4/5*f**3 + 12/5*f**2 + 0 - 3/5*f**v = 0 for f.
0, 1, 2
Suppose -279*q + 215 + 248 = -95. Find w such that 4/5*w**4 + 8/5*w**3 + 0 - 16/5*w**q - 32/5*w = 0.
-2, 0, 2
Let y(j) = -8*j + 14. Let b be y(-2). Let 556*u**2 - 3*u**5 - 547*u**2 + 11*u**3 + 22*u**3 - 9*u**4 - b*u = 0. What is u?
-5, -1, 0, 1, 2
Solve 70 + 52*f - 96/5*f**2 - 4/5*f**3 + 2/5*f**4 = 0 for f.
-7, -1, 5
Let s(b) be the second derivative of -10/9*b**4 + 0*b**2 - 11 - 4/45*b**6 + 7/9*b**3 - b + 3/5*b**5 - 1/63*b**7. Factor s(v).
-2*v*(v - 1)**3*(v + 7)/3
Let i(g) be the third derivative of -g**5/360 - 31*g**4/24 - 961*g**3/4 - 551*g**2. Determine n so that i(n) = 0.
-93
Let x(l) be the second derivative of l**4/6 - 56*l**3/3 + 784*l**2 - 93*l. Factor x(z).
2*(z - 28)**2
Suppose 16 + 94 = 10*x. Suppose -4*s + 5*t = -2*s - x, 2*s + 2*t - 4 = 0. Factor 6*k + 32*k**3 + k**3 - 3*k + 24*k**2 + 15*k**s.
3*k*(4*k + 1)**2
Let n = -9 + 7. Let k be n/(-6) - 126/(-27). What is f in -21*f**4 + 19*f**2 - 6*f - 9*f**3 + 19*f**k + 2*f**2 - 4*f**5 = 0?
-1, 0, 2/5, 1
Suppose -5*q + w + 25 = 0, q - 21 = -9*w + 6*w. Find p, given that -10*p**3 - 1764 + 16*p**2 - 336*p - 8*p**2 + q*p**3 + p**3 + 67*p**2 = 0.
-3, 14
Suppose -9*x = -4*x - 20. Suppose -4*c = -5*t + x, -32 = -3*t - 6*c + c. Factor t*h**2 + 16 + 18 - 38.
4*(h - 1)*(h + 1)
Let i = 9655682/226305 - 2/226305. Solve -i - 2/3*s**2 - 32/3*s = 0.
-8
Solve -1803 - 4965*q + 850*q**2 + 1246*q**3 - 714*q**3 + 9183 - 537*q**3 = 0.
3, 164
Let u = 91877/12 - 7656. Let g(n) be the third derivative of -1/24*n**5 + 0*n + 4*n**2 + u*n**4 + 0 + 0*n**3 - 1/96*n**6. Find w, given that g(w) = 0.
-4, 0, 2
Let p(q) be the third derivative of q**6/12 + 19*q**5/12 - 1075*q**4/24 - 280*q**3/3 + 22*q**2 - 18. Factor p(t).
5*(t - 7)*(t + 16)*(2*t + 1)
Let v(p) = -p**3 - 168*p**2 + 3142*p - 553. Let b be v(-185). Solve 0 - 3/7*n**b + 9/7*n = 0.
0, 3
Suppose -67*s = 161*s - 48*s - 360. Find q such that -2/23*q**s + 14/23*q + 16/23 = 0.
-1, 8
Let m(y) be the first derivative of -2*y**3/9 + 20*y**2 - 118*y/3 - 2379. Suppose m(c) = 0. Calculate c.
1, 59
Let o(y) be the third derivative of -y**8/2688 - y**7/1680 + y**6/720 + 91*y**4/24 + 29*y**2 + 2*y. Let z(c) be the second derivative of o(c). Factor z(b).
-b*(b + 1)*(5*b - 2)/2
Let d(s) = s**2 + 7*s + 2. Let l be d(-7). Suppose l*o + 6 = 14. Factor -4*p**4 - 63*p**5 + 2*p**o + 61*p**5.
-2*p**4*(p + 1)
Factor -3/2*s**4 + 3/2*s**3 - 3/2*s + 0 + 3/2*s**2.
-3*s*(s - 1)**2*(s + 1)/2
Let r = 26125/34812 - 4/8703. Suppose 3/4 - 3/2*b + r*b**2 = 0. What is b?
1
Let o(y) = -y**2 - 7*y + 11. Let j be ((-192)/(-80))/(13/(-10) - -1). Let w be o(j). Factor 4*p**2 + 12*p - 1 - w*p**3 - 11 + 0*p**2 - p**2.
-3*(p - 2)*(p - 1)*(p + 2)
Let b(l) be the second derivative of -l**7/315 + 4*l**6/75 + 2*l**5/25 - 217*l**4/45 + 263*l**3/15 - 126*l**2/5 + 1148*l + 2. Suppose b(p) = 0. What is p?
-6, 1, 7, 9
Let a be 95756/111 - 2/(-6). Let k = 865 - a. Factor -2*l + 147/8*l**3 - 35/8*l**k + 1/2.
(3*l + 1)*(7*l - 2)**2/8
Let w = -217 - -220. Suppose 32*u**3 - 5*u**4 + 4*u - 19*u**w + u**4 - 17*u**3 + 4*u**2 = 0. What is u?
-1, 0, 1
Let l(o) be the first derivative of -o**6/21 - 18*o**5/35 + 3*o**4/2 + 70*o**3/3 + 1826. Suppose l(t) = 0. Calculate t.
-7, 0, 5
Let r be (-5 + 1)/(84/(-189)). Find q, given that r*q - 1656*q**3 - 15*q**2 + 9*q + 1653*q**3 = 0.
-6, 0, 1
Let t(o) = o - 9. Let i be t(11). Let q = 170 - -502. Factor -683*w - 6 - 6*w**i + q*w - w**3 + 0.
-(w + 1)*(w + 2)*(w + 3)
Let d(z) be the third derivative of z**7/70 - 7*z**6/10 + 53*z**5/20 - 13*z**4/4 - 2121*z**2. Factor d(n).
3*n*(n - 26)*(n - 1)**2
Factor -15*t**4 + 51*t**4 - 27*t**4 - 17*t**4 - 1952956 + 6376020*t - 14280*t**3 + 358058 - 6365306*t**2.
-2*(t + 893)**2*(2*t - 1)**2
Let a be 613410/(-5080)*2/(-23). Determine w, given that 3/4*w**4 + 11/4*w**3 - a*w**2 + 6 + w = 0.
-6, -2/3, 1, 2
Let r(z) be the second derivative of 0*z**6 + 0*z**3 + 0 + 1/294*z**7 + 0*z**2 - 1/42*z**4 - 3/140*z**5 - 210*z. Factor r(y).
y**2*(y - 2)*(y + 1)**2/7
Let v(x) be the third derivative of 17/16*x**4 + 0*x - 1/5*x**5 + 1/80*x**6 + 0 + 36*x**2 - 5/2*x**3. Find a such that v(a) = 0.
1, 2, 5
Let k(w) be the second derivative of w**6/8 - 9*w**5/5 + 45*w**4/16 + 73*w**3/4 + 18*w**2 - 3*w - 42. Determine o, given that k(o) = 0.
-1, -2/5, 3, 8
Let a(j) be the first derivative of -j**6/9 - 2*j**5/15 + 55*j**4/3 - 1076*j**3/9 + 755*j**2/3 - 650*j/3 + 1128. Solve a(c) = 0.
-13, 1, 5
Let c(v) be the second derivative of 0*v**2 - 36/5*v**6 + 1 - 8*v**4 - 8/3*v**3 - 9*v - 27/14*v**7 - 54/5*v**5. Factor c(y).
-y*(3*y + 2)**4
Let t = 109547/27 + -4057. Let w(x) be the first derivative of 4/9*x + t*x**3 + 9 - 1/18*x**4 - 5/9*x**2. Let w(v) = 0. Calculate v.
1, 2
Let g(m) = -m**2 - 1561*m + 4692. Let r be g(3). What is j in 4/3*j - 2/9*j**3 - 2/9*j**2 + r = 0?
-3, 0, 2
Let b(f) be the second derivative of -17*f**5/40 + 287*f**4/24 - 119*f**3/3 - 15*f**2 + 2*f + 1206. Determine u so that b(u) = 0.
-2/17, 2, 15
Factor 3/4*g**2 + 150 + 99/4*g.
3*(g + 8)*(g + 25)/4
What is z in 717 - 3582/5*z - 3/5*z**2 = 0?
-1195, 1
Let y be 2/9 + 39/189. Suppose 2*g = 2*h + 73 - 67, 0 = -g + 5*h + 7. Find z, given that 0 - 6/7*z**3 + y*z**g + 0*z + 3/7*z**4 = 0.
0, 1
Suppose -j - 5*j = -324. Let y = -52 + j. Factor 4*b**2 - 6 - 10 - y*b**3 + 16.
-2*b**2*(b - 2)
Let l(v) be the third derivative of v**7/70 - 39*v**6/20 + 441*v**5/20 - 81*v**4 - 2*v**2 + 138*v - 1. Determine m, given that l(m) = 0.
0, 3, 72
Let b(r) be the second derivative of 1/147*r**7 + 1 - 11/70*r**5 - 9*r + 1/7*r**4 + 0*r**2 + 0*r**3 + 4/105*r**6. Factor b(k).
2*k**2*(k - 1)**2*(k + 6)/7
Suppose 0 = -z + 9 - 7. Suppose -2*s + 3*w + 2*w = 6, 5*s - 14 = -z*w. Solve -6/11*c**3 + 10/11*c**s + 6/11*c - 8/11*c**4 - 2/11 = 0.
-1, 1/4, 1
Let v be (5571/(-6))/((-30)/40). Determine p so that -v*p + 1226*p + 2*p**2 - 32 + 0*p**2 = 0.
-2, 8
Let y(c) be the second derivative of -5/2*c**4 - 15/2*c**2 + 27/4*c**3 + 9/40*c**5 - 16*c + 0. Factor y(s).
3*(s - 5)*(s - 1)*(3*s - 2)/2
Let g(s) be the first derivative of -6 - 11/2*s**2 + 0*s + 1/90*s**4 + 1/900*s**6 + 0*s**3 - 1/150*s**5. Let i(a) be the second derivative of g(a). Factor i(n).
2*n*(n - 2)*(n - 1)/15
Let c be 18/10 + -2 + (-48)/(-15). Suppose c*z + 0*z = 6. Solve -2*g + 2*g**2 + 56*g**3 - 112*g**3 - z*g**4 + 58*g**3 = 0 for g.
-1, 0, 1
Let h(k) be the second derivative of k**6/150 + 3*k**5/20 - 113*k**4/60 - 89*k**3/10 - 14*k**2 + 272*k + 3. Solve h(q) = 0 for q.
-20, -1, 7
Determine k, given that 6*k**2 - 2/7*k**3 - 88/7 + 48/7*k = 0.
-2, 1, 22
Let -31/4 - 91/2*o**2 - 27/4*o**4 + 123/4*o + 59/2*o**3 - 1/4*o**5 = 0. What is o?
-31, 1
Let f(q) be the third derivative of q**8/1344 - q**7/252 + q**4/6 - 59*q**2. Let p(r) be the second derivative of f(r). Find u such that p(u) = 0.
0, 2
Let t(v) = -4*v**2 + 26*v - 9. Let a be t(6). Factor -55*x**2 - 12083*x**3 - 4*x**4 + 12048*x**a - x**4 - 3*x - 22*x.
-5*x*(x + 1)**2*(x + 5)
Let w(u) be the third derivative of 11*u**5/90 + 27*u**4/4 + 22*u**3/9 - 1358*u**2. Solve w(n) = 0.
-22, -1/11
Let t(r) be the third derivative of -42*r**2 + 128*r**3 + 16*r**4 + 0 + 1/40*r**6 + 0*r + r**5. Factor t(o).
3*(o + 4)*(o + 8)**2
Let y(w) be the first derivative of 3*w**4/8 - 43*w**3/4 + 15*w**2/2 + 63*w/4 + 200. Factor y(a).
3*(a - 21)*(a - 1)*(2*a + 1)/4
Let b(s) be the first derivative of 0*s + 1/2*s**2 + 9*s**3 - 20 - 1/40*s**6 + 3/8*s**4 - 1/5*s**5. Let d(z) be the second derivative of b(z). Factor d(n).
-3*(n - 2)*(n + 3)**2
Let s = -60 + 69. Let w = s - -2. Find t, given that -3*t**2 - 5 - 4 + 8*t**2 - w = 0.
-2, 2
Let w(q) be the first derivative of q**6/45 - q**5/30 - q**4/6 + q**3/9 + 2*q**2/3 + 2*q - 35. Let v(a) be the first derivative of w(a). Factor v(h).
2*(h - 2)*(h - 1)*(h + 1)**2/3
Suppose 159 = 11*t - 1557. Suppose t - 8 = 37*j. Determine a, given that 0*a**3 + 3/4*a**5 + 0*a - 3*a**2 + 9/4*a**j + 0 = 0.
-2, 0, 1
Let j(s) be the second derivative of -9*s**4/4 - 53*s**3/6 + s**2 + 1011*s. Suppose j(b) = 0. What is b?
-2, 1/27
Let r(m) be the first derivative of 6*m**3 - 255*m**2/2 - 225*m + 1844. Suppose r(c) = 0. What is c?
-5/6, 15
Suppose 3*d - 2*u = -2795, u = -2*u - 15. Let h = -935 - d. Find v, given that 2/7*v**5 + 0 + 0*v**3 + 0*v**2 + h*v + 8/7*v**4 = 0.