 + 2*p. Suppose p*l + 0 + 5/6*l**2 - 5/6*l**3 = 0. Calculate l.
0, 1
Suppose 11*y - 2715 = 6*y. Let q = 797 - y. Let 0*r**3 - q*r**2 - 3*r**3 - 3*r + 0*r**3 + 248*r**2 = 0. What is r?
-1, 0
Let s(u) be the second derivative of u**6/4140 + 7*u**5/1380 - 13*u**3/6 + u**2 + 60*u. Let x(h) be the second derivative of s(h). Let x(r) = 0. What is r?
-7, 0
Let p(w) be the third derivative of 0 + 0*w - 1/420*w**6 + 1/84*w**4 + 17/210*w**5 + 134*w**2 - 17/21*w**3. Suppose p(k) = 0. Calculate k.
-1, 1, 17
What is i in -620*i + 891*i**3 + 149*i**2 + 245*i**4 + 229*i**3 - 794*i**2 - 100 = 0?
-5, -2/7, 1
Suppose -115*y = -120*y + 5940. Find b, given that 1664*b**3 - 43 - 70*b**4 - 379*b**4 - y*b**2 + 7 - 227*b**4 + 384*b - 148*b**2 = 0.
3/13, 1
Solve 1/4*l**3 + 5/4*l**5 + 81/2*l - 33/4*l**4 + 161/4*l**2 + 10 = 0.
-1, -2/5, 4, 5
Let r be 184/21436 - 1382/(-1864). Factor -r*k**2 + 12 - 9/2*k.
-3*(k - 2)*(k + 8)/4
Let z(q) be the third derivative of q**8/84 + 3*q**7/70 + q**6/40 - q**5/12 - q**4/8 + 283*q**2. Let z(p) = 0. Calculate p.
-1, 0, 3/4
Let u(a) be the third derivative of a**6/720 + 11*a**5/120 + 2*a**4 + 64*a**3/9 + 5440*a**2. Factor u(f).
(f + 1)*(f + 16)**2/6
Determine k, given that -3*k**4 - 20*k**3 - 13*k**3 + 0*k**4 + 6*k**3 + 27*k**2 + 3*k**5 = 0.
-3, 0, 1, 3
Let v = 3103/970 + 1/970. Let d be (-1460)/(-73) + ((-98)/(-5))/(-1). Find h such that -d*h + 8/5 - v*h**2 + 8/5*h**4 - 2/5*h**5 + 4/5*h**3 = 0.
-1, 1, 4
Let f(z) be the first derivative of -2*z**6/27 + 16*z**5/5 - 383*z**4/9 + 4976*z**3/27 + 256*z**2/3 - 5120*z/9 + 1903. Determine n so that f(n) = 0.
-1, 1, 8, 20
Let d be 6 + (-4)/(3 + -7). Suppose 35 = d*j + 7. Suppose 0 - 12/7*u**2 - 12/7*u**5 + 12/7*u**j + 9/7*u**3 + 3/7*u = 0. What is u?
-1, 0, 1/2, 1
Let d(v) be the first derivative of 0*v + 1/210*v**5 - 6 + 1/840*v**6 + 1/168*v**4 + 6*v**2 + 0*v**3. Let n(j) be the second derivative of d(j). Factor n(r).
r*(r + 1)**2/7
Let z(s) be the second derivative of -s**4/30 - 23*s**3/3 - 226*s**2/5 + 6*s - 67. Suppose z(g) = 0. What is g?
-113, -2
Factor 560*h**2 - 1800 - 238*h - 256*h**2 + 1148*h - 309*h**2.
-5*(h - 180)*(h - 2)
Factor -17*m + 133 - 138*m - 26*m**2 - 190*m + 6*m**2 + 137.
-5*(m + 18)*(4*m - 3)
Factor 394/3 + 2/3*u**2 - 132*u.
2*(u - 197)*(u - 1)/3
Let l = 325 - 320. Find z such that -l*z**3 - 1 + 561*z - 496*z - 60*z**2 + 1 = 0.
-13, 0, 1
Find p, given that 346*p + 599/2*p**3 + 36 - 342*p**4 + 911*p**2 - 81/2*p**5 = 0.
-9, -1, -2/9, 2
Let u(a) = -159*a**3 - 638*a**2 - 7*a + 11. Let b be u(-4). Factor 25/8*d + 65/8*d**2 + b*d**3 + 2*d**4 + 0.
d*(d + 1)*(4*d + 5)**2/8
Let i = 1929 + -1929. Let h(g) be the first derivative of -1/57*g**6 + 7 + 2/95*g**5 + i*g + 0*g**3 + 0*g**2 + 0*g**4. Factor h(f).
-2*f**4*(f - 1)/19
Let k(i) be the second derivative of -95*i**4/72 + 175*i**3/12 - 60*i**2 - 3452*i. Determine n so that k(n) = 0.
48/19, 3
Factor 2/3*v**3 - 56 - 14/3*v**2 - 184/3*v.
2*(v - 14)*(v + 1)*(v + 6)/3
Let a be (9 - 1656/192)/(140/64 - 2). Factor -2*u**a + 2/5*u**3 + 6/5*u + 0 + 2/5*u**4.
2*u*(u - 1)**2*(u + 3)/5
Let -480*r**2 + 448*r - 821*r**3 + 913*r**3 - 3*r**4 - r**4 + 881 + 143 = 0. What is r?
-1, 4, 16
Let j(h) be the first derivative of 2*h**3/15 - 136*h**2/5 - 274*h/5 - 6739. Factor j(d).
2*(d - 137)*(d + 1)/5
What is y in 0 + 12/7*y**4 + 129/7*y + 531/7*y**3 + 648/7*y**2 = 0?
-43, -1, -1/4, 0
Let l(b) be the second derivative of 1/100*b**5 + 0*b**3 - 1/60*b**4 + 0 + 0*b**2 - 49*b. Factor l(v).
v**2*(v - 1)/5
Let c(v) = -v**3 - 6*v**2 - 5*v + 5. Let k be c(-5). Factor -60*h + 60*h**3 - 50 + 30*h**4 - 5*h**3 + 5*h**k + 10*h**2 + 10.
5*(h - 1)*(h + 1)*(h + 2)**3
Let t be 58/95 + 4/(-10). Let b = 22763 + -22761. Let 6/19*y - 2/19*y**3 + 0 - t*y**b = 0. What is y?
-3, 0, 1
Let u be 20/45 + (-17)/(306/(-64)). Factor -2*g - 2*g**2 + 0 + 1/2*g**3 + 1/2*g**u.
g*(g - 2)*(g + 1)*(g + 2)/2
Let f be 36/8*157/105. Let v = 27/35 + f. Find r, given that -v*r**2 + 15/2 - 5/4*r + 5/4*r**3 = 0.
-1, 1, 6
Let u(y) be the first derivative of 5*y**4/8 - 405*y**3/2 + 2415*y**2/4 - 1205*y/2 + 7003. Factor u(x).
5*(x - 241)*(x - 1)**2/2
Let i(h) = h**3 - 58*h**2 - 238*h - 616. Let x be i(62). What is a in -4*a**3 + 4*a - 3/2 + 5/2*a**x - a**2 = 0?
-1, 3/5, 1
Let i(v) be the third derivative of -1/525*v**7 + 0*v + 0*v**3 - 1/150*v**6 + 1/150*v**5 + 1/30*v**4 + 0 + 159*v**2. Factor i(m).
-2*m*(m - 1)*(m + 1)*(m + 2)/5
Let d(u) be the third derivative of -4/45*u**3 + 139/900*u**6 + 8/45*u**4 + 5/504*u**8 + 2*u**2 + 0*u - 19/315*u**7 + 16 - 97/450*u**5. Factor d(g).
2*(g - 1)**3*(5*g - 2)**2/15
Solve -29411*t**2 + 14768*t**2 + 392*t + 114*t**3 + 15175*t**2 + t**5 - 25*t**4 = 0 for t.
-2, -1, 0, 14
Let y(z) be the third derivative of 1/9*z**5 - 1/15*z**6 - 1/12*z**4 + 0*z + 0*z**3 - 1/504*z**8 + 0 + 2/105*z**7 + 79*z**2. Factor y(m).
-2*m*(m - 3)*(m - 1)**3/3
Let f(t) be the second derivative of -1/140*t**5 + 1/840*t**6 + 0*t**4 - 2*t - 3/2*t**2 + 0 + 2/21*t**3. Let q(y) be the first derivative of f(y). Factor q(a).
(a - 2)**2*(a + 1)/7
Let r be 1/(12/159) - 3439/362. Suppose -3/2*h**2 - 15/4*h**5 + 0 + 0*h + r*h**3 + 3/2*h**4 = 0. What is h?
-1, 0, 2/5, 1
Let b(i) = -903*i - 70*i**2 - 2*i**3 + 794*i + 3*i**3. Let q(k) = k**3 - 35*k**2 - 54*k. Let d(g) = -6*b(g) + 11*q(g). Factor d(s).
5*s*(s + 3)*(s + 4)
Let j be 4480/(-770) - 3*(-5 + 3). Let 0 - j*x**5 - 2/11*x**2 - 6/11*x**3 - 6/11*x**4 + 0*x = 0. Calculate x.
-1, 0
Factor -4*o**3 - 100 - 96*o - 21*o**2 + 52*o**3 - 47*o**3.
(o - 25)*(o + 2)**2
Let j(z) = -5*z**3 - 48*z**2 + 143*z - 129. Let t(p) = 16*p**3 + 146*p**2 - 430*p + 398. Let g(u) = 10*j(u) + 3*t(u). Factor g(m).
-2*(m - 2)*(m - 1)*(m + 24)
Let j(y) = 9*y**2 + 12*y - 21. Let p = 382 - 376. Let b(f) = -7*f**2 - 13*f + 22. Let k(x) = p*b(x) + 5*j(x). Factor k(i).
3*(i - 3)**2
Let l = 1160157 + -1160155. Factor -23/7*z**l + 1/7*z**3 - 405/7 + 171/7*z.
(z - 9)**2*(z - 5)/7
Suppose -4*y + 6*m = 10*m - 84, -4*m + 20 = 0. Suppose -y*s**2 - 10*s**2 + 16 - 16*s**2 + 41*s**2 = 0. Calculate s.
-4, 4
Factor -1 + 23*l**4 - 55*l**4 - 161*l**5 + 1 + 163*l**5 + 180*l**3 - 432*l**2 + 378*l.
2*l*(l - 7)*(l - 3)**3
Let p(y) be the first derivative of y**6/30 + y**5/5 + y**4/2 + 2*y**3/3 + y**2/2 + y/5 - 593. Solve p(c) = 0 for c.
-1
Let d be 27/(621/161) + 290/(-42). Let l(h) be the first derivative of 1/7*h**2 + 4/7*h + 12 - d*h**3. Find u such that l(u) = 0.
-1, 2
Factor 16 - 52/7*t**2 - 64/7*t + 4/7*t**3.
4*(t - 14)*(t - 1)*(t + 2)/7
Let 2/3*m**4 + 82/3*m**2 - 40 + 28/3*m**3 + 8/3*m = 0. What is m?
-10, -3, -2, 1
Let s be (-4 - -2)/2*(-6)/(247 + -7). Let y(w) be the third derivative of -31*w**2 + 0*w**3 + 1/8*w**4 + 0*w + 0 - 1/80*w**6 - s*w**5. Factor y(l).
-3*l*(l - 1)*(l + 2)/2
Let g be ((-7020)/28512 - (-2)/16)*-6. Determine o so that g + 4/11*o**2 - 2/11*o**3 + 14/11*o = 0.
-1, 4
Suppose 5*s = -2473 + 10223. Suppose -4*r + 482 + s = 0. Factor 3*j**2 - j**2 + j - r*j**3 + 509*j**3.
j*(j + 1)**2
Let k(u) be the second derivative of -5*u**4/12 - 635*u**3 - 725805*u**2/2 - 1864*u. Suppose k(v) = 0. What is v?
-381
Suppose 5*s + 4*f - 21 + 3 = 0, 3*f - 4 = s. Let i = -2 + 6. Factor -s*u**3 + i*u**4 + 2*u**3 - 21*u**2 + 4 + 13*u**2.
4*(u - 1)**2*(u + 1)**2
Let p(b) = -1. Suppose 6*d - d = 0. Suppose 0 = u - 2*y + 15, 3*u + 4*y + d = 5. Let r(m) = m**2 - 2*m + 8. Let g(o) = u*r(o) - 40*p(o). Factor g(f).
-5*f*(f - 2)
Determine g so that -890/3*g - 2/15*g**4 - 1400/3 - 86/15*g**3 - 66*g**2 = 0.
-28, -5
Let k = -182 + 281. Let m = -78 + k. Let -10*d - 8 + 16*d**2 + 16 + 7 - m*d**2 = 0. Calculate d.
-3, 1
Let c be 2/((-6)/9)*(1 - 3). Let q(k) be the first derivative of -6*k - 4*k**3 - 15/2*k**2 + c - 3/4*k**4. Find y, given that q(y) = 0.
-2, -1
Let q = -6082/745 - -1276/149. Factor 2/5*v**2 + q + 4/5*v.
2*(v + 1)**2/5
Let j be 1/3 + 1/(-15)*5. Suppose j = -51*q + 60*q - 45. Factor 1/2*i**q - 2*i - 3/2*i**3 + 0 - i**4 + 4*i**2.
i*(i - 2)*(i - 1)**2*(i + 2)/2
Let a(u) be the third derivative of u**5/120 + 165*u**4/8 + 81675*u**3/4 + 3936*u**2. Solve a(p) = 0 for p.
-495
Let c(j) be the second derivative of j**4/18 - j**3 - 190*j**2/3 + 587*j. Determine b, given that c(b) = 0.
-10, 19
Find l, given that 0*l + 20/3*l**3 + 1/3*l**5 + 3*l**4 + 0 + 4*l**2 = 0.
-6, -2, -1, 0
Let u be -1*18/(-219)*4/10