1429*z + 66*z**2 - 67*z**2.
-(z - 258)**2
Let x = -69415/7 + 763761/77. Factor 0 + x*v**2 + 2/11*v**3 - 64/11*v.
2*v*(v - 2)*(v + 16)/11
Find m, given that 7849*m - 4999*m**5 - 13120*m**2 + 2498*m**5 - 8704 + 4400*m**3 - 560*m**4 + 9591*m + 2503*m**5 = 0.
2, 272
Let u(i) = -7*i - 17. Suppose -h = -4, 4*h - 5*h = -l - 7. Let o be u(l). Factor 6 + 38 - 10*k**4 - 4 + 5*k**o + 55*k**2 - 90*k.
-5*(k - 2)*(k - 1)**2*(k + 4)
Let r(l) be the first derivative of -2*l**5 - 7*l**4 + 16*l**3/3 + 14*l**2 - 6*l + 578. Solve r(g) = 0 for g.
-3, -1, 1/5, 1
Let n(c) be the third derivative of 1/336*c**8 - 76*c**2 + 5/6*c**4 + 0 - 3/40*c**6 - 4*c**3 - 1/105*c**7 + 7/30*c**5 + 0*c. What is k in n(k) = 0?
-2, 1, 2, 3
Suppose 0 = 5*c + 3*i + 115, 15*c - 35 = 18*c - 5*i. Let b(s) = s + 22. Let l be b(c). Determine p so that 5/2*p**3 + 0 + 15/2*p**l - 10*p = 0.
-4, 0, 1
Suppose -24*j = j - 100. Let b = -409/21 + 190/7. What is o in 1/6 + 25/6*o**5 - 7/6*o + b*o**3 - 1/3*o**2 + 65/6*o**j = 0?
-1, 1/5
Let f(a) be the third derivative of 0*a**3 - 1/8*a**4 - 1/240*a**5 - 3*a**2 + 0 + 9*a. Solve f(s) = 0.
-12, 0
Let y(u) be the first derivative of u**4/18 - u**3/3 - 6*u**2 + 29*u + 5. Let a(x) be the first derivative of y(x). Find r such that a(r) = 0.
-3, 6
Let m(i) be the second derivative of i**6/10 - 9*i**5/4 - 3*i**4 + 82*i**3 + 360*i**2 - 112*i - 3. Factor m(r).
3*(r - 15)*(r - 4)*(r + 2)**2
Let h = 310879/5 - 62174. Factor -1/5*w**2 + 6/5*w - h.
-(w - 3)**2/5
Suppose -3/4*w**3 - 198*w - 117/4*w**2 - 372 = 0. Calculate w.
-31, -4
Let m(r) be the third derivative of 0*r**4 + 1/270*r**6 + 0*r**3 + 0 - 1/168*r**8 + 151*r**2 + 0*r + 0*r**5 - 1/135*r**7. Determine n, given that m(n) = 0.
-1, 0, 2/9
Let j(t) be the first derivative of t**4 - 40*t**3/3 - 26*t**2 + 88*t + 3569. Suppose j(v) = 0. What is v?
-2, 1, 11
Let j = 69 - 32. Let d = 40 - j. Find k, given that 12*k**4 - k + 4*k**3 + 3*k**3 - 5*k**2 - 9*k**5 - 5*k**d + k**2 = 0.
-1/3, 0, 1
Let s(o) be the second derivative of -5*o**7/126 - 10*o**6/9 - 37*o**5/12 - 5*o**4/2 + 2*o - 45. Factor s(h).
-5*h**2*(h + 1)**2*(h + 18)/3
What is p in -45/2*p**2 + 1/4*p**5 + 0 + 73/4*p**3 - 4*p**4 + 0*p = 0?
0, 2, 5, 9
Let b = -146 - -242. Suppose 5*u + 3*u - b = 0. Determine k so that -3*k**3 + u*k + 0*k**2 - 2*k**3 + 5*k**2 - 2*k = 0.
-1, 0, 2
Suppose -27*w + 3455 = -22*w. Let r = -686 + w. Find g such that -10/11*g**r - 12/11 + 46/11*g - 36/11*g**3 - 32/11*g**2 + 4*g**4 = 0.
-1, 2/5, 1, 3
Let v = 17471 + -1467559/84. Let f(o) be the second derivative of 0*o**2 + 0*o**3 + 1/6*o**5 + o + v*o**7 - 2/9*o**6 + 0*o**4 + 0. Let f(w) = 0. Calculate w.
0, 2/3, 2
Factor 7*g**2 - 51 + 3*g**2 - 40*g + 3*g**2 - 14*g**2 - 25.
-(g + 2)*(g + 38)
Let a(w) be the first derivative of -1/10*w**4 - 48 - 1/3*w**3 + 6/5*w + 1/10*w**2. Let a(f) = 0. What is f?
-2, -3/2, 1
Let c(m) = m**2 + 3*m - 7. Let r be c(-5). Suppose 2*u - 3*t - 19 = -2, 4*u + 4*t - 4 = 0. Suppose 6 + 4*n**r - 8*n**2 - u*n + 7 - 5 = 0. What is n?
-1, 1, 2
Let b(v) be the third derivative of v**5/270 - 43*v**4/108 + 52*v**3/9 - 129*v**2. Find u such that b(u) = 0.
4, 39
Suppose 55*q - 704 - 1111 = 0. Suppose 26*n + 21 = q*n. Factor -2/3*s**n + 4/3 + 2/3*s - 4/3*s**2.
-2*(s - 1)*(s + 1)*(s + 2)/3
Let c = -39581 + 39584. Factor 9/4*k**4 + 3/4*k**3 + 0 - c*k**2 + 0*k.
3*k**2*(k - 1)*(3*k + 4)/4
Let k(q) be the third derivative of -q**7/175 + 213*q**6/8 - 3545783*q**5/100 + 1768899*q**4/40 + 1771561*q**3/10 - 2*q**2 - 211. Suppose k(f) = 0. Calculate f.
-1/2, 1, 1331
Suppose 538*c = v + 535*c, -4*c - 11 = -5*v. Determine u so that 32/9*u**v + 4/9*u + 22/9*u**2 - 4/3*u**5 + 0 + 2/9*u**4 = 0.
-1, -1/2, -1/3, 0, 2
Let x = -452278 - -3165961/7. Factor -x*m + 18/7 - 3/7*m**2.
-3*(m - 1)*(m + 6)/7
Let s(g) = 1618*g + 17798. Let q be s(-11). Find i, given that 33/2*i**2 + q - 3*i - 33/2*i**4 - 21/2*i**3 + 27/2*i**5 = 0.
-1, 0, 2/9, 1
Factor 1/2*i**2 + 59/2*i + 135.
(i + 5)*(i + 54)/2
Let k be ((-30)/(-20))/(((-2)/(-24))/(-1)). Let j be 7/2 - 3 - 39/k. Factor j*x - 4/3*x**2 + 4.
-4*(x - 3)*(x + 1)/3
Factor 79*k**2 + 45*k + 1536*k**2 + 21*k + 698*k**3 + 5 + 747*k**3 + 109*k.
5*(k + 1)*(17*k + 1)**2
Let j(b) be the first derivative of 45*b**4/4 - 9935*b**3 + 19840*b**2 - 13220*b - 3109. Factor j(x).
5*(x - 661)*(3*x - 2)**2
Suppose -34 = -15*t + 11. Suppose 3*w + 8 = -2*l, 3*l = -3*w - t - 3. Let -10 + 81*y - y**l - 47*y - 45*y = 0. Calculate y.
-10, -1
Factor -428*y + 159*y + y**2 + 159*y + 138*y.
y*(y + 28)
Let h be (-430)/(-10) - (-1 + 1). Let m = h - 24. Let 12*s**3 + 2*s + 8*s**3 - m*s**3 + 3*s**2 = 0. Calculate s.
-2, -1, 0
Let z(o) = 4*o + o**3 + 3*o**2 - 17 + 9 + 12. Let u be z(-2). Factor u*i**2 - 54 - 32*i + 7*i**2 - 10 - 11*i**2.
-4*(i + 4)**2
Suppose 2187*a - 81/2*a**2 + 1/4*a**4 - 9*a**3 + 59049/4 = 0. What is a?
-9, 27
Let u(t) be the first derivative of -2/21*t**6 - 2/35*t**5 + 0*t + 0*t**4 + 76 + 0*t**3 + 0*t**2. Factor u(q).
-2*q**4*(2*q + 1)/7
Solve -26*b + 295*b**2 - 99*b**3 - 3*b - 110*b - 53*b - 4 = 0 for b.
-2/99, 1, 2
Let c(v) = -v**2 + 14*v + 8. Let k be c(7). Suppose 4*m - k = 3*s, -4*m - 2*s = -43 + 1. Let 10 + m*j**3 + 23 + 15*j**2 - 51 - 69*j = 0. What is j?
-3, -1/4, 2
Let y(b) be the second derivative of 0*b**2 - 2*b + 70 + 1/20*b**5 + 1/6*b**4 + 1/6*b**3. Solve y(x) = 0 for x.
-1, 0
Let f(v) be the second derivative of -v**5/240 + v**4/48 + v**3/3 + 85*v**2 + 182*v. Let g(i) be the first derivative of f(i). Find s such that g(s) = 0.
-2, 4
Let s(n) = 544*n - 2174. Let y be s(4). Let t(w) be the first derivative of 0*w + 1/7*w**y + 13 - 2/21*w**3 + 2/35*w**5 - 1/14*w**4. Factor t(x).
2*x*(x - 1)**2*(x + 1)/7
Let p(i) be the first derivative of 1/55*i**5 - 4/33*i**3 + 0*i**2 + 0*i - 3/44*i**4 - 42. Let p(a) = 0. Calculate a.
-1, 0, 4
Factor 793*u**3 + 4900*u - 1426*u**3 + 777*u**3 - 296 - 3120*u**2 - 1704.
4*(u - 20)*(6*u - 5)**2
Let m be 63/(-56)*3*14/(-189)*8/5. Suppose -m*g**3 + 0 + g**4 - 1/5*g**5 + 0*g - 8/5*g**2 = 0. What is g?
-1, 0, 2, 4
Let r(y) be the first derivative of -y**6/195 - 6*y**5/65 + y**4/6 + 65*y - 281. Let g(b) be the first derivative of r(b). Solve g(c) = 0 for c.
-13, 0, 1
Let h(i) be the third derivative of -1/160*i**6 - 9/8*i**3 - 7/80*i**5 - 15/32*i**4 + 0 + 2*i - 16*i**2. Determine f, given that h(f) = 0.
-3, -1
Let -7/9*i**3 + 7/9*i - 19/9*i**2 + 2 + 1/9*i**4 = 0. Calculate i.
-2, -1, 1, 9
Let h = 70/67 + 11442/335. Suppose 3323*w = 3411*w - 352. Find f, given that h*f**3 + 5*f + 64/5*f**w + 2/5 + 108/5*f**2 = 0.
-2, -1/4
Let h(p) = -3*p**3 - 19*p**2 + 13*p + 4. Let w be h(-7). Factor 14*m**2 - 7*m**2 - 4*m - w*m**2.
-4*m*(m + 1)
Let q(l) = 8*l + 2*l + l**2 - 20 + 4*l**2. Let f(y) = -y**2 - 2*y - 1. Let k(c) = 4*f(c) + q(c). Factor k(s).
(s - 4)*(s + 6)
Let w(x) = -7*x**2 + 44*x + 54. Let y(l) = -17 + 88*l - 170*l**2 + 123 + 157*l**2. Let g(o) = -5*w(o) + 3*y(o). Factor g(m).
-4*(m - 12)*(m + 1)
Let p(t) be the first derivative of -t**3/3 + t**2 - t - 39. Let r(q) = -10*q**2 + 9*q - 2. Let m(b) = 2*p(b) - r(b). Let m(u) = 0. What is u?
0, 5/8
Let y(q) = q**2 + q - 1. Let p(o) be the first derivative of 4*o**3 + 8*o**2 - 40*o - 44. Let m(f) = p(f) - 8*y(f). Factor m(x).
4*(x - 2)*(x + 4)
Let y = -7 - -23. Suppose 0*d + 35 = 2*f + 5*d, -f - d + y = 0. What is v in -f*v + 5*v**2 + 80 - 51*v + 26*v = 0?
4
Let c(n) be the third derivative of n**6/280 - 79*n**5/28 + 693*n**4 + 19602*n**3/7 + 1182*n**2. Factor c(i).
3*(i - 198)**2*(i + 1)/7
Let n(i) be the first derivative of i**9/1008 - i**8/35 + 2*i**3/3 + 26*i - 5. Let k(b) be the third derivative of n(b). Let k(d) = 0. Calculate d.
0, 16
Let z(l) be the first derivative of -8 - 35/6*l**3 + 15/4*l**4 + 25*l - 5*l**2. Let s(w) be the first derivative of z(w). Let s(j) = 0. What is j?
-2/9, 1
Let f(l) be the third derivative of -1/120*l**6 - 1/60*l**5 + 0 + 0*l + 0*l**3 + 120*l**2 + 1/2*l**4. Let f(j) = 0. What is j?
-4, 0, 3
Let c = 166 - 164. Suppose -c*v + 0*i + 2*i = 6, 0 = -v - 3*i + 17. Find n such that -4/5*n**v + 2/5 + 7/5*n = 0.
-1/4, 2
Let h = 24933399/33760258 - -1/636986. Let j = h + -24/53. Factor 0*y - 1/7*y**3 - j*y**2 + 0.
-y**2*(y + 2)/7
Solve 64/7*y + 324/7*y**4 - 74/7*y**2 - 8/7 - 306/7*y**3 = 0.
-1/2, 2/9, 1
Suppose -758 + 158 = -40*g. Factor -162*a**3 + 51*a - g*a*