x).
3*x**2*(x - 2)*(x + 2)/2
Let b(h) = h**3 - 21*h**2 - h + 25. Let n be b(21). Factor 21*y**2 - 2 - 4*y**3 - 10*y**2 + y**5 + 8*y**5 + 7*y**2 - 5*y - 16*y**n.
(y - 1)**3*(y + 1)*(9*y + 2)
Let w be (0/(2 - 1))/(14/(-7)). Find b such that 4/7*b**2 + w*b + 2/7*b**3 + 0 = 0.
-2, 0
Suppose -219*y**3 - 170*y - 146*y**4 - 16*y**5 + 138*y - 196*y**2 - 18*y**4 - 93*y**3 = 0. Calculate y.
-8, -1, -1/4, 0
Factor -15*m + 5*m**2 + 22*m - 12*m.
5*m*(m - 1)
Let w(z) = -127*z + 1780. Let i be w(14). Factor 0*m + 0*m**i - 4/11*m**3 + 0 + 2/11*m**4.
2*m**3*(m - 2)/11
Factor -5*w**3 + 75*w + 0*w**2 + 24 + 156 - 10*w**2.
-5*(w - 4)*(w + 3)**2
Suppose 19*o + 240 = 17*o. Let r = 368/3 + o. What is a in -2/3*a**2 - 8/3*a**3 + r*a + 2/3 = 0?
-1, -1/4, 1
Let o(p) = -22*p + 354. Let k be o(16). Solve 0*a + 0 + 1/6*a**3 + 1/6*a**4 - 1/3*a**k = 0.
-2, 0, 1
Let a(s) be the third derivative of s**8/336 - 89*s**7/210 + 211*s**6/12 - 2903*s**5/30 + 5633*s**4/24 - 1849*s**3/6 + 161*s**2. Let a(o) = 0. Calculate o.
1, 43
Let w(v) be the third derivative of -3*v**5/80 + v**4/16 + 58*v**2. Solve w(j) = 0.
0, 2/3
Let x(j) be the third derivative of 22*j**2 + 5/12*j**4 + 0*j + 1/60*j**5 + 25/6*j**3 + 0. Factor x(i).
(i + 5)**2
Let c(u) be the first derivative of -5*u**4/4 + 5*u**3/3 + 25*u**2/2 + 15*u - 402. What is b in c(b) = 0?
-1, 3
Factor 360*s**4 + 5*s**2 - 5*s**5 - 22*s**3 - 345*s**4 + 7*s**3.
-5*s**2*(s - 1)**3
Suppose -5*l**5 + 7*l**5 + 140*l**2 - 22*l**4 - 536*l**2 - 25*l**3 + 324*l + 182*l**3 - l**5 = 0. What is l?
0, 2, 9
Let i(b) = 5*b**2 - 2*b. Suppose -10 = -6*t + t. Let l(r) = -21*r**2 + 9*r. Let v(p) = t*l(p) + 9*i(p). Factor v(z).
3*z**2
Let i(j) = j**2 + 2*j - 5. Let r be i(-6). Let c be (-25)/(-9) + (-24)/(-108). Factor -3*p**2 - 3*p**3 + 3*p + 3*p**5 + r*p**4 - 16*p**4 - c*p.
3*p**2*(p - 1)*(p + 1)**2
Suppose 2*f + 40 = 7*f. Find i, given that -4*i**4 + 0*i**2 + 32 - 48*i + 47*i**3 + f*i**2 - 35*i**3 = 0.
-2, 1, 2
Suppose 2*o - 110 = 4*l, 3*l = 5*l + o + 57. Let i be (8/l)/((-11)/14). Factor 6/11*k + i + 2/11*k**2.
2*(k + 1)*(k + 2)/11
Let q(b) be the first derivative of -3*b**4/4 - 129*b**3 - 16641*b**2/2 - 238521*b - 248. Determine z, given that q(z) = 0.
-43
Suppose -3*d - 5 = 2*d. Let s(k) = -5*k - 2. Let c be s(d). Suppose 2*f**3 + f**2 - f**c - 4*f**2 + 2*f**2 - 2*f = 0. What is f?
-1, 0, 2
Let v(g) be the first derivative of -g**4/22 - 46*g**3/33 - 43*g**2/11 - 42*g/11 - 165. Determine r so that v(r) = 0.
-21, -1
Let g be 12/(-8) + (-292)/(-128). Let t = g + -1/32. Solve -9/4*x**3 + 3/4*x**2 + 9/4*x - 3/2 + t*x**4 = 0.
-1, 1, 2
Let o(l) be the third derivative of l**5/450 - l**4/20 + 8*l**3/45 + 15*l**2 + 13*l. Suppose o(y) = 0. Calculate y.
1, 8
Let s(k) be the first derivative of k**6/72 - 7*k**5/12 + 245*k**4/24 - 22*k**3/3 - 8. Let i(b) be the third derivative of s(b). Factor i(p).
5*(p - 7)**2
Let i(f) be the second derivative of -5*f**4/12 + 185*f**3/6 + 95*f**2 + 399*f. Factor i(l).
-5*(l - 38)*(l + 1)
Let y(k) be the third derivative of -k**6/240 + k**5/20 + k**4/3 - 8*k**3 - k**2 + 11. Factor y(l).
-(l - 6)*(l - 4)*(l + 4)/2
Let n(g) be the third derivative of 0 - 1/40*g**6 - 3/25*g**5 + 0*g**3 - 1/10*g**4 - 6*g**2 + 0*g. Factor n(k).
-3*k*(k + 2)*(5*k + 2)/5
Let l(i) = -i**2 - 7*i - 6. Let r be l(-5). Find y, given that 3 + 4 - r*y**2 + y**2 - 3*y - 1 = 0.
-2, 1
Let f(n) be the first derivative of -12/5*n + 1/5*n**3 - 9/10*n**2 - 17. Suppose f(y) = 0. What is y?
-1, 4
Let h be (-237)/36 - (-1 + -6). Let s(m) be the second derivative of -h*m**4 + 2/3*m**3 - m + 0 + 0*m**2. Suppose s(u) = 0. What is u?
0, 4/5
Let m(f) be the second derivative of -3*f**6/20 - 21*f**5/20 - f**4 - 99*f. Factor m(z).
-3*z**2*(z + 4)*(3*z + 2)/2
Let h(l) = l - 12. Let n be h(21). Let a = -7 + n. Determine x, given that 4/7 - 2/7*x**3 + 8/7*x**a - 10/7*x = 0.
1, 2
Let l = -335 - -335. Let m(g) be the third derivative of 0*g**3 - 1/30*g**5 + g**2 - 1/168*g**8 + 1/60*g**6 + 0*g + 1/105*g**7 + 0*g**4 + l. Factor m(j).
-2*j**2*(j - 1)**2*(j + 1)
Let a be 20*(2584/(-200) + 13). Factor -a - 6/5*i**2 - 12/5*i - 1/5*i**3.
-(i + 2)**3/5
Let z(f) be the second derivative of -f**6/50 - 57*f**5/100 + 63*f**4/20 - 13*f**3/2 + 33*f**2/5 - 149*f - 2. Factor z(i).
-3*(i - 1)**3*(i + 22)/5
Let 5/2*q**2 - 14/3 + 2*q + 1/6*q**3 = 0. What is q?
-14, -2, 1
Suppose j - 7 = -2*n, 0 = -2*n + 4*j - 7 - 1. Suppose 8 = c + y, 3*y - n = 2*c + 2. Solve -4*x - 2 - 4*x**4 + c*x**3 + 6*x**4 + 0 = 0 for x.
-1, 1
Let k(u) be the first derivative of 7*u**3/4 - 321*u**2/8 + 45*u/2 + 26. Determine w, given that k(w) = 0.
2/7, 15
Suppose -10*c = -29 + 9. Factor 0 + 0*r - 1/3*r**c.
-r**2/3
Let a be 15*((-3)/18 + (-286)/(-420)) - 1. Determine v, given that -3/7*v - 48/7*v**4 + 16/7*v**5 + a*v**3 - 13/7*v**2 + 1/7 = 0.
-1/4, 1/4, 1
Let v(p) be the third derivative of 0 + 0*p - 1/6*p**4 + 11*p**2 + 1/3*p**3 + 1/30*p**5. Suppose v(o) = 0. What is o?
1
Let t(n) = 46*n**3 - 270*n**2 + 38*n - 2. Let b(k) = 181*k**3 - 1081*k**2 + 151*k - 9. Let y(p) = 2*b(p) - 9*t(p). Factor y(d).
-4*d*(d - 5)*(13*d - 2)
Suppose 2*g + 2*k = -2*k + 190, -g - 3*k = -95. Suppose 4*q = g - 95. Find f, given that 0*f**2 + q*f - 2/11*f**4 + 2/11*f**3 + 0 = 0.
0, 1
Factor 0 - 96/11*y**2 + 24/11*y**3 - 2/11*y**4 + 128/11*y.
-2*y*(y - 4)**3/11
Let d(z) be the second derivative of -7*z**5/30 + z**4/18 + 3*z + 46. Factor d(u).
-2*u**2*(7*u - 1)/3
Solve -4*l**2 - 18*l + 6*l + 5*l - 5*l = 0.
-3, 0
Let x = 98 - 94. Let f(a) be the second derivative of 0*a**2 - 1/10*a**5 - 2/3*a**3 - 2*a + 0 + 1/2*a**x. Find r such that f(r) = 0.
0, 1, 2
Suppose -4*f - 3/4*f**2 + 1/4*f**4 + 3/2*f**3 + 3 = 0. Calculate f.
-6, -2, 1
Let k be 2/18*(47 - 46)*3. Let l(v) be the first derivative of 6 - 1/4*v**4 + k*v**3 + 0*v + 0*v**2. Find u such that l(u) = 0.
0, 1
Let m be 2/5*(4 - (-2 + 1)). Factor -2/5*i**3 - 1/5*i**m + 0 + 1/5*i**4 + 2/5*i.
i*(i - 2)*(i - 1)*(i + 1)/5
Let f = -870 + 6092/7. Let y(h) be the first derivative of 16/21*h**6 + 46/21*h**3 - 9/7*h**2 + 4 - 1/2*h**4 + f*h - 48/35*h**5. Solve y(x) = 0.
-1, 1/4, 1
Let q = -94/57 + 182/95. Factor -2/15*i + 2/15*i**3 - 4/15 + q*i**2.
2*(i - 1)*(i + 1)*(i + 2)/15
Let j = 68188/5051 - -1/10102. Find n, given that -10/3 - 133/3*n**3 - j*n**2 - 49/6*n**4 + 58/3*n = 0.
-5, -1, 2/7
Let v be (56/(-49))/(30/(-105)). Determine p so that -v*p**2 + 8/3*p + 2*p**3 + 0 - 1/3*p**4 = 0.
0, 2
Let b(z) be the first derivative of z**6/12 - z**5/10 - z**4/2 + 2*z**3/3 - 60. Let b(o) = 0. What is o?
-2, 0, 1, 2
Let h(t) be the third derivative of -t**7/420 - 13*t**6/240 + 7*t**5/60 + 4*t**2 + t. Factor h(w).
-w**2*(w - 1)*(w + 14)/2
Let w(y) = 2*y + y**3 + 8*y + y + 34 - 5 - 14*y**2. Let n be w(13). Determine d so that 4/7*d**5 + 0 - 12/7*d**4 + 12/7*d**n + 0*d - 4/7*d**2 = 0.
0, 1
Let h(c) = -c**3 - 111*c**2 - 163*c - 44. Let d(o) = 37*o**2 + 54*o + 15. Let a(r) = -17*d(r) - 6*h(r). Factor a(x).
(x + 3)**2*(6*x + 1)
Suppose t = 0, -3*g - 3*t + 39 = 33. Let x(l) be the first derivative of 1/5*l**g + 0*l - 7 + 1/10*l**4 - 4/15*l**3. What is k in x(k) = 0?
0, 1
Let p(j) be the second derivative of j**6/7 + 2*j**5/35 - j**4/14 + 170*j. Let p(i) = 0. What is i?
-3/5, 0, 1/3
Let y = 435 + 316. Factor -751 + y + 2*w - w**2.
-w*(w - 2)
Let h be ((-1048)/36*3)/(2/(-3)). Let i = h + -129. Factor -2/5*q**4 + 0*q + 0*q**i + 0 - 2/5*q**3.
-2*q**3*(q + 1)/5
Let f be (-142)/639 + 150/432. What is c in 1/4*c - f*c**2 - 1/8 = 0?
1
Let i = -261/10 - -24. Let f = i + 13/5. Solve f*y**3 + 1/2*y + 0 + y**2 = 0 for y.
-1, 0
Let g(n) be the second derivative of -n**5/12 + 5*n**3/6 - 13*n**2 - 4*n. Let q(v) be the first derivative of g(v). Factor q(l).
-5*(l - 1)*(l + 1)
Suppose 17*w = -6*w. Suppose -2/11 + 4/11*o - 4/11*o**3 + w*o**2 + 2/11*o**4 = 0. Calculate o.
-1, 1
Let l = 58 + -39. Suppose -8*h = -5*r - 5*h + l, 3*r = -2*h. Find d, given that -2/7*d**r - 4/7*d + 6/7 = 0.
-3, 1
What is k in -192/5 + 48/5*k - 3/5*k**2 = 0?
8
Let t(a) = -a + 1. Let u be t(-1). Let p be 28/(-32)*2 + u. Determine v so that 0*v + p - 1/4*v**2 = 0.
-1, 1
Let o(p) be the third derivative of p**8/84 + 8*p**7/315 - 5*p**6/18 - 2*p**5/9 + 26*p**4/9 - 16*p**3/3 + 36*p**2. What is u in o(u) = 0?
-3, -2, 2/3, 1, 2
Factor -11*m**3 + 245*m - 305*m - 11*m**2 - 9*m**2 + 