.
5*(h + 1)**2*(h + 2)*(h + 3)
Let i = 19 - 13. Let q be (-4)/((2 - i) + -6). Factor -2/5*d**2 + 2/5 - q*d**3 + 2/5*d.
-2*(d - 1)*(d + 1)**2/5
Suppose -4*m + 41 = -3*b, -b + m - 11 = 3. Let o be (0 - 4) + (3 - 21/b). Factor o*k**2 + 2/5*k - 4/5.
2*(k - 1)*(k + 2)/5
Let d be 1 - 3/(-7 - -4). Solve -k**2 - 24*k - k - 4*k**d = 0.
-5, 0
Let s(a) be the first derivative of a**6/54 - a**5/45 - a**4/36 + a**3/27 + 1052. Let s(u) = 0. Calculate u.
-1, 0, 1
Find h such that -91*h**2 + 892 + 1440*h - 63*h**3 + 132*h**3 - 65*h**2 + 708 - 65*h**3 = 0.
-1, 20
Suppose -30 = 2*i + i. Let a = 17 + i. Factor -15*t**2 - 4 + a - 9*t - 3*t.
-3*(t + 1)*(5*t - 1)
Let k(w) be the second derivative of -w**4/6 - 5*w**3 + 34*w**2 - 15*w + 1. Determine r, given that k(r) = 0.
-17, 2
Factor 1/2*b**2 + 159*b + 25281/2.
(b + 159)**2/2
Let y(w) = w**2 - 42*w - 39. Let s(v) = -3*v**2 + 81*v + 77. Let b(j) = -4*s(j) - 7*y(j). Factor b(q).
5*(q - 7)*(q + 1)
Suppose 3*b + c - 12 = 0, 8*c - 3 = 4*b + 3*c. Factor 10 - 9*u**2 + 2 - 43*u**b + 46*u**3.
3*(u - 2)**2*(u + 1)
Suppose -18*u + 14*u = r - 16, 0 = 3*u - 12. Let p(o) be the second derivative of 0*o**2 + 0*o**4 - 1/60*o**6 + 4*o + r*o**3 + 0 + 1/40*o**5. Factor p(z).
-z**3*(z - 1)/2
Suppose -28*r = -31*r + 3*s, -3*s - 4 = -5*r. Let f(g) be the second derivative of -13/12*g**3 - 1/10*g**5 + 0 + 3/4*g**r + 2/3*g**4 + 6*g. Factor f(c).
-(c - 3)*(2*c - 1)**2/2
Let a = -53941 - -1888333/35. Let j = 84/5 - a. Factor -2*s**4 + j*s**3 + 4/7 + 2/7*s - 30/7*s**2.
-2*(s - 1)**3*(7*s + 2)/7
Let d(c) be the first derivative of c**5/60 - c**4/36 - c**3/18 + c**2/6 + 11*c + 4. Let u(h) be the first derivative of d(h). Let u(f) = 0. Calculate f.
-1, 1
Let l(a) be the second derivative of a**8/1680 + a**4/6 - 5*a**3/6 - 25*a. Let y(n) be the third derivative of l(n). Suppose y(p) = 0. What is p?
0
Let q(l) be the first derivative of 4*l**6/15 + 2*l**5/25 - 6*l**4/5 + 2*l**3/3 + 2*l**2/5 + 95. Let q(g) = 0. Calculate g.
-2, -1/4, 0, 1
Let s(j) = 29*j - 145. Let o be s(5). Let k(q) be the first derivative of 0*q + 9/8*q**4 - 1/3*q**3 + 1 + o*q**2 - 7/10*q**5. Determine y, given that k(y) = 0.
0, 2/7, 1
Suppose -3*i - 3*q = -12, -4*i - 5*q + 4*q = -28. Suppose -i = -5*f + 12. Let -8/3*a**3 - 4*a**2 - 2/3 - 2/3*a**f - 8/3*a = 0. What is a?
-1
Factor -2*x**2 - 14 - 2*x**2 - 31*x**3 + 30*x + 14*x**3 + 18*x**4 - 11*x**3 - 2*x**5.
-2*(x - 7)*(x - 1)**3*(x + 1)
Let g be -1*(-3 - -2) - (-22)/(-18). Let x = 17/36 + g. Determine h so that -1/2 + 1/4*h**2 + x*h = 0.
-2, 1
Let y(f) be the third derivative of f**8/420 + 2*f**7/525 - 7*f**6/150 - f**5/75 + f**4/5 + 976*f**2. Let y(m) = 0. What is m?
-3, -1, 0, 1, 2
Let y(w) = w**4 + 2*w**3 - w**2 - w - 2. Let u(v) = -22*v**3 + 26*v**2 - 3*v + 6. Let t(i) = -4*u(i) - 12*y(i). Determine m, given that t(m) = 0.
0, 1/3, 2, 3
Determine o so that 8*o**5 - 239*o**4 - 3*o**5 - 10*o**2 - 5*o + 249*o**4 = 0.
-1, 0, 1
Solve 2/13*j**3 - 2/13*j**2 + 0 + 0*j = 0.
0, 1
Let n(s) be the second derivative of -s**4/48 - 5*s**3/12 - 9*s**2/8 - s + 166. Factor n(a).
-(a + 1)*(a + 9)/4
Factor 30*m + 5*m**4 - 30*m**3 - 30*m**2 + 22 + 17 - 10*m**2 - 4.
5*(m - 7)*(m - 1)*(m + 1)**2
Let g = -7 + -17. Let a(t) = t + 1. Let y(x) be the third derivative of x**5/60 - x**4/3 - 3*x**3/2 - x**2. Let n(v) = g*a(v) - 3*y(v). Factor n(f).
-3*(f - 1)*(f + 1)
Let l = -201/160 - -601/160. Find n such that 5/2*n**3 - l*n - 5*n**2 + 5 = 0.
-1, 1, 2
Let d(l) be the second derivative of l**7/98 + 5*l**6/14 + 18*l**5/5 + 36*l**4/7 + 3*l + 5. Factor d(z).
3*z**2*(z + 1)*(z + 12)**2/7
Suppose -3*o + 271 + 472 = u, -2*o - u + 495 = 0. Solve -15*v**4 - o*v**2 - 33*v**3 - 1 + 242*v**2 + 1 = 0.
-2, -1/5, 0
Let j(v) be the first derivative of v**7/126 - v**6/45 + v**4/18 - v**3/18 + 20*v - 12. Let f(l) be the first derivative of j(l). Factor f(t).
t*(t - 1)**3*(t + 1)/3
Let y(j) be the second derivative of 7*j**6/6 + 23*j**5/4 + 5*j**4/2 - 70*j**3/3 - 20*j**2 - 105*j. Suppose y(x) = 0. Calculate x.
-2, -2/7, 1
Let z = -1812 - -1816. Find a, given that -5*a**2 - 8*a - 91*a**z + 71*a**3 + 169/5*a**5 - 4/5 = 0.
-2/13, 1
Let k be 48/(-10) + (-9 - (-168)/12). Determine g so that 1/5*g**3 - k*g**2 + 0 + 0*g = 0.
0, 1
Suppose -5 = x - k, 5*x - 10 = 8*k - 10*k. Let c(i) be the second derivative of -1/2*i**2 + 1/4*i**3 + x - 1/24*i**4 - 10*i. Suppose c(y) = 0. Calculate y.
1, 2
Suppose -21*a + 28*a = 14. Let s(t) be the first derivative of 0*t - 4 - 3/4*t**4 + 0*t**a + t**3. Factor s(v).
-3*v**2*(v - 1)
Let q(i) be the third derivative of -2*i**2 + 0*i**4 + 0*i + 1/66*i**5 + 0 + 0*i**3 + 1/660*i**6. Factor q(x).
2*x**2*(x + 5)/11
Let t(l) = -l**2. Let k(h) = -3*h**2 - 2*h. Let v(n) = 6*n**2 + 4*n. Let j(m) = -5*k(m) - 3*v(m). Let z(y) = -3*j(y) + 6*t(y). Determine r so that z(r) = 0.
-2, 0
Suppose 0*j + 6 = 3*j. Factor -3*h + h**3 + j*h**3 + 14 - 14.
3*h*(h - 1)*(h + 1)
Let k(w) = 14*w + 12*w - 11*w - 1. Let c be k(1). Factor 0 + 0 - c*m**4 - 8*m**2 - 20*m**3 + 6*m**4.
-4*m**2*(m + 2)*(2*m + 1)
Let w(f) = -21*f - 19. Let p be w(-1). Let h(g) be the first derivative of -1/30*g**4 + 0*g - 6 + 0*g**3 + 1/15*g**p. Determine l so that h(l) = 0.
-1, 0, 1
Let s = 27004/3 - 9001. Factor -1/6*a**5 + 5/6*a - 2/3*a**3 - s - 1/3*a**2 + 2/3*a**4.
-(a - 2)*(a - 1)**3*(a + 1)/6
Let h(b) = -24*b - 22. Let o be h(-1). Factor -10/13*s**o + 14/13*s - 4/13.
-2*(s - 1)*(5*s - 2)/13
Let x(o) be the first derivative of -28*o**3/3 - 130*o**2 - 72*o - 36. Find s such that x(s) = 0.
-9, -2/7
Suppose 0 = 11*r - 0*r - 88. Let h be (7 - 3)/(r/6). Factor 4/7*j + 0*j**2 + 0 - 4/7*j**h.
-4*j*(j - 1)*(j + 1)/7
Let o(d) be the first derivative of d**6/150 - d**5/100 - d**4/60 + d**3/30 - 3*d + 6. Let m(z) be the first derivative of o(z). Factor m(w).
w*(w - 1)**2*(w + 1)/5
Let s(a) be the third derivative of a**5/100 - 13*a**4/8 + 32*a**3/5 - 2*a**2 - 48*a. Determine g, given that s(g) = 0.
1, 64
Let c(l) be the third derivative of -l**8/336 - 11*l**7/210 + 13*l**6/40 - 41*l**5/60 + 7*l**4/12 - 5*l**2 + 79*l. Determine h so that c(h) = 0.
-14, 0, 1
Let c(v) be the second derivative of -v**4/4 + 6*v**2 + 7*v - 2. Find d such that c(d) = 0.
-2, 2
Let p(b) = 3*b**3 + 3*b**2 - 2*b - 2. Let i be p(-1). Let g(v) be the second derivative of 0*v**2 + i*v**3 + 1/4*v**4 + 0 + 2*v. Factor g(f).
3*f**2
Let b(i) be the first derivative of -2*i**6/9 - 14*i**5/15 - 3*i**4/2 - 10*i**3/9 - i**2/3 - 233. Factor b(n).
-2*n*(n + 1)**3*(2*n + 1)/3
Let -4/7*h**3 - 36/7 + 4/7*h + 36/7*h**2 = 0. Calculate h.
-1, 1, 9
Let c(k) = -13*k + 26. Let a be c(2). Let h = 59/204 + -2/51. What is v in -1/4*v**5 + 1/2*v + a + 3/4*v**4 - 3/4*v**2 - h*v**3 = 0?
-1, 0, 1, 2
Suppose 1309*o - 1320*o = -22. Let 0*z - 1/5 + 1/5*z**o = 0. What is z?
-1, 1
Let n be (-3 - -1)*3/(-2). Factor 4*o**n - 3*o**4 + 0*o**5 - o**4 - 4*o**5 - 2*o**2 + 6*o**2.
-4*o**2*(o - 1)*(o + 1)**2
Factor 0 - 2/5*j**5 + 42/5*j**2 + 82/5*j**3 + 0*j + 38/5*j**4.
-2*j**2*(j - 21)*(j + 1)**2/5
Let b(n) = -2*n**2 - 16*n - 15. Let l be b(-6). Factor -4*x - 5*x**2 + x - l*x + 2*x.
-5*x*(x + 2)
Let s(x) be the third derivative of -7*x**5/30 - x**4/4 - 7*x**3/3 + 7*x**2. Let c(h) = 5*h**2 + 2*h + 5. Let k(b) = 17*c(b) + 6*s(b). Factor k(a).
(a - 1)**2
Let q = -1 - -1. Let h = -1099/3 + 2225/6. Suppose h*l**3 + 3/2*l**5 + q - 3/2*l**2 - 9/2*l**4 + 0*l = 0. Calculate l.
0, 1
Let t(x) be the third derivative of -x**7/1050 + 11*x**6/300 - 47*x**5/100 + 11*x**4/6 - 10*x**3/3 - 198*x**2. Let t(g) = 0. Calculate g.
1, 10
Let u(d) be the first derivative of d**3/4 - 93*d**2/4 + 2883*d/4 - 76. Factor u(o).
3*(o - 31)**2/4
Let h(t) = -2*t + 10. Let l be h(4). Factor -33*z**3 + 5*z**4 - 2 + l - 2*z**3.
5*z**3*(z - 7)
Let j(t) be the first derivative of -5*t**6/6 - 5*t**5 - 35*t**4/4 - 5*t**3 + 112. Let j(z) = 0. What is z?
-3, -1, 0
Let y(j) be the third derivative of -j**6/120 - 9*j**5/10 + j**4/24 + 9*j**3 - 174*j**2. Let y(t) = 0. Calculate t.
-54, -1, 1
Suppose 2*n - 7 = 3*u, 4*n + u = -2 + 9. Let v be (-2*(-2)/90)/(32/320). Determine g, given that -2/9*g**4 + 0 + 4/9*g**3 + 0*g - v*g**5 + 2/9*g**n = 0.
-1, -1/2, 0, 1
Let h(x) = x**3 - 12*x**2 + 8*x - 269. Let b be h(13). Determine f so that -4/5*f**2 + 4/5*f**b + 0 + 0*f + 0*f**3 = 0.
-1, 0, 1
Suppose 3*t - m - 6 = -1, 0 = 3*t