k**5 + 0. Factor v(w).
3*(w - 1)**4*(w + 1)/4
Let n be 6/(13 - (1 + 10)). Factor 1/8*t**4 + 1/4 - 3/8*t**2 - 1/8*t**n + 1/8*t.
(t - 2)*(t - 1)*(t + 1)**2/8
Suppose 3*u = 3 + 12. Let -4*g**u - 29*g**3 + 20*g**4 + 0 + 33*g**3 + 0 - 20*g**2 = 0. What is g?
-1, 0, 1, 5
Let u(x) = -x**3 - 31*x**2 - 29*x + 32. Let n be u(-30). Find t, given that 0*t + 1/6*t**4 + 0 + 1/6*t**5 - 2/3*t**3 - 2/3*t**n = 0.
-2, -1, 0, 2
Let b(p) be the first derivative of p**6/2 + 24*p**5/5 - 15*p**4 + 2*p**3 + 57*p**2/2 - 30*p - 164. Determine j so that b(j) = 0.
-10, -1, 1
Suppose -8*d = -10*d + 2. Suppose -3*t + d = 2*o + 2*t, -5*t - 7 = o. Suppose c**2 - o*c + 16*c - 7*c - 2*c**3 = 0. Calculate c.
-1/2, 0, 1
Let p = -99 - -101. Solve 6*w**4 - 12*w**3 - 3*w**4 - 363*w**2 + 0*w**4 + 342*w**p + 30*w = 0.
-2, 0, 1, 5
Factor 0 + 2/7*n**2 - 18/7*n.
2*n*(n - 9)/7
Suppose v = c + 5, v = -3*v - 4*c + 28. Let m be -1 + v*1 - (13 - 15). Factor -m*h**3 + 0*h**2 - 3*h**2 - h**4 + 3*h**3.
-h**2*(h + 1)*(h + 3)
Let y be (2/3 - -1)/((-25)/(-30)). Factor 24*f**4 + 512*f**y + 204*f**5 - 205*f**5 - 209*f**3 + 17*f**3.
-f**2*(f - 8)**3
Let o = -600 - -143/2. Let v = o - -531. Find l, given that v + 3*l + 1/2*l**2 = 0.
-5, -1
Let b = -3109/88 - -335/8. Suppose 24/11*y**5 - b*y**3 + 30/11*y**2 + 6/11*y**4 + 12/11*y + 0 = 0. What is y?
-2, -1/4, 0, 1
Let b(p) = p + 9. Let j be b(-7). Suppose 7*o - j*o - 20 = 0. Suppose 24*c**3 - o*c**2 - 30*c**3 - c**4 - c**4 = 0. Calculate c.
-2, -1, 0
Let s be ((-4)/7)/((-180)/42 - -4). Determine n, given that -45*n**3 - 425*n - 855 - 908*n**2 + 785 + 248*n**s = 0.
-14, -1/3
Let h be 42 + (-5724)/135 + 2 + -2 + 2. Suppose h*y - 2*y**3 + 2/5*y**5 + 0 + 0*y**2 + 0*y**4 = 0. What is y?
-2, -1, 0, 1, 2
Let x be (-1)/(-14)*-2*2618/(-88)*4. Let t(r) be the first derivative of r**3 + 0*r**2 - 3/5*r**5 + x + 0*r + 0*r**4. Find q such that t(q) = 0.
-1, 0, 1
Let s(c) = -c**3 + 32*c**2 + 72*c - 134. Let k be s(34). Let i(q) be the second derivative of -11*q + 0*q**k - 1/30*q**3 + 0 - 1/60*q**4. Factor i(x).
-x*(x + 1)/5
Let k be 5/(13*(-70)/(-364)). Factor -24*x + 21/2*x**k + 18 - 3/2*x**3.
-3*(x - 3)*(x - 2)**2/2
Determine h, given that 2/15*h**4 - 104/15*h**3 + 104/15*h + 106/15 - 36/5*h**2 = 0.
-1, 1, 53
Let s be (1*6/(-108))/(9/486*-4). Factor 7/4*c + 1/4*c**3 - s - 5/4*c**2.
(c - 3)*(c - 1)**2/4
What is w in -78*w**5 + 285/2*w**4 - 99/2*w**3 + 0 + 3/2*w - 33/2*w**2 = 0?
-1/4, 0, 1/13, 1
Let y(v) be the third derivative of 1/12*v**3 + 19/96*v**4 + 3/16*v**5 + 8*v + 41/480*v**6 + 0 + 13/840*v**7 + v**2. Factor y(h).
(h + 1)**3*(13*h + 2)/4
Factor -498996*t**4 + 498994*t**4 + 4*t**2 + 2*t**2 + 4*t.
-2*t*(t - 2)*(t + 1)**2
Suppose -z - 57 - 18 = -4*c, -3*c + 2*z + 50 = 0. Suppose 15*o - 10 = c. Let 4/3*w**5 - 4/3*w**4 + 0*w + 0*w**o - 8/3*w**3 + 0 = 0. What is w?
-1, 0, 2
Let b(o) = -5*o**3 + 28*o**2 + 225*o - 886. Let z(m) = 51*m**3 - 279*m**2 - 2247*m + 8862. Let t(k) = -21*b(k) - 2*z(k). Suppose t(f) = 0. What is f?
-7, 3, 14
Let c = 1744/1239 - 306/413. Solve -486 - c*t**2 - 36*t = 0 for t.
-27
Let i(a) = 2*a**3 + 1. Let c(k) = -4*k**3 + 4776*k**2 + 1900848*k + 252179164. Let w(z) = -c(z) - 4*i(z). Find o, given that w(o) = 0.
-398
Determine u so that -72/5*u - 9/5 + 304/5*u**2 + 201/5*u**4 - 78*u**3 - 34/5*u**5 = 0.
-3/34, 1, 3
Let u(m) = -m**2 - 26*m - 35. Let y be u(-21). Let r be (-3 + 1)*(11 + (-777)/y). Factor -1/5*d**4 - 2/5 + r*d - 1/5*d**3 + 3/5*d**2.
-(d - 1)**2*(d + 1)*(d + 2)/5
Let n(i) be the second derivative of 0 + 1/6*i**4 - 1/3*i**3 + 8*i + 0*i**2. Factor n(q).
2*q*(q - 1)
Factor -27/5*k**2 - 1584/5*k - 23232/5.
-3*(3*k + 88)**2/5
Let n = -144 + 591. Let u = 895/2 - n. Factor -k + u*k**2 + 0.
k*(k - 2)/2
Factor o**5 - 585225*o**2 + 3183624*o - 483*o**4 - 18608*o**3 + 2*o**5 + 0*o**5 + 0*o**5 + 45689*o**3.
3*o*(o - 51)**3*(o - 8)
Let w(q) be the second derivative of 0 - 89*q - 10/3*q**3 - 12*q**2 + 1/3*q**4. What is h in w(h) = 0?
-1, 6
Let h(z) = -3*z**5 - 70*z**4 - 53*z**3 - 1. Let s(n) = n**5 + n**4 - 2*n**3 - 1. Let w(l) = h(l) - s(l). Solve w(r) = 0 for r.
-17, -3/4, 0
Let f(p) be the third derivative of -2*p + 0 + 65*p**2 - 3/8*p**4 + 1/280*p**6 - 9/7*p**3 - 1/70*p**5. Factor f(n).
3*(n - 6)*(n + 1)*(n + 3)/7
Let t(o) be the first derivative of -2*o**6/15 - 2*o**5/5 + 4*o**3/3 + 2*o**2 + 215*o + 158. Let x(v) be the first derivative of t(v). Factor x(j).
-4*(j - 1)*(j + 1)**3
Let k be (6/315)/(135/945). Find v such that 6/5 + k*v**2 - 4/5*v = 0.
3
Let w(r) be the first derivative of 4*r**3/27 + 50*r**2/9 - 248*r/3 + 2566. What is c in w(c) = 0?
-31, 6
Let o = -1044/7 + 150. Let l = -3103/3 + 21745/21. Factor o + 2/7*m**2 - l*m.
2*(m - 3)*(m - 1)/7
Let p(c) be the third derivative of 1/1008*c**8 + 1/63*c**7 + 0*c**3 - 10*c**2 + 0 + 0*c - 13/90*c**6 + 14/45*c**5 + 0*c**4. Factor p(r).
r**2*(r - 2)**2*(r + 14)/3
Solve -3*w**4 - 34 - 87*w**2 - 96*w - 12*w**3 - 14 + 12 - 22*w**3 + 4*w**3 = 0.
-6, -2, -1
Let n = 34 + 83. Let i = 1289/11 - n. Find w such that -4/11*w**3 + 0*w + 0 + 6/11*w**4 - i*w**2 = 0.
-1/3, 0, 1
Let d(y) be the second derivative of -19*y**6/15 + 79*y**5/10 - 2*y**4 - 670*y. Factor d(q).
-2*q**2*(q - 4)*(19*q - 3)
Let t(z) be the second derivative of -z**4/48 - 409*z**3/24 - 51*z**2 + 50*z + 1. Suppose t(g) = 0. What is g?
-408, -1
Let p(d) be the first derivative of -d**7/980 - d**6/84 - 2*d**5/35 - d**4/7 - 59*d**3/3 - 1. Let t(v) be the third derivative of p(v). Factor t(i).
-6*(i + 1)*(i + 2)**2/7
Find n such that -5*n**4 - 111347*n - 108010*n + 189862*n + 55*n**3 + 2355*n**2 - 31790 = 0.
-22, -1, 17
Determine w, given that -14*w + 320 - 71*w - 199*w - 4*w**3 + 36*w - 68*w**2 = 0.
-10, -8, 1
Let a be (2/((-32)/12))/((-3)/12). Suppose 10*g**2 + 68*g - 18 + 2*g**a - 31*g - 31*g = 0. Calculate g.
-3, 1
Suppose -207*d + 210*d + 600 = 0. Let o be 48/600 - 34/d. Factor -o*f + 0 - 1/4*f**2.
-f*(f + 1)/4
What is k in 0 - 164*k**2 - 344*k + 1/2*k**4 - 35/2*k**3 = 0?
-4, 0, 43
Suppose -72*m = -74*m + 4*k + 76, 3*m - 3*k = 108. Suppose -m*f**2 - 59*f - 32 + 102 + 5*f**3 + 14*f + 4*f**2 = 0. What is f?
-2, 1, 7
Let a be 3/(-8 - (-1421)/175). Let o be a/(-15)*(-7)/(280/36). Determine c, given that -18*c + o*c**2 + 54 = 0.
6
Let p(y) = -2*y**2 + 42*y - 6. Let t = 515 + -509. Let b(r) = 6*r**2 - 125*r + 17. Let o(q) = t*b(q) + 17*p(q). Solve o(u) = 0 for u.
0, 18
Let r(n) be the second derivative of 0*n**3 + 0 - 1/12*n**4 + 11*n + 1/30*n**5 - 17/2*n**2. Let k(v) be the first derivative of r(v). Factor k(h).
2*h*(h - 1)
Determine j, given that 2209/3*j**4 + 5311/3*j**3 + 196*j - 3752/3*j**2 + 0 = 0.
-3, 0, 14/47
Let s(j) be the first derivative of -2*j**3/15 + 2*j**2 - 2543. Solve s(w) = 0.
0, 10
Suppose 0 = 2*l - 5*d, d - 3*d = -4. Suppose 8*q = l*q + 24. Suppose 48*w**4 - 20*w**5 - q*w**5 + 9*w**3 + 7*w**3 = 0. Calculate w.
-2/7, 0, 2
Let i(w) be the second derivative of -3*w**4/7 + 115*w**3/14 + 75*w**2/7 + 3172*w + 2. Determine n, given that i(n) = 0.
-5/12, 10
Let c = -390 + 1956/5. Let a = 8774 + -43852/5. Suppose a*w**2 - 6/5*w + c*w**3 - 12/5 - 6/5*w**4 = 0. What is w?
-1, 1, 2
Let u(g) = -g**3 + 2*g**2 + 3*g - 5. Let c be u(-2). Suppose -51 + c = -23*a. Factor 8/21 + 2/21*r**3 + 4/21*r**a - 2/3*r.
2*(r - 1)**2*(r + 4)/21
Suppose -3*p + 22 = 5*i, i + 4*i - 24 = -p. Let v be (-11)/((-55)/20) + p. Let 1/3*r**2 + 0 - 2/3*r**v + 1/3*r**4 + 0*r = 0. What is r?
0, 1
Let v(p) be the second derivative of p**4/6 - 58*p**3/3 - 183*p**2 + 9*p - 44. Find q such that v(q) = 0.
-3, 61
Let z(m) be the third derivative of m**7/630 - 16*m**6/45 + 362*m**5/15 - 1984*m**4/9 + 7688*m**3/9 - m**2 - 202. Factor z(r).
(r - 62)**2*(r - 2)**2/3
Let f(o) be the third derivative of -o**6/1260 - 47*o**5/210 - 2209*o**4/84 + 115*o**3/3 - 241*o**2 + 1. Let a(u) be the first derivative of f(u). Factor a(v).
-2*(v + 47)**2/7
Let v(f) be the first derivative of -3/16*f**4 - 7/4*f**3 - 27/4*f + 51/8*f**2 - 98. Factor v(k).
-3*(k - 1)**2*(k + 9)/4
Let y = -10058 - -231338/23. Let g = 25 - 22. Let 0 + 14/23*u**2 + 2/23*u**g + y*u - 14/23*u**4 - 6/23*u**5 = 0. Calculate u.
-2, -1, -1/3, 0, 1
Let z be (6 - -1)*78/273. What is x in 3/4*x**3 - x + 0*x**z + 0 - 1/4*x**4 = 0?
-1, 0, 2
Let d(p) be the second derivative of 0 - 361/60*p**4 + 8*p + 76/15*p**3 - 8/5*p**2