late g.
-2/7, 1/3
Let a = -86 - -101. Solve -9*t**2 - 17*t + a*t - 4 - 11*t = 0.
-1, -4/9
Solve 3/2*l + 9/2*l**2 + 3/2*l**4 + 0 + 9/2*l**3 = 0 for l.
-1, 0
Let c(y) be the second derivative of 128/15*y**3 - 96/5*y**2 - 14*y + 0*y**5 - 8/5*y**4 + 2 + 2/75*y**6. Factor c(a).
4*(a - 2)**3*(a + 6)/5
Let v(j) = 152*j - 8662. Let s be v(57). Factor 2/3*p**s + 20/3 - 14/3*p.
2*(p - 5)*(p - 2)/3
Let u = 4/425881 - -31941067/851762. Factor 5/2*t**2 - u + 5*t.
5*(t - 3)*(t + 5)/2
Suppose 2*t + 15 = 4*l + 23, -l - 29 = 4*t. Let z(w) = w**4 - 2*w**3 + w. Let x(k) = -4*k**4 - 9*k**3 + 16*k**2 - 3*k. Let r(s) = t*z(s) - 2*x(s). Factor r(m).
2*m**2*(m - 1)*(m + 16)
Let q be -1 + -2*(6 - 8). Factor 4*w + 14*w**3 + 4*w**2 - 9 + 9 - 13*w**q.
w*(w + 2)**2
Let m = 182672 + -182670. Find z, given that 2/11*z**m + 12/11*z + 18/11 = 0.
-3
Suppose t - 15 = 6. Suppose -t*v**2 - 4*v**4 + 18*v**3 - v**3 - 11*v**2 + 7*v**3 = 0. What is v?
0, 2, 4
Let y(p) be the first derivative of p**5/15 - 17*p**4/3 + 160*p**3 - 1152*p**2 - 18432*p - 957. Let y(i) = 0. What is i?
-4, 24
Let a(v) be the first derivative of -2/3*v + 1/30*v**5 + 2/3*v**2 - 1/12*v**4 - 1/6*v**3 - 78. Factor a(u).
(u - 2)*(u - 1)**2*(u + 2)/6
Let t = -240 - -561. Suppose -317*a**3 + t*a**3 + 1 - 4*a + 7 - 8*a = 0. What is a?
-2, 1
Suppose s - 17 = 5*c, -17*s = -21*s + 5*c + 38. Suppose 9*m - 2*h = s*m - 4, 4 = 2*h. Suppose 0 + 1/8*x**2 - 1/8*x**3 + m*x = 0. What is x?
0, 1
Find f, given that 304 + 2/5*f**2 + 1522/5*f = 0.
-760, -1
Suppose -63 = 5*b - 12*b. Factor -12 - 24*y + 6*y - b*y - 14*y**2 - 3*y**3 - 4*y**2.
-3*(y + 1)**2*(y + 4)
Let i(m) be the first derivative of -7*m**4/12 + 100*m**3/9 - 154*m**2/3 + 80*m/3 - 968. Let i(c) = 0. What is c?
2/7, 4, 10
Let y(c) = 2*c**3 + 189*c**2 + 103*c + 849. Let q be y(-94). Factor -1/5*n**4 - 4/5*n**q - 4/5*n**2 + 0*n + 0.
-n**2*(n + 2)**2/5
Let f be 1758*28/12936 + (-12)/11. Find l such that 1/7*l**3 + l**5 - 8/7*l - 4/7 + 23/7*l**2 - f*l**4 = 0.
-1, -2/7, 1, 2
Let x be 6/(-10) - ((-520)/(-25))/(-8). Factor -4671*n**2 + 4723*n**x - 6*n**3 - 8*n + 66*n**3.
4*n*(n + 1)*(15*n - 2)
Let b(j) = -49*j**2 + 146*j - 94. Let d be b(2). What is x in 0 - 1/2*x**d - 3*x = 0?
-6, 0
Let p(a) be the first derivative of a**4/30 + 4*a**3/15 - a**2 + 18*a - 62. Let r(d) be the first derivative of p(d). Factor r(m).
2*(m - 1)*(m + 5)/5
Let h(x) be the second derivative of -x**4/54 - 178*x**3/9 - 7921*x**2 + 24*x - 3. What is p in h(p) = 0?
-267
Let i(h) be the first derivative of 5/6*h**6 + 0*h**3 - h**5 + 0*h + 212 - 15*h**4 + 0*h**2. Solve i(v) = 0 for v.
-3, 0, 4
Suppose 4*j = -u - 199, j + 47 = u + 1. Let w = 97 + j. Factor 48*r + r**5 + 3*r**2 + r**4 - w*r + 5*r**3 - 2*r**5.
-r**2*(r - 3)*(r + 1)**2
Let q(g) = -733*g - 56439. Let j be q(-77). Solve -8/3*o + 1/3*o**4 - 4/3*o**j + 0 + 2/3*o**3 = 0 for o.
-2, 0, 2
Let l(w) = w**3 - 14*w**2 - w + 16. Let d = -62 + 76. Let u be l(d). Factor -6 - 12*t + 13*t**2 - 3*t + 10 - u.
(t - 1)*(13*t - 2)
Let x = -146379 + 146383. Determine k so that 0 - 2/5*k**x + 64/5*k + 0*k**2 - 12/5*k**3 = 0.
-4, 0, 2
Let f(j) be the second derivative of 123*j**4/16 - 92*j**3 - 9*j**2/2 - 168*j. Factor f(u).
3*(u - 6)*(123*u + 2)/4
Let s(d) = 5*d + 20. Let o be s(10). Suppose 4*h + z = 280 - o, 3*z = -5*h + 259. What is c in 48 + 78*c**3 + 76*c**3 - h*c**4 - 328*c - 45*c**4 + 524*c**2 = 0?
-2, 2/7, 3
Let d(f) be the first derivative of 2*f**3/9 - 716*f**2/3 - 478*f + 4420. Solve d(w) = 0 for w.
-1, 717
Find v such that -121*v + 68 + 207*v - v**2 - 54*v = 0.
-2, 34
Let y be (2 + (-58)/28)*330365/(-150). Let v = -625/4 + y. Suppose -24/5*t + 366/5*t**3 - 188/15*t**2 + v + 24*t**5 - 1214/15*t**4 = 0. Calculate t.
-1/4, 2/9, 2/5, 1, 2
Let z = 482969/3 + -160989. Find w, given that -2 + 1/6*w**2 + z*w = 0.
-6, 2
Let c(b) be the first derivative of 0*b + 3/16*b**4 + 600*b**2 + 214 + 20*b**3. Solve c(m) = 0 for m.
-40, 0
Suppose -6 = -5*w - 3*t, 5*t = 175*w - 171*w + 10. Factor 2/17*s**4 + w*s + 6/17*s**2 + 8/17*s**3 + 0.
2*s**2*(s + 1)*(s + 3)/17
Let i be (7/4)/(16961/19384). Factor 2/3*k**i + 0 + 28/3*k.
2*k*(k + 14)/3
Let u(w) = -13*w + 12*w**3 - 4*w - w**3 + 15*w**2 + 7*w**2 + 2*w. Let f(r) = r**3 + 2*r**2. Let t(s) = 6*f(s) - u(s). Find n such that t(n) = 0.
-3, 0, 1
Let t(w) be the second derivative of -1/75*w**6 + 1/15*w**3 - w - 1/5*w**2 + 1/15*w**4 + 1/105*w**7 - 1/25*w**5 + 15. Factor t(y).
2*(y - 1)**3*(y + 1)**2/5
Suppose -22*b = 20*b - 2016. Suppose -27*q**3 + b - 28*q**5 + 208*q - 330*q**3 + 177*q**3 + 100*q**2 - 148*q**4 = 0. Calculate q.
-3, -2, -1, -2/7, 1
Suppose -556/7*a**2 - 944/7*a**4 + 62/7*a + 210*a**3 - 32/7*a**5 + 0 = 0. Calculate a.
-31, 0, 1/4, 1
Let k(f) be the third derivative of -f**6/360 - 54*f**5/5 - 315575*f**4/24 - 942841*f**3/9 + 548*f**2 - 2*f - 3. Factor k(t).
-(t + 2)*(t + 971)**2/3
Let b(j) be the second derivative of 1/10*j**5 + 0*j**2 + 58*j - 1/84*j**7 - 1/30*j**6 - 1/4*j**3 + 0 + 1/12*j**4. Determine s so that b(s) = 0.
-3, -1, 0, 1
Let p = 50186367150/2041 - 24589106. Let n = p + -18/157. Factor -6/13*u**3 - 4/13*u**5 + 0 - n*u**4 + 2/13*u**2 + 2/13*u.
-2*u*(u + 1)**3*(2*u - 1)/13
Let n(h) be the second derivative of h**4/60 + h**3/30 + 681*h + 2. Find r such that n(r) = 0.
-1, 0
Let m(z) be the third derivative of z**6/24 + 259*z**5/6 + 28165*z**4/2 + 110940*z**3 + z**2 - 134*z + 3. Determine q so that m(q) = 0.
-258, -2
Let d(m) = 6*m**2 + 114*m. Let z = -97 - -111. Let r(k) = k**2 + 23*k. Let o(v) = z*r(v) - 3*d(v). Let o(c) = 0. Calculate c.
-5, 0
Let v(u) be the first derivative of -u**4/24 + 7*u**3/18 + 71*u**2/6 - 308*u/3 + 721. Determine k, given that v(k) = 0.
-11, 4, 14
Suppose 0 = -c + 2*m - 10, -25 = -4*c - 0*m - 5*m. Suppose 2*y = -c*y - 6, -4*y = 4*j. Suppose 12*t - 1388*t**2 + j - 3 + 1385*t**2 = 0. What is t?
0, 4
Suppose -7 + 293 - 32*s - 146 - 140*s**2 - 2*s**3 + 34*s = 0. Calculate s.
-70, -1, 1
Let s(g) be the first derivative of g**6/3 + 68*g**5/25 - 67*g**4/10 - 656*g**3/15 + 628*g**2/5 - 224*g/5 - 5773. Determine r, given that s(r) = 0.
-7, -4, 1/5, 2
Let a(m) = 3*m**2 - 6*m - 155. Let q(y) = -11*y**2 + 8*y + 466. Let i(r) = 7*a(r) + 2*q(r). Find h such that i(h) = 0.
-17, -9
Let g = -21/3289 - -105311/9867. Determine r so that 20/3*r + 56/3 - g*r**2 + 4/3*r**3 = 0.
-1, 2, 7
Let i(x) be the third derivative of 7*x**6/480 - 31*x**5/80 + 10*x**4/3 - 7*x**3/2 + 1738*x**2. Factor i(t).
(t - 7)*(t - 6)*(7*t - 2)/4
Suppose -3*l = o - 77 - 60, 5*l + 5*o = 235. What is w in 360*w + 80*w**3 + 3*w**5 + 108 + 320*w**2 + 59*w**3 + l*w**4 + 86*w**3 + 115*w**2 = 0?
-6, -1
Let v = -4482/181 + 18109/724. Let -15/8*a**2 + 29/8*a + v = 0. Calculate a.
-1/15, 2
Let l(v) = -7*v + 9. Let t be l(0). Let f be t - (2 + (-26)/(-4)). What is x in -2*x + 2*x**4 - 5*x**2 + 4 + 1/2*x**3 + f*x**5 = 0?
-2, 1
Let o(s) be the third derivative of -1/30*s**5 + 16*s**2 + 19/3*s**3 + 0*s + 3/2*s**4 + 0. What is y in o(y) = 0?
-1, 19
Let o(b) = 116*b**4 - 104*b**3 - 60*b**2 + 3452*b + 9212. Let c(m) = 30*m**4 + m**2 - m - 1. Let g(z) = 4*c(z) - o(z). Factor g(w).
4*(w - 6)*(w + 4)**2*(w + 24)
Let x be 51/84 + 11/44 - (-261)/609. Let a = 5 - 1. Factor 6/7*i**a - 3/7*i**3 + 0*i + 0 + x*i**5 + 0*i**2.
3*i**3*(i + 1)*(3*i - 1)/7
Let x = -2492 + 22375/9. Let i = -335/63 - x. Factor -18/7 - 8/7*f**3 + 24/7*f + i*f**2 - 2/7*f**4.
-2*(f - 1)**2*(f + 3)**2/7
Determine t so that -226 - 916*t - 230 - 324*t**2 - 4*t**3 + 95*t**2 - 48*t**2 - 187*t**2 = 0.
-114, -1
Let y be (360/210 + -2)/(-33*(-1)/(-14)). Let i(f) be the first derivative of 39 + 1/22*f**4 + y*f**3 - 1/11*f**2 - 4/11*f. Factor i(b).
2*(b - 1)*(b + 1)*(b + 2)/11
Let u(w) = -8*w**2 - 71*w + 13. Let n be u(-9). Suppose 0 = 38*l - n*l. Factor l*y - 2/3*y**2 + 2/3.
-2*(y - 1)*(y + 1)/3
Let n be ((-5472)/(-360))/38 - 8/(-5). Factor 0 + 0*x + 60*x**4 + 36/5*x**n + 36/5*x**5 - 212/5*x**3.
4*x**2*(x + 9)*(3*x - 1)**2/5
Let j(f) be the second derivative of f**7/14 + 9*f**6/5 - 117*f**5/20 + 5*f**4 - 6281*f. Suppose j(c) = 0. Calculate c.
-20, 0, 1
Let r be 80/100 + (-21)/(-5). Suppose 14*d + r*d = 95. Determine s so that 2/13*s**d - 4/13 + 6/13*s + 0*s**4 + 4/13*s**2 - 8/13*s**3 = 0.
-2, -1, 1
Determine h, given that 75 - 9/7*h**2 + 135/7*h - 3/7*h**3 = 0.
-5, 7
Let n(y) = -6*y**3 - 1