.
-1, 2/5
Let m(u) be the first derivative of 5*u**3/3 - 140*u**2 - 285*u + 2646. Determine q, given that m(q) = 0.
-1, 57
Suppose -9115*l - 420 = 9213*l - 18468*l. Factor 1/8*n**l + n + 3/4*n**2 + 0.
n*(n + 2)*(n + 4)/8
Let p = -4377 + 4377. Let b(u) be the third derivative of 20*u**2 + p*u**3 - 1/50*u**6 + 1/525*u**7 + 0 + 0*u + 1/30*u**5 + 0*u**4. Factor b(d).
2*d**2*(d - 5)*(d - 1)/5
Suppose 5*h + 4*g = -391, -4*h = -9*h - 3*g - 392. Let c = h - -81. Solve -s**3 + 0 - s - 5/2*s**c = 0 for s.
-2, -1/2, 0
Find d, given that -219/10*d + 161/10*d**2 + 3/10*d**3 + 11/2 = 0.
-55, 1/3, 1
Let z = 58377/703 - 3053/37. Let 2/19*p**2 + 6/19 + z*p - 2/19*p**3 = 0. What is p?
-1, 3
Suppose -2*q**3 - 14/3*q**4 + 28/3*q + 0 + 2/3*q**5 + 38/3*q**2 = 0. What is q?
-1, 0, 2, 7
Solve -12*k**2 + 11*k**3 + 23/2 - 11*k + 1/2*k**4 = 0.
-23, -1, 1
Let t(y) = 10*y**2 + 104*y - 685. Let o be t(-15). Factor -1/2*n**2 - 3/2*n + o.
-(n - 2)*(n + 5)/2
Let w(u) be the first derivative of u**6/135 + u**5/15 + 11*u**4/54 + 2*u**3/9 - 42*u + 64. Let b(m) be the first derivative of w(m). Factor b(q).
2*q*(q + 1)*(q + 2)*(q + 3)/9
Let n(j) be the first derivative of -4*j**3/9 + 149*j**2/2 + 112*j/3 + 2126. Factor n(p).
-(p - 112)*(4*p + 1)/3
Suppose 48 = -1633*d + 1641*d. Suppose -34*b = -37*b - 2*y + d, -5*b + 3*y = -10. What is o in -2/11*o**3 + 0*o**b + 0 + 8/11*o = 0?
-2, 0, 2
Let m(x) be the first derivative of 3*x**4/4 - 981*x**3 + 5877*x**2/2 - 2937*x - 762. Determine d, given that m(d) = 0.
1, 979
Let d(f) be the second derivative of 0*f**2 + 1/12*f**4 - 1/6*f**3 + 1/20*f**5 + 0 - 1/30*f**6 - 37*f. What is u in d(u) = 0?
-1, 0, 1
Let v(c) be the second derivative of c**6/20 + 123*c**5/40 + 519*c**4/8 + 1751*c**3/4 - 1734*c**2 + 744*c. Find h, given that v(h) = 0.
-17, -8, 1
Let r(l) be the second derivative of l**6/1260 - l**5/30 + 13*l**4/84 - 76*l**3/3 - 8*l. Let x(y) be the second derivative of r(y). Factor x(v).
2*(v - 13)*(v - 1)/7
Let s(a) = -52*a**4 + 688*a**3 - 28*a**2 - 808*a. Let r(w) = 4*w**4 - 53*w**3 + 2*w**2 + 62*w. Let m(c) = 40*r(c) + 3*s(c). Solve m(z) = 0.
-1, 0, 1, 14
Let z = 478 - 476. Let i be (-1)/2 - (-50)/20. Find n, given that -i - 6 + 27 + 12*n - z*n**2 - 5 = 0.
-1, 7
Factor 45 - 168555*l**2 + 168559*l**2 + 39 + 40*l.
4*(l + 3)*(l + 7)
Let n = -156 - -159. Suppose -5*z**2 + 3*z + n*z + 0*z + 174*z**3 - 173*z**3 = 0. Calculate z.
0, 2, 3
Let l(h) be the first derivative of -1/20*h**4 + 44/15*h**3 + 0*h - 35 + 9/2*h**2. Determine g so that l(g) = 0.
-1, 0, 45
Factor 1968/7 - 2/7*f**3 + 280*f + 484/7*f**2.
-2*(f - 246)*(f + 2)**2/7
Factor 216/5*o - 24*o**2 + 2/5*o**3 + 0 + 2/5*o**4.
2*o*(o - 6)*(o - 2)*(o + 9)/5
Let x be -7*-10*1/7. Let d = 14 - x. Let -2*w**2 + 2*w**5 - 15*w**3 + 5*w**3 - 7*w**d + 9*w**4 + 16*w - 8 = 0. What is w?
-2, 1
Let n(j) be the third derivative of -57*j**8/28 - 144*j**7/7 + 437*j**6/15 + 128*j**5/5 - 7*j**4/6 - 2*j**2 + 1248*j. Determine r so that n(r) = 0.
-7, -1/3, 0, 1/57, 1
Let y(l) be the first derivative of l**6/900 - l**5/150 + l**3/3 - 3*l - 25. Let j(f) be the third derivative of y(f). Factor j(r).
2*r*(r - 2)/5
Let r(w) be the second derivative of 0 - 5/3*w**2 - 1/120*w**5 + 5/18*w**4 - 117*w + 1/36*w**3. Let r(k) = 0. What is k?
-1, 1, 20
Let w(h) be the first derivative of 116*h + 106 - 56*h**2 + 25/3*h**3 + 1/4*h**4. Factor w(y).
(y - 2)**2*(y + 29)
Suppose 1384*u - 1545 = -1545. Determine y, given that 2/7*y**2 + u*y + 0 + 5/7*y**4 + y**3 = 0.
-1, -2/5, 0
Let k(t) be the second derivative of 5/12*t**4 + 18*t - 1/6*t**6 + 0*t**2 + 3/4*t**5 - 5/3*t**3 + 0 - 5/42*t**7. Let k(i) = 0. Calculate i.
-2, -1, 0, 1
Let a(i) be the first derivative of -i - i**4 - 5 - 2*i**3 - 2*i**2 - 1/5*i**5. Factor a(f).
-(f + 1)**4
Let u(j) be the first derivative of -j**7/168 + j**6/18 + j**5/6 - 10*j**4/3 - 16*j**3 - 58. Let f(b) be the third derivative of u(b). Factor f(h).
-5*(h - 4)*(h - 2)*(h + 2)
Let i = 20 + -17. Suppose -2*m + 11 = -8*p + i*p, -10 = -3*m + p. Factor m + 6*h + 10 - 14 + 10 - 3*h**2.
-3*(h - 3)*(h + 1)
Find t, given that 337646392322/11 - 2106997768/11*t - 5128/11*t**3 + 4930572/11*t**2 + 2/11*t**4 = 0.
641
Suppose 27*b - 30 = 30*b. Let k be (-1276)/b + 16/40. Find u, given that 20*u + 20 + 266*u**2 - k*u**2 - 133*u**2 = 0.
-2
Suppose 3*t = 6, q - 2*t = 6*q - 19. Suppose -q*u = -39*u. What is w in -2/7*w**4 + 0 + u*w + 4/7*w**2 - 2/7*w**3 = 0?
-2, 0, 1
Let d(g) = 10*g**4 + 273*g**3 + 20*g**2 - 9*g + 9. Let u(l) = -l**4 - 29*l**3 + l - 1. Let y(w) = 4*d(w) + 36*u(w). Factor y(k).
4*k**2*(k + 2)*(k + 10)
Let g(y) = -8*y**3 + 465*y**2 + 291*y - 208093. Let k(n) = -4*n**3 + 235*n**2 + 145*n - 104047. Let m(v) = -3*g(v) + 5*k(v). What is u in m(u) = 0?
-19, 37
Let p = 7/22 + 5/88. Let k(n) be the first derivative of -1/12*n**3 - p*n**2 - 12 - 1/2*n. Factor k(x).
-(x + 1)*(x + 2)/4
Let d be 11/(44/16) - -1. Let p(k) = -3*k**2 - 17*k - 20. Let q(c) = -6*c**2 - 35*c - 41. Let x(t) = d*p(t) - 2*q(t). Let x(i) = 0. What is i?
-3, -2
Let i(a) be the third derivative of -a**5/300 + 4*a**4/15 + 24*a**3/5 - 3583*a**2. Let i(y) = 0. Calculate y.
-4, 36
Let u = -4090 - -4090. Let v(i) be the third derivative of 0 + 0*i**3 - 4*i**2 + u*i**4 + 2/15*i**5 + 2/105*i**7 + 1/10*i**6 + 0*i. Find c, given that v(c) = 0.
-2, -1, 0
Let m(k) be the second derivative of 0 - 113*k + 0*k**2 - 2/5*k**3 - 2/3*k**4. Suppose m(u) = 0. What is u?
-3/10, 0
Suppose -4*k + 20 = 12. Let o be ((-5504)/(-1032))/((-52)/(-6)). Solve -10/13*p - o*p**k - 2/13*p**3 - 4/13 = 0.
-2, -1
Let h(t) be the second derivative of 2*t**6/15 - 1014*t**5/5 - 1133*t - 2. Factor h(r).
4*r**3*(r - 1014)
Let t(s) = -21*s**4 + 146*s**3 + 116*s**2 - 211*s + 5. Let h(z) = 32*z**4 - 220*z**3 - 176*z**2 + 316*z - 8. Let f(p) = 5*h(p) + 8*t(p). Factor f(n).
-4*n*(n - 9)*(n - 1)*(2*n + 3)
Let x(u) = u**2 - 4*u - 49. Let n be x(9). Let l be ((-3)/((-9)/n))/(34/(-51)). Let -3/2*z**5 + 0*z + 0 + z**4 + 3/2*z**3 - z**l = 0. What is z?
-1, 0, 2/3, 1
Let r(d) = -d**3 + 2*d**2 + d + 1. Let t(h) = -2*h**3 + 15*h**2 + 6*h - 34. Let o(s) = -3*r(s) + t(s). Let b be o(-8). Factor 0 + 1/9*q**b - 2/3*q**2 + q.
q*(q - 3)**2/9
Let a = 55849 - 55844. Factor 0*w - 2/3*w**a - 10*w**3 + 0 + 6*w**2 + 14/3*w**4.
-2*w**2*(w - 3)**2*(w - 1)/3
Let n(w) = 16*w**2 - 81*w - 34. Let t(m) = 14*m**2 - 76*m - 36. Let c(b) = -6*n(b) + 7*t(b). Factor c(r).
2*(r - 24)*(r + 1)
Let s(c) be the first derivative of c**4/4 - 226*c**3/3 + 446*c**2 - 888*c + 2162. What is q in s(q) = 0?
2, 222
Suppose 15*q = -8*q + 2484. Let n = 113 - q. What is v in -69*v + 30 + 48*v**3 - 150*v**2 + 70*v**4 + 29*v**4 + 21*v**4 + 21*v**n = 0?
-5, -1, 2/7, 1
Let y(r) be the first derivative of -1/9*r**6 + 3/5*r**4 + 8/15*r**2 + 0*r + 50 - 56/45*r**3 + 14/75*r**5. Find j such that y(j) = 0.
-2, 0, 2/5, 1, 2
Let v be (435/(-29) + 19)*2/2. Let n(l) be the second derivative of 1/3*l**2 + 1/6*l**3 - v*l + 1/36*l**4 + 0. Factor n(u).
(u + 1)*(u + 2)/3
Let g(z) be the second derivative of z**4/12 - z**3/3 - 3*z**2/2 + 68*z + 1. Factor g(s).
(s - 3)*(s + 1)
Suppose -1030 = 16*v - 374*v + 402. Let 28/3*x**3 - 2 - 26/9*x**v - 116/9*x**2 + 74/9*x + 2/9*x**5 = 0. What is x?
1, 9
Let d(p) = 9*p**2 + 2*p - 1. Let t(y) = -26*y**2 - 6*y + 3. Suppose -63 = 6*a + 39. Let b(r) = a*d(r) - 6*t(r). Factor b(o).
(o + 1)*(3*o - 1)
Find m such that 238/11*m**2 - 128/11*m**5 + 168/11*m**3 + 68/11*m + 6/11 - 32*m**4 = 0.
-3, -1/4, 1
Let h be ((-10)/72)/(-16 + 115/15). Let c(u) be the third derivative of -1/360*u**6 + 0*u - 2/9*u**3 + h*u**5 + 0 + 0*u**4 + 7*u**2. Let c(p) = 0. Calculate p.
-1, 2
Solve -274*j**3 - 18*j**3 - 11*j**3 - 25*j**5 - 222*j**3 + 45*j**5 + 685*j**4 = 0.
-35, 0, 3/4
Let l = -226 - -232. Let j be 8/l + (-36)/54. Let -1/3*o**4 - 1/3*o**2 + 0*o - j*o**3 + 0 = 0. Calculate o.
-1, 0
Let i(u) be the first derivative of -2/3*u**3 - 23/10*u**2 - 14/5*u + 190 - 1/20*u**4. Solve i(a) = 0.
-7, -2, -1
Suppose 306*a = 560*a + 1290*a - 3088. Factor -3/5 - 17*m**a + 5*m**3 + 31/5*m.
(m - 3)*(5*m - 1)**2/5
Let a(f) = -f**2 - 43*f - 231. Let m be a(-7). Factor 2*x**3 + 49 - 20 - 229 - m*x - 17*x + 12*x**2 + 8*x.
2*(x - 4)*(x + 5)**2
Let a(g) = g**3 + 24*g**2 + 24*g + 33. Let o be a(-23). Let v be 2/(-30)*o*(-5)/20. Suppose v*x**4 + 2/3*x + 2/3 - 1/3