b(2). Let j = 9647/3 + g. Factor 2/3*t**2 + 28/3*t + j.
2*(t + 7)**2/3
Let w be (-4)/(-8)*1*(3 + -2 + -1). Let z(n) be the second derivative of w - 1/6*n**4 - 1/3*n**3 - 13*n + 6*n**2. Factor z(x).
-2*(x - 2)*(x + 3)
Solve -3/7*d**5 - 78/7*d**2 + 24/7*d**4 + 54/7 + 36/7*d**3 - 33/7*d = 0.
-2, -1, 1, 9
Let m(i) = i**2 + 49*i. Let z be m(-49). Let x be (12/108)/((-30)/(-108)). Factor z - 9/5*v**2 + x*v.
-v*(9*v - 2)/5
Let n(y) be the second derivative of 38/5*y**5 + 0 + 0*y**2 - 1/3*y**7 + 19/15*y**6 - 149*y + 10/3*y**4 + 0*y**3. Suppose n(m) = 0. What is m?
-2, -2/7, 0, 5
Suppose -5*i = -3*f - 1581, 2*i + 67 = 3*f + 694. Let -16*v + 4*v**4 - 12 + 6*v**3 - 5*v**4 - 315*v**2 + i*v**2 = 0. What is v?
-1, 2, 6
Let m(q) be the first derivative of -17/8*q**2 - 7/12*q**3 - 3/2*q - 11. What is i in m(i) = 0?
-2, -3/7
Let u(j) be the first derivative of -j**6/2 - 36*j**5/5 + 72*j**4 + 640*j**3 - 8064*j**2 + 27648*j - 581. Solve u(g) = 0 for g.
-12, 4
Let x = -11637 - -11647. Let b = -9 + 11. Factor -5/2*n**b - x + 10*n.
-5*(n - 2)**2/2
Let p(s) be the second derivative of 2*s**7/7 + 22*s**6/15 - 16*s**5/5 - 44*s**4/3 + 32*s**3/3 - 2802*s. Suppose p(v) = 0. What is v?
-4, -2, 0, 1/3, 2
Let o(q) = 7*q**2 - 291*q - 10365. Let g(u) = -60*u**2 + 2618*u + 93286. Suppose 5*f - 30 = -4*y, 5*f - 36 = -y - 6. Let l(x) = f*g(x) + 52*o(x). Factor l(r).
4*(r + 72)**2
Suppose -6*o - 3*o = 26*o + 5*o. Let h(i) be the second derivative of 4*i + 2/11*i**2 + o + 1/11*i**4 - 13/33*i**3. Factor h(a).
2*(a - 2)*(6*a - 1)/11
Let g be (-12300)/40*(-3)/300 - -4 - 7. Let k(t) be the third derivative of 1/100*t**5 - g*t**4 + 15*t**2 + 0 + 0*t**3 + 0*t. Factor k(l).
3*l*(l - 3)/5
Determine t so that -7*t**5 + 3325*t - 2905*t + 915*t**3 + 1908*t**2 - 5*t**5 + 9*t**4 = 0.
-7, -2, -1/4, 0, 10
Let m(z) be the third derivative of -275*z**2 - 289/18*z**3 + 0*z + 799/144*z**4 + 5/18*z**5 + 0 - 17/630*z**7 - 1/2016*z**8 - 143/360*z**6. Solve m(o) = 0.
-17, -2, 1
Let q(o) = -o**2 - 91*o - 3. Let r(y) = -4*y**2 - 372*y - 11. Let g(c) = 11*q(c) - 3*r(c). Solve g(a) = 0.
-115, 0
Let g = 922/10563 + 4/503. Let o(b) be the second derivative of -g*b**3 + 16*b + 0 - 1/35*b**5 + 0*b**2 + 2/21*b**4. Let o(v) = 0. Calculate v.
0, 1
Let q be ((-1206)/(-4355))/((72/(-15))/(-8)). Let b be (4/78)/(2/12). What is i in b*i**2 + 2/13*i**4 - q - 8/13*i + 8/13*i**3 = 0?
-3, -1, 1
Let g(d) be the third derivative of d**6/72 - 13*d**5/36 - 545*d**4/72 - 475*d**3/18 - 1981*d**2 - 2. Let g(b) = 0. Calculate b.
-5, -1, 19
Let h(k) be the third derivative of -k**6/840 - 17*k**5/70 - 289*k**4/14 - 19*k**3 + 2*k**2 - 4. Let j(s) be the first derivative of h(s). Factor j(n).
-3*(n + 34)**2/7
Let j(w) be the third derivative of -w**5/60 + 3*w**4/8 - 4*w**3/3 + 522*w**2. Find q such that j(q) = 0.
1, 8
Let -5/2*l**3 - 70*l**2 - 825/2*l + 1125 = 0. What is l?
-15, 2
Let b(u) be the third derivative of u**7/2520 - u**6/144 + u**5/20 - u**4/8 - 5*u**3/2 + 40*u**2. Let c(a) be the second derivative of b(a). Factor c(s).
(s - 3)*(s - 2)
Let l = -587 - -3016/5. Suppose -l*k + 12/5*k**2 - 21/5 = 0. Calculate k.
-1/4, 7
Let y(x) be the first derivative of -61 - 10/17*x - 2/51*x**3 + 6/17*x**2. Determine d, given that y(d) = 0.
1, 5
Determine d, given that 9/2*d**4 + 213/2*d - 141/2*d**3 + 297/2*d**2 - 117 = 0.
-1, 2/3, 3, 13
Let z(m) be the first derivative of 5*m**3/3 - 3615*m**2 + 2613645*m - 2575. Find l, given that z(l) = 0.
723
Let v be 2 + 2/(-1 - -3). Suppose 3*p + v = -k + 2*p, -3 = -4*k - p. Factor y**k + 3 + 0 - 4.
(y - 1)*(y + 1)
Let g(o) = -4522*o + 24*o**4 + 70*o**2 + 6 + 57*o**3 + 4536*o - 9*o**4. Let j(m) = -m**4 - m**2 + m - 1. Let b(i) = -g(i) - 6*j(i). Suppose b(u) = 0. What is u?
-5, -2/3, 0
Let b(w) be the third derivative of w**5/140 - 33*w**4/14 + 2178*w**3/7 - 784*w**2 - 1. Determine v, given that b(v) = 0.
66
Let m(b) = -4*b**2 - b - 1. Let f(j) = j**2. Let d(z) = 3*f(z) + m(z). Let x(h) = 5*h**2 + 6*h + 6. Let l(t) = 6*d(t) + x(t). Determine w, given that l(w) = 0.
0
Suppose 3*d - 2*l - 18 = -5*l, 0 = -d + 2*l - 3. Factor -d*y**4 - 4 - 7*y**3 - 5 + 6*y + y**3 - 3830*y**2 + 3842*y**2.
-3*(y - 1)**2*(y + 1)*(y + 3)
Determine q, given that 0 - 93/4*q**2 + 1/4*q**3 + 23*q = 0.
0, 1, 92
Suppose f + 3*y + 2*y = 29, -5*y = -4*f - 9. Let v be f + -4 + 4 + -2. Suppose -4*o + 11*o + 0*o**v + 3*o - 5*o**2 = 0. Calculate o.
0, 2
Let s(x) = 3*x**2 - 630*x + 1971. Let f(c) = 3*c**2 - 631*c + 1956. Let m(o) = 6*f(o) - 5*s(o). Determine q so that m(q) = 0.
3, 209
Factor -1078/3*a - 2/3*a**3 + 4598/3 + 82/3*a**2.
-2*(a - 19)*(a - 11)**2/3
Let l(g) be the third derivative of -47*g**4/24 - 140*g**3/3 - 235*g**2. Let r be l(-6). Factor 4/5 - 2/5*f - 1/5*f**r + 1/10*f**3.
(f - 2)**2*(f + 2)/10
Let 0 - 102/7*h - 2/7*h**3 + 104/7*h**2 = 0. What is h?
0, 1, 51
Let h(b) be the third derivative of 2*b**7/105 - b**6/5 - 4*b**5/5 + 19*b**4/3 - 14*b**3 + 1333*b**2. Determine i so that h(i) = 0.
-3, 1, 7
Let y(d) be the third derivative of d**6/24 + 9*d**5/4 - 305*d**4/24 - 145*d**3/2 + 105*d**2 + 6*d - 2. Factor y(h).
5*(h - 3)*(h + 1)*(h + 29)
Let r(o) be the second derivative of o**7/105 + 2*o**6/75 - 13*o**5/50 - 7*o**4/15 + 8*o**3/5 + 43*o. Determine u so that r(u) = 0.
-4, -2, 0, 1, 3
Suppose 29*h = -54 - 120. Let r(y) = -2*y**2 - 15*y - 14. Let o be r(h). Factor 0*l**2 + 0 + 0*l + 8/7*l**3 + 2/7*l**5 - 8/7*l**o.
2*l**3*(l - 2)**2/7
Solve -431*i**3 - 7520*i**4 + 5418*i**2 - 1043*i**3 + 1492*i + 2702*i**2 - 600 - 2*i**5 - 98*i**5 + 82*i**3 = 0 for i.
-75, -1, -2/5, 1/5, 1
Let f(d) = 11*d**3 - 44*d**2 - 53*d + 90. Let o(t) = -14*t**3 + 46*t**2 + 52*t - 90. Let k(l) = 3*f(l) + 2*o(l). Factor k(j).
5*(j - 9)*(j - 1)*(j + 2)
Let p be (4/(-18))/((-23)/207). Factor -40 - 484*i**2 - 224*i - 105*i**3 + 190*i**4 - 76*i - 126*i**p + 55*i**4.
5*(i - 2)*(i + 1)*(7*i + 2)**2
Let q(w) be the first derivative of 0*w - 1/12*w**5 - 10/3*w**3 + 5/6*w**4 - w**2 + 2. Let h(v) be the second derivative of q(v). Factor h(u).
-5*(u - 2)**2
Suppose 291*x - 253 - 125 = -18*x + 549. Factor 1/2*c**x + 1/2*c**2 - 28*c + 72.
(c - 4)**2*(c + 9)/2
Factor 190*a**2 - 46401*a**4 - 21*a**2 - 169*a + a**3 + 46400*a**4.
-a*(a - 13)*(a - 1)*(a + 13)
Let k(w) be the second derivative of 5*w**4/12 + 90*w**3 + 6175*w**2/2 - 6924*w. Determine d so that k(d) = 0.
-95, -13
Determine j, given that -13762*j**3 + 980*j + 13757*j**3 + 959 + 41 + 230*j**2 = 0.
-2, 50
Let m = -17299 - -17299. Let h(a) be the third derivative of -4*a**3 + 27*a**2 + m*a + 7/10*a**5 + 3/2*a**4 - 3/8*a**6 - 9/70*a**7 + 0. What is g in h(g) = 0?
-2, -1, 2/3
Suppose -4*m + 4*u = 12, 2*u = 703*m - 708*m + 6. Solve 0*a + 0*a**2 - 3/7*a**4 + 0 + m*a**3 = 0.
0
Let z(w) be the third derivative of -52*w**2 + 0*w + 0*w**5 + 1/120*w**6 + 0 - w**3 - 7/24*w**4. Find i, given that z(i) = 0.
-2, -1, 3
Let c(m) be the third derivative of 23 + 0*m - 1/20*m**5 + 1/4*m**4 + 0*m**3 - 1/40*m**6 + m**2. Factor c(j).
-3*j*(j - 1)*(j + 2)
Suppose 2*y - 140 = -2*y. Suppose 0 = -2*u - y*u. Factor 3/2*s**2 + u - s - 1/2*s**3.
-s*(s - 2)*(s - 1)/2
Let w be -6 - (0/(-1) + -1). Let s be (1 + -3)/(w/10). Factor 10*l**4 - 10 + 15*l**3 - 8*l**4 - 15*l + 2*l**4 + 5*l**2 + l**s.
5*(l - 1)*(l + 1)**2*(l + 2)
Factor 204/7*q + 1170/7 - 6/7*q**2.
-6*(q - 39)*(q + 5)/7
Suppose 3425 = 143*a + 3139. Factor 2/7*w**a + 4/7*w + 0.
2*w*(w + 2)/7
Let i = 275555 + -3582201/13. Solve -i*r + 2/13*r**2 + 12/13 = 0.
1, 6
Let g(j) be the first derivative of j**4/14 - 18*j**3/7 + 87*j**2/7 + 230*j/7 + 3895. Factor g(i).
2*(i - 23)*(i - 5)*(i + 1)/7
Suppose -9*y - 3*y**2 - 22*y**2 + 25*y**3 + 25*y**4 + 5*y**5 - 22*y + y = 0. What is y?
-3, -2, -1, 0, 1
Let o(f) be the first derivative of -f**7/42 - f**6/24 + 5*f**5/12 - 5*f**4/8 - 14*f**2 + 3*f + 118. Let g(q) be the second derivative of o(q). Factor g(l).
-5*l*(l - 1)**2*(l + 3)
Let r(p) = 5*p**2 - 92*p + 196. Let x(w) = -66*w**2 + 1191*w - 2550. Let a(b) = -27*r(b) - 2*x(b). Factor a(z).
-3*(z - 32)*(z - 2)
Let x = -117398/3 + 39133. What is n in 0 + 1/3*n**3 + 1/3*n**2 - 1/3*n - x*n**4 = 0?
-1, 0, 1
Let t be 4 - 7 - (-18)/24*4. Let -8*p**2 + 6 - 722*p + 6 + 702*p + t = 0. Calculate p.
-3, 1/2
Suppose 0 = -403*l - 154*l + 180*l + 1131. Find d such that -5/2*d + l - 1/2*d**2 = 0.
-6, 1
Let q b