
Let u = 47 - 45. Solve 3*s**4 + 27*s**3 + 72 + 8*s + 56*s + 23*s**2 + 68*s + 67*s**u = 0.
-3, -2
Let q(c) = -22*c + 6. Let g be q(-5). Let v be 3/6 - ((-255)/6 + 4). Determine m, given that -11*m - v*m - 5*m**2 - 9 - g = 0.
-5
Let x(i) be the first derivative of 243*i**5/5 - 81*i**4 + 30*i**3 - 14*i**2/3 + i/3 - 986. Solve x(t) = 0.
1/9, 1
Factor 28/3*h + 0 + 2/3*h**2.
2*h*(h + 14)/3
Let n(i) = i**3 - 6*i**2 - 2*i - 6. Let z be n(6). Let f = -10 - z. What is b in f*b - 3*b + 4 + 0 + 5*b + 2*b**3 + 8*b**2 = 0?
-2, -1
Let j(i) = i**3 - 7*i**2 - i + 12. Let y be j(7). Suppose 2*g - 3 = g - f, -5 = -y*f. What is k in 0 - k + 1/2*k**g = 0?
0, 2
Let x(r) be the first derivative of r**5/10 - r**4/5 + r**3/15 - 7*r - 6. Let w(b) be the first derivative of x(b). Solve w(z) = 0.
0, 1/5, 1
Let w(a) be the second derivative of -9/20*a**5 - 3*a + 4*a**4 + 1/2*a**7 - 8/5*a**6 + 0 + 0*a**2 - 2*a**3. Solve w(n) = 0.
-1, 0, 2/7, 1, 2
Suppose -4*y - 6 = -h, 0*h - 10 = -3*h + 4*y. Let d be 22/(-2) + (-22015)/(-1813). Determine j so that 34/7*j**h + d + 32/7*j + 10/7*j**3 = 0.
-2, -1, -2/5
Let 3*z + 12*z - 15*z**2 + 5*z + 18*z**2 + 12 = 0. Calculate z.
-6, -2/3
Suppose 3*z = 2*c + 56, -3*z - 2*c - c + 66 = 0. Suppose 22 - z = q. Factor 2*x + 16*x - 2*x**2 - q*x + 32 + 4*x**2.
2*(x + 4)**2
Let s(m) = -12*m - 10. Let t(v) be the second derivative of v**4/12 - 25*v**3/6 - 19*v**2/2 - 7*v. Let u(k) = -10*s(k) + 4*t(k). Factor u(g).
4*(g + 2)*(g + 3)
Let n(i) be the second derivative of -i**7/126 + i**6/45 + 13*i**5/60 + 5*i**4/18 - 72*i. What is b in n(b) = 0?
-2, -1, 0, 5
Let d be (-1 - 42/(-36)) + (-3)/54. Let r(w) be the first derivative of -7 - 1/3*w**2 - d*w**3 - 1/3*w. Factor r(h).
-(h + 1)**2/3
Let r(o) = -25*o**5 + 98*o**4 - 108*o**3 + 49*o**2 - 8*o. Let i(p) = -76*p**5 + 292*p**4 - 324*p**3 + 148*p**2 - 24*p. Let c(g) = 3*i(g) - 8*r(g). Factor c(u).
-4*u*(u - 1)**3*(7*u - 2)
Let p(j) be the third derivative of -j**6/10 + 2*j**5/15 + 17*j**4/2 + 140*j**3/3 - 221*j**2 + 1. Factor p(u).
-4*(u - 5)*(u + 2)*(3*u + 7)
Solve 6*z**5 - 1000*z + 1000*z + 6*z**4 - 12*z**2 + 10*z**4 - 10*z**3 = 0.
-3, -2/3, 0, 1
Let y be (-38)/30 + (-5984)/(-3740). Find v such that -y*v**2 + 0*v + 1/3 = 0.
-1, 1
Let z be (-6)/(0 - 2)*-1. Let m be 1 + -4 + z + (-19)/(-3). Factor -1/3*t + m*t**3 + 0 + 0*t**2.
t*(t - 1)*(t + 1)/3
Let z(w) be the second derivative of -w**6/135 + w**5/18 + w**4/54 - 5*w**3/27 - w. Solve z(r) = 0 for r.
-1, 0, 1, 5
Suppose 4*a - 3*d = 32, d + 6 + 8 = 2*a. Suppose -a*q = 2*q. Find l such that q*l**2 + 7*l + l**2 - 2*l**2 - 9*l = 0.
-2, 0
Let d(l) be the third derivative of -l**7/6300 - l**6/900 - 5*l**4/24 - 22*l**2. Let a(p) be the second derivative of d(p). Find w, given that a(w) = 0.
-2, 0
Let p(x) = -20*x**4 + 31*x**3 + 9*x**2 - 25*x + 11. Let c(u) = -180*u**4 + 280*u**3 + 80*u**2 - 224*u + 100. Let l(w) = 3*c(w) - 28*p(w). Factor l(q).
4*(q - 1)**2*(q + 1)*(5*q - 2)
Let g = -685120/7 + 98348. Let q = -472 + g. Factor -q*t**2 + 0 - 12/7*t - 3/7*t**3.
-3*t*(t + 2)**2/7
Let y(j) be the second derivative of j**9/10584 + j**8/1470 + j**7/588 + j**6/630 + 5*j**3/3 + 17*j. Let r(w) be the second derivative of y(w). Factor r(b).
2*b**2*(b + 1)**2*(b + 2)/7
Let p(w) be the first derivative of 1/10*w**4 - 1/100*w**5 + 7 - 2/5*w**3 + 6*w + 4/5*w**2. Let o(x) be the first derivative of p(x). Let o(g) = 0. Calculate g.
2
Let z be -4 + 2 - (-10)/2. Let h be 3*-2*z/(-9). Factor 20*p - 13*p**3 + 13*p**2 - 20 - 5*p**4 + 7*p**h - 5*p**2 + 3*p**3.
-5*(p - 1)**2*(p + 2)**2
Let y(l) be the third derivative of 0 + 1/16*l**4 + 0*l + 6*l**2 + 1/24*l**3 + 7/120*l**5 + 3/280*l**7 + 1/30*l**6 + 1/672*l**8. Factor y(b).
(b + 1)**4*(2*b + 1)/4
Factor -196*t**3 + 62*t**4 + 90*t**3 - 855*t**3 - t**5.
-t**3*(t - 31)**2
Let u be (-28)/20 + (-63)/(-45). Let r(f) be the third derivative of 0 - 1/15*f**5 + 0*f + 1/2*f**4 + 2*f**2 + u*f**3. What is d in r(d) = 0?
0, 3
Let n be (-110)/(-165)*(0 + 1)*-3. Let y be (2/3)/n - 19/(-21). Find f, given that y*f**2 - 2/7*f + 2/7*f**3 - 4/7 = 0.
-2, -1, 1
Let b(i) = -i**3 - 5*i**2 + 3*i - 13. Let q be b(-6). Let 2*l**5 + 2 + q*l**2 - 7*l + l**4 + 66*l**3 - 8*l**4 - 61*l**3 = 0. What is l?
-1, 1/2, 1, 2
Let s(u) be the second derivative of -u**6/30 + 34*u**5/5 - 793*u**4/2 + 4556*u**3/3 - 4489*u**2/2 + 400*u. Suppose s(n) = 0. What is n?
1, 67
Let t be (-1 + -5)/(1*21/(-14)). Let -17*k**t - 9*k**4 - 25*k**3 - 4*k**4 - 5*k**5 = 0. Calculate k.
-5, -1, 0
Let f(h) be the third derivative of -h**5/15 - 139*h**4/3 - 38642*h**3/3 + 122*h**2 + 1. What is z in f(z) = 0?
-139
Let r(c) = 4*c - 1. Let i be r(1). Let w(o) = o**3 - 23*o**2 + 42*o + 2. Let z be w(21). Solve -3*t**3 + z*t**i - 17*t + 18*t = 0.
-1, 0, 1
Let n(s) be the second derivative of s**4/15 - 10*s**3/3 + 92*s**2/5 + 12*s - 3. Factor n(k).
4*(k - 23)*(k - 2)/5
Let y(j) be the first derivative of -j**5/6 + 13*j**4/24 - j**3/2 - j**2/12 + j/3 - 133. Factor y(k).
-(k - 1)**3*(5*k + 2)/6
Let n(b) be the second derivative of 1/80*b**5 + 1/24*b**3 + 1/24*b**4 + 25*b + 0*b**2 + 0. Factor n(h).
h*(h + 1)**2/4
Let w = -15 + 16. Suppose -w = -d - 0. What is r in -d + 8*r**3 + 3*r - 3*r**3 - 3*r**2 - 4*r**3 = 0?
1
Let 2/17*t - 6/17 + 12/17*t**2 - 4/17*t**3 - 6/17*t**4 + 2/17*t**5 = 0. What is t?
-1, 1, 3
Let t = -8 + 12. Let k be 2*(t + 8/(-4)). Solve -2*a**3 - 6*a**3 + 24*a**4 - k*a**4 + 8*a - 20*a**2 = 0.
-1, 0, 2/5, 1
Let t(q) = 5*q**2 - 32*q - 18. Let y(k) = k**2 - 6. Let r(h) = -2*t(h) + 6*y(h). Suppose r(s) = 0. What is s?
0, 16
Let a(z) = -20*z**2 + 40*z - 48. Let d be 129/(-27) + 2/(-9). Let u(r) = -13*r**2 + 27*r - 32. Let n(v) = d*a(v) + 8*u(v). Let n(m) = 0. What is m?
2
Suppose 33*v = 35*v + 5*y + 2, 0 = -2*v - 2*y + 4. Determine u, given that 0*u - 3/2*u**v - 3/4*u**3 - 3/4*u**5 + 0 + 0*u**2 = 0.
-1, 0
Let n(l) be the third derivative of 0*l + 0 + 0*l**4 - 15*l**2 + 1/12*l**5 + 0*l**3 + 1/24*l**6. Factor n(q).
5*q**2*(q + 1)
Suppose -4*i + 4 + 12 = 0, -4*i + 6 = 5*w. Let k be (-74)/(-105) + w*(-1)/(-15). Find z such that -4/7 + k*z**2 + 2/7*z - 2/7*z**3 = 0.
-1, 1, 2
Let b be ((-200)/(-35))/(12/(-63)*(-36)/8). What is s in b - 2/3*s**2 - 6*s = 0?
-10, 1
Let p(l) = -l**4 + l**3 + l**2 + l. Let c(a) = -4*a**4 + 2*a**2 + 6*a + 2. Suppose -3*m = -4 - 5. Let k(s) = m*p(s) - c(s). Solve k(y) = 0 for y.
-2, -1, 1
Let -33*a**2 + 36/7 - 45/7*a**3 + 240/7*a = 0. What is a?
-6, -2/15, 1
Let o(u) = -4*u**3 - 6*u**2 + 8*u + 2. Let v = -10 - -13. Let q(t) = -2*t - 2*t + v*t + t**2. Let y(d) = -o(d) - 4*q(d). Find b such that y(b) = 0.
-1, -1/2, 1
Let j(h) = -h**2 + 1. Let a(b) = -2*b**3 - 6*b**2 + 2*b + 6. Suppose -3*z = 4*q - 18, 6*q = 7*q. Let o(t) = z*j(t) - a(t). Factor o(g).
2*g*(g - 1)*(g + 1)
Let w(x) be the third derivative of -x**6/240 + 77*x**5/120 - 481*x**4/16 - 507*x**3/4 - 193*x**2. Solve w(r) = 0 for r.
-1, 39
Factor 37*k - 317*k + 4*k**2 - 80*k + 1093 + 7007.
4*(k - 45)**2
What is f in 2/13*f**2 + 24/13*f - 2 = 0?
-13, 1
Let t(b) be the third derivative of b**7/168 + b**6/12 + 3*b**5/8 + 5*b**4/6 - 5*b**3/2 + b**2. Let s(o) be the first derivative of t(o). Factor s(k).
5*(k + 1)**2*(k + 4)
Let k = -1/29 + 181/203. Let d(c) = -2*c**3 - 92*c**2 + 94*c + 2. Let f be d(-47). Find i, given that -k*i + 2/7*i**f + 0 = 0.
0, 3
Factor 8/5 - 2/5*i**2 - 14/3*i.
-2*(i + 12)*(3*i - 1)/15
Let s = -11 + 13. Suppose s*z + 11 = -3*h, -2*z = -3*h - 24 + 5. Solve 2/3*t**z + 0*t + 0 + 2/3*t**3 = 0 for t.
-1, 0
Let o(q) be the third derivative of -1/15*q**3 + 0*q**5 + 0 - 34*q**2 + 1/525*q**7 - 1/30*q**4 + 0*q + 1/150*q**6. Factor o(f).
2*(f - 1)*(f + 1)**3/5
Suppose 3*w - 15 = -11 + 2. Determine j so that -8/7 - 8/7*j - 2/7*j**w = 0.
-2
Let p(w) be the third derivative of 0 + 1/105*w**7 + 0*w - 7/120*w**6 + 0*w**3 + 0*w**4 - 1/30*w**5 + 1/48*w**8 - 11*w**2. Solve p(b) = 0.
-1, -2/7, 0, 1
Let c = 46 - 42. Let t(h) be the second derivative of 0 + 1/42*h**7 - c*h - 1/30*h**6 + 1/6*h**4 + 1/6*h**3 - 1/2*h**2 - 1/10*h**5. Factor t(f).
(f - 1)**3*(f + 1)**2
Let h = 679/908 - -1/454. Let y(l) be the first derivative of -8 + h*l**3 + 0*l**2 + 15/16*l**4 + 7/20*l**5 + 0*l + 1/24*l**6. Determine c, given that y(c) = 0.
-3, -1, 0
Let p = 214/23 + -2331/253. Suppose -9/11*y**2 - 27/11 + 27/11*y + p*y**3 = 0. What is