, 0
Factor 1/9*h**2 - 337/9*h - 338/9.
(h - 338)*(h + 1)/9
Let s(f) be the second derivative of f**6/240 + 2*f**5/5 + 185*f**4/96 + 61*f**3/24 - 4477*f. Find t, given that s(t) = 0.
-61, -2, -1, 0
Let a(y) be the first derivative of -y**6/1260 + y**5/420 + y**4/42 + 2*y**3 + 3. Let u(h) be the third derivative of a(h). Factor u(t).
-2*(t - 2)*(t + 1)/7
Find y such that -675 + 69*y**2 - 450*y - 12/5*y**3 = 0.
-5/4, 15
Let x(q) be the second derivative of 5*q**4/36 - 367*q**3/9 - 49*q**2/2 - 284*q. Suppose x(p) = 0. Calculate p.
-1/5, 147
Let x(s) = -6371*s**2 + 3*s - 4. Let r be x(1). Let a be r/(-7) + (-4)/14. What is z in 55*z**4 + 5*z**4 - 145*z**3 - 890*z + a*z + 40*z**2 = 0?
-1/4, 0, 2/3, 2
Let i(h) be the first derivative of h**6/30 + 2*h**5 + 143*h**4/5 - 1352*h**3/15 - 567. Factor i(d).
d**2*(d - 2)*(d + 26)**2/5
Suppose -1359*i = 1364*i. Factor -2/3*a**2 - 44/3*a + i.
-2*a*(a + 22)/3
Suppose -16*f = -12*f - 160. Factor -52*n - 40*n + 45*n**2 + f*n**2 - 81*n**2.
4*n*(n - 23)
Let o(t) be the second derivative of -5*t**7/42 + 13*t**6/5 - 313*t**5/20 + 11*t**4 + 18*t**3 - 187*t + 1. Solve o(w) = 0.
-2/5, 0, 1, 6, 9
Let c(m) be the second derivative of -10*m**7/21 - 131*m**6/6 + 33*m**5/4 + 3*m - 199. Factor c(p).
-5*p**3*(p + 33)*(4*p - 1)
What is d in -2372/15*d - 703298/15 - 2/15*d**2 = 0?
-593
Let p(y) be the second derivative of -y**5/20 + 11*y**4/8 + 53*y**3/12 + 9*y**2/2 + 956*y. Factor p(g).
-(g - 18)*(g + 1)*(2*g + 1)/2
Let b = 192001/6 + -383999/12. Let o be (4/(-10))/((-2)/10). Factor -b*h**o + 3/4*h - 1/2.
-(h - 2)*(h - 1)/4
Let c(w) = -45*w**2 + 192*w - 32. Let j be c(4). Let u(a) be the first derivative of 16*a + j*a**2 + 22 + a**4 + 20/3*a**3. Factor u(f).
4*(f + 1)*(f + 2)**2
Let b(a) = -32*a**2 + 326*a - 1278. Let m(c) = -37*c**2 + 326*c - 1279. Let u(d) = -14*b(d) + 12*m(d). Factor u(q).
4*(q - 159)*(q - 4)
Let d(b) be the third derivative of b**5/30 + 35*b**4/48 - 364*b**2. Factor d(k).
k*(4*k + 35)/2
Suppose -162*w**3 + 756*w**2 + 678*w - 222*w**3 + 88*w**4 - 84*w**4 - 1054*w = 0. Calculate w.
0, 1, 94
Let f(w) be the first derivative of w**6/300 + w**5/30 + w**4/15 + 11*w**2/2 - 5*w + 54. Let l(z) be the second derivative of f(z). Factor l(a).
2*a*(a + 1)*(a + 4)/5
Let h(w) be the first derivative of -1/18*w**4 + 114 - 2/9*w**2 + 0*w + 2/9*w**3. Suppose h(i) = 0. What is i?
0, 1, 2
Let v(l) be the third derivative of 177/140*l**5 - l**2 + 27/28*l**4 + 1/210*l**7 + 46 + 0*l**3 - 31/210*l**6 + 0*l. Solve v(c) = 0 for c.
-2/7, 0, 9
Suppose 0 = 4*x - 4*q - 0*q + 4, 0 = -4*x - 4*q + 36. Determine i so that 2*i + i**3 - 2*i + 2*i**3 - 265*i**4 - 36*i**2 + 268*i**x = 0.
-4, 0, 3
Let a(c) be the second derivative of -c**6/165 - c**5/110 + 7*c**4/22 + c**3/33 - 20*c**2/11 - c + 122. Let a(b) = 0. Calculate b.
-5, -1, 1, 4
Let -968/3*d - 1064/3*d**2 - 320/3 - 506/3*d**3 - 92/3*d**4 - 2/3*d**5 = 0. What is d?
-40, -2, -1
Let m(w) be the third derivative of -w**5/48 - 55*w**4/96 + 35*w**3/4 - 817*w**2. Factor m(i).
-5*(i - 3)*(i + 14)/4
Let u be ((-792)/308)/((-153)/119). Solve 76/5 + 4/5*b**u - 16*b = 0.
1, 19
Let q = 0 + 0. Let o(y) = -y**3 - 22*y**2 + 75*y + 8. Let m be o(3). Factor q*a**2 + 0*a**2 + 6*a**2 - 3*a**3 + m*a + a.
-3*a*(a - 3)*(a + 1)
Let g = 232 + -232. Let i(l) be the third derivative of g*l**5 + 0 + 0*l - 1/24*l**4 + 0*l**3 + 1/480*l**6 + 4*l**2. Suppose i(a) = 0. What is a?
-2, 0, 2
Suppose 2*u - 30 = -2*n - 16, -2*n = -u - 2. Factor 3/7*m**4 - 243/7 - 54*m - 6/7*m**n - 144/7*m**2.
3*(m - 9)*(m + 1)*(m + 3)**2/7
Suppose -5*l - 12 = -27. Let g = -1 - -5. Let m(f) = -8*f**2 - 7*f + 3. Let k(q) = 7*q**2 + 8*q - 3. Let w(u) = g*k(u) + l*m(u). Factor w(c).
(c + 3)*(4*c - 1)
Let q(b) be the second derivative of -12/13*b**2 + 1/78*b**4 + 0 - 147*b - 1/39*b**3. Factor q(t).
2*(t - 4)*(t + 3)/13
Let j be (-77 + 80)/(-4*((-7)/(-1) + -1 + -8)). Factor j*r - 3/4 + 3/8*r**2.
3*(r - 1)*(r + 2)/8
Factor -367/5*b - 4/5*b**2 + 92/5.
-(b + 92)*(4*b - 1)/5
Let o(v) be the second derivative of -v**7/21 + 42*v**6/5 + 13*v**5 - 190*v**4/3 - 43*v**3 + 254*v**2 + 11*v - 210. Find p such that o(p) = 0.
-2, -1, 1, 127
Factor -139/2*f + 23/2*f**2 - 1/2*f**3 + 117/2.
-(f - 13)*(f - 9)*(f - 1)/2
Let -6*a + 0*a**2 - 11*a + a**2 + 100 - 214 - 18*a = 0. Calculate a.
-3, 38
Let t(w) be the third derivative of -w**7/525 - 19*w**6/100 + 2*w**5/75 + 19*w**4/5 + 614*w**2. Solve t(o) = 0.
-57, -2, 0, 2
Determine m, given that 1/4*m**5 + 0 + 355/2*m - 3/4*m**3 + 1063/4*m**2 - 355/4*m**4 = 0.
-1, 0, 2, 355
Factor 224/3*z**3 + 16/3*z + 49/3*z**4 + 0 + 116/3*z**2.
z*(z + 4)*(7*z + 2)**2/3
Suppose -106*i**2 - 42911*i + 43275*i - 6*i**2 + 3*i**3 + 480 - 4*i**3 + 5*i**3 = 0. What is i?
-1, 5, 24
Let l(j) be the first derivative of j**7/42 - 5*j**6/24 + j**5/4 + 25*j**4/24 - 10*j**3/3 - 26*j**2 - 4. Let s(h) be the second derivative of l(h). Factor s(b).
5*(b - 4)*(b - 1)**2*(b + 1)
Let s(g) be the first derivative of -g**7/70 - g**6/8 + g**5/5 + 5*g**4/2 - 51*g**2 - 151. Let r(z) be the second derivative of s(z). Factor r(k).
-3*k*(k - 2)*(k + 2)*(k + 5)
Suppose 0 = 3*h + 5*a - 213, -5*h + 3*a + 203 = -186. Let x = 80 - h. Factor -2*b**4 + 6*b**x + 14*b**4 + 2*b**4 + 8*b**2 - 28*b**3.
4*b**2*(b - 1)*(5*b - 2)
Let n(m) be the first derivative of -m**7/3780 + m**6/1620 + m**5/270 - 46*m**3/3 + 99. Let w(h) be the third derivative of n(h). Determine j so that w(j) = 0.
-1, 0, 2
Let u(b) be the third derivative of b**5/540 + 52*b**4/27 + 21632*b**3/27 + 875*b**2. Solve u(i) = 0 for i.
-208
Let m(i) be the second derivative of 105*i + 2/3*i**3 + 1/21*i**4 - 88/7*i**2 + 0. Let m(x) = 0. What is x?
-11, 4
Let m(d) be the second derivative of -61*d**5/10 + 143*d**4/14 + 284*d**3/7 - 4*d**2/7 - 6983*d. What is f in m(f) = 0?
-1, 2/427, 2
Solve 16/5 - 2*r**4 - 8/5*r**3 + 44/5*r + 6*r**2 = 0 for r.
-1, -4/5, 2
Suppose -4*d = -w - 162 - 34, 4*d + 5*w - 196 = 0. Suppose -4*b**2 - 18 - 8 + d*b - 10 - 9*b = 0. What is b?
1, 9
Let d = 3364 + -3360. Let u(t) be the second derivative of -1/70*t**5 + 0*t**6 + 0*t**d + 0 - 17*t + 1/294*t**7 + 0*t**2 + 1/42*t**3. Solve u(g) = 0 for g.
-1, 0, 1
Suppose -277*b = -313*b. Suppose -12/5*w**5 + 0*w - 4/5*w**2 + 12/5*w**3 + b + 4/5*w**4 = 0. Calculate w.
-1, 0, 1/3, 1
Let t(g) be the first derivative of -g**4/12 + 71*g**3/9 - 1147*g**2/6 - 1369*g - 2003. Factor t(m).
-(m - 37)**2*(m + 3)/3
Let h be (-48)/120 - (-4)/((-60)/659). Let c = h - -45. Factor -2/9*l**3 + 0 + c*l**2 - 4/9*l.
-2*l*(l - 2)*(l - 1)/9
Let k(g) be the third derivative of g**5/20 - 51*g**4/4 + 2601*g**3/2 + 194*g**2 + 5*g. Factor k(w).
3*(w - 51)**2
Let d be 5 + (912/64 - (-15)/(-12)*1). Let w = 2 + 1. Factor -x**2 - 4*x**3 + w*x**2 - d*x**2 + 16*x + 3*x**4 + x**4.
4*x*(x - 2)*(x - 1)*(x + 2)
What is y in 184/9*y + 70/9*y**3 - 2/9*y**5 - 4/9*y**4 - 184/9*y**2 - 64/9 = 0?
-8, 1, 2
Let k be 222/12 - (-4 + 1)/(-6). Solve 27*g**3 + k*g**4 + 21*g + 20*g**2 - 65*g**2 - 21*g**4 = 0.
0, 1, 7
Solve -2/15*q**2 + 412/15 + 82/3*q = 0 for q.
-1, 206
Let b(s) = 6*s**3 - 38*s**2 + 56*s - 18. Let c(j) = 2*j + 1. Let f(h) = b(h) + 2*c(h). Suppose f(k) = 0. Calculate k.
1/3, 2, 4
Let i(q) = q**2 + 8*q - 17. Let g be i(-10). Factor -10*f**g - 60*f**2 - 57*f + 5*f**4 + 99*f - 5*f**2 - 92*f.
5*f*(f - 5)*(f + 1)*(f + 2)
Solve -128*z**2 - 15/2*z**5 - 335/2*z**3 - 32*z + 0 - 79*z**4 = 0 for z.
-8, -1, -8/15, 0
Let j(s) be the third derivative of -s**8/80640 - s**7/20160 + s**6/1440 + 11*s**5/20 - 28*s**2. Let t(u) be the third derivative of j(u). Factor t(i).
-(i - 1)*(i + 2)/4
Let n(y) be the third derivative of -5*y**2 + 0*y - 1/33*y**4 + 0 + 1/165*y**5 - 3/2*y**3 - 1/1980*y**6. Let t(l) be the first derivative of n(l). Factor t(v).
-2*(v - 2)**2/11
Suppose 11*v - 412 - 5682 = 0. Factor -16*w + v - 1111 + 557 - 4*w**2.
-4*w*(w + 4)
Let l(j) be the first derivative of -7/20*j**2 + 3/5*j + 0*j**3 + 1/40*j**4 + 23. Find p such that l(p) = 0.
-3, 1, 2
Let n(a) be the first derivative of 0*a**4 + 1/90*a**6 + 8/3*a**3 + 15 + 0*a**2 + 0*a + 0*a**5. Let f(s) be the third derivative of n(s). Factor f(y).
4*y**2
Let t be 25/1 - (-1188)/(-54). Let j(d) be the first derivative of -3/2*d**4 - 12*d - 3/5*d**5 + 27 + 6*d**2 + t*d**3. Factor j(m).
-3*(m - 1)**2*(m + 2)**2
What is q in -10*q + 68*q