. Let o be k(-30). Factor 9/2*w**o + 0 - 3/4*w**4 + 6*w - 9/4*w**3.
-3*w*(w - 2)*(w + 1)*(w + 4)/4
Let j(b) be the third derivative of -8/3*b**3 + 0 + 0*b - 7/240*b**6 - 11/80*b**5 - 1/840*b**7 + 7/6*b**4 + 3*b**2. Suppose j(y) = 0. What is y?
-8, 1
Factor 54*m - 43*m**3 - 8*m**2 + 22*m**2 - 7*m**4 - 23*m + 30 - 49*m**2.
-(m + 1)**2*(m + 5)*(7*m - 6)
Let h(a) be the third derivative of a**7/56 + 16*a**6/15 - 253*a**5/60 - 3*a**4/2 - 7*a**2 - 9*a + 25. Solve h(v) = 0.
-36, -2/15, 0, 2
Let x be ((-60)/105 - (-68)/119)*2/(-6). Factor 26/3*l + x + 1/3*l**2.
l*(l + 26)/3
Find s, given that 61/3*s**2 + 165 + 1/3*s**3 + 113*s = 0.
-55, -3
Suppose 0 = -h + 4*j + 97, -4 = -3*j - 1. Let r = 111 - h. Factor 5/2*s**4 + 0 - 15/2*s**3 + r*s + 0*s**2.
5*s*(s - 2)**2*(s + 1)/2
Let t(m) = 1295*m + 1295. Let y be t(-1). Let k(j) be the first derivative of -2/3*j**6 + 0*j**3 + y*j + 34 + 0*j**2 + 0*j**4 + 4/5*j**5. Factor k(d).
-4*d**4*(d - 1)
Let 24*y**3 + 104*y + 84 - 24*y**4 + 300*y**5 + 200*y**2 + 14*y**4 - 18*y**4 + 132*y - 304*y**5 = 0. Calculate y.
-7, -1, 3
Suppose -1111064*p + 1111051*p = 0. Factor -48/5*z**2 + p + 24/5*z**3 + 32/5*z - 4/5*z**4.
-4*z*(z - 2)**3/5
Let o = -280216/3 - -560477/6. Factor -37/2*x + 17/2*x**2 + o + 5/2*x**3.
(x - 1)*(x + 5)*(5*x - 3)/2
Let n(h) = 20*h**2 + 788*h - 460. Let q(s) = -40*s**2 - 1577*s + 885. Let j(m) = -7*n(m) - 4*q(m). Factor j(r).
4*(r + 40)*(5*r - 2)
Let f be (-1 + -17 - 254888/(-4228)) + -29. Let -25*a - 17/7*a**3 + 1/7*a**4 + f*a**2 + 14 = 0. What is a?
1, 2, 7
Suppose 6*k + 144*k + 1246 = 1696. Let -3/2 - 11/4*y + 1/4*y**k - y**2 = 0. Calculate y.
-1, 6
Let p(c) be the second derivative of -c**4/4 - 19*c**3/2 + 138*c**2 + 148*c. Find g such that p(g) = 0.
-23, 4
Let x(v) = 2*v**4 - 2*v**3 - v - 1. Let s(z) = 8*z**4 - 296*z**3 - 816*z**2 - 6*z - 6. Let o(u) = s(u) - 6*x(u). Let o(i) = 0. Calculate i.
-68, -3, 0
Let o be (4/(-12) - 3)*(-81)/2. Suppose -5*f + o = 5*g, f - 2*f + 3*g = -47. Factor -16*k**2 - 2*k - 20 - f*k - 2*k**3 - k**3 + k**3.
-2*(k + 1)*(k + 2)*(k + 5)
Let j be (6/12)/(3/372*2). Solve j*g**3 - 3 + 12*g**4 + 18*g + 2*g**3 + 32*g**2 + 2*g**5 + 7 - 5*g**3 = 0.
-2, -1
Let r = 629447 + -629445. Factor -18/5 - 1/5*w**r + 11/5*w.
-(w - 9)*(w - 2)/5
Let r(n) be the first derivative of -n**9/3024 + n**8/840 + n**7/840 - n**6/180 + 4*n**3/3 - 25*n + 120. Let m(a) be the third derivative of r(a). Factor m(q).
-q**2*(q - 2)*(q - 1)*(q + 1)
Let h be 16*205/1120 + 82/(-28) + 3. Factor -3/2*v**2 + 0*v + 0*v**h + 3/4 + 3/4*v**4.
3*(v - 1)**2*(v + 1)**2/4
Suppose 44 = 58*b - 72. Find m such that -15*m + m**2 - 40 + 107 - 4*m**b + 5 = 0.
-8, 3
Let s be 41*1*(-4)/4. Let j = 55 + s. Factor -5 + 9*r + 3*r - j*r**2 + 16*r**2 + 23.
2*(r + 3)**2
Find f, given that 2/11*f**5 - 24/11 - 42/11*f**3 - 94/11*f**2 - 80/11*f - 2/11*f**4 = 0.
-2, -1, 6
Let -23*h - h**2 - 2082 - 2136 + 4106 = 0. What is h?
-16, -7
Let x(j) be the first derivative of 2*j**5/25 + 14*j**4 + 542*j**3/5 + 242*j**2 + 1072*j/5 - 7409. Determine f, given that x(f) = 0.
-134, -4, -1
Suppose 4*m + s + 6 - 23 = 0, 4*s + 37 = 5*m. Let i(z) be the third derivative of -64/21*z**3 - 25*z**2 + 0*z + 4/21*z**4 - 1/210*z**m + 0. Solve i(h) = 0.
8
Let n(s) = 75*s - 3447. Let q be n(46). Let a(d) be the first derivative of 16 - 2/3*d + 1/12*d**4 + 1/3*d**2 + 7/18*d**q. Determine y so that a(y) = 0.
-2, 1/2
Let t be (-8)/(-28)*(-525)/(-50). Factor 0*g**4 + 0*g**2 + 4/3*g**t - 2/3*g - 2/3*g**5 + 0.
-2*g*(g - 1)**2*(g + 1)**2/3
Let n be ((-25)/10)/(9/(540/(-25))). Let w be (n/5)/(427/610). Factor -w*q**2 - 4/7*q**3 - 8/7*q + 0.
-4*q*(q + 1)*(q + 2)/7
Let a(r) be the second derivative of r**6/1260 - r**5/420 - r**4/42 + r**3/6 + 9*r**2/2 + 16*r. Let x(t) be the second derivative of a(t). Factor x(d).
2*(d - 2)*(d + 1)/7
Let g be 4 + 4553/(-870) + 4/3. Let f(h) be the second derivative of h**2 - 19*h - 7/6*h**3 + 2/3*h**4 - g*h**5 + 0 - 1/15*h**6 + 1/42*h**7. Factor f(c).
(c - 1)**4*(c + 2)
Let r be ((0 + -2)*1)/(6/(-12)). Let s be (-368)/(-644)*(-7)/(-2). Factor -32/5*a**r + 14/5*a**s - 16/5*a**3 + 0 - 2/5*a.
-2*a*(a + 1)*(4*a - 1)**2/5
Find d such that 665367 + 1980*d + d**2 - 576616 + 891349 = 0.
-990
Let s be 935*5/(50/(-4)). Let l = 1873/5 + s. Factor -6/5*w - 3/5*w**2 - l.
-3*(w + 1)**2/5
Let g(r) be the third derivative of 1331*r**6/30 + 24442*r**5/15 + 18326*r**4 - 13872*r**3 + 1815*r**2. Factor g(v).
4*(11*v - 2)*(11*v + 102)**2
Let d(n) be the third derivative of 1/5*n**4 + 1 + 1/900*n**6 - 7/300*n**5 + 0*n + 37/6*n**3 + 21*n**2. Let r(m) be the first derivative of d(m). Factor r(w).
2*(w - 4)*(w - 3)/5
Let m(d) = -17*d**2 - 148*d + 8. Let p(r) = -19*r**2 - 145*r + 9. Let i(k) = -9*m(k) + 8*p(k). Solve i(v) = 0.
-172, 0
Let c be ((-8364)/15334)/(10/(-22)). Let 66/5*p - 36/5 - 24/5*p**2 - c*p**3 = 0. What is p?
-6, 1
Factor 1/5*z**2 + 7744/5 + 176/5*z.
(z + 88)**2/5
Let x(i) be the third derivative of -i**8/560 - i**7/5 - 33*i**6/50 + 14*i**5/5 + 68*i**4/5 + 310*i**2. Find n, given that x(n) = 0.
-68, -2, 0, 2
Suppose 102 - 126 = -6*g. Let x be (g/(-5))/((-72)/20). Solve -200/9 - x*n**2 - 40/9*n = 0 for n.
-10
Let i(a) = 2237*a - 184. Let x be i(2). Let r be 13/(x/590) - 8/6. Factor 3/11*p**2 + r*p**4 + 0 + 1/11*p**5 + 7/11*p**3 + 0*p.
p**2*(p + 1)**2*(p + 3)/11
Determine o so that 40 + 34/3*o + 2/3*o**2 = 0.
-12, -5
Let p(f) be the first derivative of -3*f**6/20 + f**5/10 + 2*f**4/3 - 4*f**3/3 - 9*f**2 + 3*f + 1. Let r(h) be the second derivative of p(h). Factor r(y).
-2*(y + 1)*(3*y - 2)**2
Find b, given that -123/2*b**2 + 132*b + 504 - 3/4*b**3 = 0.
-84, -2, 4
Let z(w) be the first derivative of 1/5*w**5 - 196 - 1/30*w**6 + 0*w - 2/5*w**4 + 0*w**2 + 4/15*w**3. Factor z(d).
-d**2*(d - 2)**2*(d - 1)/5
Let h = 157 - 157. Let t(w) = -2*w**3 - 9*w**2 + 3*w - 6. Let s be t(-5). Determine l, given that h*l**3 + 0*l + 2/7*l**5 + 0 + 0*l**2 + 8/7*l**s = 0.
-4, 0
Suppose 0 = 14*r - 23 - 19. Factor 7*n**4 - 9*n**4 - 8 - 8*n**2 + 4*n**r - 8*n + 24*n**2 - 10*n**2.
-2*(n - 2)**2*(n + 1)**2
Factor -1609218/11 + 3588/11*n - 2/11*n**2.
-2*(n - 897)**2/11
Let m be -10 + 10 + 7 + -3. Factor 23*g + 8*g**2 + 24*g - 4*g**3 + m - 57*g + 2*g**3.
-2*(g - 2)*(g - 1)**2
Suppose 0 - 743/3*m**3 - 1/3*m**5 - 196*m - 1180/3*m**2 - 152/3*m**4 = 0. What is m?
-147, -2, -1, 0
Let y(l) = -6675*l + 80102. Let w be y(12). Let 18/13 + 2/13*i**3 + 14/13*i**w - 34/13*i = 0. What is i?
-9, 1
Let p(c) = c - 1. Let s be (-944)/354 - ((-28)/6 + 3). Let k(z) = 9*z**2 + 8 + 17*z - 41*z + 0*z**2. Let w(t) = s*k(t) - 4*p(t). Find a, given that w(a) = 0.
2/9, 2
Let t be 54/15*(-3560)/(-3204). What is y in 10/7*y**3 - 22/7*y**t + 0 + 4/7*y**2 + 8/7*y**5 + 0*y = 0?
-1/4, 0, 1, 2
Let y(v) = v**3 + 7*v**2 - 7*v + 11. Suppose 4*z = -2*o, -z = 2*o + 21 - 9. Let q be y(o). Suppose -2*p**q + 4*p**2 - p**3 - 6*p + 4*p + 6*p = 0. Calculate p.
-2/3, 0, 2
Let s be 9/(-21)*-7 + -5. Let l be (-40)/(-12)*s/(-15). Solve -4/9*f**3 - l*f**4 + 0 + 8/9*f**2 + 0*f = 0.
-2, 0, 1
Let r(v) = v**4 + 292*v**3 + 81*v**2 - 6. Let a(y) = -y**4 - 257*y**3 - 81*y**2 + 5. Let g(h) = 6*a(h) + 5*r(h). Factor g(x).
-x**2*(x + 1)*(x + 81)
Let p = -788558/49 + 16094. Let x = 454/49 - p. Solve 92/7*g**2 + 2 + 22/7*g**4 + 2/7*g**5 + 68/7*g**3 + x*g = 0.
-7, -1
Let h(x) be the first derivative of 76/3*x**3 - 4/5*x**5 + 7*x**4 - 72*x - 14*x**2 - 83. Suppose h(i) = 0. What is i?
-2, -1, 1, 9
Let p(z) = 2*z**3 - 31*z**2 - 15*z - 11. Let y be p(16). What is t in -5*t**2 + 6*t**3 - 42*t**5 + 4*t + 15*t**2 - 2*t**4 + 40*t**y = 0?
-1, 0, 2
Suppose p + 2 = 3. Suppose 4 = 5*j - p. Let i(q) = q**4 - q**2 + 1. Let s(x) = 8*x**4 + 7*x**3 - x**2 + 3. Let b(c) = j*s(c) - 3*i(c). Factor b(h).
h**2*(h + 1)*(5*h + 2)
Suppose 4*f + 5*j + 26 = 6*f, -4*j = f + 13. Suppose 27*h**3 + 31*h**4 + f*h**5 - 19*h**4 - 36*h + 6*h**4 - 12*h**2 = 0. What is h?
-3, -2, 0, 1
Suppose 73912 - 180*n**4 - 744*n**3 - 6000*n - 5*n**5 + 584*n**3 - 2160*n**3 + 6088 - 11600*n**2 = 0. Calculate n.
-10, -8, 2
Let i(g) be the first derivative of -g**4/2 + 6*g**3 + 48*g**2 + 104*g - 4434. Factor i(h).
-2*(h - 13)*(h + 2)**2
Let t(a) be the first derivative of -a**3/18 - a**2/6 + 20*a - 689. Factor t(g).
-(g - 10)*(g + 12)/6
Suppose -1834 + 490 = 20*y - 34*y. Find k such that -256 -