 288*a**2 = 0.
-2, 0, 8
Suppose -333 = -75*o - 183. Factor 5/4 + 5/4*p - 5/4*p**o - 5/4*p**3.
-5*(p - 1)*(p + 1)**2/4
Let o(z) be the third derivative of z**5/180 - 941*z**4/36 + 885481*z**3/18 + 100*z**2. Factor o(r).
(r - 941)**2/3
Let h(t) be the first derivative of 2*t**3 + 0*t**2 + 4 + 3*t - 1/4*t**4. Let l(d) be the first derivative of h(d). Factor l(p).
-3*p*(p - 4)
Let p(j) be the third derivative of -5*j**8/616 - 1262*j**7/1155 - 2219*j**6/55 - 588*j**5/55 - 2*j**2 + 725*j + 2. Suppose p(r) = 0. What is r?
-42, -2/15, 0
Suppose -d - 4*n = -79, -3*n - 12 + 6 = 0. Factor 133*t**2 - 5*t**3 + d*t**2 - 175*t**2 - 40*t.
-5*t*(t - 8)*(t - 1)
Suppose 0 = r - 5, -y - 2624 + 2608 = -4*r. Let q be -3*(7/9 - 1). Determine b so that -6*b - y*b**2 - q*b**3 - 8/3 = 0.
-4, -1
Let u = -11828 - -11844. Let x(k) be the second derivative of -u*k + 0*k**2 + 3/10*k**3 - 1/20*k**4 + 0. Let x(g) = 0. What is g?
0, 3
Determine g so that 66/7 - 6/7*g**2 + 28*g = 0.
-1/3, 33
Let y(c) be the third derivative of -5*c**6/72 - 5*c**5/36 + c**4/72 + c**3/18 - 282*c**2. Factor y(g).
-(g + 1)*(5*g - 1)*(5*g + 1)/3
Let b be -5*(-3)/(-15) + 45/40. Let g(u) be the first derivative of 1/10*u**5 + 15 + b*u**4 - 1/4*u**2 + 0*u - 1/6*u**3. Determine l, given that g(l) = 0.
-1, 0, 1
Let q(g) be the second derivative of -g**6/840 - 3*g**5/40 + 11*g**4/28 + 71*g**3/6 + 65*g. Let h(k) be the second derivative of q(k). Let h(t) = 0. What is t?
-22, 1
Let x(z) be the second derivative of 0*z**2 - 1/35*z**5 - 13*z - 1 - 4/21*z**4 - 2/7*z**3. Factor x(l).
-4*l*(l + 1)*(l + 3)/7
Let y = 2439 - 2433. Let r(v) be the first derivative of 5/2*v**2 + 5/6*v**y + 20/3*v**3 + 0*v + 8 + 4*v**5 + 15/2*v**4. Find x such that r(x) = 0.
-1, 0
Factor 1389/4 + 5558*n**2 - 11113/4*n - 4*n**3.
-(n - 1389)*(4*n - 1)**2/4
Suppose -2*p = -4*p + 6. Let g(i) = -51*i - 247. Let z be g(-5). Factor 4*v**4 + v**5 + 14*v**2 + z + 8*v - 28*v - p*v**4 - 5*v**4 + v**3.
(v - 2)**2*(v - 1)**2*(v + 2)
Let z be (-11)/((-121)/22) + 2*21. Factor 15*s**2 + 41*s**2 + 480*s + 596 + 5*s**3 + z + 34*s**2.
5*(s + 2)*(s + 8)**2
Suppose 406*s - 80 = 390*s. Let c(d) be the second derivative of 0*d**3 + 0 - 1/35*d**s + 1/21*d**4 + 0*d**2 - 11*d. Solve c(n) = 0.
0, 1
Suppose -1636/5*h + 288 + 198/5*h**2 - 2/5*h**3 = 0. What is h?
1, 8, 90
Let m(h) = 3*h**4 - 68*h**3 + 161*h**2 + 240*h. Let f(c) = -4*c**4 + 91*c**3 - 214*c**2 - 320*c. Let k(w) = 8*f(w) + 11*m(w). Factor k(n).
n*(n - 16)*(n - 5)*(n + 1)
Let q = -179 + 98. Let f = q - -84. Suppose 27*p**4 - 2*p**2 + 2*p - 10*p + 10*p**5 + 20*p**f - 1 + 2*p = 0. Calculate p.
-1, -1/5, 1/2
What is q in 1/4*q**3 + 95/4*q**2 + 0 - 24*q = 0?
-96, 0, 1
Suppose -4*i - 2 + 22 = -4*u, 2*i + 2*u - 22 = 0. Let m = -4896 - -4915. Determine n so that 0*n**4 - m + 0*n**4 + 27 - 12*n - 4*n**5 + 16*n**3 - i*n**2 = 0.
-2, -1, 1
Let c(u) = -60*u**2 + 189*u + 7. Let l be c(2). Factor l*b**3 + 12 + 64*b + 409/3*b**2 + 49/3*b**5 + 77*b**4.
(b + 1)**3*(7*b + 6)**2/3
Let d = -867196 - -867196. Find l such that -44/21*l + d - 2/21*l**2 = 0.
-22, 0
Let d(t) = 185*t - 180. Let g(h) = 79*h - 29 - 4 + 14*h - 57 - h**2. Let p(c) = 2*d(c) - 5*g(c). Let p(i) = 0. What is i?
1, 18
Suppose -5*y + 2*m + 158 = 0, 3*m = -0*y + y - 42. Suppose 79*q = 69*q + y. Factor 2/7*c**q + 4/7*c**2 + 0 - 2/7*c**4 + 0*c.
-2*c**2*(c - 2)*(c + 1)/7
Let k be 2*3*(650/(-75) + 9). Suppose 5/2*n**k + 10*n + 10 = 0. Calculate n.
-2
Let n = 1677/74 - 820/37. Let z(l) be the first derivative of 22 - 6*l + 1/3*l**3 - n*l**2. Solve z(u) = 0 for u.
-2, 3
Let c(l) be the first derivative of 18*l**5/5 + l**4 + l**3/9 + 49*l**2/2 - 57. Let y(k) be the second derivative of c(k). Factor y(r).
2*(18*r + 1)**2/3
Suppose j = 2*a - 65, 3*a - 4*a - 305 = 4*j. Let q be (-230)/j - 2 - (-6)/(-15). Factor q*n**3 + 4/3*n**2 + 10/3*n**5 - 16/3*n**4 + 0 + 0*n.
2*n**2*(n - 1)**2*(5*n + 2)/3
Factor 36*d**2 + 68*d - 33 + 30*d**3 + 19*d - 4*d - 113*d - 3*d**4.
-3*(d - 11)*(d - 1)*(d + 1)**2
Suppose 1 = -2*v - 5*f + 8, -3*f - 3 = 0. Suppose -5*x = -2*p + 32, -2*p = 4*x - v*x - 20. Factor -w**2 + p*w + 2 - 5 + 0*w - 2*w.
-(w - 3)*(w - 1)
Let r(m) = -m**2 + 12*m + 28. Let s be r(-2). Suppose 19*w + 171 - 247 = s. Let -5/2*t**2 + 5/2*t**w + 0*t**3 + 0 + 0*t = 0. Calculate t.
-1, 0, 1
Let a be ((-4)/((-46)/(-10) + (-206)/(-515)))/((-44)/10). Factor -a*q**2 + 260/11*q - 8450/11.
-2*(q - 65)**2/11
Let y = 1642968 - 8214792/5. Let -y*l + 32/5*l**2 + 12/5*l**3 - 64/5 - 4/5*l**4 = 0. Calculate l.
-2, -1, 2, 4
Let a(f) be the second derivative of 3/20*f**5 + 0*f**3 + 18*f + 0*f**2 - 2 + 9/4*f**4. Find t such that a(t) = 0.
-9, 0
Let z be -6*3/(-6)*1. Suppose -y + z = -1. What is g in 12*g**4 - g + g**2 - 13*g**3 - y*g**5 + 5*g**2 + 0*g**2 + 0*g = 0?
0, 1/2, 1
Let d be (-143)/(-52) + (-1 - (-10)/8). Determine c so that -11*c**d + 5*c**4 - 245*c + 334*c**2 - 19*c**2 - 64*c**3 = 0.
0, 1, 7
Suppose 29*v**2 - 656*v - 656*v + 215168 - 27*v**2 = 0. Calculate v.
328
Let t = 542076/43 + -12607. Let b = t + 118/129. Factor 5/6*j**3 + b*j**2 - 1/2*j + 0.
j*(j + 1)*(5*j - 3)/6
Let b(v) be the second derivative of 2*v**6/15 - 299*v**5/5 - 601*v**4/3 - 602*v**3/3 - 930*v. Solve b(g) = 0 for g.
-1, 0, 301
Suppose 0 = -5*m - 3*j + 31, -3*m + 766*j = 762*j - 7. Suppose 0*i - 6/5*i**4 + 4/5*i**3 + 0*i**2 + 0 + 2/5*i**m = 0. Calculate i.
0, 1, 2
Let p(j) be the third derivative of 0 + 17/24*j**4 + 7*j**2 - 1/2*j**3 + 1/10*j**5 - 3*j. Find v, given that p(v) = 0.
-3, 1/6
Let a = -858/29 - -1861/58. Solve 3/2 + 1/2*s**2 - 1/2*s**3 + a*s = 0 for s.
-1, 3
Suppose 389*r - 122 - 360 = 296. Factor -3/4*k**r + 3/2*k + 2 - 1/4*k**3.
-(k - 2)*(k + 1)*(k + 4)/4
Suppose -33*u = -1917 + 1818. Solve -8/5 + 86/5*t + 544/5*t**4 + 56/5*t**u - 266/5*t**2 + 128/5*t**5 = 0.
-4, -1, 1/4
Let h(x) be the third derivative of -x**5/30 - 487*x**4/6 - 237169*x**3/3 + 21*x**2 - 4*x + 4. Find c such that h(c) = 0.
-487
Suppose -272 = 7*w + w. Let j = -32 - w. Let -q - 2*q**2 - 9*q + 7*q**j - 25 - 6*q**2 = 0. What is q?
-5
Let d(l) be the first derivative of l**6/18 + 7*l**5/15 + 3*l**4/2 + 20*l**3/9 + 4*l**2/3 - 684. Suppose d(m) = 0. What is m?
-2, -1, 0
Suppose 56 = 2*y + t - 2*t, -87 = -3*y + 3*t. Suppose 21 + 2*o**4 - y - 78*o**2 - 20 + 106*o - 18 + 14*o**3 = 0. What is o?
-11, 1, 2
Suppose -15*f - 4*f = -76. Let j(k) = -k**2 - 1. Let q(t) = -31*t**2 - 30*t + 4. Let x(v) = f*j(v) - q(v). Factor x(p).
(3*p + 4)*(9*p - 2)
Let a be (-28)/21*(-1 + 24/(-12)). Let c(o) be the second derivative of 13/3*o**a + 0 + 0*o**2 + 33*o + o**5 - 4*o**3. Let c(j) = 0. Calculate j.
-3, 0, 2/5
Find g, given that 2/5*g**2 + 232 - 1162/5*g = 0.
1, 580
Let t(f) be the first derivative of f**5 - 55*f**4/4 - 110*f**3/3 + 1040*f**2 - 1920*f - 1166. Factor t(r).
5*(r - 8)**2*(r - 1)*(r + 6)
Let n be (-50)/(-4) - (1726 + -1739). Factor -75*z + 9/2*z**2 - n.
3*(z - 17)*(3*z + 1)/2
Let f = -427081 - -427081. Factor 0*a + 25/2*a**4 + f + 10*a**3 + 2*a**2.
a**2*(5*a + 2)**2/2
Find v, given that 192/5*v**2 + 0 + 21*v**4 + 294/5*v**3 + 3/5*v**5 + 0*v = 0.
-32, -2, -1, 0
Let -908209/6 + 953/3*h - 1/6*h**2 = 0. Calculate h.
953
Let j be (27/3)/3 + 0. Let a be ((-6)/(-4))/(2439/2168). Let 26/3*q**j + 8*q**4 + a - 14/3*q - 16/3*q**2 = 0. What is q?
-1, 1/4, 2/3
Suppose -14*a - a = -45. Factor -5*w**3 + 3*w**a - 444*w**2 + 464*w**2.
-2*w**2*(w - 10)
Let d(w) be the second derivative of -w**4/12 - 23*w**3/6 - 30*w**2 + 177*w - 1. Solve d(y) = 0 for y.
-20, -3
Find y such that -94/5*y**2 - 2/5*y**4 - 98/5*y**3 + 96/5 + 98/5*y = 0.
-48, -1, 1
Let v be (-6)/40*-4 - (-55632)/(-95). Let x = v - -587. Suppose 0*z + 4/9*z**x + 0 - 2/9*z**3 = 0. What is z?
0, 2
Let v(x) be the third derivative of -x**7/70 + 133*x**6/40 - 1122*x**5/5 + 1089*x**4/2 - 2127*x**2. Factor v(i).
-3*i*(i - 66)**2*(i - 1)
Suppose -4*c + 2*u = 18, 5*c - 116 = -3*u - 111. Let k be (c/(-36)*-6)/((-8)/6). Factor 1/4*y + 1/2 - k*y**2.
-(y - 2)*(y + 1)/4
Let s be (0 - 17) + -22 + 39. Find b such that -7/6*b**4 + s - 5/3*b + 43/6*b**2 - 13/3*b**3 = 0.
-5, 0, 2/7, 1
Let f(i) be the second derivative of -i**5/15 + 17*i**4/6 - 32*i**3/3 + 109*i**2/2 - 19*i. Let s(u) be the first derivative of f(u). Factor s(n).
-4*(n - 16)*(n - 1)
Let b = 100 + -498/5. Let x be 24/4 - 35/(-25)*(-130)/35. Suppose