v(a) = 0.
-4, 1, 2
Let h be -1*2/30 + 198/495. Let p(a) be the second derivative of 3*a - h*a**4 + 0 + 8/3*a**3 - 8*a**2. Factor p(v).
-4*(v - 2)**2
Let b be (10/(-20))/((-2)/8). Suppose -8 + 11 + 50*s - 13 + 18*s**b - 2 = 0. What is s?
-3, 2/9
Let n be (-6)/(-4) + (-54)/(-4). Factor -5*l**2 + 10 - n + 0 + 10*l.
-5*(l - 1)**2
Let p(d) be the first derivative of -3*d**5/100 - d**4/15 + d**3/6 + d**2/5 + 11*d - 4. Let h(z) be the first derivative of p(z). Factor h(s).
-(s - 1)*(s + 2)*(3*s + 1)/5
Let r be 2*(-7)/((-21)/24). Let -r*t**2 + 9*t**2 + 5*t + 11*t**2 + 1 = 0. What is t?
-1, -1/4
Let f(r) = -r**3 - 5*r**2 - 14*r - 10. Let t be f(-6). Let x = t + -108. Factor -1/6*s**3 + 1/6*s - 1/3 + 1/3*s**x.
-(s - 2)*(s - 1)*(s + 1)/6
Let s(j) be the third derivative of j**8/4032 + 5*j**7/1008 - j**6/24 + 9*j**5/20 + 20*j**2. Let n(v) be the third derivative of s(v). Factor n(z).
5*(z - 1)*(z + 6)
Let j(h) be the third derivative of -h**6/360 + h**5/40 + h**3/6 + 18*h**2. Let d(b) be the first derivative of j(b). Factor d(a).
-a*(a - 3)
Suppose -4*a - 20 = -4*q, -4*a + 3 = -7*a. Suppose -12*j - 28*j**4 - 52*j**3 - 50*j**3 + 30*j**3 - q*j**5 - 80*j**2 - 20*j = 0. Calculate j.
-2, -1, 0
Suppose -2*n = -5*m + 10, -65*n - 8 = 3*m - 69*n. Factor 1/7*c**m + 8/7*c**3 + 0*c + 16/7*c**2 + 0.
c**2*(c + 4)**2/7
Let n be (0/(-2))/9*(-2)/(-4). Let k(m) be the third derivative of m**2 + 1/360*m**6 + 0*m**3 + 0 + 0*m + n*m**5 - 1/72*m**4. Find t such that k(t) = 0.
-1, 0, 1
Let i(c) be the first derivative of 3*c**4/20 + c**3 - 39*c**2/10 + 21*c/5 + 51. Factor i(q).
3*(q - 1)**2*(q + 7)/5
Let u(i) be the third derivative of -i**6/180 + 4*i**4/9 - 2*i**2 - 146*i. What is o in u(o) = 0?
-4, 0, 4
Let u = -1 + 3. Let h(i) = -33*i**u - 26*i + 2*i**2 + 4*i**2 - 8*i**3 - 17*i**2. Let f(b) = -b**3 - 5*b**2 - 3*b. Let r(t) = -52*f(t) + 6*h(t). Factor r(v).
4*v**2*(v - 1)
Let w(m) be the third derivative of m**5/20 + 5*m**4/4 + 8*m**3 + 28*m**2. Find j, given that w(j) = 0.
-8, -2
Factor 1444/5*n + 77/5*n**3 + 1/5*n**4 + 304*n**2 + 0.
n*(n + 1)*(n + 38)**2/5
Let b(m) = -m**3 + 4*m**2 - m + 6. Let q be b(3). Factor 6 - q + 9 - 3*l**2.
-3*(l - 1)*(l + 1)
Factor -20*b - 110*b**2 + 11*b - 74*b + 5*b**4 + 15*b**3 - 37*b.
5*b*(b - 4)*(b + 1)*(b + 6)
Let i(o) be the third derivative of -1/6*o**4 - 23*o**2 + 0 - 1/90*o**5 + 0*o - 5/9*o**3. What is d in i(d) = 0?
-5, -1
Factor -5/3*p**2 + 65/3*p + 70/3.
-5*(p - 14)*(p + 1)/3
Let t(v) = -v**2 + 5*v - 1. Let r be t(4). Let g(f) = -f**2 + f + 9. Let z be g(r). Solve 3*p**2 - 3*p - 6*p**z + p + 3*p**4 - 9*p**2 - 5*p**4 = 0 for p.
-1, 0
Let v(k) be the first derivative of k**6/24 + 6*k**5/5 + 45*k**4/16 + 11*k**3/6 - 26. Factor v(d).
d**2*(d + 1)**2*(d + 22)/4
Let k(j) = -2*j**2 + 2*j - 1. Let b(a) = -110*a**2 + 38*a - 4. Let y(t) = b(t) - k(t). What is n in y(n) = 0?
1/6
Suppose -15*p**2 + 427*p**2 - 240*p - 828*p + 28*p**3 - 710 - 20*p**4 + 1070 = 0. Calculate p.
-5, 2/5, 3
Solve -36/5*f**2 - 8/5*f + 8/5*f**3 + 0 + 36/5*f**4 = 0.
-1, -2/9, 0, 1
Suppose 4*q - 1040 = s, 2*q - 761 = -q - 4*s. Let x = q + -1289/5. Let 1/5*y**2 - x - 1/5*y = 0. Calculate y.
-2, 3
Find w, given that 4/9*w**2 - 4 - 2*w + 2/9*w**3 = 0.
-3, -2, 3
Let j be -2 - -1 - (0 - 1). Suppose -2*y - y + 24 = j. Factor 10*m**3 - 9*m**2 + 2*m + 2*m**4 - 2*m + 25*m**2 + y*m.
2*m*(m + 1)*(m + 2)**2
Suppose -9216 - 50*s + 2*s**2 - 297*s - 37*s - 6*s**2 = 0. Calculate s.
-48
Let m(w) be the first derivative of 2*w**3/3 + 6*w**2 - 38. Let m(p) = 0. Calculate p.
-6, 0
Let g(f) be the second derivative of 2*f**6/3 + 41*f**5/4 + 275*f**4/6 + 125*f**3/6 + 111*f. Suppose g(l) = 0. What is l?
-5, -1/4, 0
Suppose -26 + 18 = -4*n. Let i = -238 - -241. Factor -6/5*s - 2/5*s**i - 18/5 + 2*s**n.
-2*(s - 3)**2*(s + 1)/5
Let b = 64 - 63. Suppose -5*j + 2*w + 3 + b = 0, -12 = -4*w. Factor 0 + 3/2*z**j + 2*z**3 - 1/2*z.
z*(z + 1)*(4*z - 1)/2
Let x(p) be the second derivative of p**4/4 + 11*p**3/2 + 36*p**2 - 11*p - 2. Factor x(k).
3*(k + 3)*(k + 8)
Let r(q) = -q**3 + q**2 + 4. Let i be r(2). Factor -7*n**3 + 9*n**3 - 2*n**2 - 2*n + i*n**4 + 2*n**4.
2*n*(n - 1)*(n + 1)**2
Let x(u) be the second derivative of -u**10/10080 + u**9/1260 - u**8/448 + u**7/420 + 19*u**4/12 - 9*u. Let f(y) be the third derivative of x(y). Factor f(h).
-3*h**2*(h - 2)*(h - 1)**2
Let r = -2957 - -14831/5. Suppose 8*o - 8/5 + 14/5*o**3 - r*o**2 = 0. What is o?
2/7, 1, 2
Let h(m) be the first derivative of -2*m**5/25 - 11*m**4/10 + 28*m**3/15 + 24*m**2/5 - 253. Let h(d) = 0. Calculate d.
-12, -1, 0, 2
Factor 6*h - 7 - 11*h + 3 + 18 - h**2.
-(h - 2)*(h + 7)
Suppose z - 8 = -3*z. Suppose -5 = z*d - 3*d. Determine m, given that -m**4 + m**4 + m**5 + m**4 - 2*m**d = 0.
0, 1
Suppose 0 = -24*i + 10290 - 930. Let r be ((-9)/6)/((i/8)/(-5)). Let 2/13*l**2 - r*l + 0 = 0. What is l?
0, 1
Let v(z) be the first derivative of z**6/30 + 23*z**5/30 - 4*z**4/3 - 15*z**3 - 28. Let t(q) be the third derivative of v(q). Solve t(f) = 0.
-8, 1/3
Let z(g) = -4*g + 34. Let p be z(15). Let r be 328/104 + 4/p. Determine y so that 1/7*y**r - 4/7*y**2 - 2/7 + 5/7*y = 0.
1, 2
Suppose 3*a + a = 0. Let q be -3 - (a + -2 + -3). Let -4 - 2*n**3 + 9*n**2 + 0 - 5*n**q + 2*n = 0. What is n?
-1, 1, 2
Let f(t) be the first derivative of -2*t**6/3 - 8*t**5 - 27*t**4 - 56*t**3/3 + 56*t**2 + 96*t - 272. Suppose f(u) = 0. What is u?
-6, -2, -1, 1
Let i(t) be the second derivative of 3*t**5/5 - 74*t**4/3 + 278*t**3/3 - 136*t**2 + 32*t. Determine n, given that i(n) = 0.
1, 68/3
Let q(y) be the second derivative of -1/7*y**3 + 5/14*y**4 + 3/70*y**5 + 23*y - 15/7*y**2 + 0. Suppose q(s) = 0. What is s?
-5, -1, 1
Let h(r) = r - 1. Let t(p) = 11*p**2 - 3*p - 14. Let y(c) = 2*h(c) + t(c). Let s(l) = -l**2 + l + 1. Let k(u) = 6*s(u) + y(u). Determine a so that k(a) = 0.
-2, 1
Let n(g) be the first derivative of -g**7/945 + g**5/135 - g**3/27 + 2*g**2 - 11. Let m(x) be the second derivative of n(x). Factor m(l).
-2*(l - 1)**2*(l + 1)**2/9
Factor -1/7*b**2 + 10/7 + 3/7*b.
-(b - 5)*(b + 2)/7
Let i(f) be the third derivative of -1/12*f**6 - 3/20*f**5 - 1/12*f**4 - 1/70*f**7 + 0 + 0*f**3 - 26*f**2 + 0*f. Let i(y) = 0. Calculate y.
-2, -1, -1/3, 0
Let 0 - 1/6*g**4 + 0*g - 1682/3*g**2 + 58/3*g**3 = 0. What is g?
0, 58
Let w(h) be the third derivative of 6241*h**5/60 - 79*h**4/6 + 2*h**3/3 - 149*h**2. Solve w(p) = 0.
2/79
Let u = -50 - -48. Let m be 4 - 3 - (u - 24/(-9)). Factor 0 + 2/3*r + m*r**2.
r*(r + 2)/3
Let o(v) be the second derivative of -v**7/2520 + v**6/1080 + 7*v**3/6 - 4*v. Let z(r) be the second derivative of o(r). Find p, given that z(p) = 0.
0, 1
Factor 146/7*b**3 + 32/7*b**5 - 2/7 - 16*b**4 - 86/7*b**2 + 22/7*b.
2*(b - 1)**3*(4*b - 1)**2/7
Let c be (3 - (-28)/(-20))/((-546)/(-585)). Factor -c*r**4 - 38/7*r**3 - 6*r**2 - 18/7*r - 2/7.
-2*(r + 1)**3*(6*r + 1)/7
Let k(x) be the first derivative of -10*x - 4 - 5/3*x**3 + 15/2*x**2. Factor k(w).
-5*(w - 2)*(w - 1)
Let d(j) be the first derivative of -5*j**3/3 - 135*j**2/2 + 140*j - 219. Factor d(h).
-5*(h - 1)*(h + 28)
Let a be (-6)/(-45) + (-32)/240. Let n(f) be the third derivative of -1/12*f**4 + 0*f**3 + 1/315*f**7 - 1/36*f**6 + a*f + 7/90*f**5 - 5*f**2 + 0. Factor n(p).
2*p*(p - 3)*(p - 1)**2/3
Let n be 24/15 - 4/(-10). Factor -6*o**n + 6*o - 185*o**3 + 176*o**3 + 4*o**2 - 6*o**4 + 11*o**2.
-3*o*(o - 1)*(o + 2)*(2*o + 1)
Let r be 3 + 9/(27/(-6)). Suppose -3*h - r = 5*w, 3*h - 17 = 2*w + 2*w. Factor -2/3*k**2 + 1/3*k - 1/3*k**h + 2/3.
-(k - 1)*(k + 1)*(k + 2)/3
Factor -54*m**3 + 109*m**3 - 3*m**2 - 52*m**3.
3*m**2*(m - 1)
Let i(h) = 3*h**3 - 11*h**2 - 8*h + 20. Let l(m) = -11*m**2 - 14*m**2 + 26*m**2 - m**3 - 1. Let j(v) = i(v) + 4*l(v). Factor j(y).
-(y - 1)*(y + 4)**2
Let p(b) be the third derivative of -2*b**7/105 - b**6/6 + b**5/5 + 13*b**4/6 - 20*b**3/3 - 143*b**2. Suppose p(n) = 0. Calculate n.
-5, -2, 1
Let i(x) be the third derivative of x**7/420 - x**6/80 - 7*x**5/120 + 5*x**4/16 + 3*x**3/2 - 2*x**2 - 37. Find l, given that i(l) = 0.
-2, -1, 3
Let d = -1640 - -3382. Factor -q**2 + 0*q - 1743 + d - q - q.
-(q + 1)**2
Let d(y) = y**5 + y**4 + y**3 - y. Let a(h) = 3*h**5 - 2*h**4 + 36*h**3 - 24*h**2 - h. Let g(x) = a(x) - 6*d(x). Solve g(q) = 0 for q.
-5, 0, 1/3, 1
Let g(s) be the second derivative of s*