/150 - 7*t**5/75 - 11*t**4/30 - 2*t**3/3 + 235*t**2. Factor p(l).
-4*(l + 1)**2*(l + 5)/5
Let l = -642 + 26320/41. Let i = 68/287 - l. Factor 0 - 2/7*r**4 - 2/7*r**3 + i*r**2 + 2/7*r.
-2*r*(r - 1)*(r + 1)**2/7
Suppose w - 122 = 5*r, -3*r + 2*w - 80 = -2*w. Let x be ((-4)/r)/((-5)/(-100)). Find o, given that 10/3*o**2 + 0 + 8/3*o**5 - 2*o**3 - 2/3*o - x*o**4 = 0.
-1, 0, 1/4, 1
Let x(d) be the second derivative of 1/18*d**4 - 5*d + 1/3*d**2 + 0 + 2/9*d**3. Solve x(j) = 0 for j.
-1
Let m(l) = -l**3 + 7*l**2 + 20*l + 6. Let h(d) = 4*d**3 - 35*d**2 - 101*d - 29. Let c(a) = -4*h(a) - 22*m(a). Factor c(p).
2*(p - 4)*(p + 1)*(3*p + 2)
Factor 4/5*o**2 + 4*o**3 - 4*o - 4/5*o**4 + 0.
-4*o*(o - 5)*(o - 1)*(o + 1)/5
Suppose 9*z + 6 = 12*z. Let y(m) be the second derivative of 3/2*m**z + 0 + m - 1/2*m**3 - 1/4*m**4 + 3/20*m**5. Factor y(b).
3*(b - 1)**2*(b + 1)
Let l(y) be the first derivative of -y**5/20 + y**4/16 + y**3/2 - 25. Factor l(u).
-u**2*(u - 3)*(u + 2)/4
Suppose 65/3*n**2 + 16/3 + 56/3*n + 25/3*n**3 = 0. Calculate n.
-1, -4/5
Let z be 1 + -5 + 7 + (-121)/(-2). Let j = z + -63. Suppose -j - 2*l**3 - l + 7/2*l**2 = 0. Calculate l.
-1/4, 1
Let g be 8/92 + 376/(-92) + 7. Suppose 3/4*f**g - 15/4*f**4 - 3/2*f**5 - 3/2 + 3/4*f + 21/4*f**2 = 0. Calculate f.
-2, -1, 1/2, 1
Let d(c) be the first derivative of -9*c**6/2 + 33*c**5/5 - 3*c**4/2 + 8. Factor d(q).
-3*q**3*(q - 1)*(9*q - 2)
Let z(u) be the second derivative of 2*u**6/15 + 24*u**5/5 - u**4/3 - 16*u**3 - 103*u + 2. Suppose z(s) = 0. What is s?
-24, -1, 0, 1
Factor 4/5*v + 1/5*v**3 + v**2 + 0.
v*(v + 1)*(v + 4)/5
Let j be (-1 - 9/(-10))*(-868)/620. Let u(n) be the second derivative of 0*n**2 - 1/50*n**6 - j*n**5 + 0 - 4/15*n**3 - 1/3*n**4 - 5*n. Solve u(b) = 0.
-2, -2/3, 0
Find m such that 36 + 15*m**2 + 42*m + 3/2*m**3 = 0.
-6, -2
Let m(o) be the second derivative of -o**6/420 - o**5/42 - o**4/12 - o**3/7 + 5*o**2 + 2*o + 6. Let b(a) be the first derivative of m(a). Factor b(d).
-2*(d + 1)**2*(d + 3)/7
Let g(x) be the first derivative of -3/2*x**4 + 3/2*x**2 + 5/3*x**3 - 8/5*x**5 + 26 + 0*x. What is p in g(p) = 0?
-1, -1/2, 0, 3/4
What is u in -17 + 23*u - 494*u**2 + 5*u + 489*u**2 - 6 = 0?
1, 23/5
Let y(s) be the third derivative of s**6/60 - s**5/3 - 13*s**4/3 - 56*s**3/3 - 189*s**2. Find w, given that y(w) = 0.
-2, 14
Factor -65*b + 86*b**2 + 48*b**2 - 133*b**2.
b*(b - 65)
Let z(a) = 208*a - 209*a - 3*a**2 + 2*a**2 - a**3. Let q(x) = 7*x**3 + x**2 + 4*x. Let k(y) = -q(y) - 4*z(y). Determine f so that k(f) = 0.
0, 1
Let n(y) be the third derivative of -4/21*y**7 + 0*y**3 + 0*y + 1/6*y**6 + 0*y**5 + 0*y**4 - 25/336*y**8 - 35*y**2 + 0. Factor n(i).
-5*i**3*(i + 2)*(5*i - 2)
Factor 3*o**3 - 28*o + 2/3*o**2 + 1/3*o**4 + 24.
(o - 2)*(o - 1)*(o + 6)**2/3
Let s be (13/(364/(-48)))/(4/(-14)). Suppose v = -s*v. Factor 32/5*n**4 + v*n + 4/5*n**2 + 0 - 22/5*n**3 - 14/5*n**5.
-2*n**2*(n - 1)**2*(7*n - 2)/5
Factor -50 + 3*i**2 + 3*i**3 - 85/3*i + 1/3*i**4.
(i - 3)*(i + 2)*(i + 5)**2/3
Let a(x) = 17*x**3 - 3*x**2 + 24*x - 7. Let z(y) = -7*y**3 + y**2 - 12*y + 3. Let r(m) = 3*a(m) + 7*z(m). Factor r(b).
2*b*(b - 3)*(b + 2)
Let i(m) be the second derivative of -m**6/480 + 13*m**5/80 - 169*m**4/32 + 3*m**3/2 - 28*m. Let x(t) be the second derivative of i(t). What is v in x(v) = 0?
13
Suppose -z + 104 = 3*z. Suppose 5*q = -z + 86. Determine n so that -8 + q + n**4 + 2*n - 2*n**3 - 5 = 0.
-1, 1
Let l(f) be the first derivative of -f**6/600 - f**5/100 - f**4/40 - 3*f**3 + 12. Let d(y) be the third derivative of l(y). Solve d(c) = 0.
-1
Let z(d) = d**2 - d. Suppose -13 = f - 17. Let b(o) = -o**4 + o**3 + o**2 - o. Let a(h) = f*z(h) - 4*b(h). Factor a(n).
4*n**3*(n - 1)
Let r(d) be the second derivative of d**5/240 - 17*d**4/72 + 40*d**3/9 - 64*d**2/3 - d + 18. Suppose r(z) = 0. What is z?
2, 16
Let w be -5 - (1 + 0 + -5). Let h be (-4 - w)/((-3)/4). Suppose 4*c + 294*c**2 + c**3 - 288*c**2 - 2*c**h - c**3 = 0. Calculate c.
-1, 0, 2
Let r(f) be the first derivative of 2*f**3/15 + 36*f**2/5 - 148. Determine d, given that r(d) = 0.
-36, 0
Let w(q) be the third derivative of 4*q**2 + 0*q**3 + 0*q**4 + 0 + 0*q - 1/30*q**6 + 1/15*q**5. Determine n, given that w(n) = 0.
0, 1
Let m(x) = 9*x**2 - 20*x - 24. Let w(b) = -10*b**2 + 20*b + 24. Let u(o) = o**3 - 11*o**2 - o + 5. Let d be u(11). Let t(c) = d*m(c) - 5*w(c). Factor t(n).
-4*(n - 6)*(n + 1)
Suppose 0 = 4*h - 0*q - q + 53, -5*h - 2*q - 50 = 0. Let m be (-48)/64 + (-41)/h. Let 16/3*z + m + 2/3*z**3 + 10/3*z**2 = 0. What is z?
-2, -1
Let j(i) = -5*i**3 - 36*i**2 + 65. Let r(s) = 2*s**3 + 12*s**2 - 22. Let d(p) = 6*j(p) + 17*r(p). Factor d(v).
4*(v - 2)**2*(v + 1)
Suppose -2*d - 3*d = -4*o - 30, -d + 4*o + 22 = 0. Find z, given that 5*z**4 + 5 - 3*z**2 - 6*z**2 - 5*z - 10*z + 30*z**3 - 15*z**5 - z**d = 0.
-1, 1/3, 1
Let i = 417 - 7088/17. Let b(t) be the second derivative of -1/102*t**4 + 0 + 1/51*t**3 - 1/170*t**5 + 9*t + i*t**2. Factor b(m).
-2*(m - 1)*(m + 1)**2/17
Let r(g) be the second derivative of g**6/225 + g**5/150 - 2*g**4/45 - 4*g**3/45 - 10*g - 2. Find w, given that r(w) = 0.
-2, -1, 0, 2
Solve -50*m**2 - 55 - 79*m**2 + 3*m**3 + m**3 + 29*m**2 - 37 + 188*m = 0 for m.
1, 23
Let o(f) be the second derivative of 9*f**5/70 + 17*f**4/21 - 197*f**3/21 + 6*f**2 + f + 122. Factor o(u).
2*(u - 3)*(u + 7)*(9*u - 2)/7
Let p = -7/3 + 73/21. Let a(h) be the first derivative of p*h + 2/7*h**4 - 2/7*h**3 + 5 - 2/35*h**5 - 4/7*h**2. Solve a(c) = 0 for c.
-1, 1, 2
Suppose -16*j - 39*j = -220. Solve -28/9*m - 20/9*m**3 - 4*m**2 - 8/9 - 4/9*m**j = 0 for m.
-2, -1
Let d(i) be the second derivative of -i**5/10 + 11*i**4/3 - 42*i + 2. Factor d(r).
-2*r**2*(r - 22)
Let m = 5 - -15. Let f = m - 16. Solve 2*n + 2*n - 5*n**2 - n + 12*n**5 - 15*n**3 + 9*n**f - 4*n**2 = 0.
-1, 0, 1/4, 1
Let c be 1 + 7*1 + (-29 - (-4321)/203). Determine b, given that 12/7*b**2 - 10/7 + 8/7*b - 8/7*b**3 - c*b**4 = 0.
-5, -1, 1
Factor -8*v**2 - 91 - v**3 - 119 + 65 - 3*v**3 + 116*v - 23.
-4*(v - 3)*(v - 2)*(v + 7)
Let t(w) = w**2 - 7*w + 12. Let k be t(4). Find p such that -2*p - 14*p**3 + k*p**3 + 18*p**3 + 0*p - 2*p**5 = 0.
-1, 0, 1
Factor 15*r**3 - 54*r + r**4 + 37*r**2 - 67*r**2 + 92*r + 21*r**3 - 45*r**2.
r*(r - 1)**2*(r + 38)
Let a(j) = -j**2 - j + 1. Let f be (-18 - 2)/((-2)/1). Let y(d) = 5*d**2 + 25*d + 10. Let v(b) = f*a(b) + y(b). Find r, given that v(r) = 0.
-1, 4
Let q(f) be the third derivative of -f**6/600 - f**5/50 - f**4/15 - 326*f**2. Factor q(h).
-h*(h + 2)*(h + 4)/5
Let d = 2464 + -2464. Factor -2/3*g + d - 4*g**2 - 6*g**3.
-2*g*(3*g + 1)**2/3
Factor 250 - 1/8*b**3 - 75*b + 45/8*b**2.
-(b - 20)**2*(b - 5)/8
Let r be 60/(-21)*(-7)/(-2). Let y be r/6*16/(-120). Factor -y*n**2 + 2/9*n - 2/9*n**3 + 2/9.
-2*(n - 1)*(n + 1)**2/9
Let b = 660/7 - 94. Let z = -40 + 284/7. Find j, given that z + b*j**2 + 6/7*j = 0.
-2, -1
Suppose -8/3*p**2 + 0 - 2/9*p**3 - 8*p = 0. Calculate p.
-6, 0
Factor 0 + 21/2*k + 21*k**3 + 1/2*k**5 - 26*k**2 - 6*k**4.
k*(k - 7)*(k - 3)*(k - 1)**2/2
Let m(c) be the third derivative of -6*c + c**2 + 0 + 7/30*c**4 - 49/15*c**3 - 1/150*c**5. Factor m(k).
-2*(k - 7)**2/5
Suppose 5*z + 2*k - 10 = 0, 20 = 103*k - 99*k. Let 2/5*v**2 + z - 2/5*v = 0. Calculate v.
0, 1
Let k(x) be the first derivative of 6*x**5/5 - 27*x**4/4 + 7*x**3 + 9*x**2 - 690. Suppose k(f) = 0. Calculate f.
-1/2, 0, 2, 3
Let y(s) be the second derivative of s**7/399 + s**6/285 - s**5/38 - 5*s**4/114 + 4*s**3/57 + 4*s**2/19 - 33*s + 1. Solve y(l) = 0 for l.
-2, -1, 1, 2
Let k(l) be the first derivative of -10/3*l**3 - 15 - l**4 - 1/10*l**5 - 4*l**2 + 0*l. What is v in k(v) = 0?
-4, -2, 0
Let y = 3337/40 + -373/8. Let h = y - 36. Find g, given that h*g**2 + 2/5*g**3 + 2/5*g + 0 = 0.
-1, 0
Factor 1264*u**4 + 77*u + 1108*u**2 - 139*u**4 + 1012*u**2 - 217*u - 8175*u**3.
5*u*(u - 7)*(15*u - 2)**2
Let -8/3*b + 0 + 8/3*b**3 - 1/3*b**4 + 1/3*b**2 = 0. What is b?
-1, 0, 1, 8
Let t = -68 + 70. Suppose 2*b**t + 9*b**2 - 10*b**2 = 0. What is b?
0
Let v(u) be the first derivative of -u**5/30 + 3*u**4/8 + 11*u**3/18 - 3*u**2/4 - 5*u/3 + 313. Determine b, given that v(b) = 0.
-1, 1, 10
Let v(q) = q - 2. Let w be v(4). Solve -g**w - 5 + 15*g**2 - 15*g**3 + 11*g**2 - 5*g = 0 for g.
-1/3, 1
Let a = 13 + -7. Suppose 19 = 3*