*(s + 2)**3/4
Let m = 3395201/1293416 - -2/161677. Suppose -27/4 + m*p + 3/8*p**2 = 0. What is p?
-9, 2
Let v(d) be the second derivative of -d**6/70 + 102*d**5/35 - 2379*d**4/14 + 4556*d**3/7 - 13467*d**2/14 - 2*d - 270. Factor v(k).
-3*(k - 67)**2*(k - 1)**2/7
Suppose -4*s + 6 = -5*v, 0 = -3*v + s - 3 + 5. Let l(u) be the first derivative of 0*u - u**4 + 23 + u**v - 2/3*u**3. Suppose l(f) = 0. What is f?
-1, 0, 1/2
Factor -625/8 + 925/2*y - 2663/4*y**2 - 111/2*y**3 - 9/8*y**4.
-(y + 25)**2*(3*y - 1)**2/8
Determine p so that -3*p**3 - 362*p + 6730*p**2 + 80*p + 271 - 6673*p**2 + 89 = 0.
2, 5, 12
Let p(c) = 5*c**2 - 1590*c - 1590. Let u(z) = -2*z**2 + 1. Let s(g) = p(g) + 5*u(g). Suppose s(v) = 0. Calculate v.
-317, -1
Let g = -107820 - -323462/3. Find j such that 22/3*j + 8 - g*j**2 = 0.
-1, 12
Let i(w) be the second derivative of w**4/48 - 9*w**3 + 107*w**2/2 - 1904*w. Factor i(z).
(z - 214)*(z - 2)/4
Let d(j) be the third derivative of j**7/105 + 3*j**6/10 - 83*j**5/30 + 9*j**4 - 44*j**3/3 + 756*j**2 - 2. Find z, given that d(z) = 0.
-22, 1, 2
Let r(z) be the first derivative of 1/6*z**4 - 1/15*z**5 + 0*z**3 + 2 + 8*z**2 + 0*z. Let s(h) be the second derivative of r(h). Factor s(y).
-4*y*(y - 1)
Let t(j) be the second derivative of -j**4/12 - 2*j**3/3 + 5*j**2/2 - 260*j + 3. Let t(s) = 0. What is s?
-5, 1
Let u = -808948/3 - -269650. Let -140/3*t**2 - 184/3*t - 34/3*t**3 + 4/3*t**4 + u*t**5 - 80/3 = 0. What is t?
-2, -1, 5
Let t(r) be the first derivative of -r**4/18 + 4280*r**3/27 - 126973*r**2 - 509796*r - 641. Determine b so that t(b) = 0.
-2, 1071
Factor -8/5 + 22/5*j**2 + 16/5*j + 6/5*j**3.
2*(j + 2)**2*(3*j - 1)/5
Suppose 5413*h - 126 = 5350*h. Find a such that 7/9*a**3 + 1/9*a**5 + 1/9*a**h - 8/9*a + 4/9 - 5/9*a**4 = 0.
-1, 1, 2
Let s = 113/268 - -22/67. Let y be (-5 + 9)/(14/21). Factor y + s*m**2 + 9/2*m.
3*(m + 2)*(m + 4)/4
Let i(c) be the second derivative of c**4/102 + 27*c**3/17 + 234*c**2/17 - 6364*c. Factor i(q).
2*(q + 3)*(q + 78)/17
Let y = 61943/12 - 30967/6. Factor 1/4*d**5 + 0*d - y*d**4 + 0*d**2 - d**3 + 0.
d**3*(d - 4)*(d + 1)/4
Let c(v) be the third derivative of 0 - 21*v**2 + 2*v + 21/10*v**5 + 16/3*v**3 + 5*v**4 + 49/240*v**6. Factor c(h).
(h + 4)*(7*h + 4)**2/2
Let z(m) be the third derivative of -m**5/210 + m**4/4 + 22*m**3/21 + 1220*m**2. Factor z(s).
-2*(s - 22)*(s + 1)/7
Find g, given that 563 - 808*g + 3*g**2 - 88*g - 1264*g - 600 + 2194 = 0.
1, 719
Let t(d) = -21*d - 103. Let l be t(-5). Factor 148*r + 12*r**4 - 148*r + 9*r**3 - r**2 - 2*r**l.
3*r**2*(r + 1)*(4*r - 1)
Let z = 402 - 399. Factor 164*a + 38*a + 106*a + a**z + 132*a - 43*a**2 + 484.
(a - 22)**2*(a + 1)
Suppose 0 = 31*y - 29*y - 170. Suppose 4*l = -l + y. Factor -6 + l*s - 12*s + 3*s**2 - 12*s.
(s - 3)*(3*s + 2)
Let y(k) = -k**4 - 4*k**3 + 59*k**2 - 82*k + 4. Let r(b) = b**4 + 3*b**3 - 59*b**2 + 83*b - 5. Let s(z) = -8*r(z) - 10*y(z). Factor s(a).
2*a*(a - 3)*(a - 2)*(a + 13)
Let p(x) be the third derivative of -x**6/480 - x**5/60 + 7*x**4/96 + 5*x**3/12 + 230*x**2 + 6*x. Factor p(b).
-(b - 2)*(b + 1)*(b + 5)/4
Let b(q) = 36*q**2 + 46*q + 4. Let s be b(-2). Suppose 19*m - 1 = s. Solve -2*p**m - 1/5 - 6/5*p - 12/5*p**2 - 3/5*p**4 = 0 for p.
-1, -1/3
Let p(b) be the third derivative of -13/21*b**4 - 1/105*b**5 + 17 + b**2 + 0*b - 338/21*b**3. Determine g so that p(g) = 0.
-13
Let o(z) be the second derivative of 9*z**5/100 + 707*z**4/20 - 284*z**3/3 + 474*z**2/5 - 776*z + 1. Determine s, given that o(s) = 0.
-237, 2/3
Let o(i) be the first derivative of -i**3/9 + 309*i**2 - 6974. What is d in o(d) = 0?
0, 1854
Let t(k) = 7*k**2 - 322*k + 5124. Let f(l) = 29*l**2 + 1526 + 16288 - 1289*l + 2684. Let x(h) = -2*f(h) + 9*t(h). Factor x(b).
5*(b - 32)**2
Suppose -3*o = 4*f - 9, -4*o + 12 - 32 = 0. Let w(k) be the second derivative of 6/35*k**5 + 2/21*k**3 + 3/14*k**4 - 2*k + 1/21*k**f + 0*k**2 + 0. Factor w(j).
2*j*(j + 1)**2*(5*j + 2)/7
Let k be ((-275)/(-90) + -3)*2468*6. Let d = 825 - k. What is u in -1/3*u**5 - 4/3 - u**4 + d*u**2 + 1/3*u**3 + 0*u = 0?
-2, -1, 1
Let v be 2 + (-26)/(-18) - 34/306. Let c(l) be the first derivative of -v*l**3 + 0*l - 25/24*l**6 - 35/4*l**4 + 0*l**2 - 11/2*l**5 - 2. Factor c(x).
-5*x**2*(x + 2)**2*(5*x + 2)/4
Let c(z) be the second derivative of z**5/80 + 43*z**4/24 + 1849*z**3/24 - 310*z. Suppose c(v) = 0. Calculate v.
-43, 0
Suppose -2*x + 2*y = -34, -2*x + x + 11 = 2*y. Let p = x + 3. Suppose -f**2 - 3 + 1 - 3*f**2 + p = 0. Calculate f.
-2, 2
Let y(b) be the second derivative of -b**7/42 + 308*b**6/15 - 35574*b**5/5 + 3652264*b**4/3 - 281224328*b**3/3 + 44*b - 21. Factor y(a).
-a*(a - 154)**4
Let o(p) be the first derivative of 86*p**3/9 - 130*p**2/3 + 2*p + 1427. Determine i, given that o(i) = 0.
1/43, 3
Let b(r) be the first derivative of -r**5/5 + r**4/4 + 22*r**3/3 - 20*r**2 - 2880. Factor b(y).
-y*(y - 4)*(y - 2)*(y + 5)
Let l(x) be the second derivative of 8*x**7/21 - 554*x**6/5 + 288*x**5 + 412*x**4/3 - 5*x - 15. Let l(v) = 0. What is v?
-1/4, 0, 2, 206
Determine v so that 5*v**4 + 108 - 38*v**4 + 57*v**2 - 279*v + 11526*v**3 - 11523*v**3 + 144*v**2 = 0.
-3, 1, 12/11
Let u(t) = 3*t - 9. Let g(h) = -h**3 - 1521*h**2 - 579123*h - 577591. Let p(d) = 5*g(d) + 5*u(d). Factor p(m).
-5*(m + 1)*(m + 760)**2
Let r(y) be the first derivative of -2*y**5/35 - 19*y**4/7 - 554*y**3/21 + 228*y**2 - 504*y - 4341. Factor r(n).
-2*(n - 2)**2*(n + 21)**2/7
Let m = 32 + 27. Let -37*j - m*j**2 + 7*j**4 - 27*j**3 - 6 - 5*j**4 + 9*j**4 - 6*j**4 + 4*j**5 = 0. What is j?
-2, -1, -1/4, 3
Let r(o) be the second derivative of 2*o**7/7 + 9*o**6/2 + 105*o**5/4 + 285*o**4/4 + 181*o**3/2 + 45*o**2 - 3143*o. Solve r(f) = 0 for f.
-5, -3, -2, -1, -1/4
Let n be (-12212)/(-954) + (-220)/20. Let j = -66/53 + n. Suppose 2/3*d - j - 1/9*d**2 = 0. Calculate d.
1, 5
Let s(i) = -3*i**3 + 3*i**3 + 102 - 103 - 4*i**2 - i - i**3. Let z be s(-4). Factor -1/3*t**2 + 0*t - 1/3*t**z + 0.
-t**2*(t + 1)/3
Let v(c) be the third derivative of -c**6/180 + 24*c**5 - 43200*c**4 + 41472000*c**3 - 1936*c**2. What is j in v(j) = 0?
720
Let s(l) = 5*l**2 + 2*l + 12. Let c(h) = 7*h**2 + h + 16. Let r(a) = -2*c(a) + 3*s(a). Factor r(j).
(j + 2)**2
Let h be (-45)/(-12)*(10 - 6). Factor 22*o + o**4 + 14*o**2 + 10*o**3 - h + 10*o**2 + 22.
(o + 1)**3*(o + 7)
Factor -680535 - 5/3*l**2 + 2130*l.
-5*(l - 639)**2/3
Determine n, given that -16/5*n**3 - 1/5*n**5 - 7/5*n**4 + 0*n - 12/5*n**2 + 0 = 0.
-3, -2, 0
Let p(d) be the second derivative of -15*d**3 - 103/4*d**4 + 21/20*d**5 + 0*d**2 + 11*d - 6. Factor p(u).
3*u*(u - 15)*(7*u + 2)
Suppose -v - 6*z - 7*z = 75, 0 = -4*v - 3*z - 6. Let -15/2*p**v + 3/4*p**4 + 0 + 0*p**2 + 0*p = 0. Calculate p.
0, 10
Let o be (-18)/24 - (-94)/104. Let m = 466299/13 + -35869. Let m + 4/13*z + o*z**2 = 0. What is z?
-1
Let v be (-8 - 208/(-24)) + (55/(-17))/5. Let u(n) be the first derivative of 2/17*n**4 + 0*n**3 - 19 + v*n**6 - 2/17*n**5 + 0*n + 0*n**2. Factor u(k).
2*k**3*(k - 4)*(k - 1)/17
Let 182908 - 42346 + 2994*k - 631386 - 3*k**2 - 256179 = 0. Calculate k.
499
Let j = 44019277/51426054 - -41/73782. Let c = -11/41 + j. Determine w, given that 24/17*w**3 + c*w**2 + 2/17*w**4 - 8/17*w**5 - 4/17*w + 0 = 0.
-1, 0, 1/4, 2
Let q(o) be the first derivative of -3/4*o**2 - 14 - 3/8*o**4 - 3/4*o**3 - 3/40*o**5 + 6*o. Let x(t) be the first derivative of q(t). Factor x(w).
-3*(w + 1)**3/2
Let o(l) be the third derivative of -529*l**6/160 - 2507*l**5/80 + 681*l**4/32 - 45*l**3/8 - 16*l**2 + 5*l - 1. Find t such that o(t) = 0.
-5, 3/23
Let r = 4863 + -2042459/420. Let v(f) be the third derivative of -1/60*f**6 + 0*f**3 - 1/30*f**5 - r*f**7 + 0*f**4 - 18*f**2 + 0*f + 0. Factor v(y).
-y**2*(y + 2)**2/2
Let f = 429 - 427. Find m such that 4332 - 7*m**2 + 5*m**2 + 58*m + 7*m**2 - f*m**2 - 286*m = 0.
38
Suppose -3*t - 32 - 142 = 0. Let d = t + 75. Solve -d*x**2 + 3*x**3 - 26*x**2 + 34*x**2 = 0.
0, 3
Let x be 4/48*-2 + 215/30. Suppose -s = -x*o + 10*o - 37, -141 = -5*s - 4*o. Solve 10/3*f - 5*f**2 - 25*f**3 - s*f**5 + 155/3*f**4 + 0 = 0.
-1/3, 0, 2/5, 1
Suppose -2*a - 17 = -5*t + 3, a = -5*t + 20. Let h be 1*t - (5 - 5). Determine c so that 6*c**4 - 2 + c**3 - 7*c**h + 3 - 3*c**3 + 2*c = 0.
-1, 1
Suppose -c + 2 + 0 = -2*j, -6 = -c - 2*j. Let b(v) be the fir