= 54934/3 + -18310. Determine a, given that -4/3*a**3 + d*a + 0 + 0*a**2 = 0.
-1, 0, 1
Determine j, given that -6/7 - 9/7*j - 3/7*j**2 = 0.
-2, -1
Let c(z) = -2*z**5 - 43*z**4 - 104*z**3 - 28*z**2 + 103*z + 68. Let x(l) = -l**4 - l. Let f(g) = -c(g) + 3*x(g). Determine h, given that f(h) = 0.
-17, -2, -1, 1
Let v = -50 + 201/4. Suppose -46*j = -53*j + 21. Suppose 0 - v*z**j - 1/4*z**2 + 0*z = 0. Calculate z.
-1, 0
Let c be 1 - (-10)/11 - (-234)/2574. Factor l - l**3 + 2/3 - 2/3*l**c.
-(l - 1)*(l + 1)*(3*l + 2)/3
Let a be -1 + 1 - 0*(-7)/(-77). Let u(o) be the first derivative of a*o**2 - 10/7*o**4 + 10/7*o**5 + 2 + 8/21*o**3 + 0*o. Solve u(s) = 0.
0, 2/5
Let v(x) = 37 - 18*x**3 - 37 + 10*x + 18*x**2. Let n(i) = 2*i**3 - 2*i**2 - i. Let z(r) = -52*n(r) - 6*v(r). Factor z(b).
4*b*(b - 2)*(b + 1)
Let f(r) be the second derivative of -r**4/114 - r**3 + 118*r**2/19 - 70*r - 2. Suppose f(l) = 0. What is l?
-59, 2
Let o(p) = p**5 + p**4 + 2*p + 1. Let x(q) = -8*q**5 - 12*q**4 - 8*q - 4. Let c(t) = -4*o(t) - x(t). What is b in c(b) = 0?
-2, 0
Let -19*k**2 - 5*k**3 - 75 + 4*k**2 - 31*k**2 + 21*k**2 - 115*k - 20*k**2 = 0. Calculate k.
-5, -3, -1
Suppose -28*b - 922 = 15*b - 1094. Factor 1/7*r**b - 3/7*r**2 - 1/7*r**3 + 1/7*r + 2/7.
(r - 2)*(r - 1)*(r + 1)**2/7
Let s(a) = -7*a**2 - 6*a + 15. Let h(k) = 3*k**2 + 3*k - 7. Let x(v) = 5*h(v) + 2*s(v). Let o be x(2). Solve -o*y - 4*y**2 - 2*y + 2*y**3 - y + 2*y**3 = 0.
-1, 0, 2
Let o be (-30)/8*1128/(-940). Factor 0*d + 0 - o*d**3 - 3/2*d**2.
-3*d**2*(3*d + 1)/2
Let j be (-82)/(-26) + 30/(-195). Factor 13*w + j*w**2 - 40*w - w**2 - 10 - 7*w**2.
-(w + 5)*(5*w + 2)
Let t be 3*((1 - -2) + -13). Let d be (t/25)/((-1)/5). Determine g so that -2*g**3 + 2*g**2 - 4*g**2 - 4*g**4 + d*g**4 + 2*g**5 = 0.
-1, 0, 1
Let f(n) be the second derivative of n**5/30 - n**4/9 + n**3/9 - 160*n. Factor f(j).
2*j*(j - 1)**2/3
Let z(q) be the first derivative of 1/4*q**3 + 1/4*q**2 - 1/4*q - 9. Factor z(v).
(v + 1)*(3*v - 1)/4
Suppose 0 = 16*j - 5 - 27. Suppose 3*p - 15 = -v + 8*p, -j*v + p = -3. Determine u so that 0*u + 0*u**3 + 2/9*u**2 + v - 2/9*u**4 = 0.
-1, 0, 1
Suppose -38*i = 60*i + 51 - 345. Find r, given that -r**4 - 1/2*r**2 + 0 + 1/4*r**5 + 0*r + 5/4*r**i = 0.
0, 1, 2
Let r(z) = 1. Let g = 0 + 6. Let t(a) = -a**2 + 5*a - 10. Let o(f) = g*r(f) + t(f). Find y, given that o(y) = 0.
1, 4
Suppose -2 = -p, 9*m - 13*m = 2*p - 16. Let h(g) be the second derivative of 0 + 5*g - 1/25*g**5 + 2/15*g**m - 2/5*g**2 + 1/15*g**4. Factor h(q).
-4*(q - 1)**2*(q + 1)/5
Let c be 55/10 - 6/4. Suppose 3*k + 2*m = -c, -2*k + 0*m + 19 = -3*m. Let -4/3 - k*p - 2/3*p**5 + 4/3*p**2 + 8/3*p**3 + 0*p**4 = 0. What is p?
-1, 1, 2
Factor 58*i**2 + 3*i**3 - 87*i**2 - 132 + 399 - 3*i - 238*i**2.
3*(i - 89)*(i - 1)*(i + 1)
Let b(i) be the second derivative of -i**6/1980 + i**5/132 - i**4/33 + 11*i**3/3 + 35*i. Let g(p) be the second derivative of b(p). Find o such that g(o) = 0.
1, 4
Let l(j) = j + 8. Let c be (-6)/(-12)*32/(-2). Let m be l(c). Let -3/5*v**2 + 0*v + m = 0. Calculate v.
0
Let z(h) be the second derivative of h**8/840 + h**7/420 - 7*h**3/6 - 16*h. Let u(f) be the second derivative of z(f). Solve u(w) = 0 for w.
-1, 0
Let d(o) = -2*o**2 - 50*o - 1. Let s be d(-25). Let x be -3 + 92/(-28)*s. Factor 2/7*m**3 - x + 2/7*m**2 - 2/7*m.
2*(m - 1)*(m + 1)**2/7
Let k(w) be the second derivative of -9*w**7/91 + 2*w**6/13 + 19*w**5/130 - 5*w**4/13 + 8*w**3/39 - w - 18. Find y, given that k(y) = 0.
-1, 0, 4/9, 2/3, 1
Suppose 146*x**3 - 40*x - 322*x**3 + 156*x**3 + 204*x**2 = 0. Calculate x.
0, 1/5, 10
Let v(h) = -7*h**2 + 5*h - 4. Let g(d) = 6*d**2 - 4*d + 3. Let o(n) = n**2 + 6*n - 2. Let c be o(-7). Let s(w) = c*v(w) + 6*g(w). Factor s(a).
(a - 1)*(a + 2)
Let b(x) = 7*x + 2. Let n(g) = 93*g + 27. Let j(i) = 27*b(i) - 2*n(i). Let k be j(0). Suppose 12/5*f + 126/5*f**4 + 183/5*f**3 + k + 84/5*f**2 = 0. Calculate f.
-2/3, -1/2, -2/7, 0
Let j(i) be the third derivative of i**5/360 + 29*i**4/144 - 26*i**2. Let j(b) = 0. What is b?
-29, 0
Let q be ((-2)/8)/((-70)/7 + 8)*4. Factor q*z**3 - 2*z**2 - 1 + 5/2*z.
(z - 2)*(z - 1)**2/2
Let q(c) be the second derivative of -c**5/360 - c**4/36 - c**3/12 + 11*c**2 - c - 11. Let v(p) be the first derivative of q(p). Determine z so that v(z) = 0.
-3, -1
Let k(a) be the third derivative of -a**5/570 + 17*a**4/114 - 11*a**3/19 - 112*a**2. Factor k(w).
-2*(w - 33)*(w - 1)/19
Suppose 2*z - 3 = -f - 7, -4*f + 17 = -3*z. Factor u**f + 4*u**2 - u + 10*u + u.
5*u*(u + 2)
Let h(i) be the second derivative of 1/60*i**5 + 0 - 1/18*i**3 + 0*i**4 + 0*i**2 - 33*i. Factor h(z).
z*(z - 1)*(z + 1)/3
Let w(c) be the second derivative of -2/21*c**7 - 2/3*c**3 + 14*c + 0*c**6 + 0*c**4 + 0*c**2 + 0 + 2/5*c**5. Solve w(t) = 0 for t.
-1, 0, 1
Let v = 48 - 48. Suppose -15*m + 10*m**2 + v*m**3 + 2*m**3 + 3*m**3 = 0. What is m?
-3, 0, 1
Let l = -4 + 10. Let h(u) = u + 1. Let j be h(l). Find d, given that j*d**3 + 4*d**3 + 3*d - 14*d**3 = 0.
-1, 0, 1
Let o(d) = -571*d**2 - 108300*d - 6858997. Let u(h) = -h**3 + h**2 - 3. Let w(l) = 5*o(l) + 5*u(l). Factor w(v).
-5*(v + 190)**3
Let t(i) be the second derivative of i**4/3 - 10*i**3 + 88*i**2 - 288*i. Suppose t(y) = 0. What is y?
4, 11
Let b(d) = d**2 + 18*d - 115. Let m be b(-23). Let q(w) be the third derivative of m*w**4 - 1/90*w**6 + 0 + 0*w - 2*w**2 + 1/30*w**5 - 1/9*w**3. Factor q(t).
-2*(t - 1)**2*(2*t + 1)/3
Determine q, given that 92*q + q**2 - 9 + 0*q**2 + 23*q**2 - 7 = 0.
-4, 1/6
Let a(x) = -6*x + 12. Let r be 60/27 + (-22)/99. Let l be a(r). Factor 6/5*i**3 + 0*i**4 + 4/5*i**2 + l*i + 0 - 2/5*i**5.
-2*i**2*(i - 2)*(i + 1)**2/5
Let z(b) be the third derivative of -7*b**5/60 + 5*b**4/12 + 4*b**3/3 - 544*b**2. Determine d, given that z(d) = 0.
-4/7, 2
Let m(s) = -s**3 - 27*s**2 + 59*s + 25. Let x be m(-29). Let u be 9/(-12)*x/18. Factor -1/6*f**2 - u*f + 1/3.
-(f - 1)*(f + 2)/6
Solve 5*s + s**4 - 11*s - 12*s**3 - 4*s**4 - 20*s**2 + 5*s**2 = 0.
-2, -1, 0
Let d(m) be the second derivative of 31*m - 15/2*m**2 + 0 + 10/3*m**3 - 5/12*m**4. What is o in d(o) = 0?
1, 3
Let b(l) be the third derivative of -l**5/60 + l**4/6 - l**3/6 - 4*l**2. Let q be b(3). Determine t, given that -t + 4*t**2 - 2*t**q - t = 0.
0, 1
Let g(w) be the third derivative of w**7/1260 - w**6/180 - 5*w**4/24 + 15*w**2. Let b(y) be the second derivative of g(y). Factor b(r).
2*r*(r - 2)
Let i be 3*-8*2/(-6). Suppose 0 = -w + 3*w - i. Find f such that -3*f**5 + 3*f**2 + 2*f**3 - 77*f**w + f**3 + 74*f**4 = 0.
-1, 0, 1
Suppose 2*v = 3*j + 90, -3*j + 16*v = 19*v + 75. Let b be j/(-6) - 4 - 4/(-3). Suppose 2/9*a**b + 0 - 2/9*a**3 + 0*a = 0. Calculate a.
0, 1
Let t be ((-8)/12)/((-20)/15). Let r(y) be the second derivative of -3/2*y**2 - t*y**3 + 1/4*y**4 - 5*y + 0 + 3/20*y**5. Determine h, given that r(h) = 0.
-1, 1
Let o = 1136/5679 - -14/631. Let 1/9*b**2 - o*b + 0 - 1/9*b**4 + 2/9*b**3 = 0. What is b?
-1, 0, 1, 2
Let u(h) be the first derivative of h**5/20 + h**4/4 - 15*h**2 - 20. Let o(k) be the second derivative of u(k). Factor o(d).
3*d*(d + 2)
Let i = 1858 - 1856. Let n = 27668/18885 + 2/1259. Determine r, given that n*r - 6/5*r**i - 4/15 = 0.
2/9, 1
Let y(z) = 3*z**2 - 11*z - 2. Let u be y(5). Let r = 21 - u. Factor 22*g**4 - 87*g**r - 22*g**2 - 12*g + 94*g**2 + 5*g**4.
3*g*(g - 2)*(g - 1)*(9*g - 2)
Suppose n = 5*i - 0*n - 16, 0 = 2*i + 3*n - 20. Let y be 3/(-180)*i*20/(-6). Factor -4/9*q**3 + y*q**5 + 2/9*q**4 - 4/9*q**2 + 2/9 + 2/9*q.
2*(q - 1)**2*(q + 1)**3/9
Let z(g) be the second derivative of -g**4/42 - g**3/21 + 6*g**2/7 + 369*g. What is h in z(h) = 0?
-3, 2
Let n(r) = 7*r**2 - 8*r + 39. Let t(g) = -4*g**2 + 8*g - 40. Let a(y) = 4*n(y) + 6*t(y). Factor a(j).
4*(j - 3)*(j + 7)
Let y = -183 - -186. Let i be 1*y + (-70)/(-35). Factor 0*u - 7/2*u**i - 8*u**4 - u**2 + 0 - 11/2*u**3.
-u**2*(u + 1)**2*(7*u + 2)/2
Suppose d = -2*y + 82, 0 = 3*d - 7*d - y + 307. Let v = 76 - d. Factor v + 2/9*z**2 + 2/9*z.
2*z*(z + 1)/9
Suppose 0 = 5*r + 4*d + 11, 4*r + 15 + 0 = 3*d. Let n be 180/189 + 2/r. Factor -6/7*u**2 + 0 - 2/7*u**4 - n*u - 6/7*u**3.
-2*u*(u + 1)**3/7
Let s be (-1 - -691)*(-14)/(-35). Determine v so that 3*v**3 + s*v - 137*v - 136*v + 6*v**2 = 0.
-1, 0
Let v = -27916 + 195414/7. Solve 2/7 - v*q**2 + 9/7*q**3 - 9/7