 = 0 for p.
-1, 1
Suppose -59/2*p**2 - 37/2*p - 3 + 9/2*p**4 - 3/2*p**3 = 0. Calculate p.
-2, -1/3, 3
Let p = -65299/7 - -9176. Let l = p + 153. Factor 1/7*c**2 - 4/7*c + l.
(c - 2)**2/7
Let i(x) be the third derivative of 0*x + 3/40*x**6 + 1/14*x**7 + 0 + 0*x**4 - 9/20*x**5 + 1/112*x**8 + 0*x**3 + 8*x**2. Find h such that i(h) = 0.
-3, 0, 1
Let q(n) = -n**2 - 21*n - 26. Let m be q(-16). Let -v**2 - 10 - m - 16*v + 0 = 0. Calculate v.
-8
Determine m so that -91*m**2 - 33*m + 319*m**2 - 29*m**4 - 3*m**5 - 39*m - 26*m**3 = 0.
-6, 0, 1/3, 2
Let l(w) be the second derivative of w**5/20 - 5*w**4/12 + 3*w**3/2 - 10*w**2 + 4*w - 4. Let h be l(4). Find a, given that h - 15/4*a + 5/4*a**2 = 0.
0, 3
Let g(p) be the first derivative of -5*p**4/4 - 10*p**3 - 55*p**2/2 - 30*p - 405. Factor g(t).
-5*(t + 1)*(t + 2)*(t + 3)
Let a(w) be the first derivative of -11/21*w**4 + 10/21*w**3 + 14 + 4/7*w**2 - 2/5*w**5 - 8/21*w. Find n such that a(n) = 0.
-1, 2/7, 2/3
Solve -6*r + 3/2*r**3 - 45*r**2 + 9*r**5 + 12 + 57/2*r**4 = 0 for r.
-2, -2/3, 1/2, 1
Let h(b) be the third derivative of -27*b**8/28 + 102*b**7/35 - 7*b**6/30 - 137*b**5/15 + 44*b**4/3 - 32*b**3/3 - 49*b**2 - 2*b. Suppose h(f) = 0. Calculate f.
-1, 4/9, 1
Let i(o) be the third derivative of -o**8/672 - o**7/105 + o**6/16 + 7*o**5/60 - 7*o**4/12 - 2*o**3 + 3*o**2 - 37. Find a, given that i(a) = 0.
-6, -1, 2
Factor 2*p**3 - 4*p**5 - 30*p + 7*p**4 - 17*p**3 - 55*p**2 + 9*p**5 + 8*p**4.
5*p*(p - 2)*(p + 1)**2*(p + 3)
Let 115/2*h**3 + 0*h**2 + 5/2*h**5 + 0 + 0*h - 60*h**4 = 0. What is h?
0, 1, 23
Let w(r) be the second derivative of 0*r**6 - 8*r + 1/42*r**7 - 1/20*r**5 + 0*r**4 + 0*r**2 + 0*r**3 + 0. Factor w(f).
f**3*(f - 1)*(f + 1)
Let h be 2/(-2 - 55/(-30)). Let z be (-8)/h - 26/(-24). Factor -1/4 + q**3 + z*q**2 + 1/2*q.
(q + 1)**2*(4*q - 1)/4
Let b(k) be the first derivative of k**4/16 - 7*k**3/3 - 59*k**2/8 - 15*k/2 - 138. Factor b(s).
(s - 30)*(s + 1)**2/4
Suppose -5*m - 24 + 91 = 3*y, 3*y + 4*m - 65 = 0. Let g = 22 - y. Suppose -5 - 2*j**g + j**3 - 12*j + 1 - 12*j**2 - 3*j**3 = 0. What is j?
-1
Let x be ((-24)/9 + 0 + 2)*-3. Let j be x/(-3) - ((-12)/(-9) + -2). Determine u so that 0 + j*u + 2/3*u**2 + 4/3*u**3 = 0.
-1/2, 0
Let r = 15 - -7. What is y in -10*y**2 - 3*y + 3*y**4 - 9*y**3 + r*y**2 - 3*y**2 = 0?
0, 1
Let o(v) = 5 + 1 - v**2 - 8*v - 5. Let n be o(-7). Find m, given that 8 + 11*m - 7*m + m**3 - n*m**2 - 4*m**3 - m**3 = 0.
-2, -1, 1
Let z = 17661 - 17658. Find f such that 2/11*f**z + 0 + 0*f**2 - 2/11*f = 0.
-1, 0, 1
Let o be (966/690)/(21/5). Determine w so that 2/3*w**4 - o*w**5 - 4/3*w**2 - 1/3*w + 2/3 + 2/3*w**3 = 0.
-1, 1, 2
Factor 2*n**2 + 6*n**2 + 20*n - 15*n - 3*n**2.
5*n*(n + 1)
Let j(x) be the second derivative of -1/75*x**6 + 0*x**2 + 0*x**4 + 0*x**5 + 0*x**3 + 0 + x. Factor j(c).
-2*c**4/5
Let t(q) = -2*q**3 - 2*q**2 + q - 2. Let a be t(-2). Find n such that 4*n - a*n**2 + 8*n**2 + n**2 - n**2 = 0.
-1, 0
Let y(t) be the second derivative of t**4/9 - 52*t**3/9 + 32*t**2 + 262*t + 1. Suppose y(h) = 0. Calculate h.
2, 24
Let u be ((-6)/10)/((-2)/10). Suppose x**5 - 8*x**2 + 2*x**3 - 8*x + 4*x**u + x**5 + 8*x**4 + 0*x**5 = 0. Calculate x.
-2, -1, 0, 1
Let x = 10179 - 10175. Factor 1/3*y**x - 5/3 - 2*y + 2*y**3 + 4/3*y**2.
(y - 1)*(y + 1)**2*(y + 5)/3
Let p(j) be the third derivative of j**6/15 + 11*j**5/15 + 5*j**4/2 + j**2 - 442. Factor p(g).
4*g*(g + 3)*(2*g + 5)
Suppose 3*n + 0*n + 2*r = 86, 0 = 3*n - r - 101. Suppose n = 4*a + 5*c, -10 = -a - c - 3. Find x, given that 0*x + 12/5 + 54/5*x**a - 3*x**4 - 51/5*x**2 = 0.
-2/5, 1, 2
Let u(a) be the third derivative of -a**7/315 - 22*a**6/45 - 484*a**5/15 - 10648*a**4/9 - 234256*a**3/9 - 4*a**2 - 30. Let u(n) = 0. Calculate n.
-22
Let n = 34/9 + -22/9. Let y(x) be the third derivative of 0*x + 2/5*x**5 + 0 + 1/210*x**7 + 8/3*x**3 - 1/15*x**6 + 3*x**2 - n*x**4. Find a, given that y(a) = 0.
2
Let j = -121 + 124. Let l be (-2)/j + (-440)/(-462). Find b, given that -l*b**2 + 2/7 + 0*b = 0.
-1, 1
Solve 3*s**5 + 10*s**2 + 24 + 258*s + 75*s**3 + 104*s**2 + 24*s**4 - 174*s = 0.
-2, -1
Let p = 23 + -21. Suppose p*u = 6 + 6. Find r, given that 2 + 2*r**4 + u - r**4 + 13*r**2 + 12*r + 6*r**3 - 4 = 0.
-2, -1
Find q such that 117*q**2 - 2*q**3 - 81*q**2 - 59*q - 79*q - 198 + 22 = 0.
-1, 8, 11
Let o be ((-32)/6)/(12/(-90)). Let n be 6/o + (-11)/(-44). Factor -n*y**2 + 8/5 - 6/5*y.
-2*(y - 1)*(y + 4)/5
Let c = -1 - -21. Factor 7*i**2 - c*i**2 - 7*i**2 - 5*i**4 - 20*i**3.
-5*i**2*(i + 2)**2
Let t be (1 - 2)/(11/(-44)). Suppose -t*n + 0 = 16, 5*x = -4*n - 6. Factor -2/5 + 1/5*o**x + 1/5*o.
(o - 1)*(o + 2)/5
Let o(v) be the third derivative of -v**6/120 - v**5/20 - 5*v**4/24 - 2*v**3/3 + 11*v**2. Let p be o(-2). Factor -3*l**2 + l**2 - 10 + 2*l**p - 5*l + 5*l**2.
5*(l - 2)*(l + 1)
Let y(c) be the first derivative of 5*c**6/12 - 35*c**4/8 - 5*c**3 + 56. Determine m, given that y(m) = 0.
-2, -1, 0, 3
Let x(g) = -4*g**3 - 1. Suppose 6*d + 1 = 5*d. Let f be x(d). Let -5*t**2 + 2*t**2 + 3*t**2 - 3*t**5 + f*t**3 = 0. What is t?
-1, 0, 1
Suppose -3*f + 15 = 4*a - 12, 3 = a. Factor 15*z**2 + 4*z**4 - 33*z**2 + 4*z**f + 14*z**2 - 4*z**3.
4*z**2*(z - 1)*(z + 1)**2
Let b(l) be the second derivative of l**4/30 + 7*l**3/5 - 46*l**2/5 - 438*l. Let b(o) = 0. Calculate o.
-23, 2
Let h(r) = -8*r**4 + 40*r**3 - 291*r**2 + 899*r - 1021. Let j(u) = 22*u**4 - 120*u**3 + 872*u**2 - 2696*u + 3064. Let q(g) = 8*h(g) + 3*j(g). Factor q(w).
2*(w - 8)*(w - 4)**3
Let n(o) be the first derivative of 50/3*o**3 - 1/6*o**6 + 14/5*o**5 - 15*o**4 + 0*o + 9 + 125/2*o**2. Factor n(x).
-x*(x - 5)**3*(x + 1)
Let j(s) be the second derivative of 0*s**5 - 1/98*s**7 - 1/35*s**6 + 0*s**2 + 1/14*s**3 + 0 + 1/14*s**4 + 15*s. Factor j(c).
-3*c*(c - 1)*(c + 1)**3/7
Let i(m) be the first derivative of m**6/30 + m**5/5 - m**4/6 - 2*m**3 + 9*m**2 - 10. Let k(q) be the second derivative of i(q). Suppose k(u) = 0. What is u?
-3, -1, 1
Let z(h) be the first derivative of 2/3*h**2 - 4/3*h - 1/12*h**4 + 1/9*h**3 + 7. Factor z(b).
-(b - 2)*(b - 1)*(b + 2)/3
Let p(g) be the second derivative of g**4/60 + 34*g**3/15 + 15*g. Factor p(a).
a*(a + 68)/5
Let g(l) be the second derivative of 0 - 10/3*l**4 - 5/42*l**7 + 3/2*l**5 + 17*l + 5/2*l**3 + 0*l**2 + 0*l**6. Factor g(d).
-5*d*(d - 1)**3*(d + 3)
Let n be -7 + (-293)/(-39) + (-4)/(-26). Let x(v) be the first derivative of -4/3*v**2 + n*v - 5 + 10/9*v**3 - 1/3*v**4. Factor x(d).
-2*(d - 1)**2*(2*d - 1)/3
Let f(g) = 4*g**2 - 200*g + 335. Let c(y) = 2*y**2 - 98*y + 167. Let q(w) = 14*c(w) - 6*f(w). Factor q(i).
4*(i - 41)*(i - 2)
Let z(y) be the second derivative of -y**5/50 - y**4/30 + 2*y**3/5 - 36*y. Suppose z(i) = 0. What is i?
-3, 0, 2
Let 28/9*y**3 - 28/9*y - 10/3 - 2/9*y**4 + 32/9*y**2 = 0. Calculate y.
-1, 1, 15
Let v(r) be the first derivative of -4/3*r**3 - 1/6*r**4 + 0*r - 1 + 1/2*r**2 + 1/15*r**5. Let n(h) be the second derivative of v(h). Factor n(t).
4*(t - 2)*(t + 1)
Suppose -100*o - 95*o**4 - 465*o**2 + 182*o**3 + 19 - 375*o**5 + 953*o**3 + 1 - 9*o - 111*o = 0. What is o?
-2, -1/3, 2/25, 1
Factor 0 + 4*p**4 - 32/3*p**3 - 8/3*p + 28/3*p**2.
4*p*(p - 1)**2*(3*p - 2)/3
Let c(i) = -44*i + 27. Let f be c(8). Let d be -1 + (f/35)/(-5). Factor 8/7*g**2 + d*g**3 - 4/7 - 2/7*g.
2*(g + 1)**2*(3*g - 2)/7
Find u, given that -27/5*u**2 + 6*u**3 - 6/5 - 63/5*u = 0.
-1, -1/10, 2
Suppose -5*r - 10 = -4*o, -o - 7 = 2*r - 2*o. Let h be (-16)/10 + r/(-3). Factor 0 - 32/5*y**3 - 16/5*y**2 - h*y.
-2*y*(4*y + 1)**2/5
Let s be 2 - 0 - (3 + 0 - 3). Let r be (-88)/(-66) + 4/s. Solve -r*z + 4/3 + 8/3*z**2 - 2/3*z**3 = 0 for z.
1, 2
Suppose -45*b = 40*b - 255. Let h(j) be the first derivative of -9/16*j**4 + 10 + 0*j - 3/2*j**2 - 2*j**b. Factor h(l).
-3*l*(l + 2)*(3*l + 2)/4
Factor 0 + 2/17*y**4 - 4/17*y + 0*y**3 - 6/17*y**2.
2*y*(y - 2)*(y + 1)**2/17
Factor -255/4*i + 5/4*i**3 + 0 + 125/2*i**2.
5*i*(i - 1)*(i + 51)/4
Let z(m) be the first derivative of -m**5/480 - m**4/96 + 9*m**2/2 - 6. Let i(t) be the second derivative of z(t). Factor i(c).
-c*(c + 2)/8
Let q = -2 + 4. Solve -2*a**2 + q*a**3 + 13 - a - 11 - a = 0 for a.
-1, 1
Let d(v) be the third derivative of -v**5/3 + 79*v**4/6 + 32*v**3/3 - 248*v**2. Factor d(q).
-4*(q - 16)*(5*q + 1)
Suppose -3*g**2 - 3*g**3 - 4