 m?
-16, 0, 1
Let l be 12*8940/1200 - 89. Factor l*i**2 + 4000 - 80*i.
2*(i - 100)**2/5
Let l(t) = -t**3 - 13*t + 1. Let v(m) = m**4 + 9*m**3 - 12*m**2 - 31*m + 72. Let i(y) = 6*l(y) + 2*v(y). Factor i(d).
2*(d - 3)*(d - 1)*(d + 5)**2
Let r = -1020334 - -3061004/3. Factor 2*n + 2/3 + r*n**3 + 2*n**2.
2*(n + 1)**3/3
Let s = -94 + 104. Suppose 5*j + 17 = -q, -5*q + s*j - 6*j + 31 = 0. Factor 8*g**2 - 8*g**q - 12*g**2 - 6*g**2 - 120 + 100*g + 3*g**3.
-5*(g - 2)**2*(g + 6)
Let a(s) = -40*s**3 - 8*s**2 - 18*s - 11. Let k be a(-1). Let g(x) be the third derivative of 0 + 1/150*x**5 + 1/60*x**4 + k*x**2 + 0*x**3 + 0*x. Factor g(r).
2*r*(r + 1)/5
Let i = 2486879/1183 - 14717/7. Let r = 1/676 - i. Determine m, given that 1/8*m + 0*m**2 + 1/8*m**5 - r*m**3 + 0*m**4 + 0 = 0.
-1, 0, 1
Let q(t) be the first derivative of t**5/40 + 11*t**4/32 + 3*t**3/4 - 864. Factor q(z).
z**2*(z + 2)*(z + 9)/8
Let s(x) = -7*x**5 - 9*x**4 - 59*x**3 - 9*x**2 - 6. Let l(p) = -p**5 - 6*p**3 + p**2 - 1. Let z(h) = -6*l(h) + s(h). Let z(d) = 0. Calculate d.
-5, -3, -1, 0
Let g(m) = 13*m - 10 - 6 + 7*m**2 - 6*m**2. Let p be g(-15). Solve -9*i + p*i + 11*i**2 - 5*i**3 - 10 - i**2 = 0.
-1, 1, 2
Suppose -589 = 12*j - 613. Let h(b) be the second derivative of 0 - 17*b - 8/9*b**3 + 1/15*b**5 + 0*b**j - 8/45*b**6 + 16/9*b**4. Determine v so that h(v) = 0.
-2, 0, 1/4, 2
Let s(n) = -5*n**2 + 32*n. Let r(h) = 17*h**2 - 95*h. Let o(k) = 4*r(k) + 14*s(k). Find i such that o(i) = 0.
0, 34
Let r(b) = b**4 + b**3 - b**2 + 3*b - 1. Let x(c) = -121939*c**4 + 37851*c**3 - 3921*c**2 + 153*c - 6. Let w(y) = -6*r(y) + x(y). Let w(g) = 0. Calculate g.
0, 3/29
Solve -2/9*u**2 - 4*u - 64/9 = 0.
-16, -2
Let d(h) be the first derivative of 2/25*h**5 - 4/5*h**4 + 32/5*h + 16/5*h**3 + 71 - 32/5*h**2. Factor d(x).
2*(x - 2)**4/5
Let p(z) = z**2 - 5*z + 9. Let k(v) = v**2 - v. Let d(m) = -2*k(m) + p(m). Let f be d(-4). Let 5*i**3 + 0*i**2 + 5*i**4 - 4*i - f*i**2 - i = 0. Calculate i.
-1, 0, 1
Let z(y) be the third derivative of y**5/15 - 91*y**4/24 - 95*y**3/6 + 5*y**2 + 163. What is a in z(a) = 0?
-1, 95/4
Determine v, given that -3*v**3 + 3/5*v**2 - 3/5*v**4 - 36/5 + 51/5*v = 0.
-4, -3, 1
Let a(u) = 2*u**3 - 4*u**2 - 6*u + 23. Let k be a(3). Let -k*n + 2*n**2 + 2908 + 2092 - 177*n = 0. What is n?
50
Suppose 1276/3*j**2 - 3332/3 - 2422/3*j + 8/3*j**4 + 376/3*j**3 - 2/3*j**5 = 0. Calculate j.
-7, -1, 2, 17
Suppose -4*u - 20 = -q, -100549 = -2*q + 2*u - 100533. What is f in -54/17 + 162/17*f - 22/17*f**q - 180/17*f**2 + 92/17*f**3 + 2/17*f**5 = 0?
1, 3
Let a = 6128/53 - 11991/106. Determine h, given that 320*h - a*h**2 - 10240 = 0.
64
Let r(l) = 14*l - 24. Let p be r(2). Solve -69*z**2 - 144*z**3 + p*z**3 - 5*z**5 - 50*z**4 - 51*z**2 = 0.
-6, -2, 0
Suppose 60*n - 57*n + 3*d + 123 = 0, 3*d - 189 = 5*n. Let p be n/36 + 8/6. Factor -p*f**2 - 1/2*f + 0.
-f*(f + 2)/4
Suppose 184/5 + 1/5*k**2 - 94/5*k = 0. Calculate k.
2, 92
Let k(q) = -172*q**3 - 431*q**2 - 225*q - 21. Let x(w) = 35*w**3 + 86*w**2 + 45*w + 4. Let m(g) = 2*k(g) + 11*x(g). Factor m(t).
(t + 1)**2*(41*t + 2)
Suppose 77 + 173 = 3*q + 2*u, u + 395 = 5*q. Let f be 3*(-4)/q*-5. Factor 1/4*k**2 + f*k + 0.
k*(k + 3)/4
Determine h, given that 28/17 + 58/17*h + 32/17*h**2 + 2/17*h**3 = 0.
-14, -1
Find n such that 0 - 178/13*n**3 - 688/13*n**2 - 680/13*n - 2/13*n**4 = 0.
-85, -2, 0
Suppose -5*k = a - 10 - 1, -4*a = -k + 19. Suppose o + k*o = 8. Suppose 48/11 + 6/11*c**3 + 36/11*c**o + 72/11*c = 0. Calculate c.
-2
Let g(z) be the first derivative of -5*z**5 - 35*z**4/2 - 35*z**3/3 + 5*z**2 - 896. Let g(l) = 0. Calculate l.
-2, -1, 0, 1/5
Let x(a) = 7040*a - 63357. Let c be x(9). Determine t so that 2/7*t**4 - 32/7*t + 0*t**2 + 8/7*t**c - 32/7 = 0.
-2, 2
Suppose 2*m - 4*r = m + 14, -2*m + 20 = -4*r. Determine y, given that 22*y**4 + 12*y**3 - m*y - 6*y - 18*y**2 + 15 - 19*y**4 = 0.
-5, -1, 1
Let l(t) be the second derivative of t**5/140 + 11*t**4/21 - 1163*t**3/42 + 153*t**2 + 1736*t - 3. What is c in l(c) = 0?
-63, 2, 17
Suppose -1050*v**2 - 2075*v**3 - 97 + 561 + 2075*v - 270 + 10*v**4 + 538 + 308 = 0. Calculate v.
-1, -1/2, 1, 208
Let i = -215 + 217. Factor -3*v + 4225 + 8*v - v**i - 4229.
-(v - 4)*(v - 1)
Let z(x) be the first derivative of -2*x**5/5 - 11*x**4/6 - 2*x**3/3 + 11*x**2/3 + 4*x + 842. Let z(r) = 0. What is r?
-3, -1, -2/3, 1
Let f = -19930/11 - -159451/88. Factor 11/8*j**3 + 0*j + f*j**4 + 0 + 5/4*j**2.
j**2*(j + 1)*(j + 10)/8
Let f(y) be the third derivative of -y**6/120 + 7*y**5/12 - 119*y**4/24 - 155*y**3/6 + 625*y**2 + 2*y - 1. Factor f(d).
-(d - 31)*(d - 5)*(d + 1)
Let c(g) be the third derivative of -242*g**7/105 + 77*g**6/6 - 67*g**5/15 + g**4/2 - 1883*g**2. What is f in c(f) = 0?
0, 1/11, 3
Suppose 4*k = -4*q + 24, -4*q - q + 24 = 3*k. Factor 0*m**3 + 89*m + q*m**2 + m**3 - 95*m + 2*m**3.
3*m*(m - 1)*(m + 2)
Let b = 804 - 837. Let n be (-11)/b*2*2. Suppose 0*c - 8/9*c**2 + 0 + 0*c**4 - n*c**3 + 4/9*c**5 = 0. What is c?
-1, 0, 2
Let p(w) = -15*w**2 - 53*w + 37. Let r(x) = 120*x**2 + 425*x - 295. Suppose 10*j - 34 = -4. Let q(f) = j*r(f) + 25*p(f). Find c such that q(c) = 0.
-4, 2/3
Let b be (-504)/21*104/(-832). Factor 2/21*z**2 + 2/21*z + 2/7*z**4 + 0 - 10/21*z**b.
2*z*(z - 1)**2*(3*z + 1)/21
Let p = -108 - -542/5. Let k(r) = 3704*r + 51859. Let m be k(-14). Solve 0*x**m + 0*x + 0 - p*x**4 + 2/5*x**2 = 0.
-1, 0, 1
Determine m so that -8*m**3 - 35*m**2 + 97452 - 103852 - 6674*m - 289*m**2 + 4*m**3 - 46*m = 0.
-40, -1
Suppose -194 = -5*k - 0*k + 4*w, k = 3*w + 30. Find m, given that k*m**3 - 48*m**2 - 3*m**5 + 13*m**5 - 7*m**5 - 6 + 27*m - 18*m**4 = 0.
1, 2
Let c(a) be the third derivative of 0*a - 51*a**2 + 27/20*a**6 - 9/35*a**7 - 3*a**5 - 8/3*a**3 + 0 + 11/3*a**4. Factor c(v).
-2*(v - 1)*(3*v - 2)**3
Factor 22/13*c**2 - 20/13*c + 0 - 2/13*c**3.
-2*c*(c - 10)*(c - 1)/13
Let w(f) be the first derivative of 0*f - 62 + 4/5*f**2 - 8/15*f**3 + 2/25*f**5 - 1/10*f**4. Factor w(m).
2*m*(m - 2)*(m - 1)*(m + 2)/5
Let p(v) be the second derivative of v**5/25 - 59*v**4/15 + 176*v**3/5 + 648*v**2/5 - 12547*v. Suppose p(n) = 0. What is n?
-1, 6, 54
Let a be 1*(2 - (-8953)/(-35)). Let m = -253 - a. What is s in 0*s + 0 + 0*s**3 - 4/5*s**5 + m*s**4 + 0*s**2 = 0?
0, 1
Let z(g) be the first derivative of 5*g**4/8 - 255*g**3/2 - 4725*g**2/4 - 7155*g/2 - 191. Find t such that z(t) = 0.
-3, 159
Factor 1/2*l**2 - 26 - 51/2*l.
(l - 52)*(l + 1)/2
Suppose -5*c = 5*g, -5*c + 5*g + 1 = -29. Suppose 5*l = -t, 3*l + c*t = t. Factor 1/9*d**5 - 1/9*d**3 - 2/9*d**4 + l + 2/9*d**2 + 0*d.
d**2*(d - 2)*(d - 1)*(d + 1)/9
Solve 64*z + 1970*z**2 - 2036*z**2 + 38*z**3 - 36*z**3 = 0 for z.
0, 1, 32
Let l be (-36)/6*(-45)/27. Let t be l*7*(-8)/(-448). Factor 5/4*u**4 - 5/4*u**5 + 0 + t*u**3 - 5/4*u**2 + 0*u.
-5*u**2*(u - 1)**2*(u + 1)/4
Suppose 0 = x - 2*a - 25, 22*x - 58 = 20*x + 2*a. Factor x + 700*t + 66 - 500*t**2 - 185 - 159.
-5*(10*t - 7)**2
Factor -5*r**2 + 421 + 1961 + 91 - 693 + 880*r.
-5*(r - 178)*(r + 2)
Let k(p) be the third derivative of 0 - 1/14*p**7 - 1/24*p**6 + 1/4*p**5 + 5/24*p**4 + 0*p + 54*p**2 + 0*p**3. Solve k(a) = 0.
-1, -1/3, 0, 1
Let f(v) be the first derivative of 14*v + 4 - 1/60*v**4 + 1/100*v**5 + 0*v**3 + 0*v**2. Let g(u) be the first derivative of f(u). What is j in g(j) = 0?
0, 1
Factor -17*t + 99 - 15 - 16*t**2 + 15*t**2.
-(t - 4)*(t + 21)
Let c be ((-46)/30 - 2/(-6))/(99066/(-90060)). Determine w so that -c + 2/11*w**2 - 2/11*w = 0.
-2, 3
Let a(r) = 15*r**4 + 29*r**3 - 330*r**2 + 667*r - 367. Let n(p) = -5*p**4 - 9*p**3 + 110*p**2 - 222*p + 122. Let i(c) = 2*a(c) + 7*n(c). Factor i(d).
-5*(d - 2)**2*(d - 1)*(d + 6)
Let 84*g**2 - 87*g**3 + 267*g - 803*g + 3*g**4 + 263*g + 273*g = 0. What is g?
0, 1, 28
Let z(y) be the second derivative of y**5/90 + 5*y**4/36 + 2*y**3/3 + 32*y**2 + 26*y. Let v(c) be the first derivative of z(c). Factor v(o).
2*(o + 2)*(o + 3)/3
Suppose 4*w + w - 5519 = n, -4*w = -2*n - 4420. Let c = -1101 + w. Find k such that 2/13*k**c - 4/13 + 2/13*k = 0.
-2, 1
Let c(k) be the first derivative of -5*k**4/4 - 9575*k**3 - 55008375*k**2/2 - 35113679375*k + 8767. Factor c(p).
-5*(p + 1915)**3
Let p(m) be the second derivative of 1/54*m**4 - 3*m - 2/9*m**3 - 9 + m**2. Factor p(j).
2*(j - 3)**2/9
Suppose -8*h + 6*h = 4. Let o b