. Suppose -13 + 3 + 18*s + 5*s**2 - m*s = 0. What is s?
-1, 2
Factor 127/5*b - 6/5*b**2 - 1/5*b**3 - 24.
-(b - 8)*(b - 1)*(b + 15)/5
Let u be 4*2/(-16)*0. Suppose 4*v - 3*v - 9*v = u. Solve v + 0*r - 1/2*r**3 - 1/4*r**5 + 0*r**2 - 3/4*r**4 = 0 for r.
-2, -1, 0
Let w = 280 - 1117/4. Let d(r) be the first derivative of 12*r**2 + 5*r**3 + w*r**4 + 12*r + 18. Solve d(z) = 0 for z.
-2, -1
Let q = 47 - 45. Let j(l) be the first derivative of 17 - l**3 - 15*l**q - 27*l - 40 - 48*l. Factor j(t).
-3*(t + 5)**2
What is m in 148/7*m**3 - 148/7*m + 0 + 4/7*m**4 - 4/7*m**2 = 0?
-37, -1, 0, 1
Factor 23*x**2 + 9*x - 12*x**2 - 10 - x**4 - 16*x**3 - 15*x**3 + 36*x**3 - 14*x**3.
-(x - 1)**2*(x + 1)*(x + 10)
Let n be ((-33)/30294*17)/(-2 + 1). Let c(u) be the second derivative of n*u**4 + 0*u**3 + 41*u + 0*u**2 - 1/90*u**5 + 0. Solve c(i) = 0.
0, 1
Let d(l) be the second derivative of l**6/90 + 13*l**5/20 + 29*l**4/2 + 1330*l**3/9 + 588*l**2 - 3664*l. Factor d(h).
(h + 2)*(h + 9)*(h + 14)**2/3
Let w(i) = -i**2 - 26*i + 4. Let k(u) = 2*u**2 + 26*u - 6. Let n(o) = -3*o**2 + 8*o + 1. Let g be n(3). Let j(f) = g*k(f) - 3*w(f). Find x such that j(x) = 0.
0, 26
Let o be 44/(-66)*((-10)/(-25) - 1232/105). What is m in -2/9*m**2 + o*m + 70/9 = 0?
-1, 35
Let h(m) be the first derivative of 2*m**3/45 - 2018*m**2/15 - 1346*m/5 - 1303. Solve h(l) = 0.
-1, 2019
Suppose 0*p = 4*p + 216. Let c = p - -63. Find w, given that c - 6 - 7*w + w + 3*w**2 = 0.
1
Suppose 4*f = -4*x + 16 - 4, 4*x + 3*f - 11 = 0. Find d such that -d**3 + 6*d**x - 9*d + 11833 - 11833 = 0.
0, 3
Let b(l) be the second derivative of l**6/150 + 9*l**5/100 - l**4/6 - 38*l**3/5 - 36*l**2 + 364*l. What is m in b(m) = 0?
-6, -2, 5
Let 360 + 245*v**4 + 4789*v**2 + 13060*v**2 - 2864*v**2 - 9240*v**3 + 4850*v = 0. Calculate v.
-1/7, 2, 36
Let j = 2/4025 - -16094/12075. Solve 0*b + 2/3*b**2 + 0 + 2/3*b**4 + j*b**3 = 0.
-1, 0
Let t(j) = j**2 + 2*j - 1. Let s(o) = -10*o**2 + 80. Suppose -12 + 5 = -7*p. Let m(d) = p*s(d) + 5*t(d). Let m(c) = 0. Calculate c.
-3, 5
Let x be 36/(-900) + 808/200 + -1. Factor -1/4*d + 0 - 2*d**x - 7/4*d**2 + 4*d**4.
d*(d - 1)*(4*d + 1)**2/4
Let j(o) = -o**5 + o**3 - o - 1. Let n = -280 + 302. Let x(c) = -12*c**5 + c**2 - c**4 + 12*c**3 - c - 11*c + c - 11. Let l(g) = n*j(g) - 2*x(g). Factor l(y).
2*y**2*(y - 1)*(y + 1)**2
Let p(q) = 3*q**2 + 252*q + 774. Let f(z) = -z**2 - 72*z - 221. Let j be 34/2 - (-2 + 1). Let r = 15 + -10. Let y(n) = j*f(n) + r*p(n). Factor y(g).
-3*(g + 6)**2
Let j = -90 + 92. What is q in -37*q**2 - 12*q**3 - 9*q**4 + q**4 + 29*q**2 - j*q - 2*q**5 = 0?
-1, 0
Let j = 1202 - 5882/5. Solve 24/5*l**2 + j - 96/5*l - 2/5*l**3 = 0.
4
Let k be 12 - -1 - (801396/85880 + (-3)/(-10)). What is h in 40/19*h**4 - k*h**3 - 52/19*h**2 + 12/19 + 46/19*h + 18/19*h**5 = 0?
-3, -1, -2/9, 1
Let v(w) = 310*w**2 - 14*w + 34. Let y(s) = -14*s**2 - 1. Let r(k) = 2*v(k) + 44*y(k). Let r(n) = 0. What is n?
1, 6
Suppose 140 = 5*d - 2*l, -5*d + 0*l + 145 = -l. Let h be 57/9 + d/(-5). Factor 1/3*m + 4/3 - h*m**3 - 4/3*m**2.
-(m - 1)*(m + 1)*(m + 4)/3
Let z(s) = -25*s**3 + 15300*s**2 - 963260*s + 6757760. Let i(h) = 2*h**3 - 1177*h**2 + 74097*h - 519828. Let k(v) = -40*i(v) - 3*z(v). Factor k(t).
-5*(t - 114)**2*(t - 8)
Let c = -25543 + 76639/3. Factor c*x**2 - 6 + 2*x + 2/3*x**3.
2*(x - 1)*(x + 3)**2/3
Let j(u) be the third derivative of 6 + 0*u**3 - 11/24*u**4 - 1/60*u**5 + 0*u + 4*u**2. Factor j(a).
-a*(a + 11)
Let g(r) be the second derivative of r**8/840 + 3*r**7/140 + r**3/2 - 13*r**2/2 - 7*r - 5. Let h(u) be the second derivative of g(u). Factor h(m).
2*m**3*(m + 9)
Let w be ((-790)/(-22594))/(15/66). Factor 0 + 40/13*c**2 + w*c**3 + 200/13*c.
2*c*(c + 10)**2/13
Let c(y) be the first derivative of y**4/16 - 23*y**3/4 + 490. Suppose c(d) = 0. What is d?
0, 69
Determine z so that -86/15*z**2 - 166/15*z**3 + 128/15 - 14/5*z**4 + 56/5*z - 2/15*z**5 = 0.
-16, -4, -1, 1
Let h(w) be the third derivative of 0*w - 1014*w**3 - 1/60*w**5 + 0 - 134*w**2 + 13/2*w**4. Factor h(u).
-(u - 78)**2
Let c(d) = 28*d**4 - 9*d**3 + 4*d**2 - 7. Let f(i) = i**4 - i**3 + i**2 - 1. Let z(a) = -3*c(a) + 21*f(a). Factor z(k).
-3*k**2*(3*k + 1)*(7*k - 3)
Let d(v) be the third derivative of 1/105*v**5 + 29/42*v**4 + 0*v + 0 + 8/3*v**3 + 46*v**2. Factor d(j).
4*(j + 1)*(j + 28)/7
Solve 54300*h**4 - 127896 - 283*h**5 + 66*h**5 - 955716*h + 196205*h**3 - 2129060*h**3 + 69*h**5 - 227*h**5 - 2371794*h**2 = 0 for h.
-2/5, 73
Let q be 6 + 1/(2/(-6)). Let y be q/(-9) - 14/(-6). Factor -12*d**3 + 20*d**y - 108*d - 4*d**2 + 104*d.
-4*d*(d - 1)*(3*d - 1)
Suppose -15 = -5*p, 4 = -f + 4*p - 7. Factor -8*i + 3 + 0*i**2 - 2*i**3 - 8*i**2 - 2 - f.
-2*i*(i + 2)**2
Suppose 4 = 4*o - 2*r, -73*o + 69*o - r = -16. Let y(d) be the first derivative of -43 - 1/4*d**4 + 0*d + 0*d**2 + 0*d**o. Factor y(t).
-t**3
Let n = 267/545 - 158/545. Let p(k) be the first derivative of k**2 - n*k**5 + k - 1/2*k**4 + 0*k**3 + 31. Factor p(q).
-(q - 1)*(q + 1)**3
Let r(g) be the second derivative of -5*g**4/3 + 15*g**3/4 + 35*g**2/2 - 3*g - 21. Factor r(y).
-5*(y - 2)*(8*y + 7)/2
Let q be (32/(-3) + 0)*-60. Suppose -1042*c**2 + 3037*c**5 - 3032*c**5 + 42*c**2 - 70*c**4 - q + 380*c**3 + 1280*c = 0. Calculate c.
2, 4
Suppose 124 = -2*m - 16. Let p be -7 - (-623)/m*-2. Solve 0*w - 63/5*w**3 - 3/5*w**5 + 0 - p*w**2 - 24/5*w**4 = 0.
-3, -2, 0
Let m(b) be the first derivative of -15 - 32/39*b**3 - 1/26*b**4 - 36/13*b + 35/13*b**2. Factor m(s).
-2*(s - 1)**2*(s + 18)/13
Let w(a) = 5*a**5 + 37*a**4 + 71*a**3 + 45*a**2 - 2. Let m(p) = 5*p**5 + 38*p**4 + 69*p**3 + 45*p**2 - 3. Let d(l) = 2*m(l) - 3*w(l). Solve d(s) = 0.
-3, -1, 0
Solve 1/6*x**3 - 15/2*x + 6 + 4/3*x**2 = 0.
-12, 1, 3
Suppose -45 + 117 = 36*l. Find x, given that 4*x + 4497*x**l + 2 - 4505*x**2 + 4*x**5 + 2 + 4*x**4 - 8*x**3 = 0.
-1, 1
Let c(a) be the second derivative of a**4/24 + 229*a**3/8 - 43*a**2 + 4900*a. Suppose c(p) = 0. What is p?
-344, 1/2
Let i(s) = -111*s - 250. Let z be i(-3). Suppose 0 = 42*h - z - 1. Factor 3/2*a - 3/4 - 3/2*a**3 + 0*a**h + 3/4*a**4.
3*(a - 1)**3*(a + 1)/4
Let l = -16566 + 16596. Let s(b) be the first derivative of -l + 12/7*b - 1/7*b**3 + 0*b**2. Factor s(y).
-3*(y - 2)*(y + 2)/7
Let t(p) = -p**3 - 6*p**2 - 2*p + 14. Let j be t(-4). Let l be (192/j)/4 + 4 + 1. Determine d so that -2/5*d**4 + 1/5*d**2 - 3/5*d**3 + l + 3/5*d = 0.
-1, -1/2, 1
Let j = 13/3 + -41/24. Let d be 145/5 + (24 - 47). Let j*t**3 + 15/8*t**2 + 3/2 - d*t = 0. What is t?
-2, 2/7, 1
Determine w, given that 20/3*w + 2/3*w**2 - 26 = 0.
-13, 3
Let -7515/4*l**2 + 0*l + 5/4*l**3 + 0 = 0. What is l?
0, 1503
Let b = -25 - -25. Suppose -4*m + 3 + 9 = b. Determine r so that r**3 - 396*r - 4*r**3 + 216 - r**3 - 5*r**m + 114*r**2 = 0.
2/3, 6
Let g(q) be the first derivative of 0*q**2 + q**4 + 0*q**3 + 24/35*q**5 + 0*q - 48 - 2/21*q**6. Determine c so that g(c) = 0.
-1, 0, 7
Factor -128*o - 216*o**2 + 244 - 19*o + 246 + 227*o**2.
(o - 7)*(11*o - 70)
Let l(q) = -q**3 + 11*q**2 - 7*q - 7. Let z be l(8). Let x be (8788/(-1183))/(1/(-7)). Let -22 - 2*h**2 - z - x*h - 187 = 0. What is h?
-13
Let k = -257 - -261. Suppose 21*m**2 - 5*m**2 - m + k - 17*m**2 + 2 = 0. What is m?
-3, 2
Let i(z) be the third derivative of -z**6/270 + z**5/72 - z**4/72 + 41*z**3/3 - 20*z**2 - z. Let k(y) be the first derivative of i(y). Factor k(p).
-(p - 1)*(4*p - 1)/3
Let m = -300 - -302. Factor -9*u - 12 + 2*u - 67*u**m + 66*u**2 - u.
-(u + 2)*(u + 6)
Let y = -208207 - -208209. Factor 2/5*c**3 - 22/5*c**y - 18/5 + 38/5*c.
2*(c - 9)*(c - 1)**2/5
Let s be (-50)/15 + 12980/1770. Factor 21/5 - 52/5*p - 12/5*p**3 + 1/5*p**s + 42/5*p**2.
(p - 7)*(p - 3)*(p - 1)**2/5
Determine n so that -26133*n**3 + 79284*n**2 - 77004*n + 3039*n**4 - 26674*n**2 + 21*n**5 + 21703*n**2 + 16524 = 0.
-153, 2/7, 2, 3
Let z(n) be the second derivative of -5/12*n**4 - 1/16*n**5 + 0 - 43*n - 25/24*n**3 - 5/4*n**2. Factor z(h).
-5*(h + 1)**2*(h + 2)/4
Let 2 + 7*i**2 - 29*i - 9*i + i - 10 + 11*i = 0. What is i?
-2/7, 4
Suppose 5*z - 5*t + 2655 = 0, -71*z + 67*z - 2130 = -t. Let q = 2133/4 + z. Let 1 - h + q*h**2 = 0. Calculate h.
2
Let g(j) = 3*j + 9. Let k be g(-19). Let f be (-236)/(-6) - (-64)/k. Let f*r**2 - 17*r**2 + 375*r + 625 + 54*r**2 + 5*r**3 = 0. Calculate r.
-