 -z*t**3 - 9/5*t**2 - 27/5 - 27/5*t = 0. Calculate t.
-3
Let t(h) = -9*h - 86. Let y be t(-23). Let -28 - 120*i + y*i**2 - 13*i**4 - 5*i**5 - 152 + 45*i**3 - 6*i**2 - 5*i**4 + 3*i**4 = 0. Calculate i.
-3, -1, 2
Let t(i) = -32*i**2 + 3128*i - 3166. Let f(o) = -10*o**2 + 1044*o - 1055. Let h(c) = 10*f(c) - 3*t(c). Let h(r) = 0. What is r?
1, 263
Let y(a) = -a**3 + 16*a**2 - 52*a + 12. Let f be y(5). Let v be 8 + f*8/(-28). Factor 4/7*p + 0 - v*p**2.
-2*p*(p - 2)/7
Factor -38/15*a**2 + 0 + 12/5*a + 2/15*a**3.
2*a*(a - 18)*(a - 1)/15
Suppose -24 = 4*c - 8*c. Let f(k) = -2*k**3 + 29*k**2 + 63*k + 49. Let j(y) = 3*y**3 - 30*y**2 - 63*y - 48. Let s(m) = c*f(m) + 5*j(m). Factor s(w).
3*(w + 2)*(w + 3)**2
Let g(s) be the first derivative of s**4/4 - s**3/2 + 59*s + 29. Let m(y) be the first derivative of g(y). Factor m(z).
3*z*(z - 1)
Let k(z) be the second derivative of 5*z**7/42 + 5*z**6/6 - 27*z**5/4 - 425*z**4/12 + 565*z**3/3 - 300*z**2 - 3459*z. Determine q so that k(q) = 0.
-6, -5, 1, 4
Let d(s) be the third derivative of s**6/30 + 124*s**5/3 + 95477*s**4/6 - 386884*s**3/3 - 3550*s**2. Determine i so that d(i) = 0.
-311, 2
Let f = -23/124 + 25/93. Let x(z) be the second derivative of -1/9*z**3 + 1/90*z**6 + 0 + 0*z**5 + 0*z**2 - f*z**4 - 32*z. Find n such that x(n) = 0.
-1, 0, 2
Suppose 3*u + 27 = 22*p - 18*p, -4*u = 5*p + 5. Suppose 397*d**2 - 96 + 402*d**2 - 1146*d**2 + 27*d**3 + p*d**4 + 413*d**2 = 0. What is d?
-4, -2, 1
Let a(t) be the third derivative of t**5/60 - 19*t**4/24 - 20*t**3/3 - 9*t**2. Let p be a(21). Determine u so that 5*u**p + 33*u + 20 - 2*u - 6*u = 0.
-4, -1
Suppose -4227*p + 4235*p - 80 = 0. Let j be (-62)/310*p/(-4). Factor -5/4*x**2 - j*x - 1/4*x**4 + 0 - x**3.
-x*(x + 1)**2*(x + 2)/4
Suppose 52*h + 10 = 57*h. Find t such that -42*t + 1 + 21*t**2 - 33*t**2 + 17*t**h + 15 = 0.
2/5, 8
Solve 2/9*s**3 + 118/9*s**2 + 94*s + 170 = 0 for s.
-51, -5, -3
Let a(z) = -2*z + 15. Let f be a(12). Let m be 2*9/(f/(-8)). Let -15*v**4 + 9 + 9*v**2 + 21*v - 3*v**2 + m*v**3 - 3*v**5 - 34*v**3 = 0. What is v?
-3, -1, 1
Solve -48 + 2*n**2 - 239 + 8*n - 252 + 23 + 74 = 0 for n.
-17, 13
Let t(c) be the second derivative of -16*c + 0 + 1/300*c**5 - 8*c**2 + 7/60*c**4 + 49/30*c**3. Let h(y) be the first derivative of t(y). Solve h(d) = 0 for d.
-7
Suppose 0 = -3*i + 4*x - 14, 13*i + x = 9*i + 13. Factor -1470 + 120*g + 0*g**2 - 579 - i*g**2 + 249.
-2*(g - 30)**2
Let u(z) be the first derivative of z**3/18 + 854*z**2/3 + 1458632*z/3 - 5676. Find o, given that u(o) = 0.
-1708
Let t be (-6 + 13)*(96/128)/((-210)/(-64)). Let t + 18/5*x + 12/5*x**2 + 2/5*x**3 = 0. Calculate x.
-4, -1
Let m be (5 - (-1144)/(-231))*(2 + 1). Let b(d) be the first derivative of 5 - 6/7*d + 9/14*d**2 - m*d**3. Factor b(a).
-3*(a - 2)*(a - 1)/7
Let y(k) = k**2 - 3*k + 11. Let t be y(3). Let n(s) = 3*s**2 + 6*s - 9. Let f(r) = 8*r**2 + 18*r - 27. Let h(m) = t*n(m) - 4*f(m). Factor h(j).
(j - 3)**2
Let k(q) be the first derivative of q**8/840 - 13*q**7/420 + 23*q**6/90 - q**5/5 - 6*q**4 - 31*q**3 - 53. Let c(j) be the third derivative of k(j). Factor c(h).
2*(h - 6)**2*(h - 2)*(h + 1)
Let q(z) be the third derivative of z**5/150 + 683*z**4/15 + 1865956*z**3/15 + 4*z**2 + 17*z - 12. Suppose q(j) = 0. Calculate j.
-1366
Suppose -327 = -2*u - 5*g, 20*u = 25*u - 5*g - 800. Let r be (-92)/u - (-18)/7. Find l such that 12/5*l**3 + 3/5*l**4 + 18/5*l**r + 12/5*l + 3/5 = 0.
-1
Let a(k) = -6*k**3 + 15*k**2 - 8*k**2 - 2*k**2 - 4*k**3 - 2*k. Let m(u) = -3*u**3 + 2*u**2 - u. Let f(y) = -4*a(y) + 14*m(y). Factor f(w).
-2*w*(w - 3)*(w - 1)
Let l(s) be the first derivative of 9/5*s**5 + 9/2*s**2 - 3*s - 2*s**3 - 3/2*s**4 + 47 - 1/2*s**6. Let l(v) = 0. Calculate v.
-1, 1
Let q(h) be the first derivative of -5*h**6/6 - 2*h**5 + 30*h**4 - 2796. Let q(w) = 0. Calculate w.
-6, 0, 4
Suppose 618/11*o**2 + 2/11*o**4 - 90/11*o**3 + 444/11 - 974/11*o = 0. What is o?
1, 6, 37
Let o(p) be the second derivative of -1/180*p**6 + 0 + 0*p**4 + 0*p**2 - 31*p + 1/120*p**5 + 0*p**3. Factor o(y).
-y**3*(y - 1)/6
Let m(a) be the second derivative of 2601/4*a**2 - 17/2*a**3 + a - 80 + 1/24*a**4. What is n in m(n) = 0?
51
Let c(n) be the first derivative of -117/10*n**4 + 68/5*n**2 + 244/15*n**3 - 67 + 16/5*n - 162/25*n**5. Find p, given that c(p) = 0.
-2, -2/9, 1
Let s(n) be the second derivative of -n**5/30 + 179*n**4/18 - 178*n**3/9 - 892*n. Factor s(k).
-2*k*(k - 178)*(k - 1)/3
Let 62/5*w - 8/15 - 116/5*w**2 + 34/3*w**3 = 0. What is w?
4/85, 1
Let 866 + 402*u - 395 + 345 - 3*u**2 = 0. What is u?
-2, 136
Suppose -q - 46 = -3*s - 93, -2*q + 85 = 3*s. Let p be 682/q*(-1)/(-2) - 7. Factor 0 + 3/2*g**3 + 0*g - p*g**2 - 3/4*g**4.
-3*g**2*(g - 1)**2/4
Let l(k) be the third derivative of -4/3*k**4 + 2/105*k**7 + 1/6*k**6 + 2/15*k**5 + 0*k + 0*k**3 - 5 - 9*k**2. Factor l(c).
4*c*(c - 1)*(c + 2)*(c + 4)
Find a such that -12005/2 - 3871/6*a - 113/6*a**2 - 1/6*a**3 = 0.
-49, -15
Factor -1/3*q**3 - 2704/3 - 884/3*q - 56/3*q**2.
-(q + 4)*(q + 26)**2/3
Let q = -8244/49 - -837814/4851. Let r = 50/9 - q. Determine w, given that 6/11*w**2 + r + 2*w = 0.
-3, -2/3
Factor -80/3 + 26*a + 2/3*a**2.
2*(a - 1)*(a + 40)/3
Let o(c) be the third derivative of c**7/70 + 11*c**6/60 + c**5/12 - 7*c**4/12 + 599*c**2. Find w, given that o(w) = 0.
-7, -1, 0, 2/3
Let o(j) = -j**5 + 5*j**4 - 9*j**3 - 2*j**2 + 4*j - 3. Let h = 113 - 111. Let a(p) = p**5 - p**4 + p**3 + 1. Let w(x) = h*o(x) + 6*a(x). Factor w(k).
4*k*(k - 1)**2*(k + 1)*(k + 2)
Let j(g) = -27*g**2 - g - 1. Let b(w) = 3*w**3 + 297*w**2 + 267*w + 135. Let u(h) = -b(h) - 6*j(h). Factor u(c).
-3*(c + 1)**2*(c + 43)
Let l(k) be the second derivative of 1/12*k**3 + 0*k**2 + 1/48*k**4 + 0 - 16*k. What is c in l(c) = 0?
-2, 0
Suppose 0 = 4*d + 3*a - 129, 6*d = d + 3*a + 195. Suppose -d*q + 38*q = 18. Factor q - 4 + l**2 - 5 + 3*l - 4.
(l - 1)*(l + 4)
Let d(s) = 5*s - 48. Let a be d(10). Suppose -18*m - a*m = 0. Factor m + 0*t + 0*t**2 + 2/11*t**4 - 6/11*t**3.
2*t**3*(t - 3)/11
Let n(b) be the third derivative of 0*b + 0 + 3/5*b**3 + 1/100*b**5 + 84*b**2 + 7/40*b**4. Suppose n(p) = 0. What is p?
-6, -1
Let w(g) = 2*g**2 + 31*g - 64. Let z be w(2). Suppose 48 = z*s + 42. Let 39/4*f**2 - f - s + 37/2*f**3 + 35/4*f**4 = 0. What is f?
-1, -2/5, 2/7
Let a(j) = -10*j**2 + 980*j + 594. Let m(x) = -40*x**2 + 3923*x + 2379. Let s(h) = -9*a(h) + 2*m(h). Solve s(z) = 0.
-3/5, 98
Let t(j) = -j**3 - 2*j**2 - 8*j. Let l(n) = -n**4 - 10*n**3 + 199*n**2 + 616*n - 11664. Let q(o) = -5*l(o) + 20*t(o). Factor q(p).
5*(p - 9)**2*(p + 12)**2
Let j be 0 - (50/(-14) + 16/28). Factor 50*u**2 + 6*u**j + 20*u + 10 + 9*u**3 - 29 - 21.
5*(u + 2)**2*(3*u - 2)
Let c(s) be the second derivative of -s**4/4 + 645*s**3 - 1248075*s**2/2 + 3*s - 74. Factor c(a).
-3*(a - 645)**2
Let h(y) = 57*y + 387. Let f be h(-7). Let x be 0 + f/(-18) - 3/(-9). Factor 0*l - 3/4*l**3 - 7/4*l**2 + x.
-(l + 1)*(l + 2)*(3*l - 2)/4
Suppose 4900 + 15056*a + 11339*a - 678*a**3 + 10714*a**2 + 10*a**4 + 275*a = 0. Calculate a.
-2, -1/5, 35
Let b(x) be the third derivative of -4*x**3 - 3 + 1/112*x**8 + 20*x**2 + 11/40*x**6 + 1/10*x**5 + 3/35*x**7 - 3/2*x**4 + 0*x. Factor b(k).
3*(k - 1)*(k + 1)*(k + 2)**3
Let v(b) be the first derivative of -b**6/180 + 4*b**5/15 + b**3/3 - 35*b + 131. Let x(y) be the third derivative of v(y). Suppose x(j) = 0. What is j?
0, 16
Let k(a) be the third derivative of a**8/1344 - a**7/140 - 1806*a**2. Determine u so that k(u) = 0.
0, 6
Let g be ((-1)/1)/(470/(-940)). Let v(y) be the first derivative of -3/20*y**g - 1/30*y**3 + 21 + 0*y. Factor v(x).
-x*(x + 3)/10
Let o(w) be the first derivative of w**4/4 + 34*w**3/3 + 190*w**2 + 1400*w + 838. Factor o(i).
(i + 10)**2*(i + 14)
Let w(b) be the first derivative of -b**5/25 + 7*b**4/10 + 17*b**3/15 - 3*b**2 - 5169. Determine n so that w(n) = 0.
-2, 0, 1, 15
Let a = 21 - 19. Let s(v) = -17*v + 394. Let l be s(23). Suppose -14/13*k**a + 18/13*k**l - 8/13 - 24/13*k + 6/13*k**5 + 22/13*k**4 = 0. Calculate k.
-2, -1, -2/3, 1
Let p(h) = 8*h**2 - 30*h - 32. Let j(g) = -10*g**2 + 31*g + 32. Suppose -x - 48 = -9*x. Let r(d) = x*j(d) + 7*p(d). Solve r(b) = 0.
-4, -2
Suppose 2*j = -g - 52*j + 812, 5*g - 70 = -4*j. Find u such that 13/2*u**g - 23/2*u + 11/2 - 1/2*u**3 = 0.
1, 11
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