 - 6*s. Let k(t) = 0. What is t?
-1, -4/7
Let d(a) = -3*a**3 - a**2. Let u be d(-1). Let p = -2419832 - -2419832. Factor 1/5*k**u + 2/5*k + p.
k*(k + 2)/5
Let g(c) be the second derivative of c**7/294 + 4*c**6/35 + 43*c**5/70 + 31*c**4/21 + 27*c**3/14 + 10*c**2/7 + 2292*c. Factor g(d).
(d + 1)**4*(d + 20)/7
Let w(n) = -n**2 + 64*n - 330. Let f(j) = -6*j**2 + 324*j - 1652. Let o(t) = -3*f(t) + 14*w(t). What is q in o(q) = 0?
7, 12
Suppose 3897 - 2790 = 369*k. What is y in 10/3*y**k + 10*y**2 - 20/3*y - 16/3 - 4/3*y**4 = 0?
-2, -1/2, 1, 4
Find c, given that -301*c + 10*c**3 + 95*c - 92*c**2 - 6*c**3 + 110*c = 0.
-1, 0, 24
Let y be (-3358)/10 + (-5)/(-75)*-3. Let q be ((-28)/y)/(14/16). Factor 8/7*h + q*h**3 - 4/7*h**2 - 16/21.
2*(h - 2)**3/21
Let h = 13515/7796 + 32/1949. Find c, given that -7/4*c**3 + 13/4*c**2 - 5/2*c**4 - 3/4 + h*c = 0.
-1, 3/10, 1
Let s = 84 - 64. Find f, given that -126*f**2 - 78*f**2 - 2*f**5 + 16*f**4 + 384 - 6*f**3 + 224*f + s*f**2 = 0.
-3, -1, 4
Let m(k) be the second derivative of -1/11*k**4 - 3/110*k**5 + 2/55*k**6 + 0*k**2 + 1/77*k**7 + 0*k**3 + 1 + 5*k. Let m(j) = 0. Calculate j.
-2, -1, 0, 1
What is w in -44 + 354/5*w + 6/5*w**3 + 2/5*w**4 - 142/5*w**2 = 0?
-11, 1, 2, 5
Let m be ((-2)/(-9))/((-20)/15)*33/(-11). Let p = -235 + 473/2. Factor 0 + m*l**5 + 1/8*l**3 + p*l**4 - 3/2*l**2 + 1/2*l.
l*(l + 2)**2*(2*l - 1)**2/8
Let s(d) = 3158*d - 31575. Let b be s(10). Let -1/4*u**b - u**3 - u**4 + 0*u**2 + 0 + 0*u = 0. What is u?
-2, 0
Let q(v) be the third derivative of 155*v**2 - 3*v**3 - 109/32*v**4 - 1/112*v**7 - 297/160*v**5 + 0*v - 2 - 33/80*v**6. Find l such that q(l) = 0.
-24, -1, -2/5
What is j in 5 - 174375721*j**3 + 105753*j**2 + 2199207*j**2 - 5880*j - 126805719*j**3 = 0?
1/392
Let s = 137 + -132. Factor -16*a**4 + 12*a - 34*a - 11*a**s - 64*a**2 - 60*a**3 + 31*a**5 - 18*a**5.
2*a*(a - 11)*(a + 1)**3
Let b(c) = c**3 - c**2 - c - 1. Let z(l) = 3*l**3 + 184*l**2 + 11530*l + 238326. Let f be (32/6)/(-8)*(-63)/(-14). Let y(u) = f*z(u) + 6*b(u). Factor y(r).
-3*(r + 62)**3
Let r(m) be the second derivative of -33*m + 0 + 4*m**2 - 14/15*m**3 + 1/15*m**4. Factor r(g).
4*(g - 5)*(g - 2)/5
Let n = 222174/24095 - 100/4819. What is p in -n*p**2 + 0 + 4*p - 2*p**3 = 0?
-5, 0, 2/5
Let x = 30/4807 - -14301/19228. Solve -21/4*l - x*l**2 + 27/2 = 0.
-9, 2
Let f(h) = 6*h**2 - 33*h + 15. Let s be f(5). Let q(z) be the first derivative of -4/3*z + 1/3*z**3 - 1/12*z**4 + s*z**2 + 2. Solve q(t) = 0.
-1, 2
Let a(t) = 2*t**3 - 44*t**2 - 258*t + 1300. Let p be a(26). Factor -22/5*x**2 + 4*x + 2/5*x**3 + p.
2*x*(x - 10)*(x - 1)/5
Let -7/3*r**3 - 40*r + 0 - 113/3*r**2 = 0. Calculate r.
-15, -8/7, 0
Let z(o) be the first derivative of 22/45*o**5 + 6*o - 23/9*o**4 + 67 - 9*o**2 - 1/27*o**6 + 20/3*o**3. Factor z(j).
-2*(j - 3)**3*(j - 1)**2/9
Suppose 5*l - g - 9 = 0, -g + 13 = 3*l + 6. Factor 3*q**l + q**2 - 84 + 84.
4*q**2
Let k(n) be the first derivative of 136 - 1/12*n**6 - 3/8*n**4 + 2*n**2 + 6*n - 13/6*n**3 + 1/2*n**5. Let k(d) = 0. Calculate d.
-1, 2, 3
Let s(l) be the second derivative of -13*l**6/30 + 37*l**5/20 + 53*l**4/6 - 68*l**3/3 - 96*l**2 + 3966*l - 2. What is h in s(h) = 0?
-2, -1, 24/13, 4
Let i be ((-32)/18)/(3/(-9)). Let x = -25152 + 25156. Factor -i - 32/3*n - x*n**2.
-4*(n + 2)*(3*n + 2)/3
Let n(y) be the third derivative of y**5/12 - 475*y**4/3 - 147*y**2 + 9. Suppose n(x) = 0. What is x?
0, 760
Solve 0 + 20/3*h + 2/3*h**2 = 0.
-10, 0
Let a(c) be the third derivative of 58/3*c**3 - 2 + 0*c + 14/3*c**4 - 1/15*c**5 - 9*c**2. Factor a(i).
-4*(i - 29)*(i + 1)
Let i = -213709/22 - -106926/11. What is k in -3/4*k**4 + i*k + 4*k**3 - 2 - 31/4*k**2 = 0?
1, 4/3, 2
Suppose -889 - 500*v**2 - 31 - 915*v + 253*v**2 + 252*v**2 = 0. Calculate v.
-1, 184
Factor -77*j**3 + 2296*j**5 + 41*j**4 - 27*j + 36*j**2 - 2304*j**5 + 29*j**2 + 4*j + 2.
-(j - 2)*(j - 1)**3*(8*j - 1)
Let c(x) be the first derivative of -3*x**5/20 + 7*x**4/4 - 11*x**3/2 + 15*x**2/2 + 120*x - 101. Let k(l) be the first derivative of c(l). Factor k(n).
-3*(n - 5)*(n - 1)**2
Suppose -39*q + 137 = -1312*q + 2683. Suppose 8/5*n + 2/5*n**4 + 0 + q*n**3 + 16/5*n**2 = 0. Calculate n.
-2, -1, 0
Let d(w) be the third derivative of w**7/525 - w**6/100 + w**5/75 + 1045*w**2. Factor d(h).
2*h**2*(h - 2)*(h - 1)/5
Suppose -5*x = -10*x + 100. Suppose w = -4*d + x, 3*w = -d + 2*d + 8. Factor -28*g - 16 - 16*g**2 + 8*g**2 + 0*g**2 + w*g**3.
4*(g - 4)*(g + 1)**2
Let p = -892 - -936. Let k be (-135)/(-110)*p/24. Factor -k*l + 1/2*l**2 + 5/2.
(l - 2)*(2*l - 5)/4
Let y(t) = 7*t + 70. Let h be y(-8). Suppose 50*u - h*u = 0. What is p in u - 6/11*p**3 + 6/11*p**2 + 12/11*p = 0?
-1, 0, 2
Let u = 135497/30 - 29926/15. Factor 3/2*f**2 + 123*f + u.
3*(f + 41)**2/2
Determine a, given that 26 - 1/4*a**2 + 25/2*a = 0.
-2, 52
Let p be ((-32)/20)/(6/(-15)). Suppose 2*u - 4*j = -p, -14 = -4*u + 2*u - 5*j. Suppose -6*k + 6*k**2 + 7 - 4 - k**2 - u*k**2 = 0. What is k?
1
Solve -1827/5*l**2 - 1833/5 - 3663/5*l + 3/5*l**3 = 0.
-1, 611
Let p(w) = -w**3 - 20*w**2 - 22*w - 14. Let s be p(-21). Suppose 0 = 2*q - 893 + s. Find u such that 1/3*u**q + 0 - 1/3*u**3 + 0*u = 0.
0, 1
Let v(j) be the second derivative of -j**4/30 - 77*j**3/15 + 78*j**2/5 - 403*j. Let v(x) = 0. Calculate x.
-78, 1
Let i = 392/573 - 10/573. Let n(o) be the first derivative of -i*o**3 - 7/2*o**2 + 38 + 1/4*o**4 - 4*o. Factor n(f).
(f - 4)*(f + 1)**2
Let v = 24797 + -24761. Let j(q) be the first derivative of -4*q - 2/15*q**3 + v - 11/5*q**2. Factor j(s).
-2*(s + 1)*(s + 10)/5
Let j(t) be the second derivative of -t**4/12 + 74*t**3/3 - 147*t**2/2 - 194*t. Find i such that j(i) = 0.
1, 147
Suppose -5*v = -2*g + 1, -8*v + 8 = -0*v. Suppose -25/2*s**5 + 25/2*s**g + 10/3 + 0*s + 155/6*s**4 - 175/6*s**2 = 0. What is s?
-1, -1/3, 2/5, 1, 2
Let i(t) be the second derivative of t**4/84 - 3*t**3/7 + 45*t**2/14 + 457*t - 1. Solve i(b) = 0.
3, 15
Let j(g) be the third derivative of 29/6*g**4 - 1/30*g**5 + 3*g - 841/3*g**3 + 0 + 6*g**2. Factor j(r).
-2*(r - 29)**2
Let g(h) be the first derivative of -h**4/102 - h**3/51 - 15*h + 41. Let p(i) be the first derivative of g(i). Factor p(f).
-2*f*(f + 1)/17
Let s(a) be the second derivative of -a**4 + 0*a**3 + 183*a + 0 + 0*a**2 + 13/5*a**5 - 8/15*a**6. Factor s(n).
-4*n**2*(n - 3)*(4*n - 1)
Let d(w) = -25*w**4 - 38*w**3 + 2521*w**2 + 13745*w - 16000. Let k(l) = -5*l**4 - 7*l**3 + 504*l**2 + 2750*l - 3200. Let r(y) = -6*d(y) + 29*k(y). Factor r(n).
5*(n - 10)*(n - 1)*(n + 8)**2
Factor 181 - 58100*j**3 + 187 + 831*j**4 + 140*j**3 + 57132*j**2 - 3*j**5 - 368.
-3*j**2*(j - 138)**2*(j - 1)
Solve -45/2 + 5/2*k**2 - 1/4*k**3 + 9/4*k = 0.
-3, 3, 10
Suppose -48*d + 4 = -47*d. Let -30*n**3 - n**5 + 2*n**2 + 10*n**d - 190 - 25*n + 30*n**2 + 196 + 8*n**2 = 0. What is n?
1, 6
Let p(b) be the second derivative of 2*b**6/3 - 392*b**5/5 - 1433*b**4 + 13244*b**3/3 - 3872*b**2 - 10499*b. Determine x, given that p(x) = 0.
-11, 2/5, 1, 88
Let f(d) be the third derivative of -d**6/300 - 14*d**5/25 - 243*d**4/20 + 814*d**3/15 - 148*d**2 + 11*d + 1. What is w in f(w) = 0?
-74, -11, 1
Let u = 765 + -750. Find t, given that -u*t + 9 + 199*t**2 - 15*t + 9 - 2*t**3 - 185*t**2 = 0.
1, 3
Determine j so that 0 - 1/3*j**5 - 358/3*j + 179/3*j**4 + j**3 - 535/3*j**2 = 0.
-1, 0, 2, 179
Let n = 599 + -641. Let i be 6/5*(13 + 476/n). Solve -1248/7*z**i + 126*z**4 + 96/7 + 98*z**5 - 568*z**3 + 320/7*z = 0 for z.
-3, -2/7, 2/7, 2
Solve -1096/9 + 2008/3*x + 22/9*x**2 = 0 for x.
-274, 2/11
Let u(t) be the third derivative of 3/32*t**4 - 1/240*t**5 + 16*t**2 + 5/12*t**3 + 0*t + 2. Let u(j) = 0. Calculate j.
-1, 10
Let u(i) be the first derivative of -i**5/20 + 65*i**4/16 - 231*i**3/2 + 2299*i**2/2 + 2662*i - 1076. Factor u(t).
-(t - 22)**3*(t + 1)/4
Let f(t) = 387*t**2 - 17412*t - 135. Let b be f(45). Find o such that b + 0*o + 6/7*o**2 = 0.
0
Let m be 7 - (4/4 + 1). Let q be (-3)/(((-30)/4)/m). Factor i**2 + 15 - 13*i + 31*i + 2*i**q.
3*(i + 1)*(i + 5)
Suppose 37 = 817*f - 1945 + 348. Factor -4/5*c - f*c**5 + 22/5*c**2 + 34/5*c**4 - 42/5*c**3 + 0.
-2*c*(c - 1)**3*(5*c - 2)/5
Let a be -15 + 21 - (-1)/(2/(-4)). Factor -6*f - 11*f - 8*f - 10 - 16*f**2 - 5*f**3 - a*f**2.
-5*(f + 1)**2*(f + 2)
Let t(f) be the second derivative of f**7/10080 