/5*h**4 - 2863288 + 826724/5*h.
4*(h - 10)*(h + 71)**3/5
Find y, given that 0 - 20/3*y + 5/3*y**3 + 4/9*y**2 - 1/9*y**4 = 0.
-2, 0, 2, 15
Let i(c) = -5*c**2 - 13*c - 14. Let g(q) = q + 16. Let f be g(-12). Let k(w) = 6*w - 15*w + 6*w - 1 + f*w - w**2. Let h(r) = i(r) - 2*k(r). Factor h(x).
-3*(x + 1)*(x + 4)
Let q(t) = -t**3 - 5*t**2 + 4*t. Let m be q(-5). Let d = m - -22. Determine k, given that 382*k**3 - 6*k + 5*k**d - 387*k**3 + 8*k + 8*k = 0.
-1, 0, 2
Let g(l) be the second derivative of l**4/12 + l**3 + 5*l**2/2 + 2*l + 3034. Let g(u) = 0. What is u?
-5, -1
Let t(g) be the third derivative of -g**5/240 - 1061*g**4/48 - 1125721*g**3/24 + g**2 + 364*g. Find r such that t(r) = 0.
-1061
Factor -45/4*v + 25/2 - 5/4*v**2.
-5*(v - 1)*(v + 10)/4
Let g(d) be the second derivative of -d**7/105 - 8*d**6/15 + 23*d**5/25 + 104*d**4/15 + 41*d**3/5 + 2*d + 4129. Let g(y) = 0. What is y?
-41, -1, 0, 3
Let j be (768/(-3648))/(((-1320)/114)/10). Factor 2450/11 + j*t**2 + 140/11*t.
2*(t + 35)**2/11
Let g = 694 - 676. Let l(t) = -t**3 - t**2 - 3*t. Let s(w) = -21*w**3 + 3*w**2. Let p(f) = g*l(f) - s(f). Factor p(y).
3*y*(y - 9)*(y + 2)
Let v = 267861 + -1071387/4. Let -v*o**2 + 15/8*o**3 + 21/4 + 57/8*o = 0. Calculate o.
-2/5, 1, 7
Suppose -3*j - 3 = -2*j + x, -3 = -4*j + x. Let s = -407/104 - -35/8. What is c in j + 4/13*c + s*c**2 + 2/13*c**3 = 0?
-2, -1, 0
Let d(k) be the third derivative of k**8/784 + 3*k**7/70 + 103*k**6/280 + 207*k**5/140 + 23*k**4/7 + 30*k**3/7 - k**2 - 175*k. Solve d(p) = 0.
-15, -2, -1
Let w(f) = -2*f - 5. Let q be w(-4). Suppose 48*a - 8*a**4 + 5*a**5 + 3*a**4 - 30*a**q + 10*a**2 - 8*a**2 - 8*a + 18*a**2 = 0. What is a?
-2, -1, 0, 2
Let r be -5*(-35)/(-75)*-3. Solve -h**4 - r*h**3 + 39*h + 16*h**3 - 3*h**2 + 6 - 2*h**4 - 48*h = 0.
-1, 1, 2
Let h(x) be the second derivative of -x**7/84 + x**6/5 - 6*x**5/5 + 41*x**4/12 - 21*x**3/4 + 9*x**2/2 + 152*x. Factor h(i).
-(i - 6)*(i - 3)*(i - 1)**3/2
Let y be 2/10 + (-38)/(-10). Suppose -9 = 2*c - 13. Factor 7*h**3 - 3 + y*h**3 + 4 + h - h**c - 12*h**3.
-(h - 1)*(h + 1)**2
Let 5/4*o**3 + o - 6*o**2 + 8 + 1/4*o**4 = 0. What is o?
-8, -1, 2
Let a(j) = -j**3 - 349*j**2 + 786*j + 29488. Let i be a(-351). What is t in 8/5*t - 12/5*t**3 - 2/5*t**i - 18/5*t**2 + 24/5 = 0?
-3, -2, 1
Let r(g) be the third derivative of 5/12*g**4 + 0 + 40*g**2 + 19/12*g**3 + 1/120*g**5 + 0*g. Solve r(f) = 0 for f.
-19, -1
Suppose 2/5*j**2 - 120 + 2*j = 0. Calculate j.
-20, 15
Let a(i) be the second derivative of i**7/168 + 11*i**6/40 + 269*i**5/80 + 619*i**4/48 + 93*i**3/4 + 22*i**2 - 59*i - 18. Factor a(l).
(l + 1)**3*(l + 8)*(l + 22)/4
Let q be ((-63)/(-14))/(9/12). Let u(w) = w**2 + 3*w - 1. Let x be u(2). Factor -q*v - 9*v**2 + x + 9*v + 5*v**3 - 8*v**3.
-3*(v - 1)*(v + 1)*(v + 3)
Let b(h) be the first derivative of -65 + 140/3*h**3 - 10*h**5 - 275/2*h**2 - 250*h + 55/2*h**4 + 5/6*h**6. Let b(i) = 0. Calculate i.
-1, 2, 5
Let g(x) = -6*x - 20. Let h be g(-4). Suppose 3*v - 30 = -3*j, 26 = -6*v + 8*v + h*j. Find k such that v - 36*k**4 - 28*k**4 + 4*k - 36*k**2 + 96*k**3 - 7 = 0.
0, 1/4, 1
Let m be (-54)/(-70) - (-512)/(-896). Let q(y) be the third derivative of -1/150*y**5 + 0 + 0*y - m*y**3 + 5*y**2 - 1/15*y**4. Factor q(a).
-2*(a + 1)*(a + 3)/5
Let b = -1347 + 1347. Let d(r) be the second derivative of 8*r + 1/5*r**5 + 8/3*r**3 + 4/3*r**4 + 0 + b*r**2. Determine y so that d(y) = 0.
-2, 0
Suppose 5*b - 280 = -3*k, 2*k = -2*k. Let d be (2 + 0)*84/b. Solve -2/17*t + 0 + 2/17*t**d - 2/17*t**4 + 2/17*t**2 = 0 for t.
-1, 0, 1
Let m(p) be the second derivative of 0*p**2 + 0 + 1/30*p**3 + 0*p**4 - 43*p + 4/75*p**6 - 1/70*p**7 - 3/50*p**5. Factor m(r).
-r*(r - 1)**3*(3*r + 1)/5
Let m(w) be the third derivative of w**6/40 - 21*w**5/4 - 54*w**4 - 218*w**3 - w**2 + w + 20. Solve m(g) = 0 for g.
-2, 109
Solve 2267*h**2 + 18*h**2 + 19*h**2 + 2496*h**3 + 173*h**4 + 47*h**4 + 4*h**5 - 24*h**4 = 0 for h.
-24, -1, 0
Let t(m) be the third derivative of m**5/300 - 383*m**4/60 + 51*m**3/2 - 3*m**2 + 239*m + 1. Solve t(i) = 0.
1, 765
Let o(j) be the third derivative of 1 + 12*j**2 - 2/15*j**5 + 1/588*j**8 + 2/735*j**7 - 1/35*j**6 - 11/42*j**4 - 2/7*j**3 + 0*j. Factor o(m).
4*(m - 3)*(m + 1)**4/7
Let y(d) be the second derivative of -d**6/270 - 8*d**5/45 + 17*d**4/18 + 17*d**3/6 + 42*d. Let v(o) be the second derivative of y(o). Factor v(q).
-4*(q - 1)*(q + 17)/3
Let a(i) = i**2 - 12*i + 19. Let j be a(8). Let z be 38/(-6) - (6 + j). Factor 0*u**2 - z*u**3 + 0 + 8/9*u**5 + 0*u + 2/9*u**4.
2*u**3*(u + 1)*(4*u - 3)/9
Let w(a) be the third derivative of a**5/45 - 28*a**4/3 - 114*a**3 - 8*a**2 - 2*a + 11. Find s, given that w(s) = 0.
-3, 171
Suppose 4*o + 5*y = -3, -15*o + 10*y = -19*o - 18. Let d(m) be the first derivative of -m**2 + 8/21*m**o - 4/7*m + 27. Find z, given that d(z) = 0.
-1/4, 2
Let h(j) = -j**3 - 5*j + 1. Let g(a) = -a**3 + 7*a**2 + 108*a + 104. Let t(c) = -5*g(c) - 20*h(c). Determine z so that t(z) = 0.
-2, 27/5
Suppose 82 = -15*o + 264 - 81 - 71. Factor 12/17*w + 2/17*w**o - 32/17.
2*(w - 2)*(w + 8)/17
Let i(l) = -4*l**2 - 17*l + 6. Let z be i(-13). Let k = z + 451. What is n in 12/5 + 0*n - 3/5*n**k = 0?
-2, 2
Let a(z) = 2*z**4 + z**3 + z**2. Suppose 14*m + 8 - 22 = 0. Let c(o) = -25*o**5 - 20*o**4 - 25*o**3 + 10*o**2. Let b(l) = m*c(l) - 20*a(l). Solve b(f) = 0.
-1, -2/5, 0
Let q(g) = -7*g**2 - 224*g + 1297. Let n be q(-37). Factor -4/3*l**3 + 11/3*l**n - 2*l - 1/3*l**4 + 0.
-l*(l - 1)**2*(l + 6)/3
Let l(x) = 5*x**4 - 27*x**3 + 67*x**2 + 24*x - 75. Let k(q) = q**4 - q**3 - q**2 - 1. Suppose 7*d - 22 + 1 = 0. Let g(a) = d*k(a) - l(a). Factor g(i).
-2*(i - 6)**2*(i - 1)*(i + 1)
Let a(d) be the third derivative of 0 + 1/20*d**4 - 3/350*d**7 + 0*d + 19/300*d**6 + 0*d**3 - 37*d**2 - 7/60*d**5. Factor a(t).
-t*(t - 3)*(t - 1)*(9*t - 2)/5
Suppose -484*j**4 + 277*j**4 - 115*j**3 - 580*j**2 + 202*j**4 + 700*j = 0. Calculate j.
-14, -10, 0, 1
Let x(i) = -5*i**3 - 27*i**2 - 92*i + 4. Let r(o) = -14*o**3 - 82*o**2 - 274*o + 11. Let u(t) = 8*r(t) - 22*x(t). Factor u(z).
-2*z*(z + 3)*(z + 28)
Let d(s) be the second derivative of 0 - 5/16*s**4 + 3/40*s**5 - 35*s + 0*s**2 + 1/4*s**3. Factor d(h).
3*h*(h - 2)*(2*h - 1)/4
Let f(x) = x**2 - 4*x + 5. Let v be f(3). Let m = -1/3317 - -13273/16585. Factor -m - 4/5*d**v - 8/5*d.
-4*(d + 1)**2/5
Suppose i = 2*c - 32, 4*c - 48 = c + i. Suppose -256 = -c*a - 80. Factor -a + 96*t - 129 - 4*t**3 + 28 - 12*t**2.
-4*(t - 2)**2*(t + 7)
Suppose -k = 2*k - 9. Determine x so that -264*x**2 + 192*x**k + 8728*x**4 - 8443*x**4 - 240*x + 75*x**5 - 72 + 24 = 0.
-2, -2/5, 1
Solve -1/3*l**2 + 49/3 - 196/3*l + 4/3*l**3 = 0.
-7, 1/4, 7
Let q(b) be the second derivative of -3*b**5/140 - 34*b**4/7 - 2312*b**3/7 - 2*b + 304. Find s such that q(s) = 0.
-68, 0
Let n(g) = 33*g**2 - 5406*g - 491367. Let a(l) = -7*l**2 + 1081*l + 98273. Let s(q) = -24*a(q) - 5*n(q). Determine k so that s(k) = 0.
-181
Suppose 21*w - 48 - 47 = 10. Let i(l) be the first derivative of 22 - 1/2*l**5 - 25/8*l**4 - 35/4*l**2 - 15/2*l**3 - w*l. Factor i(r).
-5*(r + 1)**3*(r + 2)/2
Let g(f) be the first derivative of -27/7*f**2 + 0*f + 9/7*f**3 - 68 - 3/28*f**4. Determine i so that g(i) = 0.
0, 3, 6
Let j = -35 + 40. What is g in -300*g**5 + 153*g**5 + 143*g**j = 0?
0
Let g(x) = 2*x**3 + 96*x**2 - 3723*x - 3844. Let b(z) = 3*z**3 + 201*z**2 - 7445*z - 7688. Let c(q) = -3*b(q) + 5*g(q). Suppose c(h) = 0. What is h?
-1, 62
Let n be (-1288)/5280 + 2/8. Let z(j) be the second derivative of 0 + 11*j - 4/33*j**3 - n*j**6 + 0*j**4 + 3/110*j**5 + 0*j**2. Factor z(u).
-2*u*(u - 2)**2*(u + 1)/11
Let 44*b**2 - 119*b**2 - 990*b + 72*b**2 = 0. What is b?
-330, 0
Let p be (1 - 9/24)/(-3 - (-25)/8). Find d, given that 0 - 33/7*d**3 + 0*d - 18/7*d**2 - 3/7*d**p - 18/7*d**4 = 0.
-3, -2, -1, 0
Let j(h) be the third derivative of -37/960*h**6 - 11/6*h**4 - 2*h + 0 - 8/3*h**3 - 7/16*h**5 - 1/840*h**7 + 7*h**2. What is o in j(o) = 0?
-8, -2, -1/2
Let b(z) = -5*z**3 + 135*z**2 + 4899*z - 5041. Let o(q) = 14*q**3 - 406*q**2 - 14697*q + 15123. Let h(i) = -17*b(i) - 6*o(i). Factor h(f).
(f - 1)*(f + 71)**2
Let q be 7/((-56)/(-32))*31. Let -112*m + 525*m**3 - 16*m**4 - q*m**4 + 44*m**5 - 457*m**3 + 16 + 124*m**2 = 0. Calculate m.
-1, 2/11, 1, 2
Let v(y) be the th