 - 7/4*i + 1 = 0?
-1, 4/9, 2
Let p(j) be the first derivative of j**7/420 - j**6/10 - j**5/60 + 3*j**4/2 + 2*j**3/3 + 34. Let z(w) be the third derivative of p(w). Let z(y) = 0. What is y?
-1, 1, 18
Let d(t) be the second derivative of -1/3*t**5 - 1/90*t**6 + 0*t**2 - 2 + 0*t**4 - 19*t + 0*t**3 + 1/126*t**7. Solve d(u) = 0 for u.
-4, 0, 5
Let y(t) be the first derivative of 2*t**3/3 + 392*t**2 + 76832*t - 348. What is i in y(i) = 0?
-196
Let u(f) = -5*f**2 + 16*f - 33. Let g(d) = 1 + d**2 + 39233*d - 39233*d. Let j(q) = 6*g(q) + 2*u(q). What is m in j(m) = 0?
3, 5
Let s = 110994 - 110992. Solve -1/2 - 1/2*f**s - 5/3*f + 2*f**3 + 2/3*f**4 = 0 for f.
-3, -1/2, 1
Let w(j) = j**2 + 29*j - 151. Let d be w(-34). Let y(z) be the second derivative of 0 - 2/3*z**3 + 0*z**2 - 1/3*z**4 + d*z. Factor y(f).
-4*f*(f + 1)
Suppose 0 = -2*m - r + 31, -3*m + 39 = -r - 5. Suppose -5*a = -3*c + 361 + m, -c + 4*a + 137 = 0. Let -7 + 103*b + 1 - 2*b**3 - 10*b**2 - c*b = 0. What is b?
-3, -1
Let t = -11881495/8 + 1485187. Find i, given that 5/8*i**4 - 5/8*i**2 + t*i**5 + 0 + 3/8*i**3 - 1/2*i = 0.
-4, -1, 0, 1
Let u(f) be the second derivative of -f**5/140 + 55*f**4/84 + f**3/42 - 55*f**2/14 + 76*f - 1. Factor u(y).
-(y - 55)*(y - 1)*(y + 1)/7
Let x = -533 - -536. Suppose -3*i = -c - x, 2*i - 23 + 21 = -4*c. Factor 0*p**3 + 4/5*p**5 + 0*p**2 + 0 + c*p - 4/5*p**4.
4*p**4*(p - 1)/5
Find w such that -315*w**2 - 921*w**2 + 445*w**3 + 27 - 2989*w**2 + 1080*w + 193 - 70*w**3 = 0.
-2/15, 2/5, 11
Factor -13*t**2 + 165 - 31*t + 71*t + 107*t + 6*t**2 - 11*t**2.
-3*(t + 1)*(6*t - 55)
Let t(z) be the second derivative of -7*z**5/5 + 82*z**4/3 - 286*z**3/3 + 136*z**2 + 873*z. Factor t(m).
-4*(m - 1)**2*(7*m - 68)
Let x(r) = -6*r - 26. Let q be x(-5). Suppose -30 + 10 = -q*t. Factor 20*y**3 + 153 - 137 - 32*y + 14*y**4 - 32*y**2 + t*y**5 + 9*y**4.
(y - 1)*(y + 2)**3*(5*y - 2)
Let b be ((-3993)/6)/11*(0 + 2). Let j be b/(-44) + 3/(-4). Let u**j - 11*u + 19*u + u**2 = 0. Calculate u.
-4, 0
Let x(c) be the second derivative of 3*c**5/140 + 25*c**4/28 + 54*c**3/7 - 486*c**2/7 - 1742*c. Factor x(j).
3*(j - 2)*(j + 9)*(j + 18)/7
Let k(l) be the second derivative of 23 + l + 6*l**2 + 53/6*l**3 - 3/8*l**4. Factor k(d).
-(d - 12)*(9*d + 2)/2
Factor 131 - 227*g**2 + 239*g**2 + 4341*g - 634 - 583.
3*(g + 362)*(4*g - 1)
Let o be (-12 + -1 + -1)/((-36)/18). Suppose -o*c + 12 = -100. Find k such that -2*k**2 - 10*k - 15*k - c - 56 + k = 0.
-6
Factor 2/7*n**3 + 4/7*n**2 + 20/7 - 26/7*n.
2*(n - 2)*(n - 1)*(n + 5)/7
Suppose 4*v - 4*d - 21 = -3*d, -2*d = 10. Factor -16*o**3 + o**4 - 13*o**4 + 8*o**4 + v*o**5 - 4*o**3 - 12*o**2.
4*o**2*(o - 3)*(o + 1)**2
Let o(l) be the second derivative of -l**4/12 - l**3 - 5*l**2/2 - 10*l. Let x be o(-5). Factor 2*z**2 - 6*z - 2*z + x*z**2 - 2 + 10.
2*(z - 2)**2
Solve -104/7*m + 8/7 + 46/7*m**2 + 50/7*m**3 = 0.
-2, 2/25, 1
Let f(q) be the second derivative of q**5/60 + 3*q**4 - 109*q**3/18 + 4*q + 354. Factor f(r).
r*(r - 1)*(r + 109)/3
Let s be 6/(-28)*((-42)/(-36))/((-6)/12). Suppose -7/2*v + 6 + s*v**2 = 0. Calculate v.
3, 4
Let q(h) be the third derivative of 2*h - 200*h**4 + 4*h**5 - 13*h**2 + 16000/3*h**3 - 1/30*h**6 + 0. Factor q(b).
-4*(b - 20)**3
Let t(n) be the second derivative of -n**5/60 - 2*n**4/9 + 487*n**3/18 + 247*n**2/3 + 7579*n. Let t(h) = 0. What is h?
-26, -1, 19
Let o(v) = -v**3 - 27*v**2 - 31*v - 17. Let d be o(-17). Let q be ((-2)/14)/(-4*(-51)/d). Let -10/3*k**3 + 5/3*k**4 + 0 - q*k**2 + 10/3*k = 0. Calculate k.
-1, 0, 1, 2
Let o(y) be the first derivative of -3*y**5/40 - y**4/8 + 4*y**3 - 15*y**2 + 50*y - 95. Let k(p) be the first derivative of o(p). Factor k(j).
-3*(j - 2)**2*(j + 5)/2
Suppose 2*s - 4*w = 20, 0 = -0*s + 2*s + w - 20. What is l in 35*l**2 + 13*l**4 + 16*l**4 - 34*l**4 - s*l**3 - 20*l = 0?
-4, 0, 1
Let t(d) be the third derivative of d**8/672 - 17*d**7/210 + 2*d**6/5 - 47*d**5/60 + 31*d**4/48 + 294*d**2 - d - 2. Factor t(o).
o*(o - 31)*(o - 1)**3/2
Let i be 64 - (-12 - (9 + -13)). Suppose -60*z + 48 = -i. Determine n so that n**z + 1/6*n**3 + 0 + 0*n = 0.
-6, 0
Let g(l) = -3*l**2 - 4421*l - 4853. Let k(y) = -4*y**2 - 6588*y - 7280. Let s(o) = 8*g(o) - 5*k(o). Find j such that s(j) = 0.
-606, -1
Let k(z) be the first derivative of 1/6*z**6 - 82 - 9/4*z**4 - 1/5*z**5 + 8*z**2 + 5/3*z**3 - 12*z. Suppose k(a) = 0. Calculate a.
-2, 1, 3
Let l be (-59)/(-1) + (-189468)/3324. Solve -5/4*p + 17/4*p**3 - 7/2 - 3/4*p**4 + 29/4*p**l = 0.
-1, 2/3, 7
Let h(y) be the third derivative of -1/660*y**5 + 5 + 0*y + 0*y**3 + 2*y**2 + 1/24*y**4. Suppose h(f) = 0. What is f?
0, 11
Suppose -5*j - 14 + 4 = 0, -j - 292 = -2*d. Factor 25/2*m**2 - 60 - d*m.
5*(m - 12)*(5*m + 2)/2
Suppose -18 = -4*s + 2*z, 5*s - 13 = 6*s + 3*z. Let 5*x**2 + 144*x + 4*x**2 - s*x**2 - 9*x**2 - 2592 = 0. Calculate x.
36
Let f be (4/10*3350/(-1876))/((-10)/7). Determine j so that 1/2*j**3 + 2 + 0*j - f*j**5 - 7/2*j**2 + 3/2*j**4 = 0.
-1, 1, 2
Let v = 25 - -9. Factor -35*c**3 + 25*c**4 + 7*c**5 - 25*c**2 - 7*c - c**5 - c**5 + v*c + 3*c.
5*c*(c - 1)**2*(c + 1)*(c + 6)
Let p = -4233406/5 - -846682. Factor -26/5*h**2 + 4*h + h**4 + p*h**3 - 3/5.
(h - 1)**2*(h + 3)*(5*h - 1)/5
Suppose -4*y = -3*v - 13 + 3, -2*v - 2*y + 12 = 0. Factor 2*m**2 + 29*m**2 - 23*m**v - 4*m**3 - 4*m.
-4*m*(m - 1)**2
Let l = -4503/2 + 2252. Let p(f) be the third derivative of 1/60*f**5 + 0 - l*f**3 + f**2 + 0*f + 1/12*f**4. Factor p(c).
(c - 1)*(c + 3)
Let h(s) be the third derivative of 0 + 75/2*s**3 + 2*s**2 + 10*s**4 + 1/210*s**7 + 2/15*s**6 + 47/30*s**5 + 13*s. Factor h(r).
(r + 3)**2*(r + 5)**2
Let l = -45 + 44. Let s be (1 - 1) + 5 + l. Factor 5*n**2 + s - 1 - 23.
5*(n - 2)*(n + 2)
Let o(c) = 18*c**2 + 2986*c + 562395. Let j(t) = 16*t**2 + 2988*t + 562410. Let k(u) = 7*j(u) - 6*o(u). Factor k(g).
4*(g + 375)**2
Suppose -30 = -2*r - 2*z, -51*z + 30 = -48*z. Solve 2/13*j**3 - 4/13*j - 6/13*j**4 + 6/13*j**2 + 2/13*j**r + 0 = 0.
-1, 0, 1, 2
Let y = 3998229/4 + -999557. Find b such that 31/4*b**3 - 9/2*b**2 + 1/2 - y*b - 7/2*b**4 = 0.
-2/7, 1/2, 1
Let g = -1758169/3 + 586066. Determine w so that 0 + 2*w - g*w**2 = 0.
0, 6/29
Let d(q) = -q**3 - 20*q**2 + 4*q + 82. Let o be d(-20). Suppose -16 - 42*y**2 - 129*y**3 - 13 - 3 - 58*y**o + 113*y**3 - 152*y = 0. What is y?
-4, -2, -1/4
Let a(v) = 124*v - 7688. Let k be a(62). Let x(u) be the second derivative of k + 5/3*u**3 + 6*u**2 - 7*u - 1/6*u**4. Factor x(t).
-2*(t - 6)*(t + 1)
Let o(y) be the second derivative of y**6/15 - 12*y**5/5 + 83*y**4/6 - 20*y**3 - 2351*y. Factor o(n).
2*n*(n - 20)*(n - 3)*(n - 1)
Solve 2145/4*m**2 + 2139/4 + 3/4*m**3 + 4281/4*m = 0.
-713, -1
Let q(x) be the first derivative of -1/15*x**5 - 1/2*x**2 - 125 - 7/9*x**3 + 0*x - 5/12*x**4. Suppose q(i) = 0. What is i?
-3, -1, 0
Suppose 0*m - 2*m = -3*x + 2019, 5*x - m - 3372 = 0. Let j be 15/9*54/x. What is b in -8/15*b**2 - 2/3*b - j*b**3 - 4/15 = 0?
-2, -1
Let v be 386/(-72) - 23/(-207). Let w = v + 109/20. Let -2/5*l**2 - w*l + 0 - 1/5*l**3 = 0. What is l?
-1, 0
Let m(q) be the first derivative of 3*q**4/4 + 163*q**3 + 1884*q**2 + 7440*q - 10690. Let m(l) = 0. Calculate l.
-155, -4
Let u(c) be the first derivative of 1/420*c**6 - 7*c**2 + 0*c - 1/60*c**5 - 1/21*c**3 - 8 + 1/24*c**4. Let n(g) be the second derivative of u(g). Factor n(r).
(r - 2)*(r - 1)*(2*r - 1)/7
Let q(d) = -375*d**3 + 1581*d**2 + 1088*d + 155. Let s(h) = -189*h**3 + 791*h**2 + 544*h + 77. Let b(x) = -3*q(x) + 5*s(x). Factor b(c).
4*(c - 5)*(5*c + 2)*(9*c + 2)
Factor -142*a - 428/3*a**2 - 2/3*a**3 + 0.
-2*a*(a + 1)*(a + 213)/3
Let o = -1738 - -1587. Let t = o - -485/3. Determine u so that -8*u + 2/3*u**3 + t + 0*u**2 = 0.
-4, 2
Factor -8/9*v + 238/3 - 2/9*v**2.
-2*(v - 17)*(v + 21)/9
Find r, given that 0 + 4/3*r**2 + 0*r + 2/3*r**3 - 2/3*r**4 = 0.
-1, 0, 2
Let i be (-9)/27*12/(-16). Let w = 145/3 - 287/6. Suppose 1/4 + w*u + i*u**2 = 0. What is u?
-1
Find k, given that 64/7*k**4 + 684/7*k**2 - 438/7*k**3 + 0*k + 2/7*k**5 + 0 = 0.
-38, 0, 3
Let j(o) be the first derivative of 35*o + 126 - 20*o**2 + 5/3*o**3. Factor j(x).
5*(x - 7)*(x - 1)
Let q(p) = 13*p - 345. Let y be q(26). Let m be (-5 - -3 - y) + (0 - 3). Determine x so that 2/15*x**3 + 2/5*x + 2/15 + 2/5*x**m = 0.
-1
Let y be 4*(-2217)/(-396) + (-90)/