-20
Determine q, given that 15/4*q - 1/4*q**3 + 0 + 7/2*q**2 = 0.
-1, 0, 15
Let t = -4524 + 4524. Factor 1/2*l - 1/3*l**2 + t - 1/6*l**3.
-l*(l - 1)*(l + 3)/6
Let t(y) be the first derivative of -6 - 1/6*y**3 + 3/2*y - 1/2*y**2. Factor t(i).
-(i - 1)*(i + 3)/2
Let u be (-1115)/30 - 2/6. Let v = 38 + u. Factor 0*n**2 + n**4 + 0*n + 0 + v*n**5 + 1/2*n**3.
n**3*(n + 1)**2/2
Let o(d) be the third derivative of d**7/70 - d**6/90 + 3*d**3/2 - 8*d**2. Let c(b) be the first derivative of o(b). Let c(t) = 0. What is t?
0, 1/3
Factor 0 + 1/11*g**2 + 2/11*g.
g*(g + 2)/11
Let q(b) be the first derivative of -b**6/15 - 28*b**5/25 - 34*b**4/5 - 52*b**3/3 - 15*b**2 - 523. Find v such that q(v) = 0.
-5, -3, -1, 0
Let j(g) be the third derivative of -g**8/11200 + g**7/700 - g**6/100 + g**5/25 - g**4/6 + 6*g**2. Let n(u) be the second derivative of j(u). Factor n(w).
-3*(w - 2)**3/5
Let s(r) be the second derivative of 2*r**6/15 + 2*r**5/5 - r**4 - 113*r. Factor s(g).
4*g**2*(g - 1)*(g + 3)
Suppose 50/3*j + 123/2*j**3 - 199/6*j**4 - 2 - 293/6*j**2 + 35/6*j**5 = 0. What is j?
2/7, 2/5, 1, 3
Let z(j) be the second derivative of j**6/36 - 11*j**5/24 + 25*j**4/36 - 257*j. Find p, given that z(p) = 0.
0, 1, 10
Let f(b) = -64*b - 11262. Let d be f(-176). Factor 2*q**d + 6*q + 2/9*q**3 + 6.
2*(q + 3)**3/9
Let m = 114 - 94. Suppose 4*h - m = -4*k - 4, 0 = -3*h - 5*k + 16. Factor -34/5*r - 12/5 - 2*r**h.
-2*(r + 3)*(5*r + 2)/5
Let c(g) = 1 - 2*g - 474*g**4 + 31*g**2 - 13*g + 12*g**5 + 3*g**3 + 443*g**4. Let j(l) = -l**4 + l**3 + l**2 - l - 1. Let i(s) = -c(s) - j(s). Solve i(o) = 0.
-1, 0, 2/3, 1, 2
Suppose 112*p - 4 = l + 111*p, -2*l - 4*p + 16 = 0. Suppose -7*y = -2*y + 3*a - 15, -2*a + 10 = y. Suppose 2/5*t**2 + l*t + y - 1/5*t**3 = 0. Calculate t.
0, 2
Let p = -29 + 33. Suppose 0 = 6*n - 16 + p. Solve 0*t - 10 + 7*t**2 - 2*t**n + 0*t + 5*t = 0 for t.
-2, 1
Let s(n) be the first derivative of -2*n**6/21 + 4*n**5/35 + n**4/7 - 4*n**3/21 + 146. Factor s(i).
-4*i**2*(i - 1)**2*(i + 1)/7
Factor 25*z**4 - 201*z**2 - 5 - 156*z**3 + 81*z**2 + 5 - 134*z**3.
5*z**2*(z - 12)*(5*z + 2)
Let m = -5994 - -11991/2. Solve 0 + m*n**2 - 3/2*n**3 + 0*n = 0 for n.
0, 1
Let l(u) be the second derivative of 9/8*u**2 + 7/48*u**4 + 8*u + 1/80*u**5 + 0 + 5/8*u**3. Let l(z) = 0. Calculate z.
-3, -1
Let i(d) be the first derivative of d**4/2 - 42*d**3 + 1023*d**2 - 1922*d - 96. Suppose i(u) = 0. Calculate u.
1, 31
Factor 2*m**2 + 13*m + 0*m + 0 - 30 + 2*m**2 - 3*m**2.
(m - 2)*(m + 15)
Let d(n) be the second derivative of -n**8/2240 + n**7/280 - n**5/10 - 7*n**4/12 + 13*n. Let b(w) be the third derivative of d(w). Determine v so that b(v) = 0.
-1, 2
Let v(k) be the second derivative of -5*k**7/21 + 7*k**6/15 + 4*k**5/5 - 2*k**4/3 + 94*k. Find o, given that v(o) = 0.
-1, 0, 2/5, 2
Let b = 0 + 3. Let z be 3 - (1 + 2)/b. Factor 8 + 2*x**z + 2*x**4 - x**2 - 5*x**2 - 6.
2*(x - 1)**2*(x + 1)**2
Let m(z) = 7*z**3 - 97*z**2 + 349*z - 333. Let p(s) = -8*s**3 + 96*s**2 - 348*s + 332. Let h(g) = -4*m(g) - 3*p(g). Factor h(b).
-4*(b - 21)*(b - 2)**2
Factor -1 + 44*b**3 + 116*b - 191*b**2 + 28*b**4 - 12*b**4 + 35*b**2 - 19.
4*(b - 1)**2*(b + 5)*(4*b - 1)
Let x(k) be the second derivative of -k**4/20 - 3*k**3/10 - 3*k**2/5 + 78*k. Factor x(l).
-3*(l + 1)*(l + 2)/5
Let q be (3/7)/(26/91). Suppose 0 = 7*v - 2*v. Let -3/4*a**5 - q*a**3 + 0*a + v*a**2 + 9/4*a**4 + 0 = 0. Calculate a.
0, 1, 2
What is b in -1300*b + 8678*b**2 + 29 + 12447*b**2 - 9 = 0?
2/65
What is y in 16/5 - 4/5*y - 2/5*y**2 = 0?
-4, 2
Let y = 161 - 159. Factor o + o - 7*o - 3*o**2 + 3*o**3 + 2 - o**y.
(o - 2)*(o + 1)*(3*o - 1)
Let m be (1521/(-36))/(-13) + 9/12 + -1. What is j in 2/3 + 8/3*j**m - 8/3*j - 7/6*j**4 + 1/2*j**2 = 0?
-1, 2/7, 1, 2
Suppose j - 16 = -3*j. Determine p so that 3*p**4 - p - 164*p**3 + 6 + j*p + 161*p**3 - 9*p**2 = 0.
-1, 1, 2
Let l be (-21)/28*(-40)/6. Suppose -w - 1 = 4*x - 0, x = -5*w - l. What is r in -1/3*r + 1/3*r**2 + x = 0?
0, 1
Factor 2*c**3 + 16*c**2 - 4*c + 15 - 19 - 12 + 2*c**3.
4*(c - 1)*(c + 1)*(c + 4)
Suppose -x = -2*w + 80, 4*x - 76 = -3*w + 44. Let v be (4/25)/(0 + 16/w). Factor 2/5 + 6/5*m**2 - 6/5*m - v*m**3.
-2*(m - 1)**3/5
Let i be (-14 + 7)/14*17/(119/(-28)). Factor 56/13*c + 10/13*c**3 - 56/13*c**i + 32/13.
2*(c - 4)*(c - 2)*(5*c + 2)/13
Suppose 2*s = -7*s + 18. Factor 3 - 6 + 3*a**s - 13*a - 7*a**2.
-(a + 3)*(4*a + 1)
Suppose 13035*m**3 - 11580*m**2 - 240 + 1847*m + 1711*m - 963*m - 4235*m**4 + 425*m = 0. What is m?
2/11, 1, 12/7
Let p = -3515 + 3517. Factor -3/2*z + 3/2*z**p - 3.
3*(z - 2)*(z + 1)/2
Suppose -15 = 5*j, 5*m - 3*j = -2 - 64. Let w be ((270/(-12))/m)/(3/4). Factor -4/5*s**w + 12/5*s - 8/5.
-4*(s - 2)*(s - 1)/5
Let p(w) be the second derivative of -w**8/112 + w**6/10 + w**5/10 - 3*w**4/8 - w**3 + 15*w**2/2 - 4*w. Let v(i) be the first derivative of p(i). Factor v(k).
-3*(k - 2)*(k - 1)*(k + 1)**3
Let s(r) be the first derivative of 46*r**3/3 + 90*r**2 - 16*r - 106. Factor s(p).
2*(p + 4)*(23*p - 2)
Let k(z) be the first derivative of 2*z**3/15 - z**2/5 - 4*z/5 - 20. Solve k(p) = 0 for p.
-1, 2
Factor o**4 + 395*o**3 + 621*o + 2*o**4 + 455*o**3 + 87*o**2 + 486 - 895*o**3.
3*(o - 9)**2*(o + 1)*(o + 2)
Let t = 0 - -2. Factor 4 - 4*i**4 - 3*i - 8 - 6*i**t - 4*i**5 + 8*i**3 - i + 14*i**2.
-4*(i - 1)**2*(i + 1)**3
Let t(q) be the first derivative of 5*q**3 - 10 + 5/4*q**4 - 15*q - 5/2*q**2. Find b such that t(b) = 0.
-3, -1, 1
Let v be (-5)/2*19/(-38). Factor -1/4*f**2 - f + v.
-(f - 1)*(f + 5)/4
Let f = -762 - -767. Let u(z) be the third derivative of 1/120*z**f + 1/12*z**4 - 7*z**2 + 1/3*z**3 + 0 + 0*z. Find m, given that u(m) = 0.
-2
Let y be (2367/567 + 6/54)/(4/7). Solve 0 + y*r**3 + 2*r**2 - 5/2*r**5 - 2*r + r**4 = 0 for r.
-1, 0, 2/5, 2
Let p be (-1 + -2)/(204/(-16)). Factor 0 + 2/17*l**2 + p*l.
2*l*(l + 2)/17
Factor 2/5*r**3 + 148176/5 + 10584/5*r + 252/5*r**2.
2*(r + 42)**3/5
Let x(i) be the second derivative of i**4/60 + 11*i**3/15 + 21*i**2/10 + 18*i + 1. Factor x(g).
(g + 1)*(g + 21)/5
Let c(b) be the third derivative of -b**7/105 + b**5/10 + b**4/6 - 2*b**2 + 1. Factor c(w).
-2*w*(w - 2)*(w + 1)**2
Let q(h) be the second derivative of -27*h + 10/3*h**3 - 25/12*h**4 + 15/2*h**2 - 1/2*h**5 + 0. Solve q(c) = 0 for c.
-3, -1/2, 1
Let l(i) = -i**2 - 117*i + 2280. Let d be l(-134). Suppose 4/9*x**4 + 0*x + 2/3*x**3 + 0 + 2/9*x**d = 0. Calculate x.
-1, -1/2, 0
Let a(j) = -2*j**3 + 3*j**2 + 2*j + 1. Let k be a(-1). Suppose k*t + 0*t = 0. Solve 0*h - 2/7*h**2 + 2/7*h**4 + t - 2/7*h**3 + 2/7*h**5 = 0 for h.
-1, 0, 1
Let m(x) = -x**3 - x - 1. Let p(w) = 10*w**3 + 585*w**2 + 17405*w + 16825. Let a(i) = -5*m(i) - p(i). Factor a(t).
-5*(t + 1)*(t + 58)**2
Let u(s) be the third derivative of s**8/6720 + s**7/315 - s**6/60 + 5*s**5/12 + 11*s**2. Let z(a) be the third derivative of u(a). Factor z(h).
(h + 6)*(3*h - 2)
Let l(g) = 7*g**2 + 83*g - 10. Let a be l(-12). Factor p + 1/2*p**a + 0.
p*(p + 2)/2
Let w(t) = 4*t**3 + 43*t**2 + 42*t + 24. Let j(k) = -k**3 - 10*k**2 - k + 1. Let g(d) = -6*j(d) - 2*w(d). Factor g(i).
-2*(i + 1)*(i + 3)*(i + 9)
Factor 0*c + 144/5*c**4 + 2*c**5 + 196/5*c**2 + 546/5*c**3 + 0.
2*c**2*(c + 7)**2*(5*c + 2)/5
Let j(i) be the second derivative of -5/6*i**3 + 8/3*i**6 + 2*i + 13 - 2*i**5 - 35/12*i**4 + 0*i**2. Factor j(c).
5*c*(c - 1)*(4*c + 1)**2
Let l = 5231 + -20919/4. Factor -9/4*h**3 - 4*h**2 + 1/2 - l*h.
-(h + 1)**2*(9*h - 2)/4
Factor -30 + 0*q**4 - q**4 + 6*q**3 + 51 + 3*q**2 + 9*q**2 - 38*q.
-(q - 7)*(q - 1)**2*(q + 3)
Factor -137388/7 - 3/7*n**2 + 1284/7*n.
-3*(n - 214)**2/7
Let p(l) be the second derivative of l**10/60480 - l**8/4480 - l**7/2520 + 29*l**4/12 - 24*l. Let m(a) be the third derivative of p(a). Factor m(b).
b**2*(b - 2)*(b + 1)**2/2
Let n(l) = -4*l + 47. Let b be n(11). Let u(k) be the first derivative of -4 - 4*k - b*k**2 - 2/3*k**3. Suppose u(q) = 0. What is q?
-2, -1
Let c(r) be the second derivative of 11*r**6/15 - r**5/5 - 11*r**4/2 + 28*r**3/3 - 4*r**2 - 365*r. What is x in c(x) = 0?
-2, 2/11, 1
Let i(y) be the first derivative of -3/28*y**4 - 1/21*y**3 + 0*y + 0*y**2 + 10. Suppose i(x) = 0. What is x?
-1/3, 0
Factor -8/3*x**2 - 2*x**3 + 8*x + 0 + 2/3*x**4.
2*x*(x - 3)*(x - 2)*(x + 2)/3
Let w(j) be the first derivative of -j**2 - 8*j + 