 t - 6/13*q = 0. Calculate q.
-1, 0, 3
Suppose 7849*m + 3147*m**2 - 1148*m**2 + 667*m + 508*m + 263*m**2 + 2*m**3 + 9016 = 0. What is m?
-1127, -2
Factor -185*z - 2744 - 2*z**3 + 41*z + 23*z**2 - 1792 + 35*z**2.
-2*(z - 18)**2*(z + 7)
Let f be -45 - (18765/(-225) - -38). Let 1/5*w**2 + 1/5 + f*w = 0. What is w?
-1
Let i be (-75)/(-108) - (-2)/(-8). Let q be 0/1051*(-1)/(-4)*-2. Factor 0 + q*o**3 + 4/9*o**4 - i*o**2 + 2/9*o - 2/9*o**5.
-2*o*(o - 1)**3*(o + 1)/9
Suppose -15*h = -153 - 87. Let q be (-8)/h*1*-10. Factor 0 + 14/13*v**2 + 18/13*v**3 + 4/13*v + 10/13*v**4 + 2/13*v**q.
2*v*(v + 1)**3*(v + 2)/13
Let l(n) be the first derivative of 0*n + 66 + 3/10*n**5 + 9/2*n**4 + 21/2*n**2 - 27/2*n**3. Factor l(o).
3*o*(o - 1)**2*(o + 14)/2
Let p(l) be the first derivative of l**3/12 + 1277*l**2/4 + 1630729*l/4 + 2699. Factor p(q).
(q + 1277)**2/4
Let b(x) = -x**3 + 2*x**2 + 3*x + 3. Let w be b(0). Let c be 4/(-102)*w - 4736/(-3264). Determine d, given that 10/9*d - c - 2/9*d**2 = 0.
2, 3
Let f be 6281/22 - 1/(-2). Factor 5*t**4 - 114*t**2 - 20*t - f + 514*t**2 - 70*t + 90*t**3 - 119.
5*(t - 1)*(t + 1)*(t + 9)**2
Suppose 5322*o - 569 + 4278*o + 106*o**4 + 6536*o**2 + 5177 + 1648*o**3 + 2*o**5 = 0. What is o?
-24, -2, -1
Let i(a) be the third derivative of a**5/180 - 115*a**4/72 + 113*a**3/9 + 511*a**2. Factor i(g).
(g - 113)*(g - 2)/3
Suppose 83 + 129 = 4*f. Let g be (-2)/(-14) + (-1027)/(-553). Factor -f*q**2 - 56*q**g - 5*q + 114*q**2.
5*q*(q - 1)
Let y(l) = -15*l + 98. Let j be y(7). Let w be -6 - ((-162)/10 - j). Factor -14/5*r**3 + 32/5*r + w*r**2 + 2/5*r**4 + 0.
2*r*(r - 4)**2*(r + 1)/5
Factor -576 + 10*l**2 + 121*l**3 - 490*l**2 - 4*l**4 + 896*l + 134*l**3 - 159*l**3.
-4*(l - 18)*(l - 2)**3
Let a(h) = -h**4 + h**3 + h + 1. Let n = -316 - -318. Let l(s) = 3*s**4 - s**3 - 2*s**2 - 2*s - 2. Let t(g) = n*a(g) + l(g). What is z in t(z) = 0?
-2, 0, 1
Let u(l) be the second derivative of l**6/50 + 33*l**5/50 + 59*l**4/20 + 19*l**3/5 - 1737*l. Suppose u(s) = 0. What is s?
-19, -2, -1, 0
What is s in -48*s**4 + 66*s**2 - 21/2*s**5 + 39/2*s - 9*s**3 - 18 = 0?
-4, -1, 3/7, 1
Suppose 12 = -y + 5*y. Suppose -3*f - 5*b + 1 + 6 = 0, 2*f - b - 9 = 0. Factor 10*c**f + 165*c**2 + 67*c + 110*c**y + 16*c**4 + 33*c + 20 - c**4.
5*(c + 1)**2*(c + 2)*(5*c + 2)
Let r(m) be the third derivative of m**8/840 + 2*m**7/175 - 9*m**6/100 - 56*m**5/75 + 23*m**4/5 - 48*m**3/5 - 7694*m**2. Suppose r(c) = 0. Calculate c.
-6, 1, 4
Let f = 39 - 74. Let s = 38 + f. Factor -2*x**s - 2*x**2 + 2*x**5 - 79*x**4 + 0*x**3 + 81*x**4.
2*x**2*(x - 1)*(x + 1)**2
Let a(n) = -9*n**2 - 737*n + 976. Let h(i) = i**2 - 23*i - 1. Let f(p) = -a(p) - 10*h(p). Find d such that f(d) = 0.
1, 966
Let x(d) be the third derivative of d**7/1260 + d**6/180 - d**5/45 - 3*d**3 - 66*d**2. Let z(f) be the first derivative of x(f). Factor z(b).
2*b*(b - 1)*(b + 4)/3
Let p(q) = -10*q**3 + q**2 - 7*q + 7. Let u be p(1). Let i be (-40)/(-36)*u/(-6) - 1. Factor 2/3*r**3 + i*r + 0 - 4/3*r**2.
2*r*(r - 1)**2/3
Let w be (-6)/(0 - -2)*-1*4. Suppose 8*n = 5*n + w. Factor -18*t**2 - 4*t**3 - 6*t**n + 3*t**4 - 17*t**3.
-3*t**2*(t + 1)*(t + 6)
Let u be 1/((11/(-155))/(-11)). Determine w so that u*w**2 - 67*w - 50*w**4 + 40 - 73*w**2 - 240*w**3 + 235*w = 0.
-5, -2/5, 1
Let q(s) = s**3 - 5*s**2 + s + 1. Let x(o) = 26*o**3 - 203*o**2 + 394*o - 14. Let f(j) = 10*q(j) - 5*x(j). What is d in f(d) = 0?
1/24, 4
Find t, given that 1/5*t**3 - 327/5*t**2 + 35643/5*t - 1295029/5 = 0.
109
Let d(n) be the second derivative of 2163/20*n**5 + 66*n**4 - 61*n - 98/5*n**6 - 24*n**2 + 0 - 22*n**3. What is b in d(b) = 0?
-2/7, 1/4, 4
Let i(n) be the second derivative of n**5/60 - 329*n**4/12 + 27115*n**3/2 - 243049*n**2/6 + 146*n - 10. Factor i(d).
(d - 493)**2*(d - 1)/3
Let p(x) be the third derivative of x**5/390 + 17*x**4/39 - 140*x**3/39 - 26*x**2. Let p(r) = 0. Calculate r.
-70, 2
Let t(l) = 2*l**4 - 9*l**3 - 26*l**2 + 3*l - 3. Let p(f) = 5*f**4 - 17*f**3 - 53*f**2 + 7*f - 5. Let i(b) = -3*p(b) + 5*t(b). Determine z, given that i(z) = 0.
-2, 0, 1/5, 3
Let j(u) = -531*u + 159834. Let z be j(301). Factor 0*t + 0*t**2 + 9/2*t**z - 3/2*t**4 - 3/8*t**5 + 0.
-3*t**3*(t - 2)*(t + 6)/8
Let p(t) be the first derivative of 0*t - 37 + 2/15*t**3 + 0*t**2 - 5/4*t**4 - 132/25*t**5. Factor p(z).
-z**2*(4*z + 1)*(33*z - 2)/5
Let u = 705 + -608. Let b = -97 + u. Factor 0*f - 3/4*f**4 + b - 9/2*f**3 - 27/4*f**2.
-3*f**2*(f + 3)**2/4
Let c(a) = a**2 - 29*a + 80. Suppose -2*h + 79 = -2*o + 25, -4*h + 100 = 4*o. Let v be c(h). Factor 3/5*n**3 + n**v + 0 + 2/5*n - 1/5*n**4 - 1/5*n**5.
-n*(n - 2)*(n + 1)**3/5
Let h(q) be the first derivative of -q**4/18 - 10*q**3/9 + 16*q**2 - 440*q/9 + 1717. Let h(d) = 0. Calculate d.
-22, 2, 5
Let d(j) be the third derivative of 3 + 17*j**2 + 1/240*j**5 - 9/4*j**3 + 0*j + 5/32*j**4. Factor d(s).
(s - 3)*(s + 18)/4
Let x(d) be the first derivative of d**3/9 + 964*d**2/3 + 929296*d/3 - 4735. Factor x(m).
(m + 964)**2/3
Suppose -2*b - 95 = 3*u, 137 = -5*u + 4*b - 2*b. Let g = u - -88/3. Factor -g*y**2 + 2*y + 0.
-y*(y - 6)/3
Let m(a) be the third derivative of 4 + 2/3*a**4 - 1/105*a**7 - 2/5*a**5 + 2*a**2 + 1/10*a**6 + 0*a**3 + 0*a. Suppose m(i) = 0. What is i?
0, 2
Let o(u) = 4*u**2 + 12*u + 12. Let g be o(-1). Factor 185*k**3 + 5*k**5 - 366*k**3 + 176*k**3 - 5*k**2 + 5*k**g.
5*k**2*(k - 1)*(k + 1)**2
Determine h, given that -276*h**2 - 16384*h**3 + 16370*h**3 - 1044 + 2415*h + 1319*h = 0.
-29, 2/7, 9
Let c(g) be the third derivative of 37*g**7/630 + 23*g**6/120 - g**5/18 + 2403*g**2. Factor c(d).
d**2*(d + 2)*(37*d - 5)/3
Suppose -10*a + 25 + 35 = 0. Let q be 1*((-10)/15)/(a/(-18)). What is d in -1/4*d**5 + 1/4*d**4 + 1/2*d**3 - 1/4*d + 1/4 - 1/2*d**q = 0?
-1, 1
Factor -3775*i - 3*i**3 + 826*i + 0*i**3 - 834*i**2 + 1119*i + 999*i.
-3*i*(i + 1)*(i + 277)
Suppose d + 7*d - 248 = 0. Suppose 9*c - 49 = -d. Suppose 0*y + 0 - 1/3*y**3 + 1/2*y**c - 1/6*y**4 = 0. What is y?
-3, 0, 1
Let z be (-75)/(-175) + ((-12900)/(-112))/(-1). Let s = z - -3225/28. Factor -9/7 - s*w**2 + 12/7*w.
-3*(w - 3)*(w - 1)/7
Let j(z) be the first derivative of z**6/6 + 13*z**5/5 + 17*z**4/2 - 16*z**3 - 3164. Factor j(u).
u**2*(u - 1)*(u + 6)*(u + 8)
Let v(z) be the first derivative of -5*z**3/3 + 115*z**2 + 235*z - 927. Suppose v(n) = 0. Calculate n.
-1, 47
Let k(l) = -l**2 + 5*l + 38. Let c be k(-4). Factor -2*f**c - 3*f**2 + 40 + 5*f + 26 - 56.
-5*(f - 2)*(f + 1)
Solve 285*a + 2*a**2 + 152 + 674*a + 394 - 325*a + 714 = 0.
-315, -2
Let d(i) = 3*i**2 + 3*i - 3. Let s be d(-4). Suppose -2*x = 29 - s. Let l(j) = 6*j**2 + 2*j - 8. Let f(z) = -z**2. Let m(b) = x*l(b) + 10*f(b). Factor m(y).
2*(y - 2)*(y + 4)
Let x(b) = -b**2 + 67. Let n(d) = -18*d**2 - 375*d + 1119. Let v(a) = n(a) - 9*x(a). Factor v(k).
-3*(k + 43)*(3*k - 4)
Factor -1/2*f**2 + 47/2*f + 0.
-f*(f - 47)/2
Suppose 185*w**2 + 1460*w + 497*w**3 - 343*w**3 - 1300 - 257*w**3 - 282*w**3 + 35*w**4 + 5*w**5 = 0. Calculate w.
-13, -2, 1, 2, 5
Suppose 13*t - 96 = 11*t. Suppose -t = 12*s - 28*s. Factor 0 + 2/5*v**2 + 0*v + 2/5*v**s.
2*v**2*(v + 1)/5
Let q(l) be the first derivative of -4*l**3/27 - 4*l**2/9 + 224*l/3 + 4646. What is u in q(u) = 0?
-14, 12
Let r be -15 + 1/(3/12) + -2. Let t(m) = m**3 + 16*m**2 + 27*m - 17. Let v be t(r). Factor 134*y**3 - 222*y - 3375 + 897*y - 272*y**3 - 45*y**2 + v*y**3.
(y - 15)**3
Factor -9*h**3 + 216/5 + 222/5*h**2 - 396/5*h + 3/5*h**4.
3*(h - 6)**2*(h - 2)*(h - 1)/5
Let a = -538 - -385. Let u = -1223/8 - a. What is c in -1/4*c - 1/8 - u*c**2 = 0?
-1
Let b(q) = -q**3 - 7*q + 6. Let u(g) = g - 1. Let a(f) = b(f) + 6*u(f). Let o(w) = 2*w**3 + 17*w. Let n(p) = 5*a(p) + o(p). Factor n(r).
-3*r*(r - 2)*(r + 2)
Let h be 321 + 16/(11 + -7). Let t = h + -973/3. Let -2*r + t*r**2 + 4/3 = 0. What is r?
1, 2
Let o(t) = -80 - 183 + 4*t**2 - 44*t + 24. Let u(g) = -46*g**2 + 484*g + 2628. Let h(n) = -68*o(n) - 6*u(n). Let h(y) = 0. Calculate y.
-11
Let k(a) = -2*a**2 + 9*a - 5. Let d be k(3). Factor 21684 + 42*l**2 + 15*l + 36*l**3 - 3*l**5 - 21684 + 6*l**d.
-3*l*(l - 5)*(l + 1)**3
Let -48/7 - 6/7*u**5 + 66/7*u**2 - 174/7*u**3 + 76/7*u + 86/7*u**4 = 0. Calculate u.
-2/3, 1, 12
Let y(x) = -113*x**2 + 305*x + 104. Let d be y(3). Suppose 15 + 35/6*c - 70/3*c**d + 5/2*c**3 = 0. Calcul