s o?
-2, 3
Let r be ((-6)/30)/((-2)/50). Let f(q) = q**2 - 54*q + 97. Let j(x) = -x**2 + 36*x - 64. Let t(z) = r*f(z) + 8*j(z). Let t(g) = 0. What is g?
3
Let d = -372 + 358. Let j be (-6)/(24/d) - 3. Factor j*r**3 + 1/2*r**5 - r**4 + 0*r + 0 + 0*r**2.
r**3*(r - 1)**2/2
Let u(y) be the second derivative of 5*y**7/42 + y**6 + 2*y**5 - 20*y**4/3 - 40*y**3 - 80*y**2 - 62*y. Suppose u(t) = 0. Calculate t.
-2, 2
Let r(l) be the first derivative of -2*l**3/39 + 197*l**2/13 + 2206. Let r(v) = 0. Calculate v.
0, 197
Suppose -96*d + 102*d = 24. Let n(x) be the second derivative of 0 + 7/20*x**d + 3/5*x**2 + 9/10*x**3 - 5*x. Solve n(o) = 0 for o.
-1, -2/7
Let c(o) = 3*o**3 + 14*o**2 - 9*o - 3. Let s be c(-5). Suppose -s*q = -3*v - 14*q - 3, 2*q = -v + 11. Solve -4/7*r**v + 12/7*r + 8/7 + 0*r**2 = 0 for r.
-1, 2
Let a(c) = -5*c**3 + 860*c**2 + 93283*c + 183135. Let l(d) = 2*d**3 - 430*d**2 - 46643*d - 91571. Let r(s) = -3*a(s) - 7*l(s). Suppose r(j) = 0. What is j?
-214, -2
Let g(s) = -14*s - 26. Let p be g(-2). Determine i, given that 11*i**2 - 13*i**p - i**3 + 5*i**2 - 2*i**3 = 0.
0, 1
Let t = 1351/6 - 10132/45. Let a(l) be the third derivative of 7/120*l**6 + 0 + 0*l**4 + 0*l + t*l**5 + 0*l**3 + 16*l**2. Determine i, given that a(i) = 0.
-2/21, 0
Let c(g) be the second derivative of 0 + 33/5*g**5 + 144*g**2 + 151*g + 88*g**3 + 3/4*g**6 + 63/2*g**4 + 1/28*g**7. Find r, given that c(r) = 0.
-4, -3, -2
Let v(h) = 9*h**2 - 321*h + 557. Let y(q) = 2*q**2 - 64*q + 112. Let o(p) = -2*v(p) + 11*y(p). Let k be o(2). Let 15/2 - k*r + 5/2*r**2 = 0. What is r?
1, 3
Suppose -84*b + 116 = 4*b - 30*b. Let -5/3*w**4 - 4*w + 4/3 + 1/3*w**b + 4*w**3 = 0. What is w?
-1, 2/5, 1, 2
Let q(t) = 2*t**3 - 2*t**2 - 18*t - 8. Let g be q(16). Let v be (-426)/g*8/(-1). Factor 0*w + v*w**2 - 4/13*w**3 - 2/13.
-2*(w - 1)**2*(2*w + 1)/13
Let t(q) be the third derivative of q**9/1764 + q**8/1470 + 68*q**3/3 - 29*q**2. Let r(d) be the first derivative of t(d). Factor r(p).
4*p**4*(3*p + 2)/7
Let y(i) be the first derivative of -i**6/12 + 14*i**5/5 - 39*i**4/4 + 38*i**3/3 - 25*i**2/4 - 1804. Factor y(o).
-o*(o - 25)*(o - 1)**3/2
Solve 196/5 - 84*i - 6*i**3 + 1/5*i**4 + 253/5*i**2 = 0.
1, 14
Let l be (25842/(-365) + 70)*(-1)/4. Find s, given that 2*s**2 - l*s**5 - 4/5*s - 2/5*s**4 - 8/5 + s**3 = 0.
-2, -1, 1, 2
Let s(c) = -9*c**5 - 18*c**4 + 6*c**3 + 75*c**2 - 57*c. Let y(f) = 4*f**5 - f**3 - f**2 - f. Let d(l) = -s(l) - 3*y(l). Find m such that d(m) = 0.
-2, 0, 1, 2, 5
Let 3/8*n**3 - 621/8 - 387/8*n - 51/8*n**2 = 0. Calculate n.
-3, 23
Let t(h) be the second derivative of -h**4/6 - 11*h**3/3 + 60*h**2 - 81*h + 7. Solve t(r) = 0.
-15, 4
Let y(h) = 10*h + 31*h**2 - 20*h**2 - 9*h**2 - 250. Let g be y(-14). Let g*c**2 - 6/5*c**3 - 2*c**4 + 0 + 8/5*c**5 - 2/5*c = 0. Calculate c.
-1, 0, 1/4, 1
Let l(n) = -9*n**2 - 9*n + 18*n - 3*n**2 + 9*n**2. Let w(t) = 10*t - 5*t + 5*t - 4*t**2 + 0*t**2. Let m(b) = 6*l(b) - 5*w(b). Factor m(f).
2*f*(f + 2)
Let k = 1549 - 1495. Let m be (7 + 2)*12/k. Determine g, given that -4/11*g - 2/11*g**m + 6/11 = 0.
-3, 1
Let l(m) = 29*m**2 - 3*m + 21. Let s be l(-4). Find h such that 1277*h - s*h + 1200*h**2 + 880*h + 560 - 45*h**3 = 0.
-2/3, 28
Let c(q) be the second derivative of 13*q**5/4 + 187*q**4/24 + 59*q**3/12 + q**2/2 + 4*q + 156. Factor c(v).
(v + 1)*(5*v + 2)*(26*v + 1)/2
Factor 1/4*o**4 + 440*o + 57/4*o**2 - 13/2*o**3 - 448.
(o - 16)**2*(o - 1)*(o + 7)/4
Let w(r) be the third derivative of 1/330*r**5 - 2 + 0*r + 0*r**3 + 18*r**2 + 17/132*r**4. Factor w(o).
2*o*(o + 17)/11
Let t(s) = -2*s**2 + s - 2. Let n(f) = 8*f**2 + 12*f + 55 - 42*f + f**2 + 56*f**2. Let o(x) = n(x) + 30*t(x). Factor o(d).
5*(d - 1)*(d + 1)
Factor 3254/11*n - 1626/11 - 1630/11*n**2 + 2/11*n**3.
2*(n - 813)*(n - 1)**2/11
Solve 124*j**2 + 3*j**3 - 256*j**2 + j**5 + 131*j**2 - 3*j**4 = 0.
0, 1
Suppose 2060*s**2 + 452*s + 18*s**3 + 20766*s - 824*s**2 = 0. What is s?
-103/3, 0
Let d = -1112379/4 - -278095. Factor 21/2*f**2 + 10*f + d*f**4 + 13/4 + 4*f**3.
(f + 1)**3*(f + 13)/4
Suppose 7*y = 15*y - 16. Factor -95*v - 69 + 5*v**y + 2*v**2 - 31 - 2*v**2.
5*(v - 20)*(v + 1)
Factor 2/11*x**4 - 82/11*x**2 + 38/11*x**3 + 42/11*x + 0.
2*x*(x - 1)**2*(x + 21)/11
Let x(z) be the first derivative of -30*z + z**3 - 27 + 9/2*z**2. Solve x(u) = 0.
-5, 2
What is f in 4152/7*f**3 + 41713056*f + 84523824 - 273240*f**2 - 3/7*f**4 = 0?
-2, 462
Let r(j) = -3*j**3 + 31*j**2 + 24*j - 2. Let h(i) = 7*i**3 - 61*i**2 - 43*i + 5. Let t(s) = 6*h(s) + 15*r(s). Factor t(f).
-3*f*(f - 34)*(f + 1)
Let u(d) be the first derivative of -d**6/150 - d**5/50 - d**4/60 - 4*d + 2. Let n(b) be the first derivative of u(b). Factor n(v).
-v**2*(v + 1)**2/5
Let x = 461636 + -461634. Let 0*d + 0 - 3/10*d**3 - 1/5*d**4 + 3/10*d**5 + 1/5*d**x = 0. What is d?
-1, 0, 2/3, 1
Find w such that -6*w - 14*w - 20*w**2 - 33*w**5 + 395*w**3 + 66*w**5 + 29*w**5 - 520*w**4 + 103*w**5 = 0.
-2/11, 0, 1/3, 1, 2
Let q(a) be the third derivative of 2*a**7/735 - 55*a**6/42 + 520*a**5/3 + 7000*a**4/3 + 10753*a**2. Factor q(h).
4*h*(h - 140)**2*(h + 5)/7
Let r(k) = 72*k + 6*k**2 - 47 + 8*k**2 + 62*k + 10. Let i(b) = 30*b**2 + 268*b - 75. Let y(h) = 6*i(h) - 14*r(h). Factor y(m).
-4*(m + 17)*(4*m - 1)
Suppose 4*d - d = -3, -3*n - d - 43 = 0. Let s be (-2)/n*-63*(-18)/324. What is g in s*g**2 + 1/2*g**3 + 10 - 8*g = 0?
-5, 2
Factor -34/19*q**2 + 0 - 32/19*q - 2/19*q**3.
-2*q*(q + 1)*(q + 16)/19
Let q(m) be the first derivative of m**4/20 + 77*m**3/15 + 171*m**2/2 - 5265*m + 5539. Determine a, given that q(a) = 0.
-45, 13
Factor -15 - 59/4*r + 1/4*r**2.
(r - 60)*(r + 1)/4
Let u(t) be the first derivative of 215 + 13/16*t**4 - 1/2*t + 1/6*t**3 - 13/8*t**2. Factor u(m).
(m - 1)*(m + 1)*(13*m + 2)/4
Let l = -4029 - -4031. Let j(g) be the second derivative of l*g + 0 + 0*g**2 - 2/21*g**7 - 2/5*g**6 + 4/3*g**3 - 1/5*g**5 + g**4. What is b in j(b) = 0?
-2, -1, 0, 1
Let o = 78917 - 78917. Find y, given that 2/3*y**2 + 0*y - 2/3*y**4 + 0*y**3 + o = 0.
-1, 0, 1
Let l(u) be the first derivative of 3*u**4/4 + 12*u**3 + 87*u**2/2 - 126*u - 7425. Let l(h) = 0. What is h?
-7, -6, 1
Let g(q) be the third derivative of q**6/300 - 11*q**5/150 + q**4/20 + 9*q**3 - 1180*q**2. Factor g(h).
2*(h - 9)*(h - 5)*(h + 3)/5
Let t(w) = w + 10. Let k be t(-7). Let j(g) = -5*g - 7. Let r be j(-2). What is a in 3*a**2 + 0*a**r + 2 - 6 + a**k = 0?
-2, 1
Let l = 44 + -44. Factor 10 + 10 - 7*z**3 - 44*z - 3*z**3 + z**4 + 33*z**2 + l*z**3.
(z - 5)*(z - 2)**2*(z - 1)
Let l(k) be the second derivative of -2 + 1/12*k**4 + 9*k**2 + 9*k - 3/2*k**3. Factor l(t).
(t - 6)*(t - 3)
Let n(i) be the first derivative of -4*i**5/5 - 83*i**4 - 1580*i**3 - 8154*i**2 + 21384*i + 7575. Factor n(j).
-4*(j - 1)*(j + 9)**2*(j + 66)
Let -6 + 23*u**2 - 2*u**4 + 96*u - 33 + 103 - 11*u**2 - 6*u**3 + 16*u**2 = 0. Calculate u.
-4, -2, -1, 4
Let d(v) = -2*v + 12. Let m be d(2). Suppose 0 = 6*z - m - 118. Suppose 16*w**2 + 6*w**2 - z*w**3 + 6*w - 27*w**4 + 23*w**5 - 7*w**2 + 4*w**5 = 0. What is w?
-2/3, -1/3, 0, 1
Let h(r) be the third derivative of r**8/11200 - r**7/350 + 9*r**6/400 - 41*r**4/12 + r**2 + 60*r. Let n(q) be the second derivative of h(q). Factor n(g).
3*g*(g - 9)*(g - 3)/5
Suppose -4*j + 3*n = -9, 4*j - 3*j + 4*n = 26. Let d(p) = -4*p + 26. Let b be d(j). Find f such that -2*f + 4*f + 6*f**2 + 4*f**b - 8*f**2 = 0.
-1, 0
Let n be 1 + 8/4 + 2 + 253. Let a = n + -258. Factor -2/3*b**4 - 4/3*b**3 + 0*b - 2/3*b**2 + a.
-2*b**2*(b + 1)**2/3
Let z(b) be the third derivative of -2*b**7/105 + 28*b**6/5 - 3078*b**5/5 + 25992*b**4 + 370386*b**3 + 1278*b**2 + 1. Factor z(v).
-4*(v - 57)**3*(v + 3)
Let z be ((-216)/252)/((-12)/7*15/40). Let p = 19 - 16. Determine r so that 0 + r - z*r**2 + 1/3*r**p = 0.
0, 1, 3
Factor -40 - 2/9*d**3 + 352/9*d - 82/9*d**2.
-2*(d - 2)**2*(d + 45)/9
Suppose -3*t + 108 = -6*o - 51, 5*t - o = 202. Let a(b) be the second derivative of t*b + 0*b**3 + 0*b**2 - 1/3*b**4 - 1/15*b**5 + 0. Factor a(v).
-4*v**2*(v + 3)/3
Let p = -4 + 5. Let k be (0 + 98 - (-15 - -12))*p. Determine y so that -k + 101 - 4*y - 46*y**3 + 26*y**2 + 24*y**4 = 0.
0, 1/4, 2/3, 1
Suppose 0 = 2*x - 3*u - 7, x - 8 = -2*x + 5*u. Suppose -2*h + x - 1 = 0. What is w in h + 295*w**2 + 3 - 264*w + 180*w**2 + 1703*w**2 = 0?
2/