6 + 0 + 1/28*t**4. Factor u(h).
-(h - 1)**2*(h + 1)*(h + 7)/7
Factor 2*p**4 + 84 - 4*p**4 + p**2 + 128*p + 7*p**2 + 5*p**4 - 32*p**3 + p**4.
4*(p - 7)*(p - 3)*(p + 1)**2
Let d(v) be the first derivative of -4*v**3/3 + 20*v**2 - 36*v - 56. Solve d(m) = 0 for m.
1, 9
Suppose -3*h = 2*h - 435. Let w be (-4)/18 + h/27. Factor 0*q**w - 2*q + q**2 - q**3 + 2*q**3.
q*(q - 1)*(q + 2)
Suppose -5*v = 2*z + 27, -2*z + 4*v + 19 = 1. Let h(g) = 9*g**2 - 4*g - 5. Let f(j) = -j**2 + j. Let t(n) = z*h(n) - 4*f(n). Factor t(a).
-5*(a - 1)*(a + 1)
Suppose 17*p**2 - 22*p**2 - 15 - 35 + 55*p = 0. What is p?
1, 10
Let o(l) = 2*l**2 + 20*l - 19. Let w be o(-11). Let a(k) be the first derivative of w + 1/12*k**4 - 1/9*k**3 - 1/3*k**2 + 0*k. Factor a(c).
c*(c - 2)*(c + 1)/3
Solve -30*q**2 - 32 - 10*q**2 + 80*q - 32*q**2 - 4*q**4 + 28*q**3 = 0.
1, 2
What is p in -6*p - 15 + 2*p**2 + 2*p - 21 - p**2 + 20*p = 0?
-18, 2
Let g(m) be the third derivative of -1/18*m**4 + 0*m - 2/9*m**3 + 0 - 2*m**2 - 1/180*m**5. Factor g(b).
-(b + 2)**2/3
Find x such that -33/2*x - 21/2*x**2 - 3/2*x**3 - 15/2 = 0.
-5, -1
Suppose -v = 5*k - 101, 3*k + k + 4*v - 84 = 0. Factor 128 - 19*a**2 + 46*a + 55*a**2 - k + 4*a**3 + 62*a.
4*(a + 3)**3
Let q(b) = -11*b**4 + 62*b**3 - 53*b**2 - 102*b + 8. Let d(a) = 4*a**4 - 21*a**3 + 18*a**2 + 34*a - 3. Let k(z) = 8*d(z) + 3*q(z). Find w such that k(w) = 0.
-1, 0, 2, 17
Let w(x) be the first derivative of -4*x**5/5 + 11*x**4 - 12*x**3 - 238*x**2 - 392*x + 109. Find m such that w(m) = 0.
-2, -1, 7
Let o(x) be the third derivative of 1/540*x**6 + 0*x + 8/27*x**3 + 0 - 10*x**2 + 1/45*x**5 + 1/9*x**4. Factor o(k).
2*(k + 2)**3/9
Let k be (-3)/2*(-2 - 2). Suppose k*x + 88 = 10*x. Factor -4*b**3 - 22*b - 4*b**2 + x*b.
-4*b**2*(b + 1)
Let o(f) be the second derivative of -f**5/30 + 19*f**4/18 + f**3/9 - 19*f**2/3 + 2*f - 124. Find g such that o(g) = 0.
-1, 1, 19
Let q(h) be the third derivative of h**6/60 + 7*h**5/30 - 2*h**4/3 + 37*h**2. Determine p, given that q(p) = 0.
-8, 0, 1
Let o(b) = 28*b**2 - 207*b + 59. Let h(f) = 28*f**2 - 206*f + 58. Let z(m) = -3*h(m) + 2*o(m). Suppose z(d) = 0. Calculate d.
2/7, 7
Let x be 59/72 + (-3)/24 + (-40)/90. Factor x*m**4 + 0 + 0*m**2 + 0*m + 7/8*m**5 + 0*m**3.
m**4*(7*m + 2)/8
Suppose -129 = -5*k - 4*p, 98 = 4*k + p - 3*p. Let n be 1/(-5) + (5 - (-15)/k). Let -3*s**3 - 6/5 - 3/5*s**4 - 21/5*s - n*s**2 = 0. What is s?
-2, -1
Let h(c) be the third derivative of -c**7/1155 - c**6/660 + c**5/55 + c**4/33 - 8*c**3/33 + 129*c**2. Find a such that h(a) = 0.
-2, 1, 2
Let n = -33 - -166/5. Let a(q) be the first derivative of -1 + 1/20*q**4 + 0*q - n*q**2 - 1/15*q**3. Let a(t) = 0. Calculate t.
-1, 0, 2
Let l(s) be the first derivative of -3*s**4/16 - s**3 + 3*s**2/2 + 12*s - 115. Determine c, given that l(c) = 0.
-4, -2, 2
Let u(l) be the third derivative of -l**7/350 + 11*l**6/200 - 27*l**5/100 + 5*l**4/8 - 4*l**3/5 - 216*l**2 - 2*l. Solve u(y) = 0 for y.
1, 8
Let h = 17 - 15. Determine p so that 6*p - 2*p**h + p**2 + 10*p**2 + 3*p**3 = 0.
-2, -1, 0
Let p be ((-30)/130)/(3/(-26)). Factor -2*v**3 + 57/2*v**p - 105*v + 49/2.
-(v - 7)**2*(4*v - 1)/2
Let d = 3047/1055 + -103/211. Factor 3/5*i**3 + d + 27/5*i + 18/5*i**2.
3*(i + 1)**2*(i + 4)/5
Let b = 20569 + -20567. Suppose -1/5*h - 1/5*h**b + 2/5 = 0. What is h?
-2, 1
Suppose -26/3 + 25/3*k + 1/3*k**2 = 0. What is k?
-26, 1
Let s = -101 + 101. Let w be 11/4 - (15/(-20))/(-1). Let -2/7*t + s - 6/7*t**w = 0. What is t?
-1/3, 0
Let j(n) = n**4 + n**3 - 2. Let s(f) = -8*f**4 - 5*f**3 + 6*f**2 + 7. Let a(h) = 5*j(h) + s(h). Determine q, given that a(q) = 0.
-1, 1
Let i(c) be the second derivative of 5*c**4/12 + 35*c**3/6 + 15*c**2 - 43*c. Factor i(g).
5*(g + 1)*(g + 6)
Factor 7/4*c - 1/4*c**2 + 9/2.
-(c - 9)*(c + 2)/4
Let k(f) be the third derivative of -f**9/3024 - f**8/1680 - 5*f**3/6 - 3*f**2. Let j(y) be the first derivative of k(y). Factor j(d).
-d**4*(d + 1)
Let p(g) be the third derivative of -2*g**7/315 - g**6/5 + 19*g**5/45 - 351*g**2. Factor p(n).
-4*n**2*(n - 1)*(n + 19)/3
Let p(w) = -w**3 - 2*w**2 - 2. Let f(c) = -2*c**4 + 28*c**3 + 6*c**2 + 24*c + 24. Let a(m) = f(m) + 16*p(m). Let a(o) = 0. What is o?
1, 2
Suppose 2*b - 4 = 4*y, -6*b + b = 3*y - 10. Let p be (5/b)/(15/12). Solve -4 + 4 + 1 + x**4 - 2*x**p = 0 for x.
-1, 1
Let r be (15/12)/((-4)/1104). Let y = -342 - r. Let 6/5*u**2 - 6/5*u**4 + 4/5*u + 0 - 8/5*u**y + 4/5*u**5 = 0. What is u?
-1, -1/2, 0, 1, 2
Let j(t) = 21*t + 5. Let a be j(-1). Let b(h) = 2*h + 34. Let m be b(a). Suppose 3/2*q**m - 1/2 + 7/4*q - q**4 - 7/4*q**3 = 0. Calculate q.
-2, -1, 1/4, 1
Factor -57*v - 12*v**2 + 18*v**2 - 1936 - 10*v**2 - 119*v.
-4*(v + 22)**2
Let s(n) be the first derivative of -n**4/14 + 2*n**3/3 - 11*n**2/7 + 10*n/7 + 47. Factor s(u).
-2*(u - 5)*(u - 1)**2/7
Let k(q) be the third derivative of q**8/12320 - q**7/924 + q**6/165 - q**5/55 - 13*q**4/12 - 21*q**2. Let g(l) be the second derivative of k(l). Factor g(p).
6*(p - 2)**2*(p - 1)/11
Solve 46 + 0*t**5 + 3*t**5 + 45*t**2 + 21*t**2 - 20*t**3 - 118 + 11*t**3 - 12*t - 12*t**4 = 0.
-2, -1, 2, 3
Suppose 0*g + 3*g - 15 = -5*q, g - 5 = -3*q. Suppose 0 = -5*v + g*o + 25, -2*v + 8*o + 16 = 4*o. Factor -1/3*h - 2/3 + 1/3*h**v.
(h - 2)*(h + 1)/3
Let p(x) be the third derivative of x**7/1785 + x**6/340 + x**5/255 - 6*x**2 - 2. Solve p(k) = 0.
-2, -1, 0
Let c = -36 - -82. Factor 5*j**2 + 166*j + 358 - c*j + 362.
5*(j + 12)**2
Let k(t) be the third derivative of -t**8/30240 + t**7/5670 - t**6/3240 + 3*t**4/8 - 7*t**2. Let z(g) be the second derivative of k(g). Factor z(p).
-2*p*(p - 1)**2/9
Let l(i) = 3*i - 1. Let q be l(1). Let y = -2/75 - -47/75. Find n such that 6/5 - 9/5*n + y*n**q = 0.
1, 2
Suppose -40*x + 39*x = 0. Let z(g) be the third derivative of 12*g**2 + 2/35*g**7 + 1/15*g**5 + 0*g**4 + 0*g - 2/15*g**6 + 0*g**3 + x. Factor z(v).
4*v**2*(v - 1)*(3*v - 1)
Let f = -55 - -54. Let b(v) = -v**2 + 1. Let a(k) = -5*k**5 + 5*k**4 + 10*k**3 - 5*k**2 - 5*k. Let s(c) = f*a(c) - 5*b(c). Factor s(j).
5*(j - 1)**3*(j + 1)**2
Let o be 3 + (3 - (0 + 21)). Let t = 17 + o. Determine p so that 1 + 2 + p**2 - 2*p - t = 0.
1
Let b(j) be the first derivative of -2*j**3/15 - 178*j**2/5 - 15842*j/5 - 150. Factor b(l).
-2*(l + 89)**2/5
Determine x, given that -48387 - 43*x - 429*x - 3*x**2 - 290*x = 0.
-127
Let g(i) be the second derivative of i**6/70 - 27*i**5/35 + 179*i**4/14 - 306*i**3/7 + 867*i**2/14 + 9*i + 3. Factor g(n).
3*(n - 17)**2*(n - 1)**2/7
Let j(l) be the third derivative of l**5/40 - 23*l**4/16 - 21*l**2 - 7. Let j(w) = 0. Calculate w.
0, 23
Let v(n) be the third derivative of n**8/294 + 2*n**7/245 - n**5/105 + 5*n**2 + 4. Solve v(r) = 0 for r.
-1, 0, 1/2
Factor -48*p - 244/7*p**2 - 144/7 - 4/7*p**4 - 8*p**3.
-4*(p + 1)**2*(p + 6)**2/7
Factor -225 + o**5 + 44*o**3 + 15*o**4 + 146*o**2 - 103*o**3 - 15*o + 137*o**3.
(o - 1)*(o + 3)**2*(o + 5)**2
Let 12 + 4*u**2 + 9*u**2 - 11*u + 7*u**2 + 4*u**2 - 25*u**2 = 0. Calculate u.
-12, 1
Factor -765/7*d - 3/7*d**3 + 99/7*d**2 - 867/7.
-3*(d - 17)**2*(d + 1)/7
Let z(j) be the first derivative of j**4 - 20*j**3/3 + 14*j**2 - 12*j - 5. Factor z(a).
4*(a - 3)*(a - 1)**2
Let k(t) be the first derivative of 6 + 0*t**2 - 1/18*t**4 + 0*t - 2/27*t**3. Determine n so that k(n) = 0.
-1, 0
Let u = -4/35 - -293/420. Let r(q) be the second derivative of -4*q + 0 + q**2 - 3/2*q**3 + u*q**4. Solve r(a) = 0.
2/7, 1
Let v = 425/6 + -191/2. Let g = v + 25. Solve -k**2 + g*k**3 + 2/3*k + 0 = 0.
0, 1, 2
Let p(g) be the first derivative of -g**6/900 - g**5/75 + g**4/12 - 4*g**3/3 - 2. Let b(o) be the third derivative of p(o). Factor b(d).
-2*(d - 1)*(d + 5)/5
Let u = 503 - 501. What is x in 4/9*x**u - 2/9*x**5 + 8/9*x**4 + 0*x - 10/9*x**3 + 0 = 0?
0, 1, 2
Let p(x) be the first derivative of x**6/8 + x**5/2 + 3*x**4/4 + x**3/2 + x**2/8 + 19. Factor p(h).
h*(h + 1)**3*(3*h + 1)/4
Let z(c) be the first derivative of 0*c**3 + 36 - 1/8*c**2 + 1/16*c**4 + 0*c. Let z(l) = 0. What is l?
-1, 0, 1
Suppose 8*a - 6 = 26. Let z(x) be the third derivative of 0*x + 0 + 4*x**2 + 1/4*x**a + 1/70*x**7 - 3/20*x**5 + 0*x**3 + 0*x**6. Suppose z(n) = 0. What is n?
-2, 0, 1
Suppose 4*g**2 + 0 - 2/11*g**5 - 48/11*g - 8/11*g**4 + 14/11*g**3 = 0. Calculate g.
-4, -3, 0, 1, 2
Suppose 4/7*v**