9*g - 74. Let m(b) = -4*h(b) + 9*q(b). Solve m(f) = 0.
-7/2, 1, 2
Let o(c) = -2*c**3 - 6*c**2 - c + 1. Let i be o(-3). Suppose 6*l**2 - 5 + 3*l + 0*l + 4*l**3 - 7*l - l**i = 0. Calculate l.
-1, 1, 5
Let g(k) be the first derivative of 2*k**3/51 + 39*k**2/17 + 76*k/17 + 196. Solve g(j) = 0.
-38, -1
Let m be 24/(720/57) - (24/10 - 2). Find n such that m*n**2 - 9/2*n - 6 = 0.
-1, 4
Let f be -2 + (-1 - -1) - -5. Suppose -3*z + 0*z = -l - f, -3 = -z + l. Factor -1/3*i**4 + z*i + 1/3*i**3 + 2/3*i**2 + 0.
-i**2*(i - 2)*(i + 1)/3
Solve -17/8*t + 1/8*t**2 + 2 = 0 for t.
1, 16
Let j(r) be the first derivative of -4*r**5 + 25*r**4/4 + 10*r**3/3 - 15*r**2/2 - 214. Factor j(x).
-5*x*(x - 1)**2*(4*x + 3)
Suppose 0 - 1/5*n**2 - 1/5*n**5 + 0*n - 3/5*n**3 - 3/5*n**4 = 0. Calculate n.
-1, 0
Factor -i**2 + 0*i + 0 + 1/5*i**3.
i**2*(i - 5)/5
Let d be (-51)/(-126) - (-11)/((-5775)/(-50)). Factor -3/2*i**3 + 7/2*i**2 - 5/2*i + d.
-(i - 1)**2*(3*i - 1)/2
Let l = 1/2506 - -2503/7518. Factor 2/3 + 4/3*o**3 + l*o**5 - 4/3*o**4 - 5/3*o + 2/3*o**2.
(o - 2)*(o - 1)**3*(o + 1)/3
Factor 33/4*y - 9/2*y**2 + 1/4*y**3 - 4.
(y - 16)*(y - 1)**2/4
Suppose -1279 = -5*z - 5*i - 944, 308 = 4*z - 4*i. Find d such that -6*d**2 - z + 36*d + 1/3*d**3 = 0.
6
Let k(d) be the first derivative of d**4/4 - 5*d**3 + 75*d**2/2 - 125*d - 139. Solve k(j) = 0.
5
Let t be 12 + 1/2*0. Factor -6*g**3 - 12*g**3 + 15*g - 18*g**5 + 6 + 15*g**5 + 6*g**3 + 6*g**2 - t*g**4.
-3*(g - 1)*(g + 1)**3*(g + 2)
Let m(v) be the third derivative of -v**6/600 + 7*v**4/120 + v**3/5 - 142*v**2. Factor m(w).
-(w - 3)*(w + 1)*(w + 2)/5
Factor 16/13*a**2 + 0 - 2/13*a**3 + 0*a.
-2*a**2*(a - 8)/13
Suppose -2*t = -7 - 11. Let o = t - 5. Factor 16*l**2 + l**o + 18*l**3 + 11*l**4 + 3*l**5 - 4*l**2 + 3*l.
3*l*(l + 1)**4
Suppose -4*q + 3*t = -12, -3*q = -0*q + 5*t - 9. Suppose 2*a - 10*a**4 - 47*a**q + 5*a**5 - 2*a + 52*a**3 = 0. What is a?
0, 1
Let q(o) be the first derivative of 5*o**4/4 + 35*o**3/3 - 85*o**2/2 + 45*o + 63. Factor q(i).
5*(i - 1)**2*(i + 9)
Let y(j) be the third derivative of 53*j**5/48 + 29*j**4/24 + j**3/6 + 210*j**2. Find t such that y(t) = 0.
-2/5, -2/53
Let f(k) = -2*k**2 - 8*k + 7. Let l(s) = s**2 + 9*s - 6. Suppose -2*t + 5*m + 7 = 0, 5*m + 9 = -6. Let n(a) = t*f(a) - 3*l(a). Factor n(u).
5*(u - 1)*(u + 2)
Let j be (31 - 27 - -1)*1. Factor -2/9*k**j - 10/9*k**2 + 4/9*k + 2/3*k**3 + 2/9*k**4 + 0.
-2*k*(k - 1)**3*(k + 2)/9
Let p = 2172 + -2172. Let r(t) be the third derivative of p*t + 4/135*t**6 + 0 - 7/108*t**4 + 1/27*t**3 + 4/135*t**5 + 12*t**2. What is o in r(o) = 0?
-1, 1/4
Let q = -13292/3 - -4431. Find f such that 1/3*f**2 + q*f**3 - 2/3*f + 0 = 0.
-2, 0, 1
Let n(o) be the third derivative of o**6/180 + 181*o**5/90 - o**4/36 - 181*o**3/9 - 578*o**2. Determine y, given that n(y) = 0.
-181, -1, 1
Let i be 12*10/(-160) + (-69)/(-12). Solve 2/7*y**3 + 0 + 0*y - 2/7*y**i + 2/7*y**4 - 2/7*y**2 = 0 for y.
-1, 0, 1
Let z(x) be the first derivative of 13/6*x**3 - 7/4*x**5 - 25/48*x**6 + 31/32*x**4 + 0*x - 13 + 3/4*x**2. Determine f so that z(f) = 0.
-3, -2/5, 0, 1
Suppose 0 = -12*m + 786 - 78. Suppose 0 = 2*g + 53 - m. Let 2/5*k**g - 2/5*k**4 + 2*k**2 + 6/5*k + 0 = 0. Calculate k.
-1, 0, 3
Suppose 0*a**2 - 12 + 2/9*a**3 - 6*a = 0. Calculate a.
-3, 6
Let o(j) be the second derivative of 5*j**4/12 + 55*j**3/6 - 30*j**2 - 67*j - 2. Let o(d) = 0. What is d?
-12, 1
Let m be ((24/(-33))/2)/((-2502)/1529). Factor 0 + 10/9*y - m*y**2.
-2*y*(y - 5)/9
Suppose 0 = 122*w - 96 - 300 + 30. Factor -j**2 + 2/3*j + 0 + 1/3*j**w.
j*(j - 2)*(j - 1)/3
Suppose -8*p = -3*p - 170. Suppose p - 34 - 4*f**2 - 8*f + 4*f**3 = 0. Calculate f.
-1, 0, 2
Suppose -10*r + 5*r - 40 = 0. Let k be 2/r + (-210)/(-8). Factor k*i - 28*i - i**2 + 2*i**2.
i*(i - 2)
Suppose 6 = 4*y + 2*x, -x + 1 = y - 0*x. Let s be 1 + 2 + (-1 - -3 - 0). Find n such that 5*n**2 - 4*n + y + s*n - 3*n**2 + 3*n = 0.
-1
Let t(w) = 33*w - 3*w**2 - w**2 + 12*w**2 - 9 + 31. Let f(b) = -9*b**2 - 34*b - 21. Let v(k) = -3*f(k) - 4*t(k). Determine s so that v(s) = 0.
-5, -1
Let l(h) = -h**3 + h**2 + 2*h + 5. Let d be l(0). Suppose -86 + 86 - 3*p**5 - 12*p**2 + 0*p**d + 12*p**4 - 9*p**3 + 12*p = 0. Calculate p.
-1, 0, 1, 2
Factor 1/2*s**2 - 87/2*s - 44.
(s - 88)*(s + 1)/2
Let -289/7*s + 0 - 1/7*s**3 - 34/7*s**2 = 0. Calculate s.
-17, 0
Let 3*z**4 - 209*z**3 - 4*z**2 + 217*z**3 - 7*z**4 = 0. Calculate z.
0, 1
Let u = 32 + -24. Factor 19 - 15*r**3 + 57*r - 29 - u - 24*r**2.
-3*(r - 1)*(r + 3)*(5*r - 2)
Factor -114/23*p - 2/23*p**3 + 60/23*p**2 + 56/23.
-2*(p - 28)*(p - 1)**2/23
Suppose -9*c = -15*c - 0*c. Let o(n) be the second derivative of 1/20*n**4 + 3/10*n**3 - 9/100*n**5 - 3/10*n**2 + c + n. Solve o(y) = 0 for y.
-1, 1/3, 1
Let r(t) be the first derivative of -11 + 1/16*t**4 - 1/2*t**2 - 2*t + 1/6*t**3. Factor r(v).
(v - 2)*(v + 2)**2/4
Let p(s) be the third derivative of 0*s**3 + 0*s - 34*s**2 + 1/100*s**6 + 1/60*s**4 + 0 + 1/525*s**7 + 1/50*s**5. Factor p(b).
2*b*(b + 1)**3/5
Let g = 6363 - 6361. Solve 0 - 1/2*u**g - 1/2*u = 0 for u.
-1, 0
Factor 50/13*z**2 + 0 + 54/13*z**4 + 2/13*z**5 + 0*z + 102/13*z**3.
2*z**2*(z + 1)**2*(z + 25)/13
Factor -3*q**4 + 13*q**4 - 8*q**5 + 16*q**3 - 2*q**4 + 9*q**5.
q**3*(q + 4)**2
Let x(c) = -4*c**3 - c**2 + 1. Let g be x(1). Let q be 1/(-4) - 69/g. Let 2 - q*y**2 - 10 + 19*y**2 = 0. What is y?
-2, 2
Suppose -7*t + 10*t + 3 = 0. Let q be t/(-5) + (-196)/(-20) + -8. Find a such that -4/3*a + 2/3*a**q + 4/3*a**3 - 2/3*a**4 + 0 = 0.
-1, 0, 1, 2
Let a(y) be the first derivative of y**6/24 + 3*y**5/10 + 9*y**4/16 + y**3/3 + 407. Suppose a(v) = 0. What is v?
-4, -1, 0
Let a = -5 + 4. Let k be a/((1 - 2)/17). Suppose 5*m**2 - m**2 - m**2 + k - 5 - 12*m = 0. What is m?
2
Let r(p) = 5*p**2 - 11*p + 2. Let b(z) = -z**2 + 2*z + 14. Let l be b(5). Let g(c) = c**2 - c - 2. Let d(s) = l*r(s) + 4*g(s). What is w in d(w) = 0?
2, 5
Factor -7*r**3 + 25 - 115 + 90*r**2 - 3*r + 9*r**3 + r + 0*r.
2*(r - 1)*(r + 1)*(r + 45)
Let c(k) be the third derivative of -k**6/180 + k**5/20 + 11*k**3/6 + 14*k**2. Let u(d) be the first derivative of c(d). Find j, given that u(j) = 0.
0, 3
Let q(y) be the first derivative of 4*y**3/3 - 140*y**2 + 4900*y + 652. Factor q(h).
4*(h - 35)**2
Let d(r) = 8*r - 15. Let f be d(6). Let z be (-2)/(-1 + 7) + 22/f. Solve 1/3*i**5 + z*i + 2*i**3 + 4/3*i**2 + 4/3*i**4 + 0 = 0 for i.
-1, 0
Let p(t) = 5*t**3 + 21*t**2 - 8*t - 117. Let q(d) = -6*d**3 - 18*d**2 + 8*d + 116. Let v(a) = -4*p(a) - 3*q(a). What is j in v(j) = 0?
-15, -2, 2
Let h(l) be the second derivative of -l**5/4 - 5*l**4/6 + 5*l**3/6 + 5*l**2 + 9*l. What is z in h(z) = 0?
-2, -1, 1
Let v be -3*(5 - 3)*3/(-135). Let t(x) be the third derivative of -v*x**5 + 7*x**2 + 0 - 2/9*x**3 + 1/36*x**6 + 0*x + 1/4*x**4. Factor t(k).
2*(k - 1)**2*(5*k - 2)/3
Let a(i) = -10*i**3 + 10*i**2 - 320*i + 805. Let p(o) = -3*o**3 + 1. Let z(d) = a(d) - 5*p(d). Suppose z(h) = 0. What is h?
-10, 4
Let q = 85 - 82. Factor 9*p**3 + 72*p - 27*p**2 + 4 - 6*p**q - 13 - 39.
3*(p - 4)**2*(p - 1)
What is k in -58*k - 58*k - 80*k**5 + 350*k**2 + 122*k**4 + 78*k**5 - 354*k**3 = 0?
0, 1, 58
Let k(u) be the third derivative of -u**6/90 - u**5/15 + 5*u**3/6 - 6*u**2. Let y(f) be the first derivative of k(f). Find w such that y(w) = 0.
-2, 0
Let u(z) be the first derivative of -4 - z + 2/11*z**2 + 7/33*z**3 + 2/33*z**4 - 2/55*z**5. Let x(o) be the first derivative of u(o). Factor x(r).
-2*(r - 2)*(2*r + 1)**2/11
Let x(k) = 4*k**5 - 2*k**4 - 8*k**3 - 2*k - 2. Let d(n) = -4*n**5 + n**4 + 8*n**3 + 3*n + 3. Let q(u) = 2*d(u) + 3*x(u). Determine t, given that q(t) = 0.
-1, 0, 2
Let n(k) be the second derivative of k**6/40 + 3*k**5/20 - 2*k**3 + 19*k**2 - 23*k. Let m(s) be the first derivative of n(s). Factor m(d).
3*(d - 1)*(d + 2)**2
Let z(q) be the third derivative of 0*q + 0 + 1/1050*q**7 - 1/30*q**4 + 2/15*q**3 + 1/300*q**6 - 1/100*q**5 + 26*q**2. What is t in z(t) = 0?
-2, 1
Let i(n) be the first derivative of -2*n**5/25 - n**4/5 + 18*n**3/5 - 52*n**2/5 + 56*n/5 - 315. What is v in i(v) = 0?
-7, 1, 2
Let l be ((0 - 0)/(-6))/(-2). Let y(u) be the second derivative of 0*u**4 + 0*u**3 - 1/40*u**5 + l + 0*u**2 + u. What is m in y(m) = 0?
0
Let z = 41/178 + 425/1246. Let z + 8/7*o + 4/7*o**2 = 0. What is o?
-1
Sup