*p**2 - 676 + 59*p + 68*p**2 - 7*p = 0.
26
Let b = 31 - 27. Find v such that -b - 4*v - 2*v**2 + 3*v**2 + 6 + 1 = 0.
1, 3
Determine f so that -3*f**4 - 10 - 21*f + 50*f - 16*f - 28*f + 15*f**3 + 5*f**2 + 8*f**4 = 0.
-2, -1, 1
Let h(j) = 12*j**3 + 482*j**2 + 6098*j + 26350. Let a(t) = 4*t**3 + 161*t**2 + 2033*t + 8783. Let y(x) = -14*a(x) + 5*h(x). What is v in y(v) = 0?
-13
Factor 0*v + 2/7*v**2 - 8/7.
2*(v - 2)*(v + 2)/7
Let q(m) be the first derivative of -5/4*m**4 + 10/3*m**3 + 0*m + 0*m**2 + 4. Factor q(r).
-5*r**2*(r - 2)
Let w = 1 - -1. What is o in 2*o**3 + 14*o**5 - 8*o**4 + 8*o**2 - 18*o**5 + w*o**3 = 0?
-2, -1, 0, 1
Let s(d) = -d**3 - 8*d**2 - 13*d - 40. Let i be s(-7). Let f(p) be the first derivative of 1/3*p**3 + 6 + 11/10*p**i + 2/5*p. Suppose f(b) = 0. What is b?
-2, -1/5
Let k(w) = -37*w**3 + 145*w**2 - 127*w - 93. Let g(q) = -25*q**3 + 97*q**2 - 85*q - 63. Let v(u) = -7*g(u) + 5*k(u). Factor v(x).
-2*(x - 3)*(x - 2)*(5*x + 2)
Let t(n) be the third derivative of n**5/30 - n**4 - 28*n**3/3 - 15*n**2. Determine w so that t(w) = 0.
-2, 14
Suppose -75 + 105 = 6*v. Let t(p) be the third derivative of 0*p**3 + 0*p + 2/105*p**v + 2*p**2 + 0 + 1/35*p**7 + 2/35*p**6 + 0*p**4 - 1/24*p**8. Factor t(k).
-2*k**2*(k - 1)*(7*k + 2)**2/7
Let f(h) = h**2 - 13*h + 38. Let v be f(4). Let y = 837 + -5843/7. What is l in 0 - 16/7*l - 4/7*l**3 - y*l**v = 0?
-2, 0
Determine p, given that -32 + 35 - 86 + 99*p + 3*p**2 - 19 = 0.
-34, 1
Let r = 4403/26346 - 2/4391. Factor -r*q**4 - 2/3*q - 2/3 + 1/3*q**3 + 1/2*q**2.
-(q - 2)**2*(q + 1)**2/6
Let f(c) be the third derivative of -c**7/42 - c**6/24 + c**5/6 - 37*c**2. What is o in f(o) = 0?
-2, 0, 1
Factor z**2 - 1/10*z**3 - 17/10*z + 4/5.
-(z - 8)*(z - 1)**2/10
Let m(a) be the second derivative of 3/5*a**5 + 0 - 4*a - 5/6*a**3 + 1/3*a**4 - a**2. Factor m(v).
(2*v + 1)**2*(3*v - 2)
Let y be (-20 + 944/48)/(2/(-4)). Factor y*t**2 - 1/3*t**3 + 4/3 + 7/3*t.
-(t - 4)*(t + 1)**2/3
Let t be 2760/3900 - 4/13. Let 0 + 0*i - t*i**3 - 6/5*i**2 = 0. Calculate i.
-3, 0
Let r be 1/6 + (15 - 1540/120). Solve 2 + 1/3*v**2 - r*v = 0.
1, 6
Let o = -2/8527 - -8533/25581. Determine n, given that -o*n**3 + 0 - 2/3*n**2 + 0*n = 0.
-2, 0
Let k(y) be the first derivative of y**6/660 - 7*y**5/330 + 5*y**4/44 - 3*y**3/11 - 21*y**2 - 2. Let l(z) be the second derivative of k(z). Factor l(j).
2*(j - 3)**2*(j - 1)/11
Let m(r) be the third derivative of r**5/150 - r**4/12 - 14*r**3/15 + r**2 - 9. Factor m(k).
2*(k - 7)*(k + 2)/5
Let o(l) = l**2 - 17*l - 16. Let f be o(18). Factor -5*c**4 + 3*c**4 + 5*c**4 - 3*c**f.
3*c**2*(c - 1)*(c + 1)
Let k(a) = 12*a**4 - 18*a**3 + 5*a**2 - 15*a - 17. Let z(i) = -i**4 + i**3 + 2*i + 1. Let c(m) = -2*k(m) - 22*z(m). Let c(b) = 0. Calculate b.
-1, 1, 6
Let r be 10 - (6 - 3)/1. Suppose 2*a + 2 = -4*s, -3*s + 2*a = -9 - r. Factor -6 + 4 + 1 - 3*w**3 + w**2 + w + s*w**3.
-(w - 1)**2*(w + 1)
Let r = 8900/9 - 8876/9. Factor -r*k + 2/3*k**3 + 2/3*k**2 - 8/3.
2*(k - 2)*(k + 1)*(k + 2)/3
Let x(f) = f**3 - 4*f**2 - 55*f - 64. Let t(k) = -2*k**3 + 7*k**2 + 113*k + 127. Let n(g) = -2*t(g) - 5*x(g). Factor n(l).
-(l - 11)*(l + 2)*(l + 3)
Factor s + 343*s**2 - s + 16*s**4 - 407*s**2 + 4*s**5 - 27*s**3 + 11*s**3.
4*s**2*(s - 2)*(s + 2)*(s + 4)
Let q(t) = -3*t**3 + 120*t**2 + 127*t - 162. Let m be q(41). Suppose -10/3*j - 1 - j**m = 0. What is j?
-3, -1/3
Let s(v) be the third derivative of v**8/784 - v**7/490 - 3*v**6/140 + v**5/35 + v**4/7 - 206*v**2. Let s(a) = 0. Calculate a.
-2, -1, 0, 2
Suppose 1 + 19 = 5*p. Suppose -8*h + 3*h + 5 = -o, 0 = 3*o - 5*h + 5. Solve 0 - p + 2*s**2 + 6*s + o - 4*s**2 = 0 for s.
1, 2
Suppose 19*o - 8 = 106. Let z(v) be the third derivative of -1/12*v**4 - 1/20*v**5 + 2/15*v**7 - v**2 + 0 + 0*v**3 + 0*v + 9/40*v**o. Solve z(n) = 0 for n.
-1, -1/4, 0, 2/7
Let t(j) be the second derivative of -j**7/105 - 2*j**6/25 - 11*j**5/50 - j**4/15 + 4*j**3/5 + 8*j**2/5 - 108*j. Suppose t(k) = 0. What is k?
-2, -1, 1
Let b be 13 + 2 + -4 + 4. Suppose -5*f + 5*h - 5 = 0, 4*h - b - 7 = -2*f. Factor -2/11*g**5 + 6/11*g**f + 0*g**4 + 4/11*g**2 + 0*g + 0.
-2*g**2*(g - 2)*(g + 1)**2/11
Let k(g) be the third derivative of -g**6/300 + 7*g**5/150 - g**4/10 - 38*g**2. Suppose k(w) = 0. What is w?
0, 1, 6
Let j(v) be the second derivative of -v**6/90 - 7*v**5/20 + 23*v**4/36 + 7*v**3/6 - 11*v**2/3 + 4*v - 23. Let j(k) = 0. Calculate k.
-22, -1, 1
Let n be (-33)/(-27) + 2/(-9). Let t be (-3)/(-7)*n/(15/10). Find w such that -6/7*w**4 + 0*w - t*w**2 + 0 + 2/7*w**5 + 6/7*w**3 = 0.
0, 1
Suppose 6*l - 4 - 20 = 0. Suppose -13 = -l*f - 5. Factor 6 - 1 - 1 + f + 3*n**2 - 9*n.
3*(n - 2)*(n - 1)
Let z be -4*201/(-252) + (-28)/(-196). Determine p, given that -2 - z*p - 2/3*p**2 + 2/3*p**3 = 0.
-1, 3
Suppose 0 = -2*f - 3*d - 2, -4*f - 13 = -f + 2*d. Let y be (-2)/7 - 23/f. Let 6*w**y - 5*w**4 + 4*w**4 + 2*w**4 - 6*w**5 - 4*w**4 + 3*w**2 = 0. Calculate w.
-1, -1/2, 0, 1
Find d, given that -d**4 + 0*d**2 + 0 - 1/3*d**5 + 10/3*d**3 + 0*d = 0.
-5, 0, 2
Let x = -30 + 34. Suppose -x*k + 7 = 5*l, -k = 2*k - 5*l - 49. Factor 2 + 0 + 3 + 2*z**2 + k*z + 3.
