3/3 + 9*f - 3. Let p(n) be the second derivative of t(n). Let p(z) = 0. Calculate z.
-1, 0, 2
Factor -1/3*j**2 - 1225/3*j + 0.
-j*(j + 1225)/3
Let j(b) = b**2 + 3*b + 1. Let q be j(-4). Find x such that 17*x**2 + 45*x**3 - 45*x**5 + 5*x**4 + 8*x**2 + 40*x**q + 10*x**4 = 0.
-1, 0, 5
Let q = -162 + 101. Let d = q + 74. Factor -d*z**2 - 12*z - 9 + 6*z**2 + 4*z**2.
-3*(z + 1)*(z + 3)
What is k in -302 + k**3 - 27 - 2*k**3 - k**3 + 32*k**2 + 5 - 90*k = 0?
-2, 9
Let m(r) be the second derivative of -13*r + 23/21*r**4 + 0 + 16/21*r**3 - 32/7*r**2 - 1/5*r**5 - 2/15*r**6 - 2/147*r**7. Suppose m(a) = 0. What is a?
-4, -1, 1
Let o(m) be the first derivative of 246 + 9/5*m**5 + m**3 - 12*m - 1/6*m**6 - 19/4*m**4 + 10*m**2. Let o(j) = 0. What is j?
-1, 1, 2, 6
Let x be (2 + (0 - 52/24))*-18. Suppose 5*s - 4*i + 12 = x*s, -5*i + 15 = s. Solve -1/7*q**3 + 4/7*q**2 + s*q + 0 = 0 for q.
0, 4
Let s(l) be the third derivative of -5*l**8/336 + 16*l**7/21 - 15*l**6/4 + 22*l**5/3 - 145*l**4/24 - 1031*l**2. Factor s(z).
-5*z*(z - 29)*(z - 1)**3
Let f = -162 + 162. Factor -27*t**3 + t**2 - 11*t + f + 28*t**3 + 10*t - 1.
(t - 1)*(t + 1)**2
Let w(a) be the first derivative of -19*a + 2/3*a**3 + 27 + 1/6*a**4 - 3*a**2. Let l(r) be the first derivative of w(r). Suppose l(q) = 0. Calculate q.
-3, 1
Let x(c) = 60*c - 64. Let v be x(1). Let f(n) = n**4 + n**2 + n. Let r(y) = 2*y**4 + 6*y**3 - 7*y. Let l(o) = v*r(o) + 12*f(o). Solve l(h) = 0.
-1, 0, 2, 5
Let r(f) be the third derivative of f**7/70 - 29*f**6/120 + 29*f**5/20 - 91*f**4/24 + 5*f**3 - f**2 + f + 170. Find x, given that r(x) = 0.
2/3, 1, 3, 5
Let v(f) be the second derivative of -f**4/4 - 7*f**3/2 - 9*f**2 - 2077*f. Let v(x) = 0. Calculate x.
-6, -1
Let j = -33 + 52. Let t = 9 + -4. Suppose 1 + 6*w - 3*w**2 - t - 6 + j = 0. Calculate w.
-1, 3
Let f(a) be the third derivative of 9/14*a**3 - 72 + 0*a + 0*a**4 - 1/140*a**5 - 2*a**2. Factor f(c).
-3*(c - 3)*(c + 3)/7
Suppose -2*o - 16 = -5*m, -4*m - 1032*o = -1034*o - 14. Factor 29/4*c**m - 9/4*c**3 - 39/4*c + 9/2 + 1/4*c**4.
(c - 3)**2*(c - 2)*(c - 1)/4
Suppose -x = -4*c + 10, 4*c + 4*x = x + 2. What is d in 3*d - 148 + 2*d + 50*d**2 + 138 + 25*d**3 - 10*d**c = 0?
-1, 2/5
Let d(y) be the second derivative of -y**4/36 + 8*y**3/9 + 155*y**2/2 + 30*y + 37. Factor d(k).
-(k - 31)*(k + 15)/3
Let -3/5*w**2 + 2076/5*w - 359148/5 = 0. Calculate w.
346
Factor 4362/19*r + 4/19*r**2 - 2182/19.
2*(r + 1091)*(2*r - 1)/19
Let o(a) = 3*a**2 - 5*a + 12. Let b(m) = -m. Let r(p) = -b(p) + o(p). Let k(s) = -2*s**2 + 3*s - 13. Let i(l) = 4*k(l) + 3*r(l). Find d, given that i(d) = 0.
-4, 4
Let s = 6344/142035 - -4/1671. Let k = s - -6/17. What is l in 0*l - 8/5 + k*l**2 = 0?
-2, 2
Suppose 2*x = -4*g - 24, 10*x + 12 = 2*g + 9*x. Factor -1/3*i**2 - 1/3*i**4 + g - 2/3*i**3 + 0*i.
-i**2*(i + 1)**2/3
Let n(f) be the second derivative of f**4/42 - 6*f**3/7 - 19*f**2/7 + 121*f - 2. Factor n(l).
2*(l - 19)*(l + 1)/7
Suppose -18/11*n**4 + 0 - 78/11*n**2 + 0*n + 98/11*n**3 - 2/11*n**5 = 0. What is n?
-13, 0, 1, 3
Let i(p) be the third derivative of 67*p**2 + 1/840*p**6 - 2/21*p**3 + 0 + 0*p + 1/140*p**5 + 0*p**4. Factor i(j).
(j - 1)*(j + 2)**2/7
Let l(g) be the first derivative of -5*g**3/3 + 355*g**2/2 + 1110*g - 1292. Determine o, given that l(o) = 0.
-3, 74
Let k be (-5 - 1) + (-4)/(-200)*306. Let d = 71/175 - k. Factor d*q**3 - 24/7 + 32/7*q - 2*q**2.
2*(q - 3)*(q - 2)**2/7
Suppose 25*i - 177 = 123. Factor 42 - 5*v**2 + 3*v**2 - i*v + 56*v + 4*v**2.
2*(v + 1)*(v + 21)
Let j = 24/163 - -5470/489. Let w = j + -65/6. Determine o, given that o + 0 + w*o**3 + 3/2*o**2 = 0.
-2, -1, 0
Let x(o) = -o**2 - 9*o + 23. Let l be x(-11). Suppose -3*z + 17 = -5*t + l, -5*t = -2*z + 4. Factor 5*p**2 - 8 + p - z - p.
5*(p - 2)*(p + 2)
Let t(r) = -r**2 + 380*r - 1138. Let c(n) = -189*n + 570. Let p(a) = -7*c(a) - 3*t(a). Factor p(o).
3*(o - 3)*(o + 64)
Suppose 0 = 3*d - 12 - 3, -17 = -4*y + 3*d. Suppose -y = -17*r + 9*r. Factor -r - 1/2*w**2 - 3/2*w.
-(w + 1)*(w + 2)/2
Let d(c) be the first derivative of c**4/96 + 19*c**3/48 + 9*c**2/8 - 342*c + 276. Let q(l) be the first derivative of d(l). Suppose q(u) = 0. What is u?
-18, -1
Let l = 4063 - 48751/12. Let y(f) be the second derivative of 0*f**3 + 5/42*f**7 + 3/4*f**5 - 21*f - 1/2*f**6 + 0 + 0*f**2 - l*f**4. What is a in y(a) = 0?
0, 1
Let o(d) = -35*d**5 + 3*d**3 + 3*d**3 - 41*d**3 + 5*d**2 + 55*d**4 - 7 - 3. Let k(f) = -f**5 - 1. Let q(w) = -10*k(w) + o(w). Factor q(l).
-5*l**2*(l - 1)**2*(5*l - 1)
Let m = 2/7279 + 21823/50953. Let h be -2*(-1)/(-14)*-192. Determine u, given that 48/7*u + m*u**2 + h = 0.
-8
Let x(h) = 556*h**2 - 11*h. Let n(y) = 585*y**2 - 10*y. Let f(w) = -6*n(w) + 5*x(w). Determine z, given that f(z) = 0.
0, 1/146
Let g(x) be the first derivative of -1/2*x**4 + 5/2*x**2 + 0*x + 192 - 1/20*x**5 - 11/12*x**3. Factor g(o).
-o*(o - 1)*(o + 4)*(o + 5)/4
Let q be (-3220)/(-552) + 24/(-18). Suppose -64*w = -68*w + 16. Factor 0 + q*s**2 - s + 11/2*s**w - 3/2*s**5 - 15/2*s**3.
-s*(s - 1)**3*(3*s - 2)/2
Let j(i) be the second derivative of i**6/420 + 4*i**5/35 + 12*i**4/7 + 3*i**2 - 33*i. Let k(o) be the first derivative of j(o). Factor k(m).
2*m*(m + 12)**2/7
Let u be 5*((-2 - (-4 + -2)) + -3). Let v(y) be the first derivative of 0*y + 0*y**4 - 3/5*y**u + 42 + y**3 + 0*y**2. Factor v(a).
-3*a**2*(a - 1)*(a + 1)
Let n(k) be the first derivative of 0*k**2 - 1/3*k**4 + 0*k - 1/6*k**5 - 2/9*k**3 + 84 - 1/36*k**6. Factor n(z).
-z**2*(z + 1)*(z + 2)**2/6
Let u be 3/((348/1600)/(-29)). Let j be (1 - 7/4)/(350/u). Let j*n**4 - 88/7*n - 52/7*n**3 + 24/7 + 110/7*n**2 = 0. What is n?
2/3, 1, 6
Suppose 4*r - 5*u = 87, 3*r - 4*u = r + 48. Suppose r = 2*k + 14. Determine v, given that -15*v**k + 10*v**3 + 6*v + 5*v**4 + 6 + 14 - 26*v = 0.
-2, 1
Let g(x) be the third derivative of 1/3*x**3 + 0 + 0*x + 3/4*x**4 - 38*x**2 + 3/5*x**5. Suppose g(r) = 0. What is r?
-1/3, -1/6
Suppose -21*u + 455 = -1645. Factor -277 - u*a - 173 - 122 + 72 - 5*a**2.
-5*(a + 10)**2
Let l be (-1898)/(-1001) - (-6)/(-22)*(-44)/(-66). Factor 8/7*o + l*o**2 + 0 + 4/7*o**3.
4*o*(o + 1)*(o + 2)/7
Suppose -54/11*l**3 + 68/11*l**2 + 0 - 8/11*l**4 + 2/11*l**5 + 112/11*l = 0. What is l?
-4, -1, 0, 2, 7
Let k = -233/24 + 1189/120. What is z in -2/5 + 2/5*z**2 - 1/5*z + k*z**3 = 0?
-2, -1, 1
Suppose 41*d + 217 = 340. Let i(m) be the first derivative of -3/32*m**4 - 3/8*m - 3/8*m**d - 9/16*m**2 + 1. Let i(q) = 0. What is q?
-1
Let s(y) be the second derivative of -y**5/180 + 5*y**4/54 - 8*y**3/27 - 2*y - 1982. Find a such that s(a) = 0.
0, 2, 8
Let o(w) be the second derivative of -58/9*w**3 - 1/15*w**5 - 16/9*w**4 + 3*w - 6 - 28/3*w**2. Find q such that o(q) = 0.
-14, -1
Let k(u) be the first derivative of -3*u**5/25 - 21*u**4/20 + 552*u**3/5 - 1632*u**2 + 47616*u/5 - 256. Let k(o) = 0. Calculate o.
-31, 8
Factor 4/9 - 10052/3*f + 6315169*f**2.
(7539*f - 2)**2/9
Let h be (4/(-30)*-3)/(-6 + (-1448)/(-240)). Let g(o) be the first derivative of o**4 - 20/3*o**3 - 5 + 14*o**2 - h*o. Factor g(d).
4*(d - 3)*(d - 1)**2
Let f(w) be the first derivative of w**3/3 + 11*w**2 + 98*w - 21. Let a be f(-16). Factor -28/3*c**a + 64/3*c - 16/3.
-4*(c - 2)*(7*c - 2)/3
Let y(i) be the first derivative of 2*i**5/5 + 27*i**4 - 240*i**3 + 5379. Factor y(a).
2*a**2*(a - 6)*(a + 60)
Let f be (-8)/6*(430/(-1376) - 1/(-4)). Let v(d) be the second derivative of -f*d**5 - 15*d + 0 - 5/12*d**4 + 0*d**2 + 10/9*d**3. Factor v(w).
-5*w*(w - 1)*(w + 4)/3
Let p(t) be the second derivative of 1/24*t**3 + 0 + 1/48*t**4 - 3/4*t**2 + 5*t. Factor p(y).
(y - 2)*(y + 3)/4
Let z = 64 + -74. Let v be z/36*84/(-105). Factor 20/9*q + 50/9 + v*q**2.
2*(q + 5)**2/9
Let p(q) be the second derivative of 0 + 6241/8*q**2 + 1/48*q**4 + 129*q - 79/12*q**3. What is s in p(s) = 0?
79
Suppose -258 - 81 = 3*n - 5*c, -7*n + 4*c - 768 = 0. Let x be 1 + -3 - (2 - n/(-26)). Solve -2/13*k**4 - x - 6/13*k + 4/13*k**2 + 12/13*k**3 - 6/13*k**5 = 0.
-1, -1/3, 1
Suppose 18*r - 21*r + 21 = 0. Let c be (-1)/(-2)*(r - -11). Factor c + 9*y - 8 - 3*y**3 + 5.
-3*(y - 2)*(y + 1)**2
Suppose 10906 = 1603*c - 3521. Suppose 21/2*l + 4*l**2 + 1/2*l**3 + c = 0. Calculate l.
-3, -2
Let i(l) be the third derivative of 2*l**7/105 + l**6/15 - 19*l**5/15 + 14*l**4/3 - 8*l**3 -