 of b(d). What is z in x(z) = 0?
-1, 0, 14
Factor -216/7*g**3 - 1836/7*g - 1242/7*g**2 + 0 - 2/7*g**4.
-2*g*(g + 3)**2*(g + 102)/7
Let u = 312 - 312. Let b be u/(7/(-7) - -2). Find j, given that -6/7*j + 6/7*j**2 + b = 0.
0, 1
Suppose 197*k - 3*m = 192*k + 37, -3*k + 5*m = -51. Determine q, given that 72/5 + 161*q**3 - 49/5*q**4 + 1354/5*q**k + 572/5*q = 0.
-1, -2/7, 18
Let d(p) be the first derivative of 4/3*p**3 + 1/15*p**5 - 12 - 1/2*p**4 - 7*p**2 + 0*p. Let j(c) be the second derivative of d(c). Factor j(k).
4*(k - 2)*(k - 1)
Let d(h) be the second derivative of -h**7/21 - 32*h**6/15 + 109*h**5/10 + 70*h**4/3 - 78*h. Let d(t) = 0. Calculate t.
-35, -1, 0, 4
Let u(n) = -24 - 16 + 104*n - 33*n - 33*n - 39*n. Let c be u(-40). Factor 0*x**2 - 5/2*x**3 + c + 5/2*x.
-5*x*(x - 1)*(x + 1)/2
Let z be (-12055)/(-19288) - 11/(-8). Factor 0 - 112/5*i**z - 51/5*i**3 + 36/5*i + 7/5*i**4.
i*(i - 9)*(i + 2)*(7*i - 2)/5
Let n = -6/56851 - -227446/397957. Solve n*k + 0 - 8/7*k**2 + 3/7*k**3 - 1/7*k**5 + 2/7*k**4 = 0.
-2, 0, 1, 2
Let b(l) be the first derivative of 0*l - 69 - 7/2*l**2 - 1/8*l**4 - 3/2*l**3. Factor b(i).
-i*(i + 2)*(i + 7)/2
Let h(i) be the second derivative of -3*i**5/20 + 27*i**4/2 + 57*i**3/2 - 165*i**2 + 3061*i. Factor h(q).
-3*(q - 55)*(q - 1)*(q + 2)
Let f be (-460)/70 + 10 + -3. Suppose -2*t + 10 = 3*t. Factor -1/7*v**t + 4/7 + f*v.
-(v - 4)*(v + 1)/7
Solve 3650*c + 2500 + 3/2*c**3 - 149*c**2 = 0.
-2/3, 50
Let d(h) be the third derivative of -h**8/112 + 2*h**7/7 - 17*h**6/5 + 163*h**5/10 - 7*h**4/8 - 245*h**3 - 11*h**2 + 11. Let d(k) = 0. Calculate k.
-1, 2, 5, 7
Let v be 92664/18720 + 63/(-15). Suppose 3/4*z**5 + v*z**2 - 3/4*z**4 - 9/4*z**3 + 0 + 3/2*z = 0. What is z?
-1, 0, 1, 2
Let c = -17133 - -17135. Suppose -2*m - 3 - 1/4*m**c = 0. Calculate m.
-6, -2
Let k(w) be the first derivative of -5/6*w**6 - 65*w**2 + 29*w**5 - 37 - 405/4*w**4 + 395/3*w**3 + 0*w. Let k(a) = 0. What is a?
0, 1, 26
Let t(r) = r**2 - 43*r + 42. Let d = 657 - 660. Let v(m) = 2*m**2 - 87*m + 85. Let h(w) = d*v(w) + 5*t(w). Factor h(c).
-(c - 45)*(c - 1)
Let w be 26/(-351)*9 + 38/30 + 1. Factor 0 + w*p - 2/5*p**2.
-2*p*(p - 4)/5
Let o(h) be the second derivative of -h**4/42 + 73*h**3/21 + 225*h. Factor o(w).
-2*w*(w - 73)/7
Let k = 2219 + -2215. Let z(y) be the first derivative of -9/8*y**k + 4*y**3 - 1 + 0*y + 9/4*y**2. Factor z(b).
-3*b*(b - 3)*(3*b + 1)/2
Let l = -8625 + 8629. Let q(s) be the second derivative of 3/10*s**5 - 81/4*s**2 - 1/60*s**6 + 0 + 4*s + 9*s**3 - 9/4*s**l. Solve q(h) = 0 for h.
3
Let m(v) be the first derivative of -1/2*v**4 + 0*v + 81 + 40/3*v**3 - 100*v**2. Factor m(r).
-2*r*(r - 10)**2
Let w = 8/12359 - -5005339/86513. Factor 486/7 + 3/7*g**5 + 90/7*g**3 - w*g + 0*g**2 - 30/7*g**4.
3*(g - 3)**4*(g + 2)/7
Factor -1/6*q**5 - 172/3*q**3 + 8*q**4 + 320/3 + 496/3*q**2 - 216*q.
-(q - 40)*(q - 2)**4/6
Let d(n) be the second derivative of n**4/18 - 1124*n**3/9 - 375*n**2 - 630*n - 5. Solve d(l) = 0.
-1, 1125
Factor -116*n**2 - 80*n - 40*n**3 + 602*n**4 - 291*n**4 - 315*n**4.
-4*n*(n + 1)*(n + 4)*(n + 5)
Let m(s) be the second derivative of 5/2*s**2 + 1/6*s**6 + 0*s**3 - 5/6*s**4 + 0*s**5 + 0 + 240*s. Determine z so that m(z) = 0.
-1, 1
Solve 139*x**4 + 3*x**5 - 126*x**2 + 2420*x**3 - 1323*x - 1100*x**3 - 13*x**4 = 0 for x.
-21, -1, 0, 1
Let w(x) be the second derivative of -x**5/50 - 23*x**4/10 + 47*x**3/5 - 71*x**2/5 + 1580*x. Let w(b) = 0. What is b?
-71, 1
What is w in -3256*w - 5808 - 1633/3*w**2 - 74/3*w**3 - 1/3*w**4 = 0?
-33, -4
Let k(b) = 3 - 17 - 14 + 40*b**2 - 75*b + 0*b**3 - b**3 - 7. Let q be k(38). Solve 60/7*f**4 - 16/7*f**5 - 80/7*f**q + 0*f - 4/7 + 40/7*f**2 = 0 for f.
-1/4, 1
Factor 368*k**2 + 721 + 565*k**2 - 294*k**2 + 39*k**2 - 15*k**3 + 1257*k - 157.
-3*(k - 47)*(k + 1)*(5*k + 4)
Let y(s) be the first derivative of -3*s**4/8 - 9*s**3/2 + 243*s**2/4 + 2187*s/2 - 323. Factor y(z).
-3*(z - 9)*(z + 9)**2/2
Let b = -16 + 21. Factor 65*f**2 - b*f + 5*f**3 - 58 - 92 + 47*f**2 + 12*f**2 + 26*f**2.
5*(f - 1)*(f + 1)*(f + 30)
Let h(z) be the second derivative of -z**5/30 - 13*z**4/12 - 22*z**3/3 + 121*z**2 - 83*z. Let g(f) be the first derivative of h(f). Factor g(x).
-2*(x + 2)*(x + 11)
Let i(q) be the third derivative of -q**8/784 + 2*q**7/35 + q**6/280 - q**5/5 - 3*q**2 + 134. Find u, given that i(u) = 0.
-1, 0, 1, 28
Let l(a) be the first derivative of -64*a + 131 + 0*a**2 + 4/3*a**3. Find b, given that l(b) = 0.
-4, 4
Let l(a) be the third derivative of 2*a**7/63 + 101*a**6/144 + 115*a**5/24 + 5*a**4 - 15*a**3 - 4*a**2 + 21*a. Solve l(j) = 0.
-6, -1, 3/8
Let f(a) be the first derivative of -15 - 1/2*a**4 + 4*a + 3/20*a**5 + 9*a**2 - 5/2*a**3. Let i(l) be the first derivative of f(l). Factor i(z).
3*(z - 3)*(z - 1)*(z + 2)
Let f = -272844/7 - -38980. Factor -8/7*d**3 - 1/7*d**5 + 0*d + 0 + d**4 - f*d**2.
-d**2*(d - 4)**2*(d + 1)/7
Let i(d) be the third derivative of d**8/1680 - d**7/42 - 103*d**6/600 + 529*d**5/300 + 17*d**4/20 - 84*d**3/5 + 9877*d**2. Suppose i(k) = 0. What is k?
-6, -1, 1, 3, 28
Let 7/2*q**5 + 121/2*q**2 + 185/6*q**4 + 2 + 64/3*q + 137/2*q**3 = 0. What is q?
-6, -1, -2/3, -1/7
Factor 839*z + 54*z**2 + 149*z**2 + 421*z + 24*z**2 - 1202 - 14674 - 10*z**3 - z**4.
-(z - 9)**2*(z + 14)**2
Suppose -5*m = -2*m - 267. Let h = m + -87. Factor -48*d**3 + 12*d**4 - 148 + 136*d**3 + 176 + 108*d + 152*d**h - 4*d**5.
-4*(d - 7)*(d + 1)**4
Suppose 2 + 0*x - 1/2*x**2 = 0. What is x?
-2, 2
Suppose -312 - 24 = -28*v. Let k be v/((-144)/(-66)) + -3. Determine a so that -5 + k*a + 5/2*a**2 = 0.
-2, 1
Let k be 2 + (-10)/2 + 0 + 5. Find s, given that 20*s**3 + 18*s + 35*s**2 + 12*s - 95*s**k - 65*s**2 = 0.
0, 1/4, 6
Let 9/4*w - 1/2*w**2 + 3/2*w**4 - 1/4*w**5 - 1 - 2*w**3 = 0. Calculate w.
-1, 1, 4
Let x be ((6 - (-728)/(-120))*-6)/((896/30)/32). Find f, given that -x*f**2 + 30/7 - 9/7*f = 0.
-5, 2
Let z(b) be the second derivative of b**7/14 + 4*b**6/5 + 27*b**5/10 + b**4 - 19*b**3/2 - 18*b**2 - 309*b. What is l in z(l) = 0?
-4, -3, -1, 1
Let k be (-60)/250*15 + 4 + 319/(-1160). Factor k*h**2 - 23/8*h + 11/4.
(h - 22)*(h - 1)/8
Factor -76*n**4 - 220/3 + 294*n - 1328/3*n**2 + 2/3*n**5 + 892/3*n**3.
2*(n - 110)*(n - 1)**4/3
Let d(c) = -1535996*c**3 + 172806*c**2 - 6484*c + 79. Let o(p) = -2*p**3 - 3*p**2 + 2*p + 1. Let m(x) = d(x) + 2*o(x). Factor m(a).
-3*(80*a - 3)**3
Factor 38303*u**2 - 102*u + 1347 - 38301*u**2 - 47.
2*(u - 26)*(u - 25)
Suppose -76*y = -73*y. Let d(u) = -2*u + 2. Let j be d(y). Solve -5*i + 5*i**2 + 9*i - i**j = 0 for i.
-1, 0
Let v = 129/998 - -2349/4990. Factor 36/5*s - v + 39/5*s**2.
3*(s + 1)*(13*s - 1)/5
Factor 138*v**2 + 11*v - 1638 + 119*v + 1630.
2*(v + 1)*(69*v - 4)
Suppose -228*d - 554 + 1010 = 0. Find m such that 12/7*m - 2/7*m**d - 18/7 = 0.
3
Let d(c) = 8*c - 259. Let i be d(32). Let h be 30/20 - (i - -4). Find l such that 0 + 1/2*l**2 - h*l**4 + 0*l**3 + 1/4*l**5 - 1/4*l = 0.
-1, 0, 1
Let y be 2*6/8*16/12. Factor -4*b + 32 - 17*b - 21*b - 22*b**y + b**5 + 13*b**3 - 3*b + 13*b + 8*b**4.
(b - 1)**2*(b + 2)*(b + 4)**2
Factor 293*u**2 - 1/2*u**3 - 585/2*u + 0.
-u*(u - 585)*(u - 1)/2
Suppose -w = 7*w + 15*w. Suppose 19*q = 16*q. Factor w*z + q - 1/4*z**3 - 1/2*z**2.
-z**2*(z + 2)/4
Factor 30/13*b**2 - 1928/13 - 5774/13*b.
2*(3*b + 1)*(5*b - 964)/13
Let l(n) be the first derivative of 5*n**4/4 - 890*n**3/3 - 5*n**2/2 + 890*n + 14735. Suppose l(u) = 0. What is u?
-1, 1, 178
Let q(f) be the second derivative of f**5/5 - 113*f**4/3 + 664*f**3/3 - 440*f**2 + 37*f. Factor q(h).
4*(h - 110)*(h - 2)*(h - 1)
Suppose 96 = -28*z + 16*z. Let m be (-3)/(240/44) - 6/z. Factor 1/2*j + 1/10*j**3 - m - 2/5*j**2.
(j - 2)*(j - 1)**2/10
Let a(f) be the second derivative of -f**6/120 + f**5/8 - 1155*f. Find z, given that a(z) = 0.
0, 10
Let j(z) be the third derivative of z**6/120 + 51*z**5/5 + 5202*z**4 + 1414944*z**3 + z**2 - 671*z. Factor j(m).
(m + 204)**3
Let f(c) = 419*c - 2514. Let l be f(6). Let q(h) be the second derivative of -1/20*h**6 - 24*h + l*h**2 + 0 - 9/10*h**5 - 9/2*h**4 + 0*h**3. Factor q(s).
-3*s**2*(s + 6)**2/2
Let -1/5*s**4 - 13/5*s**3 + 320*s + 5632/5 + 72/5*s**2 = 0. Calculate s.
-8, 11
Let n be ((-42 + 43)*3/(-10))/(12/(-416)). Suppose -4/5 + 54/5*g**5 - n*g**3 - 12*g**4 - 2/5*g + 64/5*g**2 = 0