3 + 0 + 15/4*w**2 + 3/4*w**5 - 15/4*w**4 = 0. Calculate w.
-1, 0, 1, 5
Suppose c - 5 + 1 = 0. Let s(d) = d**3 - d**2 + 7*d + 2. Let v be s(c). Factor -72*o**4 - 84*o**2 + v*o**2 + 38*o**2 + 20*o**5 + 48*o**3.
4*o**2*(o - 2)**2*(5*o + 2)
Let d(c) be the third derivative of -c**8/840 + 2*c**7/105 - 37*c**6/300 + 2*c**5/5 - 3*c**4/5 + 8*c**2 - 8. Factor d(l).
-2*l*(l - 3)**2*(l - 2)**2/5
Let c(h) be the third derivative of -h**5/240 - 133*h**4/48 - 17689*h**3/24 + 197*h**2 - 4*h. Factor c(d).
-(d + 133)**2/4
Let l(s) = 7*s**3 + 3787*s**2 + 6*s - 30. Let h(k) = -19*k**3 - 11359*k**2 - 17*k + 85. Let g(m) = 6*h(m) + 17*l(m). Determine z, given that g(z) = 0.
0, 755
Let m(q) be the second derivative of q**4/6 + 34*q**3 - 208*q**2 + 14921*q. Factor m(r).
2*(r - 2)*(r + 104)
Let y(o) be the second derivative of 50*o + 4/3*o**4 + 1/5*o**5 - 8*o**2 + 0 - 2/3*o**3. Let y(j) = 0. What is j?
-4, -1, 1
Let -12*j**2 + 6*j**3 - 6*j - 3/5*j**4 + 63/5 = 0. Calculate j.
-1, 1, 3, 7
Let y(d) be the first derivative of -2/3*d**3 + 16*d - 7*d**2 - 75. Factor y(f).
-2*(f - 1)*(f + 8)
Let y(a) = -13*a - 51. Let k be y(-4). Let u be k/(-5) - 129/(-215). Find s, given that 0*s**4 + 0*s + u*s**3 - 2/5*s**5 + 0 + 0*s**2 = 0.
-1, 0, 1
Solve -34*v**2 + 28*v**4 + 48*v + 6*v**3 - 132*v**4 + 105*v**4 - 3*v**3 = 0.
-8, 0, 2, 3
Determine u so that 48*u + u**2 + 104 - 28 - 2*u**2 + 4*u**2 + 116 = 0.
-8
Suppose 13*h - 6807 = 200. Let x = -536 + h. Factor -2/3*n**2 + 4/3*n**x + 0*n - 2/3*n**4 + 0.
-2*n**2*(n - 1)**2/3
Let v = 608708/5 + -121732. Factor -3/5*b**2 - 18/5*b + v.
-3*(b - 2)*(b + 8)/5
Let s(h) be the second derivative of 18*h**2 + 38/3*h**3 + 11/3*h**4 + 1/5*h**5 + 0 - 23*h. Factor s(a).
4*(a + 1)**2*(a + 9)
Let r(k) be the first derivative of 2*k**3/21 + 132*k**2 + 60984*k - 60. Factor r(j).
2*(j + 462)**2/7
Let g(n) be the third derivative of -n**7/504 + n**6/24 - 5*n**5/24 - 19*n**4/8 - 14*n**2 - n. Let c(h) be the second derivative of g(h). Solve c(r) = 0 for r.
1, 5
Let o(f) = -3*f**2 - 46*f + 303. Let r(y) = 7*y**2 + 143*y - 605. Let g(c) = -5*o(c) - 2*r(c). Solve g(b) = 0.
-5, 61
Let c = 1/806953 + 732713001/260645819. Let y = c - 46/17. Let -2/19*p**5 + 0 + 2/19*p**2 - y*p**4 + 0*p + 2/19*p**3 = 0. What is p?
-1, 0, 1
Suppose -7*v = 6*v + 38*v - 255. Let g(q) be the third derivative of 2*q**3 - 1/10*q**6 + 0*q - 8*q**2 - 5/2*q**4 + 0 + 17/20*q**v. Factor g(b).
-3*(b - 2)**2*(4*b - 1)
Factor 175*s**2 - 593*s**2 + 2*s**3 - 569*s**2 + 5222*s - 4232*s - 5*s**3.
-3*s*(s - 1)*(s + 330)
Let n(j) be the first derivative of j**4/6 + 92*j**3/9 - 95*j**2/3 + 32*j - 6427. Suppose n(y) = 0. What is y?
-48, 1
Let x(b) be the second derivative of b**4/3 - 116*b**3/3 + 714*b**2 - b + 118. Determine l so that x(l) = 0.
7, 51
Suppose 0 = -941*n + 141 + 1741. What is k in 9/5*k**3 - 6/5 - 3*k + 12/5*k**n = 0?
-2, -1/3, 1
Let f(q) be the third derivative of 2*q**7/315 - 121*q**6/360 - 67*q**5/18 + 175*q**4/72 - 3174*q**2 + 1. Solve f(h) = 0.
-5, 0, 1/4, 35
Let z = -105 + 113. Suppose 0 = -6*w + 5*w - 3*o + 8, -3*w = o - z. Find i such that -27*i**3 + 3*i**w + 2*i**2 - 11*i**2 = 0.
-2/9, 0
Let o be (6/(-16))/((25/(-40))/5). Let x be o/(-8) - 66/(-176). Factor 2/3*h + x + 2/3*h**3 + 4/3*h**2.
2*h*(h + 1)**2/3
Let v(z) = 8*z**4 + 254*z**3 + 265*z**2 - 326*z - 255. Let c(f) = 4*f**4 + 128*f**3 + 132*f**2 - 160*f - 128. Let g(r) = -9*c(r) + 4*v(r). Factor g(j).
-4*(j - 1)*(j + 1)**2*(j + 33)
Let a = 75 - 85. Let i be (2 + a/6)*6. Factor 1657*r - 12*r**i - 12*r**3 - 3*r**4 - 1657*r.
-3*r**2*(r + 2)**2
Let c be 582/776 - (((-146)/(-54) - 2) + 0). Let v(i) be the third derivative of 12*i**2 + 0 - 1/27*i**3 + 0*i - 2/135*i**5 - c*i**4. Factor v(b).
-2*(b + 1)*(4*b + 1)/9
Let u(m) = 60*m**3 - 81*m + 2075*m**2 - 2100 + 86*m - 65*m. Let v(g) = 5*g**3 + 173*g**2 - 5*g - 175. Let z(i) = 2*u(i) - 25*v(i). Factor z(t).
-5*(t - 1)*(t + 1)*(t + 35)
Let m(h) = 243*h + 81183. Let j be m(-334). Determine c, given that j*c + 9/4*c**2 + 27/4 = 0.
-9, -1/3
Let z(i) be the third derivative of -i**5/12 - 5*i**4/12 + 140*i**3 - 2*i**2 - 591. Factor z(o).
-5*(o - 12)*(o + 14)
Let c(p) be the first derivative of -p**5/6 - 1027*p**4/24 - 26725*p**3/9 - 6103*p**2 - 3468*p + 306. Determine j so that c(j) = 0.
-102, -1, -2/5
Let m = -28 + 25. Let a be 3/m - (0 + -3). Factor 16*b + 15*b**a + 4*b + 4*b**2 - 14*b**2.
5*b*(b + 4)
Suppose 0 = w - 2*x - 9, 4*x + 40 = w + 25. Let r(h) be the first derivative of -2/13*h - 2/13*h**2 + 6 - 2/39*h**w. Determine o, given that r(o) = 0.
-1
Let p = 213 + -210. Factor 2*b**2 - b**4 - p*b**4 - 2*b**3 + 5*b**4 - 8 + 12*b - b**3 - 4*b**2.
(b - 2)**2*(b - 1)*(b + 2)
Let i(a) be the first derivative of a**3 + 27*a**2/7 + 10398. Find u such that i(u) = 0.
-18/7, 0
Let l(c) be the third derivative of 3*c + 41/24*c**4 - 17*c**2 + 4/15*c**5 + 13/3*c**3 + 0 + 1/120*c**6. Factor l(n).
(n + 1)*(n + 2)*(n + 13)
Let f(h) = 6*h - 158. Let z be f(25). Let l be 32/z + (-42)/(-9). Let -7/3*v - l + 7/3*v**2 + 4*v**3 = 0. Calculate v.
-1, -1/4, 2/3
Let z(h) = h**3 + 5*h**2 + 5*h - 1. Let q be z(-3). Factor 8744*w - 2*w**2 - 2*w**3 - 8744*w + q*w**2.
-2*w**3
Let r = -2556583 + 38348747/15. Let m be 1*-8*2/(-15). Factor -r - 14/15*j**2 + m*j.
-2*(j - 1)*(7*j - 1)/15
Let g(x) be the second derivative of 1/3*x**4 + 0*x**2 + 51*x - 22/3*x**3 + 0. Factor g(a).
4*a*(a - 11)
Let m be (171/(-45) - -4)/((-4)/18*(-135)/600). Factor -1/4*z**5 - 8*z**3 - 12*z + 9/4*z**m + 14*z**2 + 4.
-(z - 2)**4*(z - 1)/4
Let o(l) = -155*l + 15658. Let v be o(101). Factor 0 + 2/15*k**2 + 4/15*k**v - 2/5*k.
2*k*(k - 1)*(2*k + 3)/15
Suppose -20*t - 19 = -59. Let y(u) be the second derivative of 4/3*u**3 - 12*u - 2*u**t - 1/3*u**4 + 0. Find p, given that y(p) = 0.
1
Let j = -16/24841 - -248586/273251. Factor -14/11*q**3 - j*q**2 + 0 + 4/11*q.
-2*q*(q + 1)*(7*q - 2)/11
Determine c so that -8*c**2 + 129821 + 10*c**2 + 110997 + 1388*c = 0.
-347
Let p(o) be the second derivative of 7/12*o**3 - 2 - 1/24*o**4 - 4*o + 0*o**2. Determine w so that p(w) = 0.
0, 7
Let b(z) = z**3 + z**2. Let w = 6053 - 2767. Let g(n) = -w + 1176*n - 92*n**2 - 296 - 2308 - 6*n**3 + 402. Let o(j) = 8*b(j) + g(j). Find l such that o(l) = 0.
14
Let o(i) be the second derivative of -i**7/504 - i**6/24 + 7*i**5/24 + 8*i**4/3 - 9*i + 6. Let u(k) be the third derivative of o(k). Factor u(h).
-5*(h - 1)*(h + 7)
Let g(t) be the first derivative of 9/2*t**2 + 0*t - 110 + t**3. Factor g(n).
3*n*(n + 3)
Suppose -11*n - 108 = -47*n. Suppose 0 = -2*a + 4, -2*a - n*a + 16 = 3*f. Factor -1/3*o**4 - 4/3*o**3 + 0 - 5/3*o**f - 2/3*o.
-o*(o + 1)**2*(o + 2)/3
Let o(m) = 31*m**3 + 24*m**2 - 49*m - 6. Let v be (-48)/20*(-10)/4. Let u(x) = -185*x**3 - 145*x**2 + 295*x + 35. Let n(f) = v*u(f) + 35*o(f). Factor n(w).
-5*w*(w - 1)*(5*w + 11)
Suppose 3*a - 37 = 4*h, 32 = -5*a + 7. Let p(f) = 2*f + 28. Let j be p(h). Let -6*w**j - 10*w**2 + 15*w**2 + 10 - 3*w = 0. Calculate w.
-5, 2
Suppose -4*m + 60 = -5*x, 0 = 3*m + m + 3*x - 60. Let b(t) = -t + 22. Let h be b(m). Solve -24 + 20*n**2 + 14*n**4 - 20*n - h*n**3 + 27*n**3 - 10*n**4 = 0.
-3, -2, -1, 1
Let j(v) be the first derivative of 3/4*v**2 - 3/8*v**4 + 1/20*v**5 + 48 + 0*v - 1/12*v**3. Factor j(x).
x*(x - 6)*(x - 1)*(x + 1)/4
Let g = -8865092/19 + 466588. Determine h, given that -g - 12/19*h + 2/19*h**2 = 0.
-4, 10
Let v = 177 - 153. Factor 4*o**2 - 18*o - 15*o**2 + 5*o**2 - v + 3*o**2.
-3*(o + 2)*(o + 4)
Let f(q) be the second derivative of -q**6/210 + 8*q**5/35 - 5*q**4/14 - 16*q**3/21 + 31*q**2/14 + 4*q - 1507. Factor f(i).
-(i - 31)*(i - 1)**2*(i + 1)/7
Suppose w - 2 = 1. Let 40*q**2 + 2 - q**4 + 3*q - 85*q**2 + 44*q**2 - 3*q**w = 0. Calculate q.
-2, -1, 1
Let i = 190 - 188. Factor -y - 84*y**2 + 43*y**i + 21*y + 37*y**2.
-4*y*(y - 5)
Let k(m) = -2*m**3 - 270*m**2 + 3*m + 12. Let a(o) = 3*o**3 + 269*o**2 - 4*o - 16. Let x(t) = 3*a(t) + 4*k(t). Factor x(p).
p**2*(p - 273)
Let b(x) be the second derivative of -x**8/23520 + x**7/630 - 5*x**6/504 + x**5/35 + 15*x**4/2 - 123*x. Let p(c) be the third derivative of b(c). Factor p(a).
-2*(a - 12)*(a - 1)**2/7
Let g(f) = -f**3 + 2*f**2 + 18*f - 38. Let m be g(4). Suppose -r - 2*r + 7 = l, -3 = r - 5*l. Solve -4*b**m + b + 4*b**2 + 8*b - 3*b**r = 0 for b.
0, 3
Let j = 127343/5 + -25