*x**2 - 2702. Factor z(b).
b*(b - 3)*(b + 1)*(b + 8)/3
Determine s so that s**3 + 11058*s - 3*s**3 + 680 + 346*s**2 - 12082*s = 0.
1, 2, 170
Let v be (-115)/(-92) - 28/(-16). Let y(g) be the third derivative of 0*g**v + 14*g**2 - 1/90*g**5 + 0*g**4 + 0 - 1/60*g**6 + 4/315*g**7 + 0*g. Factor y(a).
2*a**2*(a - 1)*(4*a + 1)/3
Let u(g) = -g**2 + 7*g + 17. Let r be u(8). Suppose -3*j**4 + 18*j**3 - 15*j + 2*j**5 - 5*j**5 + 6*j**4 + 6*j**2 + 0 - r = 0. What is j?
-1, 1, 3
Let m(s) be the second derivative of 0*s**2 + 8/9*s**4 + 32/9*s**3 + 0 - 79*s + 1/15*s**5. Determine d so that m(d) = 0.
-4, 0
Let r be 396/24*(-4)/(-11). Let d(n) be the second derivative of 5/3*n**3 + 0 + 5/42*n**7 + 5/12*n**4 + 17*n - 3/4*n**5 - 1/6*n**r + 0*n**2. Factor d(s).
5*s*(s - 2)*(s - 1)*(s + 1)**2
Let a(t) be the second derivative of 15*t**7/28 + 4*t**6 - 103*t**5/4 - 20*t**4 + 625*t**3/12 - 30*t**2 + 1562*t. Determine g, given that a(g) = 0.
-8, -1, 1/3, 3
Suppose 190*o - 247 - 28 - 105 = 0. Factor -2/9*t**o - 220/9*t - 6050/9.
-2*(t + 55)**2/9
Let x(z) be the third derivative of z**5/330 + 28*z**4/33 - 464*z**3/33 - 3494*z**2. Factor x(n).
2*(n - 4)*(n + 116)/11
Let m(p) be the second derivative of p**5/20 + 65*p**4/2 - 261*p**3/2 + 196*p**2 + 2242*p. Let m(b) = 0. What is b?
-392, 1
Let m(z) = 2*z**2 + 49*z + 15*z + 48*z + 107. Let s(r) = 25*r**2 + 1345*r + 1285. Let l(u) = -35*m(u) + 3*s(u). Factor l(x).
5*(x + 1)*(x + 22)
Let i be (-123)/9 + 14 + 0. Let d(j) be the third derivative of 0 - i*j**4 + 0*j + 1/30*j**5 - 32*j**2 - 5/3*j**3. Suppose d(w) = 0. Calculate w.
-1, 5
Let y = -87 + 90. Let i = 7 - 3. Factor 0*t + 3*t + t + y*t**4 - 3*t**3 - i*t**4.
-t*(t - 1)*(t + 2)**2
Let c(j) be the second derivative of 16*j - 32*j**2 + 0 - 59*j**4 + 176/3*j**3 - 98/15*j**6 + 154/5*j**5. Factor c(w).
-4*(w - 1)**2*(7*w - 4)**2
Let g(d) be the first derivative of 110 + 3/10*d**5 - 2*d - 9/4*d**2 + 5/8*d**4 - 1/2*d**3. Factor g(t).
(t + 1)**3*(3*t - 4)/2
Let q = -12/757 + 3833/3028. Let c(b) be the first derivative of 0*b**2 - q*b**4 + 0*b - 5*b**3 + 15. Solve c(m) = 0 for m.
-3, 0
Let x(w) be the second derivative of w**7/3360 - w**6/180 - w**5/480 + w**4/12 - 21*w**3 - 14*w. Let o(t) be the second derivative of x(t). Factor o(r).
(r - 8)*(r - 1)*(r + 1)/4
Solve -35*f - 144 + 1/4*f**2 = 0 for f.
-4, 144
Let k(i) = -i**3 + 32*i**2 - 31*i + 2. Let o be k(31). What is b in 6*b**4 + 0*b**o - 2*b**2 - 8*b**4 + 6*b**2 - 2*b**3 = 0?
-2, 0, 1
Factor 13/6*a**4 - 4/3*a**2 + 2/3*a**5 - 5/6 - 7/3*a + 5/3*a**3.
(a - 1)*(a + 1)**3*(4*a + 5)/6
Let p be ((-4)/5)/(228/(-298490)). Let a = 1048 - p. Factor -a*l**3 - 2/3*l**2 + 0 + 0*l.
-2*l**2*(l + 1)/3
Let g(a) be the second derivative of -a**8/5040 + a**7/280 - a**6/45 + a**5/18 - 122*a**3/3 + 25*a. Let x(k) be the second derivative of g(k). Factor x(c).
-c*(c - 5)*(c - 2)**2/3
Suppose -882/5 + 408/5*h**3 - 5208/5*h - 2*h**4 - 3908/5*h**2 = 0. Calculate h.
-1, -1/5, 21
Let b(t) = -27243*t - 12. Let v be b(-1). Factor 6*i - v - 6*i**3 + 2*i**4 + 27231 - 4*i**2 + 2*i**2.
2*i*(i - 3)*(i - 1)*(i + 1)
Let a(o) be the third derivative of -3 - 3/10*o**5 + 0*o + 16*o**2 + 0*o**3 + 1/40*o**6 + o**4. What is p in a(p) = 0?
0, 2, 4
Suppose 37 - 19 = 2*v. Suppose 2*m - v + 3 = 0. Factor 26*y**3 - 16*y**3 - 13*y**3 + m*y.
-3*y*(y - 1)*(y + 1)
Let r = -83 + 88. Let i(y) = -9*y + 45. Let m be i(r). Factor -2/3*u**3 + m*u - 4/3*u**2 + 0.
-2*u**2*(u + 2)/3
Let p(d) be the second derivative of 5*d**4/12 - 150*d**3 + 20250*d**2 - 5275*d. Let p(v) = 0. What is v?
90
Let c be (-4)/((-4)/104*-2). Let g = -47 - c. Factor 10*f**4 + 10*f**3 - 2*f**4 + 2*f**g + 216*f**2 - 212*f**2.
2*f**2*(f + 1)**2*(f + 2)
Determine k so that -319 + 2904*k + 35*k**3 + k**3 + 2*k**4 - 819 - 1094 - 710*k**2 = 0.
-31, 1, 6
Let r(x) = -x**2 + 1. Let t(y) = 135*y - 135. Suppose -23 = 6*l - 29. Let q(d) = l*t(d) - 5*r(d). Suppose q(i) = 0. What is i?
-28, 1
Let r(y) be the third derivative of y**6/80 - 3*y**5/2 + 113*y**4/16 + 87*y**3/2 + 30*y**2 + y. Factor r(x).
3*(x - 58)*(x - 3)*(x + 1)/2
Let w(l) = 28*l**2 + 442*l - 74. Let q(c) = -26*c**2 - 440*c + 76. Let m(h) = -3*q(h) - 2*w(h). Solve m(i) = 0 for i.
-20, 2/11
Let k(q) be the second derivative of -2*q**6/15 + 46*q**5 - 5928*q**4 + 947264*q**3/3 - 1755904*q**2 + 81*q - 3. Factor k(s).
-4*(s - 76)**3*(s - 2)
Factor -171*y**2 + 1/2*y**3 + 0 - 343/2*y.
y*(y - 343)*(y + 1)/2
Let w be (-2)/((-42)/8 - -5). Determine t, given that -13*t**3 + 24*t**2 + 23*t**3 - 16*t**4 + w*t**4 + 78*t**3 + 22*t**4 = 0.
-6, -2/7, 0
Suppose 0 = 2*y + 3*k - 232, 13*k - 15*k = 4. Suppose -y*h - 6 = -122*h. Factor 3/4*b**5 + 9/2*b**3 - 3*b**4 - 3*b**h + 3/4*b + 0.
3*b*(b - 1)**4/4
Let y(l) = 9*l**2 - l - 8*l + 2*l - 16 - 3*l. Let g(k) = -5 + 12*k**2 - 2*k - 3*k**2 - 8*k - k**2 - 11. Let f(i) = 6*g(i) - 4*y(i). Suppose f(r) = 0. What is r?
-1, 8/3
Let z be 15 + (-4 - -32 - 32) - (-6)/(-1). Factor -r**4 + 0 - 1/2*r**2 - 1/4*r**z - 5/4*r**3 + 0*r.
-r**2*(r + 1)**2*(r + 2)/4
Let p(b) be the first derivative of 2*b**3/51 + 200*b**2/17 + 792*b/17 + 1813. Determine j so that p(j) = 0.
-198, -2
Let n(g) = 21*g**2 - 67*g - 121. Let f(p) = 4*p**2 - 14*p - 24. Let v(j) = 22*f(j) - 4*n(j). Find b, given that v(b) = 0.
-1, 11
Let a(k) be the first derivative of -k**4/8 - 19*k**3/2 - 111*k**2/4 - 55*k/2 - 538. Factor a(n).
-(n + 1)**2*(n + 55)/2
Let r(k) = 65*k - 451. Let z be r(7). Let n be (-280)/(-120) + z/(-2). Find h such that n*h**4 - 4/3 + h**2 - 4/3*h + 4/3*h**3 = 0.
-2, -1, 1
Let z(h) be the second derivative of -h**5/20 - h**4/2 + 5*h**3/2 - 4*h**2 + 163*h - 2. Factor z(r).
-(r - 1)**2*(r + 8)
Let j be -5*-5*(-2)/(-50). Let t(h) = 3*h**2 + 6*h + 12. Let b(w) = -2*w**2 + w. Let z(a) = j*t(a) + b(a). Let z(v) = 0. Calculate v.
-4, -3
Let z(d) be the second derivative of 110*d + 0*d**2 - 1/33*d**3 - 1/66*d**4 + 0. Determine u so that z(u) = 0.
-1, 0
Find s such that -198 + 6*s**2 - 2*s**2 + 107*s - 5*s**2 - 114 + 0*s**2 = 0.
3, 104
Let k(g) be the first derivative of 3*g**4/16 + 11*g**3/4 - 3*g**2/8 - 33*g/4 + 1464. Let k(t) = 0. Calculate t.
-11, -1, 1
Suppose 2*r + 3*o - 3 = 2*o, -3*r + 17 = -o. Find g such that -g**r + 2*g**2 + g**2 - 230*g + 232*g = 0.
-1, 0, 2
Let h(y) = y**3 + 3*y**2 + 5*y + 20. Let g be h(-3). Let k(q) be the first derivative of -2/3*q**6 + 0*q**g + 0*q + q**4 + 0*q**3 - 5 + 0*q**2. Factor k(m).
-4*m**3*(m - 1)*(m + 1)
Let l = 228757 + -228693. Determine u so that 96*u**4 - 21/8*u + 1/4 - 9/2*u**2 + l*u**3 = 0.
-2/3, -1/4, 1/8
Let o(x) be the second derivative of -x**5/10 - 2*x**4/3 + x**3/3 + 4*x**2 - 5*x + 39. Suppose o(d) = 0. Calculate d.
-4, -1, 1
Let g = -3668/53 - 223287/265. Let z = g + 913. Solve 0 - z*v + 2/5*v**2 = 0.
0, 3
Suppose 83 = 7*p + 69. Factor -103*c - 6*c**2 - 196 + 2*c**p + 28*c + 50*c - 175*c.
-4*(c + 1)*(c + 49)
Let g(m) be the second derivative of -m**5/5 + 2432*m**4/3 - 987390*m**3 + 5904900*m**2 + 12663*m. Factor g(w).
-4*(w - 1215)**2*(w - 2)
Suppose -35*q + 35 - 11 = -46. Let v(g) be the first derivative of -3*g**q - 1/2*g**3 - 38 - 9/2*g. Find d, given that v(d) = 0.
-3, -1
Factor -2*o**2 + 46*o + 348 + 12*o + 66*o - o**2 + 44*o.
-3*(o - 58)*(o + 2)
Let h(n) be the third derivative of n**5/180 + 35*n**4/144 + 13*n**3/4 + 6*n**2 + 226. Suppose h(x) = 0. What is x?
-13, -9/2
Suppose 40*f + 10 = 44*f - 2*t, t + 13 = 4*f. Let i(m) be the first derivative of 4/5*m**3 + 0*m - 5 - 3/20*m**f - 6/5*m**2. Factor i(y).
-3*y*(y - 2)**2/5
Determine d, given that 5/7*d**3 - 44/7 - 4/7*d - 1/7*d**5 - 11/7*d**4 + 55/7*d**2 = 0.
-11, -2, -1, 1, 2
Let j be (48/18)/2*(-6)/(-4). Factor -21*q**4 - 56*q**3 - 557*q - 57*q**2 + 538*q - j + 5*q**4.
-(q + 1)*(q + 2)*(4*q + 1)**2
Determine n so that -158/3*n**4 + 68/3*n + 50*n**2 + 8/3 - 5/3*n**3 - 21*n**5 = 0.
-2, -1, -2/7, -2/9, 1
Let m(t) = -98*t**2 + 35*t + 93. Let l(u) = 11*u**2 + u - 1. Let a(g) = 36*l(g) + 4*m(g). Factor a(y).
4*(y + 2)*(y + 42)
Let c(m) = 2*m - 148*m**2 + m**3 - 2*m**4 + 150*m**2 + 11*m**3 - 4*m**3. Let y(j) = -3*j**4 + 15*j**3 + 3*j**2 + 3*j. Let x(h) = 9*c(h) - 5*y(h). Factor x(w).
-3*w*(w - 1)*(w + 1)**2
Suppose -5*r - 3*i = -170, -3 = -2*i - 13. Factor -46 - 89 + 169*m + 4*m**2 - r*m - m**2.
3*(m - 1)*(m + 45)
Find s such that 382/3*s - 36 - 8/3*s**3 + 202/3