*(m + 2)/15
Let m(n) be the first derivative of n**6/72 + n**5/4 - 88*n**3/3 - 103. Let p(c) be the third derivative of m(c). Suppose p(u) = 0. Calculate u.
-6, 0
Let v(j) be the first derivative of -j**5 + 570*j**3 + 5500*j**2 - 12705*j + 4138. Suppose v(q) = 0. What is q?
-11, 1, 21
Let p be (191002/(-45510))/7 + (-33)/(-55). Let a = 63704/22755 + p. Determine v, given that a*v - 4/5 + 18/5*v**2 = 0.
-1, 2/9
Let u(g) be the second derivative of g**5/4 - 5*g**4/2 - 85*g**3/2 - 110*g**2 - 1545*g - 1. Determine o, given that u(o) = 0.
-4, -1, 11
Let w(a) be the second derivative of -a**7/189 + 2*a**6/27 - 17*a**5/90 + 4*a**4/27 - 5095*a. Find f such that w(f) = 0.
0, 1, 8
Suppose 0 = -h + 286 - 78. Let w = h - 154. Find l, given that -1/4*l**3 + 9/2*l**2 + w - 27*l = 0.
6
Suppose 1580 = 2*p + 13*z - 15*z, 0 = -5*p - 5*z + 3970. Let y be -6*11/p - (-50)/24. Factor -10/9*v**3 + 2/3*v**y + 2/9*v**5 + 0 + 0*v + 2/9*v**4.
2*v**2*(v - 1)**2*(v + 3)/9
Determine c so that 0 + 1104/7*c**2 + 1128/7*c**3 + 0*c + 6/7*c**5 + 300/7*c**4 = 0.
-46, -2, 0
Suppose 146*k + 54*k - 430 - 510 = -340. Factor 1/5*t**k - 2/5*t**2 + 0 - 8/5*t.
t*(t - 4)*(t + 2)/5
Let l be -5*(-44)/55*(0 - -4). Let p be 5*l/(-40) + 5. Factor -1/8*u + 1/2 - 1/2*u**2 + 1/8*u**p.
(u - 4)*(u - 1)*(u + 1)/8
Let h(j) = 13*j**2 + 9*j - 327. Let q(d) = 16*d**2 + 12*d - 328. Let m(s) = 4*h(s) - 3*q(s). Determine r so that m(r) = 0.
-9, 9
Factor -1/2*s**2 - 154449/2 + 393*s.
-(s - 393)**2/2
Let n(a) be the first derivative of 3*a**5/40 + 3*a**4/2 + 9*a**3 + 166*a + 136. Let u(x) be the first derivative of n(x). Factor u(d).
3*d*(d + 6)**2/2
Let m be 3*23/(-138)*16/(-24). Let 1/3*k**3 - 5/3*k - k**2 - 2/3 + m*k**4 = 0. Calculate k.
-1, 2
Solve 6 - 57/2*m + 57/4*m**2 + 195/4*m**3 = 0 for m.
-1, 4/13, 2/5
Let q be 8/44 - (-621)/33. Suppose q*a**2 + 25*a**2 - 68*a - 8*a**3 + 2 - 12 + 34 = 0. What is a?
1/2, 2, 3
Let p be (-48)/(-176)*(-17 + (41 - 13)). Factor -24 - 2*q**p + 34*q - 26/3*q**2 + 2/3*q**4.
2*(q - 3)**2*(q - 1)*(q + 4)/3
Let o(b) be the third derivative of -b**7/840 + 19*b**6/480 + 7*b**5/15 + 47*b**4/24 + 4*b**3 + 2311*b**2 + 1. Factor o(n).
-(n - 24)*(n + 1)*(n + 2)**2/4
Let o(b) be the second derivative of -b**5/15 - 1138*b**4/27 - 758*b**3/27 + 3373*b. Let o(r) = 0. What is r?
-379, -1/3, 0
Let a(d) be the third derivative of -d**5/390 - 83*d**4/26 - 497*d**3/39 - 6*d**2 - 132*d + 2. Let a(j) = 0. Calculate j.
-497, -1
Let v = 126423 - 252801/2. Factor 9*c**2 + 129/4*c - 3/4*c**3 + v.
-3*(c - 15)*(c + 1)*(c + 2)/4
Let i(k) be the second derivative of k**7/21 + 14*k**6/3 + 1357*k**5/10 + 770*k**4 + 1452*k**3 - 2*k - 2086. Solve i(w) = 0 for w.
-33, -2, 0
Factor -2/3*d**3 - 114 + 70*d - 26/3*d**2.
-2*(d - 3)**2*(d + 19)/3
Let i = -5159 + 5162. Let s(f) be the third derivative of 0 - 2/3*f**i - 1/6*f**4 - 1/60*f**5 - 24*f**2 + 0*f. Determine r so that s(r) = 0.
-2
Let q(p) be the second derivative of -p**4/21 + 76*p**3/7 - 64*p**2 + 1139*p. Factor q(s).
-4*(s - 112)*(s - 2)/7
Let i be (10/16 - 1)/(438/(-3504)). Factor 2/13*y - 36/13 - 2/13*y**i + 36/13*y**2.
-2*(y - 18)*(y - 1)*(y + 1)/13
Let l be 332/792 - (-180)/(-495). Let s(k) be the first derivative of -3 - 5/9*k**2 + 2/27*k**3 + l*k**4 + 2/3*k. Factor s(y).
2*(y - 1)**2*(y + 3)/9
Suppose 261882*x - 18 = 261884*x - 2*k, 0 = -3*x - 3*k + 51. Factor -112*o**3 + 4208/11*o**2 + 288/11 + 98/11*o**x - 192*o.
2*(o - 6)**2*(7*o - 2)**2/11
Let y(h) = h**3 - 409*h**2 + 47945*h - 184900. Let p(s) = 5*s**2. Let w(a) = 5*p(a) - y(a). Solve w(n) = 0.
4, 215
Factor 1878*b**2 - 20 + 0*b**5 - 2026*b**2 - 78*b**3 - 136*b - 20*b**4 - 28 + 2*b**5 - 4*b**5.
-2*(b + 1)*(b + 2)**3*(b + 3)
Let o(v) = 3*v**4 + 2*v**2 + v + 6. Let x(y) = -8*y**4 - 3*y**3 - 4*y**2 - y - 12. Let a(d) = 2*o(d) + x(d). Factor a(n).
-n*(n + 1)**2*(2*n - 1)
Let l(x) be the first derivative of 2/3*x**3 + 1/12*x**2 - 1/24*x**4 - 2*x - 85. Solve l(h) = 0 for h.
-1, 1, 12
Let p be 2 - (1/(-2)*4 - -1). Factor -1200*r + 1164*r - 4*r**2 + p - 3.
-4*r*(r + 9)
Let u(x) = -4*x**3 + 14*x**2 - 19*x - 93. Let i(c) = 11*c**3 - 41*c**2 + 56*c + 276. Let t(a) = 3*i(a) + 8*u(a). Determine q so that t(q) = 0.
-2, 6, 7
Let o(f) be the second derivative of 2*f**2 + 4/9*f**3 + 1/90*f**5 - 12*f + 1/9*f**4 + 0. Let x(q) be the first derivative of o(q). Find k, given that x(k) = 0.
-2
Let h(i) be the third derivative of -i**5/30 - 37*i**4/12 - 12*i**3 - 1062*i**2. Factor h(c).
-2*(c + 1)*(c + 36)
Let d(h) be the second derivative of 7*h**6/360 + h**5/60 - h**3/6 + 31*h**2/2 + 66*h. Let r(x) be the second derivative of d(x). Find l, given that r(l) = 0.
-2/7, 0
Let d be (2/6)/((-25)/(-2775)). Solve -21*f - d*f**2 + 40 + 7*f**2 - 2*f**4 + 16*f**3 - 27*f + 40*f = 0.
-1, 2, 5
Let c be 8/10*(-25)/(-30). Let o = -150 + 454/3. Find g, given that o*g**3 + c*g + 0 - 5/3*g**2 - 1/3*g**4 = 0.
0, 1, 2
Let n be (224/14 + -17)*2/(-90). Let w(u) be the second derivative of -n*u**3 - 11*u + 1/50*u**5 + 1/45*u**6 + 0*u**2 - 1/90*u**4 + 2/315*u**7 + 0. Factor w(o).
2*o*(o + 1)**3*(2*o - 1)/15
Let m(p) = -114*p**3 - 13296*p**2 - 26415*p - 13365. Let f(n) = 7*n**3 + 831*n**2 + 1651*n + 835. Let y(t) = -33*f(t) - 2*m(t). Factor y(j).
-3*(j + 1)**2*(j + 275)
Let q(b) be the first derivative of -b**4/4 - 8*b**3/3 - 7*b**2/2 - 1269. Factor q(n).
-n*(n + 1)*(n + 7)
Let b = 1388125/6 - 231923. Let w = b + 569. Solve -1/6*l + 1/6 - 1/6*l**2 + w*l**3 = 0 for l.
-1, 1
Let b(x) be the first derivative of 1/2*x**4 + 4/5*x + 28 - x**2 + 0*x**3 - 4/25*x**5. Determine z, given that b(z) = 0.
-1, 1/2, 1, 2
Let v(g) be the first derivative of 3/5*g**5 - 54*g**2 + 48*g + 28*g**3 - 27/4*g**4 - 46. Find t, given that v(t) = 0.
1, 2, 4
Suppose 26*l - 66 + 14 = 0. Factor 38*g**l - 21 + 41*g**2 - 18*g - 64*g**2 - 60.
3*(g - 3)*(5*g + 9)
Let i(a) = -4*a + 131. Let q be i(0). Let o = q - 127. Factor o*p**3 + 4/5*p**2 - 4/5 - 4*p.
4*(p - 1)*(p + 1)*(5*p + 1)/5
Let h = -23 - -61. Let t = 42 - h. Find z such that 10*z**3 - 3 + t*z**4 - 4*z**3 - 6*z - z**4 = 0.
-1, 1
Let l(n) be the third derivative of 282*n**2 + 4/45*n**6 + 0*n + 17/315*n**7 + 0*n**4 + 2/45*n**5 + 0 + 0*n**3 + 5/504*n**8. Find h, given that l(h) = 0.
-2, -1, -2/5, 0
Let y(w) be the third derivative of -w**7/126 + w**6/2 - 65*w**5/6 + 845*w**4/18 + 10985*w**3/6 - 15*w**2 + 4*w. Factor y(x).
-5*(x - 13)**3*(x + 3)/3
Let n = 113 - 109. Factor 241*c - 235*c - 6*c**3 + c**4 + 2*c**n - 3.
3*(c - 1)**3*(c + 1)
Let j(d) = d**3 + 142*d**2 + 4117*d + 3900. Let i be j(-39). Let l be 1/(-2)*(0 + 0). Solve -2/5*u**5 - 2/5*u**4 + l + 2/5*u**3 + i*u + 2/5*u**2 = 0.
-1, 0, 1
Let t(f) be the second derivative of f**5/5 - 85*f**4/3 - 486*f**3 - 2790*f**2 - 5259*f. What is c in t(c) = 0?
-5, -3, 93
Suppose 0 = m + 4*k + 38, -4*m + 3*k + 670 = 632. Suppose -28/23*b - 2/23*b**m - 98/23 = 0. What is b?
-7
Let w(q) be the third derivative of -q**6/90 - q**5/45 + 6*q**2 + 72*q. Factor w(t).
-4*t**2*(t + 1)/3
Let p(i) be the first derivative of -100/3*i**2 - 3*i**3 + 4/15*i**5 - 16*i + 50 + 7/4*i**4. Factor p(c).
(c - 3)*(c + 4)**2*(4*c + 1)/3
Suppose -3*w - 16*s = -18*s - 112, -4*w + 146 = -s. Factor -w - 37*c**2 + 25/2*c**4 - 35/2*c**3 + 78*c.
(c - 1)*(c + 2)*(5*c - 6)**2/2
Let z be -2 - -7 - 4 - -19. Solve 36*y**3 + 16*y**3 - 36*y**3 + y - 4*y**4 + 7*y - z*y**2 = 0.
0, 1, 2
Suppose 15*f + 24042 = -11088. Let h = -9367/4 - f. Factor h*r**2 + 1/4*r - 1/2.
(r - 1)*(r + 2)/4
Let s(x) be the first derivative of -13 - 2/21*x**3 - x**2 + 36/7*x. Factor s(n).
-2*(n - 2)*(n + 9)/7
Let o(y) be the first derivative of -7*y**4 - 988*y**3/3 - 2576*y**2 - 1392*y - 3053. Factor o(x).
-4*(x + 6)*(x + 29)*(7*x + 2)
Let i = 95/3576 + 44/447. Let o = -267 + 269. Suppose 0*a + 0 + i*a**o = 0. What is a?
0
Let d(u) be the first derivative of -2*u**3/3 + 5*u**2 + 12*u - 859. Let d(n) = 0. What is n?
-1, 6
Let x(s) be the third derivative of 0*s**3 - 7*s**2 + 0 + 1/60*s**5 + 7/8*s**4 + 3*s. Find h, given that x(h) = 0.
-21, 0
Let j = -1378 + 1383. Suppose 4*f = 3 + 1. Factor j - u**2 + 21*u - 2 - f - 20*u.
-(u - 2)*(u + 1)
Find z, given that -202/3*z**2 + 550/3*z - 46/3*z**3 - 100 - 2/3*z**4 = 0.
-15, -10, 1
Suppose -2*d + 4 = 4*q, q = 3*d - 16 + 38. Let a(k) be the first derivative of -5/14*k**q + 0*k - 4/7*k**2 - 2/35*k**