= -6*j(a) - w(a). Factor s(x).
-4*(x - 63)**3*(x - 2)
Let h = 69 - 99. Let f be 18/h + 58/5. Factor -p**2 - 13*p - 1 + f*p + 0.
-(p + 1)**2
Let a(s) = 2*s + 58. Let b be a(-7). Find u such that -145 + 73 + 73*u - b*u**2 + 43*u**2 = 0.
1, 72
Let s(q) be the second derivative of -q**6/10 + 621*q**5/4 - 357075*q**4/4 + 41063625*q**3/2 - 121*q + 3. What is a in s(a) = 0?
0, 345
Let v(f) be the second derivative of f**7/189 + 8*f**6/135 - f**5/6 - 25*f**4/27 + 44*f**3/27 + 8*f**2 - f + 3773. What is a in v(a) = 0?
-9, -2, -1, 2
Let p be ((-30)/10)/(11/(-2)). Let h = 21/22 + p. Find w, given that -h*w - 9/2*w**2 + 3 = 0.
-1, 2/3
Let a = -9431 + 9433. Let n(w) be the first derivative of -8/7*w - 19 - 20/7*w**a + 22/21*w**3. Let n(h) = 0. What is h?
-2/11, 2
Let q(y) = 2*y**2 + 308*y + 11792. Let f be q(-71). Determine o so that 8*o + 7/2*o**2 + 1/2*o**3 + f = 0.
-3, -2
Let h(q) be the third derivative of q**7/70 - 11*q**6/20 - 15*q**5/4 - 9*q**2 - 36. Factor h(x).
3*x**2*(x - 25)*(x + 3)
Let f(d) be the first derivative of 91 + 1/2*d**2 - 6*d - 1/16*d**4 + 1/2*d**3. Find v, given that f(v) = 0.
-2, 2, 6
Let j = 129 - 126. Determine h so that 23*h**3 - 14*h + j*h**3 - 7 - 24*h**3 + 19 = 0.
-3, 1, 2
Let m(b) = 13*b + 69*b**2 + 160*b - 5*b + 139 + 8*b**3. Let w(i) = 4*i**3 + 35*i**2 + 84*i + 69. Let v = 666 - 663. Let o(p) = v*m(p) - 5*w(p). Factor o(z).
4*(z + 2)*(z + 3)**2
Let x(w) = -2*w**2 + 39*w + 24. Let m be x(20). Let b(h) = -3*h**3 - 13*h**2 - 12*h + 72. Let g(n) = -2*n**3 - 3*n**2. Let t(p) = m*b(p) - 4*g(p). Factor t(a).
-4*(a - 2)*(a + 6)**2
Suppose -8 = -2*b + 4*z, -2*b = z + 2*z - 22. Suppose -227*g = -224*g - 6. Factor g*o**2 - b - 6*o**2 - 67*o + 79*o.
-4*(o - 2)*(o - 1)
Let m(q) be the first derivative of 1/5*q**2 - 2/75*q**5 + 2/9*q**3 + 1/30*q**4 + 0*q + 100. Factor m(g).
-2*g*(g - 3)*(g + 1)**2/15
Suppose 0 = -4*t + 34 + 2. Let d(u) = u**2 - 5*u + 8. Let q be 74/18 - 4/36. Let p(v) = -3*v**2 + 9*v - 15. Let i(l) = q*p(l) + t*d(l). Solve i(j) = 0 for j.
-4, 1
Let g(q) = 1. Let h(s) = 2 - 5*s**2 + 0 - 3 + 70*s - 60*s. Let m(f) = -4*g(f) + h(f). Let m(n) = 0. What is n?
1
Let v(i) be the second derivative of i**6/70 - 18*i**5/35 - 13*i**4/7 - 2*i - 2219. Factor v(d).
3*d**2*(d - 26)*(d + 2)/7
Let r(l) = -2*l - 35. Let p be r(-18). Let b be (47 + p)*81/108. Factor 9*n - 15*n**2 + b*n**2 + 8 - 20*n**2.
(n + 1)*(n + 8)
Let l(g) be the first derivative of -g**6/10 + 9*g**5/5 + 45*g**4/4 + 5*g**3 - 171*g**2/5 - 604. Find z such that l(z) = 0.
-3, -2, 0, 1, 19
Factor -49/2*x**2 - 90 + 1/2*x**3 + 92*x.
(x - 45)*(x - 2)**2/2
Factor 20*p**2 + 41/2*p + 0 - 1/2*p**3.
-p*(p - 41)*(p + 1)/2
Let 144/5 - 4632/5*q + 58782/5*q**3 + 20402/5*q**4 + 33604/5*q**2 = 0. Calculate q.
-2, -1, 6/101
Suppose 502*b + 5*c = 506*b - 73, 4*c = -3*b - 46. Let 1/2 - 37/4*p**3 + 5/4*p + 3*p**5 - 21/4*p**b - 1/4*p**4 = 0. Calculate p.
-1, -1/4, 1/3, 2
What is w in -10 - 211/2*w**2 - 1056*w = 0?
-10, -2/211
Let p(j) be the second derivative of j**8/5880 + j**7/490 + j**6/420 - j**5/42 - j**3/6 - j**2 + j - 2. Let y(q) be the second derivative of p(q). Factor y(t).
2*t*(t - 1)*(t + 2)*(t + 5)/7
Let k(c) be the third derivative of -c**6/200 + 11*c**5/25 - c**2 + 5866. Factor k(y).
-3*y**2*(y - 44)/5
Let s(h) be the second derivative of h**7/42 + 4*h**6/5 - 499*h**5/20 + 683*h**4/6 + 720*h**3 + 1216*h**2 - 21*h - 31. Factor s(k).
(k - 8)**2*(k + 1)**2*(k + 38)
Factor -87*j**5 + 90*j**5 - 81*j**3 - 8*j**4 - 48*j - 4*j**4 - 42*j**2 - 72*j**2.
3*j*(j - 8)*(j + 1)**2*(j + 2)
Let z = -744 + 1611. Let s = z - 1733/2. Suppose 0*i + 0 - s*i**3 + 1/2*i**4 - i**2 = 0. What is i?
-1, 0, 2
Let t(u) be the first derivative of 35/8*u**2 + 2 + 15/2*u + 0*u**3 - 5/16*u**4. Suppose t(k) = 0. Calculate k.
-2, -1, 3
Find n such that 4/3*n**4 + 0 + 196/3*n - 196/3*n**2 - 4/3*n**3 = 0.
-7, 0, 1, 7
Let j(u) = 68*u**2 + 515*u + 704. Let m(z) = 67*z**2 + 515*z + 696. Let p(v) = -12*j(v) + 13*m(v). Factor p(g).
5*(g + 8)*(11*g + 15)
Suppose -5 = -7*d + 6*d. Suppose 3*f - 62 = i - 2*i, 102 = d*f + 3*i. Find t such that -5*t - f*t**2 - 16 - 28*t**3 - 47*t + t**4 - 5*t**4 - 39*t**2 = 0.
-4, -1
Suppose 566*i = 562*i - 140. Let a be 6/i*440/(-132). Factor 6/7*c**3 + 0 + 0*c**4 + a*c**2 - 2/7*c**5 + 0*c.
-2*c**2*(c - 2)*(c + 1)**2/7
Let h(t) be the second derivative of -t**4/3 - 3996*t**3 - 17964018*t**2 - 3*t + 1777. Factor h(k).
-4*(k + 2997)**2
Determine t so that 36*t**2 - 153*t**2 + 59*t**2 + 54*t**2 + 10192*t - 6492304 = 0.
1274
Let g(v) be the first derivative of -v**4/24 + 11*v**3/6 - 215*v**2/12 + 125*v/2 + 1715. Determine z, given that g(z) = 0.
3, 5, 25
Suppose 2*d**2 + 164*d + 2*d**2 + 200 - 40 - d**2 + d**2 = 0. Calculate d.
-40, -1
Let q = -3 + 20. Suppose q*z = 15*z + 4. Factor -10 + 3*x**z + 19 - 3 - 3 - 6*x.
3*(x - 1)**2
Let x(j) = 21*j**2 - 69*j**2 - 6 - 4*j + 46*j**2. Let b(w) = 0*w - 1 + 0*w - w. Let i(v) = -6*b(v) + x(v). Suppose i(c) = 0. What is c?
0, 1
Let q = -501224 - -3007513/6. Let -13/3*x + 1/6*x**2 + q = 0. Calculate x.
13
Let i(k) be the third derivative of 17*k**4/24 - 17*k**3/2 + 30*k**2. Let d be i(3). Factor 0 - 9/2*q**3 + 3/2*q + d*q**2 + 3*q**4.
3*q*(q - 1)**2*(2*q + 1)/2
Let w(l) be the third derivative of -l**8/147 - 16*l**7/735 - l**6/56 + l**5/210 + l**4/168 + 9*l**2 - 116. Solve w(a) = 0 for a.
-1, -1/4, 0, 1/4
Suppose 11*v + 136 = 15. Let f be (-16 + 0 - v)*6/(-10). Solve -4/3*u**2 + 2/3*u + 0 + 2/3*u**f = 0.
0, 1
Suppose 18*w - 520 = -430. Let d(x) be the second derivative of -1/3*x**4 + 0*x**2 + 1/5*x**w + 0 + 2/15*x**6 + 11*x - 2/3*x**3. Factor d(q).
4*q*(q - 1)*(q + 1)**2
Suppose -200/7 - 1/7*z**3 + 9/7*z**2 + 30/7*z = 0. What is z?
-5, 4, 10
Let l = -16 - -16. Let p be -5*(-20)/25 + l. Find f such that -6*f**2 - 3*f**3 + 8*f**3 + 8*f**2 + f**5 + 4*f**p = 0.
-2, -1, 0
Let s(u) be the first derivative of -u**4/22 + 20*u**3/33 - 28*u**2/11 + 48*u/11 - 5007. Solve s(b) = 0.
2, 6
Find x such that -142/5*x**2 + 264/5*x**3 - 134/5*x + 12/5 = 0.
-6/11, 1/12, 1
Let f(m) be the first derivative of m**3 + 4485*m**2/2 - 1177. Suppose f(s) = 0. What is s?
-1495, 0
Solve 36*z**2 - 3/2*z**3 + 0 + 0*z = 0.
0, 24
What is u in -32/5*u**3 - 28/5*u + 0 + 2/5*u**4 + 58/5*u**2 = 0?
0, 1, 14
Let n(v) be the first derivative of v**5/20 + 4*v**4 - 65*v**3/12 + 6156. Factor n(q).
q**2*(q - 1)*(q + 65)/4
Let y(m) be the second derivative of -m**5/90 + 97*m**4/54 - 32*m**3/9 + 39*m + 4. Suppose y(r) = 0. What is r?
0, 1, 96
Let 9 - 1/4*s**3 + 41/4*s + s**2 = 0. What is s?
-4, -1, 9
Let r = 279778 - 1398834/5. Suppose -8/5 - 18*f**2 - 2*f**4 - 52/5*f**3 - r*f = 0. What is f?
-2, -1, -1/5
Find s such that 90*s**3 - 1217 - 86*s**3 - 2652*s - 419 + 308 - 1320*s**2 = 0.
-1, 332
Let c be 14*((-1512)/(-686))/18. Determine y so that 15/7*y**3 + c*y + 0 + 3/7*y**4 + 24/7*y**2 = 0.
-2, -1, 0
Solve -1253736*f - 4*f**3 - 4073*f**2 + 9555*f**2 + 7742*f**2 - 20855064*f + 5580*f**2 + 22090000 = 0.
1, 2350
Let 73*c**3 + 27 - 27 + 4*c**4 - c**4 - 63*c**2 - 133*c**3 = 0. What is c?
-1, 0, 21
Factor -155*c**2 + 5*c**4 - 810*c - 550*c**2 - 16*c**4 + 2*c**4 + 4*c**4 - 160*c**3.
-5*c*(c + 2)*(c + 3)*(c + 27)
Find d, given that d**4 - 9866*d - 20667 + 7218*d**2 + 38*d**3 - 3414*d - 91*d**3 - 49*d**3 - 66*d**3 = 0.
-1, 3, 83
Let m(x) = -2*x**2 - 20*x + 14. Let c be m(-10). Let p be 1 + c + -3 - 2. Solve 6 - 4 - 8*w + p*w**3 - 4*w**4 - 2*w**3 + 2 = 0 for w.
-1, 1
Factor -17*g**4 + 85*g - 205*g**3 - 1020*g - 57930 + 765*g**2 + 58300 + 22*g**4.
5*(g - 37)*(g - 2)*(g - 1)**2
Let q(c) be the second derivative of c**5/170 + 11*c**4/17 - 192*c**3/17 + 1184*c**2/17 - c + 284. What is f in q(f) = 0?
-74, 4
Let 8*t - 128/9 - 4/9*t**2 = 0. What is t?
2, 16
Let g = -2001 - -2001. Factor -26/3*d**3 + 8*d**2 - 8/3*d + g + 4*d**4 - 2/3*d**5.
-2*d*(d - 2)**2*(d - 1)**2/3
Let j = 918797 - 3675149/4. Factor 3/4*s**4 - j - 57/2*s - 15/2*s**3 - 27*s**2.
3*(s - 13)*(s + 1)**3/4
Suppose 2*v**5 + 0*v**5 - 28*v**4 - 66*v**3 + 62*v + 5*v**2 + 23*v**2 - 10*v + 12*v = 0. What is v?
-2, -1, 0, 1, 16
Let p(x) be the second derivative of 2401*x**5/5 + 5537*x**4 - 912*x**3 + 56*x**2 - 9337*x. Solve p(w) = 0.
-7, 2/49
Factor -365*u**2 + 1704*u + 633*u**2 - 272*u**2.
-4*u*(u - 426)
Let f(d) = 4*d**2 - 1696*d + 19776. Let p be f(12). Fin