late c.
-1, -1/3, 0, 1
Let -19/3*w + 0 - 1/3*w**2 = 0. What is w?
-19, 0
Suppose 5*r = -2*h + 34 - 105, h + 4*r + 40 = 0. Let f be (h/(-3))/((-2)/(-3)). What is p in -p**4 - 13*p + 4*p**3 - 3*p**2 + f*p - 3*p**3 + 2*p**3 = 0?
0, 1
What is m in 60*m + 38*m**2 + 16 + 7*m**3 + 7*m**3 + 0*m**3 - 7*m**3 - m**3 = 0?
-4, -2, -1/3
Suppose 4*k - 4 = -0. Let w be (0 + 1)/(k/6). Let -2*h**4 - 3*h**5 + 8*h**2 - w*h**4 - 3*h**3 + 2*h**3 + 4*h = 0. Calculate h.
-2, -1, -2/3, 0, 1
Let s = 16 - 13. Let o(x) = 2*x - 16. Let d be o(9). Find j such that -7*j**s - 8*j**d + 0*j**3 + 3*j**3 = 0.
-2, 0
Determine x, given that 64/5*x + 1/5*x**3 + 16/5*x**2 + 0 = 0.
-8, 0
Let d(u) be the first derivative of -u**6 + 3*u**5/5 + 9*u**4 + 10*u**3 - 3*u**2 - 9*u - 45. Find q, given that d(q) = 0.
-1, 1/2, 3
Let n(x) be the third derivative of -x**5 - 5/6*x**3 + 4*x**2 + 5/12*x**6 + 5/4*x**4 + 0 - 1/14*x**7 + 0*x. Factor n(m).
-5*(m - 1)**3*(3*m - 1)
Suppose -35*n - 18*n = -72*n. Factor -2/7*k**4 - 2/7*k**3 + 0 + n*k**2 + 0*k.
-2*k**3*(k + 1)/7
Let x(r) be the second derivative of -r**3 + 35*r - 8/5*r**5 - 1/4*r**2 + 0 - 2*r**4. Let x(g) = 0. Calculate g.
-1/4
Let c be 1054/217 - (-3)/21. Let p(b) be the first derivative of b**3 - 3/2*b**2 - 3/5*b**c + 0*b - 7 + 3/4*b**4. Factor p(r).
-3*r*(r - 1)**2*(r + 1)
Let s be (-20)/(-5) + (-182)/44. Let m = s - -81/110. Factor 3/5 - m*o**3 - 9/5*o + 9/5*o**2.
-3*(o - 1)**3/5
Let q = -857 + 862. Let x(n) be the third derivative of 0*n + 8*n**2 + 1/180*n**q - 1/36*n**4 + 0 + 1/18*n**3. Factor x(k).
(k - 1)**2/3
Let x(r) = r**3 + 5*r**2 + 4*r + 6. Let k be x(-4). Let m be -1 - k*(-2)/3. Solve -12*l**m - 12*l - 2*l + 2*l + 5 + 18*l**2 - 2 + 3*l**4 = 0 for l.
1
Let w(q) be the second derivative of 0*q**2 - 1/36*q**4 + 2*q + 0 - 1/9*q**3. Find l such that w(l) = 0.
-2, 0
Let l(r) = 4*r**2 - 41*r + 2. Let b be l(-24). Factor -b + 3290 - 2*p**3 + 3*p - p.
-2*p*(p - 1)*(p + 1)
Let d = -172 - -177. Let h be d/(-20) - (-6)/24. Suppose h - 1/2*f**2 - 3/2*f = 0. Calculate f.
-3, 0
Let z(n) be the first derivative of n**3/3 + 13*n**2/4 - 12*n - 207. Determine h so that z(h) = 0.
-8, 3/2
Let r(u) be the second derivative of 2*u**7/21 - 22*u**6/5 - 69*u**5/5 - 35*u**4/3 - 128*u. Solve r(j) = 0 for j.
-1, 0, 35
Let z(o) = 3*o**2 - 3*o - 18. Let x be 4*1/(-1) - -10. Let a(c) = c - 1. Let k(p) = x*a(p) - z(p). Factor k(d).
-3*(d - 4)*(d + 1)
Let s = 257/22620 + 2/377. Let g(c) be the third derivative of 0*c + 0*c**3 + 1/24*c**4 + 0 + 3*c**2 + s*c**5. Determine y so that g(y) = 0.
-1, 0
Suppose 2*p**2 + 41*p + 28 + 2 + 3*p - 12*p = 0. What is p?
-15, -1
Let f(b) be the second derivative of b**6/320 + b**5/160 - b**4/64 - b**3/16 + 29*b**2/2 + 22*b. Let i(d) be the first derivative of f(d). Factor i(j).
3*(j - 1)*(j + 1)**2/8
Let q(x) be the third derivative of -x**6/30 + 146*x**5/15 - 5329*x**4/6 + 11*x**2 + 5*x. Determine z so that q(z) = 0.
0, 73
Factor 3*d**5 + 33*d**4 + 129*d**3 + 219*d**2 - 39*d + 207*d + 50 - 2.
3*(d + 1)**3*(d + 4)**2
Factor -3/4*h**3 - 3/4*h**2 + 0 + 0*h.
-3*h**2*(h + 1)/4
Let o be -2*((-248)/(-64) - 4). Let f(h) be the second derivative of -1/2*h**3 + o*h**4 + 0 + 0*h**2 + 6*h. Find n such that f(n) = 0.
0, 1
Let n(w) = 7*w**2 - 6*w - 3. Let k(p) = -26*p**2 + 24*p + 11. Let g(u) = 6*k(u) + 22*n(u). Factor g(d).
-2*d*(d - 6)
Let p(v) be the third derivative of v**8/6720 - v**7/1260 - v**6/720 + v**5/60 + 17*v**4/24 + 2*v**2. Let l(o) be the second derivative of p(o). Factor l(y).
(y - 2)*(y - 1)*(y + 1)
Let i = -218 - -221. Let w(l) be the first derivative of 9/8*l**4 + 3/2*l - 9/4*l**2 - 1/2*l**3 - i. Solve w(h) = 0.
-1, 1/3, 1
Let h = -2/221 - -4872/1105. Let y = h - 56/15. Let -4/9 + 2/9*c + y*c**2 = 0. What is c?
-1, 2/3
Let s(h) be the first derivative of -h**4/14 - 54*h**3/7 - 216*h**2 + 1512*h - 172. What is r in s(r) = 0?
-42, 3
Let o(t) be the first derivative of t**4/8 + t**3/9 - 7*t**2/12 + t/3 + 67. Let o(l) = 0. Calculate l.
-2, 1/3, 1
Let h(r) be the first derivative of -r**8/336 - r**7/105 - r**6/120 - 11*r**2/2 + 10. Let t(j) be the second derivative of h(j). Find d, given that t(d) = 0.
-1, 0
Let j(u) be the second derivative of -u**6/630 + 4*u**5/35 - 24*u**4/7 + 23*u**3/6 - 32*u. Let g(r) be the second derivative of j(r). Factor g(n).
-4*(n - 12)**2/7
Let p(r) be the third derivative of -r**5/60 + 7*r**4/12 + 10*r**2. Factor p(o).
-o*(o - 14)
Let k be ((-6)/4)/((-108)/288). Let h(u) be the first derivative of -3/28*u**4 - 2/21*u**3 + 1/14*u**2 + k + 0*u. Factor h(r).
-r*(r + 1)*(3*r - 1)/7
Let f be -15 + 23 - ((-1)/(-1) + 2). Suppose 22*s + 20*s**2 - 7*s**5 + 86*s**3 - 5*s**f + 2*s - 130*s**3 - 52*s**4 = 0. Calculate s.
-3, -1, 0, 2/3
Factor 2/7*b**2 + 0 - 48/7*b.
2*b*(b - 24)/7
Let f(y) be the third derivative of y**6/105 + y**5/210 - 4*y**4/21 - 4*y**3/21 - 4*y**2. Suppose f(q) = 0. Calculate q.
-2, -1/4, 2
Let d = -64 + 68. Suppose -d*x = 5*x - 18. Factor 2/5*s**x + 0 + 2/5*s.
2*s*(s + 1)/5
Let z(q) = -7*q - 4. Let c be z(3). Let d be 10/c - (-17)/5. Factor 2*p + p - 7*p**3 + 4*p**d.
-3*p*(p - 1)*(p + 1)
Let h(v) be the first derivative of 4*v**5/15 + 2*v**4 - 4*v**3/9 - 4*v**2 - 115. Factor h(o).
4*o*(o - 1)*(o + 1)*(o + 6)/3
Let a be (-13*(-15)/5460)/(1/2). Let g(p) be the second derivative of 3/140*p**5 - 1/98*p**7 + 12*p + 0*p**2 + a*p**4 - 1/35*p**6 + 0*p**3 + 0. Solve g(c) = 0.
-2, -1, 0, 1
Let k(p) = -5*p**4 + 22*p**3 - 30*p**2 + 23*p - 4. Let s(y) = -15*y**4 + 66*y**3 - 91*y**2 + 68*y - 12. Let v(h) = -8*k(h) + 3*s(h). Find r such that v(r) = 0.
2/5, 1, 2
Let s(g) be the first derivative of g**4/6 - 6*g**3 + 39. Factor s(z).
2*z**2*(z - 27)/3
Let d(l) be the third derivative of -l**6/180 + l**5/60 + l**3/2 + 5*l**2. Let x(w) be the first derivative of d(w). Find a such that x(a) = 0.
0, 1
Let p(b) = -b**3 + 16*b**2 + 13*b - 12. Let y be p(17). Let c = y + 82. Determine i, given that 9/4*i**c + 3/4*i**4 + 0 - 27/4*i + 15/4*i**3 = 0.
-3, 0, 1
Let d(s) = -6*s - 21. Let i be d(-9). Determine c, given that i*c**2 + 2 - 8 + 73*c - 46*c = 0.
-1, 2/11
Suppose -36*m = -40*m + 8. Let z = m - -3. Suppose 6/7*i**4 - 6/7*i**3 + 0 + 0*i + 2/7*i**2 - 2/7*i**z = 0. Calculate i.
0, 1
Let c = -105 - -107. What is f in 212*f**3 + 112*f**4 + 136*f**c + 40 + 26 - 150 + 20*f**5 - 16*f + 52 = 0?
-2, -1, 2/5
Let l = 469/1160 - 1/232. Factor -2/5*u + 0 - l*u**2.
-2*u*(u + 1)/5
Let t(v) be the third derivative of 17*v**2 - 1/20*v**5 + 5/8*v**4 + 0*v - 3/2*v**3 + 0 - 1/40*v**6. Factor t(y).
-3*(y - 1)**2*(y + 3)
Let 6/7*p**2 - 4/7 - 2/7*p**4 - 2/7*p**3 + 2/7*p = 0. What is p?
-2, -1, 1
Let l(f) be the second derivative of 1/18*f**4 - 8/3*f**2 + 3 - 2*f + 2/9*f**3. Factor l(w).
2*(w - 2)*(w + 4)/3
Let d(k) be the second derivative of k**6/165 - 17*k**5/110 + 40*k**4/33 - 64*k**3/33 - 4*k - 6. Factor d(m).
2*m*(m - 8)**2*(m - 1)/11
Factor 0*u + 12/5*u**3 + 0 + 2*u**4 + 2/5*u**5 + 0*u**2.
2*u**3*(u + 2)*(u + 3)/5
Let n(x) = -5*x**2 - 7*x - 20. Let f(h) = 2*h - 3*h**2 - 6*h - 23 + 10. Let r(k) = -8*f(k) + 5*n(k). Factor r(z).
-(z - 1)*(z + 4)
Let y(v) = -112*v - 45. Let u be y(-5). Let l be -5 - u/(-75) - (-3)/(-15). Suppose 1/3*a**5 - 10/3*a**2 - l*a**4 - 1/3 + 5/3*a + 10/3*a**3 = 0. What is a?
1
Let q(v) be the third derivative of v**5/270 - 29*v**4/54 - 714*v**2. Factor q(d).
2*d*(d - 58)/9
Determine k, given that -2/9*k**3 + 32/9*k**2 - 36 - 10*k = 0.
-2, 9
Let d(l) be the first derivative of -5 + 5/21*l**3 - 2/7*l**2 - 2/21*l**4 + 1/70*l**5 + 2*l. Let v(j) be the first derivative of d(j). Factor v(x).
2*(x - 2)*(x - 1)**2/7
Let j = 832 + -825. Let y(q) be the second derivative of -1/9*q**4 - 4/45*q**6 - 1/63*q**7 + 0*q**2 + 0 - 1/6*q**5 + j*q + 0*q**3. Factor y(v).
-2*v**2*(v + 1)**2*(v + 2)/3
Factor -8 - 26*b + b**2 - 3 - 13 + 0*b - 3.
(b - 27)*(b + 1)
Let k(q) be the first derivative of q**7/420 - q**6/240 - q**5/120 + q**4/48 - 4*q**2 + 26. Let c(h) be the second derivative of k(h). Solve c(d) = 0.
-1, 0, 1
Let r(w) = 4*w + 22. Let c be r(-3). Let s be (-26)/c - 3/(-1). What is y in -2/5*y**3 + 0 + 0*y**2 + 0*y + s*y**4 = 0?
0, 1
Let x(j) be the second derivative of j**4/3 - 4*j**3/9 + j**2/6 - 36*j. Solve x(p) = 0 for p.
1/6, 1/2
Suppose -4*m + 5*o = 4*o - 36, 4*m - 36 = -6*o. Factor -m - 1/4*z**2 + 3*z.
-(z - 6)**