. Let m(b) = b**5 + b**3. Let u be 12 + (-56)/7 - 3. Let p(s) = u*g(s) - 2*m(s). Factor p(v).
-(v + 3)**3*(2*v - 1)**2
Let v(n) be the second derivative of -n**7/252 - n**6/18 - 17*n**5/120 - n**4/9 + 1455*n. Solve v(d) = 0 for d.
-8, -1, 0
Let l(f) be the second derivative of -289*f**6/15 + 5542*f**5/5 - 54107*f**4/3 + 12388*f**3 - 3249*f**2 + 3162*f. Let l(y) = 0. What is y?
3/17, 19
Suppose 4*b = z + 27, 0*z = 2*b + 5*z + 3. Suppose -b*r + 14 = 2. Let y + 5*y**3 + 6*y**r - 6*y + 0*y - 15*y**4 - 10 + 19*y**2 = 0. What is y?
-1, -2/3, 1
Let a(c) be the first derivative of 3*c**5/40 + 75*c**4/8 - 105*c**3/8 - 75*c**2 + 303*c/2 - 473. Determine n so that a(n) = 0.
-101, -2, 1, 2
Let f = -3252 - -3256. Let q(y) be the first derivative of 0*y + 1/3*y**3 - 16 - 1/5*y**5 + 1/12*y**f - 1/3*y**2 + 1/18*y**6. Solve q(k) = 0 for k.
-1, 0, 1, 2
Let v = -13 + 242. Find b such that 120*b**2 + 112*b**2 + 72 + b + 41*b - v*b**2 = 0.
-12, -2
Let g = 15529/24 - 5171/8. Factor 0*y + 2/3*y**4 - g*y**3 - 4/3*y**2 + 0.
2*y**2*(y - 2)*(y + 1)/3
Let l(t) be the third derivative of -t**6/240 - 89*t**5/120 - 34*t**4 + 1344*t**3 + 24*t**2 + 8*t - 13. Suppose l(g) = 0. Calculate g.
-48, 7
Let i(b) be the first derivative of 0*b + 0*b**2 + 2/13*b**4 + 2/65*b**5 - 61 + 2/13*b**3. Factor i(p).
2*p**2*(p + 1)*(p + 3)/13
Let a(u) be the second derivative of u**6/105 - 148*u**5/5 - 1037*u**4/7 - 6224*u**3/21 - 2075*u**2/7 + 1336*u. Factor a(l).
2*(l - 2075)*(l + 1)**3/7
Let g = -2187 + 2188. Let k(s) be the first derivative of 0*s + 3*s**5 + 5/2*s**4 + 5/6*s**6 + 0*s**2 + g + 0*s**3. Find c, given that k(c) = 0.
-2, -1, 0
Let h be -4*(-3)/24*-2. Let w be (-266)/35*(-61 - h). Suppose 232*d + 224*d - 5*d**3 - w*d - d**4 = 0. What is d?
-5, 0
Suppose -f - 43 = -5*i, 0*i - 5*f = 2*i - 1. Suppose 3*t = o - 6*o - 2, -20 = -2*o + 4*t. Factor 2*k**3 + 16 - 44*k + 2*k**4 + 36*k - i*k**o - 4*k**2.
2*(k - 2)*(k - 1)*(k + 2)**2
Let d = 45 - 42. Let h be (d + 3)/(-2)*-3. Factor -9 + h - 3*t + 1 - 3*t**2 + 5.
-3*(t - 1)*(t + 2)
Suppose 0 = 543*m - 680 - 406. Find o, given that -2/3*o**4 + 5/3*o + 5/3*o**m - 1 - 5/3*o**3 = 0.
-3, -1, 1/2, 1
Suppose 5/2*k**4 + 85/4*k**3 - 115/4*k - 35/2 + 45/2*k**2 = 0. What is k?
-7, -2, -1/2, 1
Let d(f) = 3*f**2 - 47*f - 898. Let z(s) = 6*s**2 - 98*s - 1795. Let q(o) = 5*d(o) - 2*z(o). Factor q(b).
3*(b - 25)*(b + 12)
Factor 544968 + 2/9*m**2 - 696*m.
2*(m - 1566)**2/9
Let m(h) = 1. Suppose 0 + 1 = -b. Let w(u) = -u**2 + u + 8. Let i be -5*(13/(-130))/(3/36). Let s(g) = b*w(g) + i*m(g). Factor s(r).
(r - 2)*(r + 1)
Let z(p) = -4*p**2 - 236*p + 114. Let y(q) = q**2 + 3. Let h(c) = 6*y(c) - z(c). Factor h(l).
2*(l + 24)*(5*l - 2)
Factor 9*l + 1/3*l**4 - 26/3 - 9*l**3 + 25/3*l**2.
(l - 26)*(l - 1)**2*(l + 1)/3
Find l such that -5151125 - 5390*l + 1275*l**2 - 641*l**2 - 4760*l - 639*l**2 = 0.
-1015
Suppose 490*y**2 + 230 - 60 + 250 + 98*y**3 + 7*y**4 + 934*y + 120*y**2 - 5*y**4 = 0. What is y?
-42, -5, -1
Let x(h) = -h**2 - 8*h + 8. Suppose -43*n = -41*n + 16. Let d be x(n). Let -12*t**2 + 32*t - 15*t**3 - d + 7*t**3 - 4 = 0. What is t?
-3, 1/2, 1
Suppose -13 = 2*r + n + 4*n, -r + 2*n + 7 = 0. Let s be ((-24)/(-44))/(-1)*r/(-3). What is f in 0 + 8/11*f**4 + 0*f + s*f**5 + 8/11*f**3 + 0*f**2 = 0?
-2, 0
Let f(p) = -p**2 + 4*p - 1. Let c(r) = 7*r**2 + 4468*r + 1254403. Let k(v) = -c(v) - 3*f(v). Solve k(w) = 0.
-560
Let c be (-12)/(-45)*402 + (-48)/(-60). Determine d, given that 124*d**2 - 101 - 127*d**2 - c*d - 871 = 0.
-18
Let w(p) be the second derivative of p**6/60 - p**5/30 - p**4/3 + 4*p**3/3 + 145*p**2/2 - 126*p. Let z(b) be the first derivative of w(b). Solve z(n) = 0 for n.
-2, 1, 2
Suppose 18 = -36*s + 90. Let l(c) = -8*c + 19. Let w be l(s). What is v in w - 3/2*v**2 - 3/2*v = 0?
-2, 1
Let f(a) be the second derivative of 5/24*a**4 - 5*a**2 + 0*a**3 - 44*a + 0. Factor f(d).
5*(d - 2)*(d + 2)/2
Factor 3*s + 0 + 1/10*s**3 + 11/10*s**2.
s*(s + 5)*(s + 6)/10
What is p in 0 + 36/7*p**2 + 0*p - 106/7*p**4 - 16/7*p**5 - 54/7*p**3 = 0?
-6, -1, 0, 3/8
Let q(d) be the second derivative of -1/12*d**4 - 7/2*d**2 - 4/3*d**3 + 17*d + 0. What is v in q(v) = 0?
-7, -1
Let m(v) = -5*v**4 - 10*v**3 - 8*v**2 + 40*v - 25. Let q(o) = 17*o**4 + 31*o**3 + 25*o**2 - 120*o + 75. Let y(n) = -21*m(n) - 6*q(n). Solve y(t) = 0.
-5, 1
Let y be 2063/(-2270)*4*(-10)/8. Let f = -10/227 + y. Determine u, given that f*u**5 - 21*u**3 + 12*u - 3/2*u**4 + 6*u**2 + 0 = 0.
-2, -2/3, 0, 1, 2
Suppose 2*z - d + 39 = 0, -5*z - 82 = 4*d + 35. Let y be (-6)/(((-18)/(-4))/(z/7)). Find b such that 2*b**5 + 2*b**5 - 8*b**2 - 4*b - b**5 + b**5 + 8*b**y = 0.
-1, 0, 1
Let f(w) = w**2 + 8896*w - 133663. Let u be f(15). Factor 4/3*p - 1/9*p**u - 11/9.
-(p - 11)*(p - 1)/9
Determine f so that -32/9*f + 10/9*f**2 - 160/9 + 2/9*f**3 = 0.
-5, -4, 4
Let w = -1/214 - -803/107. Let b be (-4)/(-8)*16 - 2*-7 - 10. Factor 3/2*j**3 + b*j + w*j**2 + 6.
3*(j + 1)*(j + 2)**2/2
Let r(y) = -100*y**2 - 686*y - 4. Let t(i) = -251*i**2 - 1372*i - 10. Let p(c) = 5*r(c) - 2*t(c). Factor p(x).
2*x*(x - 343)
Let o be (-3 - -4)*(-1 - -1) + 6. Let r be (-240)/(-270)*o/8. Suppose -r*m + 0 + 1/3*m**2 = 0. What is m?
0, 2
Suppose 5 = q - 3*u, -3*u = 111083*q - 111085*q + 7. Determine w, given that -51/4*w**3 + 156*w + 45 + 27/4*w**5 + 573/4*w**q - 153/4*w**4 = 0.
-1, -2/3, 3, 5
Let j(t) = -t**3 + 17*t**2 + t - 18. Let l be j(16). Determine z so that 2*z**2 - 224 - 2*z**2 + l + 41*z - 5*z**3 - 6*z = 0.
-2, -1, 3
Let w(i) be the first derivative of -16*i + 174 + 17/9*i**3 - 32/3*i**2 - 1/10*i**5 + 13/24*i**4. Let w(j) = 0. Calculate j.
-3, -2/3, 4
Let p = 6/92785 + 185516/835065. Solve p*f**2 + 58/9*f + 12 = 0 for f.
-27, -2
Let c(y) be the first derivative of -4/5*y**5 + 5/2*y**2 - 1/6*y**6 - 95 - y**4 + 2*y + 2/3*y**3. Solve c(n) = 0 for n.
-2, -1, 1
Let c(u) be the first derivative of 3*u**5/25 + 21*u**4/10 - 3*u**3 + 1553. Determine r so that c(r) = 0.
-15, 0, 1
Suppose -488*n**3 - 217*n**3 + 5*n**4 - 1230 + 376*n + 859*n + 1225*n**2 - 530*n**3 = 0. What is n?
-1, 1, 246
Let -46*y**3 + 179/2*y**2 + 46*y + 1/2*y**4 - 90 = 0. What is y?
-1, 1, 2, 90
Let y(z) = z**3 + 2*z - 1. Let h(i) = 11*i**3 + 170*i**2 + 7*i - 176. Let d(j) = h(j) - 6*y(j). Suppose d(o) = 0. What is o?
-34, -1, 1
Let j(n) be the first derivative of 3*n**5/5 + 2157*n**4/4 - 1441*n**3 + 2163*n**2/2 - 1271. Factor j(f).
3*f*(f - 1)**2*(f + 721)
Let y(m) be the second derivative of -3*m**7/35 + 1031*m**6/25 + 516*m**5/25 - 597*m. Find n, given that y(n) = 0.
-1/3, 0, 344
Let m(v) be the first derivative of 13 - 1/4*v**4 + 3/2*v**2 + 1/40*v**5 + v**3 + 0*v. Let l(g) be the second derivative of m(g). Factor l(w).
3*(w - 2)**2/2
Let k = 76 - 57. Let q be (13/(-4) - 1/(-4)) + k. Factor -4*a**5 + 6*a**5 - 16*a**3 - 6*a**5 + q*a**4.
-4*a**3*(a - 2)**2
Let t be -2 + 10 - 10 - -4. Find i, given that 6/7 - 4/7*i - 2/7*i**t = 0.
-3, 1
Let v(t) = -t**2 - 21*t - 78. Let z be v(-5). Factor -104 + 53 - 15*c - c**2 - 4*c**z + 51.
-5*c*(c + 3)
Let n(r) = -r**3 - 19*r**2 + 22*r + 26. Let f be n(-20). Let k be (-7)/f*0/(-1). Find l, given that -2*l**3 - 5/2*l**2 + 0 + 1/2*l**4 + k*l = 0.
-1, 0, 5
Solve -82/5*q**2 - 3/5*q**4 + 32/5*q**3 + 21/5 + 32/5*q = 0.
-1/3, 1, 3, 7
Let w(g) = -g**2 + 2*g + 17. Let i(s) = -7*s**2 - 407*s + 366. Let d(f) = -i(f) + 2*w(f). Determine b so that d(b) = 0.
-83, 4/5
Let f(r) = -6*r**4 - 105*r**3 + 192*r**2 + 120*r. Let j(w) = 18*w**4 + 314*w**3 - 577*w**2 - 360*w. Let t(o) = 19*f(o) + 6*j(o). Suppose t(v) = 0. Calculate v.
-20, -1/2, 0, 2
Let t = -69/44 - -91/44. Suppose -6*j - t*j**2 - 11/2 = 0. Calculate j.
-11, -1
Let x = -2017 - -2123. Let t be 1884/314 - (-2)/((-36)/x). Factor -4/9*q**2 + 0 - t*q**5 + 5/9*q**4 - 2/3*q**3 + 8/9*q.
-q*(q - 2)**3*(q + 1)/9
Let m(r) be the second derivative of 441*r**5/50 + 133*r**4/5 - 164*r**3/15 + 8*r**2/5 - 4*r - 144. Factor m(x).
2*(x + 2)*(21*x - 2)**2/5
Suppose t + 941 = -5*v - 3*t, -4*t = -2*v - 382. Let l be (-84)/v + (-212)/(-90). What is r in -4/5*r**3 - 92/5*r**2 + l*r**4 - 10 + 26*r + 2/5*r**5 = 0?
-5, 1
Let g(l) be the third derivative of -l**7/420 + 7*l**6/60 + 143*l**5/40 - 7615*l**2. Factor g(d).
-d**2*(d - 39)*(d + 11)/2
Let z(l) = -l**3 + 31*l**2 - 76*l - 1400. Let r be z(26). Let 18/23*v**3 - 2*