 + l**5/120 - l**3/6 - 4*l**2. Let h(g) be the first derivative of t(g). What is q in h(q) = 0?
-2, -1, 0
Let d(b) be the second derivative of b**7/21 + 4*b**6/15 + 3*b**5/5 + 2*b**4/3 + b**3/3 - 9*b. Factor d(z).
2*z*(z + 1)**4
Suppose 5*f - 26 + 11 = 0. Factor t + 0*t**2 + 0*t**3 - t**2 - t**f + 1.
-(t - 1)*(t + 1)**2
Let n = -9 + 11. Find z, given that 3*z**2 - 3*z**3 - 2*z**n + z**2 + z**2 = 0.
0, 1
Factor 0*m + 0 - 4/7*m**4 + 1/7*m**3 + 0*m**2.
-m**3*(4*m - 1)/7
Let k = -3 - -5. Factor 2*f**4 + 4*f - 2*f - k*f**3 - 3*f**2 + f**2 + 0*f.
2*f*(f - 1)**2*(f + 1)
Let f(g) be the third derivative of g**7/210 + 3*g**6/40 + 2*g**5/15 - 26*g**2. Let f(z) = 0. What is z?
-8, -1, 0
Factor 0 - 2/3*z**2 - 4/3*z + 2/3*z**3.
2*z*(z - 2)*(z + 1)/3
Let z be ((-69)/46)/(9/(-4)). Solve z*t - 1/3*t**2 + 0 = 0 for t.
0, 2
Let a(j) = -3*j**2 - 3 + 3 + 2*j**2. Let b(f) = 6*f**2 - 2. Let x(s) = -4*a(s) - b(s). Determine h, given that x(h) = 0.
-1, 1
Let x = 3 - 1. Factor 4*s**2 + 4*s**2 + 8*s - 6*s**x + 8.
2*(s + 2)**2
Let k(u) = 6*u**3 - 14*u**2 - 40*u - 31. Let s(l) = l**3 - 3*l**2 - 8*l - 6. Let a(n) = -2*k(n) + 11*s(n). Factor a(v).
-(v + 1)*(v + 2)**2
Let c be 0/((-4 - -5)*1). Let k(i) be the second derivative of -2/3*i**2 + 2/9*i**4 + i + 7/9*i**3 + c. Factor k(d).
2*(d + 2)*(4*d - 1)/3
Let l = 29/2 + -143/10. Factor l*w**2 - 1/5 + 0*w.
(w - 1)*(w + 1)/5
Solve 4/9*l**3 - 4/9*l**2 - 2/9 + 2/3*l**4 - 2/3*l + 2/9*l**5 = 0.
-1, 1
Find k, given that 0 + 4/3*k + 2*k**2 - 10/3*k**3 = 0.
-2/5, 0, 1
Let z be ((-84)/49)/3*2/(-2). Factor z - 2/7*t**3 - 10/7*t + 8/7*t**2.
-2*(t - 2)*(t - 1)**2/7
Let r(w) be the first derivative of w**5/15 + w**4/6 - w**2/3 - w/3 + 23. Solve r(p) = 0.
-1, 1
Let j(s) be the second derivative of s**6/240 - s**5/160 - 9*s. Factor j(o).
o**3*(o - 1)/8
Let z(c) be the second derivative of -c**4/27 - 2*c**3/27 + 19*c. Solve z(q) = 0 for q.
-1, 0
Let h(k) be the third derivative of k**6/660 + k**5/330 - 4*k**2. Factor h(l).
2*l**2*(l + 1)/11
Let x(l) be the first derivative of l**8/1680 - l**6/180 + l**4/24 - 2*l**3/3 - 1. Let h(f) be the third derivative of x(f). What is k in h(k) = 0?
-1, 1
Let l be 2/(-80) + 2/5. Let i(r) be the first derivative of -3/4*r**2 + l*r**4 + 0*r**3 + 1 + 0*r. Find n such that i(n) = 0.
-1, 0, 1
Suppose -56*u + 126 = -14*u. Factor -u*d**4 - 3/2*d**5 + 3*d**2 + 0 + 3/2*d + 0*d**3.
-3*d*(d - 1)*(d + 1)**3/2
What is a in 2/9*a**3 - 4/9*a**4 + 0*a**2 + 2/9*a**5 + 0 + 0*a = 0?
0, 1
Let v(q) = 24*q**3 - 77*q**2 - 3*q + 77. Let y(p) = 11*p**3 - 38*p**2 - 2*p + 38. Let s(c) = 3*v(c) - 7*y(c). What is g in s(g) = 0?
-1, 1, 7
Let v(z) be the second derivative of -z**4/8 - 3*z**3/4 - 3*z**2/2 + 5*z. Factor v(h).
-3*(h + 1)*(h + 2)/2
Let o(n) be the third derivative of n**5/300 + n**4/30 + n**3/10 - 8*n**2. Let o(g) = 0. What is g?
-3, -1
Suppose 5*h + 71 = -3*w, h + h + w = -28. Let d = h - -15. Suppose 1/2 - 1/2*c**3 - 1/2*c**d + 1/2*c = 0. Calculate c.
-1, 1
Let x(l) = l**3 - 26*l**2 - 39*l - 1. Let f(p) = -p**3 + 13*p**2 + 20*p. Let w(g) = -7*f(g) - 4*x(g). Determine r, given that w(r) = 0.
-2, -1/3
Let a = -125/6 + 21. Let d(p) be the second derivative of a*p**4 + p**2 + 0 - 2/3*p**3 + p. Find h such that d(h) = 0.
1
Let m = -3 - 0. Let f be ((-500)/(-28))/5 + m. Factor 8/7*i - 8/7 + 6/7*i**2 - 2/7*i**4 - f*i**3.
-2*(i - 1)**2*(i + 2)**2/7
Let c(h) be the second derivative of -h**9/10080 + h**8/1120 - h**7/336 + h**6/240 + h**4/12 + h. Let y(r) be the third derivative of c(r). Factor y(a).
-3*a*(a - 2)*(a - 1)**2/2
Let j = -23/17 + 477/340. Let a(d) be the second derivative of -1/6*d**3 + 3*d + 0 + d**2 + j*d**5 - 1/6*d**4. Factor a(x).
(x - 2)*(x - 1)*(x + 1)
Let z be (-38)/24 + 5/15. Let c = 43/28 + z. Let 6/7*o + c*o**2 - 6/7*o**3 + 2/7 - 4/7*o**4 = 0. What is o?
-1, -1/2, 1
Let x(g) = -5*g**4 - 3*g**3 + 8*g**2 - 3. Let h(o) = 15*o**4 + 8*o**3 - 23*o**2 + 8. Let v(c) = 3*h(c) + 8*x(c). Factor v(m).
5*m**2*(m - 1)*(m + 1)
Let j be -5*(144/75 + -2). Factor -j*u**2 - 2/5*u + 0.
-2*u*(u + 1)/5
Let y(v) be the third derivative of -2*v**7/735 - 2*v**6/105 + v**5/105 + 2*v**4/21 - 34*v**2. Factor y(b).
-4*b*(b - 1)*(b + 1)*(b + 4)/7
Let f = 6660631/138044 - 2/34511. Let j = f - 48. Factor -j - r + 5/4*r**2.
(r - 1)*(5*r + 1)/4
Let a(f) be the third derivative of -f**6/280 + f**4/56 - 3*f**2. Determine l, given that a(l) = 0.
-1, 0, 1
Let a(b) = 23*b**3 - 12*b**2 + 6*b + 17. Let j(t) = -8*t**3 + 4*t**2 - 2*t - 6. Let h(p) = -6*a(p) - 17*j(p). Factor h(g).
-2*g*(g - 1)**2
Solve -2*s**4 + 7*s**5 - 4*s**3 - 2*s**5 - 3*s**5 = 0.
-1, 0, 2
Let d(i) be the second derivative of i**7/462 - i**6/55 + i**5/20 - i**4/66 - 2*i**3/11 + 4*i**2/11 - i. Factor d(h).
(h - 2)**3*(h - 1)*(h + 1)/11
Suppose 5*y**3 + 7*y**4 - 3*y**2 - 11*y**3 - 10*y**4 = 0. Calculate y.
-1, 0
Let i(q) be the second derivative of 5*q**4/12 + q**3/3 + 3*q. Find j such that i(j) = 0.
-2/5, 0
Let t(g) = 2*g + 6. Let v be t(-3). Let s = 0 + v. Factor 1/3*h**2 + 0*h + s.
h**2/3
Let b = -178 - -181. Factor -1/4*p + 1/4*p**2 + 1/4*p**b + 0 - 1/4*p**4.
-p*(p - 1)**2*(p + 1)/4
Find m, given that 0 + 2/5*m**3 + 0*m - 2/5*m**5 + 2*m**2 - 2*m**4 = 0.
-5, -1, 0, 1
Factor 2*x + 2 - 194*x**2 - 9*x + 199*x**2.
(x - 1)*(5*x - 2)
Let -8*s - 17*s + 2*s**2 + 300 + s**2 + 85*s = 0. What is s?
-10
Suppose 21 - 25 = -s. Determine m, given that -2*m**3 - 8/11*m**5 + 0 + 0*m + 4/11*m**2 + 26/11*m**s = 0.
0, 1/4, 1, 2
Let o = 97/2 + -48. Let r(u) be the first derivative of o*u**4 + 0*u + 4/3*u**3 + u**2 + 1. Let r(j) = 0. What is j?
-1, 0
Let l + 1/4*l**3 + 0 - l**2 = 0. Calculate l.
0, 2
Let a be ((-4)/(-5))/((-4)/(-10)). Let h = -140 - -1262/9. What is w in 4/9*w + 2/9*w**a + h = 0?
-1
Let b(n) be the third derivative of n**8/1344 + n**7/840 - n**6/480 - n**5/240 + 5*n**2. Determine z, given that b(z) = 0.
-1, 0, 1
Let v(s) be the second derivative of -s**7/210 + s**6/15 - 2*s**5/5 + 4*s**4/3 - 8*s**3/3 + 16*s**2/5 + 6*s. Factor v(y).
-(y - 2)**5/5
Let f(n) be the second derivative of -n**5/5 - n**4/3 - 6*n. Factor f(h).
-4*h**2*(h + 1)
Let z(q) be the second derivative of 4*q**7/3 + 43*q**6/15 - 11*q**5/10 - 41*q**4/6 - 17*q**3/3 - 2*q**2 + 3*q. Find h, given that z(h) = 0.
-1, -2/7, -1/4, 1
Find h such that -12*h - 20*h - 73*h**2 + 64 + 77*h**2 = 0.
4
Suppose 16*o + 12 = 18*o. Let a(b) be the third derivative of -2*b**2 - 1/33*b**3 + 1/1155*b**7 - 1/66*b**4 + 1/330*b**o + 0*b**5 + 0 + 0*b. Factor a(q).
2*(q - 1)*(q + 1)**3/11
Let y be (-12)/(-2) - (0 + -2)*-2. Solve -16/11*c**3 + 0*c + 0 + 10/11*c**4 - 2/11*c**5 + 8/11*c**y = 0.
0, 1, 2
Let y(u) be the third derivative of u**5/240 - u**4/192 - u**3/48 + 2*u**2. Factor y(i).
(i - 1)*(2*i + 1)/8
Let x = 359290/189 + -1901. Let u(f) be the second derivative of 0*f**6 + 0*f**5 + 0 + 0*f**4 + 0*f**3 - x*f**7 + 0*f**2 + f. Find t, given that u(t) = 0.
0
Let j(c) = -3*c**2 + 6*c + 9. Let l(h) = h**2 - 3*h - 4. Let u(x) = 4*j(x) + 9*l(x). Factor u(f).
-3*f*(f + 1)
Let s(m) = -6*m**3 + 30*m**2 + 34*m - 11. Let p(g) = -g**3 + 6*g**2 + 7*g - 2. Let h(n) = -33*p(n) + 6*s(n). Suppose h(b) = 0. What is b?
-3, 0
Suppose -5*c + 13 = -i, -c - 4*i - 4 = 6. Let p(b) be the first derivative of -1/10*b**5 + 0*b**c + 0*b**4 + 0*b**3 - 3 + 0*b. Determine x so that p(x) = 0.
0
Suppose -5*o + 22 + 8 = 0. Let g(a) be the first derivative of -4 - 1/27*a**o + 2/27*a**3 + 1/18*a**4 - 2/45*a**5 + 0*a**2 + 0*a. Solve g(p) = 0 for p.
-1, 0, 1
Suppose -5*h + 18 = -h + 5*u, -5*h = 5*u - 20. Let n(c) = 2*c**2. Let f be n(1). Factor -h*p + p + p**4 + p**4 + p**5 - 2*p**f.
p*(p - 1)*(p + 1)**3
Let q = -8632/15 + 576. Factor -4/15*b - q*b**4 - 2/15 + 8/15*b**3 + 2/5*b**2.
-2*(b - 1)**2*(2*b + 1)**2/15
Let d(i) be the second derivative of 2*i - 3/20*i**5 + 1/12*i**4 - 1/30*i**6 + 0 + 1/42*i**7 + 0*i**2 + 1/3*i**3. Find w such that d(w) = 0.
-1, 0, 1, 2
Suppose -35 = 2*p - 7*p. Let f(x) = x**2 - 7*x + 3. Let n be f(p). Factor 0*z + 1/4*z**4 - 1/4*z**2 + 0 + 0*z**n.
z**2*(z - 1)*(z + 1)/4
Let c = -10 + 6. Let i = c - -7. Solve -4*a - a**3 + 2*a**2 + 0*a + i*a = 0 for a.
0, 1
Let t(a) = -a**3 - 6*a**2 + 7*a. Let g be t(-7). Let x be -2 + 1*(2 - 0). Factor 2/5*o**4 + g*o**2 + 0*o + 2/5*o**3 + x.
2*o**3*(o + 1)/5
What is b in 14/13*b - 2/13*b**2 - 12/13 = 0?
1, 6
Let f(x) =