0 = -2*t + 4*c - 10. Suppose -p**t - 4/3*p**2 + p + 3/2 - 1/6*p**4 = 0. Calculate p.
-3, -1, 1
Factor -1525*f + 11*f**2 - 29*f**2 + 11*f**2 + 12*f**2.
5*f*(f - 305)
Let j(d) be the second derivative of -d**6/1080 + 77*d**5/180 - 5929*d**4/72 + 7*d**3/3 + d**2 - d + 32. Let i(o) be the second derivative of j(o). Factor i(x).
-(x - 77)**2/3
Let u(m) = -100*m**2 - 2*m - 15. Let c be u(-2). Let b = c + 414. Factor -a + 1/5*a**b + 1/5*a**2 + 3/5.
(a - 1)**2*(a + 3)/5
Let t(v) = -v**2 - 7*v - 3. Let m(k) = k + 1. Let f(c) = -5*m(c) + t(c). Let y be f(-11). Let -4*z**2 - 6*z + 0*z**2 + 6*z**2 + y*z**3 + z**2 = 0. Calculate z.
-2, 0, 1
Suppose v - 29 = 4*b, -2*v + b + 33 = -18. Suppose v*h = -42 + 142. Factor 6*g**2 + 0 + 21/2*g**h - 24*g**3 + 0*g.
3*g**2*(g - 2)*(7*g - 2)/2
Suppose 25*z + 1662 = 2287. Let p(c) be the second derivative of 1/6*c**4 - z*c - 1/20*c**5 + 0*c**2 - 1/6*c**3 + 0. Factor p(g).
-g*(g - 1)**2
Let m(k) = k**2 - 98*k - 97. Let c be m(-1). Determine x, given that -8/11 - 16/11*x - 2/11*x**3 - 10/11*x**c = 0.
-2, -1
Let s(p) be the first derivative of 61*p**3/3 - 245*p**2/2 + 4*p - 2048. Factor s(f).
(f - 4)*(61*f - 1)
Let w be -4 + (3 - -3)/3. Let h be (6/8)/(w - (-114)/48). Suppose -9 + 2*u**h + 6 - 4 + 4*u - 9 = 0. What is u?
-4, 2
Let r(d) be the first derivative of 196 + 1/15*d**6 - 3/5*d**4 + 0*d - 27/5*d**2 + 24/5*d**3 - 8/25*d**5. Suppose r(w) = 0. What is w?
-3, 0, 1, 3
Let s be 11/2 - 3/(-6). Suppose -k - 3*b + 11 = s, -3*b + 3 = 0. Factor 28*l**k + 23*l**2 - 3*l**3 - 45*l**2 + 24*l.
-3*l*(l - 4)*(l + 2)
Let d(r) be the second derivative of r**8/3024 + r**7/315 + r**6/120 + 99*r**2/2 - 4*r - 7. Let z(o) be the first derivative of d(o). Factor z(t).
t**3*(t + 3)**2/9
Let v = -4521 - -4523. Let f(h) be the third derivative of 0*h - 1/40*h**6 + 1/8*h**4 + 1/70*h**7 + 0*h**3 + 9*h**v + 0 - 1/20*h**5. Factor f(n).
3*n*(n - 1)**2*(n + 1)
Let a(s) be the second derivative of -s**5/10 + 8*s**4/3 + 923*s**3/3 + 7098*s**2 - 3*s - 98. Let a(m) = 0. Calculate m.
-13, 42
Let n be (-66)/36 + -4 + (-165 - 4)/(-13). Factor -n*b - 7*b**2 + 0 + 1/6*b**3.
b*(b - 43)*(b + 1)/6
Let t(r) be the second derivative of r**6/10 + 36*r**5/5 + 207*r**4/2 - 1944*r**3 + 19683*r**2/2 + 9*r + 49. Factor t(o).
3*(o - 3)**2*(o + 27)**2
Let o(j) be the second derivative of 5*j**7/21 - 29*j**6/30 + 6*j**5/5 + j**4/6 - 5*j**3/3 + 3*j**2/2 - 38*j + 15. Factor o(q).
(q - 1)**3*(2*q - 1)*(5*q + 3)
Let h(v) be the third derivative of v**6/320 + 89*v**5/480 - v**4/6 - 5*v**3/4 - 31*v**2 - 21*v. Suppose h(x) = 0. Calculate x.
-30, -2/3, 1
Let y(m) be the third derivative of m**7/18900 - m**6/2700 - m**5/60 - m**4/12 + m**3 - 3*m**2. Let g(p) be the second derivative of y(p). Factor g(a).
2*(a - 5)*(a + 3)/15
Factor -444*z - 125*z**2 + 907*z - 353*z.
-5*z*(25*z - 22)
Let k(w) = -18*w**3 - 9*w**2 + 126*w - 121. Let l(d) = -20*d**3 - 8*d**2 + 128*d - 120. Let j(u) = -8*k(u) + 7*l(u). Find v, given that j(v) = 0.
-8, 2
Factor 190*u - 45125 - 1/5*u**2.
-(u - 475)**2/5
Let h be (48/1)/(-4)*(-40)/(-32). Let s be 4/40*(h/6 + 5). Determine z, given that 0*z**2 + 1/4*z**4 + 0*z + 0 + s*z**3 = 0.
-1, 0
Let i = 155 - 151. Determine a, given that 5*a**2 - i*a**3 - 1251*a**4 - 3*a**2 + 1245*a**4 = 0.
-1, 0, 1/3
Suppose 3*f + 14 = o, -5*f + 9 + 13 = 4*o. Suppose 3*l = o*l + 20, 5*m - 88 = -3*l. Suppose 10*p + 3 + 7*p - m*p + p**3 - 1 = 0. Calculate p.
-2, 1
Let j(z) be the first derivative of -30 - 51/10*z**2 - 2/5*z**3 - 9*z. Factor j(n).
-3*(n + 1)*(2*n + 15)/5
Let w(o) = -7*o**3 + 47*o**2 - 68*o - 122. Let l = 371 + -374. Let m(t) = -8*t**3 + 48*t**2 - 67*t - 123. Let c(i) = l*w(i) + 2*m(i). Factor c(v).
5*(v - 6)*(v - 4)*(v + 1)
Let h(m) be the first derivative of m**6 + 14*m**5 + 55*m**4 + 100*m**3 + 95*m**2 + 46*m + 288. Factor h(l).
2*(l + 1)**4*(3*l + 23)
Let b be 96/80*(2 - (-128)/6). Let p be (8/6)/(b/63). Find t, given that -22 - 2*t**2 + p*t**2 - 3*t**2 + 6 + 18*t = 0.
1, 8
Let s be 2030/14 - (4 - -2). Let z = s + -137. Factor 1/4*t + 1/4*t**z - 1/2.
(t - 1)*(t + 2)/4
Let q(h) be the first derivative of h**6/6 - 279*h**5 + 364705*h**4/2 - 169303390*h**3/3 + 14665449405*h**2/2 + 14835483601*h + 1553. Factor q(o).
(o - 349)**4*(o + 1)
Let p(m) be the third derivative of -m**5/300 + 139*m**4/20 - 57963*m**3/10 + 83*m**2. What is j in p(j) = 0?
417
Determine m, given that 1917/2 + 1905/8*m**2 - 957*m + 3/8*m**3 = 0.
-639, 2
Let m = 17533/2 + -52595/6. Let c(i) be the first derivative of 0*i**4 + 29 - 2/35*i**5 + m*i**3 + 0*i + 6/7*i**2. Factor c(q).
-2*q*(q - 3)*(q + 1)*(q + 2)/7
Let d(b) = -3*b**2 + 1. Let z be (-21)/35 + (-165)/(-25). Let p(v) = -139*v**2 + 44*v + 2. Let m(a) = z*d(a) - p(a). Factor m(h).
(11*h - 2)**2
Let h(p) = -15*p + 139. Let i be h(9). Factor 160*o**2 + 85 + 36 + 46 - 308*o + 30 - 45 - i*o**3.
-4*(o - 38)*(o - 1)**2
Let a(t) be the second derivative of -t**7/126 - 41*t**6/30 - 1281*t**5/20 - 3721*t**4/36 - 3638*t. Factor a(x).
-x**2*(x + 1)*(x + 61)**2/3
Suppose 3*j = 11 + 1. Suppose -1 = -3*c - 3*v - j, -v = -4*c + 11. Factor -2*y - 3*y**3 + 6*y**3 - 3*y**c - 4*y**3.
-y*(y + 1)*(y + 2)
Let f(h) be the second derivative of 1681*h**5/10 - 41*h**4/6 - 1240*h**3/3 - 400*h**2 + 398*h - 1. Suppose f(v) = 0. Calculate v.
-20/41, 1
Let x be ((-2)/4 - 0)/(1/(-6)). Suppose -x*t - 3*o = -12, -t - t = -o - 5. Factor 0 + 0*j + 0*j**2 - 1/2*j**4 + 1/2*j**t.
-j**3*(j - 1)/2
Let t = -1102/59 + 2617/118. Suppose -t*v**2 - 2 - 9/2*v**3 + 10*v = 0. Calculate v.
-2, 2/9, 1
Let h(m) = -14*m**3 - 3083*m**2 + 608393*m + 1229312. Let p(a) = -100*a**3 - 21576*a**2 + 4258752*a + 8605184. Let i(b) = -64*h(b) + 9*p(b). Factor i(f).
-4*(f - 392)**2*(f + 2)
Suppose -3*f = 3*p, -4*f + 0*p + 5*p + 45 = 0. Suppose -4*d + 93 + 56 = s, s = -f*d + 185. What is v in 5*v**2 - 42*v + 9*v**2 - 2*v**3 + d + 2*v**2 = 0?
2, 3
Let n(p) be the second derivative of p**7/84 - p**6/20 - 9*p**5/40 + 23*p**4/24 - p**3 + 337*p. Factor n(a).
a*(a - 4)*(a - 1)**2*(a + 3)/2
Factor r**2 - 590 - 61*r - 575 + 2269 - 587 - 579.
(r - 62)*(r + 1)
Let b(i) = i**3 + 15*i**2 + 4063*i + 60948. Let s be b(-15). Factor -87/8*a - 9/2*a**2 - 3/8*a**s - 27/4.
-3*(a + 1)*(a + 2)*(a + 9)/8
Let u = -2 + 3. Let y(a) = 3*a**2 - 12*a + 3. Let m(g) be the second derivative of g**4/12 - g**3/6 - g**2/2 - 442*g. Let c(k) = u*y(k) - 6*m(k). Factor c(q).
-3*(q - 1)*(q + 3)
Let d(p) = p**3 + 15*p**2 - 17*p - 16. Let w be d(-16). Let z be 2/(-10)*(-10 + w). Factor 14*x**3 - 2*x**4 - 13*x**3 + 3*x**4 + z - x - 3*x**2.
(x - 1)**2*(x + 1)*(x + 2)
Suppose -h - 48 + 50 = 0. Factor 4*j**h - 151*j - 4*j**3 + 151*j.
-4*j**2*(j - 1)
Let l be (8 + (-364)/63)/((-1)/(-102)). Let d = l + -226. Find c, given that 0 + 2/3*c**3 - 2/3*c**4 + d*c**2 - 2/3*c = 0.
-1, 0, 1
Suppose n = 4*n + 39. Let f = n - -18. Determine h so that 210*h - 3*h**f - 210*h + 9*h**4 - 6*h**3 = 0.
0, 1, 2
Solve 52*k + 4*k**3 - 126*k + 27*k + 36*k**2 + 7*k = 0.
-10, 0, 1
Suppose 210*n**2 - 233*n + 271*n**2 + 80 - 249*n + 119*n**2 - 188*n**2 - 10*n**3 = 0. What is n?
1/5, 1, 40
Let a(d) = -2*d**2 - 2*d + 10. Let w = 21 - 18. Let v(r) = -57*r + 2 + 54*r + 18 - w*r**2. Let t(g) = -7*a(g) + 3*v(g). Determine j so that t(j) = 0.
-2, 1
Let -6/7*j**4 - 10/7*j**3 + 2/7*j**5 - 64/7*j + 24/7 + 54/7*j**2 = 0. Calculate j.
-3, 1, 2
Factor 5407*a - 3*a**2 + 8*a**2 - 7601049 - 6*a**2 + 107*a.
-(a - 2757)**2
Let s = 100 + -97. Suppose -4*h - 23*h**s + 6*h**2 - h**5 - 6*h**4 + 3*h**5 + 25*h**3 = 0. What is h?
-1, 0, 1, 2
Let c(o) be the third derivative of -o**8/3360 + o**7/126 + 41*o**4/24 - 8*o**2 + 1. Let r(l) be the second derivative of c(l). Determine k so that r(k) = 0.
0, 10
Let s(i) = -5935*i + 5935. Let r be s(1). Factor 0*u - 1/2*u**4 + 0*u**3 + 1/2*u**2 + r.
-u**2*(u - 1)*(u + 1)/2
Let t(s) be the first derivative of s**3/9 - 116*s**2/3 - 156*s + 681. Factor t(y).
(y - 234)*(y + 2)/3
Let v be (-540)/(-48) + (-10)/8. Let -v - p + 610*p**2 - 420*p**2 - 4*p - 175*p**3 = 0. Calculate p.
-1/5, 2/7, 1
Let u(v) be the first derivative of -v**5 - 25*v**4 - 110*v**3/3 + 1950*v**2 - 7605*v + 6272. Find h, given that u(h) = 0.
-13, 3
Factor 88/3 + 8/3*t - 2/3*t**3 - 22/3*t**2.
-2*(t - 2)*(t + 2)*(t + 11)/3
Let h be 42/(-175)*1250/(-150). Factor -33/4*u**h + 0 - 3/8*u**3 - 63/8*u.
