l**3 + 0.
-l**2*(l - 1)*(5*l + 2)/4
Let k be (38/(-6) - -3) + 2/6. Let a be (13/(-2) - (-2 + k))/(-9). Solve -1/3 + 1/6*t**2 - a*t = 0.
-1, 2
Let x(v) = -v**2 + v. Let j(s) = -8*s**2 - 78*s - 882. Let q(f) = -4*f - 24. Let z be q(-9). Let t(d) = z*x(d) - 2*j(d). Factor t(n).
4*(n + 21)**2
Find b such that 2638*b**3 + 0 + 16928/3*b + 181/3*b**4 - 25024/3*b**2 + 1/3*b**5 = 0.
-92, 0, 1, 2
Let m(n) = -11*n**2 - 20*n + 51. Let b(j) = -2*j**2. Let t(y) = 6*b(y) - m(y). Solve t(g) = 0 for g.
3, 17
Find m, given that -148 + 2*m**3 + 20*m**2 + 8 + 22251*m - 22229*m = 0.
-7, -5, 2
Let w(v) be the third derivative of -4/9*v**3 + 0 + 1/8*v**4 + 0*v - 1/180*v**5 + 20*v**2. Factor w(i).
-(i - 8)*(i - 1)/3
Let j(z) = -2*z**2 - 2*z + 28. Let m(h) = -5*h**2 - 3*h + 58. Let a(i) = 5*j(i) - 3*m(i). Let d(r) = 4*r**2 - 36. Let l(g) = 2*a(g) - 3*d(g). Factor l(v).
-2*(v - 4)*(v + 5)
Let v = -8641 - -8643. Factor -8/7*r + 12/7*r**3 + 18/7*r**4 + 8/7 - 22/7*r**v.
2*(r + 1)**2*(3*r - 2)**2/7
Let q = -517300/3 + 172438. Factor -64/3*m - 11*m**3 + q*m**4 - 1/3*m**5 - 112/3*m**2 + 0.
-m*(m - 8)**2*(m + 1)**2/3
Let r be (-104)/(-56) + (4 - 81/21). Let d be ((-30)/(-40))/(r/4). Factor 0 + d*o**4 - 3/2*o**2 - 3/2*o**3 + 3/2*o.
3*o*(o - 1)**2*(o + 1)/2
Let v = -642 + 380. Let m = -260 - v. Factor 0*x**m + 0 + 12/5*x**5 + 0*x - 3*x**4 + 3/5*x**3.
3*x**3*(x - 1)*(4*x - 1)/5
Let h(r) be the second derivative of r**6/360 + r**5/24 + r**4/4 + r**3/6 + 9*r**2 + r - 17. Let n(b) be the second derivative of h(b). Factor n(y).
(y + 2)*(y + 3)
Let l(u) = -u**3 + 6*u**2 - u - 10. Let s be l(5). Let x be (1 + s)*2/11. Factor -67*z + 2*z**x - 7*z**2 + 97*z.
-5*z*(z - 6)
Let w(g) = -55*g + 65. Let d be w(-2). Factor 147*c**3 + 92*c**4 + d*c**2 + 60*c**2 - 127*c**4 + 143*c**3 + 0*c**2 - 90*c.
-5*c*(c - 9)*(c + 1)*(7*c - 2)
Factor 0*i**5 + 4*i**5 - 5*i**5 + 1101*i - 1117*i - 30*i**3 - 49*i**2 - 19*i**4 - 21*i**3.
-i*(i + 1)**3*(i + 16)
Let s(u) = -23*u**3 + 13*u**2 + 7*u + 7. Let y = 277 - 263. Let v(f) = -3*f**3 + f**2 + f + 1. Let a(p) = y*v(p) - 2*s(p). Let a(l) = 0. Calculate l.
0, 3
Let n = -2/6619 + 13280/138999. Let w(b) be the second derivative of -27*b - n*b**3 + 0*b**2 + 5/42*b**4 + 0. Solve w(r) = 0.
0, 2/5
Solve 648*z**5 + 2802*z**4 + 356/9*z + 2/3 + 6136/9*z**2 + 25172/9*z**3 = 0 for z.
-3, -1, -1/4, -1/27
Let o be ((-2)/22*2)/((-8504)/35079). Let p be (-70)/(-24) + 2/(-3). Find q such that 0 - o*q + 27/8*q**2 - p*q**4 - 21/8*q**3 = 0.
-2, 0, 1/3, 1/2
Let o(h) be the first derivative of -4/33*h**6 - 23/22*h**4 + 0*h + 3/11*h**2 - 38/55*h**5 - 10/33*h**3 + 6. Solve o(w) = 0 for w.
-3, -1, 0, 1/4
Let b(p) be the second derivative of 2*p**6/15 - 363*p**5/5 + 10920*p**4 + 66248*p**3/3 - 5*p + 79. Let b(h) = 0. Calculate h.
-1, 0, 182
Let c(f) be the second derivative of f**4/28 + 10*f**3/7 + 54*f**2/7 - 1872*f. Factor c(x).
3*(x + 2)*(x + 18)/7
Let q(n) be the third derivative of 0*n + 0 - 1/120*n**5 + 3/2*n**3 - 17*n**2 + 1/360*n**6 - 1/12*n**4. Let d(h) be the first derivative of q(h). Factor d(y).
(y - 2)*(y + 1)
Let k(m) = -m**3 + m**2 + 2*m. Let x(b) = -5*b**5 - 15*b**4 + 4*b**3 - 4*b**2 - 8*b. Let o = 37 - 33. Let n(t) = o*k(t) + x(t). Let n(z) = 0. What is z?
-3, 0
Suppose 2 - 2 = -c. Suppose c = 4*n + 8 - 16. Factor -15*v**4 - 6*v**2 + 19*v**4 + 2*v - 2*v**5 + n*v**2.
-2*v*(v - 1)**3*(v + 1)
Suppose 1881*m = 1865*m. Let x(v) be the second derivative of m - 1/18*v**4 + 0*v**3 + 1/3*v**2 - 22*v. Factor x(f).
-2*(f - 1)*(f + 1)/3
Let g(d) be the third derivative of -8*d**6/165 - 59*d**5/330 - d**4/6 + 5*d**3/33 - 2657*d**2. Find s, given that g(s) = 0.
-1, 5/32
Let q be 10 + -15*(-7)/(-21). Find s, given that 3*s**4 + 10*s**5 - 7*s**5 + 4*s**q + 8*s**4 + 3*s + 3*s - 13*s**3 - 11*s**2 = 0.
-2, -1, 0, 3/7, 1
Suppose 0 = -4*q - 4, q - 3089 = 5*y. Let c = 1050 + y. Find l such that 34*l**2 + 11*l**2 + 437*l - c*l = 0.
-1/9, 0
Factor 0 + 2/7*y**4 - 72/7*y + 0*y**2 + 2*y**3.
2*y*(y - 2)*(y + 3)*(y + 6)/7
Let b(o) be the third derivative of -o**8/112 - 4*o**7/15 - 5*o**6/2 - 277*o**5/30 - 139*o**4/8 - 55*o**3/3 + 25*o**2 - o - 3. Suppose b(p) = 0. What is p?
-11, -5, -1, -2/3
Let o = -2/16189 + 356188/242835. Let q(k) be the second derivative of 0 + 1/10*k**4 - o*k**3 - 9*k + 7/5*k**2. Solve q(l) = 0 for l.
1/3, 7
Let u(k) = -8*k**4 + 68*k**3 + 54*k**2 - 68*k - 36. Let r(o) = 8*o**4 - 68*o**3 - 52*o**2 + 68*o + 36. Let j(i) = -5*r(i) - 4*u(i). What is v in j(v) = 0?
-1, -1/2, 1, 9
Let y(v) be the first derivative of -v**7/140 - 7*v**6/180 + v**5/6 - v**3/3 - 50*v + 47. Let d(f) be the third derivative of y(f). Let d(z) = 0. What is z?
-10/3, 0, 1
Let z(o) be the first derivative of -o**4/6 + 46*o**3/9 - 40*o**2 - 4163. Find v, given that z(v) = 0.
0, 8, 15
Let s be (250/(-625))/(30 + -33 - (-42)/20). Factor 16/3 + 40/9*k**2 + s*k**3 - 92/9*k.
4*(k - 1)**2*(k + 12)/9
Let o(g) = -6*g**3 + 20*g**2 - 2*g**2 + 1 + 5*g**3. Let q be o(18). Find x, given that -2*x**3 - 1 - q + 8*x + 2 = 0.
-2, 0, 2
Let y(x) be the first derivative of -5/2*x**3 - 14*x - 11 + 5/3*x**4 + 0*x**2 - 1/4*x**5. Let c(w) be the first derivative of y(w). Factor c(s).
-5*s*(s - 3)*(s - 1)
Let x = 3411 + -3405. Let a(p) be the third derivative of -5*p**2 + 0 + 0*p**x + 0*p**3 + 1/30*p**4 + 0*p - 1/525*p**7 + 1/50*p**5. Factor a(y).
-2*y*(y - 2)*(y + 1)**2/5
Let b be ((-4150)/18260)/(0 - 10/32). Let -b*k**3 + 32/11*k - 32/11 + 0*k**2 + 2/11*k**4 = 0. Calculate k.
-2, 2
Factor 52/7*t**3 + 128/7*t - 4/7*t**4 + 0 - 176/7*t**2.
-4*t*(t - 8)*(t - 4)*(t - 1)/7
Let g = -418 + 752. Suppose g*m - 27 = 325*m. Determine f, given that -1/5*f**4 + 1/5*f**2 + 3/5*f - 3/5*f**m + 0 = 0.
-3, -1, 0, 1
Suppose 5*s - 4*s - 468 = -3*c, 2*c = -5*s + 312. Determine a, given that -6*a**5 - 68*a**4 + 80*a + 8*a**5 - 16 + 148*a**3 - c*a**2 + 5*a**5 + 5*a**5 = 0.
2/3, 1, 2
Suppose -10*j = -5*j. Solve 5*b**4 + 0*b**4 + 2*b + j*b**3 + 4*b**3 - 4*b**4 + 5*b**2 = 0 for b.
-2, -1, 0
Let w be 1 - (417/(-4))/((-21)/(-56)). Let m = 281 - w. Solve 7/2*n**3 - n - 5/2*n**m + 0 = 0 for n.
-2/7, 0, 1
Determine a, given that 1928 - 5778 + 5*a**2 + 1939 - 6*a + 1936 - 24*a = 0.
1, 5
Let y(v) = -4*v**4 - 8*v**3 + 3*v**2. Let l = 72 - 146. Let k = l + 54. Let n(c) = 28*c**4 + 56*c**3 - 20*c**2. Let s(m) = k*y(m) - 3*n(m). Factor s(d).
-4*d**3*(d + 2)
Let x be -11 + 3 - (-5 + 920/(-50) + 15). Solve -18/5*v**3 + 0 - x*v**4 + 0*v + 0*v**2 = 0.
-9, 0
Suppose -2*n - 31 = -4*o - 5, -o - n = 1. Suppose 10*d - 3 = 4*k + 13*d, k - o*d = 4. Suppose 1/4*q**3 + q**2 + k + 3/4*q = 0. What is q?
-3, -1, 0
Let d be (-1800)/945*(2 - 2837/(-2)). Let a = d - -2713. Suppose 9/7*b + a*b**2 + 0 + 60/7*b**3 = 0. What is b?
-3/5, -1/4, 0
Let j(n) be the first derivative of 3*n**6/16 + 33*n**5/10 + 261*n**4/16 + 21*n**3/2 - 147*n**2/16 - 376. Solve j(w) = 0 for w.
-7, -1, 0, 1/3
Let t(c) be the second derivative of -c**6/10 + 123*c**5/20 - 573*c**4/4 + 3047*c**3/2 - 6171*c**2 - 8*c + 94. Determine h, given that t(h) = 0.
2, 11, 17
Suppose 5*x - 75 = -4*q, 3*q + 0*q - 60 = -4*x. Let m be x/(-27)*6 + 4. Suppose -2/3*p + m*p**3 + 2/9*p**4 - 4/9 + 2/9*p**2 = 0. Calculate p.
-2, -1, 1
Let o be ((-1185)/(-45))/((2/12)/1). Solve -y**2 + 174*y + 2*y**2 - o*y = 0.
-16, 0
Factor -2/5*s**3 + 216/5 + 46/5*s**2 + 208/5*s.
-2*(s - 27)*(s + 2)**2/5
Let w(d) be the third derivative of d**6/150 + 7*d**5/25 + 71*d**4/30 + 34*d**3/5 + 2717*d**2. Determine r, given that w(r) = 0.
-17, -3, -1
Let j be ((-142)/(-1562))/((-2 - (-286)/144)*-1). Factor 0 + j*x**2 - 96/11*x**3 + 0*x + 26/11*x**4 - 2/11*x**5.
-2*x**2*(x - 6)**2*(x - 1)/11
Let q(r) = 5*r**2 - 41*r + 63. Let g(k) be the first derivative of -40*k**3/3 + 165*k**2 - 505*k - 92. Let m(l) = 3*g(l) + 25*q(l). Factor m(i).
5*(i - 4)*(i - 3)
Let q(r) be the third derivative of -r**8/560 + 23*r**7/350 - 9*r**6/20 - 11*r**5 + 175*r**4 - 6098*r**2. Find n such that q(n) = 0.
-7, 0, 10
Determine p, given that 4*p**2 + 561 - 13114*p + 12637*p - 85*p**2 - 3*p**3 = 0.
-17, -11, 1
Suppose 2*x + 6*x - 24 = 0. Factor -6 - x*l**2 + 10*l - 69 + 20*l.
-3*(l - 5)**2
Let h(v) be the third derivative of 0 + 1/112*v**8 - 16*v**2 - 2*v - 1/10*v**5 + 5/8*v**4 - 3/20*v**6 + 3/2*v**3 - 1/70*v**7. Solve h(j) = 0 for j.
-1, 1, 3
Suppose 0 = -17*b + 4*b + 1547. Let x = b - 