-1, -1/4, 2
Let b(s) = s**3 + 48*s**2 + 446*s + 171. Let g be b(-12). Find u such that -u + 0 + 1/5*u**4 + u**g - 1/5*u**2 = 0.
-5, -1, 0, 1
Let t(n) be the first derivative of 2*n**4 - 41*n**3/3 - 43*n**2/2 + 6*n + 2158. Determine w, given that t(w) = 0.
-1, 1/8, 6
Let a(u) be the second derivative of 5*u**7/14 - 107*u**6/6 + 1039*u**5/4 - 7565*u**4/12 + 1445*u**3/3 + 380*u - 1. Solve a(b) = 0.
0, 2/3, 1, 17
Suppose 3 = -2*y + 3*y - 4*k, -5*y + 38 = 3*k. Factor -y*c - 334*c**2 + 21 + 29*c + 335*c**2.
(c + 1)*(c + 21)
Let m = -10/1463 + 1523/8778. Let 0 + 1/6*x**2 + m*x = 0. What is x?
-1, 0
Factor 88/5*y**2 + 130*y + 2/5*y**3 - 1500.
2*(y - 6)*(y + 25)**2/5
Let f(j) be the first derivative of -5*j**4/4 + 21*j**3 - 163*j**2/2 - 231*j - 5180. Factor f(d).
-(d - 7)*(d + 1)*(5*d - 33)
Let b(y) be the first derivative of -3*y**5 - 5*y**4/2 + 280*y**3/3 + 165*y**2 - 585*y + 1548. Solve b(w) = 0.
-3, 1, 13/3
Suppose -2*x - 2*x + 3*r + 22 = 0, 4*x - 2*r - 20 = 0. Let y(k) be the third derivative of 0 + 0*k + 0*k**3 + 1/16*k**x + 12*k**2 - 1/40*k**5. Factor y(i).
-3*i*(i - 1)/2
Suppose -196*k = -199*k + 129. Factor 59*d**2 - k*d**2 - 3*d**3 - 22*d**2.
-3*d**2*(d + 2)
Let o(i) = 3*i**2 - 18. Let m be o(-3). Let b be 3/6*2*3. Determine a, given that -b*a**2 + m*a**2 + a - 5*a**2 = 0.
-1, 0
Let k(n) = 2*n**3 + 15*n**2 + 2*n - 1. Let l(f) = -11*f**3 - 211*f**2 - 765*f - 1137. Let c(o) = 6*k(o) + l(o). Suppose c(x) = 0. What is x?
-3, 127
Let m(s) be the second derivative of s**5/35 + 13*s**4/7 - 16*s**3 - 3808*s**2 - 4758*s. Factor m(j).
4*(j - 17)*(j + 28)**2/7
Factor -18*h - 105/4*h**2 + 0 - 3/4*h**4 - 9*h**3.
-3*h*(h + 1)*(h + 3)*(h + 8)/4
Let j = 10147/3394755 - -2/10777. Let c(m) be the third derivative of 1/90*m**5 + 0 + 0*m + j*m**7 + 0*m**4 + 1/90*m**6 - 20*m**2 + 0*m**3. Factor c(o).
2*o**2*(o + 1)**2/3
Let q be (-6 + 2 - -4) + 1 + 2. Factor -4 + 14*r**4 - r**5 - r**2 - 15*r**4 + 6*r**4 - 91*r**3 + 8*r + 84*r**q.
-(r - 2)**2*(r - 1)**2*(r + 1)
Let i(g) = -g**2 - 2*g + 8. Let q(t) = t**2 + 4*t - 6. Suppose -7*c + 8*c = -b + 4, 0 = -2*c + b + 8. Let z(k) = c*q(k) + 5*i(k). Let z(n) = 0. What is n?
-2, 8
Let i be 8/(-22)*(-36938)/6716. Suppose 0 + 30/7*f - 3/7*f**4 - 18/7*f**3 - 9/7*f**i = 0. What is f?
-5, -2, 0, 1
Let o(f) = -21*f**3 - 135*f**2 - 460*f - 510. Let p(a) = 2*a**3 + a**2 - 3*a + 2. Let j(q) = 2*o(q) + 10*p(q). Factor j(h).
-2*(h + 5)**2*(11*h + 20)
Let a(h) be the first derivative of -1/12*h**2 + 226 + h**3 - 3*h + 1/24*h**4. Find x, given that a(x) = 0.
-18, -1, 1
Let k(x) be the third derivative of x**6/420 + 31*x**5/210 - 53*x**4/42 - 136*x**3/21 + 3*x**2 + 216*x. Factor k(q).
2*(q - 4)*(q + 1)*(q + 34)/7
Suppose 0 = -3*f - 3*d + 45, -4*f + 6*f - 4*d - 36 = 0. Solve 18 - f*k**2 - 4*k + 12*k**2 + 6 = 0.
-3, 2
Let r(l) be the second derivative of 5/6*l**3 + 0 - 47*l - 1/42*l**7 + l**2 + 1/6*l**4 - 1/5*l**5 - 2/15*l**6. Factor r(x).
-(x - 1)*(x + 1)**3*(x + 2)
Let z be (4224/4)/24 + -32. Factor 3/4*x**3 + 0*x**2 + 0 - z*x.
3*x*(x - 4)*(x + 4)/4
Let d(q) be the third derivative of q**5/30 + 331*q**4/6 + 109561*q**3/3 + 5*q**2 + 192*q. Factor d(y).
2*(y + 331)**2
Let y = -31/3849 - -762319/26943. Solve -360/7*s**2 + 24/7*s**3 + 96/7*s + 0 + y*s**4 + 6*s**5 = 0 for s.
-4, -2, 0, 2/7, 1
Let c(z) be the second derivative of -z**5/10 + 10*z**4 + 613*z**3/3 + 552*z**2 - 1639*z. Factor c(p).
-2*(p - 69)*(p + 1)*(p + 8)
Factor 5/2*b**2 + 975/2*b + 0.
5*b*(b + 195)/2
Let n = -29/6 + 157/30. Suppose 0 - n*s**5 + 2/5*s**2 + 6/5*s**3 - 4/5*s - 2/5*s**4 = 0. What is s?
-2, -1, 0, 1
Suppose 0 = -2*b + 3*f, -b + 4 = -2*f + 5. Factor 2*o**4 + 2*o**5 + 8*o**b - 38*o - 16*o**3 + 52*o**2 - 16*o**3 - 4*o**3 + 10.
2*(o - 1)**4*(o + 5)
Let h(g) be the third derivative of 8*g**7/105 + 277*g**6/30 + 3127*g**5/10 - 1820*g**4/3 + 1225*g**3/3 - 1161*g**2 + 1. Suppose h(o) = 0. What is o?
-35, 1/4, 1/2
Let n be 725/180 - 27/108. Let -56/9*j**2 - n*j - 4/9 - 26/9*j**3 = 0. Calculate j.
-1, -2/13
Let n(y) = -y**3 + 4*y + 2. Let a be n(-2). Factor -80*m + 156*m**a + 144 + 153*m**2 - 305*m**2.
4*(m - 18)*(m - 2)
Suppose 69*t + 66 = 72*t. Factor 25*w**4 - 48 + 24*w**3 + 45*w**2 - t*w**4 - 36*w + 12*w.
3*(w - 1)*(w + 1)*(w + 4)**2
Let y(p) be the first derivative of 0*p**3 - 20 - 11*p + 1/6*p**2 - 1/36*p**4. Let t(o) be the first derivative of y(o). Factor t(j).
-(j - 1)*(j + 1)/3
Suppose 9*z = -3834 - 1386. Let u = z + 584. Solve -1/3*i**5 + 0 - i**3 + 0*i + i**u + 1/3*i**2 = 0 for i.
0, 1
Let o(z) be the third derivative of -z**5/36 + 167*z**4/8 + 301*z**3/9 - 73*z**2 - 3*z. Find p, given that o(p) = 0.
-2/5, 301
Let y = 56541 - 56533. Factor 2/3*x**4 + 40/3*x - 4/3*x**3 - 14/3*x**2 - y.
2*(x - 2)**2*(x - 1)*(x + 3)/3
Let -33/2*g + 0 + 63/2*g**2 = 0. What is g?
0, 11/21
Let c(s) = 3*s + 30. Let t be c(5). Solve -39*k + 45 + 3*k**3 + 0*k**3 + 36*k - t*k**2 = 0.
-1, 1, 15
Let a(x) = 6*x**2 + 447*x + 1533. Let h be a(-71). Suppose -h*b + 25/4*b**3 - 1/4*b**2 + 1/4*b**4 - 1/4*b**5 - 36 = 0. What is b?
-3, -1, 4
Let y = 4/7265 + 8412562/559405. Let v = 178/11 - y. Let -16/7 - v*p + p**2 - 1/7*p**3 = 0. What is p?
-1, 4
Let m be ((-22)/(-231))/(-2 + 59/28). Let i be ((-32)/108)/(2*4/(-12)). Suppose -4/9*s**4 + m*s**2 + 10/9*s**5 + 10/9*s - i - 20/9*s**3 = 0. Calculate s.
-1, 2/5, 1
Let j(o) = 4*o**3 + 22*o**2 - 291*o + 877. Let p(r) = 3*r**3 + 24*r**2 - 293*r + 878. Let u(z) = -4*j(z) + 5*p(z). Factor u(i).
-(i - 18)*(i - 7)**2
Suppose -z = -3*x + 6*x - 14, x - 112 = -5*z. Suppose -2*p + 16 = 5*w - 10, -z = -2*w - 5*p. Solve y**w + 0*y**3 - 2*y**3 - 5*y**4 + 6*y**4 = 0 for y.
0, 1
Factor -308*m + 85*m**4 + 32 - 96*m**3 + 415*m**2 + 44 - 96*m**3 - 76*m**4.
(m - 19)*(m - 1)*(3*m - 2)**2
Let q(h) be the first derivative of 2*h**5/45 - 7*h**4/18 + 1353. Find j, given that q(j) = 0.
0, 7
Factor -4*y**2 - 2924*y - 1018125 - 4*y**2 + 6*y**2 - 50597.
-2*(y + 731)**2
Let b(k) be the first derivative of -1/12*k**3 + 1/4*k**5 + 0*k + 1/4*k**4 - 20 + 0*k**2. Factor b(j).
j**2*(j + 1)*(5*j - 1)/4
Let g(d) = -7*d**4 + 7*d**3 - 19*d**2 - 11*d + 106. Let k(l) = 4*l**4 - 3*l**3 - l**2 + l + 1. Let a(r) = -g(r) - 2*k(r). Factor a(c).
-(c - 3)**2*(c + 3)*(c + 4)
Let d = 817 - 814. Let b(i) be the first derivative of 1/3*i**d + 0*i + 23 + 1/2*i**2 + 1/16*i**4. Suppose b(t) = 0. What is t?
-2, 0
Suppose 0 = 5*h - 18 + 3. Let p = 1 + h. Find f such that 60 - 68 + 13*f - p*f**2 - f = 0.
1, 2
Find k, given that -150*k + 207*k - 116*k - 51*k**4 - 79*k + 2316*k**3 - 54*k**4 + 2283*k**2 = 0.
-1, 0, 2/35, 23
Suppose -2228 = 2*j + 4*v + 2640, -3*v + 7311 = -3*j. Let u be -3 - (-10 + 3) - j. Solve -2440*c - 4*c**2 + u*c = 0.
0
Factor 30*s + 1/6*s**2 - 368/3.
(s - 4)*(s + 184)/6
Let b(t) be the first derivative of -25/2*t**6 - 4638*t**4 + 2352*t + 9496*t**3 + 163 + 447*t**5 - 7224*t**2. Solve b(y) = 0 for y.
2/5, 1, 14
Let s be ((403/(-884))/31)/(43/(-344)). Solve -s*w**3 - 40/17*w**2 - 154/17*w + 484/17 = 0 for w.
-11, 2
Suppose -2/7*k**5 - 62/7*k - 8/7*k**4 - 20 + 148/7*k**2 + 64/7*k**3 = 0. Calculate k.
-7, -2, -1, 1, 5
Let i(k) be the first derivative of 2*k**3/21 - 201*k**2/7 + 796*k/7 - 5463. Let i(l) = 0. Calculate l.
2, 199
Let a(w) be the second derivative of -1/7*w**2 + 1/70*w**5 + 1/42*w**4 - 1/21*w**3 - 5*w + 0. Factor a(l).
2*(l - 1)*(l + 1)**2/7
Determine w so that 2/5*w + 71/5*w**2 + 15*w**4 + 0 - 148/5*w**3 = 0.
-2/75, 0, 1
Let z(x) be the third derivative of -2*x**7/735 + 11*x**6/210 - 38*x**5/105 + 20*x**4/21 + 1094*x**2. Determine p, given that z(p) = 0.
0, 2, 4, 5
Let t(j) be the third derivative of -j**6/80 - 399*j**5/40 + 25*j**4 - 871*j**2 - 2. Suppose t(r) = 0. What is r?
-400, 0, 1
Let z(u) = 147*u + 18. Let j be z(-2). Let i = j - -276. Let i - 12/7*w**3 + 12/7*w**2 - 3/7*w**4 + 3/7*w**5 + 0*w = 0. Calculate w.
-2, 0, 1, 2
Let z(x) be the first derivative of 5*x**4/4 + 105*x**3 + 1195*x**2/2 + 885*x - 2451. Let z(v) = 0. Calculate v.
-59, -3, -1
Factor 192/5*a + 6*a**2 + 32 - 2/5*a**3.
-2*(a - 20)*(a + 1)*(a + 4)/5
Let g(n) be the first derivative of 25*n**4/3 + 280*n**3 - 344*n**2 + 416*n/3 - 1897. Determine p, given that g(p) = 0.
-26, 2/5
Let f(l) be the third derivative of -108/7*l**3 - 1/210*l**5 + 0*l + 3/7*l**4 + 2 + 30*l**2. Determine c, given that f(c) = 0.
18
Let