- 1/10*g**5 + 1/5 - 3/10*g.
-(g - 1)**3*(g + 1)*(g + 2)/10
Let z be 289932/18 + 32/12. Determine k, given that 4*k + z - 16110 - k**4 - 3*k**3 = 0.
-2, 0, 1
Let s(q) be the first derivative of 0*q + 38 - 1/30*q**5 - q**4 - 3*q**3 + 1/90*q**6 + 0*q**2. Let g(m) be the third derivative of s(m). Factor g(u).
4*(u - 3)*(u + 2)
Let v(x) = -x**4 - 2*x**3 - 41*x**2 - 12*x + 52. Let j(w) = -2*w**3 - w**2 - w + 1. Let f(g) = -40*j(g) + 5*v(g). Determine l so that f(l) = 0.
-1, 2, 11
Suppose -5*r = -k + 3, -4*k - r = -6 - 6. Suppose j - 4*t + 6 = 3*j, 0 = -k*j + 2*t + 17. Factor -4*c**2 + 9*c - j*c + 2*c**3 + 2*c - 4*c.
2*c*(c - 1)**2
Let o = 283015/9 - 31445. Factor -o + 2/9*k**3 + 10/9*k**2 - 2/9*k.
2*(k - 1)*(k + 1)*(k + 5)/9
Let i(d) be the third derivative of d**6/60 - 47*d**5/3 - 943*d**4/12 - 472*d**3/3 + 4*d**2 - d + 668. Factor i(l).
2*(l - 472)*(l + 1)**2
Let x be (5 + -1 + -4)/(4 + 2 + -4). Let a(l) be the second derivative of -22*l + 0*l**2 + 0 + 1/16*l**3 + x*l**4 - 3/160*l**5. Determine i so that a(i) = 0.
-1, 0, 1
Factor 2*u**3 - 2 - 452*u**2 + 2 + 1012*u**2 - 516*u**2.
2*u**2*(u + 22)
Let o(d) be the second derivative of 5*d**5/24 + 545*d**4/18 - 439*d**3/9 + 88*d**2/3 + 431*d - 1. Factor o(s).
(s + 88)*(5*s - 2)**2/6
Let n be (1 - -1)*668/(-24). Let v = 61 + n. Factor 20/3*j**3 - 16/3 + 52/3*j**2 + v*j.
4*(j + 1)*(j + 2)*(5*j - 2)/3
Let r(q) be the second derivative of -1/90*q**6 + 1/36*q**4 + 0*q**3 - 1/120*q**5 + 1/252*q**7 + 0*q**2 + 23 - q. Factor r(y).
y**2*(y - 2)*(y - 1)*(y + 1)/6
Suppose 4*n - 26 = -6. Suppose 5*y - n*b + b + 6 = 0, 2*y = b. Find i, given that -325*i - 130 + 5 - 15*i**3 + 23*i**y + 122*i**2 = 0.
-1/3, 5
Let j be (-7 - -2)*5*543/75. Let g = j - -183. Factor 0 + 0*y**3 + 0*y**g - 2/15*y**5 + 0*y + 2/15*y**4.
-2*y**4*(y - 1)/15
Let k(n) be the first derivative of 2*n**5/7 - 128*n**4/7 + 2284*n**3/7 - 3800*n**2/7 + 1250*n/7 + 427. Find h such that k(h) = 0.
1/5, 1, 25
Let c(z) = -4*z + 5. Let m be c(3). Let j(f) = -15*f**3 - f**2 + 10*f - 1. Let q be j(m). Factor q - 4*n**2 - 5025 + 4*n**4.
4*n**2*(n - 1)*(n + 1)
Let k be ((-17034)/1309 - -13)*-33. Factor -k*a**2 - 9/7 + 12/7*a.
-3*(a - 3)*(a - 1)/7
Let a(b) = 2 + 22*b - 33*b + b**2 + 35*b. Let t(y) = -4*y**2 - 120*y - 11. Let u(r) = -11*a(r) - 2*t(r). Determine j, given that u(j) = 0.
-8, 0
Let r be (12 + -11 - 5) + 10. Let f(l) be the first derivative of 0*l**3 - 3 - 9/2*l**2 + r*l + 3/4*l**4. Suppose f(c) = 0. Calculate c.
-2, 1
What is s in -111/5*s**2 - 3/5*s**3 - 213/5*s - 21 = 0?
-35, -1
Let t(r) be the first derivative of 3*r**4/16 + 33*r**3/2 - 207*r**2/8 - 201*r/2 + 3217. Suppose t(n) = 0. What is n?
-67, -1, 2
Let d be 121440/(-437) + 4/(-38). Let u = -5280/19 - d. Find p, given that u*p**4 + 6/19*p - 6/19*p**3 - 2/19*p**2 + 0 = 0.
-1, 0, 1, 3
Suppose -3*v = m - 14, -4*m + 20 = -0. Suppose -3*x + 18 = -0*n - v*n, -5*n = -4*x + 28. Solve 1/6 + 0*d + 1/6*d**4 + 0*d**3 - 1/3*d**x = 0 for d.
-1, 1
Let y be 30 - (-5 - 4*(-6)/8). Let d = y - 29. Find r such that 0*r**2 - 9/7*r + 3/7*r**d + 6/7 = 0.
-2, 1
Let h(l) = -l**3 - 5*l**2 + 13*l + 64. Let g be h(-6). Let -41*d + 184*d + 24*d**2 + g*d - 44 - 26 + d**2 = 0. What is d?
-7, 2/5
Let p(s) be the first derivative of -s**3/4 + 33*s**2 + 135*s + 493. Factor p(b).
-3*(b - 90)*(b + 2)/4
Suppose 97556000/3 - 167910*z**2 - 1/6*z**4 - 97051400/3*z - 1739/6*z**3 = 0. Calculate z.
-580, 1
Let s(k) be the third derivative of -k**6/120 - 2*k**5/5 - 15*k**4/8 + 63*k**3 + 64*k**2 + k + 10. Factor s(y).
-(y - 3)*(y + 6)*(y + 21)
Solve -21707 - 1351*v**2 + 5*v**3 + 46075*v + 396*v**2 - 23418 = 0.
1, 95
Let j = -16 - -18. Factor 10*f**5 - 3*f**3 + f**j + 12*f**5 - 21*f**5 - 3*f**2.
f**2*(f - 2)*(f + 1)**2
Let l(c) = c - 13. Let o be l(14). Suppose -5*d - o + 21 = 0. Factor 2*h**d + 2*h**3 - 6*h**2 - 2*h - 19 + 36 - 13.
2*(h - 1)**2*(h + 1)*(h + 2)
Factor -90 + 49*g - 35*g**2 + 7*g + 90 + 140*g + g**3.
g*(g - 28)*(g - 7)
Let b(y) = -1263*y + 30316. Let g be b(24). Find u such that 0 + 17/4*u**3 + 3/2*u + 7/4*u**g + 1/4*u**5 + 17/4*u**2 = 0.
-3, -2, -1, 0
Suppose 90 - 874 - 126*d - 3*d**2 + 49 = 0. What is d?
-35, -7
Let r(s) be the second derivative of 20 - 1/14*s**4 + 1/21*s**3 + s - 1/70*s**5 + 1/105*s**6 + 2/7*s**2. Factor r(d).
2*(d - 2)*(d - 1)*(d + 1)**2/7
Find d such that 215296 + 1/4*d**2 - 464*d = 0.
928
Determine b so that -865*b**2 + 23961*b**3 - 47943*b**3 + 665*b + 220 + 23962*b**3 = 0.
-44, -1/4, 1
Let w be 111/(-1) - 11/(-19 - -8). Let q be ((w/40)/11)/((-1)/18). Suppose -3/2*m**2 + q - 3*m = 0. What is m?
-3, 1
Suppose 146*x + 47*x - 1229*x + 3176 = 552*x. Factor -18/5*n - 28/5 - 2/5*n**x.
-2*(n + 2)*(n + 7)/5
Let a(u) = u**2 - 1. Let y(l) = 7*l**2 - 35*l - 4. Let f(p) = -6*a(p) + y(p). Let w be f(35). Let w*j**2 + 2/3*j**3 + 0*j + 0 = 0. Calculate j.
-3, 0
Let p(t) be the third derivative of t**5/210 - 375*t**4/14 + 421875*t**3/7 - 3100*t**2. Factor p(n).
2*(n - 1125)**2/7
Let u be ((-5)/(-10) + 4)/(1/12). Factor u*a**3 + 3*a**2 - 54*a + 4*a**4 + 11 - 11 - 7*a**4.
-3*a*(a - 18)*(a - 1)*(a + 1)
Let t(j) be the first derivative of j**4/8 + 9*j**3/2 + 135*j**2/4 - 675*j/2 + 5437. Find w, given that t(w) = 0.
-15, 3
Suppose 32*r - 966 = 11*r. Determine u so that -180*u**3 + 37*u**2 + 144*u + 22*u**2 - 100*u**4 + 32 - 2*u**2 + u**2 + r*u**2 = 0.
-2, -2/5, 1
Factor -22472/7 - 6360/7*k - 450/7*k**2.
-2*(15*k + 106)**2/7
Factor 0 + 96*x**2 + 3/5*x**5 - 336/5*x + 24/5*x**4 - 216/5*x**3.
3*x*(x - 2)**3*(x + 14)/5
Find g, given that 2015*g**5 + 108*g**3 - 30*g**4 - 1016*g**5 - 1001*g**5 = 0.
-18, 0, 3
Suppose 7*r = 8*r + 28. Let g be -2*((-1)/4 + 21/r). Factor -q**3 + 2*q - 2 - 9*q + 8*q + 2*q**g.
-(q - 2)*(q - 1)*(q + 1)
Let s(y) = -y**3 + 30*y**2 + 64*y. Let k be s(-2). Let v(i) = i**2 + 5*i. Let b be v(-7). Solve 2*z**2 + k*z**3 - z**3 + 5*z**3 - b*z**2 + 8*z = 0 for z.
0, 1, 2
Let u(p) be the first derivative of -p**5/5 - 3*p**4/2 - 3*p**3 + 2*p**2 + 12*p - 5881. Let u(l) = 0. Calculate l.
-3, -2, 1
Let b(z) be the second derivative of z**6/1260 + z**5/28 - 4*z**4/21 + 22*z**3/3 + 5*z - 1. Let k(m) be the second derivative of b(m). Factor k(l).
2*(l - 1)*(l + 16)/7
Find v, given that 73913*v**2 - 36957*v**2 - 1664*v + 173056 - 36952*v**2 = 0.
208
Let i be (-4)/34 - 2784/(-544). Suppose 5*d = -2*x + i - 1, 0 = -6*d + 5*x + 27. Find k such that 15/2*k**4 + 3*k**3 + 0 - 3*k - 15/2*k**d = 0.
-1, -2/5, 0, 1
Find l, given that -472337 + 36*l**4 + 381*l + 48*l**3 + l**5 + 170*l**3 + 472453 + 448*l**2 = 0.
-29, -4, -1
Let w(t) be the second derivative of -88*t + 0 + 1/5*t**5 - 7/3*t**4 + 4*t**3 + 0*t**2. Factor w(c).
4*c*(c - 6)*(c - 1)
Let x(y) = -20*y**3 - 124*y**2 + 3844*y + 12678. Let d(h) = -87*h**3 - 495*h**2 + 15379*h + 50713. Let f(n) = -3*d(n) + 13*x(n). Factor f(r).
(r - 65)**2*(r + 3)
Let a(s) = 16*s**3 + 144*s**2 - 84*s - 28. Let b(f) = 3*f**3 + 26*f**2 - 15*f - 5. Let i(r) = -5*a(r) + 28*b(r). Solve i(v) = 0 for v.
-2, 0
Let x(j) be the first derivative of 6*j**5/65 + 149*j**4/26 - 410*j**3/39 - 49*j**2/13 + 204*j/13 + 9905. What is m in x(m) = 0?
-51, -2/3, 1
Let n(c) be the second derivative of c**5 - 5/6*c**4 + 1/6*c**6 + 6*c + 4 + 45/2*c**2 - 10*c**3. Factor n(j).
5*(j - 1)**2*(j + 3)**2
Let r(h) = 3 - 4 - h**2 - 3 + 27*h - 34*h. Let x be r(-6). Suppose 2/5*i**x + 0 + 3/5*i**3 + 1/5*i**4 + 0*i = 0. Calculate i.
-2, -1, 0
Let h(x) be the third derivative of 87*x**2 + 0*x + 1/2*x**3 + 23/240*x**5 - 1/60*x**6 - 7/24*x**4 + 1/840*x**7 + 0. Factor h(j).
(j - 3)*(j - 2)**2*(j - 1)/4
Let g be -2*9/(-2) + 58/232*-35. Factor 9/2 - 3/4*r - g*r**2.
-(r - 3)*(r + 6)/4
Let c be (-622)/4*(-2)/15*-3. Let z = c - -2192/35. Factor 0 + 18/7*m + z*m**3 + 3*m**2.
3*m*(m + 1)*(m + 6)/7
Solve -42*c - 3*c**5 - 320*c**4 - 2*c**2 + 339 + 723*c - 25*c**4 + 8*c**2 + 0*c**2 - 678*c**3 = 0 for c.
-113, -1, 1
Suppose -61*j + 22*j = -6*j - 99. Factor -2/15*l**j - 4/15*l**2 - 16/5 + 8/3*l.
-2*(l - 2)**2*(l + 6)/15
Let w(y) = 2*y**3 + 37*y**2 - 32*y. Let o be w(-19). Let a = 247 - o. Factor a + 1/10*v - 1/10*v**2.
-v*(v - 1)/10
Let b be 36 + (-13543)/377 + 1/(-13). Let p(w) be the second derivative of -37*w - 2*w**2 + 13/12*w**4 + b + 13/6*w**3 - 1/5*w**5. What is r in p(r) = 0?
-1, 1/4, 4
Let q = -14533 + 14536. Let w(f) be the first 