(v + 1)/7
Let s(n) be the first derivative of 0*n + 1/7*n**4 + 26 + 2/7*n**2 + 8/21*n**3. Let s(d) = 0. Calculate d.
-1, 0
Let q be (32/(-6))/((-1547)/102 - -14). Let j be 18/(-135) - (-3 + 26/30). Factor 20/7*b**j + 16/7 - q*b - 4/7*b**3.
-4*(b - 2)**2*(b - 1)/7
Factor -94/5*s - 26/5*s**2 - 2/5*s**3 - 14.
-2*(s + 1)*(s + 5)*(s + 7)/5
Let j = -3/10 - -171/70. Let v be (-8)/(-10)*(-9)/((-162)/45). Solve -36/7*w**v - 27/7*w - j*w**3 - 6/7 = 0.
-1, -2/5
Let k(d) be the first derivative of -6*d**2 - 9*d - 15. Let b be k(-4). Let 144 - 27*v**5 - 72 - 66 + b*v - 12*v**3 - 60*v**4 + 54*v**2 = 0. Calculate v.
-1, -2/9, 1
Let f(n) = 3*n**2 - 109*n + 76. Let b(h) = -3*h**2 + 111*h - 72. Let y(a) = 5*b(a) + 6*f(a). Factor y(q).
3*(q - 32)*(q - 1)
Let k(v) = 9*v**2 - 79*v - 48. Let s(x) = -13*x**2 + 118*x + 71. Let t be ((-133)/(-57))/((-7)/3 + 2). Let l(u) = t*k(u) - 5*s(u). Solve l(y) = 0.
-1/2, 19
Suppose 15*g + 14 - 104 = 0. Let n be (-72)/g + 11 + (-13)/(-5). Solve 4/5*p**3 + 2/5*p**4 + 6/5 - n*p**2 - 4/5*p = 0 for p.
-3, -1, 1
Let s(f) be the second derivative of 7/40*f**5 + 1/3*f**3 + 5/4*f**4 - 1/60*f**6 + 144*f - 10*f**2 + 0. Factor s(p).
-(p - 10)*(p - 1)*(p + 2)**2/2
Let h(z) be the second derivative of 9*z**5/50 - 43*z**4/30 - 64*z**3/15 - 12*z**2/5 + 4*z + 1. Find s, given that h(s) = 0.
-1, -2/9, 6
Let d(f) be the third derivative of -f**7/42 + 5*f**6/6 + 67*f**5/12 + 115*f**4/12 - 12*f**2 - 11. Let d(j) = 0. Calculate j.
-2, -1, 0, 23
Let o = -102 + 112. Factor 13*i**4 + 5*i**3 + 2*i**4 - 15*i**3 - o*i**4.
5*i**3*(i - 2)
Let d = 17 + -2. Let -d*c + 3*c + 2*c - 15*c**2 + 8*c**3 + 5*c**4 - 8*c**3 = 0. Calculate c.
-1, 0, 2
Let n(m) be the first derivative of -330 + 4/7*m**3 - 61/7*m**2 + 20/7*m. Solve n(o) = 0 for o.
1/6, 10
Factor 18*x + 0 + 13/2*x**2 + 1/2*x**3.
x*(x + 4)*(x + 9)/2
Determine l, given that -34/3*l**2 + 134/9*l - 14/9*l**3 + 220/9 + 2/9*l**4 = 0.
-5, -1, 2, 11
Let f be ((-864)/14)/6*7/((-154)/33). Factor f*g + 3/7*g**2 + 972/7.
3*(g + 18)**2/7
Let w(u) = -3*u**3 - 3*u**2 - 2*u - 3. Let l(q) = -2058*q**3 + 10*q**2 + 2068*q + 2. Let h(k) = -l(k) - 2*w(k). What is z in h(z) = 0?
-1, 1/516, 1
Let t(c) be the first derivative of 2/7*c**4 + 58 + 8/7*c**2 + 22/7*c**3 + 0*c. Solve t(i) = 0.
-8, -1/4, 0
Let m(c) be the third derivative of -c**5/30 - 203*c**4/12 + 410*c**3/3 + 724*c**2 + 4*c. Factor m(g).
-2*(g - 2)*(g + 205)
Let x be (-84936)/23058 - (-12)/54. Let g = -2/61 - x. Find v such that 4/7*v**2 + 36/7 - g*v = 0.
3
Let m = 2653 - 2653. Let g(r) be the third derivative of 0*r**3 + 0*r - 10*r**2 + 1/192*r**4 + m + 1/480*r**5. Solve g(z) = 0.
-1, 0
Let s(d) be the third derivative of d**7/490 - d**6/70 - d**5/140 + d**4/14 - 908*d**2. Factor s(y).
3*y*(y - 4)*(y - 1)*(y + 1)/7
Let t(a) be the first derivative of -2*a**3/39 - 22*a**2/13 + 46*a/13 + 965. Suppose t(q) = 0. Calculate q.
-23, 1
Solve -1427*x + 1160*x - 8724283*x**2 - 1593*x + 1859 + 8724284*x**2 = 0.
1, 1859
Let k = 2336/567 - 326/81. Let b(m) be the second derivative of 5/21*m**3 - 1/70*m**5 - k*m**4 + 25*m + 0 + 0*m**2. Find d such that b(d) = 0.
-5, 0, 1
Let w = -71 + 91. Solve -15*s**2 + s**4 - w*s**3 + 0*s**2 - 6*s**4 = 0.
-3, -1, 0
Let q(s) be the first derivative of 4*s**5/25 - 12*s**4/5 + 28*s**3/5 + 164*s**2/5 + 192*s/5 - 1623. Factor q(m).
4*(m - 8)*(m - 6)*(m + 1)**2/5
Let h = 64782 - 64780. Suppose -3/2*q**h - 3/2*q + 3 = 0. Calculate q.
-2, 1
Let o(i) = i**3 - 13*i**2 + 3. Let f be o(13). Let -20/3*u + 0 + 35/3*u**f + 20/3*u**4 - 5*u**5 - 20/3*u**2 = 0. What is u?
-1, -2/3, 0, 1, 2
Let k(g) = -5*g**2 + 437*g + 190. Let q(i) = -31*i**2 + 2621*i + 1088. Let u(x) = -13*k(x) + 2*q(x). Factor u(p).
(p - 147)*(3*p + 2)
Let w = 1664 - 1634. Suppose w*i - 56 = 2*i. Factor 3/4*d**i + d + 1/4.
(d + 1)*(3*d + 1)/4
Let l be (-16)/(-96) + (-7)/(840/(-268)). Suppose w - 2 = b, 2*w - 7*w = 2*b - 17. Find n, given that 3/5*n**5 - l*n**4 + 12/5*n**2 + 0 - 12/5*n + 9/5*n**w = 0.
-1, 0, 1, 2
Let w be -5*(-49)/175 + (-6)/(-10). Solve 206*m**4 - 40*m**4 - 532*m**3 - 40*m + 69*m**4 + 260*m**w + 122*m**3 - 45*m**5 = 0 for m.
0, 2/9, 1, 2
Let i(o) be the first derivative of -4*o**3/15 + 452*o**2/5 - 180*o - 8080. Factor i(x).
-4*(x - 225)*(x - 1)/5
Let a be 135/108*(-2)/(-300)*12. Factor 6/5 - a*n**2 - 1/10*n.
-(n - 3)*(n + 4)/10
Let j = -12 + 31. Suppose 3*v = 5*z - 23, 4*z + 4*v = 7*v + j. Solve 70*c**4 - 66*c**z - 12 + 5*c**2 + 16*c**3 - 16*c + 3*c**2 = 0 for c.
-3, -1, 1
Let w = -765/2 + 385. Let c(l) be the first derivative of 0*l - 5/3*l**3 - w*l**2 - 23. Factor c(d).
-5*d*(d + 1)
Let w(t) be the first derivative of t**6/15 + 24*t**5/25 + 19*t**4/10 - 72*t**3/5 - 4*t**2 + 192*t/5 + 2579. Solve w(c) = 0.
-8, -6, -1, 1, 2
Let l(k) be the third derivative of k**8/840 - 26*k**7/525 + k**6/25 + 163*k**5/75 - 13*k**4/60 - 20*k**3 + 5598*k**2. Let l(h) = 0. What is h?
-3, -1, 1, 4, 25
Let i = 9612 + -9612. Let g(x) be the third derivative of 0*x**4 + 0 + 24*x**2 + i*x**3 - 1/180*x**5 + 0*x. Suppose g(w) = 0. What is w?
0
Suppose 8*m - 13*m + 33 = f, 18 = 5*m - 4*f. Find q, given that -m - 4*q**3 - 22*q + q - 9*q - 21*q**2 + q = 0.
-3, -2, -1/4
Find t, given that -190/3*t - 175/3*t**2 + 5/3*t**3 + 120 = 0.
-2, 1, 36
Factor -105*c - 415/4 - 5/4*c**2.
-5*(c + 1)*(c + 83)/4
Let g(s) = -2*s**2 - 12*s - 10. Let t(k) = 30 + k + 0*k - 38. Let i be t(3). Let c(j) = -2*j**2 - 13*j - 11. Let u(y) = i*g(y) + 4*c(y). Factor u(b).
2*(b + 1)*(b + 3)
Let y(v) be the third derivative of v**6/160 - 107*v**5/80 - 55*v**4/16 + 27*v**3 - v**2 + 76. Factor y(l).
3*(l - 108)*(l - 1)*(l + 2)/4
Let v(l) be the third derivative of -l**7/105 + 7*l**6/60 + 19*l**5/30 - 7*l**4/12 - 6*l**3 + 2228*l**2. Determine w so that v(w) = 0.
-2, -1, 1, 9
Factor -621/5*c**2 + 108/5 + 52/5*c**3 + 1836/5*c.
(c - 6)**2*(52*c + 3)/5
Let v(i) = i**3 + 3*i + 4. Let j(m) be the second derivative of 0 + 15*m + m**3 + 9/2*m**2 + 1/10*m**5 - 1/12*m**4. Let g(f) = -6*j(f) + 14*v(f). Factor g(h).
2*(h + 1)**3
Let g(d) = -d**3 + 9*d**2 + 10*d - 87. Let x be g(9). Suppose -n = -2*n - 3*w - x, 1 = -2*n - w. Factor 1/8*q**2 + 1/8*q**4 + 1/4*q**3 + n + 0*q.
q**2*(q + 1)**2/8
Factor -359270 - 2096*r**2 - 13517 - 276660*r - 537*r**3 - 172181 + 533*r**3.
-4*(r + 2)*(r + 261)**2
Let r be -33 + (-10560)/(-210) + 68/(-4). Factor 0*m**3 + r*m - 2/7*m**5 + 0 + 4/7*m**4 - 4/7*m**2.
-2*m*(m - 1)**3*(m + 1)/7
Let w be (0/(-7))/(-1*(9 + (-5 - 3))). Factor w + 20/3*i - 1/3*i**3 + 8/3*i**2.
-i*(i - 10)*(i + 2)/3
Let o(s) = 49*s**4 + 2381*s**3 + 3651*s**2 + 1498*s + 188. Let p(k) = -k**3 + 10*k. Let h(d) = o(d) + p(d). Solve h(r) = 0 for r.
-47, -1, -2/7
Suppose 10*f = 3*o + 6*f - 56, -o = -5*f - 37. Let i be 8/o*((-858)/(-102) + -1). Let 18/17*n**2 - i*n + 98/17 = 0. Calculate n.
7/3
Let x(u) be the first derivative of -u**4/20 - 2*u**3/5 + 63*u**2/10 - 169*u + 66. Let t(z) be the first derivative of x(z). Find b such that t(b) = 0.
-7, 3
Let k be 6*((-301)/(-42) + -7). Let q be 1*5 + k + (-84)/20. Determine w so that -1/5*w**3 + 2/5 - 3/5*w - q*w**2 + 3/5*w**4 = 0.
-1, 1/3, 2
Let u(b) be the second derivative of 0 - 31*b - 184/9*b**3 - 125/18*b**4 + 1/63*b**7 + 1/9*b**6 - 80/3*b**2 - 17/30*b**5. Solve u(o) = 0.
-4, -1, 5
Let t(u) be the third derivative of u**5/12 + 115*u**4/24 - 20*u**3 + 5241*u**2. Factor t(p).
5*(p - 1)*(p + 24)
Factor -2*n**3 + 561/4*n**2 - 71/4 + 249/2*n.
-(n - 71)*(n + 1)*(8*n - 1)/4
Let z(l) = -l**3 + 5*l**2 + 3*l - 25. Let v = 1767 + -1764. Let r be z(v). Factor 0 + 3/2*n + 1/2*n**r.
n*(n + 3)/2
Let g(w) be the first derivative of -w**6/18 + 2*w**5/3 - 5*w**4/2 + 40*w**3/9 - 25*w**2/6 + 2*w - 307. Factor g(x).
-(x - 6)*(x - 1)**4/3
Let w(r) be the second derivative of -r**6/150 - r**5/5 + 139*r**4/60 + 35*r**3/3 + 8707*r. Factor w(q).
-q*(q - 7)*(q + 2)*(q + 25)/5
Let l(k) be the first derivative of -k**4/26 - 206*k**3/39 - 400*k**2/13 - 792*k/13 + 10101. Factor l(y).
-2*(y + 2)**2*(y + 99)/13
Let d = -5460 - -5469. Let u(n) be the first derivative of -d - 4/3*n**3 - 2/5*n - n**4 - 2/5*n**5 - 1/15*n**6 - n**2. Factor u(a).
-2*(a + 1)**5/5
Let h(g) be the first derivative of 3*g**4/4 - 39*g**3 - 2052*g**2 - 27216*g - 3430. Solve h(y) = 0 for y.
-12, 63
Let k(s) be the first derivative of s**4 + 246 + 64/3*s**3 + 0*s + 0