k + 10. Let s(d) = -d. Let q(l) = 5*s(l) + y(l). Let n be q(7). Factor n*g - 3*g - g**4 + 3*g**3 + 0*g**4.
-g**3*(g - 3)
Let l(h) be the first derivative of -2*h**5/75 + h**4/6 + 10*h**3/9 - h**2/3 - 16*h/5 - 299. What is s in l(s) = 0?
-3, -1, 1, 8
Let l(t) be the first derivative of -t**6/33 + 2*t**5/11 - 3*t**4/11 - 8*t**3/33 + 8*t**2/11 - 654. Suppose l(s) = 0. What is s?
-1, 0, 2
Let x(v) be the first derivative of -1/10*v**2 - 1/5*v**3 - 3 + 2/5*v + 1/20*v**4 + 1/25*v**5. Factor x(a).
(a - 1)**2*(a + 1)*(a + 2)/5
Let i(n) = n**3 + 23*n**2. Let r be i(-23). Let l(s) be the first derivative of 1 + 0*s**2 + 1/27*s**6 + 2/27*s**3 + r*s - 1/18*s**4 - 2/45*s**5. Factor l(q).
2*q**2*(q - 1)**2*(q + 1)/9
Suppose 3*g - 19 = -2*d + 7, -5*d + 5 = 0. Suppose 3 + 2*m + 0*m + 9*m**2 - g*m**2 - 6 = 0. What is m?
-3, 1
Determine n, given that -3/7 - 13/7*n**2 - 11/7*n - 5/7*n**3 = 0.
-1, -3/5
Let l(w) = 2*w**2. Let a be l(-1). Suppose 3*m + 5 - a = 3*p, -m + 17 = 5*p. Factor -2*s**5 - 34*s**4 + 34*s**4 + m*s**3.
-2*s**3*(s - 1)*(s + 1)
Suppose 4*s - 25 = -c, -c + 0*c + 19 = 3*s. Suppose o + 6 = 2*o. Find m, given that -2*m + 7*m**2 - o*m**3 + s*m**3 - 4*m**3 - 1 = 0.
-1/4, 1
Factor 53 - 5*y**4 + 156*y + 67*y + 56*y**2 + 113*y**3 - 53*y**2 - 3 + 288*y**2.
-(y - 25)*(y + 1)**2*(5*y + 2)
Find i such that 43218/5 + 2/5*i**2 + 588/5*i = 0.
-147
Factor 11 + 15*s - 29 + 7*s**3 + 0*s**3 + 4*s**2 - 6*s**3 - 2*s**3.
-(s - 6)*(s - 1)*(s + 3)
Find x such that -1/2*x**3 - 7 + 7*x**2 + 1/2*x = 0.
-1, 1, 14
Let b(r) = -r**3 - 6*r**2 + 22*r + 6. Let n be b(-9). Let s = n + -253/5. Find j such that 0*j**2 + 0 + 6/5*j**4 + 4/5*j**5 + 0*j + s*j**3 = 0.
-1, -1/2, 0
Let l(x) be the third derivative of x**5/270 + x**4/36 + 2*x**3/27 - 3*x**2. Let l(n) = 0. Calculate n.
-2, -1
Let i be (7/28 + 53/(-4))*9. Let h = 122 + i. Let -4/7*o**3 - 6/7*o**4 + 6/7*o + 2/7 + 4/7*o**2 - 2/7*o**h = 0. What is o?
-1, 1
Let c(n) be the second derivative of 0*n**3 + 1/8*n**4 - 2*n**2 + 1/40*n**6 + 2*n + 0 - 1/10*n**5. Let b(a) be the first derivative of c(a). Factor b(l).
3*l*(l - 1)**2
Let s be (8 - 32/(-224)) + 3/((-9)/21). Find a such that -s*a**3 - 10/7*a + 22/7*a**2 - 4/7 = 0.
-1/4, 1, 2
Let a(j) = j**2 - 11*j + 15. Let z(k) = -k**2 + 5*k - 7. Let q(r) = r**3 - 17*r**2 - 5. Let n be q(17). Let c(s) = n*z(s) - 3*a(s). Find i such that c(i) = 0.
-5, 1
Let d(h) = -h + 15. Let u be d(-3). Let i(t) be the first derivative of 81*t + 1/5*t**5 - 3*t**4 + u*t**3 - 6 - 54*t**2. Factor i(j).
(j - 3)**4
Let n(q) be the first derivative of -2*q**5/85 - 27*q**4/34 - 436*q**3/51 - 480*q**2/17 - 576*q/17 + 206. What is d in n(d) = 0?
-12, -2, -1
Let q(d) be the first derivative of 1/15*d**6 - 6/25*d**5 + 0*d**3 + 0*d**2 + 0*d - 4 + 1/5*d**4. Let q(t) = 0. Calculate t.
0, 1, 2
Let v(w) = 20*w**2 - 28*w**2 + 9*w + 12*w**2 + 2 - w**3. Let r(j) = -j**3 + 5*j**2 + 10*j + 1. Let d(u) = 4*r(u) - 6*v(u). What is i in d(i) = 0?
-1, 4
Let c(h) be the first derivative of h**3 - 6*h**2 - 15*h + 130. Factor c(d).
3*(d - 5)*(d + 1)
Let r = 1196/5373 - 2/5373. Find c such that -r*c**3 - 2/9*c**4 + 2/9*c - 4/3 + 14/9*c**2 = 0.
-3, -1, 1, 2
Let j be (-1515)/90 - -17 - (-1)/30. Let k(v) be the second derivative of 0 - v + 0*v**2 + 1/7*v**7 - 1/3*v**6 + j*v**5 + 0*v**4 + 0*v**3. Factor k(a).
2*a**3*(a - 1)*(3*a - 2)
Let s(u) be the third derivative of u**6/150 - 4*u**5/75 + u**4/10 + 136*u**2. Factor s(p).
4*p*(p - 3)*(p - 1)/5
Let v = -10721/581 + 129/7. Let j = v + 184/747. Let 0 - 2/9*u**4 + 2/9*u**2 - j*u + 2/9*u**3 = 0. Calculate u.
-1, 0, 1
Let u(q) be the second derivative of 2*q**7/21 - 2*q**6/3 - 31*q**5/5 - 43*q**4/3 - 12*q**3 - 925*q. Determine t so that u(t) = 0.
-2, -1, 0, 9
Let q(t) = -t**2 + 14*t**2 + 5*t**3 + 3 + 0 + 11*t + 0*t**2. Let y(s) = -s**3 - 3*s**2 - 3*s - 1. Let j(b) = -2*q(b) - 9*y(b). Determine g, given that j(g) = 0.
-1, 3
Let k = -6 + 23. Suppose -3*z = -19 - k. Factor -8*g**2 + 2*g**2 - 2*g**3 + 9 + z*g - 9*g**3 - g**3 - 3*g**4.
-3*(g - 1)*(g + 1)**2*(g + 3)
Let p be (1/2)/(21/168). Let s(a) be the second derivative of 1/135*a**6 + 0*a**5 - 1/18*a**p + 0 + 0*a**2 - 11*a - 2/27*a**3. Factor s(w).
2*w*(w - 2)*(w + 1)**2/9
Let h be (0*(-5)/15)/(0 + 2). Let q(z) be the second derivative of -1/36*z**4 + h*z**3 + 7*z + 0 - 1/60*z**5 + 0*z**2. Factor q(f).
-f**2*(f + 1)/3
Let k(c) = -39*c**2 + 90*c + 9. Let b(r) = -37*r**2 + 92*r + 8. Let p(x) = 3*b(x) - 4*k(x). Determine m so that p(m) = 0.
-2/15, 2
Factor -60 + s**2 - 10456*s - 10366*s - 3*s**2 + 20884*s.
-2*(s - 30)*(s - 1)
Let t(f) be the third derivative of -f**8/1176 + 2*f**7/735 - f**2 - 1. Factor t(y).
-2*y**4*(y - 2)/7
Let n(y) be the third derivative of y**8/5040 - y**7/315 + y**6/45 + 5*y**5/12 - y**2 + 8*y. Let v(k) be the third derivative of n(k). Factor v(a).
4*(a - 2)**2
Let v(f) be the first derivative of -f**5/10 - f**4 - 19*f**3/6 - 3*f**2 + 402. Factor v(w).
-w*(w + 1)*(w + 3)*(w + 4)/2
Let p(b) be the second derivative of b**4/6 + 37*b**3/3 - b + 24. Find v such that p(v) = 0.
-37, 0
Let w(r) = 13 - 15 + r**2 + 0*r**2 + 2*r - 6*r. Let b be w(5). Factor 3*a**5 + 0*a**3 - 5*a**3 + 2*a**b.
3*a**3*(a - 1)*(a + 1)
Suppose -1061*q**3 - 1965*q - 685*q**4 - 48*q**5 + 37*q**4 - 1894*q**3 - 225 - 4959*q**2 = 0. What is q?
-5, -3, -1/4
Let o(i) = 7*i**2 + 99*i - 231. Let d(a) = -10*a**2 - 149*a + 345. Let v(y) = -5*d(y) - 7*o(y). Factor v(x).
(x - 2)*(x + 54)
Let n be (1 - 67/35)/(7*6/(-105)). Determine b so that 2/7*b**2 + 4/7*b - n = 0.
-4, 2
Let j(t) be the first derivative of t**6/6 - 14*t**5/5 + 16*t**4 - 118*t**3/3 + 95*t**2/2 - 28*t + 217. Factor j(x).
(x - 7)*(x - 4)*(x - 1)**3
Let w(x) = x**3 + 6*x**2 - 8*x - 3. Let b be w(-7). Suppose a + 5 + 1 = b*v, -5*v + 12 = a. Factor -6*k**2 + 0*k**v + 3 + 3*k**2.
-3*(k - 1)*(k + 1)
Let c(b) = b**2 + 13*b + 14. Let u be c(-12). Let 2*j**4 - 2*j**2 + 4*j**4 - j**5 + 3*j - 4*j**4 - u*j = 0. Calculate j.
-1, 0, 1
Factor -6*i**2 + 12 - 4*i**4 + 2*i**4 - 16*i - 2*i**4 - 2*i**2 + 16*i**3.
-4*(i - 3)*(i - 1)**2*(i + 1)
Let f(v) be the first derivative of 3*v**4/16 - 339*v**3/2 + 114921*v**2/2 - 8657382*v - 328. Factor f(y).
3*(y - 226)**3/4
Suppose -14 = -h - 3*i, -4*i = -h - 0 - 7. Determine o, given that -4*o**4 + 3*o**h - 4*o**4 + 11*o**4 - 6*o**3 = 0.
-2, 0, 1
Suppose -2/17*t**3 + 0 + 16/17*t + 4/17*t**2 = 0. What is t?
-2, 0, 4
What is g in -2/5*g**2 + 0 - 2/5*g**3 + 0*g + 4/5*g**4 = 0?
-1/2, 0, 1
Let r(n) be the first derivative of n**7/2100 - n**6/225 + n**5/100 + 8*n**3/3 - 16. Let g(k) be the third derivative of r(k). Solve g(j) = 0 for j.
0, 1, 3
Solve 15/4*w**4 + 5/2*w**3 + 30 + 5/2*w - 115/4*w**2 = 0.
-3, -1, 4/3, 2
Let j(i) be the first derivative of 1/54*i**4 + 0*i**3 + 3 - 4/9*i**2 + i. Let t(m) be the first derivative of j(m). Factor t(g).
2*(g - 2)*(g + 2)/9
Let n = 2564 - 7688/3. Let b(z) be the third derivative of -5*z**2 - 2/105*z**7 + 1/5*z**5 + 0 + 1/30*z**6 - 5/6*z**4 + 0*z + n*z**3. Find c such that b(c) = 0.
-2, 1
Let r(z) = -23*z**3 + 3*z**2 + 155*z + 149. Let t(i) = i**3 - i**2 - 3*i + 1. Let c(f) = 2*r(f) - 4*t(f). Factor c(l).
-2*(l - 3)*(5*l + 7)**2
Suppose -13 - 27 = -8*v. Suppose 4*f**2 - 2*f**4 - 3*f**4 + 4*f**3 - 3*f**v + f**4 - f**5 = 0. What is f?
-1, 0, 1
Let f(c) = c - 2. Let i(l) = -l**2 + 162*l - 5945. Let p(v) = -24*f(v) + 3*i(v). Factor p(s).
-3*(s - 77)**2
Let l(f) be the first derivative of 2/9*f**3 + 0*f + 12 - 2/3*f**2. Determine y so that l(y) = 0.
0, 2
Let d(k) be the first derivative of -k**9/252 - 11*k**8/420 - k**7/35 - 26*k**3/3 + 23. Let b(r) be the third derivative of d(r). Factor b(u).
-4*u**3*(u + 3)*(3*u + 2)
Let j(g) be the third derivative of 2809*g**5/360 - 53*g**4/36 + g**3/9 + 160*g**2. Factor j(p).
(53*p - 2)**2/6
Let l = 29 + -17. Suppose -2*d - 4*h = 16, 4*h + 4 = -3*d - l. Factor 6 + d*s + 7*s**2 - 3*s**2 - s**2 - 9*s.
3*(s - 2)*(s - 1)
Let f(y) be the second derivative of y**4/84 + 3*y**3/7 + 81*y**2/14 + 26*y. Factor f(a).
(a + 9)**2/7
Let f(y) be the third derivative of -y**9/30240 + y**8/4320 - y**6/270 + 11*y**5/30 - 11*y**2. Let t(m) be the third derivative of f(m). Factor t(a).
-2*(a - 2)*(a - 1)*(3*a + 2)/3
Let g(w) be the third derivative of w**6/30 + w**5/5 - 55*w**2. What is f in g(f) = 0?
-3, 0
Let w(f) = 2. Let z(s)