derivative of 3/4*m**4 + 16 + 3/2*m**2 + f*m**3 + 0*m. Find h such that g(h) = 0.
-1, 0
Suppose 2 = 6*g - 334. Let n be -5 - (-296)/g*1. Suppose 0*d + 2/7*d**2 - n = 0. What is d?
-1, 1
Let m(a) be the third derivative of -a**7/42 + 11*a**6/24 + a**5 - 37*a**2 - 10*a + 3. Solve m(g) = 0.
-1, 0, 12
Let p = 732 + -732. Let a(g) be the second derivative of -g**3 - 9*g**2 - 1/24*g**4 - 19*g + p. Factor a(c).
-(c + 6)**2/2
Let c = -295650 - -295710. Find s, given that -c*s**2 + 136/3*s - 80/9 + 50/9*s**3 = 0.
2/5, 10
Let v(r) be the third derivative of 7/40*r**5 - 1/60*r**6 - r**2 + 0 + 19/48*r**4 - 1/2*r**3 + 53*r. Determine m, given that v(m) = 0.
-1, 1/4, 6
Suppose 8*x - 20*x - 2268 = 0. Let g = x - -191. Factor 0 - 1/3*a**g - 1/3*a.
-a*(a + 1)/3
Let q(b) be the first derivative of 2*b**4 + 218*b**3/33 + 3*b**2 - 36*b/11 - 1088. Determine l, given that q(l) = 0.
-2, -3/4, 3/11
Let y be (-190)/(-70) - (-4)/14. Let a be (45/(-6))/y*(-4)/22. Factor a*n**3 - 1/11*n**2 + 0 - 1/11*n - 3/11*n**4.
-n*(n - 1)**2*(3*n + 1)/11
Let v(a) be the second derivative of 1/2*a**4 + 9 - 12*a**2 - 4/3*a**3 + 1/10*a**5 - a. Factor v(g).
2*(g - 2)*(g + 2)*(g + 3)
Let z(r) be the second derivative of r**5/50 + 41*r**4/30 + 238*r**3/15 - 23*r - 11. Find y, given that z(y) = 0.
-34, -7, 0
Let k(t) be the third derivative of -258*t**2 + 1/60*t**4 + 0*t**3 + 0*t - 1/150*t**5 + 0. Factor k(b).
-2*b*(b - 1)/5
Let g(q) be the second derivative of 9/2*q**4 - 2*q**3 + 1/480*q**6 - 3/20*q**5 + 0 + 0*q**2 + 46*q. Let j(y) be the second derivative of g(y). Factor j(w).
3*(w - 12)**2/4
Suppose 0*s = 2*b - 3*s - 664, 0 = b + 2*s - 339. Solve -332*g**4 - b*g**4 + 668*g**4 - 12*g**3 + 36*g**2 = 0.
0, 6
Let u(k) be the third derivative of -7*k**6/1440 - 197*k**5/720 - 175*k**4/36 - 49*k**3/18 + 112*k**2. Factor u(y).
-(y + 14)**2*(7*y + 1)/12
Let t(x) be the third derivative of -x**5/20 + 65*x**4/4 + 13*x**2 + 7*x. Factor t(d).
-3*d*(d - 130)
Let y(x) be the third derivative of 7/75*x**6 + 0*x**3 + 8/75*x**5 + 1/168*x**8 + 0*x - 4/75*x**7 + 4 - x**2 + 0*x**4. Determine l so that y(l) = 0.
-2/5, 0, 2, 4
Factor 17/4*b - 9/2 + 1/4*b**2.
(b - 1)*(b + 18)/4
Let n = 2024 - 2023. Let z(c) be the first derivative of n + 0*c**2 + 0*c**3 - 12/5*c**5 + 2*c**4 + 2/3*c**6 + 0*c. Solve z(a) = 0.
0, 1, 2
Let n = -92 + 99. Let y = 6 - 3. Suppose 3*h - 13*h**3 - 16*h**y + 34*h**3 + h**4 + n*h**2 = 0. What is h?
-3, -1, 0
Suppose 0*g + 4 = g. Let s = -28166 - -140839/5. Factor 1/5*a**5 + s*a**3 + 7/5*a**2 + a**g + 0 + 2/5*a.
a*(a + 1)**3*(a + 2)/5
Let h = 83/33 + -24/11. Let b(t) = -50*t**2 + 216*t - 64. Let i be b(4). Factor 1/6 + 1/3*c**3 - h*c - 1/6*c**4 + i*c**2.
-(c - 1)**3*(c + 1)/6
Factor -72 - 2/3*b**2 + 14*b.
-2*(b - 12)*(b - 9)/3
Let t be ((-2)/56)/((-3508)/12278). Determine y so that -1/8*y**2 + 0 + 5/8*y**3 - 5/8*y + t*y**4 = 0.
-5, -1, 0, 1
Let n(h) = 2*h**3 - 418*h**2 - 1956*h + 2407. Let s(i) = i**3 - 419*i**2 - 1958*i + 2406. Let v(g) = 6*n(g) - 7*s(g). Let v(p) = 0. Calculate p.
-80, -6, 1
Find s such that 369/5*s - 3/5*s**3 - 366/5*s**2 + 0 = 0.
-123, 0, 1
Find q, given that 18/11*q**3 - 6/11*q**4 - 2/11*q**5 + 0 - 10/11*q**2 + 0*q = 0.
-5, 0, 1
Let z(o) = o**3 + 19*o**2 - 41*o + 8. Let v(d) = -3*d. Let w(a) = -21*v(a) + 3*z(a). Let k(i) = 2*i**3 - i**2 + 1. Let m(n) = 12*k(n) - w(n). Factor m(l).
3*(l - 2)*(l - 1)*(7*l - 2)
Let f(c) be the first derivative of 2*c**5/55 + 3*c**4/11 - 18*c**3/11 + 4*c**2/11 + 72*c/11 - 3127. Let f(o) = 0. What is o?
-9, -1, 2
Suppose -35*y = 28*y - 16*y. Factor 0*z**3 + 0*z**2 + y - 1/5*z**4 + 0*z.
-z**4/5
Let l(k) be the second derivative of k**6/2 - 5*k**5/2 + 25*k**3/3 - 15*k**2/2 - 903*k. Let l(v) = 0. Calculate v.
-1, 1/3, 1, 3
What is y in -1 - 1/7*y**3 - 5/7*y**2 + 13/7*y = 0?
-7, 1
Let d be (-4)/(-42) + ((-19525)/462 - -13). Let t = d + 59/2. Factor -t*l**2 - 25/3 - 10/3*l.
-(l + 5)**2/3
Let m(r) = -r + 52. Let q be m(-24). Factor -24*v - 191*v**4 + 155*v**4 + 46*v**3 - 130*v**3 - q*v**2 - 4*v**5.
-4*v*(v + 1)**3*(v + 6)
Let p(l) be the second derivative of l**6/150 - 13*l**5/25 + 17*l**4/20 - 357*l - 9. Factor p(i).
i**2*(i - 51)*(i - 1)/5
Let j be (-2 + -1)/((165/(-10))/11). Factor -j*w**4 + 146*w**2 - 15*w**3 - w**4 - 158*w**2.
-3*w**2*(w + 1)*(w + 4)
Let t(h) be the first derivative of 44*h**5/25 - 79*h**4/5 + 232*h**3/15 + 248*h**2/5 - 96*h/5 - 1175. Suppose t(k) = 0. Calculate k.
-1, 2/11, 2, 6
Let x(f) be the first derivative of -2*f**2 + 77 + 28*f + 1/21*f**3. Factor x(u).
(u - 14)**2/7
Let b(h) = -h**2 - 32*h + 45. Let t be b(-33). Suppose t*a + 440 = 464. Factor -216/7*k**3 - 2/7*k - 432/7*k**4 - 36/7*k**a + 0.
-2*k*(6*k + 1)**3/7
Let l(d) = -d**3 + 11*d**2 - 8*d - 17. Let k be l(10). Factor 5*s**4 - 5*s**2 - 30*s + 10*s**k + 37*s**3 - 17*s**3.
5*s*(s - 1)*(s + 1)*(s + 6)
Suppose 2*o = 4*o - 6. Suppose -o*m = -28 - 32. Factor t**5 - 30*t**3 - 6*t + 36*t + 10*t + 5*t**4 + 4*t**5 - m*t**2.
5*t*(t - 2)*(t - 1)*(t + 2)**2
Suppose -12/5*w**5 - 1446/5*w**3 + 408/5*w**2 + 135 + 2898/5*w + 357/5*w**4 = 0. Calculate w.
-1, -1/4, 3, 25
Let f(j) be the first derivative of 6/11*j**2 + 45 - 2/11*j**4 + 2/33*j**3 + 2/55*j**5 + 0*j. Find i, given that f(i) = 0.
-1, 0, 2, 3
Let b(a) be the third derivative of -a**8/504 + 16*a**7/45 - 109*a**6/180 - 37*a**5/15 + 6290*a**2. Solve b(o) = 0 for o.
-1, 0, 2, 111
Let j(n) be the second derivative of n**4/12 + 85*n**3/6 - 67*n. Factor j(h).
h*(h + 85)
Let o(z) = -z**3 - 5*z**2 - 4*z - 7. Let y be o(-4). Let u be (-184)/y + (-240)/56 + 4. Factor 6*h + 2 - u*h**2 + 32*h**2 + 7*h**3 - 5*h**3.
2*(h + 1)**3
Let p(f) be the second derivative of -f**4/42 + 94*f**3/21 + 56*f**2 - 15102*f. Factor p(v).
-2*(v - 98)*(v + 4)/7
Let l(i) be the third derivative of -i**8/168 + 31*i**7/105 - 39*i**6/10 + 247*i**5/15 + 235*i**4/12 - 175*i**3 + 4181*i**2. Solve l(y) = 0.
-1, 1, 5, 21
Let s(p) be the second derivative of -13*p**2 + 1/4*p**5 - 25/12*p**4 - 36*p + 5/2*p**3 + 0. Let v(g) be the first derivative of s(g). Factor v(a).
5*(a - 3)*(3*a - 1)
Let j be 1*(((-2)/(-10))/(156/(-60)) - (-351)/169). Suppose 1/3*m**j + 0*m - 1/3*m**4 + 1/3*m**5 + 0 - 1/3*m**3 = 0. What is m?
-1, 0, 1
Factor -97/4*v**2 + 1/4*v**4 - 3/4*v**3 + 99/4*v + 0.
v*(v - 11)*(v - 1)*(v + 9)/4
Let w = 472593 + -2362964/5. What is l in 0 + 1/5*l**2 + w*l**5 - 1/5*l**4 + 2/5*l - 3/5*l**3 = 0?
-1, 0, 1, 2
Let j = 84 - 82. Let 8 - 433*l**j + 799*l**3 - 124*l + 416*l**2 + 289*l**4 + 395*l**2 = 0. Calculate l.
-2, -1, 2/17
Let n(w) = -w**3 + 7*w**2 - 8*w - 14. Let g be n(4). What is o in 222*o + 4107 - 329*o**2 + 652*o**2 - 320*o**g = 0?
-37
Factor -2/5*f**3 - 38/5*f**2 - 28*f + 0.
-2*f*(f + 5)*(f + 14)/5
Factor 4614*i**2 - 4612*i**2 - 362 - 1158*i - 798.
2*(i - 580)*(i + 1)
Let q(z) = -z**2 - 26 + 2*z**2 - 218*z + 216*z + z**2 + 10. Let k(y) = -y**2 - y. Let i be 2/((-1)/(-1))*-1. Let x(c) = i*k(c) + q(c). Let x(s) = 0. What is s?
-2, 2
Let n be 20/(-21)*(-2148)/3580. What is q in n*q**2 + 0 - 20/7*q = 0?
0, 5
Suppose -6*v - 72 = -564. Let h = v - 79. Determine y, given that 8 - 8*y**h - 204*y**2 + 198*y**2 + 6*y**3 = 0.
-2, 1
Let l be ((-11)/2)/(55/10 - 6). Let c be l/44 - (2 + -2). Factor -3/4 - 1/2*h + c*h**2.
(h - 3)*(h + 1)/4
Solve -24 - 1012/7*a**2 - 172/7*a**4 + 678/7*a**3 + 673/7*a + 1/7*a**5 = 0 for a.
1, 168
Factor -12*k**2 + 2/13*k**4 + 0*k - 74/13*k**3 + 0.
2*k**2*(k - 39)*(k + 2)/13
Suppose a - 2*s + 18 = 0, -3*a + 4*s - 214 + 178 = 0. Solve 1/5*m**2 + a + 1/5*m**5 + 0*m - 1/5*m**4 - 1/5*m**3 = 0 for m.
-1, 0, 1
Let k be 16/6*(25/(-10) + 4). Factor -9*p**k + p - 311*p**2 - 24*p**3 + 291*p**2 - p**5 - p.
-p**2*(p + 2)**2*(p + 5)
Let b be 176/76 + -2 - 403062/(-3743). Let -72/5*m**3 + 564/5*m**2 + 48/5 + 64*m - b*m**4 = 0. What is m?
-2/3, -1/3, 6/5
Let 120391 + 336*l - 41*l**4 - 16*l**4 - 519*l**2 - 3*l**5 - 333*l**3 - 119815 = 0. Calculate l.
-8, -3, -1, 1
Let t = 12 - 10. Let k be 0 - (5 - -3)/(-1*t). Factor -6*l**4 + 2*l**2 + 10*l**3 + 0*l**k + 8*l**4 - 2*l**5 + 4*l**2.
-2*l**2*(l - 3)*(l + 1)**2
Let f(q) be the second derivative of -q**4/66 + 7*q**3/11 - 98*q**2/11 + 351*q + 2. Suppose f(t) = 0. Calculate t.
7, 14
Let y(m) = -2*m + 14. Let u be y(6). Let n(p) = 2*p**2 - 3*p + 2. Let q be n(u). Factor -1330 - 12*a**q - 6*a - 15*a**2 + 1330 