1)
Suppose 5*x = 154 + 61. Suppose 0 = -r - b + x, 3*r + 5*b - 169 + 34 = 0. What is v in -76/3*v + 4 - r*v**3 + 25/3*v**4 + 53*v**2 = 0?
2/5, 1, 3
Let h(y) be the second derivative of y**6/75 + 2*y**5/25 + y**4/15 - 4*y**3/15 - 3*y**2/5 - 14*y - 12. Find a such that h(a) = 0.
-3, -1, 1
Suppose 13*y**4 + 232*y**2 + 1/2*y**5 - 352*y + 213/2*y**3 + 0 = 0. Calculate y.
-11, -8, 0, 1
Suppose 5*p - 35 = 3*n, -2*n + 5 = 4*p - 1. Suppose -10 = -5*w, p*h - 4*w = -8*w + 16. Factor 24*o + 20*o**2 - 18*o**h - 12 + 9*o**3 + 31*o**2.
3*(o + 2)**2*(3*o - 1)
Solve 22740*q - 16228*q - 8560 + 19163*q + 15*q**2 = 0 for q.
-1712, 1/3
Let l(d) be the first derivative of 32*d - 22 + 12*d**2 + 4/3*d**3. Factor l(h).
4*(h + 2)*(h + 4)
Let r(b) = 2*b**2 + 41*b + 89. Let a(l) = l + 5. Let f(x) = 5*a(x) - r(x). Let f(p) = 0. What is p?
-16, -2
Let n = 172027/156 - 4409/4. Let u(i) be the second derivative of -1/273*i**7 - 28/39*i**3 + 0 + 3*i + 8/195*i**6 + 8/13*i**2 - 5/26*i**5 + n*i**4. Factor u(d).
-2*(d - 2)**3*(d - 1)**2/13
Suppose -5*s + 9*s - 8 = 0. Suppose -551*o - 449 + 71 - 4806 - 3*o**3 - 108*o**s - 745*o = 0. Calculate o.
-12
Let k(p) be the third derivative of p**7/280 - 3*p**6/160 - 9*p**5/40 + 745*p**2. Suppose k(q) = 0. Calculate q.
-3, 0, 6
Let w(r) be the first derivative of r**7/168 - r**6/30 + r**5/16 - r**4/24 + 68*r - 63. Let y(h) be the first derivative of w(h). Suppose y(p) = 0. Calculate p.
0, 1, 2
Let s(q) be the second derivative of q**7/2520 - 47*q**6/180 + 2209*q**5/30 - 47*q**4/3 + 332*q. Let g(j) be the third derivative of s(j). Factor g(o).
(o - 94)**2
Let q(t) be the second derivative of -t**4/42 + 23*t**3/21 + 24*t**2/7 + 844*t. Factor q(p).
-2*(p - 24)*(p + 1)/7
Let s(b) = -b**3 + 4*b**2 + 629. Let j be s(0). Solve -2*d**2 + 334*d + 237 - 278*d - j = 0.
14
Let j be 3 - -3 - ((-42)/7 + 10). Let n be ((-77)/40 + j)/((-17)/(-85)). Find y, given that 0*y - 3/8*y**3 + 0*y**2 + 0 + 0*y**4 + n*y**5 = 0.
-1, 0, 1
Let p(n) = -3*n**2 - 379*n + 1834. Let d be p(-131). Let 0*w**2 + 2/3*w + d - 2/3*w**3 = 0. What is w?
-1, 0, 1
Let m(f) be the second derivative of f**5/2 - 17*f**4/2 + 10*f**3/3 + 100*f + 31. Let m(o) = 0. Calculate o.
0, 1/5, 10
Let a(v) be the second derivative of v**4/12 + 2*v**3 - 54*v**2 - 1155*v. What is u in a(u) = 0?
-18, 6
Let a(k) be the second derivative of -11*k**7/336 - 7*k**6/40 + 19*k**5/160 + 29*k**4/16 + 25*k**3/12 - 3*k**2/2 - 8*k - 7. Solve a(t) = 0.
-3, -2, -1, 2/11, 2
Suppose -4*u = 3*q - 41 - 25, u + 44 = 2*q. Suppose -q*t + 15 = -19*t. Determine b, given that 25*b**3 - t*b**4 - 45*b**3 - 2*b + 2*b = 0.
-4, 0
Let t be (-14*50/(-420) + (-14)/42)/((-16)/(-6)). Factor 35/2*h**3 + 416*h - 177*h**2 - 256 - t*h**4.
-(h - 16)**2*(h - 2)*(h - 1)/2
Let w(p) be the third derivative of p**7/315 - 49*p**6/36 + 487*p**5/90 - 27*p**4/4 + 84*p**2 + 22. Factor w(y).
2*y*(y - 243)*(y - 1)**2/3
Let c(w) be the third derivative of 49*w**6/72 - 959*w**5/180 + 1027*w**4/72 - 169*w**3/18 + 2320*w**2. Factor c(g).
(5*g - 1)*(7*g - 13)**2/3
Let m = -245444/7 + 35172. Let d = -108 + m. Suppose d*p - 4/7*p**3 - 2/7 + 2/7*p**2 = 0. Calculate p.
-1, 1/2, 1
Suppose -2738 + 2727 = -4*f - g, 2*f + 2 = 2*g. Determine l so that -2/9*l**f + 0 - 4/3*l = 0.
-6, 0
Let y be 12/38 - (-6918)/(-21907). Factor 4*l**2 - 6/7*l + y + 10/7*l**3.
2*l*(l + 3)*(5*l - 1)/7
Let p(c) be the second derivative of -12 + 17*c**2 + 1/30*c**5 + 2*c - 1/120*c**6 + 0*c**4 + 0*c**3. Let j(i) be the first derivative of p(i). Factor j(t).
-t**2*(t - 2)
Let c = 13784 - 13784. Let h(j) be the first derivative of -2*j**2 + 8/3*j**3 - j**4 + c*j - 11. Factor h(k).
-4*k*(k - 1)**2
Factor -8*y**2 - 16 + 196 - 606*y - 28.
-2*(y + 76)*(4*y - 1)
Let v(o) be the first derivative of 2*o**6/3 - 36*o**5/5 + 19*o**4 + 28*o**3 - 112*o**2 - 192*o - 1430. Find f, given that v(f) = 0.
-1, 3, 4
Let h(d) = -d**2 + d + 1. Let l be (8/(-10))/(26/(-455)). Suppose 0*c = 7*c + l. Let s(v) = 4*v**2 - 3*v - 2. Let a(u) = c*s(u) - 4*h(u). Factor a(m).
-2*m*(2*m - 1)
Suppose -4/3*l**4 - 85/3*l**2 + 71/6*l**3 - 28/3 - 1/6*l**5 + 82/3*l = 0. Calculate l.
-14, 1, 2
Let j(u) be the third derivative of 932*u**5/15 + 75*u**4/2 - 4*u**3/3 - 16*u**2 - 26*u. Suppose j(g) = 0. What is g?
-1/4, 2/233
Let q(h) be the second derivative of -2*h**2 + 0 - 1/3*h**3 + 1/40*h**5 + 1/12*h**4 - 84*h. Solve q(m) = 0 for m.
-2, 2
Let y(u) be the first derivative of 2*u**3/11 - 486*u**2/11 + 39366*u/11 + 1024. Factor y(q).
6*(q - 81)**2/11
Let o = 460681 - 460677. Solve -64/5 + 16/5*y**3 - 128/5*y + o*y**4 + 4/5*y**5 - 64/5*y**2 = 0.
-2, -1, 2
Let z(a) be the second derivative of 2*a + 5*a**2 - 3/4*a**5 - 5/3*a**4 + 11 + 5/6*a**3. Suppose z(h) = 0. Calculate h.
-1, 2/3
Solve 711/2*w**2 + 537/2*w - 57/2*w**3 - 105 - 21/2*w**4 = 0 for w.
-7, -1, 2/7, 5
Suppose 3*p + 3800 = 41*p. Suppose 31*z - 6*z - p = 0. Solve 3/4*q**2 - 1/4*q**3 - 1/4*q**5 - 3/4*q**z + 1/2*q + 0 = 0.
-2, -1, 0, 1
Let z = -39/62 - -1513/434. Let 0 + 16/7*f + 4/7*f**3 + z*f**2 = 0. What is f?
-4, -1, 0
Let y be (-2)/(-28)*42 + 1 + -3 + 1. Let 21*l - y - 121/4*l**3 - 99/2*l**2 = 0. Calculate l.
-2, 2/11
Let a = 177021 + -177018. Factor 1/4*c**4 + 0 - 13/2*c**a - 72*c + 48*c**2.
c*(c - 12)**2*(c - 2)/4
Let l = 98 + -94. Factor -42 - 3 - 120*k**2 + 96*k**3 - 66*k**3 + 130*k + 5*k**l.
5*(k - 1)**3*(k + 9)
Let l = 892 - 409427/459. Let a = 4283/459 + l. Let 16/15*g + 0 - 10/3*g**4 - 88/15*g**2 + a*g**3 = 0. What is g?
0, 2/5, 2
Let o be 0 - 1/(6/(-18)). Determine j, given that 8 + 9*j - 21*j**o - 30*j**2 - 33*j + 3*j**3 + 2*j**3 + 8*j**3 = 0.
-2, 1/4
Let p(f) be the first derivative of -1/60*f**6 - 3/10*f**3 + 2 + 0*f - 7/40*f**4 + 9/50*f**5 + 2/5*f**2. Solve p(v) = 0 for v.
-1, 0, 1, 8
Let v(h) be the first derivative of 4*h**3/3 - 404*h**2 + 1600*h + 340. What is t in v(t) = 0?
2, 200
Let m(t) be the first derivative of t**7/210 - t**6/30 + t**5/100 + 7*t**4/20 - 3*t**3/5 - 32*t - 7. Let h(p) be the first derivative of m(p). Factor h(v).
v*(v - 3)**2*(v - 1)*(v + 2)/5
Factor 7/4*h - 1/4*h**2 + 11.
-(h - 11)*(h + 4)/4
Let u(d) = -175*d + 19778. Let f be u(113). Factor 3/2*l**2 + f*l + 0.
3*l*(l + 2)/2
Let y(u) = -u**2 + 190*u + 93. Let x = -96 + 94. Let f(k) = 2*k**2 - 190*k - 94. Let s(v) = x*y(v) - 3*f(v). Find r such that s(r) = 0.
-1/2, 48
Let x(o) = -o**2 + 481*o - 7436. Let u be x(16). Suppose -5*j**3 - 6 - 20*j + 3/2*j**u - 41/2*j**2 = 0. What is j?
-1, -2/3, 6
Suppose 3*x + 558 = -5*y, -y + 3*x = 3*y + 441. Let t = y - -132. Factor 157*d**4 + t - 96*d + 1020*d**3 + 314*d**2 - 13 - 24*d + 421*d**4.
2*(d + 1)**2*(17*d - 2)**2
Let t = -28325916778/90718578041 - 2/34376119. Let n = -10/377 - t. What is v in 0*v + 22/21*v**2 - n*v**3 + 2/7*v**5 - 2/3*v**4 - 8/21 = 0?
-1, -2/3, 1, 2
Suppose -2870*n + 1545 = -3547 - 6388. Solve n*w**2 + 0 + 40/3*w - 4/3*w**3 = 0 for w.
-2, 0, 5
Let w(s) be the first derivative of -s**3/5 + 1176*s**2/5 - 460992*s/5 - 1942. Factor w(p).
-3*(p - 392)**2/5
Let t(g) be the second derivative of g - 1/270*g**6 + 0*g**2 - 11 + 2/45*g**5 + 1/108*g**4 - 4/27*g**3. Determine f, given that t(f) = 0.
-1, 0, 1, 8
Suppose 521 = -106*q + 733. Let r(v) be the first derivative of 2/5*v**5 + 16*v - 20*v**2 + 12*v**3 - q - 7/2*v**4. Factor r(b).
2*(b - 2)**3*(b - 1)
Suppose 0 = 4*s, 6 = 6*m - 3*m + s. Determine d, given that -5*d**m - d**2 - 3*d + 2*d**3 + 4*d**2 - d = 0.
-1, 0, 2
Let l(v) be the third derivative of 1/140*v**6 + 0*v**3 + 0 - 1/21*v**4 + 29*v**2 - 1/735*v**7 + 0*v**5 + 0*v. Find d, given that l(d) = 0.
-1, 0, 2
Let u(p) be the third derivative of -49*p**6/180 - 343*p**5/90 + p**4/9 + 28*p**3/9 - 2*p**2 + 187*p - 1. Find z, given that u(z) = 0.
-7, -2/7, 2/7
Let c(i) be the first derivative of -4*i**5/5 + 11*i**4 - 52*i**3 + 90*i**2 + 524. Let c(p) = 0. Calculate p.
0, 3, 5
Let k be (576/(-300))/((-42)/70). Let c(b) be the second derivative of 104/15*b**3 + k*b**2 + 169/30*b**4 + 0 - 8*b. Factor c(f).
2*(13*f + 4)**2/5
Let g(p) be the first derivative of -2*p + 2 - 2*p**2 + 2/5*p**5 + p**4 + 0*p**3. Factor g(j).
2*(j - 1)*(j + 1)**3
Let g be -7 + 49/7 - (25992/15)/(-3). Solve -152/5*t + 2/5*t**2 + g = 0.
38
Factor 100*i + 322 - 143 + 16*i**2 - 155.
4*(i + 6)*(4*i + 1)
Let c(q) = 11*q**2 - 4036*q - 3982. Let g(b) = -b**2 - 4*b -