+ w*b = 0?
1, 4
Factor 1/8*o**3 - 1/2*o**2 - 25/8*o + 7/2.
(o - 7)*(o - 1)*(o + 4)/8
Suppose 6*h + 72 = 36*v - 33*v, 2*v + h = -7. Factor 12/5 + 9/5*c - 3/5*c**v.
-3*(c - 4)*(c + 1)/5
Let c(a) = a**3 - 10*a**2 + 10*a - 62. Let j be c(10). Suppose -40*s + j*s + 8 = 0. Let -5/3*q**s + 1/3*q + 23/3*q**3 - 25/3*q**2 + 2 = 0. Calculate q.
-2/5, 1, 3
Determine r, given that -564*r - 73 + 361 - 2205*r**4 + 244*r**2 + 2202*r**4 + 92*r**2 - 57*r**3 = 0.
-24, 1, 2
Suppose 17*h - 123*h + 298 = 43*h. Factor 0 + 38/11*y**3 + 162/11*y - 18*y**h - 2/11*y**4.
-2*y*(y - 9)**2*(y - 1)/11
Let p(v) be the third derivative of -v**5/60 - 167*v**4/12 - 27889*v**3/6 + 1159*v**2. Factor p(a).
-(a + 167)**2
Let n(z) = 3*z**2 - 2. Let j(w) = 2*w**4 + 224*w**3 - 756*w**2 + 8*w + 964. Let i(y) = 2*j(y) + 44*n(y). Factor i(m).
4*(m - 2)**2*(m + 1)*(m + 115)
Let i(a) = 2*a**3 + 988*a**4 - 986*a**4 - a - 1 + a**2 - 3*a**3. Let d(b) = 15*b**4 - 35*b**3 - 40*b**2 + 65*b - 5. Let j(v) = d(v) - 5*i(v). Factor j(k).
5*k*(k - 7)*(k - 1)*(k + 2)
Let i be (-1)/(8/(-5)) - 474/1264. What is m in 0 - 1/8*m + 3/8*m**3 + i*m**2 = 0?
-1, 0, 1/3
Let t(c) be the third derivative of c**7/630 + 61*c**6/5 + 200934*c**5/5 + 73541844*c**4 + 80748944712*c**3 - 582*c**2. Determine g so that t(g) = 0.
-1098
Let f(h) be the second derivative of -h**5/10 + 17*h**4/6 - 14*h**3 - 1406*h. Solve f(r) = 0 for r.
0, 3, 14
Let b(k) be the first derivative of -k**4/20 + 39*k**3/5 - 3591*k**2/10 + 9747*k/5 - 488. Factor b(m).
-(m - 57)**2*(m - 3)/5
Let u = 376877/847953 + -1/94217. Suppose -u*f**5 - 14/9*f**4 + 0 + 2/3*f + 14/9*f**2 - 2/9*f**3 = 0. Calculate f.
-3, -1, -1/2, 0, 1
Let h(l) be the first derivative of l**3/6 - 379*l**2/4 + 1628. Factor h(d).
d*(d - 379)/2
Suppose -224 = -2*k - 2*p, -2*p + 469 = 4*k + 25. Solve 12*u**3 + 4*u**4 - 12*u**3 - k*u**2 + 16*u + 48 + 74*u**2 = 0 for u.
-3, -1, 2
Suppose 157*h + 826*h - 3932 = 0. Factor -5/2*k**2 + 1/8*k**5 - 7/8*k**3 - 3/2*k + 0 + 1/4*k**h.
k*(k - 3)*(k + 1)*(k + 2)**2/8
Let a(d) be the second derivative of d**6/270 + 11*d**5/36 + 182*d**4/27 - 392*d**3/27 + 1949*d. Factor a(r).
r*(r - 1)*(r + 28)**2/9
Let n(h) be the second derivative of -3*h**5/20 - 209*h**4/4 - 10815*h**3/2 + 33075*h**2/2 - 500*h. Let n(o) = 0. What is o?
-105, 1
Let q(z) = -8*z + 8. Let c be q(1). Suppose c*p + 5*l - 16 = 3*p, -18 = -p - 3*l. Determine g so that -g**p + 6*g**2 - 77 - 12*g - 83 + 168 = 0.
2
Factor 1938*s**2 - 27436 + 165*s**3 + 174*s**3 - 449*s**3 + 2*s**4 - 9386*s.
2*(s - 19)**3*(s + 2)
Let w = 19 - 16. Let v = 835052/19 - 43948. What is f in 6*f**2 + 128/19*f + v + 18/19*f**w = 0?
-5, -2/3
Let a(j) be the first derivative of 3*j**4/28 + j**3/7 - 243*j**2/14 - 243*j/7 + 2243. Factor a(v).
3*(v - 9)*(v + 1)*(v + 9)/7
Factor -969/2*l + 3*l**3 + 108 + 837/4*l**2.
3*(l - 2)*(l + 72)*(4*l - 1)/4
Let i be 11/(-33)*6*(-27)/120. Let y(s) be the second derivative of 0*s**4 + 10*s + 0 + 1/10*s**6 + 0*s**2 - i*s**5 + 0*s**3. Factor y(c).
3*c**3*(c - 3)
Let h(u) = u**2 + u. Let l be h(-2). Let z be (-1)/(((-15)/(-12))/5) + 42 + (-8848)/392. Factor 36/7*a - z - 3/7*a**l.
-3*(a - 6)**2/7
Let q(s) be the third derivative of 5*s**4/24 + 11*s**3/6 - 28*s**2. Let a be q(2). Solve 6 + 3*o**2 + 12*o + 7 - a + 20 = 0.
-2
Let w(v) be the first derivative of v**5/5 + 3*v**4/4 - 2*v**3/3 - 6*v**2 - 8*v + 2705. Let w(u) = 0. What is u?
-2, -1, 2
Let k(t) be the second derivative of -7/3*t**4 + 0*t**2 + 9 + 3*t - 2/3*t**3 - 2/3*t**6 - 11/5*t**5. Factor k(w).
-4*w*(w + 1)**2*(5*w + 1)
Suppose 71 + 33 = 26*n. Determine w so that -w**5 - 5705*w**4 - 12*w**2 + 25*w**3 + 5700*w**4 - n*w**5 - 3*w**2 = 0.
-3, 0, 1
Factor -15*v**4 - 34*v**4 - 492*v + 203*v**3 + 72 - 28*v**3 - 5329*v**2 + 6123*v**2.
-(v - 6)*(v + 3)*(7*v - 2)**2
Factor 2*v**4 + 5766 + 768*v**2 - 142*v**3 + 529*v**2 + 31*v**3 - 175*v**2 + 12121*v.
(v - 31)**2*(v + 6)*(2*v + 1)
What is r in -48/5*r**4 + 32/5*r**3 - 36/5*r - 88/5 + 4/5*r**5 + 136/5*r**2 = 0?
-1, 1, 2, 11
Let 0 + 96/5*w**2 - 36/5*w + 57/5*w**3 = 0. What is w?
-2, 0, 6/19
Let o(f) be the second derivative of f**5/45 - 2014*f**4/9 + 8112392*f**3/9 - 16338357488*f**2/9 + 11855*f. Factor o(s).
4*(s - 2014)**3/9
Let l(i) = 8*i**2 - 701*i - 2715. Let m(t) = -5*t**2 + 350*t + 1356. Let c(s) = -4*l(s) - 7*m(s). Factor c(j).
3*(j + 4)*(j + 114)
Let o be ((-926)/2315)/(14/(-220)). Find m such that -o*m**3 + 4/21*m + 22/21*m**2 + 26/3*m**4 + 0 - 76/21*m**5 = 0.
-2/19, 0, 1/2, 1
Let a(i) be the second derivative of -13/60*i**4 + 3/100*i**5 - 139*i + 13/30*i**3 + 0 - 3/10*i**2. Let a(l) = 0. What is l?
1/3, 1, 3
Let o(m) be the third derivative of m**7/945 - m**6/27 + 77*m**5/270 - 11*m**4/54 - 40*m**3/9 - m**2 + 1655*m. Determine h so that o(h) = 0.
-1, 2, 4, 15
Let p be (-9)/6*164*6 + -6. Let a = p + 1485. Determine i so that 1/2*i**5 + 0*i**4 + i**2 + 0 + 0*i - 3/2*i**a = 0.
-2, 0, 1
Factor 3/2*l**2 + 3735126 - 4734*l.
3*(l - 1578)**2/2
Factor -531 - 105/8*u + 3/8*u**2.
3*(u - 59)*(u + 24)/8
Let y(t) be the third derivative of -t**6/600 + 48*t**5/25 - 383*t**4/40 + 287*t**3/15 - t**2 + 41*t. Determine x, given that y(x) = 0.
1, 574
Let p(h) = h**3 + 7*h**2 + 7*h + 8. Let s be p(-6). Let i(d) = 4*d**2 + 3*d. Let o be i(s). Factor -o + 2*m**4 + 22 + m**2 - 3*m**4.
-m**2*(m - 1)*(m + 1)
Suppose 10 = 5*k + 5*m, -m + 3*m = 2*k - 16. Suppose 5*h + 3*w - 29 = 6*w, k*w - 10 = 0. What is d in 2*d**4 + 4*d**3 - 4*d - 7*d**4 + h*d**4 - 2 = 0?
-1, 1
Let r(b) = 9*b - 2 - 5 + b**2 - 8*b**3 + 10 - 2*b**2. Let d(z) = 14*z**3 + 3*z**2 - 17*z - 5. Let t(n) = 3*d(n) + 5*r(n). Factor t(i).
2*i*(i - 1)*(i + 3)
Let u(t) = -t**3 + 4*t**2 - 2*t + 1. Suppose 0 = l - 6 + 3. Let y be u(l). Let -2*b**5 + 18*b**4 + b**3 - b**5 + 2*b**2 - 22*b**y = 0. What is b?
-1, 0, 2/3
Let w(g) be the second derivative of -g**4/6 - 874*g**3 - 1718721*g**2 + 4*g - 313. Factor w(i).
-2*(i + 1311)**2
Let 48/5 - 840*p**2 + 132*p + 1125*p**3 = 0. Calculate p.
-4/75, 2/5
Suppose -3*r + 20 = -10. Suppose -r*j = -9*j - 2. Suppose 4*s - s + s**3 - 3*s**3 + 6*s**j + 5*s = 0. Calculate s.
-1, 0, 4
Let u(v) = -15*v**4 + 25*v**3 + 35*v**2 - 75*v + 125. Let s(p) = 7*p**4 - 12*p**3 - 17*p**2 + 38*p - 54. Let d(t) = 5*s(t) + 2*u(t). Solve d(l) = 0 for l.
-2, 1, 2
Let b(f) be the third derivative of 1/40*f**6 - 1/20*f**5 - 34*f**2 + 1/210*f**7 - f**3 - 11/24*f**4 + 0*f - 2. Suppose b(n) = 0. What is n?
-3, -1, 2
Let u(t) be the third derivative of t**8/151200 + t**7/3780 + t**6/600 + 13*t**5/60 + 57*t**2. Let c(g) be the third derivative of u(g). Factor c(l).
2*(l + 1)*(l + 9)/15
Let l(v) be the first derivative of 2*v**3/33 + 4*v**2/11 - 24*v/11 + 529. Let l(s) = 0. What is s?
-6, 2
Let j(t) be the second derivative of -3/4*t**5 + 1/10*t**6 + 9/2*t**3 + 3/4*t**4 + 0*t**2 + 80*t + 0. Let j(y) = 0. What is y?
-1, 0, 3
What is h in -590*h + 5*h**3 - 575*h**2 + 0*h**3 + 396890 - 395730 = 0?
-2, 1, 116
Factor -391 - 3*h**2 - 85*h + 367 + 3*h**3 + 55*h.
3*(h - 4)*(h + 1)*(h + 2)
Let r(x) be the second derivative of -x**6/40 + 39*x**5/40 - 159*x**4/16 - 13*x**3/4 + 60*x**2 + 1051*x. Solve r(u) = 0.
-1, 1, 10, 16
Factor 66*a - 121*a - 2*a**2 + 34*a + 75*a.
-2*a*(a - 27)
Suppose -2*l - 7*l = -1170. Suppose 3*v - 4*b - 365 = 0, 3*b - 136 = -2*v + l. Factor v*q**4 - 60*q**4 - 57*q**4 - 15*q**5.
-5*q**4*(3*q - 2)
Let g = 1866 - 1866. Let k(b) be the third derivative of 0*b**3 - 14*b**2 - 1/210*b**5 + 1/84*b**4 + 0*b + g. Suppose k(w) = 0. Calculate w.
0, 1
Let l(n) be the first derivative of 5*n**9/1008 + 11*n**8/280 + n**7/35 - 58*n**3/3 - 31. Let f(z) be the third derivative of l(z). What is s in f(s) = 0?
-4, -2/5, 0
Suppose -3*c + 4*c = 10. Suppose 2*b + 2*o = c, -5*b + b + 16 = 2*o. Factor 5*v**2 - 3*v**b - 11*v**2 - 21*v - 9*v**2 - 9.
-3*(v + 1)**2*(v + 3)
Let y = 762 - 768. Let t be ((-1068)/(-90))/2 - (-1 - y). Let -t*z**2 + 0 + 4/5*z + 2/15*z**3 = 0. What is z?
0, 1, 6
What is x in 5/2*x**3 - 10*x**4 + 95/3*x**2 - 5/6*x**5 + 0 + 20*x = 0?
-12, -1, 0, 2
Let g(v) be the second derivative of -3*v**5/20 - 39*v**4/4 + 41*v**3 - 7808*v. Factor g(y).
-3*y*(y - 2)*(y + 41)
Factor 11/4*s + 13/4*s**3 + 23/4*s**2 + 1/4*s**4 + 0.
s*(s + 1)**2*(s + 11)/4
What is y in -125977689 + 522729*y + 1/3*y**3 - 723*y**2 = 0?
723
Let v(j) = j**2 - 4*j - 136. L