 2*w**2 + 4*w**y - 6*w**2 - 2*w - 12*w**4 = 0?
-1, 0
Suppose 2*g - 19 = -3*c, -3*g - 25 = 3*c - 49. Let z(d) be the first derivative of 2 - 3/20*d**4 + 3/5*d**c + 3/5*d - 9/10*d**2. Solve z(u) = 0 for u.
1
Factor 0 + 16/17*m**2 + 2/17*m**5 + 12/17*m**4 + 0*m - 30/17*m**3.
2*m**2*(m - 1)**2*(m + 8)/17
Let x(t) = -8*t**2 + 18*t - 8. Let y be x(5). Let g = 120 + y. Find p, given that -2*p**3 - 11*p**2 - 16*p + 4*p**3 + 32 + 2*p**3 + 3*p**g = 0.
-2, 2
Let k = 716 - 716. Let l(n) be the first derivative of 1 + k*n - n**3 - 9/4*n**2 + 3/8*n**4. Suppose l(p) = 0. Calculate p.
-1, 0, 3
Suppose 2*g + 273 = 3*x, -2*g + 6*g = x - 91. Let o = x + -629/7. Find y such that o + 40/7*y**2 + 36/7*y = 0.
-1/2, -2/5
Let s(t) be the first derivative of 800/3*t + 2/9*t**3 + 40/3*t**2 + 163. Factor s(k).
2*(k + 20)**2/3
Suppose -13*r + 35 = -4*j - 14*r, -3*r + 65 = -5*j. Let t be 14/90 + j/(-150). Factor -8*h - 26/9*h**3 + 32/3*h**2 + t*h**4 + 0.
2*h*(h - 6)**2*(h - 1)/9
Let h(b) = -3*b**2 - 430*b - 2968. Let c(f) = 3*f**2 + 432*f + 2967. Let d(n) = -7*c(n) - 6*h(n). What is g in d(g) = 0?
-141, -7
Find k such that 18*k - 108 - 2/3*k**2 = 0.
9, 18
Let a be 0 + ((-34)/(-85))/((-1)/(-15)). Determine s so that -94*s**2 - 14*s - 98*s**2 - a + 184*s**2 = 0.
-1, -3/4
Let k = 4609/6882 - 7/2294. Solve -2/15*s**3 - 22/15*s - k - 14/15*s**2 = 0.
-5, -1
Suppose 5*s + 3*r - 54 = 0, -s + 5 = -r - 1. Let g(v) = -3*v**2 - 4*v + 1. Let h(t) = 13*t**2 + 18*t - 4. Let w(i) = s*g(i) + 2*h(i). Solve w(j) = 0.
-1, 1
Let w = -21959 + 21959. Let g(x) be the third derivative of 1/9*x**3 + 1/120*x**5 + 1/360*x**6 - 1/18*x**4 + w*x + 0 - 1/1260*x**7 + 10*x**2. Factor g(a).
-(a - 2)*(a - 1)**2*(a + 2)/6
Let j = -93102 + 465512/5. Let -j*x**5 + 4/5*x**3 - 2/5*x**4 - 2/5 + 4/5*x**2 - 2/5*x = 0. Calculate x.
-1, 1
Let b(h) be the third derivative of 2/5*h**6 + 14*h**4 - 1 - 49/2*h**3 + 5*h**2 - 1/70*h**7 - 39/10*h**5 + 0*h. Factor b(z).
-3*(z - 7)**2*(z - 1)**2
Let o(x) be the third derivative of -7/6*x**5 + 10*x**2 + x**4 + 0*x + 2/15*x**6 + 0*x**3 + 0. Factor o(a).
2*a*(a - 4)*(8*a - 3)
Let h(n) be the second derivative of 1/4*n**2 + 1/48*n**4 + 10*n + 0 - 1/8*n**3. What is x in h(x) = 0?
1, 2
Let y(t) be the second derivative of -2*t**6/15 + 62*t**5/5 - 400*t**4/3 + 556*t**3 - 990*t**2 + 5293*t. Determine c, given that y(c) = 0.
1, 3, 55
Let n = 1278 + -778. Let j be 2*-5 - n/(-30). Factor j*t + 8/3 + 16/3*t**2 + 4/3*t**3.
4*(t + 1)**2*(t + 2)/3
Let 14*v**2 - 389824*v**4 + 46*v**2 - 192 + 389821*v**4 = 0. Calculate v.
-4, -2, 2, 4
Let r(u) be the first derivative of 25*u**4/4 - 110*u**3/3 - 1085*u**2/2 + 450*u - 3414. Factor r(t).
5*(t - 9)*(t + 5)*(5*t - 2)
Factor -136*s**2 + 0*s + 2*s**3 + 252*s**2 - 8*s - 116*s**2.
2*s*(s - 2)*(s + 2)
Suppose -36 + 45 = 3*o. Solve -63 - 540*l + 148*l**2 - 61 - 320*l**o - 868*l**2 - 11 = 0.
-3/4
Let r(t) = -2*t + 119. Let g(s) = s - 117. Let u(c) = 3*g(c) + 4*r(c). Let b be u(23). Find i such that -8*i + 1/2*i**2 + 1/2*i**3 + b = 0.
-5, 2
Let v(c) be the first derivative of c**6/21 + 16*c**5/5 - 363*c**4/14 + 1108*c**3/21 - 248*c**2/7 - 1751. Let v(o) = 0. What is o?
-62, 0, 1, 4
Let a(i) be the third derivative of -i**6/180 + 91*i**5/90 + 185*i**4/36 + 31*i**3/3 - 733*i**2. Factor a(s).
-2*(s - 93)*(s + 1)**2/3
Let c = 1552 + -1535. Let l(j) be the third derivative of 0*j + 1/20*j**5 + 0 - 1/20*j**6 + j**3 + 5/8*j**4 - c*j**2. Factor l(g).
-3*(g - 2)*(g + 1)*(2*g + 1)
Let g(t) = -2*t**3 + 20*t**2 - 168*t - 567. Let d(w) = -4*w**3 + 60*w**2 - 504*w - 1704. Let i(x) = 3*d(x) - 8*g(x). Factor i(o).
4*(o - 6)*(o + 3)*(o + 8)
Let 5*r**4 - 290*r - 82*r**2 + 50*r**3 + 25 - 29*r**2 + 31*r**2 - 68 - 122 = 0. Calculate r.
-11, -1, 3
Let w(k) be the third derivative of -k**5/100 - 173*k**4/20 - 29929*k**3/10 - 4*k**2. Factor w(p).
-3*(p + 173)**2/5
Let g(w) = 20*w**3 + 186*w**2 - 188*w + 2. Let m(a) = 209*a**3 + 1860*a**2 - 1880*a + 21. Let k(d) = 42*g(d) - 4*m(d). Factor k(n).
4*n*(n - 1)*(n + 94)
Suppose -2*u + 4*l = -4*u + 1736, 0 = l - 3. Factor 9*d**2 + u*d - 423*d - 414*d - 6.
(d + 3)*(9*d - 2)
Suppose 44 = -5*g - 3*c + 92, 39 = 2*g + 3*c. Determine v so that 10/3*v - 335/3*v**g - 25/3*v**2 + 0 - 100*v**4 = 0.
-1, -1/4, 0, 2/15
Let o be (295/22 - (-15)/((-195)/169))/((-12)/(-22)). Find k such that 33/4 - o*k**3 - 69/4*k + 39/4*k**2 = 0.
1, 11
Let s(m) be the third derivative of m**6/30 + 1409*m**5/15 + 165205*m**4/2 - 331350*m**3 + 21*m**2 + 89. Suppose s(u) = 0. What is u?
-705, 1
Suppose -32*c = 64*c + 63*c. Factor 0*o + 16/5*o**3 - 4/5*o**4 - 16/5*o**2 + c.
-4*o**2*(o - 2)**2/5
Let n be 16770/(-72)*(1859/65 - 35). Determine l so that -n*l + 486*l**5 - 112 - 19532/3*l**2 - 8838*l**3 + 2268*l**4 = 0.
-7, -2/9, 3
Let j(b) be the second derivative of 19/24*b**4 + 4*b + 7/8*b**2 - 9/8*b**3 - 11/40*b**5 + 1/40*b**6 + 1/168*b**7 + 0. Determine i so that j(i) = 0.
-7, 1
Let m = 77 - 73. Let d be (2/m)/(8/384). Let 12*f**2 + 9 + d*f + 40*f**3 + 7 - 38*f**3 = 0. What is f?
-2
Suppose -4*i - 4 = 4*p, -4*i = -3*i + 5. Let -63*v**2 - 14*v**p + 93*v + 5*v**4 + 72 + 91*v**3 + 21*v - 205*v**3 = 0. What is v?
-12, -1, -2/3, 1
Let j be 9/(-3) + (-144)/(-9). Let i = 30 - j. Let i*y**2 - 2*y - 29*y**3 + 3*y**2 + 7*y + 34*y**3 - 30 = 0. What is y?
-3, -2, 1
Let u = 43198 + -43198. Factor u + 4/21*s**3 - 2/21*s**2 + 2/21*s**4 - 4/21*s.
2*s*(s - 1)*(s + 1)*(s + 2)/21
Let f be (-53)/15*(1925/(-14) - -5). Let b = 469 - f. Factor 0 + b*t - 1/6*t**3 + 2/3*t**2.
-t*(t - 5)*(t + 1)/6
Let q(h) be the second derivative of -h**4/4 - 57*h**3/2 - 318*h**2 + 1654*h. Determine i, given that q(i) = 0.
-53, -4
Determine z, given that 1116/7*z**4 - 9754944/7*z + 102656/7*z**3 + 6644672/7 + 4/7*z**5 + 3006496/7*z**2 = 0.
-94, 1, 2
Let b = 205 - 163. Let j be b/110 + 17/(-85). Factor 0 + 2/11*i - j*i**3 + 0*i**2.
-2*i*(i - 1)*(i + 1)/11
Let h = 2/503 + 1309/50300. Let b(n) be the third derivative of 0*n - h*n**5 - 1/10*n**3 - 12*n**2 + 0 - 1/200*n**6 - 3/40*n**4. Factor b(m).
-3*(m + 1)**3/5
Let v(g) be the third derivative of g**5/90 - 43*g**4/36 - 52*g**3 - 200*g**2 - 11*g. Factor v(j).
2*(j - 52)*(j + 9)/3
Factor 22*u**2 + 71326051 + 1454*u**2 + 726192*u + 47769437 + u**3.
(u + 492)**3
Suppose -s**2 + 3*s**2 - 29211*s + 2*s**2 + 30259*s - 1052 = 0. Calculate s.
-263, 1
Suppose -10 - 1/4*s**3 - 83/4*s + 1/4*s**4 - 45/4*s**2 = 0. What is s?
-5, -1, 8
Suppose -r + 29 - 34 = 0, 3*l - 3*r = 15. Factor l - 2*s - 2*s**2 - 1/2*s**3.
-s*(s + 2)**2/2
Let -453/4*k**2 + 684 + 237/2*k - 3/4*k**3 = 0. What is k?
-152, -2, 3
Suppose -5*x = -5*s - 35, -9*x + 6*x - 14 = 4*s. What is v in 26*v**5 + 235*v**3 + 480*v - 55*v**4 - 180 - 51*v**5 - 452*v**x + 30*v**5 - 33*v**2 = 0?
1, 2, 3
Let a(p) = 5*p + 42. Let b be a(-8). Solve -3916*c**b + 0*c + 8*c**3 + 0*c + 3928*c**2 - 4*c**4 = 0.
-1, 0, 3
Suppose 0*m - 4*m + 28 = 0. Suppose v - 4*g + 11 + m = 0, -2*g = -10. Solve -4*n**v - 128 + 4*n + 128 = 0 for n.
0, 1
Let l(b) be the third derivative of 2*b**7/525 + 7*b**6/150 + 17*b**5/75 + 17*b**4/30 + 4*b**3/5 + 125*b**2. Factor l(m).
4*(m + 1)**2*(m + 2)*(m + 3)/5
What is m in -2829*m**3 + 807*m + 1400*m**2 - 2202*m + 2824*m**3 = 0?
0, 1, 279
Factor 3/2*u**3 - 39*u**2 + 1350 + 315/2*u.
3*(u - 15)**2*(u + 4)/2
Let g(o) be the second derivative of -o**4/21 - 30*o**3 - 628*o**2/7 - o + 170. Factor g(w).
-4*(w + 1)*(w + 314)/7
Let 28 + 25*u**2 + 68 - 6*u**3 + 64*u**2 + 38*u**2 - 326*u - 11*u**2 = 0. Calculate u.
1/3, 3, 16
Let c(z) = -z**4 + 61*z**3 - 1167*z**2 + 9548*z - 14520. Let g(v) = -v**4 + 61*v**3 - 1186*v**2 + 9548*v - 14520. Let l(a) = -4*c(a) + 5*g(a). Factor l(u).
-(u - 22)**2*(u - 15)*(u - 2)
Let m(k) be the first derivative of 17*k**6 - 1934*k**5/5 + 6847*k**4/2 - 14270*k**3 + 24650*k**2 + 2000*k + 816. Solve m(u) = 0.
-2/51, 4, 5
Suppose 0 = -69*k + 10708 + 3894 + 3407. Find o, given that 879/5*o - 147/5 - k*o**2 - 27/5*o**3 = 0.
-49, 1/3
Factor 905*b**3 + 523*b**2 + 89*b**2 + 124*b**2 + 148*b - 25*b**4.
-b*(b - 37)*(5*b + 2)**2
Let x be (4/(4/(-6)*(4 - 3)))/(-5). Let f = -16/5 - -17/5. Factor -9/5 - x*p - f*p**2.
-(p + 3)**2/5
Suppose 955 = -3*p - s, 337*s = 342*s - 10. Let f = p + 1596/5. Factor 169/5 - 26/5*m + f*m**2.
(m - 13)**2/5
Suppose -508 - 716 = -24*a. Let n be (-34)/(-289) - (0 + (-147)/a).