- 48 + 78*c + 99*c**2 + 33/2*c**3 = 0.
-2, 2/5, 8
Let g(b) = 4*b**2 + 6*b - 8. Let z(j) = j**3 - j**2 - 10*j - 7. Let n be z(-2). Let q be g(n). Let -3/7*c**q - 27/7 + 18/7*c = 0. What is c?
3
Let m(f) be the third derivative of 7*f**7/12 + 525*f**6/8 + 166*f**5 + 2365*f**4/24 + 105*f**3/4 - 5*f**2 - 189*f. What is a in m(a) = 0?
-63, -1, -1/7
Factor -9*r**2 + 4*r**3 - 9*r**2 - 5*r + r**3 + 18*r**2.
5*r*(r - 1)*(r + 1)
Suppose 1 = -g + 5*s, -2*s - 31 + 29 = -g. Find u, given that 0 - 1/4*u**g + 0*u + u**3 - 3/4*u**2 = 0.
0, 1, 3
Solve 319737 - 320092 + 200*m + m**3 - 77*m**2 + 231*m = 0 for m.
1, 5, 71
Let m(w) be the third derivative of w**6/360 + 11*w**5/12 + 9*w**4/4 - 164*w**3/9 + 557*w**2. Factor m(y).
(y - 1)*(y + 2)*(y + 164)/3
Let i(c) = 858*c**3 - 891*c**2 + 15*c + 72. Let l(k) = -429*k**3 + 445*k**2 - 8*k - 32. Let f(s) = 4*i(s) + 9*l(s). Let f(u) = 0. What is u?
0, 4/143, 1
Suppose 3*h + 3 - 12 = 0. Suppose -5*o = -3*q + 13 - 1, h*q = 12. Find x such that 12 - 3*x**2 - 30 + o*x + 7*x + 8*x = 0.
2, 3
Suppose -10*t = 7*t - 51. Suppose 105 = 2*p - t*d + 6*d, 0 = 2*p + 5*d - 107. Suppose 2 + 9*w + 3*w**2 - p*w**3 + 0 + 47*w**3 + 0*w = 0. Calculate w.
-1, -1/4, 2
Let p be (-94 - (-59354)/236)/((-6)/(-80)). Factor 60*m + p + 3/7*m**2.
3*(m + 70)**2/7
Let n(g) be the first derivative of -2/15*g**3 - 13 + 0*g + 4/5*g**2. Suppose n(m) = 0. What is m?
0, 4
Let v(k) = -k**2 + 14*k + 150. Let g be v(21). Let y(r) be the first derivative of 0*r**g - 1/9*r**2 + 15 + 1/18*r**4 + 0*r. Find p, given that y(p) = 0.
-1, 0, 1
Factor -48 - 2*d**2 + 3 + 14 + 15 + 2*d**3 - 4*d - 16*d.
2*(d - 4)*(d + 1)*(d + 2)
Let y(s) be the first derivative of 2/9*s**6 + 0*s - 8/15*s**5 - 4/3*s**4 + 141 + 0*s**2 + 32/9*s**3. What is l in y(l) = 0?
-2, 0, 2
Suppose -2 = r + 2. Let w be (3/(-4))/3 + (-33)/r. Factor 2*g**2 - 16*g - 5*g**3 + w*g**2 + 16*g.
-5*g**2*(g - 2)
Suppose -1229*w + 58113 - 55655 = 0. Suppose 2/5*j**3 - 6/5*j**4 + 0 - 2/5*j**5 + 6/5*j**w + 0*j = 0. What is j?
-3, -1, 0, 1
Let l = -6399 + 307153/48. Let v(r) be the third derivative of -1/24*r**3 + l*r**4 + 0*r + 5*r**2 + 0*r**5 - 1/240*r**6 + 0 + 1/840*r**7. Solve v(n) = 0.
-1, 1
Factor 2/5*s**2 + 20*s + 96/5 - 2/5*s**3.
-2*(s - 8)*(s + 1)*(s + 6)/5
Let k(s) be the first derivative of -4*s**3/3 + 1132*s**2 - 320356*s - 1090. Let k(z) = 0. What is z?
283
Let u(m) be the second derivative of m**4/24 - 7*m**3/3 + 27*m**2/4 - 10*m - 24. Factor u(d).
(d - 27)*(d - 1)/2
Let 297*k + 35 + 305*k + 283*k + 5*k**2 + 35 - 930*k = 0. Calculate k.
2, 7
Suppose -f - 8 = 9*i - 8*i, -2*i + 4*f - 16 = 0. Let t be (-5*(-32)/(-240))/(i/3). Solve 3/4 + p**3 - 1/2*p**2 - t*p**4 - p = 0 for p.
-1, 1, 3
Let l be (-132)/48*7/((-14)/264). Factor -v**3 - 90*v**2 - 4*v**3 - l*v + 363*v.
-5*v**2*(v + 18)
Suppose 7*h - 18 - 3 = 0. Let f be -2 + (48/4)/h. Find t such that 10 - 237*t**3 - 371*t**3 + 560*t**f - 224*t + 21 - 50*t**5 + 1 + 290*t**4 = 0.
2/5, 1, 2
Let v(s) be the third derivative of 0 + 7/20*s**5 - 8*s**2 + 15/8*s**4 + 0*s + 1/40*s**6 + 9/2*s**3. What is p in v(p) = 0?
-3, -1
Determine d, given that -372*d**3 - 54*d**4 - 1256/3*d**2 + 4400/3*d + 7744/3 = 0.
-4, -22/9, 2
Let r = -33033 + 66093/2. What is f in 21/2*f**2 - r*f**4 + 0 + 0*f**3 - 3*f = 0?
-1, 0, 1/3, 2/3
Let x be (-39)/(13/(-1)) - 51/18. Let k(v) be the first derivative of -15 - 25*v - 29/2*v**4 - 106/3*v**3 - 13/5*v**5 - 85/2*v**2 - x*v**6. Factor k(d).
-(d + 1)**3*(d + 5)**2
Determine i, given that 2/3 - 7/3*i**2 - 4/3*i**5 + 5/3*i**4 + 11/3*i**3 - 7/3*i = 0.
-1, 1/4, 1, 2
Let a(x) be the second derivative of x**6/120 + 15*x**5/16 + 47*x**4/16 - 371*x**3/24 - 219*x**2/4 + 284*x + 2. Solve a(f) = 0.
-73, -3, -1, 2
Let a(o) be the first derivative of -o**4/12 - 2*o**3/3 - 3*o**2/2 - 184. Factor a(w).
-w*(w + 3)**2/3
Find v, given that -21/5*v - 16 - 1/5*v**2 = 0.
-16, -5
Suppose 1/3*l**2 - 209*l + 626/3 = 0. Calculate l.
1, 626
Let k be (-72)/(-160) - (-13 - (9 - 1335/60)). Factor -k*x**2 + 2 + 9/5*x.
-(x - 10)*(x + 1)/5
Determine w, given that 416/5*w**2 + 134/5*w - 276/5 - 132/5*w**3 - 2/5*w**5 - 28*w**4 = 0.
-69, -2, -1, 1
Let s(p) be the first derivative of p**4/42 + 17*p**3/21 - 38*p**2/7 + 11*p - 40. Let q(w) be the first derivative of s(w). Let q(h) = 0. Calculate h.
-19, 2
Let f be (171/190)/(126/35). Factor f*h**2 - 1/2*h + 0.
h*(h - 2)/4
Let k(f) = -18*f**2 + 206*f + 442. Let x(z) = 15*z**2 - 207*z - 438. Let w(l) = 6*k(l) + 7*x(l). Solve w(b) = 0.
-69, -2
Let d(a) be the second derivative of 2*a + 0*a**2 + 0*a**4 + 7/40*a**6 + 0*a**3 - 1/28*a**7 - 9/80*a**5 - 36. Factor d(r).
-3*r**3*(r - 3)*(2*r - 1)/4
Let z be 4/(-4)*-13 + 3*325/(-75). Suppose -3/2*r**4 + 18*r + 34*r**2 + 19/2*r**3 + z = 0. Calculate r.
-2, -2/3, 0, 9
Let a(q) be the second derivative of -q**6/15 + 3*q**5/5 + 21*q**4/2 - 40*q**3/3 - 528*q**2 - 3*q - 584. Factor a(r).
-2*(r - 11)*(r - 3)*(r + 4)**2
Let m be ((-4)/(-2))/4*(-1932)/(-322). Let o(z) be the second derivative of 0 + 1/2*z**2 + 1/24*z**4 - 2*z + 1/4*z**m. Factor o(n).
(n + 1)*(n + 2)/2
Suppose 83*j + 69*j - 902*j + 9750 = 0. Find r, given that -1/2*r**2 + j*r - 169/2 = 0.
13
Suppose -177/2*b + 3/4*b**2 - 1089/4 = 0. What is b?
-3, 121
Let x(c) be the first derivative of -16*c**5/25 + 7*c**4 - 332*c**3/15 + 74*c**2/5 + 12*c - 2082. Solve x(q) = 0.
-1/4, 1, 3, 5
Let a(c) be the second derivative of 0 - 88*c + 0*c**2 - 1/12*c**4 + 1/2*c**3. Determine l, given that a(l) = 0.
0, 3
Let l be 4*(-108)/(-192) + 3017/(-420) + 6. Suppose l*u + 2/5*u**3 + 0 - 28/15*u**2 = 0. What is u?
0, 2/3, 4
Factor 52*i**4 - 418*i + 84 + 228*i**2 - 133*i**2 - 69*i**2 - 2*i**5 + 120*i + 366*i**2 - 228*i**3.
-2*(i - 21)*(i - 2)*(i - 1)**3
Suppose 5*h - 5*i - 13 - 7 = 0, 3*i = -4*h + 9. Determine l, given that -29*l - 45*l**3 - 81*l**2 - 13*l + 7*l**4 + h*l - 10*l**4 = 0.
-13, -1, 0
Let n(l) be the first derivative of -2*l**3/39 + 475*l**2/13 - 948*l/13 - 814. Factor n(r).
-2*(r - 474)*(r - 1)/13
Let z = -150486 - -601957/4. Let 0 + z*i + 3/4*i**2 = 0. Calculate i.
-13/3, 0
Let z(d) = -26*d**2 + 106. Let w be z(-2). Find i such that 0 + 2*i**w - 1/3*i**3 - 5/3*i = 0.
0, 1, 5
Let b(p) be the first derivative of -p**3/5 - 939*p**2/5 - 3744*p/5 - 6465. Determine o, given that b(o) = 0.
-624, -2
Let i(s) be the third derivative of 13/6*s**4 + 4*s**2 + 4*s**3 + 0 + 1/30*s**6 - s + 8/15*s**5. Suppose i(d) = 0. Calculate d.
-6, -1
Let z(t) = t**3 + 13*t**2 + 22*t + 18. Let h be z(-11). Let q be 12/9 - (42/h + -3). Factor 2/7 - 2/7*f + 2/7*f**3 - 2/7*f**q.
2*(f - 1)**2*(f + 1)/7
Let r be (2/(-9))/((-8)/(-720)*-10). Let n(z) be the first derivative of 3/2*z**r + 7 + 0*z**3 - 3/4*z**4 + 0*z. Solve n(l) = 0.
-1, 0, 1
Let b(n) be the first derivative of 72 - 2*n**4 + 8/3*n**6 + 4*n + 28/5*n**5 - 4*n**2 - 32/3*n**3. Factor b(o).
4*(o - 1)*(o + 1)**3*(4*o - 1)
Factor 80/9*m + 2/9*m**2 - 82/9.
2*(m - 1)*(m + 41)/9
Let y(g) = -7*g**3 - 65*g**2 - 740*g - 1755. Let c(v) = -6*v**3 - 70*v**2 - 742*v - 1754. Let t(f) = 5*c(f) - 4*y(f). Factor t(p).
-2*(p + 5)**2*(p + 35)
Let k(w) be the first derivative of 0*w - 51 + 1/3*w**3 - 2*w**2. Factor k(i).
i*(i - 4)
Suppose -c + 34 = b, 5*c - 89 = 5*b + 81. Factor 4*f**3 - 16 + 19*f + 17*f - c*f**2 + 10*f**2.
4*(f - 4)*(f - 1)**2
Let v(x) be the first derivative of -3/5*x**2 + 14/15*x**3 - 1/2*x**4 + 0*x + 32 + 2/25*x**5. Solve v(z) = 0.
0, 1, 3
Factor 1531*s**2 - 12*s**3 + 1071*s**2 - 162505*s + 4*s**3 + 845000 - 685095*s + 6*s**3.
-2*(s - 650)**2*(s - 1)
Let f be ((-4 + 4)/(-3))/(1*(-8 + 7)). Let a(z) be the third derivative of f*z**4 + 0 + 13*z**2 + 0*z**3 - 1/240*z**5 + 0*z + 1/480*z**6. Solve a(r) = 0 for r.
0, 1
Suppose 0*z + 30 = 4*z + 30. Let i(k) be the third derivative of 1/5*k**5 + 0*k**3 + 1/10*k**6 + z + 2/105*k**7 + 1/6*k**4 + 0*k + 9*k**2. Factor i(w).
4*w*(w + 1)**3
Let u = -501 + 505. Let y(c) be the first derivative of -5/2*c**2 + 20 + 10*c - 25/3*c**3 + 3*c**5 + 5/4*c**u. Let y(s) = 0. Calculate s.
-1, 2/3, 1
Factor -14/5*q + 1/5*q**2 + 48/5.
(q - 8)*(q - 6)/5
Let c(q) be the second derivative of q**5/10 + 43*q**4/3 - 935*q**3/3 + 2400*q**2 + 144*q + 15. Determine f, given that c(f) = 0.
-96, 5
Let q(t) be the second derivative of t**5/20 + 37*t**4/3 + 960*t**3 + 10368*t**2 + 97*t - 7. Find k, given th