*2*(i - 1)*(2*i + 1)
Let q be (-6*1/4)/((-6)/64). Suppose 3*f = -0*t + 2*t - q, 2*t - 2*f - 12 = 0. Solve 1/3*v**t + 0*v + 0 + 1/3*v**4 - 2/3*v**3 = 0.
0, 1
Let t be (-16)/(-72)*(8 + 1). Let v be (-2)/2 + (-45)/(-9). Let 3 - 435*h**v + 175*h**5 - 19 + 32*h**3 + 208*h**t + 36*h**3 = 0. Calculate h.
-2/5, 2/7, 1, 2
Let t(d) be the first derivative of 0*d**3 - 16 - 1/5*d**5 + 0*d - 1/2*d**4 + 0*d**2 + 1/6*d**6. Determine g so that t(g) = 0.
-1, 0, 2
Let f(g) = 4*g + 0*g + 0 - 2 + 0. Let u be f(1). Let -2/5*t**3 + 0 + 2/5*t + 0*t**u = 0. What is t?
-1, 0, 1
Factor -32/15 - 2/15*p**3 - 4/5*p + 6/5*p**2.
-2*(p - 8)*(p - 2)*(p + 1)/15
Suppose r - 10*r = 0. Suppose 0 = 5*h - g - 8 + 2, 4*h + 4*g - 24 = 0. Factor r*o**3 + 0*o + 0 - 1/3*o**h + 1/3*o**4.
o**2*(o - 1)*(o + 1)/3
Factor -56/3*c**2 + 26/3*c**3 + 0 + 8/3*c.
2*c*(c - 2)*(13*c - 2)/3
Let i = 5 - -1. Let i*d**4 - 32*d - d**4 - 12 - 8*d**2 - 16*d**2 - d**4 = 0. Calculate d.
-1, 3
Let k(m) be the second derivative of 9*m**2 + 0 + 8*m**3 + 4/5*m**5 + 1/15*m**6 - 4*m + 11/3*m**4. Factor k(l).
2*(l + 1)**2*(l + 3)**2
Let b(m) = -m**2 + 9*m + 4. Let l(p) = -2*p**2 + 18*p + 7. Let c(r) = 7*b(r) - 4*l(r). Let c(u) = 0. What is u?
0, 9
Let p be (-75)/10*(-2)/3. Find d such that 8*d**3 - 21*d**5 - 27*d**5 - 27*d**p + 71*d**5 + 4*d**4 = 0.
-1, 0, 2
Let a be 3/(-15) + (-38)/(-90). Let x = 8/3119 + 12404/28071. What is d in -x + 2/9*d + a*d**2 = 0?
-2, 1
Let h(s) be the second derivative of -1/60*s**4 + 0 + 1/10*s**3 + 2/5*s**2 - 3*s. Solve h(b) = 0.
-1, 4
Suppose 15 = 4*a + 3*z - 4*z, 4*z + 3 = -3*a. Let i(p) be the second derivative of 0 + 1/3*p**2 - 4*p + 1/18*p**4 + 5/18*p**a. Suppose i(l) = 0. What is l?
-2, -1/2
Let m(d) be the first derivative of 3*d**4/2 - d**3 - 3*d**2/2 - 35. Factor m(p).
3*p*(p - 1)*(2*p + 1)
Factor -24/11 + 2/11*s**2 + 2/11*s.
2*(s - 3)*(s + 4)/11
Factor -4*t + 12*t**3 + 18*t**2 + t**5 + 2*t**5 - 18*t**4 - 11*t.
3*t*(t - 5)*(t - 1)**2*(t + 1)
Factor -44/9*k**2 - 16/9 + 56/9*k + 10/9*k**3.
2*(k - 2)**2*(5*k - 2)/9
Let n(g) be the second derivative of -g**4/24 + 37*g**3/2 - 12321*g**2/4 - 220*g. Solve n(f) = 0 for f.
111
Let h(x) be the second derivative of -x**5/70 - 94*x**4/21 - 8836*x**3/21 - x - 543. Factor h(w).
-2*w*(w + 94)**2/7
Let f be (-54)/(-4)*(-3 + 5). Let r = f - 20. Find l such that -9*l**4 + 2*l**3 - 3*l**5 - 3*l**2 + 2*l**5 + 4*l**5 + r*l**3 = 0.
0, 1
Let u be 1*2/(-4)*-6. Let f be -6*(u - 28/8). Factor 18*b**5 + 48*b**4 + 2*b**3 + 32*b**3 + 2*b + 16*b**2 + 9*b**f + b**3.
2*b*(b + 1)**2*(3*b + 1)**2
Let f(i) be the second derivative of -i**5/12 + 5*i**4/12 + 20*i**3/3 + 11*i**2/2 + 13*i. Let m(l) be the first derivative of f(l). Factor m(k).
-5*(k - 4)*(k + 2)
Let c(v) = -4*v**2 + 1. Let x be c(2). Let a = x + 18. What is z in -4 - 4*z + 2*z**3 - 7*z**2 + 11*z**2 + 2*z**a = 0?
-1, 1
Suppose 2*o = 6*g + 1048 - 1050, 0 = -5*o - 4*g + 14. Factor -5/4*j**o - 125 + 25*j.
-5*(j - 10)**2/4
Suppose -16 = -0*a - 2*a. Let w = a + -6. Factor 0*f - w*f + 2*f + 2*f**5 - 2*f**4 + 2*f**2 - 2*f**3.
2*f**2*(f - 1)**2*(f + 1)
Let g be (-3)/5 - 5/25*-123. Solve -12*r + 7*r - 15*r**3 - 3*r**4 - 7*r - g*r**2 = 0.
-2, -1, 0
Let t(i) be the first derivative of -17 + 0*i**2 + 1/8*i**4 + 1/2*i**3 + 0*i. Solve t(f) = 0 for f.
-3, 0
Let a be ((-3)/1 + 3)/2. Let r be 4/(a + (-8)/(-6)). Suppose s + 3*s**r + 0*s**3 + 6*s**2 + 2*s = 0. What is s?
-1, 0
Let l(a) be the third derivative of 0*a + 0 + 0*a**3 + 1/100*a**5 - 1/200*a**6 - 10*a**2 + 1/20*a**4. Factor l(p).
-3*p*(p - 2)*(p + 1)/5
Factor 6 - 80*a**3 - 15*a + 40*a**4 - 6 + 65*a**2 - 20*a**4.
5*a*(a - 3)*(2*a - 1)**2
Suppose -1/4*o**4 + 0 + 9/2*o**3 - 1/4*o**5 + 10*o + 13*o**2 = 0. What is o?
-2, 0, 5
Let k be (-3)/(-30) - (-43)/(-430). Let t(c) be the second derivative of -1/4*c**4 + 1/20*c**5 + k*c**2 + 0*c**3 - 2*c + 0. Factor t(i).
i**2*(i - 3)
Let d(w) be the second derivative of w**4/66 - 2*w**3/33 - 8*w**2/11 + 58*w. Factor d(i).
2*(i - 4)*(i + 2)/11
Factor -48778 - 87/2*q**2 - 1/4*q**3 - 2523*q.
-(q + 58)**3/4
Let g(p) = p**5 + p**4 - p**3 - p + 1. Let h(q) = -18*q**4 - 15*q**3 + 8*q**2 - 5*q + 5. Let f(c) = 5*g(c) - h(c). Find x such that f(x) = 0.
-4, -1, 0, 2/5
Let c(b) be the first derivative of 0*b**2 + 0*b**4 + 8/3*b**3 + 2 + 1/8*b**6 + 0*b + 1/12*b**5. Let l(y) be the third derivative of c(y). Factor l(x).
5*x*(9*x + 2)
Let o(h) be the second derivative of -2*h**7/105 + h**6/30 + 2*h**5/15 - 6*h**2 + 9*h. Let j(t) be the first derivative of o(t). Let j(x) = 0. What is x?
-1, 0, 2
Let o(z) be the first derivative of z**4/8 - 15*z**3/2 + 675*z**2/4 - 3375*z/2 - 24. Find a, given that o(a) = 0.
15
Let a(m) be the second derivative of 6*m**6/5 - 2*m**5/5 - 12*m**4 + 16*m**3/3 - 89*m + 3. Suppose a(i) = 0. Calculate i.
-2, 0, 2/9, 2
Let y(d) be the second derivative of -d**7/735 - d**6/105 + d**2 + 4*d. Let f(r) be the first derivative of y(r). Solve f(w) = 0.
-4, 0
Let a(j) = 10*j**2 - 20*j + 4. Suppose 3*m - 2 = 1. Let r(p) = p**2 - p - 1. Let n(d) = m*a(d) - 4*r(d). What is i in n(i) = 0?
2/3, 2
Suppose -14*t + 63 = -7. Let w(r) be the first derivative of -4/5*r**t + 4*r**2 - 1 + 4*r**3 + 0*r + 0*r**4. Factor w(h).
-4*h*(h - 2)*(h + 1)**2
Let d(i) be the third derivative of -i**8/112 + 16*i**7/35 - 111*i**6/20 - 136*i**5/5 - 289*i**4/8 - 281*i**2. Determine h so that d(h) = 0.
-1, 0, 17
Let j(i) = -3*i**3 - 33*i + 54. Let d(t) = 4*t**3 + t**2 + 32*t - 58. Let v(h) = -6*d(h) - 7*j(h). Find x, given that v(x) = 0.
-5, 1, 2
Let a(n) be the second derivative of -13*n + 0 + 0*n**2 - 1/2*n**3 + 1/12*n**4. Suppose a(g) = 0. Calculate g.
0, 3
Let n = -482 - -482. Let a(t) be the first derivative of -40/21*t**3 + 4/7*t**2 + 25/14*t**4 + n*t - 6. Factor a(g).
2*g*(5*g - 2)**2/7
Factor 0*v - 33*v**4 + 318/5*v**3 + 0*v**2 + 3/5*v**5 + 0.
3*v**3*(v - 53)*(v - 2)/5
Factor 22*h**2 + 2*h**3 - 22*h**3 + 289*h**4 - 291*h**4.
-2*h**2*(h - 1)*(h + 11)
Let d be (13/(13/10))/((-10)/(-4)). Factor 2/9*u**d + 0*u + 0 - 2/9*u**3 + 0*u**2.
2*u**3*(u - 1)/9
Let c(s) be the second derivative of s**6/45 + 25*s**5/24 - 229*s**4/72 + 67*s**3/36 + 11*s**2/4 - 29*s. Determine x, given that c(x) = 0.
-33, -1/4, 1
What is p in 5*p**2 + 10 - 24 + 14 = 0?
0
Let j(y) be the first derivative of -3*y**6/11 + 42*y**5/55 - 5*y**4/11 - 4*y**3/11 + 3*y**2/11 + 2*y/11 + 139. Let j(b) = 0. What is b?
-1/3, 1
Let x(p) be the second derivative of -p**7/21 + 3*p**5/2 + 5*p**4/3 - 20*p**3 - 72*p**2 + 23*p. Let x(q) = 0. Calculate q.
-2, 3
Let i(h) be the third derivative of -h**6/480 + h**5/24 - 3*h**4/32 + 197*h**2. Suppose i(z) = 0. What is z?
0, 1, 9
Let l(v) = -16*v + 31. Let f be l(2). Let u be (f/(-7))/((-6)/(-21)). Factor 3*i + 9/2 + u*i**2.
(i + 3)**2/2
Let v(w) = -8*w**3 - 16*w**2 - 4*w. Let d(l) = -7*l**3 - 14*l**2 - 4*l. Let c(k) = -4*d(k) + 3*v(k). Factor c(h).
4*h*(h + 1)**2
Suppose -66/7*k**2 - 3/7*k**4 - 27/7 + 72/7*k + 24/7*k**3 = 0. What is k?
1, 3
Let j be 4*8/128*0. Solve -1/3*n**4 + 0*n**3 + j*n**2 + 0 + 0*n = 0.
0
Let w be ((0 - -2) + -3)*(-8)/2. Let c(g) be the second derivative of -9*g + 2/7*g**2 + 0*g**3 + 2/35*g**5 + 0 - 1/7*g**w. Factor c(i).
4*(i - 1)**2*(2*i + 1)/7
Factor -18 + 27*k - 1/3*k**3 - 9*k**2 + 1/3*k**4.
(k - 3)**2*(k - 1)*(k + 6)/3
Find x, given that 20*x**4 + 38*x**5 - 10*x**5 - 92*x**3 + 8*x**2 - 55 - 12*x**2 + 64*x + 39 = 0.
-2, -1, 2/7, 1
Let t = -837/4 - -931/4. Let m = t + -23. Solve -v**2 - v**3 - 1/2*v**5 + 3/2*v + 3/2*v**4 - m = 0.
-1, 1
Let o(g) = -g**2 + 5 + 7*g - 1 - 5*g + 2*g. Let a(m) = -m**2 + m + 1. Let y(q) = -4*a(q) + o(q). Solve y(z) = 0.
0
Let k(q) = 2*q**2 + 2*q - 2. Suppose 2 = 4*s + 10. Let x be k(s). Find a, given that 2*a**2 - 4*a**x + 164*a**4 - 162*a**4 = 0.
-1, 0, 1
Let f(c) = c. Let p be f(0). Suppose 2*h = -0*h - 3*r + 19, -h + 5*r - 23 = p. Factor 86/5*z**h - 146/5*z**3 + 112/5*z**4 - 22/5*z - 32/5*z**5 + 2/5.
-2*(z - 1)**3*(4*z - 1)**2/5
Let m(d) be the third derivative of -d**5/15 - 9*d**4/2 - 280*d**3/3 - 3*d**2 + 65. Factor m(t).
-4*(t + 7)*(t + 20)
Let p(x) be the third derivative of x**7/315 - x**6/180 - 2*x**5/45 + x**4/9 + 734*x**2. Factor p(h).
2*h*(h - 2)*(h - 1)*(h + 2)/3
Let j = 121 + -119. Factor -6*o + 0*o - 290*o**2 + 289*o**j.
-o*(o + 6)
Let s(n) be the second derivative of -5*n**4/48 - n