t u be (14 - 11)/(3/4). Let z(a) = -a**2 + 12*a + 2. Let g be z(12). Factor 0*c**5 - g*c**3 - 6*c**u + 3*c - 1 - 2*c**5 + 11*c**4 + c - 4*c**2.
-(c - 1)**3*(c + 1)*(2*c - 1)
Let o(m) = 231*m - 1382. Let q be o(6). Let b(i) be the first derivative of 1/2*i + 1/8*i**q + 3/4*i**2 - 30 + 1/2*i**3. Factor b(l).
(l + 1)**3/2
Let k(h) be the second derivative of h**7/504 - 53*h**6/144 + 13*h**5/6 - 103*h**4/12 - 176*h. Let b(o) be the third derivative of k(o). Factor b(d).
5*(d - 52)*(d - 1)
Solve 15700308 - 2*b**2 + 26891*b - 3*b**2 + 2099*b - 57721313 = 0.
2899
Suppose 1/3*l**2 + 0 + 1/2*l**3 + 0*l + 1/6*l**4 = 0. What is l?
-2, -1, 0
Let d(z) = z. Let k be d(2). Suppose i - 4*s = -20, s + 25 = -k*i + 6*s. Factor -3*h - 4*h**2 + 11*h + i*h.
-4*h*(h - 2)
Let h be 23/69 + (-1504)/(-6). Let m = -248 + h. Solve 108/7*n**2 + 4*n**4 - 92/7*n**m + 8/7 - 52/7*n = 0.
2/7, 1
Let s(p) = -8*p**2 - 6*p - 18. Let y(x) = 44*x**2 - 20*x**2 - 23*x**2 + x. Let c(g) = 2*s(g) + 18*y(g). Solve c(f) = 0 for f.
-6, 3
Let u(r) be the first derivative of 3*r**4/8 - 13*r**3/3 - 219*r**2/4 - 35*r - 2814. Find a, given that u(a) = 0.
-5, -1/3, 14
Suppose -5*h = -4*v + 3, 4*v = 3*v - 3*h + 5. Determine s so that -2*s + 4*s + v*s + 18*s**3 - 10*s**3 + 128 - 12*s**3 - 128*s**2 = 0.
-32, -1, 1
Let q(b) be the second derivative of -b**4/12 - 773*b**3/3 - 597529*b**2/2 - 1021*b - 2. Find x, given that q(x) = 0.
-773
Let 110/3*a + 5/3*a**2 + 605/3 = 0. Calculate a.
-11
Factor 0*m + 0 + 40/9*m**2 + 2/9*m**4 - 8/3*m**3.
2*m**2*(m - 10)*(m - 2)/9
Suppose 3674*i + 3679 - 4687 - 10014 = 0. Solve -p**2 + p**4 - 1/3*p**5 + 0 + 2/3*p - 1/3*p**i = 0.
-1, 0, 1, 2
Suppose 24*n = 22*n + 6. Factor -4*z**5 - 68*z**4 - 201*z**n - 163*z**3 - 1036*z - 1548*z**2 - 96*z**3 - 1556*z - 1728.
-4*(z + 3)**3*(z + 4)**2
Let x be 20/(-140) + (-45)/(-21) + 0. Let c be (205/(-104) - 12/(-96)) + x. What is d in 24/13*d + 12/13*d**2 + 16/13 + c*d**3 = 0?
-2
Let p(g) be the third derivative of 0*g - 1/20*g**5 - 1/360*g**6 + 0 - 5/6*g**3 - 23/72*g**4 + 77*g**2. Solve p(i) = 0 for i.
-5, -3, -1
Factor -52*r**3 + 35*r**4 + 0*r**5 + r**5 - 1151*r**2 + 3*r**5 + 1123*r**2 - 55*r**4.
4*r**2*(r - 7)*(r + 1)**2
Let l(p) = -15*p**3 - 555*p**2 - 13805*p + 126025. Let g(z) = -32*z**3 - 1108*z**2 - 27611*z + 252055. Let w(b) = 5*g(b) - 11*l(b). What is x in w(x) = 0?
-60, 7
Let b(l) be the first derivative of 0*l**2 + 2/15*l**3 - 22 - 1/30*l**4 - 31*l. Let a(n) be the first derivative of b(n). Factor a(u).
-2*u*(u - 2)/5
Let k(w) be the third derivative of -w**6/480 + 31*w**5/240 - 73*w**4/32 + 63*w**3/8 + 1884*w**2. Factor k(d).
-(d - 21)*(d - 9)*(d - 1)/4
Let l = 3749/1106 - -61/553. Let -1/4*q**2 - 13/4 + l*q = 0. What is q?
1, 13
Let t(y) be the second derivative of 5*y**7/14 - 31*y**6/3 + 39*y**5/4 + 25*y**4/3 + 5862*y. Determine c so that t(c) = 0.
-1/3, 0, 1, 20
Let c(o) be the third derivative of o**7/126 - 5*o**6/18 + 29*o**5/36 + 305*o**4/36 + 20*o**3 + 251*o**2 + 8*o. Find l, given that c(l) = 0.
-1, 4, 18
Suppose 0 = -5*h + 3*h + 4, -4*m + 14 = 3*h. Let x(n) be the first derivative of -5/4*n**4 - 5/2*n**m + 0*n - 19 + 10/3*n**3. Factor x(i).
-5*i*(i - 1)**2
Let b be -2 - (7/7 + 33305/(-15)). Let m = b + -2217. Let -w**2 + m*w**4 + 0 - 2/3*w**3 + 0*w = 0. What is w?
-1, 0, 3
Let b(w) be the first derivative of w**4/4 - w**3/3 - w**2 - 5. Let l be b(0). What is j in -37*j - 2*j**2 - 8 + 29*j + l*j**2 = 0?
-2
Let d(a) be the third derivative of 5*a**8/336 + 8*a**7/21 + a**6/2 - 23*a**5/6 - 65*a**4/24 + 25*a**3 + 20*a**2 - 24*a - 2. Find b, given that d(b) = 0.
-15, -2, -1, 1
Let g(a) be the third derivative of -a**5/30 + 7*a**4/12 - 2*a**3 - 78*a**2 - 4*a. Factor g(q).
-2*(q - 6)*(q - 1)
Let o be 3/2*-3*(-56)/18. Find s, given that 7*s - o*s**2 + 9*s**2 + 7*s**2 + 3*s = 0.
-5, 0
What is h in 60*h**3 + 79*h**3 - 26*h + 30*h**2 + 65*h**3 - 178*h**3 - 28 - 2*h**4 = 0?
-1, 1, 14
Let o = 1392276/5 + -277536. Let r = 920 - o. Factor -r*j - 24/5 + 4/5*j**3 + 24/5*j**2.
4*(j - 1)*(j + 1)*(j + 6)/5
Let c(n) be the second derivative of -9*n**5/20 - 139*n**4/2 + 484*n**3 + 1152*n**2 + 2*n + 232. Find y, given that c(y) = 0.
-96, -2/3, 4
Factor 22*g**4 - 950*g - 41*g**4 + 12*g**2 - 16 + 942*g + 21*g**4 + 10*g**3.
2*(g - 1)*(g + 2)**3
Let d(f) = 34*f - 2*f**2 + 28 - 19 + 38 - 5*f**2. Let l(o) = 22*o**2 - 100*o - 142. Let x(n) = 10*d(n) + 3*l(n). Factor x(p).
-4*(p - 11)*(p + 1)
Factor -k**2 - 1/3*k**3 + 8 + 10/3*k.
-(k - 3)*(k + 2)*(k + 4)/3
Let s(t) be the second derivative of -t**5/220 + 7*t**4/11 - 392*t**3/11 + 10976*t**2/11 - 552*t. Let s(h) = 0. What is h?
28
Let h(d) be the second derivative of d**5/10 + 20*d**4/3 + 119*d**3 - 882*d**2 - 205*d + 3. Let h(v) = 0. What is v?
-21, 2
Let q(n) be the first derivative of 2*n**2 - 1 - n**3 - 13*n - 1/3*n**4. Let p(w) be the first derivative of q(w). Solve p(k) = 0 for k.
-2, 1/2
Factor 33/2 + 21/2*o**4 - 3/2*o**5 + 93*o**2 + 129/2*o + 57*o**3.
-3*(o - 11)*(o + 1)**4/2
Let k(w) be the second derivative of w**5/25 + 1783*w**4/60 + 19847*w**3/3 - 49729*w**2/10 - 3069*w. Factor k(p).
(p + 223)**2*(4*p - 1)/5
Suppose -734 - 22 = -21*j. Solve 352*u**3 - 379*u**3 - 3*u**4 + 5*u + 55*u + j*u**2 = 0.
-10, -1, 0, 2
Let f = -238 - -235. Let t be f/(-27)*(24 - 14). Determine v, given that t*v + 2/3 + 2/9*v**2 - 2/9*v**3 = 0.
-1, 3
Let x(o) be the first derivative of 2*o**3 + 38*o**2 - 26*o - 2197. Factor x(d).
2*(d + 13)*(3*d - 1)
Let g(n) be the second derivative of n**7/210 - 13*n**6/90 - n**5 - 22*n**3 + 4*n - 3. Let b(q) be the second derivative of g(q). Factor b(k).
4*k*(k - 15)*(k + 2)
Suppose -352*l + 358*l = 66. Suppose 2*g - l = 4*w + 19, 0 = g - w - 12. Factor 0 - g*c**4 - 3*c**3 - 1/4*c**2 + 0*c.
-c**2*(6*c + 1)**2/4
Let s = 21393/47 - 235229/517. Find t such that 0 - s*t**3 + 0*t**2 + 32/11*t = 0.
-4, 0, 4
Let p = 13741 - 13738. Let g(d) be the first derivative of 4/9*d**p + 0*d**2 - 2/9*d**4 - 4/45*d**5 + 0*d - 16. Factor g(s).
-4*s**2*(s - 1)*(s + 3)/9
Factor 0 - 55/2*a**2 - 325*a + 1/2*a**3.
a*(a - 65)*(a + 10)/2
Let b(p) = -3*p**2 + 50*p - 123. Let t(d) = 35*d**2 - 600*d + 1475. Let i be 1/((-1)/5 - 0). Let k = i - -30. Let n(m) = k*b(m) + 2*t(m). Factor n(l).
-5*(l - 5)**2
Let u(s) be the second derivative of -1/2*s**6 + 5/4*s**4 - 1/4*s**5 + 0*s**3 + s + 98 + 5/42*s**7 + 0*s**2. Find a such that u(a) = 0.
-1, 0, 1, 3
Let j(l) be the third derivative of 1/8*l**4 + 0*l**3 + 1/20*l**5 + 20*l**2 + 0 - l. Suppose j(o) = 0. What is o?
-1, 0
Find k such that -1/5*k**2 + 77/5*k + 158/5 = 0.
-2, 79
Let h be (-19)/(-39) + (-204)/(-1326)*-1*1. Suppose h*d**2 + d - 10/3 = 0. What is d?
-5, 2
Let p be 406/252 + ((-7)/(-189)*-3)/1. Let p*a**3 + 3/2*a**2 + 0 + 0*a = 0. Calculate a.
-1, 0
Let c(q) = -11*q**4 - 54*q**3 - 94*q**2 - 18*q - 6. Let p(h) = -10*h**4 - 55*h**3 - 95*h**2 - 15*h - 5. Let g(j) = -5*c(j) + 6*p(j). Factor g(f).
-5*f**2*(f + 2)*(f + 10)
Let 332*p**2 + 19579*p + 5549*p - 127008 + 37368*p + p**3 + 170*p**2 = 0. What is p?
-252, 2
Let d(x) be the second derivative of 5*x - 1/270*x**5 + 0*x**3 - 1/54*x**4 + 0 - 2*x**2. Let j(s) be the first derivative of d(s). Factor j(z).
-2*z*(z + 2)/9
Solve -2/11*g**2 + 98/11*g - 276/11 = 0 for g.
3, 46
Let v = -8048 - -16111/2. Let i(w) be the first derivative of 0*w - 6 - w**3 - v*w**2. Find r, given that i(r) = 0.
-5, 0
Factor 16*d + 1/5*d**5 + 16*d**2 + 8*d**3 + 2*d**4 + 32/5.
(d + 2)**5/5
Let d(h) = -h**2 - 71*h - 1183. Let r be d(-27). Let k(c) be the first derivative of -12/7*c**2 - 3/7*c**4 - 8/7*c - 26/21*c**3 + 14 - 2/35*c**r. Factor k(l).
-2*(l + 1)**2*(l + 2)**2/7
Let t(o) = 6*o - 38. Let d be t(7). Let f = -1 + d. Factor 86*q**4 - 74*q**4 + 96*q - 32*q**2 - 2*q**5 + 0*q**2 - 64 - 16*q**f.
-2*(q - 2)**4*(q + 2)
Let w(q) be the first derivative of -q**5 - 15*q**4/2 - 55*q**3/3 - 15*q**2 + 1619. Factor w(k).
-5*k*(k + 1)*(k + 2)*(k + 3)
Factor -303*w**4 - 1530*w**2 - 516*w**3 - 296 - 878*w + 150*w**4 - 211 - 646*w + 150*w**4.
-3*(w + 1)**3*(w + 169)
What is u in -3/8*u**4 - 243*u**2 - 18*u**3 + 0*u + 13122 = 0?
-18, 6
Let g = -1852701 + 5558131/3. Factor -16/3 + 0*s - 4*s**3 + g*s**2.
-4*(s - 2)*(s - 1)*(3*s + 2)/3
Suppose -15*d = -17*d + 48. Find g, given that -6*g**2 + d*g + 31*g + 2*g**2 - 11*g - 40 = 0.
1, 10
Let v(j) 