(-3 + 2)/(-1) - -3. Let f(t) = q*x(t) + s(t). Factor f(h).
2*(h - 1)*(h + 1)
Suppose -221*m = -219*m - 4*i - 26, 4*m + 2*i = 12. Factor 16/3 + m*c - 1/3*c**2.
-(c - 16)*(c + 1)/3
Let a(l) be the second derivative of l**5/20 - 605*l**4/2 + 732050*l**3 - 885780500*l**2 + 3630*l. Suppose a(g) = 0. What is g?
1210
Let u be (-21)/(-7) - (-2 + -53 + -4). What is g in 14*g**2 + 8 + 4*g**3 - 8 - u*g**2 = 0?
0, 12
Let j(p) be the third derivative of -1681/3*p**3 + 41/6*p**4 - 1/30*p**5 - 44 + p**2 + 0*p. Factor j(d).
-2*(d - 41)**2
Let r(n) be the third derivative of n**6/480 - 17*n**5/120 + 215*n**4/96 + 125*n**3/12 + 2*n**2 + 6813*n. Solve r(d) = 0 for d.
-1, 10, 25
Let q(l) be the second derivative of -l**5/50 - 37*l**4/30 - 104*l**3/15 - 68*l**2/5 + 645*l. Suppose q(t) = 0. What is t?
-34, -2, -1
Suppose 38*g - 10 - 117 - 25 = 0. Let s(z) be the second derivative of 1/144*z**g + 1/72*z**3 - 2*z + 0 - 1/12*z**2. Factor s(r).
(r - 1)*(r + 2)/12
Let j(r) be the third derivative of r**2 + 2*r**4 - 3/7*r**5 + 0*r - 1/490*r**7 + 13/280*r**6 - 32/7*r**3 - 39. Factor j(s).
-3*(s - 4)**3*(s - 1)/7
Let i(k) be the first derivative of -5*k**3/3 - 1375*k**2/2 - 2730*k - 511. Factor i(p).
-5*(p + 2)*(p + 273)
Let p be ((-14)/18)/(49/(-14))*6/4. Let h(g) be the second derivative of p*g**4 - 28*g + 0*g**2 - 4/3*g**3 + 0 + 1/5*g**5. Factor h(m).
4*m*(m - 1)*(m + 2)
Let i(t) be the first derivative of -t**6/4 + 279*t**5/10 - 6885*t**4/8 + 6071*t**3/2 + 270*t**2 - 12150*t + 12850. Suppose i(l) = 0. What is l?
-1, 2, 45
Let q(b) be the third derivative of b**6/72 + b**5/6 + 103*b**3/6 + 5*b**2 + 27*b. Let u(n) be the first derivative of q(n). Suppose u(h) = 0. What is h?
-4, 0
Let m(w) be the first derivative of 127 - 15/4*w**2 - 1/6*w**3 + 8*w. Factor m(h).
-(h - 1)*(h + 16)/2
Let 0 - 1/2*q**4 - 24*q - 1/2*q**3 + 25*q**2 = 0. Calculate q.
-8, 0, 1, 6
Let f(y) be the first derivative of y**4/12 - 17*y**3/6 + 15*y**2 - 101*y - 89. Let t(m) be the first derivative of f(m). Factor t(o).
(o - 15)*(o - 2)
Let n be (-1)/9*6*3*-3. Let f be -12*8/n*4/(-16). Solve 10/3*m - 95/6*m**3 + 25/6*m**f + 40/3*m**2 + 0 = 0.
-1/5, 0, 2
Determine a so that 1071 - 210*a**2 - 9*a**3 + 1107 - 1314 - 1152*a = 0.
-12, 2/3
Let c(v) be the first derivative of 5*v**2/2 + 37*v + 110. Let p be c(-7). Find z, given that -2/11*z + 0 - 2/11*z**p = 0.
-1, 0
Determine x, given that 48/11*x - 280/11 - 2/11*x**2 = 0.
10, 14
Let r(d) be the second derivative of -d**4/42 + 16*d**3/7 - 80*d**2 - 9456*d. Factor r(q).
-2*(q - 28)*(q - 20)/7
Let r(u) = -24*u**3 + 11577*u**2 + 14884164*u + 6380344968. Let z(h) = 15*h**3 - 11576*h**2 - 14884164*h - 6380344968. Let x(p) = 2*r(p) + 3*z(p). Factor x(v).
-3*(v + 1286)**3
Let -34/3*m**4 + 224*m + 2/3*m**5 + 208/3*m**3 - 560/3*m**2 - 96 = 0. Calculate m.
1, 2, 6
Let f be 1/5 + (-39644)/(-765) + -52. Let x(r) be the third derivative of 0*r + 3*r**2 + 1/15*r**3 - f*r**4 + 1/450*r**5 + 0. Factor x(l).
2*(l - 3)*(l - 1)/15
Let w be (-6 - 32/(-5))/(18/(-5))*-12. Factor 50/3 + 16*d - 34*d**2 + w*d**3.
2*(d - 25)*(d - 1)*(2*d + 1)/3
Factor 13*m**2 + 548*m**3 - 88*m**3 + 192466*m**4 + 923*m**2 - 192470*m**4.
-4*m**2*(m - 117)*(m + 2)
Let m be ((-37)/(-3) + -14)/(-1 + 3/18). What is c in -484*c - 68/7*c**3 - 792/7*c**m - 2/7*c**4 - 2662/7 = 0?
-11, -1
Suppose -95 = -5*i - 1072*r + 1077*r, 3*i = -8*r - 119. Let -5/4*o**5 - 45/4*o + 20*o**2 + 15/2*o**4 + 5/2 - 35/2*o**i = 0. Calculate o.
1, 2
Let -1923*f**2 - 108 + 6*f**4 - 109 - 759*f**3 - 204*f + 15 - 1341*f - 185 = 0. What is f?
-1, -1/2, 129
Let d(r) be the second derivative of -4 + 1/10*r**5 + 3*r**3 - r**4 + 15*r + 0*r**2. Factor d(h).
2*h*(h - 3)**2
Let t(z) be the third derivative of -z**6/180 + 37*z**5/45 - 1769*z**4/36 + 13456*z**3/9 - 647*z**2. Solve t(l) = 0 for l.
16, 29
Let n(f) be the second derivative of 2*f**4/5 - 13*f**3/2 + 12*f**2/5 - 2*f + 2. Find a, given that n(a) = 0.
1/8, 8
Factor 1023879/2*z**2 - 1026028*z + 716*z**3 + 2053489/4 + 1/4*z**4.
(z - 1)**2*(z + 1433)**2/4
Let s(l) be the third derivative of l**6/200 - 23*l**5/100 + 107*l**4/40 - 17*l**3/2 - 2207*l**2. Factor s(f).
3*(f - 17)*(f - 5)*(f - 1)/5
Suppose 4*l = -3*h - 191, 4*h + 2*l = 6*l - 236. Let y = 66 + h. Factor 2*u**5 - 9*u**3 + 10*u**3 - 13*u**3 - 3*u**y - 8*u**2 - 6*u**4.
-u**2*(u + 2)**3
Let p(l) be the third derivative of -19/120*l**4 - 1/75*l**5 + 1/600*l**6 + 0*l - 7/15*l**3 + 0 + 28*l**2. Factor p(u).
(u - 7)*(u + 1)*(u + 2)/5
Let o(w) be the first derivative of 12 + 0*w**2 + 1/20*w**5 + 0*w - 4/3*w**3 + 7/720*w**6 - 1/12*w**4. Let p(i) be the third derivative of o(i). Factor p(j).
(j + 2)*(7*j - 2)/2
Let n(j) = 73*j + 2. Let t be n(0). Suppose -5*v - 8 = 2*x, 3*v + t*v + 3*x + 12 = 0. Let v - 4/7*a + 2/7*a**2 = 0. What is a?
0, 2
Let g(s) be the second derivative of 7*s**5/150 + 667*s**4/90 + 2122*s**3/45 + 184*s**2/5 - 189*s - 3. Determine x, given that g(x) = 0.
-92, -3, -2/7
Factor 36 + 119588*t**2 - 32*t - 119587*t**2 + 24.
(t - 30)*(t - 2)
Suppose -3*q + 26 = 2*t, -2*q + 22 = 4*t - q. Let i(o) be the second derivative of -17/21*o**t + 4/7*o**3 + 23*o + 1/7*o**5 + 0 + 0*o**2. Factor i(k).
4*k*(k - 3)*(5*k - 2)/7
Let t(m) be the first derivative of 0*m + 1/20*m**5 - 15 + 0*m**3 + 5*m**2 - 1/4*m**4. Let h(g) be the second derivative of t(g). Factor h(b).
3*b*(b - 2)
Suppose -i + 13 = 3*p, -3445*i + 3443*i = -p - 5. Let j be (-4)/(-10) + 22/20. Factor -j + 0*k**2 + 3*k - 3*k**3 + 3/2*k**i.
3*(k - 1)**3*(k + 1)/2
Let f be (-11849)/(-1640) - -5*3/(-24). Solve 3/5*x**3 + f*x + 18/5*x**2 + 18/5 = 0.
-3, -2, -1
Let q = 12403 - 12401. Let t(u) be the third derivative of -10*u**q + 0*u + 0*u**4 + 2/3*u**3 + 0 - 1/15*u**5. Solve t(k) = 0 for k.
-1, 1
Let z = 393 - 375. Suppose z*p - 12 = 24. Factor 0 - 1/2*t + 1/2*t**p.
t*(t - 1)/2
Let u(n) = -n**3 + 17*n**2 - 66*n + 13. Let f be u(11). Let i(y) be the first derivative of -f - y**4 + 0*y + 6*y**2 + 8/3*y**3. Solve i(q) = 0 for q.
-1, 0, 3
Let s(m) be the second derivative of -m**4/4 - 4*m**3 - 9*m**2/2 + 2*m + 60. Let z(h) = h**2 + 13*h + 4. Let q(l) = 4*s(l) + 9*z(l). What is g in q(g) = 0?
0, 7
Let y(x) be the second derivative of -x**6/30 + 9*x**5/20 + 13*x**4/3 + 1603*x. Factor y(z).
-z**2*(z - 13)*(z + 4)
Suppose -3*f - 1 + 7 = 0, -q + 3 = -5*f. Suppose -q + 17 = 2*b. What is a in 22*a**2 + 6 + 21*a + 15*a**3 + 0*a**4 + 3*a**4 + 5*a**b = 0?
-2, -1
Factor 285*u + 13*u**2 - 4751 - 82*u**2 + 3*u**3 + 12332 - 24*u**2.
3*(u - 19)**2*(u + 7)
Factor -8 + 8 - 789*c**2 + 894*c**2 - 270*c - 5*c**3.
-5*c*(c - 18)*(c - 3)
Let l be 624/(-10920) - (0 + 516/(-105)). Determine a, given that 32/7*a**2 - l*a + 2/7*a**3 + 0 = 0.
-17, 0, 1
Factor -2/9*l**3 + 40/3*l**2 + 506/9*l + 128/3.
-2*(l - 64)*(l + 1)*(l + 3)/9
Factor 1/10*f**2 + 373321/10 + 611/5*f.
(f + 611)**2/10
Let m(p) be the first derivative of 1/24*p**4 - 12 + 0*p + 1/2*p**2 + 1/15*p**5 - 13/18*p**3. Factor m(w).
w*(w - 2)*(w + 3)*(2*w - 1)/6
Let n = -1001 - -881. Let c be 8/(-10) + (-6)/(n/76). Factor -1/2*p**2 - c*p + 0.
-p*(p + 6)/2
Let w = -488 + 490. Factor h**2 - 6*h - h**4 - w*h - 3*h + 11*h.
-h**2*(h - 1)*(h + 1)
Let n = 103111 + -309313/3. Solve -n*y**2 + 2/3*y**5 + 2*y + 8*y**3 - 4*y**4 + 0 = 0.
0, 1, 3
Let s = -11223437/592515 + -14/16929. Let y = s - -141/7. Factor -3/5*i + y - 3/5*i**2.
-3*(i - 1)*(i + 2)/5
Let q(l) = 22*l + 22. Suppose 8 = 2*t, -t + 5 = -2*u - 1. Let p be q(u). Solve p + 16/7*y**3 - 2/7*y**4 - 8/7*y**2 - 6/7*y**5 + 0*y = 0 for y.
-2, 0, 2/3, 1
Suppose 16 = 3*o + c, -2*c - 2*c + 24 = 2*o. Let f = -763/2 + 396. Solve -f*i - 49/8*i**o - 5/2 + 133/4*i**3 - 81/8*i**2 = 0.
-2/7, 1, 5
Factor -260/7*u**2 - 1224/7*u - 4/7*u**3 - 1440/7.
-4*(u + 2)*(u + 3)*(u + 60)/7
Suppose 2*n + 0 = i + 11, -2*i - 10 = 0. Suppose 24*s**n + 55*s**2 - 10*s**2 + 12*s**4 + 2*s**5 - 29*s**2 = 0. Calculate s.
-2, 0
Let k(l) be the third derivative of 0 - 6*l - 1/230*l**6 + 0*l**3 - 1/276*l**4 - 1/3864*l**8 - 7*l**2 + 4/2415*l**7 + 2/345*l**5. Solve k(w) = 0.
0, 1
Let s be (3/9)/(182/(-1950)) + (0 - -9). Suppose -s*l + 48/7*l**3 - 4/7*l**2 - 10/7*l**5 - 12/7 + 16/7*l**4 = 0. Calculate l.
-1, -2/5, 1, 3
Let i(d) be the first derivative of 8/3*d**3 + 10/3*d**2 + 8/9*d + 16. Factor i(x).
4*(3*x + 2)*(6*x + 1)/9
Let m(s) be the first deriv