p**2 + 2/5*p**3 + 48/5*p + 0 = 0. What is p?
-12, -2, 0
Let q = 1004 - 998. Let l(c) be the third derivative of -1/20*c**q + 7/20*c**5 - 1/10*c**7 + 0 + 1/4*c**4 + 3*c**2 + 0*c**3 + 0*c. Factor l(z).
-3*z*(z - 1)*(z + 1)*(7*z + 2)
Factor -12/7*q**2 + 22/7*q + 4/7.
-2*(q - 2)*(6*q + 1)/7
Let 7/5*c**2 + 1 - 1/5*c**3 - 11/5*c = 0. Calculate c.
1, 5
Let f = -47 - -79. Determine w, given that -32*w**2 - 6*w**3 - 8*w + 6*w**5 + f*w**4 + 4*w**5 + 4*w**5 = 0.
-2, -1, -2/7, 0, 1
Let n(s) be the second derivative of s**4/12 - 2*s**2 + 4*s. Let d be n(2). Factor 2 - 3*t + d*t + 3 - 3 + t**2.
(t - 2)*(t - 1)
Let d(b) be the second derivative of 193*b**2 + 0 - b + 11/6*b**4 + 88/3*b**3. Let g(y) = 2*y**2 + 16*y + 35. Let h(w) = -6*d(w) + 68*g(w). Factor h(l).
4*(l + 4)**2
Let y(o) be the second derivative of -o**4/4 - o**3/2 - 7*o - 1. Factor y(q).
-3*q*(q + 1)
Let l(x) be the first derivative of -x**4/16 + 2*x**3/3 - 5*x**2/2 + 4*x - 152. Factor l(k).
-(k - 4)*(k - 2)**2/4
Let k = 82 + -73. Factor 4*o**3 - 6*o**2 - 5*o**2 - 6*o**2 + k*o**2.
4*o**2*(o - 2)
Let x(c) be the first derivative of -7*c**4/4 + 10*c**3/3 + c**2/2 - 4*c + 189. Determine i, given that x(i) = 0.
-4/7, 1
Suppose -114*p + 119*p - 10 = 0. Let j(g) be the second derivative of 5*g - 2/15*g**3 + 0*g**p + 0 + 1/30*g**4. What is f in j(f) = 0?
0, 2
Let m = 513/7 + -6459/91. Let n = m - 158/91. Suppose -8/7*z - 4/7*z**5 + 12/7*z**3 + 4/7*z**4 - n*z**2 + 0 = 0. Calculate z.
-1, 0, 1, 2
Let f(u) be the second derivative of u**7/3780 + u**6/180 + u**5/36 - 25*u**4/108 - 29*u**3/6 - 3*u + 5. Let r(p) be the second derivative of f(p). Factor r(a).
2*(a - 1)*(a + 5)**2/9
Solve 84219 - 5*i**3 + 375*i**2 - 6094 - 6246*i - 3129*i = 0.
25
Suppose -4*y + 3*t = -19, -2*t = 3 - 1. Let l(n) be the first derivative of -1/4*n**2 - 1/6*n**3 + 1/8*n**4 - y + 1/2*n. Let l(q) = 0. Calculate q.
-1, 1
Let p(z) be the second derivative of -z**7/168 + z**6/60 - z**4/24 + z**3/24 - 54*z. Let p(h) = 0. Calculate h.
-1, 0, 1
Let f be 1/6 - (-2)/(-12). Suppose t - 6*t + 5 = f. Suppose -t + 3 + 2*o**2 - 4 = 0. What is o?
-1, 1
Let h(i) = -20*i**2 + 64*i - 100. Suppose x + 8 = 3*x. Let t(r) = x - 21*r + 3 + 7*r**2 + 24 + 2. Let c(k) = -3*h(k) - 8*t(k). Factor c(w).
4*(w - 3)**2
Let u be (16/32)/(2/(-32)). Let j be 0 - ((-14)/u + -2). Suppose 1/2*y + 1/4*y**2 + 0 - 3/4*y**3 + 1/4*y**5 - j*y**4 = 0. What is y?
-1, 0, 1, 2
Let m(f) be the third derivative of f**7/735 + f**6/140 - f**5/42 - f**4/28 + 4*f**3/21 + f**2 - 2*f. Factor m(o).
2*(o - 1)**2*(o + 1)*(o + 4)/7
Let m(h) be the first derivative of -h**6/16 - 9*h**5/40 - 9*h**4/32 - h**3/8 + 20. Factor m(t).
-3*t**2*(t + 1)**3/8
Let g(x) be the third derivative of 21*x**2 + 1/390*x**5 + 2/39*x**3 + 0 + 0*x + 1/52*x**4. Find o, given that g(o) = 0.
-2, -1
Let t(k) = -2*k - 7. Let c be t(-5). Let j be ((-6)/c - -12) + 4. Find v such that j*v**2 + 4*v**2 + 3*v**2 - 28*v**3 - 4*v + 12*v**4 - v**2 = 0.
0, 1/3, 1
Let n be 11/(-4 - (-13)/3). Let l(s) = s**3 - 34*s**2 + 32*s + 36. Let d be l(n). Determine z, given that 3/8*z**d + 3/8*z**2 + 1/8*z**4 + 1/8*z + 0 = 0.
-1, 0
Let n be ((-9)/(-63)*7)/((-1)/(-2)). Let q(z) be the first derivative of 0*z**n + 7 + 0*z - 1/10*z**4 + 2/15*z**3. Determine p, given that q(p) = 0.
0, 1
Let d(q) be the third derivative of q**5/12 + 1195*q**4/12 + 285605*q**3/6 + 552*q**2. Let d(l) = 0. Calculate l.
-239
Let c(q) be the second derivative of -q**7/420 + q**6/90 - q**5/60 + 7*q**3/3 + 2*q. Let a(d) be the second derivative of c(d). Factor a(o).
-2*o*(o - 1)**2
Let a(g) = g**3 + 8*g**2 + 8*g - 6. Let x be a(-6). Let u = x - 14. Factor -2/7 - 2/7*q**u + 0*q + 4/7*q**2 + 0*q**3.
-2*(q - 1)**2*(q + 1)**2/7
Factor -2/5*r**4 + 0*r + 0 - 4*r**3 - 10*r**2.
-2*r**2*(r + 5)**2/5
Solve 0*i - 2/7*i**4 + 18/7*i**3 + 0 - 16/7*i**2 = 0.
0, 1, 8
Let t(y) be the third derivative of y**5/60 + 13*y**4/24 + 2*y**3 + 193*y**2. Factor t(w).
(w + 1)*(w + 12)
Let n(x) be the third derivative of -x**8/560 - 2*x**7/525 + x**6/75 + 3*x**5/50 + 11*x**4/120 + x**3/15 - 69*x**2. Suppose n(k) = 0. What is k?
-1, -1/3, 2
Let u(z) be the third derivative of -1/2*z**3 + 1/4*z**4 + 0*z + 0 + 25*z**2 - 1/20*z**5. Factor u(p).
-3*(p - 1)**2
Solve 0 + 3/2*z + 18*z**3 + 3*z**5 - 51/4*z**4 - 39/4*z**2 = 0 for z.
0, 1/4, 1, 2
Let s be (-11 + 8)/(6/(-4)). What is k in 3*k**2 + 25 - 5*k**3 + 4*k**2 + 28*k**s - 55*k = 0?
1, 5
Let y(f) be the third derivative of -f**7/56 - f**6/160 - 2*f**2 + 186. Factor y(c).
-3*c**3*(5*c + 1)/4
Let m(j) be the second derivative of -1/30*j**6 + 1/15*j**5 - 8/3*j**3 - 6*j + 3*j**2 + 2/3*j**4 + 0. Let o(f) be the first derivative of m(f). Factor o(l).
-4*(l - 2)*(l - 1)*(l + 2)
What is y in -1/3*y**5 - 12 + 3*y**4 + 8*y - 9*y**3 + 23/3*y**2 = 0?
-1, 2, 3
Suppose 0*l**2 + 133*l - 48*l + 5*l**2 = 0. Calculate l.
-17, 0
Let z be 2/9 + (18/(-99) - 1464/(-1188)). Factor 2/11*l**2 + 0 - z*l.
2*l*(l - 7)/11
Suppose -f + 5*f - 410 = 3*n, 2*n + 408 = 4*f. Suppose f*o = 104*o. Factor o*m - 2/9*m**3 + 2/9*m**2 + 0.
-2*m**2*(m - 1)/9
Factor 6*w**3 - 4995 - 5804 - 2*w**3 + 176*w**2 + 11439 + 553*w + 103*w.
4*(w + 2)**2*(w + 40)
Let g(b) be the first derivative of 1 + 1/270*b**5 + 5/2*b**2 + 1/108*b**4 + 0*b**3 + 0*b. Let k(s) be the second derivative of g(s). Solve k(z) = 0.
-1, 0
Let x(k) be the second derivative of -2*k**6/15 + 3*k**5/5 - 2*k**4/3 - 16*k. Suppose x(o) = 0. What is o?
0, 1, 2
Let p(t) = -t**3 - 11*t**2 - 8*t + 14. Let f be p(-10). Let r be 13/5 + f/(-15). Solve -5*a**2 + r - 3 + 3*a**2 + 2*a**3 = 0.
0, 1
Suppose -3*w + 3*a = -9, -2*w + a - 7 = -6*w. Solve -o**5 - 4*o**2 + o**4 - 284*o**3 + 2*o + 287*o**3 - o**w = 0.
-2, 0, 1
Let s(k) be the first derivative of -k**5/20 + k**3/6 - 45*k + 2. Let c(z) be the first derivative of s(z). Factor c(d).
-d*(d - 1)*(d + 1)
Let y be (-2)/(7/(42/(-4))). Solve 4 + 7*m**4 - 4 - m**2 + 2*m - 6*m**y - 2*m**5 = 0.
-1/2, 0, 1, 2
Let f(j) = j**5 + j**4 + j**3 - j**2 + 1. Let h(i) = -5*i**5 - 7*i**4 + 4*i**2 - 4. Let v(p) = -4*f(p) - h(p). Factor v(r).
r**3*(r - 1)*(r + 4)
Let d(w) be the second derivative of w**4/48 - 13*w**3/12 + 25*w**2/8 - 274*w. Find g such that d(g) = 0.
1, 25
Let t(v) be the second derivative of -v**6/20 + 3*v**5/20 + v**4/8 - v**3/2 + 11*v - 2. Find b, given that t(b) = 0.
-1, 0, 1, 2
Suppose 36*i - 90 = 26*i. Let b be 0*(2 + 2 - i/2). Solve -1/3*j**2 + b + 1/3*j = 0.
0, 1
Suppose 0 = -f - 2*f. Suppose f = -2*a + 7 - 1. Factor -8*s + 0*s + s**3 - 3 + 5*s + 2*s**3 + a*s**2.
3*(s - 1)*(s + 1)**2
Let p be (3/(-5))/(215/(-50) - -4). Let k(r) be the second derivative of 4*r - 1/6*r**3 + 0 + 1/30*r**6 + 0*r**p + 1/4*r**4 - 3/20*r**5. Factor k(f).
f*(f - 1)**3
Let z(j) be the first derivative of -j**3/6 - 3*j**2/2 - 4*j - 95. Solve z(v) = 0 for v.
-4, -2
Let x(p) = 2 - 2 + 19*p**2 - 4*p - 2 - 1 - 12*p**2. Suppose 0 = 2*k - 0*k - 4. Let a(d) = -8*d**2 + 4*d + 2. Let n(c) = k*x(c) + 3*a(c). Solve n(b) = 0.
0, 2/5
Solve 3/5*j**2 - 8/5 + 2*j = 0.
-4, 2/3
Let u = 806/87 + -56/29. Let n(d) be the second derivative of 36/5*d**5 - 13*d - 2*d**2 + 0 - u*d**3 - 8*d**4. Suppose n(g) = 0. What is g?
-1/6, 1
Let d(m) be the first derivative of -5*m**4/4 + 35*m**3/3 + 345*m**2/2 + 585*m - 45. Factor d(l).
-5*(l - 13)*(l + 3)**2
Let j(z) be the second derivative of z**7/252 - z**6/90 + z**4/36 - z**3/36 - 277*z. Find f, given that j(f) = 0.
-1, 0, 1
Let b = 12803/2 - 6401. Factor -7/2*u - b*u**2 - 3.
-(u + 1)*(u + 6)/2
Let q = -236 - -164. Let c be (q/(-20))/6*6. Suppose -12/5*x - c - 2/5*x**2 = 0. Calculate x.
-3
Let f(h) be the first derivative of -h**9/5040 + h**8/2800 + h**7/1400 - h**6/600 + 13*h**3/3 + 2. Let t(n) be the third derivative of f(n). Factor t(b).
-3*b**2*(b - 1)**2*(b + 1)/5
Let j(x) be the third derivative of 0 + 23*x**2 - 1/18*x**4 + 1/120*x**5 + 1/12*x**3 + 1/360*x**6 + 0*x. Let j(f) = 0. What is f?
-3, 1/2, 1
Let m be (-4)/((-4)/25)*260/(-50). Let y = -126 - m. Factor 0*s**3 + 0 - 4/7*s**y + 4/7*s**2 - 2/7*s**5 + 2/7*s.
-2*s*(s - 1)*(s + 1)**3/7
Let h = -202 - -1416/7. Factor 0*d + h*d**3 + 0 + 1/7*d**4 + 1/7*d**2.
d**2*(d + 1)**2/7
Let w(v) be the second derivative of 3*v**7/1400 - v**6/120 - v**5/50 + v**4/10 - 11*v**3/6 - 13*v. Let z(o) be the second derivative of w(o). Factor z(d).
3*(d - 