k + 0 + 2/3*k**i = 0. What is k?
0, 1
Suppose i + 5*j + 13 = 0, 2*i + 3*j + 2*j = -6. Suppose -5*r + 8 = -i. Find w such that 2*w**5 - 4*w**r - 189*w**2 + 2*w**4 + 189*w**2 = 0.
-2, 0, 1
Let g(q) = 60*q**2 + 92*q - 416. Let i(n) = 41*n**2 + 62*n - 277. Let s(v) = -11*g(v) + 16*i(v). Suppose s(j) = 0. Calculate j.
-9, 4
Let a(n) = 3*n**3 + 3*n**2 + 4*n + 5. Let b be a(-2). Let f be (-3 - b/6)*-6. Factor -4*c**2 - c**4 - f*c**4 + 8*c**2 + 0*c**2.
-4*c**2*(c - 1)*(c + 1)
Let p(h) = -4*h**2 - 10*h. Let b(d) = -160190*d**2 - 3426*d - 18. Let i(y) = b(y) - 3*p(y). Suppose i(x) = 0. Calculate x.
-3/283
Let j(o) be the third derivative of o**7/735 + o**6/140 - 3*o**5/14 + 27*o**4/28 + 65*o**2 + 1. Factor j(k).
2*k*(k - 3)**2*(k + 9)/7
Suppose 264*m**2 + 19*m**3 + 1/2*m**4 + 6655/2 + 1573*m = 0. What is m?
-11, -5
Let c(h) = -17*h - 30. Let a be c(-2). Find x such that -3*x**2 + 3*x**a - 1660*x**3 + 1660*x**3 = 0.
-1, 0, 1
Let t = -473 - -473. Let 4*z**4 - 6*z**5 + 3*z**3 + 6*z**4 + t*z**5 - 24*z**2 - z**4 + 15*z**2 + 3*z = 0. What is z?
-1, 0, 1/2, 1
Let w(d) be the second derivative of -2*d**6/15 - 428*d**5/5 - 15122*d**4 + 184040*d**3/3 - 92450*d**2 + 2*d - 37. Suppose w(h) = 0. What is h?
-215, 1
Let o(c) be the third derivative of -c**6/2340 + c**5/78 + c**4/4 - 257*c**3/6 - 266*c**2. Let d(v) be the first derivative of o(v). Factor d(z).
-2*(z - 13)*(z + 3)/13
Suppose -45*l = -207 + 72. Let d(s) be the first derivative of 1/4*s**4 - 1/2*s**l - 1/8*s**6 + 1/5*s**5 + 1/2*s - 1/8*s**2 - 7. What is q in d(q) = 0?
-1, -2/3, 1
Let n be 19 + -35 - 3/((-72)/428). Factor n*z**2 - z + 0 - z**3 + 1/6*z**4.
z*(z - 3)*(z - 2)*(z - 1)/6
Suppose -8 = 444*w - 448*w. Suppose 66*n + 2*k + 8 = 70*n, 5*n - 10 = w*k. Let 2/3 - n*g**3 - 2/3*g**2 + 2*g = 0. Calculate g.
-1, -1/3, 1
Factor -4/3*z**2 + 0 - 1804/3*z.
-4*z*(z + 451)/3
Let b(f) = 56*f**2 + f + 1. Let y be b(1). Determine k so that 5*k**2 + 26*k - 14*k + y*k = 0.
-14, 0
Suppose -2*z - 5*z**5 + 20*z**2 + 4482420*z**3 - 241*z + 18*z - 20*z**4 - 4482190*z**3 = 0. Calculate z.
-9, -1, 0, 1, 5
Let w(l) = l**3 + 56*l**2 + 106*l - 109. Let s be w(-54). Let n be (6/(-6 - -36))/s*-10. Factor -7/8*h**4 + 2*h - 2*h**3 - h**2 + n - 1/8*h**5.
-(h - 1)*(h + 2)**4/8
Let y(s) be the second derivative of 0 - 5/3*s**3 + 0*s**2 + 0*s**4 - 1/540*s**6 + 1/90*s**5 + 49*s. Let m(c) be the second derivative of y(c). Factor m(f).
-2*f*(f - 2)/3
Let q(t) = -t**3 + 14*t**2 - 12*t + 3. Let f be q(13). Suppose -4*x + 36 = 4*w, 2*x + w - f = -2*w. Factor 3*j**2 + 3*j**2 + 20 - x*j**2.
-5*(j - 2)*(j + 2)
Let q(k) = k**2 + k - 7. Let l be q(-4). Suppose l*a + 3*g - 16 = 0, 0*a + 5*a = g + 8. Factor 0*y**3 + y**3 - 16*y + y**3 - 3*y**3 + 8*y**a.
-y*(y - 4)**2
Let u(j) = 4*j**4 - 4*j**3 - 6*j**2 + 12. Let x(n) = 3*n**4 - 4*n**3 - 5*n**2 + 10. Let g(i) = 5*u(i) - 6*x(i). Find z such that g(z) = 0.
-2, 0
Let g(h) = -h**3 + 117*h**2 - 3587*h + 9745. Let u(o) = -5*o**3 + 585*o**2 - 17933*o + 48724. Let y(d) = 11*g(d) - 2*u(d). Determine z so that y(z) = 0.
3, 57
Let j = 253 - 163. Suppose -5*k + j = 5*r, 3*k - r - 42 = -0*k. Factor -3*d + 0*d + k*d**2 + 6 + 18*d**2 - 36*d**2.
-3*(d - 1)*(d + 2)
Find v such that 224*v**2 - 4*v**3 - 3087*v + 12713 + 17129 - 5266 - 1009*v = 0.
16, 24
Let u(k) = 13*k. Let p(d) = -d**2 - 75*d - 39. Let m(i) = -5*p(i) - 35*u(i). Find f such that m(f) = 0.
3, 13
Let x(d) = -2*d - 4. Let u be x(4). Let v = u - -50. Factor 9*s - 19*s**2 + 12 + v*s**2 - 22*s**2.
-3*(s - 4)*(s + 1)
Suppose -42 - 93/5*h + 222/5*h**2 - 3/5*h**5 + 96/5*h**3 - 12/5*h**4 = 0. Calculate h.
-7, -2, -1, 1, 5
Solve -5*i**4 - 3*i**5 + 277500 + 30*i**3 - 277500 - 32*i = 0.
-4, -1, 0, 4/3, 2
Let n(h) = -2*h**3 - 2*h**2 + 24*h + 11. Let s be n(-5). Solve 26*q**2 + 27*q**2 + 33*q**2 - 15*q**3 + 10*q - s*q**2 = 0.
-1, 0, 2/3
Let q be 8/12 - 182/(-42) - (-2 + 7). Let l(o) be the second derivative of -1/16*o**4 + q + 0*o**2 + 1/40*o**6 - 14*o + 0*o**5 + 0*o**3. Factor l(h).
3*h**2*(h - 1)*(h + 1)/4
Suppose 3*h + 16 = 3*f - 26, -5*h - 10 = -f. Let l be (-1134)/234 - f/(-3). Factor -4/13 - l*d**2 - 6/13*d.
-2*(d + 1)*(d + 2)/13
Let u(k) be the second derivative of -k**7/126 - 563*k**6/90 - 39197*k**5/30 + 119285*k**4/18 - 239701*k**3/18 + 80089*k**2/6 - 2160*k. Factor u(c).
-(c - 1)**3*(c + 283)**2/3
Let s(n) be the first derivative of 163 + 1/9*n**6 + 0*n + 4/3*n**3 + 1/6*n**4 + 0*n**2 - 8/15*n**5. Solve s(i) = 0.
-1, 0, 2, 3
Factor -25*j + 0*j**3 + 27/2*j**2 - 1/2*j**4 + 12.
-(j - 4)*(j - 1)**2*(j + 6)/2
Find i such that -434838*i + 85184 + 140566*i - 97556*i**4 - 1012*i**3 + 27924*i**3 + 275616*i**2 = 0.
-2, 22/29
Let n be (-19 - -15)/((15/100)/((-11)/132)). Let 1/9*j**2 + 5/9*j**3 - 4/9 - n*j = 0. Calculate j.
-2, -1/5, 2
Suppose -3*j - 144 + 150 = 0. Let -179*d + 89*d + 2*d**3 + 92*d - 4*d**j = 0. Calculate d.
0, 1
Let l(g) be the first derivative of 9*g**5/4 + 87*g**4/8 + 13*g**3 - 3*g**2 - 2325. Factor l(b).
3*b*(b + 2)**2*(15*b - 2)/4
Let f(x) be the second derivative of -3*x**5/40 - 61*x**4/2 - 3721*x**3 + 497*x. Determine u, given that f(u) = 0.
-122, 0
Let v = -511737 - -511740. Factor 4/3*z**4 - 4*z**v + 4*z**2 + 0 - 4/3*z.
4*z*(z - 1)**3/3
Let x(h) = -h**3 + 4*h**2 + h + 7. Let u(q) be the third derivative of -q**3/6 + q**2 - 11*q. Let y(a) = -22*u(a) - 2*x(a). Factor y(c).
2*(c - 4)*(c - 1)*(c + 1)
Let -28*k**2 + 55*k**2 - 24*k**2 - 378*k = 0. What is k?
0, 126
Let v = 152 + -150. Let l(x) = -2*x**3 + 28*x**2 + 32*x + 46. Let c(f) = 3*f + 1. Let k(j) = v*l(j) + 44*c(j). Find g such that k(g) = 0.
-2, -1, 17
Suppose 6*m = 23 + 37. Factor 4*r - m - 68*r**2 + 11*r + 63*r**2.
-5*(r - 2)*(r - 1)
Let v = -455159/120 + 3793. Let r(b) be the second derivative of -1/72*b**4 + 1/12*b**2 + 0 - 1/36*b**3 - b + v*b**5. Factor r(m).
(m - 1)**2*(m + 1)/6
Let t = -50 - -52. Suppose -4*u = 3*y - 286, t*u + u - 462 = -5*y. Factor -y + 414 + 24*z**3 - 5*z**4 - 216*z + 4*z**4 - 3*z**4.
-4*(z - 3)**3*(z + 3)
Let a(c) be the first derivative of c**6/150 + c**5/100 - c**4/20 - c**3/6 - c**2/5 - 55*c + 25. Let p(g) be the first derivative of a(g). Factor p(k).
(k - 2)*(k + 1)**3/5
Let n(c) be the third derivative of -c**5/140 + 403*c**4/28 - 115*c**3/2 - 2*c**2 - 2*c + 44. Factor n(i).
-3*(i - 805)*(i - 1)/7
Let w = -916/13 - -506626/7189. Let i = 1258/553 + w. Factor 0*k**3 - 2/7*k**4 + 0*k + i*k**2 - 32/7.
-2*(k - 2)**2*(k + 2)**2/7
Solve -696/5 - 683/5*u**2 + 1502/5*u - 6/5*u**3 = 0 for u.
-116, 2/3, 3/2
Factor -2/3*z**3 - 46/3*z**2 + 0 + 72*z.
-2*z*(z - 4)*(z + 27)/3
Determine o, given that 38/15*o**2 - 4/3*o**5 - 8/5*o + 128/15*o**3 + 0 + 46/15*o**4 = 0.
-1, 0, 3/10, 4
Let v(u) be the first derivative of -2*u**5/5 + 3*u**4/2 + 32*u**3/3 + 12*u**2 + 1582. Determine n, given that v(n) = 0.
-2, -1, 0, 6
Let t(g) be the third derivative of g**7/420 + 3*g**6/10 + 13*g**5 + 338*g**4/3 + 9*g**3 - 4*g**2 - 3*g. Let c(j) be the first derivative of t(j). Factor c(r).
2*(r + 2)*(r + 26)**2
Let p(b) = -b**2 - 11*b + 2. Let t be p(-9). Suppose 102 = -17*c + t*c. Determine q so that q**2 + c*q**3 - 30*q**3 - 8*q + 3*q**2 = 0.
-2, 0, 1
Let z be (16 - (17 - 1))/(-2). Let h(w) be the first derivative of 17 - 2/15*w**5 - 16/9*w**3 - 5/6*w**4 + z*w - 4/3*w**2. Suppose h(f) = 0. Calculate f.
-2, -1, 0
Let j(w) be the third derivative of -w**7/105 - w**6/10 + 2*w**5/5 + 35*w**4/6 - 25*w**3 - 18*w**2 - 43. Find r such that j(r) = 0.
-5, 1, 3
Let k(q) be the second derivative of -25*q**4/18 + 19*q**3/2 + 7*q**2/3 + 86*q - 33. Factor k(s).
-(2*s - 7)*(25*s + 2)/3
Suppose 1514*u = 1509*u + 70. Let j be 77/u + 7 + -11. Determine l, given that 21/2*l**2 + 0*l + 0 - 12*l**3 + j*l**4 = 0.
0, 1, 7
Suppose 2/5*n**2 - 96/5 - 26/5*n = 0. Calculate n.
-3, 16
Let j(c) be the second derivative of c**5/20 + 7*c**4/12 - c**3/2 - 7*c - 4. Let m(k) = -k**3 - 3*k**2 + k. Let g(d) = 3*j(d) + 5*m(d). Factor g(r).
-2*r*(r - 2)*(r - 1)
Find h, given that -454/5*h**4 + 0 - 2116/5*h + 2*h**5 + 1002*h**3 + 3358/5*h**2 = 0.
-1, 0, 2/5, 23
Let x(r) be the first derivative of -r**6/14 + 24*r**5/7 - 12*r**4 + 34*r**3/7 + 339*r**2/14 - 222*r/7 + 6543. Find k, given that x(k) = 0.
-1, 1, 2, 37
Let v(i) be the second derivative of 0*i**3 + 35*i - 1/60*i**5 + 0*i**2 - 1 - 7/18*i**4. Factor v(m).
-m**2*(m + 14)/3
