-1, 0, 1, 3
Let h(o) be the second derivative of o**7/98 - 3*o**5/35 + o**4/14 + 3*o**3/14 - 3*o**2/7 - 586*o. Factor h(n).
3*(n - 1)**3*(n + 1)*(n + 2)/7
Let u be (-7 + -1)*5/10 - -4. Let g(t) be the second derivative of -2/33*t**3 - 1/165*t**6 + u*t**4 - t + 1/11*t**2 + 0 + 1/55*t**5. Factor g(b).
-2*(b - 1)**3*(b + 1)/11
Let v(o) = o**3 - 13*o**2 - 13*o - 9. Let f be v(14). Solve -f*b - 1858*b**2 + 1853*b**2 - 10 - 10*b = 0 for b.
-2, -1
Factor 0*l**2 + l**2 + 205*l + 0*l**2 - 331*l + 3969.
(l - 63)**2
Let m be (-9)/195 + 408/(-60) + 7. Let 0*f - m*f**3 - 2/13*f**4 + 0*f**2 + 0 = 0. What is f?
-1, 0
Let k(w) = 16*w**2 - 8*w + 19. Let o be k(3). Let -272*v**2 + 10*v + o*v**2 + 118*v**2 + 5*v**3 = 0. What is v?
0, 1, 2
Let c be 15/12*(-7 - (-885)/125). Let p(u) be the second derivative of -2*u + c*u**5 + 0*u**2 + 0 + 1/6*u**4 - 2/3*u**3. Determine o, given that p(o) = 0.
-2, 0, 1
Let k = -12/53 - -238/583. Factor -8/11 + k*t**2 + 6/11*t.
2*(t - 1)*(t + 4)/11
Let i(l) be the third derivative of -l**6/420 + 5*l**5/14 - 625*l**4/28 + 15625*l**3/21 + 155*l**2. Factor i(m).
-2*(m - 25)**3/7
Let a(i) be the third derivative of 1/16*i**4 - 1/80*i**5 + 0*i - i**2 - 1/8*i**3 + 0. Factor a(u).
-3*(u - 1)**2/4
Suppose -4 - 14 = -3*j. Solve 4*c**4 + j*c - 3*c**2 - 8*c - c**2 + 2*c**5 = 0 for c.
-1, 0, 1
Let x(o) be the first derivative of -o**4/3 - 2*o**3/3 + 4*o**2 + 10*o - 13. Let r(l) be the first derivative of x(l). Let r(c) = 0. What is c?
-2, 1
Let l(j) be the third derivative of -j**5/12 + 65*j**4/12 - 115*j**3/2 + 105*j**2 + 3. Let l(v) = 0. What is v?
3, 23
Let f be ((-10788)/9520 + (-4)/(-10))/1. Let q = 2/119 - f. Factor 3/4*k**2 + 0 + 0*k + q*k**3.
3*k**2*(k + 1)/4
Let h(q) be the first derivative of -3*q**4/4 + 5*q**3 - 9*q**2/2 - 27*q + 48. Let h(j) = 0. Calculate j.
-1, 3
Let h(t) be the first derivative of 17*t**3/24 - 53*t**2/16 + 3*t/4 + 590. Suppose h(i) = 0. Calculate i.
2/17, 3
Let i(m) be the first derivative of m**6/900 - 2*m**5/75 + 7*m**4/60 - 4*m**3 + 11. Let t(j) be the third derivative of i(j). Determine s so that t(s) = 0.
1, 7
Let z(m) = m**2 - 22*m + 40. Let w be (-318)/(-15) - 1 - 3/15. Let j be z(w). Factor -4/9*l**2 + j*l + 0 + 2/9*l**3.
2*l**2*(l - 2)/9
Let x be (-2 + (-4)/(8/(-10)))*1. Let a(h) be the third derivative of -1/180*h**5 + 0*h - 2*h**2 + 0 - 2/9*h**x + 1/18*h**4. Factor a(j).
-(j - 2)**2/3
Let -21*w - 15/2*w**2 + 12 + 21*w**3 - 9/2*w**4 = 0. Calculate w.
-1, 2/3, 1, 4
Let a be 2/(-25) - (-1272)/8400. Let v(y) be the second derivative of a*y**7 - 1/4*y**4 + 0*y**2 + y + 1/10*y**6 - 3/20*y**5 + 0*y**3 + 0. Factor v(o).
3*o**2*(o - 1)*(o + 1)**2
Let f(j) be the second derivative of 10*j + 0 - 8/3*j**2 - 2/45*j**6 - 13/9*j**4 - 8/3*j**3 - 2/5*j**5. Factor f(z).
-4*(z + 1)**2*(z + 2)**2/3
Let k(u) be the third derivative of u**6/660 - 7*u**5/330 + u**4/33 + 4*u**3/11 + 2*u**2 + 6. Solve k(g) = 0.
-1, 2, 6
Let p(a) be the third derivative of a**5/30 + 7*a**4/6 + 40*a**3/3 - 2*a**2 + 17. Find m such that p(m) = 0.
-10, -4
Factor 104*i**2 + 4 - 3*i - 102*i**2 + 8 + 13*i.
2*(i + 2)*(i + 3)
Let m be 14/10*(-7)/14*10/(-2). Suppose -14*r + r**2 + m*r**3 - 4 = 0. What is r?
-2, -2/7, 2
Factor -1/2*x**2 - 34*x - 67/2.
-(x + 1)*(x + 67)/2
Suppose 214*x = 219*x. Let w(i) be the second derivative of -2/27*i**3 + 0*i**2 + 2*i + x - 1/54*i**4. Factor w(o).
-2*o*(o + 2)/9
Determine g, given that -12*g - 7*g**2 - 161 + 19*g**2 - 4*g**3 + 165 = 0.
1
Suppose 3*o - 82 = -2*c - 78, 3*c - 6 = 5*o. Factor 0*f + o*f**3 + 1/2*f**2 + 0 - 1/2*f**4.
-f**2*(f - 1)*(f + 1)/2
Let b = 662/5 + -132. Suppose 5*z = -v - 2*v + 20, 3*v = 0. What is y in 0*y + 0 + 2/5*y**5 + b*y**3 + 0*y**2 - 4/5*y**z = 0?
0, 1
Let d(r) = -2*r**2 + 75*r + 2628. Let p be d(-22). Factor -p - 2*q - 1/10*q**2.
-(q + 10)**2/10
Let k(o) be the third derivative of -o**6/90 - o**5/45 + o**4/3 + o**2 - 5*o. Let k(v) = 0. What is v?
-3, 0, 2
Let g = -21 + 21. Let t(d) be the third derivative of g + 5*d**2 + 0*d - 3/16*d**4 - 1/2*d**3 - 1/40*d**5. Factor t(n).
-3*(n + 1)*(n + 2)/2
Let u be 1370/548 + (1 - (2 + 1)). Factor 1/2*t - 5/2*t**3 + 3/2*t**4 + u*t**2 + 0.
t*(t - 1)**2*(3*t + 1)/2
Let y be 2 + 2/(-3)*(-9)/2. Solve -4*w**4 - 3*w**3 + 4*w + 10*w**2 - w**5 + 0*w**5 - w**2 - y*w**2 = 0 for w.
-2, -1, 0, 1
Factor -176*d + 48 + 12*d**4 - 88*d**3 + 628/3*d**2.
4*(d - 3)**2*(3*d - 2)**2/3
Suppose -7 = 3*h + 2. Let m be (h - (-11)/3)*9/8. Factor -m*l**2 - 3 - 3*l.
-3*(l + 2)**2/4
Let p(f) be the second derivative of -f**4/12 + f**2/2 + 5*f. Let g(n) = 3*n**3 - 12*n**2 + 6*n + 3. Let r(x) = g(x) - 3*p(x). Factor r(h).
3*h*(h - 2)*(h - 1)
Let i(c) = 2*c**2 - 6*c - 18. Let u be i(-2). Find d such that 0*d + 1/2*d**u + 0 = 0.
0
Let i(c) be the third derivative of -c**8/784 + c**7/245 + 3*c**6/70 - c**5/10 - 11*c**4/56 + 6*c**3/7 - 182*c**2. Determine k so that i(k) = 0.
-3, -1, 1, 4
Suppose 150*k + 500 + 1/2*k**3 + 15*k**2 = 0. What is k?
-10
Let t(n) = -6*n**3 + 3*n**2 - 6. Let z(g) = 7 - 3*g**2 - 473*g**3 + 3*g - 2*g + 480*g**3. Let j(x) = -4*t(x) - 3*z(x). Suppose j(o) = 0. What is o?
-1, 1
Let d(j) = 3*j**2 - j - 2. Let s(t) = 2*t**2 - t - 1. Suppose 2*o + o = 9. Let r(k) = o*d(k) - 4*s(k). Find a such that r(a) = 0.
-2, 1
Let h(l) be the first derivative of -2*l**7/105 - l**6/12 - l**5/30 + l**4/6 + 15*l**2/2 + 23. Let p(s) be the second derivative of h(s). Factor p(b).
-2*b*(b + 1)*(b + 2)*(2*b - 1)
Let v(d) be the second derivative of 0*d**3 + 0 - 18*d + 1/25*d**6 + 0*d**2 + 1/10*d**4 + 3/25*d**5. Factor v(w).
6*w**2*(w + 1)**2/5
Factor 68*j**4 + 8*j**3 + 66*j**3 + 42*j + 59*j**4 + 4*j**5 - 8 - 82*j**2 - 157*j**4.
2*(j - 4)*(j - 1)**3*(2*j - 1)
Let k(l) be the first derivative of -20/27*l**3 + 8 + 1/9*l**4 + 20/9*l - 2/9*l**2. Find h such that k(h) = 0.
-1, 1, 5
Let a = 21656/16251 - -4/5417. What is z in -1/3*z**2 + a*z - 4/3 = 0?
2
Let z = -13309/3 - -4437. Determine n so that 2/3 + z*n**2 - 4/3*n = 0.
1
Let n(t) be the third derivative of -t**6/240 + t**5/60 + t**4/16 - 103*t**2. Suppose n(q) = 0. What is q?
-1, 0, 3
Suppose -5*r - 4*t = -0*r - 30, t = -3*r + 18. Factor r*z**3 - 8*z**3 + 6*z + 2*z**2 - 2*z.
-2*z*(z - 2)*(z + 1)
Factor 249/8*f**2 + 3/2*f**3 + 177/8*f - 15/2.
3*(f + 1)*(f + 20)*(4*f - 1)/8
Let f(a) = -8*a**2 - 184*a + 382. Let i(s) = -18*s**2 - 368*s + 763. Let j(m) = -5*f(m) + 2*i(m). Find g, given that j(g) = 0.
-48, 2
Let s(o) be the third derivative of o**7/420 - o**5/40 + o**4/24 - o**2 - 1. Factor s(p).
p*(p - 1)**2*(p + 2)/2
Let j = 239 - 215. Let k be 52/30 + j/(-20). Let 0 - 2/5*n + 2/15*n**2 + k*n**3 = 0. What is n?
-1, 0, 3/4
Let r(h) = h**3 - h**2 - 1. Let w be 16/4 + (-2)/2. Let x(g) = -w + 3*g**2 + 5 + 5*g**2 - 3*g**3 - 5*g**3 + 3*g. Let c(i) = 5*r(i) + x(i). Factor c(k).
-3*(k - 1)**2*(k + 1)
Let x(y) be the third derivative of 0 + 0*y + 14*y**2 + 1/24*y**4 - 1/6*y**3 + 1/60*y**5 - 1/120*y**6. Let x(p) = 0. Calculate p.
-1, 1
Solve -3/4*x**4 + 0 + 9/4*x**2 + 3/2*x + 0*x**3 = 0.
-1, 0, 2
Let k(t) = t**3 + 4*t**2 + 2*t - 3. Let j be k(-3). Let i be (-4)/(0 + -2 - j). Factor -2 + i*c + c**2 + c + c - 5*c.
(c - 2)*(c + 1)
Let m be -6*((-266)/(-63) - 5). Factor -2/3*b**3 - 2 - m*b - 10/3*b**2.
-2*(b + 1)**2*(b + 3)/3
Let a be (-7)/42*15/(-20). Solve -a*m**2 - 1/8 + 1/4*m = 0.
1
Let s = 203/242 - 41/121. Factor j + 3/2 - s*j**2.
-(j - 3)*(j + 1)/2
Let 5*m**4 - 44*m**2 - 140*m**3 - 144 - 11 - 406*m**2 - 460*m = 0. Calculate m.
-1, 31
Let j = -8169/4 - -22055/12. Let o = 205 + j. Factor -l**2 + 0 - o*l - 1/3*l**3.
-l*(l + 1)*(l + 2)/3
Solve -660*j**5 - 72 - 186*j + 387*j**2 - 45*j**4 + 1334*j**5 - 96*j**3 - 662*j**5 = 0.
-3, -1/4, 1, 2, 4
Let u = 13/9 - 56/45. Factor 1/5*o - u*o**2 + 0.
-o*(o - 1)/5
Let b be (6/(-36))/((-2)/4). Let -1/3*g**4 + 0 + 2/3*g + b*g**5 - g**3 + 1/3*g**2 = 0. Calculate g.
-1, 0, 1, 2
Suppose -4*p - 41 + 17 = 0. Let v(s) = s**2 - 2. Let y(t) be the first derivative of t**3/3 + t**2/2 - t - 30. Let h(r) = p*y(r) + 3*v(r). Factor h(n).
-3*n*(n + 2)
Let l(w) = -w + 7. Let j be l(-18). Suppose -3*g - g + 5*n - j = 0, 3*g - 2*n + 10 = 0. Factor -1/4*f**2 + g - 1/2*f.
-f*(f + 2)/4
Let y be 77/14*8/22. Let i(w) be the second derivative of 0 - 1/24*w**3 + 6*w - 1/48*w**4 + 1/4*w**y. Factor i(b).
-(b - 1)*(b + 2)/4
Suppose -2/9*b