 g = -21 + m. Factor -5*i**2 - 20*i + g - 62 + 22 + 20*i**3 + 23.
5*(i - 1)*(i + 1)*(4*i - 1)
Let g(l) be the second derivative of l**6/180 + 55*l**5/3 + 75625*l**4/3 + 166375000*l**3/9 + 22876562500*l**2/3 - 998*l. Factor g(w).
(w + 550)**4/6
Let b be (-6762)/(-801) + (-29)/((-145)/(-30)). Let v = b - -20/89. Let 16/3 - 1/3*i**3 + v*i**2 - 20/3*i = 0. Calculate i.
2, 4
Let h(w) be the third derivative of -w**8/224 + 2*w**7/35 + w**6/5 - 31*w**5/20 - 15*w**4/16 + 27*w**3/2 - 2731*w**2. Find p, given that h(p) = 0.
-3, -1, 1, 2, 9
Factor 2052*a**3 - 2049*a**3 - 2599*a**2 + 1168*a**2.
3*a**2*(a - 477)
Factor 74/7*k - 38/7 - 2/7*k**3 - 34/7*k**2.
-2*(k - 1)**2*(k + 19)/7
Let t be 40/(-45) + ((-760)/36 - -22). Solve 1/4*k**2 + t - 5/4*k = 0.
0, 5
Find f, given that -35*f**5 - 156*f + 32*f**5 - 66*f**2 + 0*f**3 - 45*f + 204*f**3 - 198*f**4 + 264*f**2 = 0.
-67, -1, 0, 1
Let a(l) be the second derivative of -3*l**5/20 + 5*l**4/4 - 3*l**3 + 714*l. Factor a(r).
-3*r*(r - 3)*(r - 2)
Let j(i) be the third derivative of i**7/42 - 61*i**6/8 - i**5/12 + 305*i**4/8 + 1971*i**2 + 1. Solve j(c) = 0 for c.
-1, 0, 1, 183
Let b be 6/(-16) - (-12363)/(-312). Let n(g) = g**3 + 41*g**2 + 41*g + 40. Let p be n(b). Solve 23/9*j**2 + 5/9*j**4 + p + 2/3*j + 22/9*j**3 = 0 for j.
-3, -1, -2/5, 0
Suppose u - 4 = -4*o, 0 = 5*o - 0*o + 3*u + 2. Suppose -4132*d + 4143*d - 66 = 0. Factor 19*i - 12 + 12*i**o - 6 - d + 9*i.
4*(i + 3)*(3*i - 2)
Suppose 0*u - 10*u = -30. Factor 128 - 56*d**3 - 64*d**3 - 24*d**2 + 173*d**3 - 57*d**u.
-4*(d - 2)*(d + 4)**2
Let f(p) be the third derivative of p**8/84 - 78*p**7/7 + 19109*p**6/5 - 7640108*p**5/15 + 3650692*p**4 + 3*p**2 - 3*p - 317. Factor f(x).
4*x*(x - 194)**3*(x - 3)
Factor -10*h**3 - 307*h + 12*h**3 - 42*h**2 - 10*h - 486 + 587*h.
2*(h - 9)**2*(h - 3)
Let b = -1952 - -1942. Let p be ((-1)/b)/(87/522). Let -3/5*m**4 + 0*m + 0 + 1/5*m**5 - 1/5*m**3 + p*m**2 = 0. Calculate m.
-1, 0, 1, 3
Suppose 0 = 4*a + 2*t, 3 + 4 = 5*a - t. Let k be 4/4 + 12 - a. Suppose -3*j**4 + 9*j - 16*j - 39*j**2 - k + 43*j + 18*j**3 = 0. Calculate j.
1, 2
Let i(d) be the third derivative of -d**8/1512 - d**7/189 + 43*d**6/540 - 67*d**5/270 + 5*d**4/18 + 540*d**2 + 1. Solve i(v) = 0 for v.
-10, 0, 1, 3
Let j(w) be the second derivative of w**6/210 - 15*w**5/14 + 5773*w**4/84 - 1850*w**3/7 + 2738*w**2/7 - 4159*w. Determine m so that j(m) = 0.
1, 74
Let n be ((-2592)/540)/(84/(-160)*(-1 + 5)). Let -1/7*h**5 - 8/7*h**3 - h**4 + 0 + 0*h + n*h**2 = 0. Calculate h.
-4, 0, 1
Let w(o) be the second derivative of 3 + 1/45*o**6 + 121/6*o**4 + 0*o**2 + 6*o - 11/10*o**5 - 1331/9*o**3. Factor w(p).
2*p*(p - 11)**3/3
Let g(d) be the second derivative of 2 - 7/24*d**4 + 1/80*d**5 + 170*d - 1/24*d**3 + 7/4*d**2. Factor g(x).
(x - 14)*(x - 1)*(x + 1)/4
Let i(p) = -p - 2. Let l(v) = 5*v**2 + 2496*v + 310017. Let w(d) = -6*i(d) - l(d). Solve w(g) = 0.
-249
Let h(b) = -6*b**3 + 3*b**2 - 6*b**2 + 18 + 44*b - 3*b**2 - 44*b**2. Let s(g) = -6*g**3 - 50*g**2 + 45*g + 18. Let n(m) = -7*h(m) + 6*s(m). Solve n(c) = 0.
-9, -1/3, 1
Factor 4292430*v - 13004410*v - 6610*v**3 - 492878*v**2 - 1704907*v**2 - 5*v**4 - 8685620.
-5*(v + 2)**2*(v + 659)**2
Let y(c) be the first derivative of -c**4/5 + 52*c**3/15 - 96*c**2/5 + 144*c/5 + 8636. Solve y(j) = 0 for j.
1, 6
Suppose -130 = -126*a + 61*a. Find f, given that -150/11*f**a - 20/11 + 74/11*f**3 + 102/11*f - 6/11*f**4 = 0.
1/3, 1, 10
Suppose 308 + 364 = -24*l. Let r be (-40)/6*l/84. Find i such that 0*i**2 - 2/3*i**4 + r*i - 20/9*i**3 + 2/3 = 0.
-3, -1, -1/3, 1
Let v(s) = s**3 - 20*s**2 - 98*s - 130. Let m(o) = -4*o**3 + 61*o**2 + 295*o + 391. Let y = 77 - 56. Let n(p) = y*v(p) + 6*m(p). Factor n(f).
-3*(f + 2)*(f + 8)**2
Determine q, given that 84*q**2 + 85*q - 85*q**3 - 169/2 + 1/2*q**4 = 0.
-1, 1, 169
Let k be 616/2*2467/155421. Suppose 4/9 + 8/9*h**4 + 10/9*h - k*h**2 - 10/9*h**5 + 32/9*h**3 = 0. What is h?
-2, -1/5, 1
Suppose -2*p + 5*k + 26 = 12, -5*k = 5*p. Determine o, given that -137*o**p - 138*o**2 + 265*o**2 + 5*o**3 = 0.
0, 2
Let x(v) be the third derivative of -2*v**7/525 + 18*v**6/25 - 106*v**5/75 - 18*v**4/5 + 214*v**3/15 + 1651*v**2. Determine m so that x(m) = 0.
-1, 1, 107
Let l(f) be the first derivative of f**5/4 - 3*f**4/8 - f**3 - 2*f**2 - 27. Let q(k) be the second derivative of l(k). Solve q(b) = 0.
-2/5, 1
Let n be ((-2)/(-10))/(1/3033). Let o = n - 600. Let -37/5*z**2 - 2/5*z**4 - 3*z**3 - 9/5 - o*z = 0. What is z?
-3, -1, -1/2
Let y be -12*(-6)/(18 + -6) - 26/6. Let r(j) be the first derivative of 0*j**2 + 0*j - 11 + y*j**3 + 5/4*j**4. Determine g, given that r(g) = 0.
-1, 0
Let r(y) be the first derivative of -9 + 35/6*y**3 - 7*y + 1/4*y**5 + 25/12*y**4 + 15/2*y**2. Let p(c) be the first derivative of r(c). What is s in p(s) = 0?
-3, -1
Let t = -612 + 641. Factor -13*j + 46*j**4 + t*j - 54*j**4 + 16*j**2 - 12*j**3 + 4*j**5.
4*j*(j - 2)**2*(j + 1)**2
Let d = 12 + -6. Let q = -218/3 - -92. Factor -34/3*t + d - q*t**2 - 2*t**3.
-2*(t + 1)*(t + 9)*(3*t - 1)/3
Let y = 510203 - 2550819/5. Suppose 1568/5 + 11312/5*p + 21368/5*p**2 - 448*p**4 + 2788/5*p**3 + y*p**5 = 0. Calculate p.
-2, -2/7, 7
Let m(b) be the first derivative of 2*b**3 + b**2 - 1/2*b**4 - 6*b - 51. Suppose m(z) = 0. Calculate z.
-1, 1, 3
Let m(c) be the first derivative of -15*c + 10*c**2 + 35/3*c**3 + 45. Let m(j) = 0. What is j?
-1, 3/7
Let z = 292 + -277. Factor -4 + 32*h**3 - 37*h**3 + 4 + z*h + 10*h**2.
-5*h*(h - 3)*(h + 1)
Let s(x) = -37*x - 38. Let v be s(-4). Determine f so that 5*f - 6*f**4 - 4*f**3 - v*f**2 - 109*f**2 + 225*f**2 - f**5 = 0.
-5, -1, 0, 1
Let f(m) be the first derivative of m**5/12 - 5*m**4/4 - 7*m**2/2 - 2*m - 24. Let q(d) be the second derivative of f(d). Factor q(h).
5*h*(h - 6)
Let n(k) be the third derivative of 0 + 0*k**3 + 52*k**2 + 1/112*k**8 + 0*k**4 + 0*k - 1/10*k**7 + 0*k**5 + 1/4*k**6. Let n(w) = 0. What is w?
0, 2, 5
Let h be ((-5)/(105/56) + 0)/(-2). Find z such that 0*z + 2/9*z**3 - h*z**2 + 0 = 0.
0, 6
Let m(g) be the third derivative of 1/756*g**8 + 4/135*g**5 - 4*g**2 + 8/945*g**7 + 1/45*g**6 + 0*g + 0 + 0*g**3 + 1/54*g**4. Find w such that m(w) = 0.
-1, 0
Find o, given that -1/2*o**2 + 3/2*o - 3/2*o**3 + 0 + 1/2*o**4 = 0.
-1, 0, 1, 3
Factor 1/4*i**3 + 7/4*i - 2*i**2 + 0.
i*(i - 7)*(i - 1)/4
Let h(s) be the third derivative of s**5/360 + 55*s**4/9 + 48400*s**3/9 + 26*s**2 + 27. Factor h(k).
(k + 440)**2/6
Solve 2/9*p**3 - 10/3*p**2 - 104/9*p - 8 = 0 for p.
-2, -1, 18
Solve 7*g**3 + 13*g**3 - 6*g**2 + 4*g - 34*g**3 + 10*g**3 + 0*g**2 = 0 for g.
-2, 0, 1/2
Let w = -4/212435 - -84978/212435. Factor 968/5 + w*t**2 + 88/5*t.
2*(t + 22)**2/5
Let d(i) be the first derivative of i**6/24 + 11*i**5/4 + 667*i**4/16 - 841*i**3/4 - 1105. Solve d(c) = 0.
-29, 0, 3
Let j(y) be the first derivative of -10*y**3/3 + 365*y**2/2 - 180*y + 6112. Determine n, given that j(n) = 0.
1/2, 36
Factor -17*n**2 - 20*n**2 + 153*n - n**4 + 65*n - 218*n**3 + 63*n**2 - 25*n**2.
-n*(n - 1)*(n + 1)*(n + 218)
Let t(p) = -10*p**4 - 100*p**3 + 152*p**2 - 42*p + 4. Let r(w) = 20*w**4 + 202*w**3 - 305*w**2 + 83*w - 10. Let f(m) = -2*r(m) - 5*t(m). Factor f(d).
2*d*(d - 1)*(d + 11)*(5*d - 2)
Let m(o) be the second derivative of o**4/6 + 968*o**3/3 + 234256*o**2 + 1241*o. Factor m(i).
2*(i + 484)**2
Let r(m) = 2*m**2 + 8600*m - 9262210. Let n(u) = 2*u**2 - 4*u - 1. Let y(f) = -2*n(f) + r(f). Factor y(i).
-2*(i - 2152)**2
Let v be (43/215*20/14)/((-20)/(-21)). Let g(z) be the first derivative of 1/15*z**3 + 0*z - v*z**2 - 26. Factor g(q).
q*(q - 3)/5
Let f(s) be the second derivative of 10/3*s**2 + 182*s + 0 - 7/9*s**3 + 1/18*s**4. Determine z so that f(z) = 0.
2, 5
Let s(j) be the first derivative of j**4/4 + 41*j**3/3 + 187*j**2 - 416*j - 9956. Let s(f) = 0. Calculate f.
-26, -16, 1
Let r(z) be the second derivative of -z**6/30 + z**5/30 - 14*z**3/3 - z**2 + 77*z. Let n(s) be the second derivative of r(s). Factor n(q).
-4*q*(3*q - 1)
Let v(c) = -33*c. Let i(m) = m**2 + 804*m + 2106. Let o(k) = -2*i(k) - 6*v(k). What is d in o(d) = 0?
-702, -3
Let g(m) be the second derivative of m**7/56 - 3*m**5/10 - 3*m**4/8 + 7*m**3/8 + 9*m**2/4 - 7*m. Suppose g(h) = 0. Calculate h.
-2, -1, 1, 3
Let o(p) be the third derivative of p**9/272160 - p**8/22680 + 19*p**5/1