n).
2*(n - 5)*(n + 18)/7
Let c = 146 - 125. Suppose 22 - 4*q**3 - 7*q**3 + 10*q**3 - c*q - q**3 - 45*q**2 = 0. Calculate q.
-22, -1, 1/2
Let a be 63/(-15)*(1570/180 + -9). Let s(q) be the first derivative of 3*q - a*q**3 - 23 - 1/4*q**2. Solve s(o) = 0 for o.
-1, 6/7
Let x = 1343 + -4028/3. Let k(a) be the second derivative of 0 + 0*a**2 + x*a**3 + 14*a - 1/12*a**4. Factor k(m).
-m*(m - 2)
Let y(g) be the third derivative of 0 + 1/48*g**6 + 74*g**2 + 1/252*g**7 + 0*g**4 + 0*g**3 - 1/18*g**5 - g. Solve y(o) = 0 for o.
-4, 0, 1
Let y be 0 + -3 + -2 - -1. Let j be 13/52 - (15/y - -2). Factor -k + 0*k - 9*k**j + k**2 - 4*k**3 - 3*k.
-4*k*(k + 1)**2
Let f be 3/(9 + (-12 - -4)). Let v be 0/(-1 + f - (3 + -2)). Factor 2/15*r**3 + v*r + 0 + 2/15*r**2.
2*r**2*(r + 1)/15
Let a(v) be the second derivative of v**4/28 - 2*v**3/7 - 33*v**2/2 - 557*v + 2. Factor a(w).
3*(w - 11)*(w + 7)/7
Let o(v) be the third derivative of -v**7/315 - 37*v**6/180 - 31*v**5/9 - 49*v**4/3 + 104*v**3 - 648*v**2. Determine k so that o(k) = 0.
-26, -6, 1
Suppose -16 = -7*b + 3*b, -i + 23 = 4*b. Let r be (i - 0) + (-40)/10 + 1. Factor -5/2*z**3 - 1/2*z**5 + 0 + 0*z - z**2 - 2*z**r.
-z**2*(z + 1)**2*(z + 2)/2
Suppose 5829 = 120*z - 117*z. Let p = 1943 - z. Determine s, given that 0 + p*s**2 - s**5 - 7/2*s**3 - 15/2*s**4 + 0*s = 0.
-7, -1/2, 0
Let u be (-1)/(-5)*(-273)/(-7371). Let p(m) be the third derivative of u*m**5 + 2/9*m**3 + 0 - 5/54*m**4 + 1/270*m**6 + 0*m + 31*m**2. Factor p(j).
4*(j - 1)**2*(j + 3)/9
Suppose -2*y = 4*w - 10, 0 = 4*y - y + 2*w - 19. Suppose 0 = 9*i - 70 + y. Find h such that -20*h**4 + 6*h**4 + 12*h**3 + 14*h**2 - h**5 - 4*h - i*h**5 = 0.
-2, -1, 0, 1/4, 1
Let f = 2223 + -346. Let m = 24403/13 - f. Solve -2/13*i**4 + 6/13*i**2 + 2/13*i - 4/13 - m*i**3 = 0 for i.
-2, -1, 1
Let w(m) be the first derivative of -m**4/6 - 26*m**3/3 + 85*m**2/3 + 82*m - 494. Factor w(g).
-2*(g - 3)*(g + 1)*(g + 41)/3
Suppose 0 = 20*i - 25*i + 55. Suppose i = 8*r - 13. Let -6*n**3 + 3*n + 6*n**4 - r*n**2 - 3*n**4 + 3*n = 0. What is n?
-1, 0, 1, 2
Suppose 5*v - k = 8*v - 0*k - 15, -3*k = 27. Let 3*o**5 - 10*o**3 - 30*o**2 - v*o + 29/4*o**4 + 4 = 0. Calculate o.
-2, -2/3, 1/4, 2
Let q(m) = -m**2 - 2. Let t(r) = -3*r**2 - 9. Let d(n) = 4*q(n) - t(n). Let f(l) = -l**3 + 19*l**2 + 28*l - 7. Let j(i) = 21*d(i) + 3*f(i). Factor j(a).
-3*a*(a - 14)*(a + 2)
Let f(x) be the first derivative of 4*x**3/3 + 794*x**2 - 1592*x - 4086. Factor f(y).
4*(y - 1)*(y + 398)
Solve -496/11*n - 18/11*n**4 - 200/11*n**2 + 156/11*n**3 - 192/11 = 0 for n.
-2/3, 4, 6
Let g be (-88)/(-4 + 10/5). Let d = 44 - g. Solve d + 9/7*b**4 + 0*b**3 + 3/7*b**5 + 0*b + 0*b**2 = 0.
-3, 0
Let q(l) be the third derivative of -l**6/660 - 17*l**5/330 - 109*l**2. Factor q(f).
-2*f**2*(f + 17)/11
Suppose 15*o + 17901 = -12*o. Let l be (o/130)/(2/(-5)) + -4. Let -33/2*j**4 + 3*j**2 - l*j**5 - 23/4*j**3 + j + 0 = 0. Calculate j.
-1, -2/7, 0, 2/5
Let n(l) be the second derivative of -l**5/30 - 61*l**4/18 - 58*l**3/3 - 3120*l. Suppose n(z) = 0. What is z?
-58, -3, 0
Let t = -5779 + 5779. Let l(w) be the third derivative of -1/36*w**4 + 0*w - 14*w**2 + 1/180*w**5 + t*w**3 + 0 + 1/360*w**6. Factor l(x).
x*(x - 1)*(x + 2)/3
Let p be ((-133)/(-76))/((-7)/(-3)). Let b be 36/24 + 6/(-8). Factor -3/2 + p*z**2 - b*z.
3*(z - 2)*(z + 1)/4
Suppose 20*a - 76 = -6*a + 7*a. Let q(g) be the first derivative of -2/3*g**3 + g**a + 0*g**2 + 0*g - 2/5*g**5 + 2. Suppose q(s) = 0. What is s?
0, 1
Let k = 82313 - 1563945/19. Solve -46/19*y**2 + 56/19*y + 16/19*y**3 - k*y**4 - 24/19 = 0.
1, 2, 3
Let a(h) be the third derivative of 4/15*h**5 - 2 + 4/15*h**6 + 0*h + 54*h**2 + 2/35*h**7 + 0*h**3 + 0*h**4. Determine x so that a(x) = 0.
-2, -2/3, 0
Let w = 21510184401/173204 + -2359603/19. Let v = w + -2/2279. Let -v*y**2 + 1/4*y + 1/2 = 0. What is y?
-1, 2
Let r be ((0 + 90)/(-9))/2 + 7. Let m(n) be the second derivative of -1/8*n**4 - 14*n + 0 - 15/4*n**r - 3/2*n**3. Factor m(c).
-3*(c + 1)*(c + 5)/2
Let r(d) = -13*d**2 + 377*d + 788. Let x(b) = 6*b**2 - 188*b - 392. Let z(n) = 4*r(n) + 9*x(n). Suppose z(y) = 0. What is y?
-2, 94
Let v(d) be the first derivative of -28*d**5/5 + 36*d**4 - 104*d**3/3 - 120*d**2 + 36*d - 3600. What is z in v(z) = 0?
-1, 1/7, 3
Let s(i) be the first derivative of 1/12*i**3 + 25 - 13/2*i**2 + 169*i. Factor s(x).
(x - 26)**2/4
Let d(m) be the first derivative of 4*m**3/3 - 230*m**2 - 1416*m + 2377. Factor d(v).
4*(v - 118)*(v + 3)
Let k(q) be the second derivative of q**5/5 + 13*q**4/3 - 130*q**3/3 + 102*q**2 + 2659*q. Factor k(a).
4*(a - 3)*(a - 1)*(a + 17)
Let p(m) be the first derivative of m**4/14 + 101*m**3/21 - 34*m**2/7 + 217*m - 102. Let y(w) be the first derivative of p(w). Factor y(i).
2*(i + 34)*(3*i - 1)/7
Factor 2*y**4 + 58532*y**2 - 58532*y**2 - 40*y**3 + 0*y**4.
2*y**3*(y - 20)
Let o(q) be the first derivative of 27/7*q**2 + 125 + 1/7*q**3 + 0*q. Determine l so that o(l) = 0.
-18, 0
Let k(m) be the third derivative of -m**8/1512 - 8*m**7/189 - 37*m**6/36 - 10*m**5 + 20*m**4 + 1344*m**3 + 2*m**2 - 413*m. Suppose k(p) = 0. Calculate p.
-12, -7, 3
Let l(n) be the second derivative of n**4/12 - 634*n**3/3 + 200978*n**2 + 636*n. Determine x so that l(x) = 0.
634
Let g(n) be the third derivative of n**6/24 + n**5/3 + 25*n**4/24 + 5*n**3/3 - 4*n**2 + 4*n. Determine i, given that g(i) = 0.
-2, -1
Let c(t) = -8*t**5 - 40*t**4 - 296*t**3 - 688*t**2 + 2. Let d(x) = -3*x**5 + x**4 - x**3 - x**2 + 1. Let r(m) = c(m) - 2*d(m). Factor r(g).
-2*g**2*(g + 7)**3
Let p(d) be the second derivative of -d**6/60 - 32*d**5/5 + 65*d**4 - 784*d**3/3 + 524*d**2 + 484*d + 2. Let p(w) = 0. Calculate w.
-262, 2
Suppose -192/11 - 210/11*f**3 + 50/11*f**4 - 1000/11*f - 1392/11*f**2 = 0. Calculate f.
-3, -2/5, 8
Let b(l) = l**4 - 2*l**3 - l**2 - l + 1. Let v(r) = 9*r**4 - 43*r**3 + 196*r**2 - 316*r + 8. Let i(k) = 24*b(k) - 3*v(k). Factor i(n).
-3*n*(n - 14)*(n - 11)*(n - 2)
Find w such that 6*w**2 - 46 - 8*w**2 + 21*w + 3 + w**2 - 55 = 0.
7, 14
Let s(k) = -3*k + 2. Let r be s(-9). Let q = 7 + r. Find g such that 10*g**5 - q*g + 6*g + 140*g**3 - 240*g - 135 + 90*g**2 - 75*g**4 = 0.
-1, -1/2, 3
Let p(h) be the first derivative of -9*h**5/10 - 33*h**4/8 + 2*h**3 + 559. Factor p(m).
-3*m**2*(m + 4)*(3*m - 1)/2
Let i(g) be the second derivative of 551*g**5/10 - 550*g**4/3 + 547*g**3/3 + 2*g**2 + g - 572. Factor i(s).
2*(s - 1)**2*(551*s + 2)
Let a be 11 - ((-1431)/54 - -36). Suppose -27/4*p**2 - 27/2*p + 0 + a*p**3 + 3/4*p**4 = 0. Calculate p.
-3, -2, 0, 3
Suppose -5*a = -u - 67, -5*a - 2*u + 0*u + 61 = 0. Suppose 3 + 16*j**2 - a*j**3 + 7*j**3 - 2*j + 8*j**3 + j**4 - 20*j**2 = 0. Calculate j.
-3, -1, 1
Solve -939140517/5 - 4149369/5*h - 6111/5*h**2 - 3/5*h**3 = 0.
-679
Let q(t) be the first derivative of -15/4*t**4 + 51 - 27*t**3 - 45*t**2 - 24*t. Suppose q(d) = 0. Calculate d.
-4, -1, -2/5
Suppose 23*n + 5*w = 17*n - 43, 2*w + 26 = 2*n. Suppose 0 - 1/6*z**n + 2/3*z = 0. What is z?
0, 4
Suppose -47*f + 159 - 5 = -128. Let d(b) be the third derivative of -2/45*b**5 + 0*b - 1/180*b**f - 32*b**2 + 0*b**3 + 0 + 0*b**4. Find u such that d(u) = 0.
-4, 0
Let q be (108/(-168))/((16 - 22) + (-128)/(-14) + -4). Find r, given that q*r - 1/4*r**3 + 9/2 - r**2 = 0.
-3, 2
Let b(y) be the third derivative of y**5/6 - y**4/3 + 5*y**3/3 + 6*y**2 + 3*y. Let o(d) = -21*d**2 + 16*d - 21. Let w(p) = -13*b(p) - 6*o(p). Factor w(i).
-4*(i - 1)**2
Suppose 43*v = 52*v + 216. Let h be (1 + 2/4)/((-9)/v). Suppose -6*y**4 - 132*y**2 - 10*y**3 + 130*y**2 + h*y - 2*y = 0. What is y?
-1, 0, 1/3
Let j(v) = -7*v**3 - 2579*v**2 - 409533*v + 1679613. Let q(z) = -64*z**3 - 23212*z**2 - 3685796*z + 15116516. Let b(i) = 28*j(i) - 3*q(i). Factor b(a).
-4*(a - 4)*(a + 324)**2
Let x be (((-9717)/79)/615)/((-4)/5). Factor -1/2*a**2 + 3/2 + 5/4*a - x*a**3.
-(a - 2)*(a + 1)*(a + 3)/4
Find g, given that -67/4*g + 7/4*g**3 + 51/4*g**2 - 55/2 - 1/4*g**4 = 0.
-5, -1, 2, 11
Let 33627*i**2 + 6252*i - 4141*i**4 - 1719*i**4 + 48630*i**3 - 6383*i**4 - 2646*i**5 + 252 = 0. Calculate i.
-7, -2/7, -1/18, 3
Suppose -26*k = -25*k - 4. Let i be ((-96)/(-30))/k + 72/(-140). Find w, given that 8/7*w + 8/7*w**3 - 12/7*w**2 - 2/7*w**4 - i = 0.
1
Let d(q) be the first derivative of q**4/4 + 91*q**3/6 + 217*q