2/9
Let c = 318509/4 - 79627. Factor 13/4*v - c*v**2 + 0.
-v*(v - 13)/4
Suppose -4*i - 26 = -18. Let x be 2/10 + i + 19/5. Factor 13*c**2 - 14*c - 5*c**2 - x*c**2 - 4*c**2.
2*c*(c - 7)
Let m(q) be the second derivative of 74*q - 1/60*q**5 + 15/2*q**2 + 7/6*q**3 + 0 - 1/36*q**4. Factor m(l).
-(l - 5)*(l + 3)**2/3
Let f(g) be the third derivative of -g**6/420 + 199*g**5/70 - 7450*g**4/7 + 88804*g**3/21 - 4443*g**2. Factor f(x).
-2*(x - 298)**2*(x - 1)/7
Let f(b) = -32*b**3 - 316*b**2 - 216*b - 36. Let a(k) = -k**2 + k. Let v(c) = -4*a(c) + f(c). Factor v(w).
-4*(w + 9)*(2*w + 1)*(4*w + 1)
Let k(v) be the third derivative of 0*v**4 + 0*v - 48/25*v**5 - 2/525*v**7 - 4/25*v**6 + 0*v**3 - 51*v**2 + 0. Solve k(j) = 0 for j.
-12, 0
Let o(q) = q**3 - 4*q**2 + q - 2. Let l = -2439 + 2443. Let f be o(l). Factor 6/7*b**4 + 4/7*b**f + 0*b + 10/7*b**3 + 0.
2*b**2*(b + 1)*(3*b + 2)/7
Let k = 707/10905 + 4/2181. Let v(s) be the third derivative of 0 - 1/42*s**8 + 0*s**3 + 0*s**4 - k*s**5 - 2/15*s**6 + 0*s - 16*s**2 - 2/21*s**7. Factor v(j).
-4*j**2*(j + 1)**2*(2*j + 1)
Let c be ((-21312)/(-252))/(-74)*(-14)/4. Factor -c - 5/2*t - 1/4*t**2.
-(t + 2)*(t + 8)/4
Let m(l) be the first derivative of 2*l**5/5 + 2*l**4/3 + l**3/4 + 130*l + 158. Let t(z) be the first derivative of m(z). Find q such that t(q) = 0.
-3/4, -1/4, 0
Suppose -12 = 5*m - 42, 28 = 5*p + 3*m. Let t(f) be the second derivative of -1/78*f**4 - 3/13*f**p - 3*f - 4/39*f**3 + 0. Determine o, given that t(o) = 0.
-3, -1
Suppose -4*x - 117 = -3*n, -n + 2*n - x = 38. Factor 11*d**3 - 4*d**4 + 11*d**2 + 19*d**2 - 2*d**2 - n*d**3.
-4*d**2*(d - 1)*(d + 7)
Let y = 53 + -37. Suppose 18*v - 14*v = y. Factor -m**2 - 17*m**4 - 3*m**2 + 31*m**4 - 10*m**v.
4*m**2*(m - 1)*(m + 1)
Find j such that 48/5*j - 66/5*j**3 + 0 + 6/5*j**5 - 124/5*j**2 + 16/5*j**4 = 0.
-4, -2, 0, 1/3, 3
Let n(s) = -s**3 + 3*s**2 + 3*s - 7. Let h be n(3). Suppose h*j + 8 = 0, 5*c + 0 - 5 = -5*j. Solve 8*z**2 + 10*z**2 + c*z - 22*z**2 + 15*z = 0.
0, 5
Let h(z) = -z**2 - 4268*z + 1512328. Let r(l) = 6*l**2 + 21342*l - 7561647. Let b(n) = 21*h(n) + 4*r(n). Factor b(c).
3*(c - 710)**2
Suppose -112 + 32 = -3*v + k, -4*v = -k - 107. Let j be (0 - 8/(-6))*6. Factor -v*c - 8 + 31*c + j - 2*c**2.
-2*c*(c - 2)
Let z(y) be the third derivative of y**7/105 + 133*y**6/15 + 4717*y**5/2 - 133*y**4/3 - 70756*y**3/3 + 4434*y**2. Factor z(g).
2*(g - 1)*(g + 1)*(g + 266)**2
Let j(s) = -49*s**3 + 4706*s**2 - 122720*s + 27036. Let r(l) = 97*l**3 - 9408*l**2 + 245440*l - 54073. Let w(o) = 7*j(o) + 4*r(o). Factor w(u).
5*(u - 52)**2*(9*u - 2)
Let k(x) be the second derivative of -x**4/42 + 128*x**3/7 - 383*x**2/7 + 210*x + 4. Find r, given that k(r) = 0.
1, 383
Let p(m) = m**2 + m + 1. Let l(f) = 3*f**2 - 6*f - 5. Let y(q) = l(q) + 6*p(q). Let w be y(-1). Factor 2*u - u**2 + 5*u - 2*u - 4*u**2 + w.
-5*(u - 2)*(u + 1)
Let a(b) be the third derivative of -b**5/210 - 31*b**4/28 - 92*b**3/21 + 100*b**2 + 14. Find u, given that a(u) = 0.
-92, -1
Factor 434/5*z**2 + 2/5*z**3 - 23762/5 + 23326/5*z.
2*(z - 1)*(z + 109)**2/5
Let j(q) be the third derivative of -q**5/300 + 63*q**4/10 - 151*q**3/6 + 99*q**2 - 5*q + 2. Factor j(s).
-(s - 755)*(s - 1)/5
Let l be 15/18 + 1 - (-5)/30. Let o be (3/l - 2) + (-14)/(-4). Let -3*z**2 - 2*z**3 + z**3 + 5*z**4 - 5*z**5 - 2*z**2 + 6*z**o = 0. Calculate z.
-1, 0, 1
Let i(m) be the first derivative of m**4/34 - 190*m**3/51 - 392*m**2/17 - 792*m/17 - 655. Determine x so that i(x) = 0.
-2, 99
Let c(x) = -x**3 + 26*x**2 - 87*x - 18. Let j be c(22). Solve -j + 13*d + 0*d**2 + 6*d**2 + 11 = 0 for d.
-7/6, -1
Let h(f) be the first derivative of -5*f**4/12 - 20*f**3/3 - 30*f**2 - 48*f + 7. Let p(k) be the first derivative of h(k). Factor p(m).
-5*(m + 2)*(m + 6)
Let k(p) be the third derivative of -p**8/6720 - p**7/504 - p**6/120 - 53*p**4/6 - 88*p**2. Let t(l) be the second derivative of k(l). Factor t(q).
-q*(q + 2)*(q + 3)
Let b(h) be the third derivative of h**6/120 - h**5/12 - h**4/4 + h**3/2 - 14*h**2. Let o be b(6). Factor 9*y**4 - y**o - 7*y**3 - 13*y**4.
-4*y**3*(y + 2)
Let o be 370/222 - (-3)/(-180)*76. Factor 0 - o*k**2 + 14/5*k.
-2*k*(k - 7)/5
Let -1/6*m**5 - 83/3*m**3 + 9/2*m**4 - 42*m**2 + 196/3*m + 0 = 0. What is m?
-2, 0, 1, 14
Let s(l) = -18*l**2 - 524*l. Let v(m) = -7*m**2 - 175*m. Let t(o) = 3*s(o) - 8*v(o). Factor t(q).
2*q*(q - 86)
Find s such that 0*s + 10/11*s**2 - 14/11*s**4 - 68/11*s**3 + 0 = 0.
-5, 0, 1/7
Let x(l) be the first derivative of 3*l**4/4 - 2*l**3 - 3*l**2/2 + 6*l + 784. Find n, given that x(n) = 0.
-1, 1, 2
Let i(r) be the second derivative of 0 - 3*r - 11/2*r**2 - 1/3*r**4 - 2/3*r**3 - 1/15*r**5. Let w(d) be the first derivative of i(d). Factor w(j).
-4*(j + 1)**2
Let i(z) be the third derivative of z**6/30 + 154*z**5/15 - z**4/6 - 308*z**3/3 - 2593*z**2. Determine q, given that i(q) = 0.
-154, -1, 1
Let u(s) be the second derivative of 0*s**2 - 5/84*s**4 + 1/210*s**6 + 52*s + 1/14*s**3 + 3 + 1/140*s**5. Let u(d) = 0. Calculate d.
-3, 0, 1
Let b(y) = 4*y**2 - 3. Suppose -6*m = 3*w - m - 14, 5*w + m = 38. Let c(q) = 3 + q + 7 - w - 3*q**2. Let u(f) = -2*b(f) - 3*c(f). Let u(d) = 0. What is d?
0, 3
Let v = 1342 - 1386. Let b(q) = -2*q**3 - 90*q**2 - 90*q - 88. Let o be b(v). Solve o*j + 1/2*j**2 + 0 = 0 for j.
0
Determine h, given that 81 + 75*h**2 + 71*h + 16*h**2 + 24*h**2 + 25*h**3 + 100*h = 0.
-9/5, -1
Let u(y) be the second derivative of y**6/240 + 17*y**5/160 - 21*y**4/16 + 67*y**3/12 - 23*y**2/2 - 257*y - 3. What is h in u(h) = 0?
-23, 2
Suppose -28*i**2 - 62 - 101*i + 70*i - 138 - 125*i = 0. Calculate i.
-25/7, -2
Factor 1/2 + 171/4*g**2 - 173/4*g.
(g - 1)*(171*g - 2)/4
Let w(i) be the second derivative of i**8/57120 + i**7/21420 - i**4/2 + 2*i**2 + i + 12. Let u(g) be the third derivative of w(g). What is o in u(o) = 0?
-1, 0
Let w(i) be the third derivative of 0 + 27/4*i**4 + 8*i**2 + 9*i**3 + 7/12*i**6 + 0*i - 33/10*i**5 - 4/105*i**7. Factor w(c).
-2*(c - 3)**3*(4*c + 1)
Let j(a) be the first derivative of -8*a**3/3 - 13*a**2/2 - 81. Let o(q) = 15*q**2 + 25*q. Let c(t) = -5*j(t) - 3*o(t). Solve c(u) = 0 for u.
-2, 0
Let c(l) be the third derivative of 0*l + 1/180*l**5 + 1058/9*l**3 - 13*l**2 - 23/18*l**4 + 5. What is f in c(f) = 0?
46
Let g(q) be the first derivative of 12*q**3 + 482*q**2 + 728*q + 5126. Factor g(i).
4*(i + 26)*(9*i + 7)
Let s be 592/(-888) - (2 - 1)/((-90)/78). Factor -s*p**2 + 0 - 3/5*p.
-p*(p + 3)/5
Factor -669*a - 16562 + 2*a**2 - 4*a**2 + 268*a + 37*a.
-2*(a + 91)**2
Let h(g) be the third derivative of 41*g**5/60 - 83*g**4/48 + g**3/12 + 278*g**2. Suppose h(v) = 0. What is v?
1/82, 1
Let i(c) = -310*c - 36. Let l be i(5). Let j = 1586 + l. Factor -1/2*g**2 - 1/4*g**3 + j*g + 0.
-g**2*(g + 2)/4
Let p(d) be the second derivative of 5/51*d**3 + 1/102*d**4 - 14/17*d**2 + d + 0. Solve p(r) = 0 for r.
-7, 2
Let g(s) be the first derivative of s**3 + 40*s**2 + 399*s + 635. Let l(q) = 3*q**2 - 2*q**2 + 1 + 0. Let j(u) = g(u) + l(u). Determine y, given that j(y) = 0.
-10
Determine d so that -272/3 + 274/3*d**2 - 20*d**3 - 2/3*d**4 + 20*d = 0.
-34, -1, 1, 4
Let f be (-1)/228*1407/(-42) + 145/(-3480). Factor 8/19*y - 2/19*y**3 + f*y**2 - 8/19.
-2*(y - 2)*(y - 1)*(y + 2)/19
Let l(d) be the second derivative of 3 + 9/4*d**4 - 9/20*d**5 - 5/2*d**3 + 0*d**2 - 9*d - 1/10*d**6. Factor l(y).
-3*y*(y - 1)**2*(y + 5)
Let s(t) be the first derivative of -t**6/24 - t**5/12 + 5*t**4/6 + 10*t**3/3 + 35*t**2 + 6. Let k(h) be the second derivative of s(h). Solve k(d) = 0.
-2, -1, 2
Suppose -2*y + 2 = 2*h, 10117*y = 10112*y - 5. Factor -6/7 - 2/7*v**h + 8/7*v.
-2*(v - 3)*(v - 1)/7
Factor -2/7*b - 5/7*b**4 - 12/7*b**3 + 0 - 9/7*b**2.
-b*(b + 1)**2*(5*b + 2)/7
Let b be (66/10 - (-12)/30) + 7. Let r be (8 - 380/50)*b. Solve 12/5*l**2 + 8/5 - r*l = 0.
1/3, 2
Let p(i) be the first derivative of 147/5*i**2 + 7203/5*i + 1/5*i**3 - 163. What is q in p(q) = 0?
-49
Suppose 8*p + 451 = 867. Let k = 12 + -7. Let 21*s**3 + 41*s**3 - k*s**5 - p*s**3 - 5*s = 0. Calculate s.
-1, 0, 1
Let v(k) = 8*k**2 + 24*k + 26. Let g be v(-1). Let w(c) be the third derivative of 0 + 0*c**3 + g*c**2 - 1/150*c**5 + 0*c + 1/60*c**4. Let w(p) = 0. What is p?
0, 1
Suppose 20 + 217 = 304*b - 368 - 3. Factor 8/3*h - 8/3 - 2/3*h**b.
-