t i(r) = 42*a(r) + 3*m(r). Factor i(f).
-3*(f - 166)*(f - 1)
Let o = 80 + -83. Let w(h) = -5*h**2 + 9*h - 3. Let g(b) = -9*b**2 + 19*b - 5. Let l(u) = o*g(u) + 5*w(u). Determine a, given that l(a) = 0.
0, 6
Let c(a) be the third derivative of -a**7/70 + 2*a**6/5 - 18*a**5/5 + 216*a**3 + 2806*a**2 + 1. Factor c(q).
-3*(q - 6)**3*(q + 2)
Let w be (15*-1 - 10287/(-635))*5/4. Determine d so that -9/2*d**4 - w - 23/4*d + 23/4*d**3 + 6*d**2 = 0.
-1, -2/9, 1, 3/2
Let x(u) = -49*u**2 - 246*u - 5. Let j be x(-5). Let k(z) be the second derivative of -3*z + 1/3*z**3 + j + 6/5*z**2 + 1/30*z**4. Factor k(d).
2*(d + 2)*(d + 3)/5
Let w be ((-2)/((-24)/9))/((-33)/44 - -1). Factor 24/19*a**2 + 0 + 4/19*a**4 + 8/19*a + 18/19*a**w.
2*a*(a + 2)**2*(2*a + 1)/19
Let a = 1320 - 1317. Let h be a + ((-2193)/(-221) - (2 - -2)). Determine q so that 16/13 - 6*q**3 + h*q**2 + 18/13*q**4 - 72/13*q = 0.
2/3, 1, 2
Determine m so that 9/7*m**2 + 5/7*m - 9/7 - 5/7*m**3 = 0.
-1, 1, 9/5
Let n be -1 - -18 - 1 - 0. Let f be (-12)/8*n/(-3). Let 21*g**3 + 9*g**5 + 6*g**2 + 9*g**4 + f*g**4 + 7*g**4 = 0. Calculate g.
-1, -2/3, 0
Let m(f) be the second derivative of f**4/102 - 62*f**3/51 + 961*f**2/17 - 3304*f - 1. Solve m(v) = 0.
31
Let m(a) = 6*a**3 - 1208*a**2 + 4850*a - 4870. Let j(c) = 16*c**3 - 2415*c**2 + 9693*c - 9739. Let i(t) = -2*j(t) + 5*m(t). Factor i(b).
-2*(b - 2)**2*(b + 609)
Let a(r) be the second derivative of r**6/120 + 4*r**5/5 + 181*r**4/8 + 248*r**3/3 + 961*r**2/8 + 4*r - 73. Find q, given that a(q) = 0.
-31, -1
Let s be 5/((-315)/14) - (-63370)/(-10728). Let k = 18/149 - s. Find t, given that k + 1/4*t**2 + 5/2*t = 0.
-5
Determine k, given that -3/2*k**4 + 3450*k - 3750 - 69*k**3 - 1287/2*k**2 = 0.
-25, 2
Factor 67/2*f**2 + 126 + f**3 - 1/2*f**4 - 130*f.
-(f - 7)*(f - 2)**2*(f + 9)/2
Let j be -9 + (-20)/(400/(-195)). Find a, given that 3/2*a**2 + 5/4*a + 3/8 + 1/8*a**4 + j*a**3 = 0.
-3, -1
Let q(t) be the second derivative of -1/3*t**2 - 16/27*t**3 - 115*t + 0 - 17/54*t**4 - 2/45*t**5. Suppose q(n) = 0. What is n?
-3, -1, -1/4
Let j(k) = 1. Let a = -49 - -34. Let t(f) = -f**2 - 5. Let u(y) = a*j(y) - 3*t(y). Let g(b) = -2*b**2. Let d(i) = 4*g(i) + 3*u(i). Factor d(c).
c**2
Let n be (594/14)/(-3) - (-3485 + 3470). Determine h, given that 2/7*h**2 + 8/7*h + n = 0.
-3, -1
Determine y, given that 12/5*y**2 + 1 + 2/5*y**3 - 1/5*y**4 + 14/5*y = 0.
-1, 5
Let x(v) = 162*v**3 - 338*v**2 - 120*v + 396. Suppose n - 3*l = 3*n + 14, -28 = 5*n + 4*l. Let q(c) = -c**2 + 2*c - 1. Let j(o) = n*q(o) - x(o). Factor j(i).
-2*(i + 1)*(9*i - 14)**2
Let f = 232229/24 + -9676. Let j(a) be the third derivative of 1/12*a**6 + 0 + 13*a**2 - 5/336*a**8 + 0*a**3 - f*a**4 + 0*a**5 + 0*a**7 + 0*a. Factor j(p).
-5*p*(p - 1)**2*(p + 1)**2
Let w(p) be the third derivative of -p**7/210 - 19*p**6/90 - 7*p**5/6 - 17*p**4/6 + 107*p**3/6 + 91*p**2. Let i(o) be the first derivative of w(o). Factor i(h).
-4*(h + 1)**2*(h + 17)
Let b(s) be the second derivative of 1/225*s**6 - 17/90*s**4 - 1/5*s**3 + 7*s + 0 + 0*s**2 - 7/150*s**5. Factor b(a).
2*a*(a - 9)*(a + 1)**2/15
Let x(k) be the first derivative of 1/6*k**2 + 2*k - 30 - 1/9*k**3. Let x(q) = 0. What is q?
-2, 3
Let c(k) be the second derivative of k + 4 + 0*k**2 + 4/9*k**3 + 1/9*k**4. Solve c(b) = 0 for b.
-2, 0
Let g = 579562/7 + -82794. Suppose 4/7*j**2 - g + 4/7*j**3 - 4/7*j = 0. What is j?
-1, 1
Let r(y) = 294*y**4 - 870*y**3 + 862*y**2 - 282*y + 4. Let d(a) = a**3 - a**2 + 1. Let l(k) = -8*d(k) + r(k). Solve l(j) = 0.
-2/147, 1
Let b(i) be the third derivative of i**5/15 + 5*i**4 + 112*i**3/3 - 487*i**2. Solve b(q) = 0.
-28, -2
Let r = 1575 + -2305. Let o = 732 + r. Factor 0 - 2/3*y**3 + 2/3*y**o + 2/3*y - 2/3*y**4.
-2*y*(y - 1)*(y + 1)**2/3
Suppose 12098 + 158*p - 9*p**2 + 226*p + 12*p**2 + 6334 - p**2 = 0. Calculate p.
-96
Let j = -2324199/11 + 211293. Factor -80/11*l - 2*l**2 - j + 6/11*l**3.
2*(l - 6)*(l + 2)*(3*l + 1)/11
Let d be (-4)/(-14)*49/7. Let a be d/4 - (-6)/(-4). Let u(g) = 12*g**2 - 15*g + 3. Let r(t) = t**2 - t. Let n(m) = a*u(m) + 15*r(m). Factor n(q).
3*(q - 1)*(q + 1)
Let g(t) = t**3 - 20*t**2 - 2*t. Suppose 7 = -43*d + 42*d. Let c(v) = -v**3 + 9*v**2 + v. Let y(x) = d*c(x) - 3*g(x). Factor y(w).
w*(w - 1)*(4*w + 1)
Factor -180*d + 4*d**4 + 708 + 68*d**2 - 4*d**3 + 590 - 1410 - 56*d - 200*d**2.
4*(d - 7)*(d + 1)**2*(d + 4)
Let s(m) be the second derivative of 2*m**7/189 + 2*m**6/45 + m**5/15 + m**4/27 - 19*m**2 - 9*m. Let j(y) be the first derivative of s(y). Solve j(g) = 0 for g.
-1, -2/5, 0
Let j(u) be the second derivative of -5*u**4/12 - 3385*u**3/6 + 1695*u**2 - 30*u - 1. Let j(z) = 0. What is z?
-678, 1
Let z be ((-352)/56)/(1012/(-322)). Factor 12/5*v + 2/5*v**z + 16/5.
2*(v + 2)*(v + 4)/5
Let c be 0*2/(-6) - -3. Suppose c*p - p - 10 = 0. Factor p*i**2 + 0*i**3 - 2*i**3 - 7*i**2 + 4*i.
-2*i*(i - 1)*(i + 2)
Let y(t) = t**3 - 5*t**2 - 13*t - 5. Suppose 12*f - 34 = 50. Let o be y(f). Factor -2/9*q**o - 8/9 + 10/9*q.
-2*(q - 4)*(q - 1)/9
Solve 344*g**3 + 6*g**4 - 1804*g**2 + 362*g - 5*g**4 - 3*g**4 + 6*g**4 + 1094*g = 0 for g.
-91, 0, 1, 4
Let r(g) be the third derivative of 25/8*g**4 + 3/8*g**6 - 23/12*g**5 + 0*g - 1/42*g**7 + 0*g**3 + 27*g**2 + 2. Solve r(x) = 0 for x.
0, 1, 3, 5
Factor -16/11*x**2 + 2/11*x + 2/11*x**3 + 84/11.
2*(x - 7)*(x - 3)*(x + 2)/11
Let r(p) be the third derivative of 1/133*p**7 - 4/57*p**3 - 41/1140*p**6 - 8*p**2 + 0 - 1/76*p**4 + 11/190*p**5 - 2*p. Find a such that r(a) = 0.
-4/15, 1
Let j(x) = -5*x**3 + 123*x**2 - 828*x - 560. Let k(i) = -10*i**3 + 245*i**2 - 1635*i - 1120. Let h(d) = 35*j(d) - 18*k(d). Determine p so that h(p) = 0.
-1, 8, 14
Let k(s) be the first derivative of -17*s**2 - 7/2*s**4 - 34/3*s**3 - 12*s - 2/5*s**5 + 124. Solve k(d) = 0 for d.
-3, -2, -1
Let d(q) be the first derivative of 2*q**5/5 + 4*q**4 + 44*q**3/3 + 24*q**2 + 18*q - 828. What is c in d(c) = 0?
-3, -1
Let d be 20 + (-13)/(2210/3196). Let x be (-29)/(-9) + (-8)/36. Determine c, given that -2/5*c**4 - 22/5*c + 12/5 + 6/5*c**2 + d*c**x = 0.
-2, 1, 3
Let o(p) be the second derivative of -1/21*p**4 - 1/147*p**7 - 4/105*p**6 + p + 0*p**3 + 100 + 0*p**2 - 1/14*p**5. Factor o(n).
-2*n**2*(n + 1)**2*(n + 2)/7
Let q be (-3)/7*(-70)/10. Suppose 0 = q*k - 4 - 2. Find y such that 18*y**5 + 8*y**3 - 17*y**5 - 4*y**4 + y - 4*y**2 - k*y**3 = 0.
0, 1
Let z = 183 - 181. Suppose -39 - 51 - 15*w + 220*w**z + 80 = 0. What is w?
-2/11, 1/4
Let z(g) be the first derivative of -g**6/90 + g**4/6 + 4*g**3/9 + g**2/2 - 190*g + 149. Let x(k) be the first derivative of z(k). Factor x(u).
-(u - 3)*(u + 1)**3/3
Let m(u) = -13*u**4 + 13*u**3 + 37*u**2 - 37*u + 10. Let o(q) = -7*q**4 + 7*q**3 + 19*q**2 - 19*q + 6. Let p(d) = -3*m(d) + 5*o(d). Factor p(a).
4*a*(a - 2)*(a - 1)*(a + 2)
Let a(l) be the first derivative of -l**6/720 - l**5/120 + l**4/6 + 22*l**3/3 - 3*l + 42. Let i(g) be the third derivative of a(g). Factor i(z).
-(z - 2)*(z + 4)/2
Let z(n) be the first derivative of -3*n**5/5 + 195*n**4/2 + 133*n**3 - 393*n**2 + 3850. Factor z(k).
-3*k*(k - 131)*(k - 1)*(k + 2)
Suppose -2/5*z**2 - 464648/5 + 1928/5*z = 0. What is z?
482
Suppose -x + 2*q = -38, 48 = -5*x + 5*q + 228. Let m = 36 - x. Determine t, given that t**3 + 2*t**2 + 3*t**3 + 5*t**4 - 100*t**5 + m*t**2 - 60*t**4 = 0.
-2/5, 0, 1/4
Let l(p) be the second derivative of -p**4/4 - 227*p**3/2 - 3352*p. Solve l(t) = 0.
-227, 0
Suppose 12/5*k - 1/5*k**4 - 4/5*k**3 - 9/5 + 2/5*k**2 = 0. What is k?
-3, 1
Let k(z) be the first derivative of 1/20*z**5 + 1/16*z**4 - 93 - 1/24*z**6 + 0*z**2 + 0*z - 1/12*z**3. Determine i so that k(i) = 0.
-1, 0, 1
Let i(u) be the first derivative of -u**6/15 + 4*u**5/25 + 3*u**4/10 - 8*u**3/15 - 4*u**2/5 + 985. Determine o so that i(o) = 0.
-1, 0, 2
Let y = 613366 - 5520292/9. Solve 28/9*h + 10/3 - y*h**2 = 0 for h.
-1, 15
Let h = 36967/61615 - -2/61615. Factor 1/5*r**2 + 2/5*r - h.
(r - 1)*(r + 3)/5
Let t = -2564 + 2568. Let s(u) be the second derivative of 1/15*u**6 + 0 + 5/16*u**5 + 19/24*u**t - 4*u + 7/6*u**3 + 1/168*u**7 + u**2. Factor s(y).
(y + 1)**2*(y + 2)**3/4
Let t = -28684 - -286843/10. Let l(g) be the second derivative of 3/5*g**5 + 28*g - t*g**6 + 3*g**3 + 13/4*g**4 + 0 + 0*g**2. Factor l(p).
-3*p*(p - 3)*(p + 1)*(3*p + 2)
What is y in -5