*z**4 = 0.
0, 1/4, 2/5, 1
Let t(d) = 175187*d**2 + 1184*d + 20. Let n(f) = -5*f**2 + 2. Let g(y) = -9*n(y) + t(y). Suppose g(p) = 0. What is p?
-1/296
Let y be 1008/(-792) + (-396)/(-121). Let d = 43893/15365 - -1/2195. Factor -d - 20/7*l**y + 46/7*l - 6/7*l**3.
-2*(l - 1)*(l + 5)*(3*l - 2)/7
Factor 159014/11 + 260/11*m**3 + 1032*m**2 + 2/11*m**4 + 170108/11*m.
2*(m + 1)*(m + 43)**3/11
Let y(g) be the third derivative of -3*g**8/112 + 5*g**7/7 + 7*g**6/15 - 43*g**5/30 + 17*g**4/24 - 3*g**2 - 380*g. Determine z, given that y(z) = 0.
-1, 0, 1/3, 17
Let o(u) = 2*u + 104. Let j be o(-11). Suppose -89*w**2 - 8 - 488*w - 64*w**2 - j*w**2 - 7207*w**2 = 0. Calculate w.
-2/61
Let n(r) be the first derivative of -8*r**2 - 2/5*r**3 - 63 - 26/5*r. Factor n(a).
-2*(a + 13)*(3*a + 1)/5
Let x = 102578/3 + -33868. Let q = x - 324. Suppose 0 + 4*i + q*i**2 = 0. What is i?
-6, 0
Let m(i) be the second derivative of 12/7*i**2 - 3 - 5/7*i**3 - 3/28*i**4 - 7*i. Factor m(y).
-3*(y + 4)*(3*y - 2)/7
Let n(v) = v**2 - 79. Let c be n(9). Let 53*j**2 - 25*j - 81*j**2 + 27*j**c = 0. Calculate j.
-25, 0
Suppose 7*p - 4*p = 2472. Factor -6*g + p*g**2 + 4 + 18*g + 4*g**3 - 812*g**2.
4*(g + 1)**3
Let j(q) be the first derivative of 5*q**6/6 - 16*q**5 - 95*q**4/4 + 170*q**3/3 + 504. Determine p, given that j(p) = 0.
-2, 0, 1, 17
Let h(g) be the first derivative of -3*g**4/20 + g**3/5 + 21*g**2/5 - 72*g/5 - 1311. Suppose h(a) = 0. Calculate a.
-4, 2, 3
Let q = -389 - -395. Suppose y - 2*s = 2, -4*y + 4 = q*s - 10*s. Factor 1/5*p**3 + 0*p + 7/10*p**4 + y*p**2 + 0 + 1/2*p**5.
p**3*(p + 1)*(5*p + 2)/10
Let u = 29216 + -29162. Let n(v) = v**3 - 4*v**2 - 9*v + 3. Let d be n(6). Factor u*o**4 + 327/7*o**3 + 108/7*o**2 + d*o**5 + 12/7*o + 0.
3*o*(o + 1)**2*(7*o + 2)**2/7
Let p(m) = 5*m**3 - 2*m**2. Let s(d) = 2*d - 3. Let f be s(2). Let t be p(f). Factor -18*a - 40*a**2 - 16*a - 2*a**3 - t*a**3 - a.
-5*a*(a + 1)*(a + 7)
Suppose -2/5*x**5 - 48/5*x + 8/5*x**2 + 4*x**3 - 2/5*x**4 + 0 = 0. What is x?
-3, -2, 0, 2
Let y = -38/2607 - -2683/5214. Factor y*a - 1/8*a**2 - 3/8.
-(a - 3)*(a - 1)/8
Suppose -6383101375*r - 10323075/2*r**2 - 1/4*r**4 - 1855*r**3 - 11840653050625/4 = 0. What is r?
-1855
Let s(i) be the second derivative of 0 + 1/210*i**7 + 8/5*i**2 + 8/25*i**5 + 8/5*i**3 + 14/15*i**4 + 3/50*i**6 - 48*i. Determine z, given that s(z) = 0.
-2, -1
Let n(t) be the second derivative of 7/60*t**5 + 1/2*t**3 + 0*t**2 - 120*t + 0 - 1/90*t**6 + 17/36*t**4. Factor n(z).
-z*(z - 9)*(z + 1)**2/3
Let g(t) be the third derivative of 0*t - 1/60*t**5 - 1/1260*t**7 + 1/144*t**6 + 2/9*t**3 - 28 + t**2 - 1/36*t**4. Solve g(y) = 0 for y.
-1, 2
Let b = -301728 - -5132114/17. Let -b - 148/17*y - 2/17*y**2 = 0. Calculate y.
-37
Let n be 0/(-18 + 28 - 11). Let y(g) be the second derivative of 1/12*g**4 - 34*g + n*g**2 + 0 + 1/6*g**3. What is p in y(p) = 0?
-1, 0
Let r(o) be the third derivative of -o**6/15 - 157*o**5/30 + 71*o**4/3 - 41*o**3 - 4596*o**2. Factor r(w).
-2*(w - 1)*(w + 41)*(4*w - 3)
Let o be (-4)/(-14)*(168202/68190 - (-1)/2*-4). Let 0 + o*a**2 + 16/15*a = 0. What is a?
-8, 0
Let g(w) be the third derivative of w**7/210 + 101*w**6/120 - 87*w**5/10 + 211*w**4/6 - 212*w**3/3 - 4*w**2 - 185*w + 3. Suppose g(o) = 0. Calculate o.
-106, 1, 2
Let h be (-7)/14*((-2 - 3) + -3). Let o(c) be the third derivative of -1/6*c**h - 1/60*c**5 + 0 + 0*c - 16*c**2 - 1/2*c**3. Suppose o(x) = 0. What is x?
-3, -1
Find q such that 2307/4*q**2 + 381/2*q + 9/4*q**3 - 384 = 0.
-256, -1, 2/3
Suppose 963*b = 970*b - 98. Let o(t) be the first derivative of 125*t - b - 25*t**2 + 5/3*t**3. Factor o(y).
5*(y - 5)**2
Let i = 8335 - 8331. Let n(v) be the third derivative of 0*v**3 - 2/105*v**7 + 0*v**5 - 7*v**2 + 0 - 1/15*v**6 + 0*v + 0*v**i. Determine w, given that n(w) = 0.
-2, 0
Let q be (-1 + (-14)/(-20))*((-1073)/(-111) + -15). Factor -1/5*d**3 + 0 + q*d**4 - 2/5*d**2 + 0*d - d**5.
-d**2*(d - 1)**2*(5*d + 2)/5
Suppose o + t = 5*o - 12, -2*o + 6 = 5*t. Let p(u) = 687*u + 13057. Let w be p(-19). Solve -2/3*r**o - 14/15*r**2 - 2/5*r + 0 - 2/15*r**w = 0 for r.
-3, -1, 0
Let p(c) be the second derivative of -c**5/3 + 145*c**4/24 - 35*c**3/6 - 13*c**2 + 39*c. Let l(w) be the first derivative of p(w). Factor l(u).
-5*(u - 7)*(4*u - 1)
Let c(g) = 209*g + 6482. Let f be c(-31). Factor 0*l**2 + 0*l - 1/5*l**f + 1/5*l**4 + 0.
l**3*(l - 1)/5
Let f(k) = -k**3 - 2*k**2 + k + 3. Let g be f(0). Suppose -4*b = 36*o - 33*o - 15, g*b + 20 = 4*o. Let -14/3*d**2 - 1/3*d**3 - 49/3*d + b = 0. What is d?
-7, 0
Factor -302/3*b**2 + 0 + 4/3*b**3 - 152/3*b.
2*b*(b - 76)*(2*b + 1)/3
Let d be (384/90 - 108/(-81))/(1/7). Suppose -d + 56/5*z - 4/5*z**2 = 0. What is z?
7
Let n(o) = -o**4 - o**3 - o**2 + 1. Let q = 994 - 989. Let h(m) = 3*m**4 - 5*m**3 + 8*m**2 - 2. Let r(a) = q*h(a) + 10*n(a). Find i, given that r(i) = 0.
0, 1, 6
Let s(g) be the third derivative of 1/9*g**4 + 1/20*g**5 + 1/360*g**6 + 0*g**3 + 36*g**2 + 1 + 0*g. Factor s(i).
i*(i + 1)*(i + 8)/3
Let m be (-2)/16 - (-9 - (-7847)/(-728)). Let j = m + -39/2. Solve 0 + j*l**2 - 6/13*l = 0 for l.
0, 3
Let z = 290158 - 2031104/7. Let -z*m**2 + 0 + 0*m = 0. Calculate m.
0
Let q be (-10)/15*(-27)/6. Let p(m) = 8*m**3 - 5*m**2 + m + 8. Let j be p(q). Determine y so that -2*y**4 - 184*y + 2*y**3 - 8*y**3 - 6*y**2 + j*y = 0.
-1, 0
Suppose -45 = -3*d + 3*k, -25*k + 24*k - 26 = -2*d. Let y(a) be the third derivative of -d*a**2 - 1/2*a**3 + 0 + 0*a - 1/60*a**5 + 1/6*a**4. Factor y(p).
-(p - 3)*(p - 1)
Let c(l) be the second derivative of l**4/12 - 29*l**3/3 - 59*l**2/2 + 1274*l. Let c(d) = 0. Calculate d.
-1, 59
Suppose 12*a = 1 + 35. Factor -94*y + 47*y - 7*y**a + 14*y**2 + 44*y - 4*y**4.
-y*(y - 1)*(y + 3)*(4*y - 1)
Let b = 57189/5 + -11437. Factor -88*o + 2420 + b*o**2.
4*(o - 55)**2/5
Let b(n) be the second derivative of -n**6/90 + 101*n**5/60 - 199*n**4/3 - 4264*n**3/9 + 5408*n**2/3 + 1817*n. Find s such that b(s) = 0.
-4, 1, 52
Find i such that -2/5*i**2 + 304/5*i + 0 = 0.
0, 152
Let d = -499499/8 - -62440. Factor -3/8*v**3 + 15/4 - 3/2*v**2 + d*v.
-3*(v - 2)*(v + 1)*(v + 5)/8
Let u(c) = -c**3 + 12*c**2. Let h be u(12). Let f be (-50)/(-4) + h - (-1)/2. Determine b so that 10*b**3 + 3*b + 2*b**3 + 46*b**2 - 14*b**2 + f*b = 0.
-2, -2/3, 0
Let c = 1/84 - -125/84. Let v(w) be the second derivative of -1/20*w**4 + 0 + 2/5*w**3 + 9*w + c*w**2. Factor v(y).
-3*(y - 5)*(y + 1)/5
Let b(h) be the first derivative of h**5/5 - h**4/4 - 7*h**3/3 + 13*h**2/2 - 6*h + 429. Factor b(q).
(q - 2)*(q - 1)**2*(q + 3)
Factor 48 + 27*m - 13*m**2 - 9*m + 29*m + 12*m**2.
-(m - 48)*(m + 1)
Let p = -71 + 80. Suppose 0 = -3*s + 2*y + 22, -s - 3*y + 4*y = -p. Determine n so that n**s + 2 + 0 + 6*n**2 - 4*n**4 - 5 = 0.
-1, 1
Suppose 0 = -6*u + 24*u + 126, 0 = 5*p - 3*u - 41. Find q such that 0*q**p + 0 - 3*q**3 + 4*q**2 + 1/2*q**5 - 3/2*q = 0.
-3, 0, 1
Let u be 14*7/(-14) - 4. Let y(l) = -3*l**4 - 11*l**3 - 26*l**2 - 14*l. Let o(w) = 16*w**4 + 56*w**3 + 131*w**2 + 69*w. Let p(i) = u*y(i) - 2*o(i). Factor p(t).
t*(t + 1)*(t + 4)**2
Let v(m) = 16*m**2 - 355*m + 12 + 277*m + 30 + m**3. Let y be v(-20). What is z in -4 + 2/5*z**y + 6/5*z = 0?
-5, 2
Suppose -833*u - 12 = -837*u. Suppose 0 + 11/4*a**2 + 3/2*a + 3/4*a**u - 1/4*a**5 - 3/4*a**4 = 0. What is a?
-3, -1, 0, 2
Let s(a) be the second derivative of -10*a**7/189 - 62*a**6/135 - 46*a**5/45 - 8*a**4/27 - 1066*a. Find l such that s(l) = 0.
-4, -2, -1/5, 0
Let u be 12/(-18)*-8*(396/36)/22. Find s, given that -2*s**2 - 22/3*s**3 + 8/3*s**4 + 32/3*s + u = 0.
-1, -1/4, 2
Let m(d) be the second derivative of 0 - 8/5*d**5 + 0*d**2 + 2/3*d**6 - 2/21*d**7 + 4/3*d**4 + 0*d**3 - 18*d. Factor m(o).
-4*o**2*(o - 2)**2*(o - 1)
Let v = 257 + -761/3. Let n = 1200 - 1198. Solve -55/3*g - v - 15*g**n = 0 for g.
-1, -2/9
Let x = 363 + 185. Let s = x + -548. Factor 14/5*o + s - 2/5*o**2.
-2*o*(o - 7)/5
Let g be 2*(-1 + -3)/(-4). Find s, given that s**5 + 15 - s + g*s**3 - 11 - 8*s**2 - 4*s**3 + 2*s + 0*s**3 + 4*s**4 = 0.
-4, -1, 1
Let r = 47288 - 138727/3. Let a = r - 1044. Solve 2 + 7/3*t - 1/3*t**4 - a*t**2 - 7/3*t**3 = 0.
-6, -1, 1
Let d(v) be the second derivative of -2*v**7/63 + 2*v**6/45 + 29*v**5/15 + 79*v**4/9 + 160*v**3/9 + 56*v**2/3 - 633*v. Let d(y) = 0. What is y?
-2, -1, 7
Su