- f**3/7 + 37*f**2 + 4*f + 36. Let l(d) be the first derivative of n(d). Find h such that l(h) = 0.
-2, -1
Let q(o) be the third derivative of -73 + 1/672*o**8 + 0*o + 13/60*o**5 + 1/30*o**6 - 3*o**2 - 3/16*o**4 - 3/2*o**3 - 2/105*o**7. Determine v so that q(v) = 0.
-1, 1, 3, 6
Let q = -83 + 253/3. Determine b so that 0 + 0*b + q*b**3 + 0*b**2 = 0.
0
Let z(c) be the third derivative of -c**9/12096 + c**7/1120 + c**6/720 - 17*c**3 - 50*c**2. Let d(p) be the first derivative of z(p). Solve d(q) = 0.
-1, 0, 2
Let l(r) be the third derivative of -r**5/12 - 75*r**4/4 - 3375*r**3/2 + 4*r**2 - 75. Factor l(b).
-5*(b + 45)**2
Let m(c) be the third derivative of 15*c**2 + 0*c - 3 - 1083/5*c**5 + 0*c**4 + 0*c**3 + 19/5*c**6 - 2/105*c**7. Find y, given that m(y) = 0.
0, 57
Let x(p) = p**2 - 13*p - 6. Let m be x(14). Determine a so that -2 - 51*a**2 - 7 - 2*a + m*a + 54*a**2 = 0.
-3, 1
Let o = 24508/315 + -1954/45. Find g, given that 2/21*g**2 + 76/21*g + o = 0.
-19
Let j = -18 - -29. Suppose -10*s**2 + j*s**2 + 5 + 9*s - 25*s + 10 = 0. Calculate s.
1, 15
Let n(v) be the first derivative of v**4/16 - 9*v**3/4 + 51*v**2/8 - 25*v/4 - 681. Factor n(l).
(l - 25)*(l - 1)**2/4
Let k(m) be the first derivative of -m**6/9 - 466*m**5/15 - 13219*m**4/6 + 82130*m**3/9 - 41536*m**2/3 + 27848*m/3 - 7. Determine q, given that k(q) = 0.
-118, 1
Let r(w) be the first derivative of -w**5/120 - w**4/18 + 53*w + 80. Let x(h) be the first derivative of r(h). Factor x(i).
-i**2*(i + 4)/6
Let q(t) be the third derivative of t**5/120 + 47*t**4/24 + 31*t**3/4 - 2*t**2 + 162*t + 2. Find w, given that q(w) = 0.
-93, -1
Factor -124/5*i**3 - 28/5*i**4 + 0 + 1/5*i**5 + 0*i - 128/5*i**2.
i**2*(i - 32)*(i + 2)**2/5
Let y(x) be the first derivative of 24389*x**6/2 + 550014*x**5/25 + 100311*x**4/10 + 1132*x**3 + 543*x**2/10 + 6*x/5 + 3058. Solve y(g) = 0 for g.
-1, -2/5, -1/29
Let j be (-8)/6 + ((-28)/(-12) - -1). Determine d so that -d**2 + 442*d + 40 - 400*d + 3*d**j = 0.
-20, -1
What is z in -2/5*z**2 + 0 - 2738/5*z = 0?
-1369, 0
Let -27075/4 - 285/2*q - 3/4*q**2 = 0. Calculate q.
-95
Let r(c) = -111*c**3 - 488*c**2 - 395*c - 75. Let o(f) = -2*f**3 + 3*f**2 + 8*f. Let b(p) = 15*o(p) + 3*r(p). Solve b(t) = 0.
-3, -5/11
Let -185/2*q**4 - 35/2*q**5 + 260*q + 50 + 625/2*q**2 + 55/2*q**3 = 0. What is q?
-5, -1, -2/7, 2
Let j(f) = 3*f**4 + f**2 - f + 1. Let z(u) = -23*u**4 + 2055*u**3 - 8171*u**2 + 10191*u - 4076. Let n(r) = 6*j(r) + z(r). What is s in n(s) = 0?
1, 2, 407
Suppose 2*a = 10*a - 16. Suppose -4*j - a = 2*y - 4, -j = y - 2. Factor -2*i**y - 2 + 4*i**2 - 2*i**4 - 2*i**3 + 6*i**3 + 2*i**3 - 2*i - 2*i**5.
-2*(i - 1)**2*(i + 1)**3
Let p(t) be the third derivative of 0*t**3 - 13/70*t**7 - 5/4*t**6 + t**4 - 5*t**2 + 4*t + 0 - 11/5*t**5. Let p(r) = 0. What is r?
-2, 0, 2/13
Let y(f) = 2*f**2 + f - 1. Let w(m) = 15*m**2 - 520*m - 1075. Let l(t) = -w(t) + 5*y(t). Factor l(x).
-5*(x - 107)*(x + 2)
Let f = -42133/6 - -7023. Let j(c) be the first derivative of -f*c**6 + 10/3*c**3 - c**5 + 5/2*c**4 - 5/2*c**2 - 6 - 5*c. Factor j(k).
-5*(k - 1)**2*(k + 1)**3
Suppose 0 = -1149*z - 957*z + 4212. Suppose -18/17*h - 2/17*h**z - 16/17 = 0. What is h?
-8, -1
Factor -41*s**2 - 3*s**3 + 28*s**2 - 3*s - 270*s**2 - 57*s - 34*s.
-s*(s + 94)*(3*s + 1)
Let w(f) be the first derivative of -2*f**5/5 - 46*f**4 - 120*f**3 + 7126. Determine p, given that w(p) = 0.
-90, -2, 0
Determine v so that 1/5*v**5 + 96940*v - 104/5*v**4 + 3889/5*v**3 - 12854*v**2 - 273800 = 0.
10, 37
Let d be 2/((-8)/(-49)) + 49/196. Let g(j) be the second derivative of 65/2*j**3 - 4*j**5 + 0 - 10*j - d*j**2 - 30*j**4. Determine a, given that g(a) = 0.
-5, 1/4
Let h be (55/15 - 3) + (-1)/(-3). Let g be -1*h/(1/(-2)). Factor -2*a**2 + 10*a**2 + 0*a - 4*a - 6*a**2 + g.
2*(a - 1)**2
Let c(b) be the second derivative of 100*b + 1/4*b**5 + 0 - 25/6*b**3 + 0*b**2 - 5/3*b**4. Let c(z) = 0. What is z?
-1, 0, 5
Suppose -6 + 114 = 3*u + 2*d, -5*u - 5*d + 180 = 0. Let p(z) be the first derivative of 4*z + 1/3*z**3 - 2*z**2 - u. Let p(y) = 0. Calculate y.
2
Let h(c) = -3*c**2 + 52 + c - 32 + 2*c**2 + 72. Let q be h(10). Determine b, given that -98/9 - 2/9*b**q - 28/9*b = 0.
-7
Factor -1 - r**2 + 36*r**2 - 111*r + 1 - 5*r**4 + 91*r - 10*r**3.
-5*r*(r - 1)**2*(r + 4)
Let k(o) be the second derivative of 4/5*o**2 - 16*o + 1/60*o**4 - 2 + 1/5*o**3. Factor k(u).
(u + 2)*(u + 4)/5
Factor 156/5*r**3 - 1392/5*r**2 + 576*r + 3/5*r**4 + 0.
3*r*(r - 4)**2*(r + 60)/5
Suppose -4*d = -3*y + 3, 2*y + 2*d = -y + 21. Factor 6 - 2 - y*u - 7 + 68*u**3 - 5 - 144*u**2 + 89*u.
4*(u - 1)**2*(17*u - 2)
Let y(t) be the third derivative of 0 - 4/35*t**7 - 190*t**2 - 1/2*t**6 + 0*t**4 - 4/5*t**5 + 0*t + 0*t**3 - 1/112*t**8. Factor y(z).
-3*z**2*(z + 2)**2*(z + 4)
Let t = -1/378918 - -9851875/2652426. Factor 4/7 - 22/7*n - t*n**2.
-2*(n + 1)*(13*n - 2)/7
Factor -719/3*g**3 + 73/6*g**4 - 1/6*g**5 - 3745/6*g + 1943/3*g**2 + 1225/6.
-(g - 35)**2*(g - 1)**3/6
Let o(t) be the first derivative of t**3 + 93 + 0*t + 3/4*t**4 - 3*t**2. Factor o(d).
3*d*(d - 1)*(d + 2)
Factor -295*u**2 + 534*u + 293*u**2 - 394*u - 272.
-2*(u - 68)*(u - 2)
Suppose -5*l - 4*f + 162 = 0, -3*f = l - 1871 + 1821. Determine g so that -32/3*g**4 - 1/2 + 37/6*g + 40*g**3 - l*g**2 = 0.
1/4, 3
Let y(p) be the third derivative of p**5/30 + 41*p**4/4 - 1768*p**3/3 - 10*p**2 + p + 5. Factor y(s).
2*(s - 13)*(s + 136)
Suppose 88*w = 94*w - 18. Suppose 5*b**4 - 5*b + 10 - 5*b**3 + b**2 - 16*b**2 + 8*b**3 + 2*b**w = 0. What is b?
-2, -1, 1
Suppose 729*l + 2 = 730*l. Let m(s) = 2*s**2 - 98*s + 88. Let t(r) = 3*r**2 - 197*r + 174. Let j(c) = l*t(c) - 5*m(c). Find o, given that j(o) = 0.
1, 23
Suppose 14 - 19 = -4*d - 3*f, 0 = -3*d + 2*f + 8. Solve -30*w + 56 + 46*w**d - 28*w**2 - 17*w**2 = 0.
2, 28
Let b = -402 + 211. Let d = b + 1720/9. Factor -1/3*r**3 - 1/9*r**5 + 1/3*r**4 + d*r**2 + 0*r + 0.
-r**2*(r - 1)**3/9
Let r(u) = u**2 + 2*u + 1. Let l(h) = 7*h**2 + 1254*h - 2491. Let q(f) = -l(f) + 5*r(f). Factor q(t).
-2*(t - 2)*(t + 624)
Let y(m) be the third derivative of 1/10*m**5 + m + 1/40*m**6 + 1/8*m**4 + 0*m**3 + 5*m**2 + 0. Find l such that y(l) = 0.
-1, 0
Let q(b) be the second derivative of b**4/6 - 250*b**3/3 - 504*b**2 + 357*b + 3. Solve q(z) = 0.
-2, 252
Let r(t) = 35*t**3 + 225*t**2 - 505*t + 245. Suppose 13*c + 250 = -12*c. Let p(g) = -11*g**3 - 75*g**2 + 168*g - 82. Let f(n) = c*p(n) - 3*r(n). Factor f(u).
5*(u - 1)**2*(u + 17)
Suppose 0 = -11*z + 15*z - 48. Suppose 2*j - z*m - 9 = -7*m, 4*j - 5 = -3*m. Factor -5/3*k**5 - 175/3*k**3 - 125/3*k**j - 55/3*k**4 + 0 + 0*k.
-5*k**2*(k + 1)*(k + 5)**2/3
Let r(s) be the third derivative of 55/36*s**4 - 25/9*s**3 - 6*s**2 - 1/1260*s**7 + 0*s + 11/360*s**6 + 1 - 47/120*s**5. Find i such that r(i) = 0.
1, 10
Let k(u) be the first derivative of 5 + 0*u - 3*u**3 - 9*u**2 - 1/4*u**4. Factor k(v).
-v*(v + 3)*(v + 6)
Suppose -131*b + 750 = 95. Let g(k) be the first derivative of 352/27*k**3 - 7/27*k**6 - 76/9*k**4 + 12/5*k**b - 64/9*k - 16/3*k**2 + 1. Solve g(v) = 0.
-2/7, 2
Let x be (187/33)/((-2)/(-72)) + -4. Let m be -5 - (x/(-16) - -6). Factor 3/4*s**3 + m - 3/4*s**2 - 7/4*s + 1/4*s**4.
(s - 1)**2*(s + 2)*(s + 3)/4
Suppose -27/4*x**2 - 21 + 45/2*x + 3/8*x**3 = 0. What is x?
2, 14
Let v(h) be the third derivative of -h**5/12 - 25*h**4/6 - 30*h**3 + 2*h**2 + 244*h - 1. Find d, given that v(d) = 0.
-18, -2
Let g(n) be the first derivative of n**4/2 - 28*n**3/3 - 132*n**2 + 2160*n + 15207. Solve g(u) = 0.
-10, 6, 18
Suppose -63*l = -191*l - 36*l. Let s(d) be the second derivative of 13*d + 0 - 1/273*d**7 + l*d**2 + 0*d**6 + 0*d**3 + 3/130*d**5 - 1/39*d**4. Factor s(f).
-2*f**2*(f - 1)**2*(f + 2)/13
Let d(r) be the first derivative of r**6/1980 - 23*r**5/330 + 529*r**4/132 - 26*r**3/3 + 107. Let p(m) be the third derivative of d(m). Factor p(i).
2*(i - 23)**2/11
Let o(v) be the third derivative of -v**7/42 - 5*v**6/6 + 91*v**5/12 - 295*v**4/12 + 40*v**3 + 2392*v**2. Factor o(h).
-5*(h - 2)*(h - 1)**2*(h + 24)
Suppose 33 = -3*z + 3*w, 4*z + 4*w = 26 - 102. Let d be z*78/143 + 10. Suppose -74/11*o + 14/11*o**2 + d = 0. What is o?
2/7, 5
Let s = 11695 + -23333/2. Let 12 - 9*c**2 - s*c**3 + 42*c + 21/2*c**4 = 0. Calculate c.
-1, -2/7, 2
Let u(k) = -11*k**4 + k**3 + 5*k - 5.