3/10 - 7*a**2 + 186*a. Factor o(y).
-(y - 61)*(y - 3)/5
Let n(z) = -10*z**2 + 1080*z + 1153. Let w(p) = -p**2 + 108*p + 115. Let j(i) = -4*n(i) + 42*w(i). Solve j(v) = 0 for v.
-1, 109
Let p(s) be the second derivative of s**4/6 + 47*s**3/3 - 150*s**2 + 368*s + 2. Factor p(n).
2*(n - 3)*(n + 50)
Let z(o) = -4*o**3 - 2*o**2 + 5*o + 6. Let a be z(-1). Suppose 8 + 480*q**5 - 396*q**a + 56*q - 184*q**4 + 32*q**2 + q + 3*q = 0. Calculate q.
-2/3, -1/4, -1/5, 1/2, 1
Let z be ((3/(-450))/((-6)/15))/(18 + -3). Let h(m) be the third derivative of 0 - z*m**6 + 0*m + 2*m**2 + 0*m**3 - 2/45*m**5 - 5/9*m**4. Factor h(o).
-2*o*(o + 10)**2/15
Let q = -33491/4 + 8373. Let l(f) be the second derivative of -q*f**4 - 1/60*f**6 - 1/8*f**5 + 7*f + 0 + 1/3*f**3 + 2*f**2. Find u, given that l(u) = 0.
-2, 1
Let u(b) be the first derivative of 4*b**3/15 - 144*b**2/5 - 1872*b/5 + 337. Solve u(x) = 0 for x.
-6, 78
Let t(r) = -r**3 - r + 5. Let h(q) = -44*q**3 - 808*q**2 - 41640*q - 79800. Let c(x) = h(x) - 40*t(x). Factor c(f).
-4*(f + 2)*(f + 100)**2
Let g(b) be the third derivative of -b**6/1260 + b**5/840 - 35*b**3/6 + 20*b**2. Let q(h) be the first derivative of g(h). Solve q(t) = 0.
0, 1/2
Let f(d) be the third derivative of -5*d**5 + 65/3*d**4 + 0*d + 7/12*d**6 - 1/42*d**7 + 0 - 160/3*d**3 + 102*d**2. Find m such that f(m) = 0.
2, 8
Let c be 11/22*(0 + 8). Let y(x) = x + 8. Let l be y(-4). Factor 0*q**c - 7*q**3 + 2*q**3 + l*q**4 + 9*q**3.
4*q**3*(q + 1)
Let p(d) = 2*d**3 - 10*d**2 + 69*d + 51. Let f(j) = -2*j**2 - 7*j + 1. Let o(a) = 5*f(a) + p(a). Factor o(x).
2*(x - 7)*(x - 4)*(x + 1)
Let k = 20908 - 62723/3. Determine q, given that -k*q**2 - q**3 + 0 - 1/3*q**5 + 0*q - q**4 = 0.
-1, 0
Let h(s) be the second derivative of s**5/240 - s**4/96 - s**3/12 - 69*s**2/2 - 60*s. Let g(i) be the first derivative of h(i). Factor g(b).
(b - 2)*(b + 1)/4
Let c(n) = 3*n. Suppose 4*u = 3*w - 7 - 1, 2 = 2*u. Let m be c(w). Suppose -16*v**4 + m*v**2 + v**4 - 7*v**2 - 15*v**3 - 5*v**4 = 0. Calculate v.
-1, 0, 1/4
Let 205/3*p**2 + 100/3 - 35/3*p**5 + 280/3*p - 65/3*p**3 - 125/3*p**4 = 0. Calculate p.
-2, -1, 10/7
Suppose -86 = 5*b - 101. Suppose 4*p + b*z = 55, 3*p + 2*z = -p + 50. Factor -y**4 + 4*y - p*y**2 - y**4 + 8*y**3 + 0*y**4.
-2*y*(y - 2)*(y - 1)**2
Suppose -2*w + c = w - 50, 3*w - 70 = -4*c. Suppose -3*g - w = -5*g. Factor -2 + g*j**3 - 9*j + 0 + 34*j**4 - 8*j**2 + 21*j**2 - 45*j**4.
-(j - 1)**2*(j + 1)*(11*j + 2)
Let t(v) be the first derivative of 2*v**5/5 + 5*v**4/2 - 50*v**3/3 - 125*v**2 - 2350. Find c such that t(c) = 0.
-5, 0, 5
Let 92467 + 102608 - 1608*x + 3*x**2 + 78*x = 0. What is x?
255
Suppose -8833 + 2301 = -3680*m - 894 + 9082. Determine r so that -1127/2*r - 1/6*r**5 - 47*r**3 - 1029/2 - 9/2*r**m - 707/3*r**2 = 0.
-7, -3
Let s(f) be the second derivative of -3*f**5/160 - 773*f**4/32 - 18721*f**3/2 - 111747*f**2/4 + 166*f + 3. Suppose s(p) = 0. What is p?
-386, -1
Find g, given that 4 + 170*g**3 - 169*g**3 + 3*g**2 - 3 + 6 - 9*g - 2 = 0.
-5, 1
Let a(j) be the third derivative of 26*j**2 + 1/135*j**6 - 1/1512*j**8 + 0*j**4 + 0 + 0*j**3 + 0*j**7 + 0*j + 0*j**5. Factor a(h).
-2*h**3*(h - 2)*(h + 2)/9
Let u(s) be the second derivative of s**5/80 - 7*s**4/32 + 3*s**3/4 + 16*s**2 + 55*s - 1. Let n(f) be the first derivative of u(f). What is y in n(y) = 0?
1, 6
Solve -524*h**3 - 37*h - 2*h**4 + 124*h - 87*h = 0 for h.
-262, 0
Let h = 40630 + -121889/3. Let y(l) be the second derivative of -h*l**4 - 3 + 2/3*l**3 + 4*l + 0*l**2. Factor y(i).
-4*i*(i - 1)
Let n(r) be the second derivative of r**9/3024 - r**8/840 + r**3/6 + 7*r**2/2 - 53*r. Let h(l) be the second derivative of n(l). Factor h(p).
p**4*(p - 2)
Let k(y) = -168*y**2 + 1232*y - 1016. Let w(i) = -67*i**2 + 493*i - 406. Let h(n) = -5*k(n) + 12*w(n). What is z in h(z) = 0?
1, 52/9
Suppose -3*q - 720 = -18*q. Solve 6*l**4 - 14*l**3 + q*l**2 + 12*l**4 + 14 - 28*l**3 - 3*l**5 - 8 - 27*l = 0 for l.
1, 2
Let c(z) be the first derivative of 3*z**4/10 + 139*z**3/5 - 537*z**2/5 + 432*z/5 - 425. Let c(v) = 0. What is v?
-72, 1/2, 2
Let -2/5*p**2 + 172 + 426/5*p = 0. What is p?
-2, 215
Let d(h) = 8*h**3 + 9*h**2 - 27*h + 29. Let b(c) = 10*c - 10*c**3 + 12*c + 13 + 4*c - 8*c**2 - 43. Let z(r) = 5*b(r) + 6*d(r). Factor z(t).
-2*(t - 3)*(t - 2)**2
Let k be (-2)/17*(-15)/5*(-1)/(-9). Let y(u) be the first derivative of -15 + 18/85*u**5 + 0*u**2 + 3/17*u**4 + 0*u + k*u**3. Determine t so that y(t) = 0.
-1/3, 0
Let q(a) be the second derivative of -5*a**7/7 - 49*a**6/6 - 14*a**5 + 230*a**4/3 + 800*a**3/3 + 120*a**2 + 1473*a. Solve q(x) = 0 for x.
-6, -2, -1/6, 2
Suppose 0 = c + 17 + 3. Let f(j) = j**3 + 22*j**2 + 37*j - 52. Let w be f(c). Find s such that w - 4/3*s**2 + 20/3*s = 0.
-1, 6
Let z(k) be the first derivative of 5/7*k**3 - 9/28*k**4 - 3/7*k**5 + 6/7*k**2 + 62 - 1/14*k**6 + 0*k. Solve z(t) = 0.
-4, -1, 0, 1
Let c(j) be the second derivative of -5/2*j**2 - 51*j + 0 - 2/3*j**3 + 1/12*j**4. Determine o, given that c(o) = 0.
-1, 5
Suppose -5 = -j - 2*f, 5*j + 5*f = 7*f + 85. Suppose 15*l - 18 + j*l**2 - 2*l**3 - 13*l**3 + 0*l**4 + 3*l**4 = 0. Calculate l.
-1, 1, 2, 3
Let t(z) be the second derivative of 8/5*z**6 + 68*z**3 + 102/5*z**5 + 24*z**2 + 321/4*z**4 + 17*z - 1. Factor t(d).
3*(d + 4)**2*(4*d + 1)**2
Factor -188*r**2 + 2*r**4 + 68*r**3 + 114*r**2 + 0 - 148*r**2 + 0.
2*r**2*(r - 3)*(r + 37)
Let k = 489 - 482. Find a such that -k - 10 + 2*a**2 - 1 + a**2 - 27*a - 12 = 0.
-1, 10
Factor -6128/3*o**2 + 32/3*o**5 - 682*o - 256/3 - 1344*o**4 - 8144/3*o**3.
2*(o - 128)*(2*o + 1)**4/3
Factor 141 - 180*a**2 - 1944*a**3 + 3788*a**3 - 4*a**4 - 1896*a**3 + 100*a + 859.
-4*(a - 2)*(a + 5)**3
Let 112*u**2 - 53*u + 116*u**3 - 15*u + 16*u**4 - 180 - 4*u**5 + 52 - 44*u = 0. What is u?
-2, -1, 1, 8
Suppose -32 + 354 = 7*j. Let v be j/8 - 1/(-4). Suppose -v*c + 7*c**3 - 28*c**3 + 0*c - 27*c**2 + 0*c = 0. Calculate c.
-1, -2/7, 0
Solve -28/11*k**4 - 2/11*k**5 - 48/11*k**3 + 0*k + 0 + 0*k**2 = 0 for k.
-12, -2, 0
Let y = 8 - 4. Let j = 21125/6 + -147851/42. Suppose -j + 4/7*k**2 - 2/7*k**5 + 0*k**y + 8/7*k**3 - 6/7*k = 0. Calculate k.
-1, 1, 2
Suppose -27*i + 48 + 6 = 0. Let -3883*b**3 + 3885*b**3 + 32*b - 6*b**i - 14*b**2 = 0. What is b?
0, 2, 8
Let z be ((-165)/(-22))/3 - 21/10 - (-2)/20. Determine q, given that -441/8 - 2111/4*q**2 - 537/2*q**3 - 177/8*q**4 - 336*q - z*q**5 = 0.
-21, -1, -1/4
Let z be (-10)/(-40)*24/(-6). Let l be -1 + 1 - (z - (-4 - -4)). Factor -13/2*v - l + 15/2*v**2.
(v - 1)*(15*v + 2)/2
Let u(a) be the second derivative of -5*a**4/72 - 343*a**3/18 + 691*a**2/12 + 11208*a. Suppose u(s) = 0. Calculate s.
-691/5, 1
Find b such that 228 - 21*b**5 - 900*b + 123*b**2 + 921*b**3 + 256*b**4 - 364*b**4 - 243*b**4 = 0.
-19, -1, 2/7, 1, 2
Let p be -18*40/(-108) - (1 + 12) - -13. Let -2*q**4 - 2/3*q**2 + 0 + p*q**3 - 4*q = 0. What is q?
-2/3, 0, 1, 3
Let u(h) be the third derivative of -25*h**8/1008 + 43*h**7/21 + 929*h**6/72 + 55*h**5/6 - 107*h**2 - h - 2. Let u(p) = 0. Calculate p.
-3, -2/5, 0, 55
Let 6*t**2 - t**3 - 16*t**5 + 20*t**4 - 24*t**4 + 0*t**2 + 15*t**5 = 0. Calculate t.
-3, -2, 0, 1
Let 162*p**2 + 107/2 - 55*p**3 + 1/2*p**4 - 161*p = 0. What is p?
1, 107
Let o(n) = 7*n**4 + 1041*n**3 - 3917*n**2 + 1971*n + 906. Let w(b) = 5*b**3 - 2*b**2 + b. Let x(c) = -5*o(c) + 10*w(c). Find u, given that x(u) = 0.
-151, -2/7, 1, 3
Suppose 6*s - 21 - 51 = 0. Let z = s + -10. Suppose -36*p - 12 + 27*p**2 + 199*p**3 - 211*p**3 + 18*p**z = 0. Calculate p.
-1/4, 2
Let w(o) be the first derivative of -o**6/12 + 57*o**5/25 - 293*o**4/40 + 44*o**3/5 - 4*o**2 - 6451. Find m such that w(m) = 0.
0, 4/5, 1, 20
Let t = 30079 - 18074. Factor 322*s**2 + t - 460*s + 173*s**2 - 5*s**3 - 8261*s - 3774*s.
-5*(s - 49)**2*(s - 1)
Let o(q) be the second derivative of q**7/126 - q**6/90 - q**5/4 + q**4/4 + 3*q**3 - 7125*q. Solve o(n) = 0 for n.
-3, -2, 0, 3
Let 322*m**3 + 582*m**3 + 5*m**5 + 1433 + 896*m**3 + 10640*m - 101*m**4 + 4807 + 6640*m**2 + 291*m**4 = 0. What is m?
-26, -6, -2
Let d be 10/4 + (-8 - 225/(-10)). Suppose 21*f - 16 = d*f. Find r, given that -16/5*r - 4/5*r**3 + 2/5*r**5 + 0 + 6/5*r**f - 24/5*r**2 = 0.
-2, -1, 0, 2
Let p(b) = -8*b - 77. Let z be p(-10). Find f, given that -3 - f**3 + z + f**2 = 0.
0, 1
Let d be 0 + 3 +