29*w**5/15 + 131*w**3/3 - w**2 + 183. Let f(h) be the third derivative of q(h). Let f(j) = 0. Calculate j.
-58, 0
Let h(c) be the second derivative of -c**6/420 - 8*c**5/105 - 29*c**4/84 - 2*c**3/3 + 78*c**2 - 7*c + 7. Let y(t) be the first derivative of h(t). Factor y(j).
-2*(j + 1)**2*(j + 14)/7
Suppose -211*x + 134 + 310 = 22. Let t(a) be the first derivative of 3 + 7/3*a**x - 2*a + 34/27*a**3 + 1/6*a**4. Factor t(u).
2*(u + 3)**2*(3*u - 1)/9
Let x(o) be the first derivative of o**4/10 + 98*o**3/15 - 101*o**2/5 + 102*o/5 + 488. Determine k so that x(k) = 0.
-51, 1
Let g(k) = -k**2 + 4*k - 3. Let y be g(2). Factor 10*w**4 + 6 + 0*w**2 - 15*w**2 - 5*w**3 - 2*w + 7*w - y.
5*(w - 1)**2*(w + 1)*(2*w + 1)
Let x(t) = -2*t**2 - 4*t. Let s(z) = -63*z**2 + 765*z + 1782. Let y(v) = -s(v) + 30*x(v). Let y(f) = 0. What is f?
-2, 297
Let s(k) = k**2 - 13*k + 15. Let d be s(12). Let -119*i**5 - 116*i**5 + 32*i**d + 24*i**4 - 46*i - 24*i**2 + 10*i + 239*i**5 = 0. What is i?
-3, -1, 0, 1
Let d(p) be the third derivative of p**6/24 - 11*p**5/12 + 35*p**4/6 - 12*p**2 + 22. Let d(w) = 0. Calculate w.
0, 4, 7
Let c be (16 - 49336/3276) + (-8)/156. Let -c*y**5 + 10/9*y**3 - 2/3*y**2 + 0 + 2/3*y**4 - 2/9*y = 0. Calculate y.
-1, -1/4, 0, 1
Suppose 0 = -42*n + 234*n - 960. Factor 0*c**2 - 40/3*c**4 + 0 + n*c**3 - 5*c**5 + 0*c.
-5*c**3*(c + 3)*(3*c - 1)/3
Let l(w) be the second derivative of -1/7*w**3 + 0*w**2 + 1/28*w**4 + 0 + 16*w. Factor l(p).
3*p*(p - 2)/7
Let x(o) be the second derivative of -5*o - 5 - 14/3*o**3 - 1/2*o**4 - 8*o**2. Factor x(y).
-2*(y + 4)*(3*y + 2)
Suppose -2*q = -4*i - 132, -2*q - 2*i - 54 + 180 = 0. Determine m, given that 8*m + 42 - q*m + 12*m**2 - 50 + 40 = 0.
2/3, 4
Let c(k) be the third derivative of k**8/840 - 2*k**7/175 + 3*k**6/100 + 1884*k**2. Factor c(j).
2*j**3*(j - 3)**2/5
Suppose 0 = -3*n - 3*d - 3 - 0, 5*n = 4*d + 40. Suppose n*w + 4 - 37 = -5*h, 3 = -h. Solve -q**5 - 2*q**5 + 394*q**4 - 385*q**4 - w*q**2 = 0 for q.
-1, 0, 2
Factor -664/7 - 2/7*i**3 - 190*i - 668/7*i**2.
-2*(i + 1)**2*(i + 332)/7
Suppose 53/4*q**2 - 361/4*q + 1/4*q**3 - 413/4 = 0. Calculate q.
-59, -1, 7
Let f be (-81 + (-44635)/(-553))*84/(-8). Suppose -10/3*i + 2/9*i**4 + 62/9*i**2 + 0 - 34/9*i**f = 0. Calculate i.
0, 1, 15
Let 21624*b**2 + b - 7347*b**2 - 7180*b**2 - 7257*b**2 + 160 - b**3 = 0. What is b?
-160, -1, 1
Let r = 10119 + -10117. Solve -1/2 + 0*q + 1/2*q**r = 0 for q.
-1, 1
Suppose -118 + 56 = -33*b + 466. Factor 4/9*m**2 + 144 + b*m.
4*(m + 18)**2/9
Let y(z) be the first derivative of z**5/5 + 229*z**4/28 - 1984*z**3/21 + 1114*z**2/7 - 480*z/7 + 5657. Determine k, given that y(k) = 0.
-40, 2/7, 1, 6
Find q, given that 84 + 31/2*q + 1/2*q**2 = 0.
-24, -7
Let g be 1044/(-90) + (-1524)/(-127). Factor -12/5*t + 0 - 26/5*t**2 - g*t**4 - 16/5*t**3.
-2*t*(t + 1)**2*(t + 6)/5
Suppose 49*a = 47*a + t + 12, -2*a - 4*t = -2. Suppose -19 = -8*o + a. Factor -3/4*v + 0*v**2 + 1/4*v**o - 1/2.
(v - 2)*(v + 1)**2/4
Suppose 12 - 3*d**2 - 160*d - 23*d**5 + 42*d**5 - 9*d**4 - 18*d**5 + 140*d + 19*d**3 = 0. Calculate d.
-1, 1, 2, 6
Let p(b) = 109*b**2 + 4*b - 3. Let x be p(1). Factor 103 + 5*h**2 + 247 + 255 + x*h.
5*(h + 11)**2
Let w be ((-48)/40)/3*-5. Factor 7 + 14*z**2 - 50*z**2 + 18*z**w - 78*z + 3*z**2 - 22.
-3*(z + 5)*(5*z + 1)
Let f be 202*((-104)/(-48) - 4). Let q = -370 - f. Suppose q + 2*t**2 + 4/3*t + 4/3*t**3 + 1/3*t**4 = 0. What is t?
-1
Suppose -5202/7*l**2 - 204/7*l - 2/7 = 0. What is l?
-1/51
Let i(l) be the second derivative of 0*l**2 + 77*l + 0 + 6/25*l**5 + 0*l**3 - 2/15*l**4 - 1/15*l**6. Factor i(h).
-2*h**2*(h - 2)*(5*h - 2)/5
Suppose 5*p = 3*h + 141, 280 = 5*p + 4*h + 188. Let c(j) be the third derivative of -1/330*j**5 - p*j**2 - 1/33*j**4 + 0*j + 0 - 4/33*j**3. Factor c(d).
-2*(d + 2)**2/11
Suppose 779*o = 771*o + 13 + 3. Let g(q) be the second derivative of -5/3*q**4 + 0 + 0*q**3 + 1/5*q**5 + 0*q**o + 17*q. Factor g(v).
4*v**2*(v - 5)
Let t(k) be the third derivative of -k**5/15 + 12*k**4 + 146*k**3/3 - 62*k**2 + 18. Factor t(x).
-4*(x - 73)*(x + 1)
Let s(m) be the third derivative of -m**5/30 - 35*m**4/6 - 136*m**3/3 + 318*m**2 - 4. Factor s(c).
-2*(c + 2)*(c + 68)
Let -611/6*w - 76 - 1/6*w**3 - 26*w**2 = 0. What is w?
-152, -3, -1
Let y(h) = -h**2 - 555*h + 1588. Let q(o) = 4*o**2 + 560*o - 1587. Let a(c) = 2*q(c) + 3*y(c). Factor a(b).
5*(b - 106)*(b - 3)
Determine b, given that 3279/2*b**2 - 479/2*b**4 + 1695/2*b**3 - 780 - 229*b + 3/2*b**5 = 0.
-1, 2/3, 5, 156
Factor 3/2*k**4 + 96*k - 1/2*k**5 - 191/2*k**2 + 61/2*k**3 - 32.
-(k - 8)*(k - 1)**3*(k + 8)/2
Let s(q) = 5*q**2 + 57*q + 59. Let k(t) = -t**2 - 14*t - 15. Let o(z) = -9*k(z) - 2*s(z). Let y be o(13). Factor -l**3 + 5 - 5 - 3*l**2 + y + 0.
-(l - 1)*(l + 2)**2
Let a(c) be the third derivative of 197*c**2 + 0*c + 0 + 0*c**5 + 1/66*c**4 - 1/1320*c**6 + 0*c**3. Determine t, given that a(t) = 0.
-2, 0, 2
Let w(n) be the third derivative of 0 - 71*n**2 + 0*n - 1/12*n**4 + 1/210*n**5 + 2/7*n**3. Factor w(v).
2*(v - 6)*(v - 1)/7
Let h(i) be the second derivative of -2*i**6/75 + 6*i**5/25 - 11*i**4/15 + 4*i**3/5 - 3295*i. Factor h(q).
-4*q*(q - 3)*(q - 2)*(q - 1)/5
Let u be 40 + 0 - 1716/198. Find z such that -14/3*z**5 + 122/3*z**2 - 4/3*z + u*z**4 - 16/3 - 182/3*z**3 = 0.
-2/7, 1, 4
Factor 0 - 320/7*o**2 + 68/7*o**3 - 2/7*o**4 - 4800/7*o.
-2*o*(o - 20)**2*(o + 6)/7
Let o(p) be the second derivative of -p**7/5460 + p**6/390 - p**3/3 + 9*p**2/2 + 2*p - 3. Let i(n) be the second derivative of o(n). Factor i(z).
-2*z**2*(z - 6)/13
Let k(p) be the second derivative of -5*p**4/9 + 595*p**3/18 + 25*p**2 + 54*p - 1. Factor k(f).
-5*(f - 30)*(4*f + 1)/3
Let s(t) = -15*t + 98*t - 45*t + 382. Let n be s(-10). Factor -4/9 + 22/9*h**3 + 40/9*h**n + 14/9*h.
2*(h + 1)**2*(11*h - 2)/9
Suppose 147*i = -596*i + 2972. Let k(t) be the first derivative of -1/30*t**6 + 41 + 0*t**2 - 3/5*t**3 + 0*t - 3/4*t**i - 7/25*t**5. Factor k(b).
-b**2*(b + 1)*(b + 3)**2/5
Factor -612153*l**4 - 3010*l**3 - 129 + 874 + 612918*l**4 - 2985*l + 4490*l**2 - 5*l**5.
-5*(l - 149)*(l - 1)**4
Let y be (-3)/(-4)*4 + 2 + -5. Suppose -i = -19*c + 23*c - 16, 5*c + 5*i - 20 = y. Let 0*w**2 - 8/3*w + 0 + 2*w**3 - 2/3*w**c = 0. What is w?
-1, 0, 2
Let h(u) = 22*u**2 + 37*u + 45. Let q be h(-23). Find b such that -12 + q*b**2 + 17*b - 10835*b**2 - 2*b = 0.
1, 4
Let b(x) be the second derivative of x**5/4 + 2565*x**4/4 + 988165*x**3/2 + 2956805*x**2/2 + 2880*x. Let b(f) = 0. Calculate f.
-769, -1
Let f(y) be the third derivative of y**6/72 + y**5/3 + 25*y**4/8 - 167*y**3/6 - 24*y**2 - y. Let z(j) be the first derivative of f(j). Factor z(b).
5*(b + 3)*(b + 5)
Let w(k) be the second derivative of k**5/70 - 53*k**4/42 - 18*k**3/7 + 645*k. What is x in w(x) = 0?
-1, 0, 54
Let p(o) be the first derivative of o**4/16 - 17*o**3/12 - o**2/8 + 17*o/4 + 3915. What is b in p(b) = 0?
-1, 1, 17
Let w = 206864 - 206862. Let -169/3*r**w + 26/3*r - 1/3 = 0. Calculate r.
1/13
Suppose 0 = -9*i - 3 + 48. Suppose -4*n + 516 = i*h, 5*h - 3*n - 119 - 369 = 0. Factor -199*q + h - q**2 + 239*q + 5*q**2.
4*(q + 5)**2
Factor 28*g - 6*g**3 + 19*g - 18 + 21519*g**2 - 21450*g**2 + 8*g + 2*g**3.
-(g - 18)*(g + 1)*(4*g - 1)
Let m(v) = 36*v**2 + 100*v + 20*v**3 + 5*v**3 + 24 + 29 - 2*v**3. Let a(p) = 8*p**3 + 12*p**2 + 34*p + 18. Let u(f) = 17*a(f) - 6*m(f). Factor u(r).
-2*(r + 1)*(r + 2)*(r + 3)
Determine b so that 112/3 + 32/9*b**3 + 5392/9*b**2 + 2690/9*b = 0.
-168, -1/4
Factor 0 - 2*t**3 - 1/3*t**4 + 19/3*t**2 + 8*t.
-t*(t - 3)*(t + 1)*(t + 8)/3
Let h(v) be the third derivative of -v**6/30 + 316*v**5/15 - 25277*v**4/6 + 98596*v**3/3 + 3678*v**2. Factor h(d).
-4*(d - 157)**2*(d - 2)
Suppose 1183 - 103175*n + 217 - 26*n**2 + 103095*n + 2*n**3 = 0. What is n?
-7, 10
Factor 81/5*i - 1/5*i**2 + 166/5.
-(i - 83)*(i + 2)/5
Let p(t) be the first derivative of -t**5/12 + 5*t**4/8 + 25*t**3/3 - 79*t**2/2 - 109. Let w(l) be the second derivative of p(l). Suppose w(m) = 0. Calculate m.
-2, 5
Suppose -2*d + 13*h = 14*h + 1, -2*h = -5*d + 20. Solve -4*w**4 - w**4 - 16 + 15 + 10*w**d - 4 = 0.
-1, 1
Let j(d) be the first derivative of d**6/240 - 9*d**5/80 + 5*d**4/4 - 65*d**3 + 247. Let k(o) be the third derivative of j(o). Factor k(i).
3*(i - 5)*(i - 4)/2
Let x be 900/406 - (