 14*m**2 - 30*m + 25. Find q such that r(q) = 0.
-15, -1, 1, 2
Let j(x) be the third derivative of 6*x + 0 + 4*x**2 - 2/15*x**5 + 0*x**3 - 1/30*x**6 + 1/2*x**4. Factor j(p).
-4*p*(p - 1)*(p + 3)
Let w(f) be the first derivative of -f**3/3 + 62*f**2 + 125*f - 4750. Suppose w(g) = 0. Calculate g.
-1, 125
Let r(z) be the first derivative of -5*z**3/3 - 80*z**2 + 1365*z + 7084. Factor r(s).
-5*(s - 7)*(s + 39)
Let d(g) be the first derivative of 27*g**3 + 12*g**2 + 363 - 334 - 26*g**3 - 27*g. Factor d(k).
3*(k - 1)*(k + 9)
Suppose 769*d + 393 - 1714 - 217 = 0. Factor 1/2*j**5 - 2*j**4 + 2*j**3 + j**d - 5/2*j + 1.
(j - 2)*(j - 1)**3*(j + 1)/2
Let j = -424476 + 424476. Let s be ((-12)/7)/(2/(-3)). Suppose s*c**2 - 27/7*c + j - 3/7*c**3 = 0. What is c?
0, 3
Let i = -99255 + 99259. Factor 3/5*r**5 + 0 + 0*r**i + 6/5*r**2 - 9/5*r**3 + 0*r.
3*r**2*(r - 1)**2*(r + 2)/5
Let h be ((-60)/9)/(-4)*(-8658)/(-9620). Factor -3/2*l**2 + h + 0*l.
-3*(l - 1)*(l + 1)/2
Let b(p) = -2*p**3 - 27*p**2 - 20*p + 39. Let x be b(-13). Suppose -x*j + 184*j = 0. Solve 2/5*k**2 + j + 8/5*k = 0 for k.
-4, 0
Let a(h) be the second derivative of 0*h**2 - 1/105*h**6 + 0 + 0*h**3 - 578/21*h**4 - 108*h - 34/35*h**5. Let a(n) = 0. Calculate n.
-34, 0
Let a = -6788 + 10433. Factor 14253*w**5 + 1080*w**3 - 14248*w**5 - a*w - 17*w**2 - 2413*w**2 - 130*w**4.
5*w*(w - 9)**3*(w + 1)
Let y be 7 + (-202 - -201)/(4/(152/(-10))). Factor y*q**2 + 0*q + 0 - 2/5*q**3.
-2*q**2*(q - 27)/5
Let m be (9/(-10))/(12/(-5)). Suppose -24*q - 287 - 127 = -d, 0 = 2*d + 3*q + 39. Factor -m*y**2 + 3*y - d.
-3*(y - 4)**2/8
Let y(p) = 54*p**3 + 2077*p**2 - 4481*p + 516. Let r(v) = 485*v**3 + 18690*v**2 - 40330*v + 4645. Let l(j) = 14*r(j) - 125*y(j). Let l(k) = 0. What is k?
-53, 1/8, 2
Let p(g) be the second derivative of -g**8/336 + g**7/84 + g**6/24 - 23*g**3/2 + 54*g. Let o(i) be the second derivative of p(i). Factor o(t).
-5*t**2*(t - 3)*(t + 1)
Suppose 0 = 14*s - 164 + 38. Let w(j) be the first derivative of -5/18*j**3 + 5/12*j**2 + 5/6*j - 5/24*j**4 + s. Solve w(h) = 0.
-1, 1
Let p(z) = 44*z**2 - 1706*z + 366356. Let g(d) = 37*d**2 - 1707*d + 366358. Let b(s) = 6*g(s) - 5*p(s). Suppose b(l) = 0. Calculate l.
428
Let l = -820 - -844. Suppose 2 = -v - w, -2*v + 41*w = 36*w - l. Factor 0 + 0*s - 2/7*s**v.
-2*s**2/7
Let k(d) be the third derivative of 1/100*d**5 - 88*d**2 + 1/525*d**7 + 0*d**3 + 0*d**4 + 0 - 1/120*d**6 + 0*d. Determine g, given that k(g) = 0.
0, 1, 3/2
Let u(n) be the second derivative of -64/3*n**3 + 1/3*n**4 + 0*n**2 + 0 + 276*n. Suppose u(p) = 0. What is p?
0, 32
What is y in 0*y**2 + 0*y - 4*y**3 - 4/9*y**4 + 0 = 0?
-9, 0
Let v(m) = m**3 + 4*m**2 - 2*m + 1. Let z(a) = -8*a**3 + 4132*a**2 - 1073284*a - 1077448. Let b(g) = 4*v(g) + z(g). Solve b(k) = 0.
-1, 519
Let c(f) be the second derivative of -f**5/90 + 32*f**4/27 - 1024*f**3/27 + 206*f + 1. Factor c(p).
-2*p*(p - 32)**2/9
Find g such that 925965/4 - 1/4*g**4 + 83/2*g**3 + 68229/2*g - 2223*g**2 = 0.
-5, 57
Let j = -10 + 6. Let i = 104 + -69. Let o(v) = 10*v**2 + 35*v - 45. Let x(l) = l**2 + 4*l - 5. Let d(q) = i*x(q) + j*o(q). Factor d(z).
-5*(z - 1)*(z + 1)
Let a(p) be the second derivative of 3*p**4/8 - 107*p**3/8 - 1125*p**2/8 + 1564*p. Suppose a(i) = 0. What is i?
-3, 125/6
Suppose -2*h + 5*k = -1 - 15, -5*h = 2*k - 11. Determine n, given that -3*n**2 + n**4 + 18*n**2 - 34*n - 7*n**h + 25*n = 0.
0, 1, 3
Let k(n) be the third derivative of -3*n**6/8 - 31*n**5/6 - 415*n**4/24 + 25*n**3/3 - 3*n**2 + 21*n. Factor k(c).
-5*(c + 2)*(c + 5)*(9*c - 1)
Let j(w) be the first derivative of w**4/42 + 116*w**3/63 + 19*w**2/7 + 4630. Suppose j(b) = 0. Calculate b.
-57, -1, 0
Factor 38*v**4 - 336*v**2 - 4*v**4 + 432*v - 32*v**4 + 52*v**3 + 2*v**4.
4*v*(v - 3)*(v - 2)*(v + 18)
Let s(g) be the first derivative of -g**5/25 - 79*g**4/20 + 161*g**3/15 - 81*g**2/10 + 7243. Factor s(f).
-f*(f - 1)**2*(f + 81)/5
Let n(u) = 9*u - 97. Let o be n(11). Let j(p) = 2*p**2 - 10*p + 14. Let a be j(o). Factor 0*y + 0 - 4/5*y**5 + 4/5*y**4 - 4/5*y**a + 4/5*y**3.
-4*y**2*(y - 1)**2*(y + 1)/5
Let w(f) = -f**2 + 12*f + 30. Let q be w(14). Suppose -l = 5*a + 15, a + q = 3*l - 1. Suppose -1/5*o**2 + 2/5*o**3 + 0*o - 1/5*o**4 + l = 0. Calculate o.
0, 1
Let g = -595 - -689. Let j = -375/4 + g. Determine n so that 0*n**4 - 3/4*n**3 + 0 - 1/2*n**2 + 0*n + j*n**5 = 0.
-1, 0, 2
Suppose 138*o - 15549 = 17992 - 7045. Factor -16*s + 1/3*s**2 + o.
(s - 24)**2/3
Let k(g) = -10*g**3 + 185*g**2 - 455*g + 190. Let n(h) = h**2 - 4*h + 2. Let r(l) = k(l) - 30*n(l). Solve r(c) = 0 for c.
1/2, 2, 13
Let d(c) = -c + 22. Let i be d(8). Suppose -i*x**2 + 15*x**2 - 2 - 3*x**3 + 3*x + 0*x**3 + x**4 + 0*x = 0. Calculate x.
-1, 1, 2
Let r(t) be the second derivative of -1/105*t**6 - 3249/14*t**4 + 0*t**2 - 5*t + 11 - 61731/7*t**3 - 171/70*t**5. Factor r(o).
-2*o*(o + 57)**3/7
Let r(h) = -7*h**5 - 2*h**3 + 38*h**2 + 30*h + 13. Let u(s) = -2*s**5 - 6*s**3 - s + 1. Let x(m) = -r(m) + 3*u(m). Find j, given that x(j) = 0.
-2, -1, 5
Let x be ((30/(-63))/(-2))/((-2070)/(-1932)). Let -8/3 - x*r**2 - 14/9*r = 0. Calculate r.
-4, -3
Let a(i) = i + 28. Let p be a(-12). Determine w so that 33*w**2 + p + 176*w - 4*w**2 - 84*w**3 + 47*w**2 = 0.
-1, -2/21, 2
Suppose 38 = 9*w + 4*r, -4*w - 2319*r = -2324*r + 17. Factor -3/4*t**w - 3*t + 0.
-3*t*(t + 4)/4
Let a(v) = -6*v**2 - 910*v + 353. Let i be a(-151). Determine d, given that -i*d**2 - 192/7*d**5 - 12612/7*d**3 - 1446/7*d - 111/7 - 7440/7*d**4 = 0.
-37, -1, -1/4
Let z(p) be the third derivative of 294*p**2 + 41/32*p**4 + 1/160*p**5 + 1681/16*p**3 + 0*p + 0. Suppose z(k) = 0. What is k?
-41
Suppose 5*f - 144 + 134 = 0. Solve -f*d**5 - 679 + 1513*d - 25*d**4 + 3*d**5 - 1328*d**2 + 430*d**3 - 5*d**4 - 8*d**4 + 101 = 0.
1, 2, 17
Let x(c) = -c**3 + 49*c**2 + 2. Let d be x(49). Let m be 3/d + (-25 - -24). Solve m*n**4 - 1/2*n**2 + 0 + 0*n - 1/2*n**3 + 1/2*n**5 = 0.
-1, 0, 1
Let a(g) = -g**3 + 28*g**2 - 27*g + 4. Let o be a(27). Suppose -2 = 5*r - 5*u + 13, o*u - 18 = r. Let 2 - w**r - 31/4*w = 0. Calculate w.
-8, 1/4
Let u = 2559/7 + -22961/63. Suppose -8/9*s**2 - 1/9*s**3 - u + 19/9*s = 0. What is s?
-10, 1
Let k(r) be the third derivative of -48*r**2 - 8*r**3 - 1/30*r**6 + 7/15*r**5 - 2/3*r**4 + 0 + 0*r. Suppose k(h) = 0. Calculate h.
-1, 2, 6
Let g(o) = -5*o**2 - 107*o - 39. Let r be g(-21). Suppose 14 = -5*j + r*u + 15, 5*u - 11 = 2*j. Factor -4/3*x**4 + 8 - 4*x**3 + 20*x**j - 68/3*x.
-4*(x - 1)**3*(x + 6)/3
Suppose -6*h - 4*h = -17*h - 0*h. Factor 1/9*v**5 + h*v + 0*v**2 - 1/3*v**4 + 0 + 2/9*v**3.
v**3*(v - 2)*(v - 1)/9
Let a = 15747 + -15745. Let b(r) be the first derivative of -32*r + 8*r**a - 2/3*r**3 - 22. Factor b(x).
-2*(x - 4)**2
Let d(q) be the third derivative of q**6/240 - 121*q**5/120 + 200*q**4/3 + 7168*q**3/3 + 6231*q**2. Suppose d(o) = 0. What is o?
-7, 64
Let c(p) = -p - 11. Let a be c(-11). Suppose -4*d = -u - 100, d - 6 = -a*d + 5*u. Let 7*g**2 - g - d + 3*g**3 + 34 - 17*g = 0. Calculate g.
-4, 2/3, 1
Let f(g) be the third derivative of 3/10*g**5 - 29*g**2 - 1/420*g**7 - 1/24*g**6 + 0 + 2*g + 13/12*g**3 - 19/24*g**4. Suppose f(o) = 0. Calculate o.
-13, 1
What is z in 2/5*z**2 - 284/5*z - 174 = 0?
-3, 145
Let w(x) be the first derivative of -13*x**6/57 - 54*x**5/95 - 15*x**4/38 - 2*x**3/57 - 1244. Determine q, given that w(q) = 0.
-1, -1/13, 0
Determine f, given that -54*f**2 + 371*f + 226*f - 103*f + 153 - 57 + 798*f = 0.
-2/27, 24
Let u(d) be the first derivative of d**3/21 - 41*d**2/14 + 40*d/7 - 265. Suppose u(j) = 0. Calculate j.
1, 40
Find h, given that 113/6*h + 19/6*h**3 + 22*h**2 - 5/3*h**4 + 5/3 = 0.
-2, -1, -1/10, 5
Let i(m) be the second derivative of -17/15*m**4 - 12/25*m**6 - 61*m + 0*m**2 - 69/50*m**5 + 0*m**3 + 0 - 1/105*m**7. Factor i(v).
-2*v**2*(v + 1)**2*(v + 34)/5
Suppose 3 = -c + h, 9 = 4*c + c - h. Let r(y) be the third derivative of -17*y**2 + 0 + 0*y + 1/2*y**c - 1/40*y**5 + 1/16*y**4. Factor r(t).
-3*(t - 2)*(t + 1)/2
Let n(r) be the second derivative of 20 - 2*r - 13/3*r**3 + 0*r**2 + 1/6*r**4. What is g in n(g) = 0?
0, 13
Let s = -13816/5 - -96762/35. Let q(r) be the first derivative of 2/3*r**6 - 8/21*r**3 + 0*r**2 - 13 - 34/35*r**5 + 0*r - s*r**4. Suppose q(o) = 0. Calculate o.
-1/2, -2/7, 0, 2
Suppose -2*l