*5/5 - 683*s**4/4 + 8594*s**3/3 - 3216*s**2 + 1152*s + 285. Find d such that b(d) = 0.
2/7, 1/2, 24
Find z, given that -1/4*z**5 - 47*z**2 + 13/4*z**4 - 4*z**3 + 64 - 16*z = 0.
-2, 1, 8
Let z(v) be the second derivative of v**8/43680 - v**7/4095 + v**6/1170 - 13*v**4/4 - 24*v. Let p(c) be the third derivative of z(c). Factor p(w).
2*w*(w - 2)**2/13
Let m(v) be the first derivative of -2*v**5/85 + 5*v**4/34 + 8*v**3/51 - 44*v**2/17 + 96*v/17 + 144. Find w, given that m(w) = 0.
-3, 2, 4
Let t(b) be the second derivative of -b**4/36 - 41*b**3/18 - 2*b + 66. Determine d so that t(d) = 0.
-41, 0
Let f(o) = -18*o - 396. Let g be f(-22). Let z(t) be the third derivative of -1/48*t**4 + 0 - 1/24*t**3 - 1/240*t**5 + g*t + 3*t**2. Factor z(x).
-(x + 1)**2/4
Let 4*j + 9*j**2 - 9 - 15 + 7*j**2 - 2*j**3 + 6*j**3 = 0. What is j?
-3, -2, 1
What is h in 0 - 368/3*h**2 + 14/3*h**3 + 104/3*h = 0?
0, 2/7, 26
Factor 40*h**2 - 4*h**2 + 52*h**3 - 12*h + 51*h**3 + 44*h - 99*h**3.
4*h*(h + 1)*(h + 8)
Let g = 2347 - 35203/15. Factor -g*s**5 + 4/15*s**2 - 4/15*s**3 - 2/5*s**4 + 2/15 + 2/5*s.
-2*(s - 1)*(s + 1)**4/15
Let b be 6/9 + 4/(-6). Suppose b = m - 6*m + 10. Find i, given that 2*i**2 + m*i**2 - 3*i + 3*i**3 - 4*i**2 = 0.
-1, 0, 1
Let j(i) be the second derivative of -5*i**4/12 + 10*i**3/3 + 30*i**2 - 31*i + 2. Suppose j(o) = 0. Calculate o.
-2, 6
Solve 26/3*r + 4/3*r**4 - 2/9*r**5 + 68/9*r**3 + 20/9 + 112/9*r**2 = 0.
-1, 10
Factor 476 + 324 + 160*k - 114*k + 2*k**2 - 126*k.
2*(k - 20)**2
Factor -58/7*f - 60/7 + 2/7*f**2.
2*(f - 30)*(f + 1)/7
Find v, given that -34*v**3 + 20*v**3 + 15*v**3 - 6*v**2 - 2*v - 2*v - 3*v = 0.
-1, 0, 7
Let k(z) = -7*z + 1. Let u be k(-1). Factor -4*f**3 - 8*f**2 + u - f**3 + 4*f + 0*f**2 + f**3.
-4*(f - 1)*(f + 1)*(f + 2)
Let g be -32 + (-6 + 3 - -6). Let u be (-4)/28 - g/7. Factor i**2 - 2*i**u - 5*i**2 - 22*i**3 + 16*i**3.
-2*i**2*(i + 1)*(i + 2)
Let x be (-58)/30 + -72 + 72 + 2. Let w(q) be the first derivative of 1/12*q**4 + 0*q**2 + 8 + 0*q - x*q**5 + 0*q**3. Solve w(n) = 0 for n.
0, 1
Let l = -23/6 - -4. Let b(h) be the second derivative of 0*h**2 + 5*h - 1/5*h**5 + 0*h**3 - l*h**4 + 0 + 7/15*h**6 - 4/21*h**7. Solve b(j) = 0 for j.
-1/4, 0, 1
Let -2014/23*b - 19718/23*b**2 + 1444/23 - 54/23*b**4 - 2058/23*b**3 = 0. What is b?
-19, -1/3, 2/9
Determine u, given that -12/7*u + 2/7*u**2 + 0 + 2/7*u**3 = 0.
-3, 0, 2
Suppose 3*z + 3 = 2*u + u, -4*u + 16 = 0. Find h, given that 29*h**2 - h + h**5 + z*h**3 - 3*h**4 + h - 30*h**2 = 0.
0, 1
Suppose -12 = 4*w + 5*c, -4*w + 2*c + 434 = 418. Factor 0*z + 0 - 4/19*z**4 + 2/19*z**w + 2/19*z**3.
-2*z**2*(z - 1)*(2*z + 1)/19
Let b = 65 - 55. What is j in 25*j - 3*j + 10*j + 16*j**4 - 8*j**5 + 64*j**2 + 48*j**3 + b*j**5 = 0?
-2, 0
Factor 117*w**4 + 25*w**3 + 288 - 118*w**4 - 14*w + 110*w - 166*w**2.
-(w - 12)**2*(w - 2)*(w + 1)
Let n = -52/59 + 371/354. Determine i, given that n*i**2 + 1/2*i + 1/3 = 0.
-2, -1
Let u(g) = -g**2 + 36*g + 517. Let v be u(47). Factor 1/4*t**3 + v*t + 0 - 1/8*t**4 - 1/8*t**2.
-t**2*(t - 1)**2/8
Let p(j) be the third derivative of 0*j + 0 - 25/6*j**3 - 1/60*j**5 - 5*j**2 + 5/12*j**4. Let p(h) = 0. Calculate h.
5
Let v(b) be the second derivative of -5*b**7/42 + 2*b**6/3 + 11*b**5/4 + 5*b**4/2 + 280*b + 2. Factor v(a).
-5*a**2*(a - 6)*(a + 1)**2
Let h = 57/35 + -8/5. Let n = 73/105 - h. Suppose -2/3*z + n*z**2 - 2/3 + 2/3*z**3 = 0. What is z?
-1, 1
Let o(b) be the first derivative of b + 49/12*b**3 - 24 + 7/2*b**2. Solve o(q) = 0 for q.
-2/7
Determine d so that -19*d**3 - 10 + 15*d**2 - 174*d**4 + 14*d**3 + 169*d**4 + 5*d = 0.
-2, -1, 1
Let q = -2167/2 - -1085. Factor 0 + 3/2*h**3 - q*h - 3/4*h**4 + 3/4*h**2.
-3*h*(h - 2)*(h - 1)*(h + 1)/4
Let x(d) be the third derivative of d**6/660 + 31*d**5/110 + 961*d**4/44 + 29791*d**3/33 + 37*d**2 + 2*d. Find m such that x(m) = 0.
-31
Let l(g) = 7*g**2 + 26*g + 21. Let m be l(-1). Find v, given that 0 - 2/9*v**3 + 4/9*v - 2/9*v**m = 0.
-2, 0, 1
Let b(k) = -k**4 - 12*k**3 + 5*k**2 + 12*k - 10. Let y(j) = -6*j**4 - 60*j**3 + 24*j**2 + 60*j - 50. Let w(a) = -16*b(a) + 3*y(a). Determine v so that w(v) = 0.
-1, 1, 5
Let t(b) = -b**3 + 8*b**2 - 5*b + 1. Let f be t(7). Let a be (f/(-10))/((-7)/(-10) + -1). What is j in 3/2*j**3 - 3/2*j**a + 0*j + 0 - 3/2*j**4 + 3/2*j**2 = 0?
-1, 0, 1
Let c(q) = -q - 1. Let m(g) = 2*g - 4. Let z(j) = c(j) + m(j). Let s be z(7). Suppose 5*h**2 - 14*h**s - 2*h**3 + 3*h**3 - 27 + 27*h = 0. What is h?
3
Let -120/7 + 32/7*b**2 - 12/7*b**3 + 164/7*b = 0. Calculate b.
-3, 2/3, 5
Let n be (-932)/18 - (-2)/(-9). Let z be 1 + (153/(-273) - (-8)/n). Suppose -2/7 + 0*i - z*i**4 + 4/7*i**2 + 0*i**3 = 0. What is i?
-1, 1
Let f(c) be the first derivative of -c**6/5 - 8*c**5/5 - 18*c**4/5 - 32*c**3/15 + 925. Solve f(q) = 0.
-4, -2, -2/3, 0
Let -4*z**4 - 29*z**2 - 44*z**3 + 176 - 103*z**2 - 116 - 148*z - 116 = 0. Calculate z.
-7, -2, -1
Factor 3/4*y**3 - 6 + 21/2*y - 21/4*y**2.
3*(y - 4)*(y - 2)*(y - 1)/4
Let g = -53 + -63. Let f be g/24 + (-3)/(-2) + 4. Factor f*w**2 + 2/3 + 4/3*w.
2*(w + 1)**2/3
Suppose -5*i + 5*f + 21 = 1, 4*f + 12 = 3*i. Let u(y) be the second derivative of 0 + 6*y + 1/5*y**2 + 1/20*y**i - 7/30*y**3. Find w such that u(w) = 0.
1/3, 2
Let s = 64 + -72. Let a(k) = -10*k**4 - 38*k**3 + 2*k**2 + 6*k. Let i(p) = -7*p**4 - 25*p**3 + p**2 + 4*p. Let w(j) = s*i(j) + 5*a(j). Let w(d) = 0. What is d?
-1, 0, 1/3
Let t(h) = -30*h + 422. Let v be t(14). Let o = -2/3789 + 68216/26523. Factor -o*k - 4/7 - 2*k**v.
-2*(k + 1)*(7*k + 2)/7
Let u(d) be the second derivative of d**5/70 - 2*d**4/3 + 2*d - 17. Factor u(n).
2*n**2*(n - 28)/7
Let h = -1821/22 + 916/11. Let -3*r - 9/2 + 4*r**2 + h*r**4 + 3*r**3 = 0. Calculate r.
-3, -1, 1
Suppose -7 = -5*s + 8. Suppose -2*g + 17 = 4*j - j, -s*j + 1 = -2*g. Factor 0 + 2/11*n**4 + 2/11*n + 6/11*n**2 + 6/11*n**j.
2*n*(n + 1)**3/11
Suppose -r = -x - 7, 166*r - 162*r + 4*x = 4. What is v in -2/3*v**3 + 8/9*v + 0 + 0*v**2 + 2/9*v**r = 0?
-1, 0, 2
Let c(m) be the first derivative of -9*m**4/8 - 11*m**3 + 129*m**2/4 - 27*m - 154. Factor c(q).
-3*(q - 1)*(q + 9)*(3*q - 2)/2
Let k(v) be the third derivative of -v**6/40 + 3*v**4/8 - v**3 + 76*v**2. Factor k(h).
-3*(h - 1)**2*(h + 2)
Let n = 133 - -155. Let 144*g - 4*g**3 - n*g + 144*g = 0. What is g?
0
Let o(w) be the second derivative of 3*w**5/10 + 32*w**4/3 - 188*w**3/3 + 96*w**2 - w - 293. Determine p, given that o(p) = 0.
-24, 2/3, 2
Suppose -3*w - 5 = 5*r, 3*w = -7*r + 62 - 63. Factor -6/11*j**3 + 0 - 2/11*j**4 - 4/11*j**r + 0*j.
-2*j**2*(j + 1)*(j + 2)/11
Suppose 3*l = -3*q + 9, 0 = -0*l - 3*l + 2*q + 14. Factor -2*u - 4*u**3 - 3*u**2 + 5*u**3 + 1996*u**5 - 1995*u**5 + 3*u**l.
u*(u - 1)*(u + 1)**2*(u + 2)
Suppose -2*b = 3*x, b = 5*x + 4*b - 1. Let m(y) = -y**4 - y**3 - 4*y**2 + 2. Let d(j) = 2*j**4 + j**3 + 9*j**2 - 5. Let k(h) = x*d(h) + 5*m(h). Factor k(p).
-p**2*(p + 1)*(p + 2)
Let o be -7 - 6 - ((-2 - 0) + 5). Let m = -46/3 - o. Find k, given that 1/3*k**4 - k**3 - m*k**2 + 4*k - 8/3 = 0.
-2, 1, 2
Let o(f) be the second derivative of -1/5*f**5 - 1/18*f**4 + 4/3*f**2 - 4 + 32/27*f**3 + 7*f + 1/27*f**6. Let o(t) = 0. What is t?
-1, -2/5, 2, 3
Let h(v) be the first derivative of -49*v**5 - 2135*v**4/2 - 1780*v**3 + 2060*v**2 - 640*v - 315. Determine l, given that h(l) = 0.
-16, -2, 2/7
Let y(g) be the first derivative of 21 + 1/3*g**3 - 6*g - 1/2*g**2. Factor y(p).
(p - 3)*(p + 2)
Let v = 96 - 89. Factor -7*d**3 + 19*d**3 + 15*d - 20*d**2 - v*d**3.
5*d*(d - 3)*(d - 1)
Let g(b) be the third derivative of 1/60*b**6 + 0 + 0*b**5 + 14*b**2 + 0*b - 1/4*b**4 - 2/3*b**3. Determine q, given that g(q) = 0.
-1, 2
Let n(l) = l**3 - l**2 - 3*l + 13. Let f be n(6). Let i be (-3 - 0)*1 - f/(-49). Factor 6/7*q**3 + 0*q**2 + 0 - 2/7*q**5 + i*q**4 + 0*q.
-2*q**3*(q - 3)*(q + 1)/7
Solve -u**2 - 10*u**2 + 3*u**2 - 1198*u - 144 + 976*u - u**2 = 0.
-24, -2/3
Let f(q) be the third derivative of q**5/120 + q**4/12 + q**2 - 48*q. What is y in f(y) = 0?
-4, 0
Find p such that 0 - 1/7*p + 13/7*p**2 - 12/7*p**3 = 0.
0, 1/12, 1
Suppose -30 + 0 = -2*d. Solve 25*f**2 + 20*f**3 - 6*f**2 - 5*f**4 - d*f**2 - 24*f**2 = 0 for f.
0, 2
Let q(w) = -2*w**2 - 13*w + 9. Let h be q(-7). Determine t, given that 5*t**5 - 20*t**h + 7*t**3 - 3*t**3 - 20*t**4 + 26*t**3 + 5*