g**5 - 7*g**5 + 102*g + 95 + 550*g**2 + 350*g**3 = 0.
-1, 19
Let 4397390*f**2 - 722944*f - 3950732*f + 1768680 - 1065864*f + 418245*f**3 + 125*f**5 + 12600*f**4 = 0. Calculate f.
-34, 3/5
Solve -1/4*v**5 + 2*v**2 - 2*v**4 + 0 - 3/2*v**3 + 7/4*v = 0 for v.
-7, -1, 0, 1
Solve -4*z**2 + 15*z**2 - 127799 - 1404*z + 296*z - 12*z**2 - 179117 = 0 for z.
-554
Let h = 1/1999363 + 179942657/25991719. Factor 2/13*n**2 - h - 24/13*n.
2*(n - 15)*(n + 3)/13
Let k(j) be the first derivative of j**4/2 + 538*j**3/3 + 531*j**2 - 1602*j + 12130. Factor k(s).
2*(s - 1)*(s + 3)*(s + 267)
What is m in -8376/5*m**2 + 3344*m - 11136/5 + 1404/5*m**3 - 2/5*m**4 = 0?
2, 696
Let 10985 - 3*c**2 + 1483*c - 2*c**2 + 420*c + 9077*c = 0. What is c?
-1, 2197
Factor 0 - 139/7*v - 1/7*v**2.
-v*(v + 139)/7
Suppose -363682 = -19*o - 363625. Factor -o + 12/5*a + 3/5*a**2.
3*(a - 1)*(a + 5)/5
Suppose 355*m - 350*m = 3*u, 0 = -2*u + 3*m. Let a be 48/70 - ((-18)/(-14) + -1). What is h in -a*h**3 + 0 + 1/5*h**5 + 0*h**4 + u*h**2 + 1/5*h = 0?
-1, 0, 1
Let i = 10804/5517 - -298/613. Let -8/3*a - 2/9*a**2 - i = 0. Calculate a.
-11, -1
Let i(h) be the second derivative of h**4/30 + 27*h**3 + 1873*h. What is w in i(w) = 0?
-405, 0
Let g(o) be the first derivative of o**4 - 248*o**3 + 370*o**2 - 371. Factor g(p).
4*p*(p - 185)*(p - 1)
Let v = -748 + 759. Let h be (-148)/16 - (1 - v). Solve -1/4*l + 0 + 5/4*l**4 + l**5 - 5/4*l**2 - h*l**3 = 0.
-1, -1/4, 0, 1
Let 10/3*q + 2/9*q**2 - 32/9 = 0. What is q?
-16, 1
Let o(a) be the second derivative of a**4/8 + 21*a**3/4 + 185*a + 4. Factor o(w).
3*w*(w + 21)/2
Let i be (-10 - 204/(-20))*(3 - 1/2). Let f(v) be the second derivative of 20*v - 1/30*v**5 - 3*v**3 + 9*v**2 + i*v**4 + 0. Factor f(t).
-2*(t - 3)**3/3
Let g(v) = -909*v**3 + 4*v**2 - 3*v + 2. Let r be g(2). Let n be 4/66 + (-8272)/r. Factor 0*f**2 + n*f - 4/5 - 2/5*f**3.
-2*(f - 1)**2*(f + 2)/5
Let n(z) = -z**4 - z**2 - 10*z. Let i(o) = -16*o**4 - 376*o**3 - 3168*o**2 - 3160*o + 3600. Let t(l) = i(l) - 4*n(l). Let t(k) = 0. Calculate k.
-15, -2, 2/3
Let m(y) be the first derivative of -y**7/3360 + y**6/480 - 2*y**3/3 - 7*y - 49. Let i(n) be the third derivative of m(n). Factor i(g).
-g**2*(g - 3)/4
Determine p so that 12837 + 3*p**2 - 26*p + 16661 - 8330 - 478*p = 0.
84
Find u such that 3/2*u**2 + 0 + 513/2*u = 0.
-171, 0
Suppose 8*l - 6964 = 8060. Let r be 3/(-21) + l/357 + -5. Suppose -r*w**3 + 2/17*w + 0*w**2 + 0 = 0. Calculate w.
-1, 0, 1
Let q(s) = s**4 + 54*s**3 - 53*s**2 - 51*s + 52. Let c(d) = -d**3. Let x(z) = -3*c(z) - q(z). Find r, given that x(r) = 0.
-52, -1, 1
Let y(h) be the second derivative of h**5/140 - 5*h**4/28 - 2*h**3/21 + 30*h**2/7 + 4005*h. Factor y(g).
(g - 15)*(g - 2)*(g + 2)/7
Let h(q) be the third derivative of -q**6/360 - q**5/18 - 2*q**4/9 + 1000*q**2. Solve h(k) = 0 for k.
-8, -2, 0
Factor 14*l**3 + 11/3*l**4 - 27 + 18*l**2 + 1/3*l**5 - 9*l.
(l - 1)*(l + 3)**4/3
Let j(o) be the second derivative of o**6/15 - 139*o**5/35 + 265*o**4/14 + 44000*o**3/21 + 12500*o**2/7 - 4985*o + 2. Let j(m) = 0. Calculate m.
-10, -2/7, 25
Suppose 5*g - 10 = 0, -t - 2*g + 18 = 11. Let f(y) be the first derivative of -1/35*y**5 + 1/28*y**4 + 0*y**2 + 17 + 0*y**t + 0*y. Factor f(h).
-h**3*(h - 1)/7
Let x(y) be the first derivative of -3*y**5/70 + 2*y**4/7 + y**3/7 - 12*y**2/7 - 181*y + 101. Let v(t) be the first derivative of x(t). Factor v(f).
-6*(f - 4)*(f - 1)*(f + 1)/7
Let h(x) be the first derivative of 4/11*x**5 + 17/11*x**4 + 1/33*x**6 + 20/11*x - 5 + 104/33*x**3 + 37/11*x**2. Solve h(q) = 0 for q.
-5, -2, -1
Let j = 265696 - 265696. Factor -20/11*o**3 + 0 + 6/11*o**4 + 6/11*o**2 + j*o.
2*o**2*(o - 3)*(3*o - 1)/11
Suppose -j - 133 = -135. Let o be (-16)/(-20)*25/10. Find i, given that 8 - 3*i - i**j + 5*i**2 - 2*i**o - 7*i = 0.
1, 4
Let 0 + 10*z - 1/2*z**2 = 0. Calculate z.
0, 20
Let v be (-5)/30 + (-250)/(-60). Factor 11*q - 2168*q**2 - 6 + 2156*q**2 + v*q + 3*q**3.
3*(q - 2)*(q - 1)**2
Let u(z) be the third derivative of 0*z**3 + 1/4*z**4 + 3*z**2 + 1/20*z**5 + 0*z - 3. Suppose u(y) = 0. Calculate y.
-2, 0
Let l(x) be the second derivative of 2*x**7/21 + 62*x**6/15 + 15*x**5 - 93*x**4 - 504*x**3 + 2862*x. Suppose l(b) = 0. What is b?
-28, -3, 0, 3
Let b(a) = -208*a**3 - 265*a**2 + 1661*a - 618. Let d(j) = j**4 - 2*j**3 - j**2 + j - 2. Let w(u) = -b(u) + 5*d(u). Find x, given that w(x) = 0.
-38, -4, 2/5, 2
Suppose -5*c - 2 = -3*m, 4*c = 3*m - 5 + 4. Let p(k) = 7*k**2 + 11*k + 4. Let a(o) = -o**2 + o + 2. Let w(b) = c*p(b) - 4*a(b). Let w(s) = 0. Calculate s.
-4, -1
Suppose 0 = 43*v - 80*v - 19 + 93. Factor 11*m - 17/2*m**v + m**3 - 7/2.
(m - 7)*(m - 1)*(2*m - 1)/2
Let s(u) be the first derivative of -u**4 + 88*u**3/3 - 42*u**2 + 793. Let s(w) = 0. What is w?
0, 1, 21
Factor 4/7*d**3 - 152/7*d**2 - 96 - 656/7*d.
4*(d - 42)*(d + 2)**2/7
Suppose -191*f + 1948 - 856 + 2634 = 1672*f. Factor 3/5 + 7/10*a + 1/10*a**f.
(a + 1)*(a + 6)/10
Let o = 284 + -189. Let k = o + -93. Factor -18*z**2 + 8*z**3 + 24*z - 14*z**k - 20*z**2.
4*z*(z - 6)*(2*z - 1)
Let u(a) be the first derivative of -a**5/5 - 35*a**4/2 - 384*a**3 + 1296*a**2 - 1809. Factor u(g).
-g*(g - 2)*(g + 36)**2
Let j(f) = 2*f**4 - f**2 + f + 1. Let x(h) = -7*h**4 - 1255*h**3 - 27279*h**2 - 42841*h - 16806. Let n(a) = -4*j(a) + x(a). Solve n(q) = 0 for q.
-41, -1, -2/3
Find c, given that 3*c**2 - 191*c - 9*c**2 - 16*c - 24*c + 9*c**2 + 876 = 0.
4, 73
Let m = 1229/567 - 473/567. Solve 2/3*t + 0 - 2/3*t**5 + m*t**2 + 0*t**3 - 4/3*t**4 = 0 for t.
-1, 0, 1
Factor -1822*n**2 - 648 + 3641*n + n**3 - 70 + 514 - 1523 - 93.
(n - 1820)*(n - 1)**2
Let i(l) be the second derivative of -47*l**4/96 - 49*l**3/16 - 9*l**2/8 - 456*l + 3. Factor i(w).
-(w + 3)*(47*w + 6)/8
Let o(w) = 2*w**3 + 151*w**2 - 233*w - 152. Let j be o(-77). Factor 0 + 6/7*y**j - 27/7*y**3 + 3*y**4 + 0*y.
3*y**2*(y - 1)*(7*y - 2)/7
Let n(f) = -85*f**2 + 2125*f - 70. Let l(j) = j**2 + 3*j - 5. Let z be l(5). Let r(h) = 5*h**2 - 125*h + 4. Let m(i) = z*r(i) + 2*n(i). What is o in m(o) = 0?
0, 25
Let u(d) be the second derivative of -d**6/70 + 9*d**5/140 + 7*d**4/4 + 57*d**3/14 - 162*d**2/7 - d + 3154. Find w such that u(w) = 0.
-4, -3, 1, 9
Suppose -13*f + 37 - 11 = 0. What is i in 26*i - 39 + 6*i**f - 354*i**3 + 352*i**3 + 9 = 0?
-3, 1, 5
Let b be 776151/36 - (-2)/(16/2). Find u such that -21638*u + 92 - 17 + b*u + 3*u**2 = 0.
1, 25
Suppose -121/4*s**4 - 69*s**2 + 31/2*s - 3/4 - 231/2*s**3 = 0. Calculate s.
-3, -1, 1/11
Let o(l) = -210*l**2 - 376*l + 58. Let i(k) = -2730*k**2 - 4895*k + 755. Let y(b) = -3*i(b) + 40*o(b). Solve y(d) = 0.
-11/6, 1/7
Let p(j) = -j**3 + 131*j**2 + 1556*j - 6088. Let m(y) = -9*y**3 + 1044*y**2 + 12447*y - 48705. Let v(c) = -4*m(c) + 33*p(c). Factor v(l).
3*(l - 3)*(l + 26)**2
Let t(n) be the second derivative of 80/3*n**4 - 5/2*n**5 + 90*n**2 + 5/42*n**7 - 79*n - 2/3*n**6 - 1 - 145/2*n**3. Find s, given that t(s) = 0.
-4, 1, 3
Let p(n) be the third derivative of n**7/945 - 19*n**6/90 + 1624*n**5/135 + 19*n**4/18 - 361*n**3/3 + 67*n**2 + 35. Determine j so that p(j) = 0.
-1, 1, 57
Let y(i) be the third derivative of -8*i**7/105 - 7*i**6/60 + 41*i**5/30 - 29*i**4/12 + i**3 + 2*i**2 + 1137. Find u such that y(u) = 0.
-3, 1/8, 1
Find x such that 23*x**4 - 15*x**4 + 616*x**2 + 652*x + 103*x**3 + 192 + 61*x**3 = 0.
-16, -3, -1, -1/2
Suppose 0 = 421*d - 419*d - 6. Let p(g) be the second derivative of -3/10*g**5 + 0 - 7/4*g**4 + 5/2*g**d + 22*g + 6*g**2. Factor p(o).
-3*(o - 1)*(o + 4)*(2*o + 1)
Let s = -65 + 66. Let z be (s/(-2))/(3/(-18)) - 0. Let 2*k + 18*k**2 - 5*k**z - 8*k**2 - 7*k = 0. What is k?
0, 1
Suppose 0 = -392976*z + 392614*z. Factor z - 2/3*r - 2/9*r**2.
-2*r*(r + 3)/9
Let y(n) be the third derivative of n**7/1575 - n**6/225 - n**5/18 + 7*n**4/45 - 74*n**2 + 7*n. Factor y(w).
2*w*(w - 7)*(w - 1)*(w + 4)/15
Let -206/13 - 612/13*d**2 + 200/13*d**3 + 2/13*d**4 + 616/13*d = 0. What is d?
-103, 1
Let d = 51139/4 + -12784. Let c(w) be the first derivative of -23/4*w**3 - 17 - 9/4*w**2 + 0*w + d*w**4. Factor c(g).
3*g*(g - 6)*(4*g + 1)/4
Suppose -4*k = 7*s - 4*s - 37, 2*s + 22 = 4*k. Let b be 30/65 + k/(-28)*0. What is g in 16/13*g + 10/13*g**4 - 2/13*g**5 - b*g**3 + 24/13 - 2*g**2 = 0?
-1, 2, 3
Let x be (-35)/10*(-15)/(-9)*(-11223)/3045.