
Suppose -35332*s - 34 = -g - 35334*s, -5*g + 3*s - 25 = 0. What is b in 38/7*b**g - 108/7*b**2 - 8/7*b**5 - 8/7*b**3 + 54/7 + 0*b = 0?
-1, 3/4, 3
Let w(q) be the first derivative of -2*q**2 - 1/2*q**4 + 0*q + 20 - 2*q**3. Factor w(r).
-2*r*(r + 1)*(r + 2)
Let c(t) be the first derivative of 14*t**2 + 257*t - 333. Let w be c(-9). Determine j so that 152/9*j**2 + 4/3*j**4 + 88/9*j**3 - 4/9*j**w + 28/9 + 12*j = 0.
-1, 7
Let l(d) be the third derivative of d**6/180 + 868*d**5/15 + 753424*d**4/3 + 5231776256*d**3/9 + d**2 - 715*d - 4. Determine t, given that l(t) = 0.
-1736
Suppose -9*n + 11*n - 64 = 0. Let p be 20/(-15) - n/(-12). Solve -2/3*v**3 + 8/3*v**2 - 10/3*v + p = 0.
1, 2
Let x(z) = 10*z**4 + z**3 - 2*z**2 + 2*z. Let w(i) = 84*i**4 - 24*i**3 - 124*i**2 + 312*i - 160. Let h(n) = -w(n) + 8*x(n). Find o, given that h(o) = 0.
-4, 1, 10
Let y(p) be the second derivative of -p**8/1680 + p**7/70 + 11*p**4/12 - 37*p. Let t(b) be the third derivative of y(b). Factor t(r).
-4*r**2*(r - 9)
Let l = 743 - 738. Let t be 155/30 - l - (-46)/12. Find b, given that 0 + b**3 + 2/3*b**2 + 1/3*b**t + 0*b = 0.
-2, -1, 0
Let z be 1/3 + (-132)/(-9) - -1. Let 67 + p**2 - 25 + 6*p - 17 - z = 0. What is p?
-3
What is a in 14850 + 37*a**2 - 2430*a + 119*a**2 - 2*a**3 + 37*a**2 - 110*a**2 + 43*a**2 = 0?
15, 33
Let q(s) = -s**3 - s - 1. Let m = 38 + -37. Let r be 1 - 2 - (-8 - m). Let v(c) = 4*c**4 - 12*c**2 - 24*c + 8. Let u(w) = r*q(w) - v(w). What is b in u(b) = 0?
-2, 1
Let d(q) = -q**5 - 20*q**4 + 15*q**3 + 216*q**2 - 222*q. Let n(c) = -2*c**5 - 60*c**4 + 46*c**3 + 648*c**2 - 664*c. Let s(x) = 8*d(x) - 3*n(x). Solve s(g) = 0.
-3, 0, 1, 6
Let l(s) = 19*s**2 - 713*s - 1474. Let h(a) = 8*a**2 - 359*a - 738. Let q(g) = 7*h(g) - 3*l(g). What is b in q(b) = 0?
-372, -2
Let i(b) be the second derivative of b**6/150 + 51*b**5/100 + 569*b**4/60 - 693*b**3/10 + 729*b**2/5 + b + 1644. Factor i(n).
(n - 2)*(n - 1)*(n + 27)**2/5
Let z(y) be the third derivative of -y**5/300 - 271*y**4/6 - 734410*y**3/3 - 6271*y**2. Factor z(j).
-(j + 2710)**2/5
Let m(l) be the first derivative of -l**5 - 55*l**4 + 5*l**3 + 335*l**2 + 440*l - 2325. Factor m(p).
-5*(p - 2)*(p + 1)**2*(p + 44)
Let i be (2/5)/((-1)/(-5)). Factor k**3 - k - 4 + 3*k**i - 9*k**4 + k**3 + 8*k**4 - 3*k.
-(k - 2)**2*(k + 1)**2
Let y(z) be the first derivative of z**4/4 - 8*z**3/3 + z**2 - 13*z - 2. Let r be y(8). Solve 2*k**4 - 6*k**2 + 18*k**2 + 145*k**r - 155*k**3 = 0 for k.
0, 2, 3
Let k(u) be the first derivative of u**3/3 - 40*u**2 - 516*u + 8422. Find l, given that k(l) = 0.
-6, 86
What is b in -94/5*b + 1/5*b**2 + 89 = 0?
5, 89
Let a(k) be the third derivative of k**6/160 - 63*k**5 + 264600*k**4 - 592704000*k**3 - 107*k**2 - 12*k. Solve a(l) = 0.
1680
Suppose 10/7*p**3 + 11418/7*p + 8712/7 + 668/7*p**2 = 0. What is p?
-33, -4/5
Suppose 15*g - 3779 = -3704. Let x(p) be the first derivative of -12 - 2/5*p**3 + 3/25*p**g - 3/5*p**4 + 18/5*p**2 + 27/5*p. Determine a, given that x(a) = 0.
-1, 3
Suppose 2*r**2 - 830*r**3 + 15*r**4 - 3*r**2 + 806*r**3 - 11*r**2 = 0. What is r?
-2/5, 0, 2
Let i = 28 + -26. Let z(q) = 19*q + 3. Let g be z(i). Factor -g - u**4 - 3*u - 6*u**2 - 4*u**3 + 40 - u.
-(u + 1)**4
Let f(b) be the third derivative of 2*b**5/45 - b**4/72 - 7*b**3/18 - 493*b**2. What is c in f(c) = 0?
-7/8, 1
Suppose -2 = 2*o, -6*o = j - 3*o. Let d(m) be the second derivative of 3/80*m**5 + 0 + 30*m - 1/8*m**4 - 1/2*m**j + 3*m**2. Solve d(y) = 0.
-2, 2
Let o = -29163/5 + 262507/45. Determine u so that -2/9*u**4 + 0*u - o*u**3 + 14/3*u**2 + 0 = 0.
-7, 0, 3
Let v(x) be the third derivative of -x**6/30 + 317*x**5/15 + 319*x**4/3 + 1861*x**2. Factor v(u).
-4*u*(u - 319)*(u + 2)
Let d(k) be the second derivative of -7/18*k**3 - 2/3*k**4 - 235*k + 0 + 7/60*k**5 + 49/180*k**6 - 1/12*k**2. Factor d(a).
(a - 1)*(a + 1)*(7*a + 1)**2/6
Let l = 5177 - 5165. Let a(y) be the third derivative of l*y**2 + 0 + 1/30*y**5 + 1/6*y**4 + 0*y**3 + 0*y. Determine r, given that a(r) = 0.
-2, 0
Let p(k) be the first derivative of -2*k**5/15 + 23*k**4/9 + 394*k**3/27 + 224*k**2/9 + 152*k/9 + 1846. Solve p(c) = 0.
-2, -1, -2/3, 19
Factor 0*h - 151/4*h**2 + 0 + 1/4*h**3.
h**2*(h - 151)/4
Solve -2/3*u**5 - 34/3*u**3 + 0 + 20/3*u**4 + 0*u + 16/3*u**2 = 0.
0, 1, 8
Suppose -5*m = -5*n - 95, -6*m - 6*n + 9*n + 105 = 0. Determine o, given that 0 + 232/3*o**2 + 68*o**3 - 14*o**5 - 82/3*o**4 + m*o = 0.
-3, -2/3, -2/7, 0, 2
Let l(s) = 4*s**3 + 100*s**2 + 536*s + 437. Let h(r) = 14*r**3 + 400*r**2 + 2146*r + 1749. Let w(v) = -3*h(v) + 11*l(v). Factor w(m).
2*(m - 55)*(m + 1)*(m + 4)
Let k(u) be the second derivative of u**6/150 + 2*u**5/5 + 61*u**4/20 + 142*u**3/15 + 14*u**2 + 78*u - 1. Factor k(n).
(n + 1)*(n + 2)**2*(n + 35)/5
Let c be 10 + 789/(-1841)*67/3. Solve c*a**4 - 3/7*a**5 + 0*a**2 + 6/7*a**3 + 0 + 0*a = 0 for a.
-1, 0, 2
Let o(t) = -30*t**2 - 376*t - 606. Let a(x) = -23*x**2 - 283*x - 454. Let p(i) = -13*a(i) + 10*o(i). Find s, given that p(s) = 0.
-79, -2
Let k(i) be the second derivative of -i**4/4 - 6*i**3 + 255*i**2/2 - 28*i + 23. Factor k(x).
-3*(x - 5)*(x + 17)
Let r be (-1)/5*((-165)/30 - -4*(-72)/64). What is u in -2/5*u**4 + 0 + 8/5*u**r - 4/5*u + 1/5*u**5 - 3/5*u**3 = 0?
-2, 0, 1, 2
Suppose 37*i = 398 + 416. Suppose -i = -21*c + 10*c. Solve -27/4 + 343/4*b**4 - 81/2*b - 63*b**c + 49/2*b**3 = 0 for b.
-3/7, 1
Suppose -15*j + 43 + 2 = 0. Suppose 5*a**j + 5 + 27 - 2 - 35*a = 0. What is a?
-3, 1, 2
Find c, given that -5/2*c**3 + 0 - 1/6*c**5 - 17/6*c**4 + 17/6*c**2 + 8/3*c = 0.
-16, -1, 0, 1
Let r(y) = -3*y**2 + 67*y + 56. Let w(t) = -2*t**2 + 34*t + 40. Let u(x) = 2*r(x) - 5*w(x). Let u(n) = 0. Calculate n.
-2, 11
Let s(v) be the second derivative of -2*v - 7*v**2 + 1/6*v**4 - 2 + 2*v**3. Find w such that s(w) = 0.
-7, 1
Suppose 1835 - 684 = -3721*o + 16035. Determine i so that 0 + 0*i - 1176/5*i**2 - 2/15*i**o + 56/5*i**3 = 0.
0, 42
Let 201*y - 489/4*y**3 + 66 - 279/2*y**2 - 21/4*y**4 = 0. Calculate y.
-22, -2, -2/7, 1
Let o(q) be the third derivative of -q**7/630 + q**6/54 - q**5/30 - q**4/2 + 77*q**3/3 + 206*q**2. Let g(k) be the first derivative of o(k). Factor g(s).
-4*(s - 3)**2*(s + 1)/3
Determine i so that 696 - 773*i**2 + 324*i**2 + 453*i**2 - 140*i = 0.
6, 29
Let d(u) be the second derivative of -u**7/441 + 8*u**6/315 - u**5/10 + 11*u**4/63 - 8*u**3/63 + 3*u + 96. Solve d(r) = 0.
0, 1, 2, 4
Let d(r) be the first derivative of r**6/42 + 18*r**5/35 - 3*r**4 + 88*r**3/21 - 290. What is t in d(t) = 0?
-22, 0, 2
Let p(d) be the second derivative of 0*d**3 + 0 + 0*d**2 + 0*d**4 + 1/20*d**6 + 37*d + 3/20*d**5. Determine y, given that p(y) = 0.
-2, 0
Let n(x) be the first derivative of -x**3/3 - 153*x**2/2 + 468*x - 186. Let n(s) = 0. Calculate s.
-156, 3
Find r, given that -646/3*r - 2/3*r**2 - 644/3 = 0.
-322, -1
Let c(b) = 11*b**2 - 8848*b - 4892949. Let p(y) = 7*y**2 - 4424*y - 2446475. Let r(i) = 6*c(i) - 10*p(i). Solve r(n) = 0.
-1106
Let f = 23816 + -23816. Let g(u) be the first derivative of 40 + 0*u + f*u**2 + 1/4*u**4 - 1/3*u**3. Factor g(x).
x**2*(x - 1)
Let m = -3517 - -3529. Let w(t) be the third derivative of 1/12*t**4 - 2/3*t**3 + 0 + m*t**2 + 0*t - 1/240*t**5. Factor w(y).
-(y - 4)**2/4
Let s = 1823 - 1683. Let j be (-1*(1 + 1))/((-245)/s). Factor 16/7 - j*r**3 + 36/7*r**2 - 48/7*r.
-4*(r - 2)**2*(2*r - 1)/7
Suppose -1133*u = -1128*u + 2620. Let c = 526 + u. Let 88/21*j**3 + 50/21*j**5 + 0 + 16/21*j**c + 20/3*j**4 + 0*j = 0. What is j?
-2, -2/5, 0
Let c(b) be the second derivative of 32*b - 10/11*b**2 + 0 + 1/3*b**3 - 1/66*b**4. Solve c(g) = 0.
1, 10
Factor 1/7*n**5 - 64/7*n - 40/7*n**2 + 10/7*n**4 + 12/7*n**3 + 0.
n*(n - 2)*(n + 2)**2*(n + 8)/7
Let j(x) be the first derivative of 36*x**5/25 + 228*x**4/5 + 1981*x**3/15 + 1127*x**2/10 + 1824. Factor j(z).
z*(z + 23)*(6*z + 7)**2/5
Factor 0*t**2 - 8/3*t**3 + 8/3*t**4 + 0*t + 0 - 2/3*t**5.
-2*t**3*(t - 2)**2/3
Let n = -6037/528 + 126/11. Let k(s) be the third derivative of 0 + 5/16*s**4 + 25*s**2 - 35/24*s**3 + 0*s + n*s**5. Factor k(f).
5*(f - 1)*(f + 7)/4
Solve 2420/13*r + 0 + 746/13*r**3 + 3102/13*r**2 + 2/13*r**5 + 66/13*r**4 = 0.
-11, -10, -1, 0
Let b(x) be the third derivative of 0 + 1/30*x**6 - 4*x + 6*x**2 - 4*x**3 + 2/5*x**5 - 1/6*x**4. Factor b(j).
4*(j - 1