0/3*q - 25/3*q**2.
-q*(q + 5)*(q + 20)/3
Suppose -630*v + 516*v + 456 = 0. Find h such that 0 + 28/13*h + 46/13*h**2 + 74/13*h**v - 162/13*h**3 + 14/13*h**5 = 0.
-7, -2/7, 0, 1
Factor -55000 + 200*r - 2/11*r**2.
-2*(r - 550)**2/11
Let q(n) be the third derivative of n**7/840 + n**6/15 - n**5/240 - n**4/3 - 5377*n**2. Factor q(m).
m*(m - 1)*(m + 1)*(m + 32)/4
Let v(h) be the second derivative of h**4/8 - 11*h**3/4 - 324*h**2 + h - 259. Factor v(b).
3*(b - 27)*(b + 16)/2
Let w(l) be the first derivative of 0*l**3 + 0*l**5 - 5/6*l**6 + 0*l - 10*l**2 + 25/4*l**4 - 74. What is z in w(z) = 0?
-2, -1, 0, 1, 2
Let h = -28747 + 28749. Solve 2/15*g**h + 2/15*g - 4/15 = 0.
-2, 1
Let y(a) = 4*a**3 + 2842*a**2 - 2856. Let j(o) = 16*o**3 + 11361*o**2 + 2*o - 11424. Let z(m) = -2*j(m) + 9*y(m). Factor z(h).
4*(h - 1)*(h + 1)*(h + 714)
Factor 413*w - 4*w**2 - 110*w + 501*w + 808.
-4*(w - 202)*(w + 1)
Let h(t) = -27 - 203 + 9 + 22*t + 53*t. Let x be h(3). Factor -1/2*p**x + 0*p**2 + 1/2 + p**3 - p.
-(p - 1)**3*(p + 1)/2
Let x(s) = -66*s - 5. Let f be x(-1). Let -17*u**2 + 9 + u**3 + f + 11 - 32*u + 95*u = 0. Calculate u.
-1, 9
Let m = -11 + -4. Let j(q) = -337*q + 678*q + 1 - 338*q - 1. Let i(n) = -n**2 - 26*n + 12. Let s(y) = m*j(y) - 3*i(y). Suppose s(v) = 0. What is v?
-12, 1
Solve -221*m**3 - 201*m**3 + 16*m + 406*m**3 + 2*m**2 - 2*m**4 = 0 for m.
-8, -1, 0, 1
Let x be (-36690)/(4/2*(-8)/8). Let -18345 - 2*k - 2*k**2 + x = 0. Calculate k.
-1, 0
Let d(i) be the third derivative of -3*i**2 - 1/30*i**5 + 14*i + 13/80*i**4 + 1/350*i**7 - 1/3360*i**8 - 1/200*i**6 + 0 - 3/10*i**3. Let d(u) = 0. What is u?
-2, 1, 3
Let n(q) be the first derivative of 6*q - 25/2*q**2 + 5*q**3 - 5 - 5/12*q**4. Let y(l) be the first derivative of n(l). Find g such that y(g) = 0.
1, 5
Let s(f) = f**2 + 10*f - 107. Let l be s(-17). Determine v, given that 8*v + l*v**3 + 2*v**4 + 2*v**2 - 13*v**2 + 29*v**2 = 0.
-4, -1, 0
Let r(b) be the first derivative of 15*b + 5/3*b**3 + 10*b**2 + 43. Factor r(s).
5*(s + 1)*(s + 3)
What is a in -a**3 - 12*a**5 - 23*a**5 + 15*a**4 - 42*a**5 + 27*a**5 = 0?
0, 1/10, 1/5
Let o(d) be the second derivative of 8/3*d**2 - 4/9*d**4 - 233*d + 1/90*d**5 - 1/27*d**3 + 0. Find x, given that o(x) = 0.
-1, 1, 24
What is s in -3*s**3 + 222*s**2 - 111 + 3/2*s**5 - 111*s**4 + 3/2*s = 0?
-1, 1, 74
Let s(j) be the second derivative of 7/3*j**3 + 0*j**2 - 1/120*j**5 - 1/1080*j**6 + 0 - 3*j - 1/36*j**4. Let m(o) be the second derivative of s(o). Factor m(x).
-(x + 1)*(x + 2)/3
Let z = 114 - 112. Solve 162*s**2 + s + 4 - 163*s**2 + z = 0 for s.
-2, 3
Let g(s) be the first derivative of 18 - 5/3*s**3 + 0*s + 10*s**2. Determine r so that g(r) = 0.
0, 4
Let q(s) be the third derivative of s**7/70 - 7*s**6/20 + 11*s**5/5 - 5*s**4 + 1997*s**2. What is n in q(n) = 0?
0, 2, 10
Suppose -3*m + 33 = -2*y - 8, -m = -5*y - 31. Suppose -5*f + f + m = -3*d, -11 = -5*f + d. Suppose 2 - 4*o + 1/8*o**4 - o**3 + 3*o**f = 0. Calculate o.
2
Let r be (-570)/4*23/69. Let v = r + 49. Let -3/4*c**4 - v + 3/4*c**3 - 3/4*c + 9/4*c**2 = 0. What is c?
-1, 1, 2
Let d = -314190 + 314192. Factor -q + 1 + 1/4*q**d.
(q - 2)**2/4
Let i be 18/(-81)*-24 + 4100/7995. Factor -i*o + 2/13*o**2 + 722/13.
2*(o - 19)**2/13
Let h(m) = -13*m**2 - 41*m - 1. Let q be h(-3). Suppose -q*i + 203 = 193. Determine a, given that 1/6*a**i + 4/3 - 3/2*a = 0.
1, 8
Suppose x - 16 = -5*t - 5, 2*t - x - 10 = 0. Factor 4*n**4 + 83*n**2 - t*n**3 - n**4 - 9*n - 98*n**2.
3*n*(n - 3)*(n + 1)**2
Factor -12 + 278/17*w - 76/17*w**2 + 2/17*w**3.
2*(w - 34)*(w - 3)*(w - 1)/17
Let l(j) = j**2 + 22*j + 96. Let t(v) = -v**2 - 23*v - 94. Let c(b) = -3*l(b) - 4*t(b). Suppose c(r) = 0. What is r?
-22, -4
Factor 52*l**2 + 57*l**2 + 61*l**2 + 60 - l - 165*l**2 - 34*l.
5*(l - 4)*(l - 3)
Let u(d) be the first derivative of -d**3/27 - 971*d**2/18 + 108*d + 12876. Factor u(q).
-(q - 1)*(q + 972)/9
Let p(y) be the first derivative of -3*y**4/4 + 99*y**3 - 573*y**2/2 - 873*y - 98. Solve p(u) = 0.
-1, 3, 97
Let v(u) be the first derivative of u**3/6 + 61*u**2 - 245*u/2 + 5086. Let v(k) = 0. What is k?
-245, 1
Let i be ((-2)/4 - 0)*-6. Let x(d) = 6*d**3 + 43*d**2 + 2*d - 30. Let h be x(-7). Factor 18*z**2 - 23*z**4 - 4*z**2 - 40*z + 6*z**2 + h*z**5 + 30*z**i - 2*z**4.
5*z*(z - 2)**3*(z + 1)
Suppose 3*q = -4*n + 29, 2*n + 5 = -19*q + 24*q. Factor 2/7*s**n + 162/7 + 60/7*s**3 + 450/7*s + 380/7*s**2 - 30/7*s**4.
2*(s - 9)**2*(s + 1)**3/7
Let w(f) be the third derivative of f**7/5460 - f**5/65 + 4*f**4/39 - 5*f**3/2 + 18*f**2. Let v(c) be the first derivative of w(c). Find a, given that v(a) = 0.
-4, 2
Find h such that 78/7*h**2 - 3/7*h**3 - 96 + 597/7*h = 0.
-7, 1, 32
Let i be (110/165)/(2/9). Suppose -20*m**2 - 28 + 23*m + 11*m + 18*m - 4*m**i = 0. What is m?
-7, 1
Let r(v) be the third derivative of -v**5/60 - v**3/6 + 32*v**2. Let c(l) = 4*l**2 - 8*l + 2. Let h(z) = c(z) + 2*r(z). Factor h(k).
2*k*(k - 4)
Find x, given that -1/2*x**3 - 117 - 18*x**2 - 269/2*x = 0.
-26, -9, -1
Let k(z) be the second derivative of -z**6/30 + 2*z**5/5 - 17*z**4/12 - z**3/3 + 12*z**2 - 610*z - 2. Suppose k(a) = 0. Calculate a.
-1, 2, 3, 4
Let j(u) be the third derivative of 0 + 0*u - 32*u**2 + 5/12*u**4 - 2/33*u**3 - 49/110*u**5. Solve j(a) = 0 for a.
2/49, 1/3
Factor 683 + 130*b + 530 - 2*b**2 - 361.
-2*(b - 71)*(b + 6)
Determine i, given that 98/3 - 194/3*i + 94/3*i**2 + 2/3*i**3 = 0.
-49, 1
Let u = 434666/279729 + 52/31081. Let -1/9*c**2 - u*c + 0 = 0. Calculate c.
-14, 0
Let a(r) be the second derivative of -53*r - 1/80*r**5 + 0*r**2 - 7/24*r**4 + 0*r**3 + 0. Factor a(c).
-c**2*(c + 14)/4
Let f(x) be the second derivative of x**6/75 + 9*x**5/50 - 7*x**4 + 40*x**3/3 + 5054*x + 1. Let f(t) = 0. What is t?
-20, 0, 1, 10
Let k(c) be the first derivative of -c**3 + 45*c**2/2 + 48*c - 1286. Factor k(g).
-3*(g - 16)*(g + 1)
Let y = 31 + -29. Factor -3*o**4 - 3*o**2 - 2*o**2 - 4*o**y + o**2 - 25*o**3.
-o**2*(o + 8)*(3*o + 1)
Let t be -4 - 0 - (-18592)/2905. Factor 0*h - 3*h**4 - 3/5*h**5 - 24/5*h**3 - t*h**2 + 0.
-3*h**2*(h + 1)*(h + 2)**2/5
Suppose 591/2*f + 2367/2*f**2 + 9/2*f**4 + 0 + 1785/2*f**3 = 0. Calculate f.
-197, -1, -1/3, 0
Factor 56659*o + 1232*o**2 - 165240*o - 2*o**3 + 3678 - 3678 - 81147*o.
-2*o*(o - 308)**2
Factor -12*s**4 + 0 + 8*s - 76/3*s**2 + 4/3*s**5 + 28*s**3.
4*s*(s - 6)*(s - 1)**3/3
Let -141/7*v + 9/7*v**3 + 1/7*v**4 - 36 - 1/7*v**2 = 0. Calculate v.
-7, -3, 4
Let o(x) be the first derivative of -2*x**3/27 - 2*x**2 + 54*x + 483. Determine h, given that o(h) = 0.
-27, 9
Suppose -53*p = -50*p - 6. Find y, given that -40 - y**2 + 5*y**p - 9*y + 3*y + 18*y = 0.
-5, 2
Let a(o) = 2*o**3 - 7*o**2 - 6*o - 6. Let f(b) = b**3 + 3*b + 1. Let t be ((-8)/(-18))/(-2) + 203/63. Let p(d) = t*f(d) - a(d). Factor p(m).
(m + 1)*(m + 3)**2
Suppose 1/5*x**4 + 3*x**3 - 4/5*x + 36/5*x**2 - 48/5 = 0. What is x?
-12, -2, 1
Let k be 520608/2016 + -60 - 11*-1. Find m, given that k - 312/7*m**2 - 2/21*m**4 + 3380/21*m + 76/21*m**3 = 0.
-1, 13
Let y = 4248 - 101927/24. Let r(u) be the third derivative of 0 + y*u**3 - 5/48*u**5 + 1/96*u**6 - 5/96*u**4 + 4*u**2 + 0*u. Factor r(p).
5*(p - 5)*(p - 1)*(p + 1)/4
Let p be 6323/4 + 1 - 23/(-92). Suppose -7*u + p = 1582. Determine t so that u*t + 4/9*t**3 + 0 + 2*t**4 + 0*t**2 + 8/9*t**5 = 0.
-2, -1/4, 0
Let u be (-33500)/8040 + 1*33/6. Let -u - 20*i - 63*i**2 = 0. What is i?
-2/9, -2/21
Suppose -140*c = -545*c + 810. Let -l**5 - 2/5*l**4 - 2/5 + c*l**3 + 4/5*l**2 - l = 0. What is l?
-1, -2/5, 1
Factor -3818116/5 + 7816/5*o - 4/5*o**2.
-4*(o - 977)**2/5
Suppose -2413*f = -464*f. Suppose -2/11*r + 4/11*r**2 + f - 2/11*r**3 = 0. Calculate r.
0, 1
Let a(j) = -j**2 + j - 1. Let q be 2/8*(-13 - -65). Let h(r) = -q*r + 9 + 9*r + 15*r**3 + 35*r - 5*r**3 + 35*r**2. Let w(u) = -a(u) - h(u). Factor w(g).
-2*(g + 1)*(g + 2)*(5*g + 2)
Let k(u) be the third derivative of -51/20*u**5 + 18*u + 0 - u**2 - 49/8*u**4 + u**3. Factor k(i).
-3*(i + 1)*(51*i - 2)
Let l = -29/302 + 996/151. Factor l*n**2 + 9/2*n**4 - 15*n**3 + 10*n + 2.
(n - 2)**2*(3*n + 1)**2/2
Suppose -12*a + 253 = 135*a + 107*a - 255. Determine t so that 48/5 + 1/5*t**3 - t**a - 8/5*t = 0.
-3, 4
Let o(s) be the first derivative of -120409*s**3/15 - 4164*s**2/5 - 144*s/5 + 13181. Factor o(c).