*t**2 = 0. Calculate t.
-2, -1, 2
Suppose 3*l - 3*g = -150, 2*l + 3*g = -16 - 74. Let j be (-5 - -2) + (-102)/l + 1. Factor -1/8*o + j*o**2 + 0 + 1/8*o**3 - 1/8*o**4.
-o*(o - 1)**2*(o + 1)/8
Suppose 100 = 5*a - 5*v, -a - 3*v + 7*v + 5 = 0. Suppose z + 0*z + 3*n = -15, 5*z - 5*n - a = 0. Factor 0*b + z + 1/2*b**2 + 1/2*b**3.
b**2*(b + 1)/2
Let r(o) be the third derivative of -o**6/180 + 4*o**5/45 + 37*o**4/36 - 44*o**3/9 - 1323*o**2. Let r(m) = 0. What is m?
-4, 1, 11
Suppose 31*j = 32*j - 30. Let k be (3/(j/4))/(2/10). Factor o**k - 6*o**2 + 8*o**2 - 24 + 6*o.
3*(o - 2)*(o + 4)
Let h(x) = -5*x**2 + 86*x - 21. Let d be h(17). Let f be d*(138/(-24) - (-30)/6). Solve 96/17*s + 72/17 + 2/17*s**f + 26/17*s**2 = 0.
-6, -1
Find l, given that -248*l + 993/4 - 1/4*l**2 = 0.
-993, 1
Suppose 12 + 44 = 8*f. Suppose f*z - 18 = z. Let -293*s - 8 - 26*s**2 + 317*s - 3*s**4 + 12*s**z + s**4 = 0. What is s?
1, 2
Find m, given that -63 - 7*m - 172*m**2 - 13*m - 4*m**4 + 351 + 52*m**3 + 80*m = 0.
-1, 3, 8
Let c(j) = j**2 - 104*j + 93. Let u(z) = -z**2 + 106*z - 93. Let v(k) = -6*c(k) - 5*u(k). Suppose v(q) = 0. Calculate q.
1, 93
Let k(n) = 3538*n - 24762. Let d be k(7). Let -18/7*p**5 + 4/7*p**2 + 0 + 0*p - 4/7*p**d + 18/7*p**3 = 0. What is p?
-1, -2/9, 0, 1
Let u = 31625 - 31623. Let m = 266278/35847 + 2/5121. Let -2/7*b**u - 338/7 - m*b = 0. Calculate b.
-13
Let m be 45/(-30)*(-2)/3 - -2. Factor -4*a**4 + 787*a + 57*a**3 + 941*a + 18*a**3 - 576*a**2 - 1728 + 5*a**m.
-4*(a - 6)**3*(a - 2)
Let k(i) = -21*i - 397. Let f be k(-19). Let r(g) be the first derivative of 2/9*g**3 + 4/3*g - 14 - g**f. Factor r(d).
2*(d - 2)*(d - 1)/3
Let z(f) = -115*f**3 + 11440*f**2 - 67975*f + 101430. Let l(r) = 17*r**3 - 1634*r**2 + 9711*r - 14490. Let q(p) = -20*l(p) - 3*z(p). Factor q(d).
5*(d - 322)*(d - 3)**2
Suppose -539*p + 542*p - 78 = 0. Suppose 241 + p = 89*t. Factor -1/2 + 1/2*h**2 + 1/4*h**t - 1/4*h.
(h - 1)*(h + 1)*(h + 2)/4
Let r be -1754 + 1760 - (0 + 0 - (-27)/(-8)). Factor 3/8*v**4 + r - 3*v**3 + 9/4*v**2 + 15*v.
3*(v - 5)**2*(v + 1)**2/8
Suppose -11*k - 2080 = -37*k. Factor -k + 176*n**2 + 7*n - 47*n - 181*n**2.
-5*(n + 4)**2
Let y(p) be the third derivative of p**8/672 - p**7/420 - 7*p**6/30 - p**2 + 594*p. Factor y(f).
f**3*(f - 8)*(f + 7)/2
Let g be ((-88)/330*(-6)/(-8))/(4/(-60)). Solve 2 - 1/4*j**g + 3/2*j - 3/4*j**2 = 0.
-4, -1, 2
Suppose 0 = -4*c + c - 4*w - 135, -4*w = -12. Let k = 52 + c. Let z(i) = -i**2 - 3. Let f(p) = -1. Let r(h) = k*f(h) - z(h). Factor r(y).
y**2
Let x(m) be the second derivative of -m**6/24 + 33*m**5/2 - 5445*m**4/2 + 239580*m**3 + 62*m**2 - 86*m. Let i(v) be the first derivative of x(v). Factor i(t).
-5*(t - 66)**3
Let k be 52/(-21) + 36/12 + 201/1407. Find i, given that -k*i**3 + 10*i + 4*i**2 + 16/3 = 0.
-1, 8
Let s = -46337/2 + 23171. Find x such that 3/4*x**4 - 9/4*x**2 + x - s*x**3 + 0 = 0.
-1, 0, 1/3, 4
Let n(t) be the second derivative of 0 - 1/9*t**2 + 1/27*t**4 + 107*t - 1/45*t**5 - 1/135*t**6 + 1/189*t**7 + 1/27*t**3. Factor n(p).
2*(p - 1)**3*(p + 1)**2/9
Let j(u) = u**4 + 2*u**3 - u**2 + u + 1. Let h(o) = 3*o**4 + 2*o + 98*o**2 + 69*o**3 + 3 - 6*o**4 - 1 - 100*o**2. Let l(b) = h(b) - 2*j(b). Factor l(w).
-5*w**3*(w - 13)
Let b = 258501/25 - 10340. Let x(d) be the first derivative of 0*d - b*d**5 + 1/3*d**3 + 1/5*d**4 + 30 + 0*d**2. Solve x(o) = 0.
-1, 0, 5
Let p(t) be the first derivative of 49*t**4/20 - 10661*t**3/15 + 608*t**2 - 868*t/5 + 140. Find m such that p(m) = 0.
2/7, 217
Suppose 3*v - 7*v - 4*r + 4 = 0, -3 = 3*r. Suppose -2105*c**v + 6 - 3*c**3 - 11*c + 4*c**3 + 2109*c**2 = 0. Calculate c.
-6, 1
Let j(m) = 11*m**4 + 522*m**3 + 1554*m**2 + 1553*m + 522. Let v(d) = 15*d**4 + 524*d**3 + 1554*d**2 + 1552*d + 523. Let t(g) = 4*j(g) - 3*v(g). Factor t(f).
-(f - 519)*(f + 1)**3
Let l(b) be the first derivative of -1/4*b**4 + 392*b + 10*b**3 - 126*b**2 - 114. Solve l(g) = 0.
2, 14
Suppose 22*i + 24 = 112. Factor -3*k**4 + i*k**4 + 30*k**2 - 17*k**3 - 21*k**4 - 48*k**3 - 5*k**4.
-5*k**2*(k + 3)*(5*k - 2)
Let c be (-3270)/(-3900) - (-5)/(-130). Let d(l) be the first derivative of 1/10*l**4 - 5 + 0*l + 8/15*l**3 + c*l**2. Factor d(n).
2*n*(n + 2)**2/5
Suppose h + 9 = -24. Let i = 37 + h. Let o**3 - 2468*o**5 + i*o**4 - 4*o**2 + 2458*o**5 + 9*o**3 = 0. Calculate o.
-1, 0, 2/5, 1
Let 0 + 0*t**3 - t**2 + 1/3*t**4 - 2/3*t = 0. What is t?
-1, 0, 2
Determine u so that -4/3*u**5 - 17/3*u**4 + 0*u + 0 - 33*u**2 + 40*u**3 = 0.
-33/4, 0, 1, 3
Let w = 3935 + -3931. Find s such that 9/2*s + 1/2*s**5 + 11*s**3 + 12*s**2 + 0 + w*s**4 = 0.
-3, -1, 0
Let l(k) be the second derivative of -3*k**5/80 - 3*k**4/2 + 715*k**3/8 + 1107*k**2/4 - 6*k + 26. Determine x, given that l(x) = 0.
-41, -1, 18
Let f = 109908392/1026915 + -23836/223. Let k = f - 2/307. Solve 0*t + k*t**3 - 2/5*t**2 + 0 = 0.
0, 3
Let b be (4779/(-708))/(-6 + 0). Let -3/4 + b*a - 3/8*a**2 = 0. What is a?
1, 2
Let l(j) = -j**2 - j + 60. Let n(h) = h**2 - 188*h + 975. Let i(v) = 2*l(v) - n(v). Factor i(t).
-3*(t - 57)*(t - 5)
Let r(h) = -2*h**3 - h**2 - 2*h + 1. Let y be r(-3). Determine a, given that -95*a - 32*a**2 - 25*a**2 + y*a**2 - 90 = 0.
-18, -1
Suppose 3*a + 473 - 665 = 0. Let -4*r**5 - 10*r - 14*r - 24*r + 94*r**3 - 42*r**3 + a - 64*r**2 = 0. Calculate r.
-4, -1, 1, 2
Suppose -438048/5 - 4548992/5*m**2 - 2949336/5*m + 283986*m**3 - 23268/5*m**4 + 98/5*m**5 = 0. What is m?
-2/7, 4, 117
Factor 1/2*q - 289/2*q**2 - 1/2*q**3 + 289/2.
-(q - 1)*(q + 1)*(q + 289)/2
Let a = -4451 - -4455. Let z(g) be the first derivative of 15/8*g**a - 15 + 3/4*g**2 + g - 2/5*g**5 - 8/3*g**3. Determine b so that z(b) = 0.
-1/4, 1, 2
Let i(t) = -203*t + 611. Let a be i(3). Let q(s) be the second derivative of 1/30*s**3 - 1/60*s**4 + 0 + 1/5*s**a + 25*s. Factor q(n).
-(n - 2)*(n + 1)/5
Let g(a) be the first derivative of -a**4/18 - 860*a**3/27 - 1283*a**2/9 - 1708*a/9 - 11662. Factor g(s).
-2*(s + 1)*(s + 2)*(s + 427)/9
Find g such that -1/6*g**3 - 19/2*g - 5*g**2 - 14/3 = 0.
-28, -1
Let b(w) be the second derivative of 5*w**9/1344 - 5*w**8/336 + w**7/168 + 101*w**3/6 + 95*w. Let g(y) be the second derivative of b(y). Factor g(c).
5*c**3*(c - 2)*(9*c - 2)/4
Factor 41*c**2 - 54*c**4 - 124*c**2 - 99*c**3 - 3*c**5 + 38*c**2 - 3*c**2.
-3*c**2*(c + 1)**2*(c + 16)
Let h(p) be the second derivative of 5*p**6/51 + 178*p**5/17 + 16367*p**4/51 + 12460*p**3/17 + 11025*p**2/17 - 5*p - 73. Factor h(w).
2*(w + 35)**2*(5*w + 3)**2/17
Suppose -4*c - 1 = -36*g + 35*g, 12*c - 3 = -3*g. Let q(j) be the first derivative of -3/10*j**5 - 11/2*j**3 + 15/4*j**2 + 21/8*j**4 + 14 + c*j. Factor q(t).
-3*t*(t - 5)*(t - 1)**2/2
Let v be ((-480)/135)/(4/(-6)). Let x = 3/128 - -1783/384. Suppose v*b - x - 2/3*b**2 = 0. What is b?
1, 7
Let q be (-1)/(3/14) + 58/((-2494)/(-301)). Factor q*f + 2 + 1/3*f**2.
(f + 1)*(f + 6)/3
Let z(i) be the third derivative of i**7/42 - 85*i**6/12 + 2351*i**5/4 + 18275*i**4/6 + 18490*i**3/3 + 485*i**2. Suppose z(m) = 0. What is m?
-1, 86
Let t(n) be the second derivative of -7*n**4/96 - 53*n**3/12 - 15*n**2/4 - 87*n. Find a, given that t(a) = 0.
-30, -2/7
Factor 32/3*v - 1/9*v**2 + 97/9.
-(v - 97)*(v + 1)/9
Factor 2825761/5*f + 275684/5*f**2 + 164/5*f**4 + 0 + 10086/5*f**3 + 1/5*f**5.
f*(f + 41)**4/5
Let u(r) be the second derivative of 1/22*r**4 - 45/11*r**2 + 0 - 2/11*r**3 - 62*r. Solve u(f) = 0.
-3, 5
Let o(a) be the first derivative of a**6/30 - 26*a**5/25 + 49*a**4/5 - 632*a**3/15 + 464*a**2/5 - 512*a/5 - 8869. Find i such that o(i) = 0.
2, 4, 16
Let z(b) be the second derivative of -7*b - 5 + 18/5*b**2 - 3/4*b**4 + 4/5*b**3. Let z(l) = 0. Calculate l.
-2/3, 6/5
Let b(m) be the first derivative of 14*m**5/5 + 29*m**4/8 - 9*m**3/2 - 29*m**2/4 - m/2 - 339. Solve b(o) = 0 for o.
-1, -1/28, 1
Let x(l) = -l**3 + 34*l**2 + 49*l - 23. Let v be x(35). Let f = v + -464. Let 0 + 3/5*s**4 + 0*s**2 - 2/5*s**5 + 0*s - 1/5*s**f = 0. What is s?
0, 1/2, 1
Factor 460 + 8024*d - 8608*d - 492 + 148*d**2.
4*(d - 4)*(37*d + 2)
Let i(k) be the first derivative of -26 + 0*k - 4*k**3 + 0*k**2 - 2/3*k**6 - 4*k**5 - 7*k**4. Suppose i(z) = 0. What is z?
-3, -1, 0
Let d = 28178/10641 - -66/3547. What is r in 551/3*r**3 - 322/3*r**2 + 100/3*r**5 - d + 28*r - 135*r**4 = 0?
1/4, 2/5, 1, 2
Suppose 2*d - 6 = -d. Let 