)
Let h be 36/(-90)*45/(-1). Let i be (-91)/(-130) - (h/(-10) + 1). Let -i*l - 3/4*l**2 - 3/4 = 0. What is l?
-1
Let x(g) = -5*g - 2 + 9 + 3 + 4*g. Let l be x(6). Solve -3*j**l - 7*j**4 + j**5 - 6*j**5 = 0.
-2, 0
Let h(f) be the second derivative of 11*f**5 - 988*f**4/3 - 24*f**3 - 10680*f. Solve h(i) = 0 for i.
-2/55, 0, 18
Let v be 1/(3 - (-26)/(-8)). Let a be (2376/45)/12 + 1*v. Factor -2/5*o**2 + 2/5*o + a - 2/5*o**3.
-2*(o - 1)*(o + 1)**2/5
Let s(l) = l - 44*l**2 + 35*l**2 + 10*l**2 + 3*l**3. Let q(b) = -5*b**3 - 2*b**2 - 6*b. Let x(z) = q(z) + 2*s(z). Factor x(t).
t*(t - 2)*(t + 2)
Suppose -93/2*o - 7/4*o**2 + 81/4 = 0. What is o?
-27, 3/7
Factor 512*x**3 + 130 - 517*x**2 + 517*x**3 - 391*x - 1025*x**3.
(x - 130)*(x + 1)*(4*x - 1)
Let f be (-2)/((6/(-24))/((-14)/(-8))). Factor 56*g - 174*g**2 + 159*g**2 - f*g.
-3*g*(5*g - 14)
Let w(v) be the first derivative of -3*v**4/2 + 249*v**3 + 189*v**2 - 375*v + 1599. Factor w(o).
-3*(o - 125)*(o + 1)*(2*o - 1)
Determine w, given that 178 - 544 + 1015*w - 511 - 133 + 2*w**2 - 7*w**2 = 0.
1, 202
Solve 0 - 9/2*v**3 - 7/2*v + 1/2*v**4 + 15/2*v**2 = 0 for v.
0, 1, 7
Let v = -180203 + 901039/5. Factor 4/5*f**3 - v*f + 0 - 4/5*f**2.
4*f*(f - 3)*(f + 2)/5
Factor -70/3*r**2 - 5/6*r**3 + 385/3 - 625/6*r.
-5*(r - 1)*(r + 7)*(r + 22)/6
Suppose -2 + 22 = -4*r, 4*b - 2*r = 18. Suppose 2*w + b*w = 60. Factor -60*p - p**4 + w*p**2 + 2*p**4 + 14*p**4 - 20 + 50*p**3.
5*(p - 1)*(p + 2)**2*(3*p + 1)
Let w be (2/(-6))/((-26)/(-2496)*-8). Let j(o) be the third derivative of 0 - 1/90*o**5 + 0*o + 24*o**2 - 16/9*o**3 - 2/9*o**w. Factor j(y).
-2*(y + 4)**2/3
What is a in 9*a**4 - 916*a + 364*a + 360*a**3 + 25*a**4 - 61*a**2 + 703*a**2 - 7*a**4 + 99 = 0?
-11, -3, 1/3
Factor 1028*i + 93*i**3 - 872*i**2 - 9*i**5 - 163 - 205 + 35*i**3 + 88*i**4 + 5*i**5.
-4*(i - 23)*(i - 1)**3*(i + 4)
Let r(l) = -l - 26. Let m(x) = -9. Let k(a) = 11*m(a) - 4*r(a). Let y be k(0). Factor 14*p**4 - 9*p**2 - y*p**3 - 2*p**5 - 11*p**3 - 15*p**2 - 8*p**2.
-2*p**2*(p - 4)**2*(p + 1)
Suppose -b = -6*b - 3*y + 19, 0 = 4*b + 4*y - 20. Factor -14*w**2 - 4*w**2 + b*w**2 + 26 - 10*w**2 + 2*w - 2*w**3.
-2*(w - 1)*(w + 1)*(w + 13)
Let k(l) be the second derivative of -l**4/3 - 3038*l**3/3 + 3040*l**2 + 9909*l. Determine j so that k(j) = 0.
-1520, 1
Suppose 12 - 15 = -s. Suppose -3*g + g + 2*o + 470 = 0, -s*g = 3*o - 717. Suppose -g*q - 95 - 198 - 7 - 3*q**3 - 3*q + 57*q**2 = 0. Calculate q.
-1, 10
Let h(q) = 4*q - 22. Let g be h(-10). Let j = g - -63. Factor -2 + 3*b + j - b - 4*b**2 + 3 + 2*b**5 - 4*b**3 + 2*b**4.
2*(b - 1)**2*(b + 1)**3
Let m be (-9)/(63/245) - (1 + -1). Let p be -5 - ((-65)/m - 7). Factor -1/7*a**2 + 0 - 1/7*a**3 + 1/7*a**4 + p*a.
a*(a - 1)**2*(a + 1)/7
Let c(y) be the first derivative of -y**4/22 + 20*y**3/3 - 213*y**2/11 - 648*y/11 + 7173. Let c(g) = 0. What is g?
-1, 3, 108
Let i(j) = 40*j**3 - 239*j**2 - 5*j - 3. Let m be i(6). Determine k, given that -8*k + 243/4*k**5 + 25/4*k**2 + 273/4*k**m - 513/4*k**4 + 1 = 0.
-1/3, 2/9, 1
Let u(f) be the third derivative of -f**5/60 - f**4/2 + 3*f**3/2 + 9*f**2. Let k(p) = -2*p**2 - 25*p + 17. Let v(c) = 2*k(c) - 5*u(c). Factor v(o).
(o - 1)*(o + 11)
Let h(s) be the first derivative of s**4/12 + 779*s**3/9 + 25220*s**2 - 50700*s + 1116. Let h(l) = 0. What is l?
-390, 1
Let c(o) be the third derivative of -o**5/30 - o**4/4 + 11*o**3/3 + 2*o**2 + 86. Let n(z) = 1. Let y(g) = 2*c(g) - 44*n(g). Factor y(u).
-4*u*(u + 3)
Let t(k) = 6*k**3 + 2*k**2 - 2*k + 2. Let r(f) be the first derivative of 1/2*f**2 - 3*f + 25 - 7/4*f**4 - f**3. Let o(b) = -2*r(b) - 3*t(b). Factor o(d).
-4*d*(d - 1)*(d + 1)
Let h = 503503/100 - 5035. Let o(d) be the second derivative of 0*d**2 - 2/75*d**6 + 3/20*d**4 - h*d**5 - 1/15*d**3 - 15*d + 0. Factor o(u).
-u*(u - 1)*(u + 2)*(4*u - 1)/5
Let x(t) be the first derivative of t**4/8 + 485*t**3/6 + 58563*t**2/4 - 59049*t/2 - 1314. Factor x(g).
(g - 1)*(g + 243)**2/2
Let s be (0 + (-1)/4*2)*-5563 + 37096/(-4637). Factor 79507*m + 43*m**3 - s*m**2 - 3418801/4 - 1/4*m**4.
-(m - 43)**4/4
Suppose 5*n + 2 = -5*h - 33, 2*n + 3*h = -21. Determine s so that n + 6/5*s - 3/5*s**2 = 0.
0, 2
Let g(y) = y**4 - y**2 - y. Let x(o) = -3*o**4 + 5*o**3 - 6*o**2 + 6*o. Suppose 4*h = -4*q + 2*q + 14, -9 = -3*q - 2*h. Let d(v) = q*x(v) + 2*g(v). Factor d(z).
-z*(z - 2)**2*(z - 1)
Suppose 237 - 228 = -3*q, 0 = 3*b - 2*q - 21. Let s(f) be the second derivative of 30*f - 5/3*f**4 + 1/4*f**b + 0 - 5*f**2 + 25/6*f**3. Solve s(w) = 0.
1, 2
Let n(a) be the second derivative of 0 + 1/80*a**5 + 1/2*a**3 - 1/8*a**4 - 75*a - a**2. Factor n(v).
(v - 2)**3/4
Let o(b) = 79*b**2 - 853*b - 174. Let y be o(11). Factor y*f**3 - 6/5 + 38/5*f**2 + 22/5*f.
2*(f + 1)*(f + 3)*(5*f - 1)/5
Find f, given that 328/3*f**3 + 2/3*f**5 + 24*f**4 + 572/3*f**2 + 146*f + 124/3 = 0.
-31, -2, -1
Let y(a) be the first derivative of 55*a**3/3 - 8405*a**2/2 - 1530*a - 2484. Find c such that y(c) = 0.
-2/11, 153
Suppose -20 = 3*r - 26. Factor -220*f**2 - 108*f - 225*f**2 - 104 + 441*f**r.
-4*(f + 1)*(f + 26)
Let w(i) = 5*i**2 - i - 4. Let d(v) = -4*v + 6. Let b be d(2). Let t(f) = -2*f**2 + 1. Let n(k) = b*t(k) - w(k). Suppose n(r) = 0. Calculate r.
-1, 2
Let j be ((-3)/(-15)*(-16 + -11))/((-3)/20). Let d(f) be the third derivative of -3*f**3 + j*f**2 - 5/8*f**4 + 0*f + 1/20*f**5 + 0. Factor d(a).
3*(a - 6)*(a + 1)
Let 61*c**4 - 116421*c**2 - 720 + 595*c**3 - 176*c**4 - 600*c + 5*c**5 + 117256*c**2 = 0. Calculate c.
-1, 1, 12
Suppose -3*z + 2*d - 12 = 0, 20003*z - 20004*z + 5*d = 43. Factor -3/5*s**z - 2028/5 + 156/5*s.
-3*(s - 26)**2/5
Let l be 8 + 0 - (99 - 106) - 26/2. Factor 82/3*x**l + 0 + 80/3*x + 2/3*x**3.
2*x*(x + 1)*(x + 40)/3
Let v(o) be the first derivative of -o**6/3 + 2*o**5/5 + 9*o**4 - 100*o**3/3 + 47*o**2 - 30*o - 2016. Solve v(j) = 0 for j.
-5, 1, 3
Let o(l) be the third derivative of -l**5/120 - 99*l**4/16 - 74*l**3/3 - 22*l**2 + 117. Factor o(j).
-(j + 1)*(j + 296)/2
Let r(y) be the third derivative of y**5/12 + 415*y**4/24 + 790*y**3/3 - 8734*y**2. Solve r(b) = 0 for b.
-79, -4
Let k(u) be the first derivative of 60*u**3 + 5*u**2/8 - 1881. Find y, given that k(y) = 0.
-1/144, 0
Let j(h) be the third derivative of -h**6/200 + 151*h**5/50 - 299*h**4/10 + 596*h**3/5 - 6*h**2 + 119*h. Find w such that j(w) = 0.
2, 298
Let k(q) = 20*q**2 + 32*q - 10. Let a be (-14)/7 + 27 + -1. Let m be (a/6)/(-3*(-2)/9). Let y(w) = 20*w**2 + 32*w - 11. Let j(b) = m*y(b) - 5*k(b). Factor j(t).
4*(t + 2)*(5*t - 2)
Let h = -109009/8690 - 1/790. Let s = h + 425/33. Factor 1/6*g**2 + 0 + 0*g - s*g**3 + 1/6*g**4.
g**2*(g - 1)**2/6
Let n = -18 - -17. Let x be (9 - 6)*(2 + n). Suppose -r**2 + 4*r - x*r**2 - 1 + 6*r**2 + 3 = 0. What is r?
-1
Suppose 3137*w - 3 = 3153*w - 3. What is o in o**3 + w*o**2 - 4 - 4*o + 1/4*o**4 = 0?
-2, 2
Let n(w) be the second derivative of -6*w**7/35 - 32*w**6/75 + 251*w**5/5 - 754*w**4/3 + 6088*w**3/15 - 1008*w**2/5 - 2*w - 5009. Determine m so that n(m) = 0.
-14, 2/9, 1, 2, 9
Let -1/6*t**3 - 31/3*t + 5/2*t**2 + 12 = 0. Calculate t.
2, 4, 9
Factor 72/17*k**3 - 2/17*k**4 + 0*k + 0 + 74/17*k**2.
-2*k**2*(k - 37)*(k + 1)/17
Let q(z) be the first derivative of -3*z**4/4 + 61*z**3 - 693*z**2/2 + 513*z + 10729. Factor q(u).
-3*(u - 57)*(u - 3)*(u - 1)
Let o(k) be the second derivative of 5*k**4/12 + 1075*k**3/6 - 3885*k**2 - 9878*k. Factor o(l).
5*(l - 7)*(l + 222)
Let q be (-5096)/24830 - 1/(-5). Let o = q - -769/955. Factor -4/5*z**4 + 0*z**2 + 8/5*z - 8/5*z**3 + o.
-4*(z - 1)*(z + 1)**3/5
Let m(z) be the first derivative of z**4/22 + 218*z**3/33 + 215*z**2/11 + 214*z/11 - 329. Factor m(c).
2*(c + 1)**2*(c + 107)/11
Suppose -11 = 2*o - 5*h, -3*h = -6*o + 5*o - 7. Suppose -o*i - 6 = -3*w, i + 10 = -w + 6*w. Solve -4/3*a**2 + i*a - 4/3*a**3 + 0 = 0 for a.
-1, 0
Let w = -208136 - -208142. Factor 2*z - 1/2*z**4 + w*z**3 - 30 + 45/2*z**2.
-(z - 15)*(z - 1)*(z + 2)**2/2
Let g be (9 + -10)/(1/7) + (-510)/(-51). Let l be (3/16)/(5/20). Factor l*p + 0 + p**2 + 1/4*p**g.
p*(p + 1)*(p + 3)/4
Let v(k) be the second derivative of -k**4/28 + 27*k**3/7 + 513*k**2/14 + 1251*k. Solve v(t) = 0.
-3, 57
Let x be (-26 - -23)*(-32)/6. Let d(q) = -q**2 + 16*q + 25. Let u be d(x). Factor 6*j**2 - 3*j**2 + 48 - 24*j - u*j + 73*j.
3*(j + 4)**2