5*w**3 + 50/3 + 95*w + 280/3*w**b.
5*(w + 1)*(w + 5)*(9*w + 2)/3
Let u be 14*(5 + (-2656)/560). Find c such that -9/5 + u*c**2 - 9/5*c**4 - 6/5*c**3 + 3/5*c**5 + 3/5*c = 0.
-1, 1, 3
Let l(j) = 6*j**2 + 2870*j - 4. Let a(c) = -14*c**2 - 5745*c + 9. Let i(g) = 4*a(g) + 9*l(g). Factor i(s).
-2*s*(s - 1425)
Let v be (2/(-240))/((-9)/(-10)*(-26)/39). Let o(i) be the third derivative of 0*i + 1/180*i**5 - 1/18*i**3 + 0 - 11*i**2 - v*i**6 + 5/72*i**4. Factor o(a).
-(a - 1)*(a + 1)*(5*a - 1)/3
Let c(d) = -27*d + 6. Let k be c(-16). Let u = -436 + k. Find s, given that 40/11*s**u - 2/11*s**5 + 12/11*s**3 - 4/11*s**4 + 12/11 + 38/11*s = 0.
-2, -1, 3
Let n = -8488 - -1018567/120. Let f(d) be the third derivative of 0 - 22*d**2 - 3/16*d**4 + 0*d + 1/6*d**3 + n*d**5. Factor f(q).
(q - 1)*(7*q - 2)/2
Let t(u) be the first derivative of -u**9/756 - u**8/60 - u**7/14 - u**6/10 - 25*u**3 + 9. Let i(c) be the third derivative of t(c). Find h such that i(h) = 0.
-3, -1, 0
Let x(d) be the second derivative of d**6/10 - 9*d**5/20 - d**4/2 + 6*d**3 - 12*d**2 + 712*d. Factor x(s).
3*(s - 2)**2*(s - 1)*(s + 2)
Let k(w) = -w + 4. Let l be k(-8). Solve 8 + l*d + 14*d**2 + 14*d**2 - 24*d**2 = 0 for d.
-2, -1
Let a(o) be the first derivative of o**4/48 - o**3/3 + 15*o**2/8 + 109*o - 46. Let s(b) be the first derivative of a(b). Let s(w) = 0. Calculate w.
3, 5
Let x be (81/540)/(10 - 1/(2/8)). Let w(l) be the second derivative of 1/8*l**4 + 0 + 1/8*l**3 + 1/56*l**7 + 22*l - 3/8*l**2 - 3/40*l**5 - x*l**6. Factor w(h).
3*(h - 1)**3*(h + 1)**2/4
Suppose 0 = -3*y - 3*u + 18, -16*y + 18*y + 8 = 3*u. What is m in 14*m**4 + 23*m**4 - m**5 - m**y - 36*m**4 + m**3 = 0?
-1, 0, 1
Let z be (-7)/9*-9 - ((-4)/(-2) + 3). Factor -1/8*v - 1/8*v**z + 1/4.
-(v - 1)*(v + 2)/8
Let n(r) be the third derivative of -r**8/588 + 16*r**7/735 + 11*r**6/210 - 106*r**5/105 + 76*r**4/21 - 128*r**3/21 + 35*r**2. Find p, given that n(p) = 0.
-4, 1, 2, 8
Let w(m) = 4*m**2 - 34*m + 30. Let z(b) = -59*b - 12*b + 13*b**2 - 66*b + 34*b + 90. Let j(c) = 7*w(c) - 2*z(c). Find y such that j(y) = 0.
1, 15
Let r(p) be the first derivative of 0*p - 121 + 3*p**2 - 3/4*p**4 - 3/5*p**5 + 1/6*p**6 + 7/3*p**3. Suppose r(g) = 0. Calculate g.
-1, 0, 2, 3
Let a(s) = -s**3 + 221*s**2 + 1281*s + 1131. Let f(v) = -5*v**3 + 895*v**2 + 5125*v + 4525. Let n(r) = -25*a(r) + 6*f(r). Suppose n(t) = 0. What is t?
-15, -1
Let m(z) be the third derivative of -z**8/11760 + z**7/280 - 2*z**6/35 + 8*z**5/21 - z**3 - 218*z**2. Let q(y) be the first derivative of m(y). Factor q(f).
-f*(f - 8)**2*(f - 5)/7
Let 91*u**5 + 560*u**2 + 1772*u**3 - 7*u**5 + 1456*u**4 + 23*u + 52*u**5 + 25*u + 60*u**5 = 0. What is u?
-6, -1, -2/7, -1/7, 0
Let j(p) be the first derivative of -p**6/3 - 34*p**5/15 - 3*p**4/2 + 10*p**3/9 - 145. Solve j(f) = 0 for f.
-5, -1, 0, 1/3
Suppose 917 = -4*u + 2973. Let q = -512 + u. Factor -5/2*d**3 + 0*d - 15/4*d**q + 5/4.
-5*(d + 1)**2*(2*d - 1)/4
Determine f so that -300 - 160*f**2 - 480*f + 15*f**4 + 13*f**2 + 51*f**3 + 12045*f**5 + 12054*f**5 - 24102*f**5 = 0.
-2, -1, 5
Let k be 1*((-12)/(-5) - (-2232)/(-2480))*4. Factor 0 + 44/7*r - k*r**2 - 2/7*r**3.
-2*r*(r - 1)*(r + 22)/7
Let j = -197957 - -593873/3. Factor 578/3*h + 0 + j*h**3 - 68/3*h**2.
2*h*(h - 17)**2/3
Let d(v) = 2*v**2 - v. Let u(y) = 1. Let x(o) = 4*o**2 - 52*o + 4. Let t(m) = 4*u(m) - x(m). Let r(l) = 4*d(l) + t(l). Determine k so that r(k) = 0.
-12, 0
Let v = 1155 + -1153. Suppose -3*q + 4*c = -96, -16 = -q + 5*c + 16. Factor 24*l + 1/2*l**3 - q + 15/2*l**v.
(l - 1)*(l + 8)**2/2
Solve 54 + 223 - 7*g + g**2 - 45*g - 9*g - 49 = 0 for g.
4, 57
Suppose -36903 - 3*z**2 + 12*z**2 + 36627 + 0*z**2 - 408*z = 0. What is z?
-2/3, 46
Let o(b) be the third derivative of -b**8/1848 + 2*b**7/385 + 17*b**6/66 + 128*b**5/55 + 1055*b**4/132 + 150*b**3/11 - 43*b**2 + 4. Find g such that o(g) = 0.
-5, -1, 18
Let c(o) be the third derivative of o**6/90 - 3*o**5/5 + 13*o**4/9 - 2224*o**2. Factor c(q).
4*q*(q - 26)*(q - 1)/3
Factor -10201*j**2 - 9/4 + 303*j.
-(202*j - 3)**2/4
Let q(w) = -2*w**2 + 37*w - 8. Let o be q(18). Suppose -3*x = 4*u - 17, -5*u - 5*x + 5 = -o*u. Factor 3/5*t**3 + 3/5*t**u + 0*t + 0.
3*t**2*(t + 1)/5
Suppose 4*o - 4 = 2*j - 14, -5*j = 2*o - 13. Let u = 10 - 8. Let 0*z**2 + j*z**2 - z - 2*z**2 + 0*z**u = 0. What is z?
0, 1
Let d be (715/150 - 5)/((-46)/230). Solve 4*r**2 + 1/6*r**4 - 5/3*r**3 - 11/3*r + d = 0.
1, 7
Let n(d) be the second derivative of -7/45*d**6 + 1/15*d**5 + 0*d**2 - 2/9*d**3 + 6*d - 9 + 7/18*d**4. Determine w, given that n(w) = 0.
-1, 0, 2/7, 1
Let l(a) be the second derivative of 125*a**7/231 + 70*a**6/33 - 233*a**5/22 + 491*a**4/33 - 332*a**3/33 + 40*a**2/11 - 44*a + 4. Suppose l(k) = 0. Calculate k.
-5, 2/5, 1
Suppose 0 = 4*t + 63 - 79. Suppose -2*c**t - 339 - 8*c**3 - 144*c**2 + 83 - 352*c + 3*c**4 + 3*c**4 = 0. Calculate c.
-2, 8
Let o(j) be the first derivative of j**6/2340 + j**5/156 + j**4/39 - 2*j**3/3 - 37*j**2/2 - 162. Let q(r) be the third derivative of o(r). Factor q(u).
2*(u + 1)*(u + 4)/13
Solve -1/3*h**3 - 73/3*h + 78 - 20/3*h**2 = 0 for h.
-13, -9, 2
Suppose -l - 32 = -3*o, 15*o - 5*l - 34 = 14*o. Suppose 3*s = -3*q + 15, o*q - 15 = -3*s + 7*q. Factor -5/3*j**s - 5/3*j + 10/3*j**3 + 0 + 0*j**4 + 0*j**2.
-5*j*(j - 1)**2*(j + 1)**2/3
Let u(s) be the second derivative of -s**6/30 - s**5/20 + 7*s**4/4 + 15*s**3/2 + 6338*s. Solve u(p) = 0 for p.
-3, 0, 5
Let x = -14 - -16. Suppose -4*z + 0*i + 8 = -2*i, i - x = 0. Factor -9*d**z - 17*d**2 - d**2 - 54*d + 22*d**3 - 54 - 15*d**3.
-2*(d + 3)**3
Let y(f) be the third derivative of -1/45*f**5 + 0*f + 107*f**2 + 0 + 1/90*f**6 - 5/18*f**4 - 2/3*f**3. Factor y(i).
4*(i - 3)*(i + 1)**2/3
Solve -328*n**2 - 390*n**2 + 2*n**4 + 32 + 702*n**2 = 0.
-2, 2
Let t(x) be the third derivative of x**7/14 + 333*x**6/10 + 88977*x**5/20 + 17689*x**4/4 + 12218*x**2. Factor t(k).
3*k*(k + 133)**2*(5*k + 2)
Let p(t) be the first derivative of -1/2*t**3 - 132 + 51/8*t**2 + 27/4*t - 21/20*t**5 + 1/8*t**6 - 27/8*t**4. Let p(s) = 0. What is s?
-1, 1, 9
Let o(v) = 56*v**2 + 10*v + 10. Let p be o(-1). Factor 116*t**2 + 144*t - 32*t + 4*t**4 + 64*t**3 - p*t + 0*t**4.
4*t*(t + 1)**2*(t + 14)
Let v(f) be the second derivative of f**5/20 - f**4/4 + f**3/2 - f**2/2 + 840*f. Suppose v(t) = 0. What is t?
1
Let s(k) = 8*k**3 - 46*k**2 - 24*k + 138. Let g(d) = -16*d**3 + 91*d**2 + 52*d - 275. Let f(w) = -6*g(w) - 13*s(w). Suppose f(u) = 0. Calculate u.
-3/2, 2, 6
Suppose -11*p = -2*p - 27. Determine n so that 67*n**2 + 6*n**3 - 82*n**2 - p*n**3 = 0.
0, 5
Let r = 538 + -528. Suppose 0*b = -r*b. Factor -6/11*j - 2/11*j**2 + b.
-2*j*(j + 3)/11
Let a be (15/(-9))/((-1086)/360 + 3). Let -3698 + a*w - 391*w**2 + 72*w + 389*w**2 = 0. What is w?
43
Let m(f) = f**2 - 1. Let j = 227 - 230. Let i(r) = -r**4 + 10*r**3 - 22*r**2 - 3. Let n(g) = j*m(g) + i(g). Factor n(v).
-v**2*(v - 5)**2
Let c(n) be the third derivative of n**5/150 + 131*n**4/60 - 44*n**3/5 - 10646*n**2. Factor c(o).
2*(o - 1)*(o + 132)/5
Let v = -91763 - -1927025/21. What is q in v*q**4 + 16/21*q**2 + 10/21*q**3 + 0 + 8/21*q = 0?
-2, -1, 0
Let s be 1/8 - (-1591)/3848. Let k = 5/39 + s. Suppose k*d**4 - 2/3 + 4/3*d + 0*d**2 - 4/3*d**3 = 0. What is d?
-1, 1
Let b(q) = 2*q**2 - 3*q - 48. Let s(a) be the second derivative of -5*a**4/4 + 10*a**3/3 + 335*a**2/2 - 85*a. Let d(y) = 20*b(y) + 3*s(y). Factor d(g).
-5*(g - 3)*(g + 3)
Determine x, given that -15632*x - 19312*x**2 - 2400 - 14916*x**2 - 12235*x**2 - 300*x**4 + 13255*x**2 - 22940*x**3 = 0.
-75, -2/3, -2/5
Factor -3939550*b**3 + 3939559*b**3 - 54*b**2 - 39*b - 4*b**2 + 28.
(b - 7)*(b + 1)*(9*b - 4)
What is s in 84*s**2 + s**2 + 5*s**2 - 116 + 5*s**3 - 184 + 20*s - 35*s**2 = 0?
-10, -3, 2
Let m = -6003 - -6010. Let g(k) be the second derivative of 0 - 27*k + 9/20*k**5 + 0*k**2 + 1/4*k**4 + 0*k**3 - 3/14*k**m - 1/10*k**6. Let g(u) = 0. What is u?
-1, -1/3, 0, 1
Let v(s) be the second derivative of 0*s**5 + 1/3*s**3 + 4/15*s**6 - 2*s + 0*s**2 - 1/2*s**4 + 4. Let v(b) = 0. What is b?
-1, 0, 1/2
Suppose -34 = 9131*n - 9148*n. Find k, given that 4*k**n + 4/5*k**3 + 32/5*k + 16/5 = 0.
-2, -1
Let a be (-2543)/5 - -2*(-4)/20. Let m = 4081/8 + a. Factor m - 3/8*l**2 - 3/4*l.
-3*(l - 1)*(l + 3)/8
Let o(z) be the seco