-15/2*s - 33/2*s**3 + 5/2*s**4 - 9 + g*s**2.
(s - 3)**2*(s - 1)*(5*s + 2)/2
Let p(f) = f**3 - 28*f**2 + 2*f - 54. Let u be p(28). Solve k + k**2 - 2967*k**4 + 2966*k**4 - 3*k + u*k**3 = 0 for k.
-1, 0, 1, 2
Let 0 + 4/3*b + 14/9*b**2 + 2/9*b**3 = 0. What is b?
-6, -1, 0
Let b(j) = -3*j**2 + 21711*j + 306. Let q(k) = -k**2 + 6203*k + 85. Let y(m) = -5*b(m) + 18*q(m). Factor y(x).
-3*x*(x - 1033)
Let 345*d**2 + 16*d - 196*d**3 - 196*d**4 + 63*d**2 - 31626 + 31594 = 0. Calculate d.
-2, -2/7, 2/7, 1
Let f(i) be the first derivative of -27*i**4/20 + 461*i**3/15 + 496*i**2/5 - 76*i/5 + 9317. Factor f(t).
-(t - 19)*(t + 2)*(27*t - 2)/5
Let g(c) be the third derivative of -c**7/945 - 5*c**6/216 - 3*c**5/20 - 23*c**4/216 + 35*c**3/54 - 3725*c**2. What is m in g(m) = 0?
-7, -5, -1, 1/2
Let a = -374909/903 - -2906/7. Let q = a - -154/645. Let 3/5 - q*h**2 + 2/5*h = 0. What is h?
-1, 3
Let 314*n + 60516 + 137*n + 27*n**2 + 41*n - 48*n**2 + 22*n**2 = 0. What is n?
-246
Suppose -5*x = 5*s - 30, -s - 4*x = -2*x - 3. Suppose s*o - 133 = 2. Factor z - 3*z**2 + 16*z**3 + z - o*z**3.
z*(z - 2)*(z - 1)
Let x(q) be the third derivative of q**8/1176 + 2*q**7/245 - 11*q**6/84 + 930*q**2. Determine m so that x(m) = 0.
-11, 0, 5
Find v, given that -246*v - 484*v + 699*v**2 - 1353 - 347*v**2 - 855 - 350*v**2 = 0.
-3, 368
Suppose -3*w - 15 = -6*w. Suppose -2 = w*a + t - 1, -4*a - 5 = 5*t. Factor -3/4*r**3 + 0*r + a + 3/4*r**2.
-3*r**2*(r - 1)/4
Let y be ((-2)/3)/((-48)/216). Let j be y*2*((-10)/(-48))/5. Solve -1/8*a**2 + 0 + j*a = 0 for a.
0, 2
Let w(s) = s - 1. Let o = -14 - -17. Let m(a) = 3 + 2*a**o + 25*a - 40*a**2 + 5 + 5*a**3. Let k(c) = 5*m(c) - 10*w(c). Let k(t) = 0. What is t?
-2/7, 1, 5
Let k be (-22)/11*((-7)/2 - -2). Find p such that 23 - 64*p + 29 - 4*p**4 + 64*p**3 + 12 - 48*p**k = 0.
-2, 2
Let o(m) be the second derivative of -m**6/15 + 2*m**5 - 37*m**4/6 + 6*m**3 - 1796*m. Suppose o(u) = 0. What is u?
0, 1, 18
Find v such that -48/7*v**4 - 220/7*v**2 + 2/7*v**5 + 202/7*v**3 + 304/7 - 24*v = 0.
-1, 2, 19
Let l be 38 + -47 - 7*(-22)/16. Determine a so that -l*a**3 - 1/8*a**4 + 0 - 3/8*a - 7/8*a**2 = 0.
-3, -1, 0
Let r be -381 - -353 - (-362)/12. Let 1/6*w + 13/6 - 1/6*w**3 - r*w**2 = 0. What is w?
-13, -1, 1
Let r(c) be the first derivative of -5*c**4/4 - 40*c**3 - 595*c**2/2 + 720*c + 490. Suppose r(g) = 0. What is g?
-16, -9, 1
Suppose 1/2*b**2 - 138 - 11/2*b = 0. Calculate b.
-12, 23
Let 15/4 - 83/8*n + 17/2*n**2 + 1/8*n**5 - 3/4*n**3 - 5/4*n**4 = 0. What is n?
-3, 1, 10
Let h be ((-23)/7268)/((-6)/1096). Let m = 7/79 + h. Factor 2*c - m + 2/3*c**3 - 2*c**2.
2*(c - 1)**3/3
Let h(j) = -j + 2. Let t(b) = -3*b**2 + 10*b + 37. Let m(o) = 8*h(o) - t(o). Suppose m(p) = 0. What is p?
-1, 7
Let q(m) be the second derivative of 3*m**5/40 - 93*m**4/8 + 110*m**3 - 2*m - 1640. Solve q(z) = 0 for z.
0, 5, 88
What is r in 80*r**5 - 169230048234025*r - 54593613560296465 - 130088450*r**3 - 61419*r**4 + 21094*r**4 - 85*r**5 - 209832669850*r**2 = 0?
-1613
Let s(n) be the third derivative of n**5/80 + 395*n**4/96 - 11*n**3/2 - 262*n**2. Let s(h) = 0. Calculate h.
-132, 1/3
Factor 160 - 264*o**2 + 294*o**2 + 2*o**4 + 155*o + 3*o**4 - 195*o**2 - 155*o**3.
5*(o - 32)*(o - 1)*(o + 1)**2
Let p(x) be the first derivative of 9/8*x**2 + 1/8*x**3 + 226 - 6*x. Factor p(a).
3*(a - 2)*(a + 8)/8
Let b(j) be the first derivative of -4/9*j - 10/9*j**2 - 40/27*j**3 - 4/9*j**5 - 10/9*j**4 - 2/27*j**6 - 21. Factor b(g).
-4*(g + 1)**5/9
Let i(t) = -t + 0*t**2 - 30727 + 30726 + t**2. Let s be i(3). Let -2/11*b**s + 6/11*b**3 + 0 + 4/11*b**2 + 0*b + 0*b**4 = 0. What is b?
-1, 0, 2
Let j(y) be the third derivative of -y**5/12 - 745*y**4/12 - 2381*y**2. Solve j(l) = 0 for l.
-298, 0
Let z(w) be the second derivative of w**7/168 + 29*w**6/120 + 139*w**5/40 + 431*w**4/24 - 93*w**3/8 - 891*w**2/8 - w - 5508. Determine f so that z(f) = 0.
-11, -9, -1, 1
Let t be 3*1*(9 + (-160)/(-30)). What is h in -1489 + 5*h**5 + 3*h**2 + 529 + 17*h**2 + t*h**3 + 5*h**4 - 163*h**3 + 800*h = 0?
-4, 2, 3
Suppose 98*v + 1 = 682*v + 1. Determine u so that 8/7*u**2 + 9/7*u**3 + v*u + 1/7*u**4 + 0 = 0.
-8, -1, 0
Let h = 97 - 93. Factor 5*r - 680*r**4 + 187*r - 20*r**3 + 32*r**2 + 676*r**h.
-4*r*(r - 3)*(r + 4)**2
Let p = 28 + -107. Let z = p - -81. Factor 14*l**2 - 3*l**3 - 3*l**5 - 14*l**z - 6*l**4 + 0*l**3.
-3*l**3*(l + 1)**2
Let x(r) be the first derivative of 1/45*r**6 - 23/30*r**4 + 6 + 16/5*r - 68/15*r**2 + 44/15*r**3 + 0*r**5. Find f, given that x(f) = 0.
-6, 1, 2
Let s be -2 + 16/(-4) + 8. Factor -10*d**2 + 315*d - 371*d - 18 + 8*d**3 + 76*d**s.
2*(d - 1)*(d + 9)*(4*d + 1)
Suppose -46*i = -83 + 37. Suppose 0 = -22*y + 43 + i. Factor 1/4*w**3 - 3/2*w**2 + 3*w - y.
(w - 2)**3/4
Suppose 626 = 5*b - 2*j + 610, -3*b + 2*j = -12. Determine s so that -1/3*s**b + 17/3 - 16/3*s = 0.
-17, 1
Let g be ((-11)/(935/238))/(4/(-2915)). Let y = g + -2039. Solve 0 + y*t**2 + 21/2*t = 0 for t.
-7, 0
Let p(i) be the second derivative of 1 + 1/15*i**5 + 4/3*i**4 - 13*i - 2/9*i**3 - 8*i**2. Factor p(m).
4*(m - 1)*(m + 1)*(m + 12)/3
Let b(l) = -2*l**3 + l**2 - 3*l + 5. Let o be b(0). Let i(x) be the second derivative of 1/10*x**o + 0 + 5/3*x**3 + 15*x + 2*x**2 + 2/3*x**4. Factor i(c).
2*(c + 1)**2*(c + 2)
Let s(u) be the second derivative of -2*u**7/21 + 562*u**6/45 + 1127*u**5/180 + 47*u**4/54 - 16*u + 12. Factor s(a).
-a**2*(a - 94)*(6*a + 1)**2/9
Let a(p) = p**5 - p**4 - p**3 - p. Let t(u) = 7*u**5 - 21*u**4 - 23*u**3 + 99*u**2 - 2*u. Let f(k) = -6*a(k) + 3*t(k). Factor f(y).
3*y**2*(y - 3)**2*(5*y + 11)
Let -59*g**2 + 0 - 291/5*g**3 - 4/5*g = 0. What is g?
-1, -4/291, 0
Determine l so that l**4 + 207*l**2 - 10 - 15*l**3 - 2*l**4 + 53*l**3 + 182 + 263*l + 77*l = 0.
-2, -1, 43
Factor 15*q**2 - 136*q**2 + 63*q**2 - 2*q**3 - 54 - 110*q.
-2*(q + 1)**2*(q + 27)
Let z(q) be the second derivative of -17*q**4/90 + 7*q**3/3 - 6*q**2/5 + 6*q + 68. Find t, given that z(t) = 0.
3/17, 6
Factor 0*g**2 - 3*g**3 + 1/6*g**5 + 0*g - 17/6*g**4 + 0.
g**3*(g - 18)*(g + 1)/6
Suppose -4*o = 2*b - 16, -5*b = 4*o - 7*o - 14. Let i be 0 - (-2 - (0/(-6))/4). Suppose 1 + o*m**3 - 5/2*m - 2*m**4 + 1/2*m**5 + m**i = 0. What is m?
-1, 1, 2
Let d(y) be the first derivative of -1/16*y**4 - 15/4*y**3 - 54*y**2 + 432*y - 29. Suppose d(x) = 0. What is x?
-24, 3
Let y be (-2 + (-6)/(-9))*(33 - 16170/484). Find t, given that y*t - 9/11 - 1/11*t**2 = 0.
3
Let j(g) = -g + 5. Let q be j(-5). Let o be (-75)/(-10) - (q - 4). Determine i so that -o*i**2 - 1/2*i + 1/2*i**4 + 1/2*i**3 + 1 = 0.
-2, -1, 1
Let c(a) be the second derivative of -a**7/189 - 1387*a**6/135 - 637531*a**5/90 - 10597505*a**4/6 + 29406600*a**3 - 178746000*a**2 + 6075*a. Solve c(o) = 0.
-465, 4
Let b(c) be the third derivative of 0*c + 1/420*c**7 - 1/12*c**4 + 0 - 56*c**2 - 1/30*c**5 + 0*c**3 + 1/240*c**6. Factor b(h).
h*(h - 2)*(h + 1)*(h + 2)/2
Let u(i) be the first derivative of 4*i**3/3 + 170*i**2 + 2184*i + 87. Suppose u(v) = 0. Calculate v.
-78, -7
Let w(y) be the first derivative of -y**3/3 - 19*y**2/2 - 87*y - 180. Let f be w(-10). Factor 0 - 9/7*k**f + 3/7*k**4 + 0*k + 6/7*k**2.
3*k**2*(k - 2)*(k - 1)/7
Suppose m + 2489 = 2*a + 6*m, -m = -2*a + 2483. Let o = a - 16138/13. Factor 8/13*b**2 - o*b + 0 - 2/13*b**3.
-2*b*(b - 2)**2/13
Determine y so that 40 + 2/5*y**2 + 104/5*y = 0.
-50, -2
Let h be ((-5)/20*2)/(2/(-8)). Let -56927 + 2*m**h - 104*m + 56927 = 0. Calculate m.
0, 52
Let k(d) be the third derivative of d**5/180 + 991*d**4/36 + 982081*d**3/18 - 882*d**2. Factor k(r).
(r + 991)**2/3
Let k(v) be the second derivative of -v**5/4 - 625*v**4/12 + 1265*v**3/6 - 635*v**2/2 + 668*v. Factor k(l).
-5*(l - 1)**2*(l + 127)
Let d = -63 - -65. Let a(v) = -v + 11. Let c be a(d). Factor 16*j - 4*j**3 + c*j**4 + j**4 - 6*j**4 - 8*j**3.
4*j*(j - 2)**2*(j + 1)
Factor 52/5*r + 24 + 4/5*r**2.
4*(r + 3)*(r + 10)/5
Factor -59/5*q - 252/5 + 1/5*q**2.
(q - 63)*(q + 4)/5
Let n = -431108545/384 - -1122677. Let s = -1/384 - n. Factor -9/2*v**2 - 9/2*v - 3/2*v**3 - s.
-3*(v + 1)**3/2
Let q(g) be the third derivative of -g**5/105 - 206*g**4/7 - 254616*g**3/7 - 1322*g**2. Factor q(l).
-4*(l + 618)**2/7
Let c = 26 + -21. Suppose c = 4*a + 2*i - 7, a - 3 = -5*i. Determine y, given that -3 + 2*y**a + 4 - 1 + 13*y**4 =