 s.
-1, 0, 1
What is u in 0*u**2 - 34*u - 2*u**2 + 33*u + 96 + 6*u**2 + 45*u = 0?
-8, -3
Let a(s) be the third derivative of s**5/480 - 139*s**4/192 - 35*s**3/12 - 380*s**2. Factor a(f).
(f - 140)*(f + 1)/8
Let p(w) = -48*w**2 - 2354*w + 7620. Let n(j) = 10*j**2 + 469*j - 1524. Let y(h) = 14*n(h) + 3*p(h). Determine m, given that y(m) = 0.
-127, 3
Let n(q) = -q**2 - 10*q - 17. Let o be n(-4). Solve 10*d**4 - 84*d**2 - 11*d**3 + 28*d**4 + 39*d**4 + 36*d + 25*d**5 - o*d**4 = 0.
-2, 0, 3/5
Suppose 3*x + 7*y = 6*y + 15, -3*y + 13 = x. Let a be 29/(-11) - (3 - (2 + x)). Factor -2/11*p - a*p**4 + 0*p**3 + 4/11*p**2 + 2/11*p**5 + 0.
2*p*(p - 1)**3*(p + 1)/11
Suppose 265*m = 1418 - 93. Solve 0*o**2 - 2/11*o**m + 0 - 6/11*o**4 + 0*o - 4/11*o**3 = 0.
-2, -1, 0
Let h(b) = b**2 + 3674*b + 3381779. Let o(c) = 2*c + 71. Let s(n) = 5*h(n) + 10*o(n). Solve s(x) = 0.
-1839
Solve -17904/7*m**2 - 60492/7 - 78952/7*m + 552/7*m**3 - 4/7*m**4 = 0.
-3, -1, 71
Let c(p) = p**2 + p + 1. Let z(f) be the second derivative of f**4/4 + 25*f**3/6 + f**2/2 + 51*f - 1. Let s(b) = -2*c(b) + 2*z(b). Determine q so that s(q) = 0.
-12, 0
Let w(u) be the first derivative of u**5/5 - 42*u**4/5 - 2143*u**3/15 - 633*u**2 - 440*u - 2589. What is n in w(n) = 0?
-5, -2/5, 44
Let q(i) = -2*i - 24. Let d be q(-16). Suppose d = 62*c - 116. Let 38/7*n + 22/7*n**c + 2/7*n**3 + 18/7 = 0. What is n?
-9, -1
Let a(t) be the first derivative of t**4/44 - 9*t**3/11 + 135*t**2/22 + 675*t/11 - 464. Factor a(y).
(y - 15)**2*(y + 3)/11
Let k(o) be the first derivative of -3*o**4/4 - 24*o**3 + 6*o**2 + 288*o - 620. Find v such that k(v) = 0.
-24, -2, 2
Let h = 949 - 946. Suppose -3 = -b - 1. Let -450*f**b - 179*f + 625*f**4 + f - 191*f + 109*f - 40 + 125*f**h = 0. Calculate f.
-2/5, 1
Let a(q) be the third derivative of q**5/12 - 1105*q**4/4 + 732615*q**3/2 + 265*q**2 + 2. What is n in a(n) = 0?
663
Let d(s) be the second derivative of 1/3*s**3 + s**2 + 0*s**4 + 0 - 1/30*s**5 + 13*s. Let m(q) be the first derivative of d(q). Solve m(o) = 0 for o.
-1, 1
Let b(w) be the first derivative of -3*w**4/4 + 369*w**3 + 3*w**2/2 - 1107*w - 2654. Factor b(l).
-3*(l - 369)*(l - 1)*(l + 1)
Let m be ((-5)/2)/(7/(-14)). Suppose 8 = m*i - 7. What is c in -4 + c**4 + 26*c**3 + 8*c - 34*c**i + 3*c**4 = 0?
-1, 1
Let l be ((-2016)/(-1056))/(8/22). Suppose 0 = -h - n, h = 6*h - n - 18. Factor -9*j - l*j**2 + h.
-3*(j + 2)*(7*j - 2)/4
Let c(q) be the third derivative of 1/36*q**4 + 0 + 0*q + 77*q**2 + 1/270*q**5 + 2/27*q**3. Solve c(g) = 0 for g.
-2, -1
Factor -76/13*u**2 - 242/13*u + 2/13*u**3 - 164/13.
2*(u - 41)*(u + 1)*(u + 2)/13
Let h(t) be the first derivative of 9*t**4/4 + 6*t**3 - 7*t**2/2 - 15. Let d(p) = 5*p**3 + 10*p**2 - 3*p. Let i(v) = 5*d(v) - 3*h(v). Factor i(w).
-2*w*(w - 1)*(w + 3)
Factor 7*r - 230 + 5*r**2 - 79*r - 460 - 13*r.
5*(r - 23)*(r + 6)
Let j(d) be the third derivative of d**8/2240 - d**7/210 + d**6/80 + 3*d**4/4 + 11*d**2 - 1. Let h(n) be the second derivative of j(n). Factor h(z).
3*z*(z - 3)*(z - 1)
Find w such that 1/5*w**3 - 1/5*w - 13/5*w**2 + 13/5 = 0.
-1, 1, 13
Let r(i) = 6*i - 41. Let g be r(9). Suppose 2*d**2 - 10*d + 338 - 29*d - g*d = 0. What is d?
13
Suppose 5*w = 2*h + 698, -2*w - 572 = -6*w + 5*h. Let q = w - 136. Factor 2/21*z**q + 2/21*z**3 + 0*z + 0.
2*z**2*(z + 1)/21
Let y = -1096301/10 - -219261/2. Factor 4 + y*q**2 - 14/5*q.
2*(q - 5)*(q - 2)/5
Let a be 2/4*0/(-163). Factor 94/7*m**2 + 4*m + a - 2*m**3.
-2*m*(m - 7)*(7*m + 2)/7
Solve 6*k**3 + 40/7*k**2 + 0 - 2/7*k**5 + 0*k**4 + 0*k = 0 for k.
-4, -1, 0, 5
Suppose 1611*f + 3/4*f**2 + 865107 = 0. What is f?
-1074
Let -2/9*n**5 - 412/9*n**2 - 58/3*n + 0 - 68/9*n**4 - 304/9*n**3 = 0. What is n?
-29, -3, -1, 0
Let o = 156542/32615 - -2/6523. Let f = 25 - 21. Factor -o*k + 72/5 + 4/5*k**3 - 22/5*k**2 + 2/5*k**f.
2*(k - 2)**2*(k + 3)**2/5
Factor 92 + 4*r**2 + 0*r**2 - 244*r - 195 - 145.
4*(r - 62)*(r + 1)
What is t in -1038*t + 179574 + 3/2*t**2 = 0?
346
Let t = -117 - -119. Let m = -22459/7 - -3209. Factor 0*g**t - m + 6/7*g - 2/7*g**3.
-2*(g - 1)**2*(g + 2)/7
Let v(m) be the second derivative of m**6/15 - 49*m**5/10 + 47*m**4/3 + 6469*m. Solve v(i) = 0.
0, 2, 47
Let j(k) = 3*k**3 + 426*k**2 + 879*k + 441. Let s(u) = -7*u**3 - 1281*u**2 - 2637*u - 1323. Let o(x) = 8*j(x) + 3*s(x). Factor o(v).
3*(v - 147)*(v + 1)**2
Let y be (-2)/4*295/(-44250). Let d(s) be the third derivative of 0*s**4 + 0*s**7 + 0*s - 1/3360*s**8 + 0*s**3 + 1/400*s**6 - y*s**5 + 0 + 11*s**2. Factor d(a).
-a**2*(a - 1)**2*(a + 2)/10
Let f be (2 - 21/9) + (-208)/78. Let r(y) = -2*y**2 - 9*y - 13. Let q(c) = -c**2 - 11*c - 14. Let b(l) = f*q(l) + 2*r(l). Factor b(i).
-(i - 16)*(i + 1)
Suppose 0 = -y - 3*y + 3*a + 15, -5*y + 11 = 4*a. Let w be (51/1071)/(y/(-108)*-2). Factor 8/7 - w*x**2 + 0*x + 2/7*x**3.
2*(x - 2)**2*(x + 1)/7
Let u(m) = -3*m - 130 + 131 + 2*m + m**2. Let y(p) = -2*p**2 + 3*p - 1. Suppose 0 = 2*q - 2*c + 2, 3*q - 43 = -5*c - 6. Let h(k) = q*y(k) + 4*u(k). Factor h(w).
-4*w*(w - 2)
Find m, given that 44*m - 34*m - 3*m**2 + 8 - 20*m = 0.
-4, 2/3
Suppose -5*t + 3 - 21 = -2*g, 2*g + 4*t - 54 = 0. Suppose -25*b = -g*b + 30*b. Factor b + 0*h**2 + 5*h**4 - 10/3*h**3 + 0*h.
5*h**3*(3*h - 2)/3
Let f(l) = l**3 + 7*l**2 + 7*l + 1. Let s be f(-7). Let y be ((-63)/4)/((-9)/s*-2). Find c, given that -5*c**2 + 5*c**3 + 0*c**2 + 37*c + 5*c**4 - y*c = 0.
-1, 0, 1
Let y(m) = m**2 - 12*m - 4. Let c(z) be the third derivative of z**5/20 - 17*z**4/12 - 11*z**3/6 + z**2 - 26. Let w(x) = 4*c(x) - 11*y(x). Factor w(q).
q*(q - 4)
Let -3*b**5 + 45 - 47*b**4 - 10/3*b**3 + 418*b**2 + 273*b = 0. Calculate b.
-15, -3, -1/3, 3
Let g = -2/15843 + -469997/95058. Let f = -4/9 - g. Suppose f*o**3 + 7/2*o**4 - 13*o**2 - 18*o - 4 = 0. What is o?
-2, -1, -2/7, 2
Let m = 539 + -533. Factor -5*p**2 + 11*p**2 + m*p**3 - 2*p**2 + 7*p**2 - 3*p**2 + 2*p.
2*p*(p + 1)*(3*p + 1)
Let s = 114 - 110. Let j be (-1)/2 - 2233/(-770). Find y, given that -24/5 - j*y + 3*y**3 + 18/5*y**2 + 3/5*y**s = 0.
-2, 1
Let a(s) be the first derivative of -5*s**4 - 128*s**3/3 - 74*s**2 - 40*s + 3925. Factor a(p).
-4*(p + 1)*(p + 5)*(5*p + 2)
Let k(s) be the first derivative of s**5/20 - s**4 - 13*s**3/6 + 90*s + 76. Let a(q) be the first derivative of k(q). Solve a(o) = 0 for o.
-1, 0, 13
Let 808 + 412*m - 667*m**2 + 467*m**2 + 40*m**3 - 604*m**2 - 15*m**4 + 11*m**4 - 452*m**3 = 0. Calculate m.
-101, -2, -1, 1
Suppose -4*w + 16 = -f, -2*w = -5*f + 10*f - 8. Let y(m) be the second derivative of -17*m + f + 4*m**3 + 27/2*m**2 - 1/4*m**4. Factor y(o).
-3*(o - 9)*(o + 1)
Let y(s) be the third derivative of 0*s + 8*s**2 + 2/105*s**7 + 0*s**3 + 4/15*s**6 + 7/5*s**5 + 3*s**4 + 5. Solve y(h) = 0.
-3, -2, 0
Let n(f) be the second derivative of -f**4/72 + 23*f**3/4 - 51*f**2 - 8185*f. Factor n(s).
-(s - 204)*(s - 3)/6
Let v(q) be the third derivative of 28*q**2 - 125/24*q**4 - q - 1/24*q**6 - 5/6*q**5 + 0 + 0*q**3. Factor v(o).
-5*o*(o + 5)**2
Let q(l) be the first derivative of 1/60*l**5 + 0*l**3 - 51 - 5/12*l**4 + 0*l + 12*l**2. Let r(u) be the second derivative of q(u). Factor r(s).
s*(s - 10)
Suppose 0 = -3*q + 4*q - 4*l + 21, 3*q - 17 = -4*l. Let x(k) = -8*k + 1. Let r be x(q). Let 17*j**3 + 18*j - 4*j**5 - 22*j - r*j**3 = 0. What is j?
-1, 0, 1
Let o = -640/7 - -92. Suppose -c - 46 = c - 46. Factor c*t - 6/7*t**3 + 0 + o*t**2.
-2*t**2*(3*t - 2)/7
Let u be 34/16 + -4 + (4 - (-18 + 16)). Factor u*y - 9/4*y**2 - 9/4 + 3/8*y**3.
3*(y - 3)*(y - 2)*(y - 1)/8
Suppose -955*l**2 + 1500 - 1311933*l**3 - 2995*l + 2445*l**2 + 1311938*l**3 = 0. What is l?
-300, 1
Let n = 444599/277875 + 1/277875. Determine i so that 0 + 32/5*i**2 + 0*i + n*i**3 - 4/5*i**4 = 0.
-2, 0, 4
Let d = 60 + -61. Let m be (66/88)/(d/(-8)*2). Suppose -25*j**2 + 81*j**2 - 26*j**2 - 27*j**2 - m*j = 0. What is j?
0, 1
Let q(c) = c - 5. Let u(f) = -f + 1. Let p(v) = q(v) - 2*u(v). Let a be p(3). Determine k so that -8*k**5 + 2*k**4 + 24*k**5 - 15*k**5 - 2*k**a - k = 0.
-1, 0, 1
Suppose 22*z**5 - 7*z**5 + 120*z - 10*z**5 + 61*z**3 + 4*z**3 - 10*z**5 - 190*z**2 + 10*z**4 = 0. Calculate z.
-4, 0, 1, 2, 3
Let g(h) = h**4 + 3*h - 2. Let m(d) = 16*d**4 + 84*d**3 + 1160*d**2 + 5718*d + 4570. Let v(j) = 14*g(j) - m(j). Solve v(s) = 0.
-19, -11, -1
Let l(u) = -1935*u