*w**3.
2*w*(w - 1)*(w + 1)*(w + 4)/7
Let g(a) = -2*a + 153. Let w be g(0). Suppose -2*p = p - w. Solve 63*n**4 - p*n**2 - 21*n**3 + 26*n - 12 - 3*n - 27*n**5 + 25*n = 0 for n.
-1, 2/3, 1
Let 49 + 13270*x**2 + 35*x**3 + 4*x + 3*x**4 - 13368*x**2 + 7 = 0. What is x?
-14, -2/3, 1, 2
Let d(m) be the first derivative of 5/3*m**3 + 54 + 110*m - 115/2*m**2. Factor d(f).
5*(f - 22)*(f - 1)
Determine m so that 5*m + 238 - 56*m**2 - 17*m**3 + 2*m**4 + 31 - 203 = 0.
-2, -3/2, 1, 11
Let g = -232499683/32895 + 1216181/172. Let b = g + 1/340. Find u, given that 8/3*u - 2/9*u**4 - 8/9 + 4/3*u**3 - b*u**2 = 0.
1, 2
Let v(x) = 45*x**3 - 1520*x**2 + 14210*x + 55. Let o(i) = 5*i**3 - 169*i**2 + 1566*i + 6. Let n(w) = 55*o(w) - 6*v(w). What is j in n(j) = 0?
0, 6, 29
Let o = 482 - -947. Let t = o - 12857/9. Find f, given that 4/9*f**2 - t*f**4 + 0*f - 14/9*f**5 + 14/9*f**3 + 0 = 0.
-1, -2/7, 0, 1
Let y(i) be the third derivative of -i**7/1890 - i**6/54 - 101*i**5/540 - 65*i**4/108 - 9*i**2 + 30*i. Factor y(t).
-t*(t + 2)*(t + 5)*(t + 13)/9
Let d(i) = -i**3 + 8*i**2 + 12*i - 12. Let g be d(9). Let r be (-6)/2*13/(-13). Find c, given that 0*c**2 + r - 15*c + 5*c**4 - 13 + 5*c**2 + g*c**3 = 0.
-2, -1, 1
Let t(a) be the third derivative of 5/8*a**4 - 1/6*a**5 - 26*a**2 + 0*a**3 + 0*a - 1/6*a**6 + 1/21*a**7 + 5/336*a**8 + 5. Suppose t(c) = 0. What is c?
-3, -1, 0, 1
Let t(l) = -l**3 + 10*l + 16. Let j be t(-2). Suppose 20 = 5*i, 3*v - 18 = -i - 2*i. What is k in 5*k**4 - 8*k**j + 2*k**2 + 3*k**3 + 2*k**2 + v*k**2 = 0?
-1, 0, 2
Let s = 207 - 196. Suppose -7*y = s*y - y. Let 15/2*l**3 - 5/4*l + y + 25/4*l**2 = 0. Calculate l.
-1, 0, 1/6
Determine t so that -584*t**3 + 16*t**5 + 568*t - 112*t**2 - 991*t**4 + 963*t**4 + 18 + 122 = 0.
-5, -1, -1/4, 1, 7
Suppose -17*t + 1632 = 1581. Let -56/17*f**2 - 8/17*f - 98/17*f**t + 0 = 0. What is f?
-2/7, 0
Let f be 47/(517/6) + (-12)/22. Let x(q) be the first derivative of f*q - 2/3*q**3 + 0*q**2 + 2 - 1/2*q**4. Factor x(k).
-2*k**2*(k + 1)
Suppose -288*q**3 - 280*q**4 + 247*q + 37*q + 280*q**2 + 22714*q**5 - 22710*q**5 = 0. Calculate q.
-1, 0, 1, 71
Let l(t) be the third derivative of -t**8/2856 - 31*t**7/1785 - 89*t**6/510 + 589*t**5/255 + 163*t**4/12 + 85*t**3/3 + 5898*t**2. Suppose l(m) = 0. Calculate m.
-17, -1, 5
Let n = -784416 - -784419. Factor 0*q + 2/3*q**n + 6*q**2 + 0.
2*q**2*(q + 9)/3
Let q(k) be the first derivative of -k**6/48 - 11*k**5/20 + 39*k**4/16 + 8*k**3/3 - 269*k**2/16 + 75*k/4 + 8. Let q(t) = 0. Calculate t.
-25, -2, 1, 3
Let c(q) = -q**2 - 1. Let b(j) = -2*j**2 + 42*j - 81. Let h(t) = b(t) - c(t). Let i(f) = 3*f**2 - 211*f + 400. Let w(d) = -11*h(d) - 2*i(d). Factor w(n).
5*(n - 4)**2
Let y(g) = -g - 1. Let l(v) = -48*v - 30. Let d(b) = -l(b) + 36*y(b). Let x be d(7). What is j in 9*j**4 - 6 - 9*j + 9*j**2 - 143*j**3 + 86*j**3 + x*j**3 = 0?
-1, 2/3
What is r in 454/5*r**3 - 8/5*r**5 + 112/5 - 284/5*r - 158/5*r**2 + 208/5*r**4 = 0?
-2, -1, 1/2, 28
Let o(f) = -16*f**2 + 39*f + 27. Let n be o(3). Solve -9/4*s + 1/4*s**3 + n + 0*s**2 = 0.
-3, 0, 3
Factor -37*v - 75*v**2 + 3*v**3 + 34*v - 29*v - 42*v - 4*v**3.
-v*(v + 1)*(v + 74)
Let -265*w**2 - w**3 + 1116*w**2 + 1406*w + 853 + 112*w + 187*w = 0. Calculate w.
-1, 853
Let m(s) be the second derivative of s**6/6 - 3*s**5/4 - 25*s**4/4 - 85*s**3/6 - 15*s**2 + 3*s - 96. Factor m(j).
5*(j - 6)*(j + 1)**3
Let m(g) be the first derivative of g**4/16 - 73*g**3/3 - 285. Factor m(s).
s**2*(s - 292)/4
Let h(w) be the second derivative of w**4/3 + 8*w**3 + 25*w**2 - 61*w. Let n(j) = -12*j**2 - 144*j - 148. Let m(t) = 8*h(t) + 3*n(t). Find z such that m(z) = 0.
-11, -1
Let o = 13429/37 - 67108/185. Factor 4/5*m**2 + 1/5*m - 6/5 + o*m**3.
(m - 1)*(m + 2)*(m + 3)/5
Factor 3244*n**2 + 136 - 135*n + 341*n + n**3 - 3173*n**2.
(n + 1)*(n + 2)*(n + 68)
What is s in 42 + 2*s**3 - 11 - 1500*s**2 + 1468*s**2 - 3 + 26*s + 32 = 0?
-1, 2, 15
Let k(z) = -4*z + 26. Let m be k(6). Find o, given that 33 - 5 - 67*o**2 + 32*o + 71*o**m = 0.
-7, -1
Let t = 9767 + -9764. Let z(x) be the third derivative of -13*x**2 + 1/21*x**t + 0 - 1/210*x**5 - 1/84*x**4 + 1/420*x**6 + 0*x. Determine g so that z(g) = 0.
-1, 1
Suppose 4*i + 27 - 33 = -o, 5*i + 4*o - 24 = 0. Solve 3/4*f**5 + 39/4*f**3 - 9*f**2 + 3*f - 9/2*f**4 + i = 0 for f.
0, 1, 2
Suppose -10*q - 2578 + 1678 = 0. Let o be -6 + ((-98)/(-12) - q/(-60)). Find v such that -10/3*v - 4 - o*v**2 = 0.
-3, -2
Solve 19*j**3 - 9 - 5*j**4 - 34*j**2 + 1/2*j**5 + 57/2*j = 0.
1, 2, 3
Suppose 4*l - 7*l + 334 = -q, -5*l - 5*q = -530. Find v such that l*v**2 + 11 - 33*v - 107*v**2 + 59 + 2 = 0.
3, 8
Let u be 8*(-81)/(-78) + -46 + (11 - -27). Suppose u*s**5 - 38/13*s**4 - 50/13 + 88/13*s**2 - 80/13*s + 76/13*s**3 = 0. What is s?
-1, -1/2, 1, 5
Let w(c) = 4*c - 103. Let o be w(27). Let x(t) = 14*t**2 - 514*t + 15876. Let l(f) = -8*f**2 + 258*f - 7938. Let q(b) = o*l(b) + 3*x(b). Factor q(d).
2*(d - 63)**2
Determine x so that 56/13 - 18*x**4 + 562/13*x**3 - 422/13*x**2 + 24/13*x + 14/13*x**5 = 0.
-2/7, 1, 14
Factor -28824 + 1350945*b**4 + 246*b**3 + 6636 - 21156*b - 4527*b**2 - 1350948*b**4.
-3*(b - 43)**2*(b + 2)**2
Let 324*j**2 - 126*j - 597*j + 847*j**2 - 749*j - 328 - 10*j**3 - 333*j**2 = 0. What is j?
-1/5, 2, 82
Let a be 11 + ((-4)/4 - -6). Suppose -a = -3*m - 4*r, -4*m - 3*r = -3*m - 7. Factor -392*n + 2*n**m + 380*n + 4*n**4 + 16*n**3 - 10*n**2.
2*n*(n - 1)*(n + 3)*(3*n + 2)
Let m be 8 + 46/(-6) + -33*(-8)/72. Factor 0 + 0*g**2 + 0*g + 4/5*g**m + 8*g**3.
4*g**3*(g + 10)/5
Let c be 371/(-231)*-3 - 15/(1320/(-16)). Solve 7/2*h**2 + 1/2*h**5 - 11/2*h**3 + c*h - 4 + 1/2*h**4 = 0.
-4, -1, 1, 2
Let b(l) be the third derivative of -l**5/6 - 38*l**4/15 - 4*l**3/5 - 9*l**2 + 70*l. What is x in b(x) = 0?
-6, -2/25
Let t(w) = 16*w**2 - 12*w - 35. Let y be t(-9). Let a = 2741/2 - y. Factor a*h**2 - h - 1/2*h**3 + 0.
-h*(h - 2)*(h - 1)/2
Let u = -33532 - -98900/3. Let f = 567 + u. Suppose -25/3*t**4 - 15*t**2 - f*t + 65/3*t**3 + 10/3 = 0. What is t?
-2/5, 1
Let g(p) = -9*p**3 - 12*p**2 + 48*p + 204. Let k = 310 - 309. Let f(z) = -z**3 + 2. Let j(n) = k*g(n) - 6*f(n). Factor j(d).
-3*(d - 4)*(d + 4)**2
Let o(u) = -u**3 - 11*u**2 + 10*u - 24. Let a be o(-13). What is t in -2*t**2 - 24 + a*t**3 - 5*t**2 + 4*t**2 - 6*t**2 + 38*t - 189*t**3 = 0?
-4, 1, 6/5
Let n be ((-56)/(-40))/((-154)/(-220)). Let k be (-4)/(-20) - 38/(-10). Find u such that k*u - 2/3*u**n + 0 = 0.
0, 6
Let m(x) be the third derivative of 13/276*x**4 - 33*x + 0 + x**2 - 1/690*x**5 + 0*x**3. Find c such that m(c) = 0.
0, 13
Let n be 259*(5/21)/((-2150)/(-645)). Factor -n*r - 1/2*r**2 + 0.
-r*(r + 37)/2
Suppose -4*x - 4*d = 20, -7*d - 41 = -236*x + 240*x. Factor -19/8*k - 5/2 + 1/8*k**x.
(k - 20)*(k + 1)/8
Let s be (-4048)/(-3960) - (-4)/(-18). Factor 384/5*d + 576/5 - 32/5*d**2 + s*d**4 - 32/5*d**3.
4*(d - 6)**2*(d + 2)**2/5
Let q(c) = -2*c**4 + c**3 + c - 7. Let s(y) = 5*y**4 - 9*y**3 + 15*y**2 - 11*y + 14. Let a(j) = -2*q(j) - s(j). Let a(i) = 0. Calculate i.
0, 1, 3
Let j(n) be the first derivative of -2*n**6/3 - 12*n**5/5 + 16*n**3/3 - 2234. Factor j(i).
-4*i**2*(i - 1)*(i + 2)**2
Let n = -124 + 129. Factor n*p**3 - 11*p**3 - 44*p + 34*p**2 - 18 + 2*p.
-2*(p - 3)**2*(3*p + 1)
Let g(m) be the second derivative of 4*m**5/5 + 73*m**4/3 + 170*m**3/3 - 4225*m. Factor g(r).
4*r*(r + 17)*(4*r + 5)
Factor -86*s**3 + 635*s - 37544 - 1235*s + 85*s**3 + 10*s**2 - 2820*s - 112*s**2.
-(s + 26)*(s + 38)**2
Let c = 186 + -183. What is j in -198*j**2 + 6*j**c + 166*j**2 - 9*j - 2*j**3 + 37*j = 0?
0, 1, 7
Suppose -5*y + 4*j + 7 = 0, -2*y + y + 1 = -j. Let f be (-3 + 17/5)/((-45)/(-75)). Find i such that -1/3*i**2 - i**y - f*i**4 + 0 + 0*i = 0.
-1, -1/2, 0
Find f such that -17*f**3 + 1407*f + 200*f**2 - 68*f**2 + 20*f**3 + 4410 = 0.
-30, -7
Let v(j) be the first derivative of -4/3*j**2 + 1/3*j**5 + 4/3*j - j**3 + 2/3*j**4 - 225. Find a such that v(a) = 0.
-2, -1, 2/5, 1
Suppose -238 = -3*f + 22*f - 276. Let l(n) be the first derivative of -1/10*n - 1/30*n**3 - 39 - 1/10*n**f. Suppose l(k) = 0. What is k?
-1
Suppose 55 = 4*c - 53. Suppose c = 9*y - 0*y. Let -k**3 - 7*k**y + 8 - 12*k - 2*k**3 + 14*k**3 = 0. Calculate k.
-2, 1
Let h be (-1*65)/(-7*(-1)/21). Let s be (-130)/h + (7 - 1) + 0. Factor -s*i**2 - 2/3*i**3 - 1