 - 1. Let u(d) = -2*d**2 + 18*d - 15. Let k be u(8). Let n(z) = -7*z**2 + 6*z - 4. Let h(m) = k*n(m) - 4*x(m). Find b, given that h(b) = 0.
0, 2
Suppose 4*g + m = -22, 2*g - 1 = -2*m - 9. Let h be 0 + g/(-9)*2. Factor 4/3 + h*c**2 + 8/3*c.
4*(c + 1)**2/3
Let f be ((-1)/((-6)/36))/1. Factor 24*o - f*o**3 + 52*o**4 - 103*o**4 - 12*o**2 + 54*o**4.
3*o*(o - 2)**2*(o + 2)
Let p(v) = 4*v**4 - 20*v**3 - 6*v**2 + 22*v + 2. Let i(t) = -t - 8 + 5*t**2 + 7 - 4*t**2. Let j(l) = -2*i(l) - p(l). Factor j(n).
-4*n*(n - 5)*(n - 1)*(n + 1)
Let u(r) be the first derivative of 4*r**5/5 - 111*r**4 + 1116*r**3 - 2690*r**2 + 2472*r + 13850. Find c such that u(c) = 0.
1, 6, 103
Suppose -48*i = -174 - 114. Let l be 12/((-4)/1) + i. What is f in -8/3*f - 4*f**l + 2/3*f**4 + 0 + 6*f**2 = 0?
0, 1, 4
Determine g, given that 126/5 + 3/5*g**2 - 69/5*g = 0.
2, 21
Let z = -56745 - -56937. Factor 90 + 2/5*n**4 + z*n + 572/5*n**2 + 64/5*n**3.
2*(n + 1)**2*(n + 15)**2/5
Suppose 3*x - 4*k - 38 = 0, -11*x + 3*k - 9 = -15*x. Let d be (-35)/21*-1 + 2/x. Factor 0 - 3/4*m**d + 3/4*m.
-3*m*(m - 1)/4
Factor -111 - 166*v - 662*v + 127*v**2 - 57 + 395*v**2 - 13*v**3 - 20*v**3.
-3*(v - 14)*(v - 2)*(11*v + 2)
Let p(z) = -2*z**4 + 20*z**3 + 2*z**2 - 17*z. Let o(v) = 5*v**4 - 40*v**3 - 5*v**2 + 35*v. Let b = 5 + 0. Let t(d) = b*p(d) + 3*o(d). Factor t(l).
5*l*(l - 4)*(l - 1)*(l + 1)
Factor 45/2*q - 168 - 3/4*q**2.
-3*(q - 16)*(q - 14)/4
Let k(o) be the second derivative of 42*o - 12/7*o**4 + 576/7*o**3 + 1/70*o**5 - 13824/7*o**2 + 0. Factor k(a).
2*(a - 24)**3/7
Let x(b) = -6*b**2 + 404*b + 852. Let p(z) = -15*z**2 + 1011*z + 2130. Let l(a) = -5*p(a) + 12*x(a). Factor l(t).
3*(t - 71)*(t + 2)
Let j(a) be the second derivative of 7*a**6/195 - 3*a**5/130 - 63*a**4/26 + 153*a**3/13 - 162*a**2/13 + 2*a - 181. Let j(i) = 0. Calculate i.
-6, 3/7, 3
Determine x, given that 30538*x**2 - 30583*x**2 + 39*x**3 - 29*x + 35*x = 0.
0, 2/13, 1
Find g, given that -76236552/5 - 620223*g**3 - 301837158/5*g**2 + 304168284/5*g - 12/5*g**5 - 10572/5*g**4 = 0.
-294, 1/2
Let f be 0 + (22 - 1952/96). Factor -2/3*i**3 - 4/3*i + f - 11/3*i**2.
-(i + 1)*(i + 5)*(2*i - 1)/3
Suppose 30*l**2 - 582*l**5 + 37*l**3 + 585*l**5 + 15*l**4 - 63*l + 9*l**4 + 23*l**3 - 54 = 0. What is l?
-3, -2, -1, 1
Suppose -5*r + 4*j = -3, -6*j + 24 = 3*r - j. Let b be 144/42 - (-2 - (-17)/7). Determine u so that 3*u**3 - b*u + 2*u + u**4 - r*u = 0.
-2, 0, 1
Let d = 11553 - 11553. Let r(y) be the second derivative of -11/14*y**3 + d*y**2 - 24*y + 1/28*y**4 + 0. Factor r(o).
3*o*(o - 11)/7
Let s(x) = 29*x + 58. Let f be s(-2). Let k be (f + -1 - 0)*0. Solve 0*p + k*p**2 + 3/4*p**3 + 0 + 3/4*p**4 = 0 for p.
-1, 0
Solve -41*f + 53*f - 7990 - 5*f**4 + 7990 - 55*f**3 - 40*f**2 + 88*f = 0.
-10, -2, 0, 1
Let d(n) be the third derivative of -27/140*n**6 - 1/784*n**8 + 58*n**2 + 27/35*n**5 - 3/98*n**7 + 0*n**3 + 0 + 0*n + 81/7*n**4. Solve d(c) = 0 for c.
-6, 0, 3
Let u(h) be the third derivative of h**7/350 - 7*h**6/50 - 5*h**5/4 - 12*h**4/5 - 11155*h**2. Let u(g) = 0. What is g?
-3, -1, 0, 32
Let f(v) be the second derivative of v**7/112 - 39*v**6/80 - 387*v**5/80 - 133*v**4/8 - 45*v**3/2 + 486*v. Factor f(r).
3*r*(r - 45)*(r + 2)**3/8
Let q = -230635 + 1383811/6. Solve q*n**2 + 7 - 43/6*n = 0.
1, 42
Let b(o) = 632*o + 144730. Let r be b(-229). What is g in -2/9*g**4 + 4/3 - 10/9*g**3 - 10/9*g**r + 10/9*g = 0?
-3, -2, -1, 1
Let n(z) be the first derivative of -330 + 4/7*z**2 + 236/21*z**3 + 0*z. Find t, given that n(t) = 0.
-2/59, 0
Let n(j) = -j**2 - j. Let z(l) = 9*l**2 + 3*l + 6. Let r = -92 + 116. Let p(w) = r*n(w) + 3*z(w). Factor p(o).
3*(o - 3)*(o - 2)
Suppose -2*h - 5*u + 70 = 0, -4*u + 1243 - 1170 = 5*h. What is z in 3*z**h + 4/3 + z**2 - 7/3*z**4 - 29/3*z**3 + 20/3*z = 0?
-1, -2/9, 1, 2
Suppose -34*v - 9*v = -71 - 15. Let i(a) be the third derivative of 0 - 36*a**v + 1/18*a**3 - 1/36*a**4 + 1/180*a**5 + 0*a. Factor i(p).
(p - 1)**2/3
Let z(i) be the third derivative of -2*i**7/15 - 13*i**6/24 - 7*i**5/30 + i**4/3 - 9*i**2 - 113*i. Factor z(y).
-y*(y + 2)*(4*y - 1)*(7*y + 4)
Suppose 0 = 5*d - 58*v + 53*v - 30, -d - 30 = 5*v. Let h be 0/(0/1 + -1). Factor d + h*m + 1/3*m**4 + 2/3*m**2 - m**3.
m**2*(m - 2)*(m - 1)/3
Let j(l) be the second derivative of -55*l**3 - 189/4*l**4 + 0 - 47/10*l**6 - 282*l - 36*l**2 - 3/14*l**7 - 441/20*l**5. Determine w so that j(w) = 0.
-12, -1, -2/3
Let v(r) = r - 2. Let s(y) = -12 + 11*y - 5*y**2 + 3*y**2 + 0*y**2. Let j(i) = -2*s(i) + 6*v(i). Factor j(f).
4*(f - 3)*(f - 1)
Let n(c) be the second derivative of c**7/336 - 11*c**6/240 - c**5/2 + 75*c**4/8 + 275*c. Factor n(x).
x**2*(x - 10)**2*(x + 9)/8
Let v(h) be the second derivative of h**6/15 + 23*h**5/10 + 7*h**4/2 - 23*h**3/3 - 22*h**2 - h + 5250. Let v(s) = 0. Calculate s.
-22, -1, 1
Suppose m - 13*u - 104 = -m - 6*u, -3*u = 42. Suppose -2/3*o**4 - 2*o**2 + 8/3 + 10/3*o - 10/3*o**m = 0. What is o?
-4, -1, 1
Let s(w) be the third derivative of 0*w - 1 + 3*w**2 + 5/3*w**5 + 9/10*w**6 - 12*w**3 + 2/21*w**7 - 13/2*w**4. Let s(f) = 0. What is f?
-3, -2/5, 1
Let q = 40602 + -40599. Let u(c) be the first derivative of 3 + 1/12*c**q - 1/8*c**2 - 3/2*c. Let u(o) = 0. What is o?
-2, 3
Suppose 2*r - 4*y = 319 - 383, -2*r + y = 13. Determine v, given that 3/4*v**r + 15/8*v - 9/8 + 3/8*v**5 + 3/8*v**4 - 9/4*v**3 = 0.
-3, -1, 1
Suppose -8*t**3 - 422*t**2 + 3*t**4 + t**3 - 12*t**3 - 32*t - 4*t**4 + 372*t**2 = 0. What is t?
-16, -2, -1, 0
Let o = 1204/2355 - -209/2355. Solve 0*h + 27/5*h**3 - o*h**5 + 3*h**2 + 0 + 9/5*h**4 = 0.
-1, 0, 5
Let h(a) be the third derivative of a**7/1960 + a**6/210 + a**5/280 - 3*a**4/28 + 31*a**3/3 + 5*a**2. Let y(u) be the first derivative of h(u). Factor y(d).
3*(d - 1)*(d + 2)*(d + 3)/7
Let t(j) be the third derivative of 0*j + 92*j**2 + 0 + 1/30*j**5 - 1/120*j**6 + 5/24*j**4 - j**3. Factor t(n).
-(n - 3)*(n - 1)*(n + 2)
Let h(k) = -11*k**3 + 74*k**2 - 219*k - 6. Let r(z) = 120*z**3 - 815*z**2 + 2405*z + 65. Let y(x) = -65*h(x) - 6*r(x). Factor y(f).
-5*f*(f - 13)*(f - 3)
Suppose -25*j + 52*j - 1 - 345 = -146*j. Factor 16/5*h + 2/5*h**5 + 2/5*h**j - 2/5*h**4 + 8/5 - 2*h**3.
2*(h - 2)**2*(h + 1)**3/5
Let a(r) be the first derivative of r**5/35 - 81*r**4/4 - 1719*r**3/7 - 15525*r**2/14 - 15552*r/7 + 12449. Factor a(x).
(x - 576)*(x + 3)**3/7
Solve -3/8*b**4 + 279/4*b**3 - 6753/2*b**2 + 124215/8 + 48321/4*b = 0.
-1, 5, 91
Let p(x) = -x**3 + 4*x**2 - 84*x + 352. Let z be p(4). Find n such that -2*n**4 - 6*n**3 + 46/3*n**2 + z*n + 2/3*n**5 - 24 = 0.
-2, 1, 3
Let p = -4085 + 159271/39. Let q = 14/195 - p. Let 4/5 - 6/5*o**3 - 2/5*o**4 - 2/5*o**2 + q*o = 0. What is o?
-2, -1, 1
Let y(q) = -9*q**2 + 5556*q - 5523. Let o(k) = -8*k**2 + 5553*k - 5523. Let r(w) = -12*o(w) + 11*y(w). Factor r(d).
-3*(d - 1)*(d + 1841)
Factor -286*y**2 - 299*y**2 - 290 + 630*y**2 - 1295*y.
5*(y - 29)*(9*y + 2)
Suppose -69*n + 28 = -55*n. Let l(m) be the first derivative of -3/4*m**4 - 3*m**3 + 12*m - 32 + 0*m**n. Determine i, given that l(i) = 0.
-2, 1
Let h(t) be the third derivative of 0 + 1/50*t**6 + 1/15*t**4 - 1/525*t**7 + 73*t**2 + 0*t + 0*t**3 - 3/50*t**5. Solve h(u) = 0.
0, 1, 4
Suppose -510/7 + 87/7*t + 3/7*t**2 = 0. What is t?
-34, 5
Let s(i) = -i**2 + 13*i + 30. Let p be s(15). Let k be (-10)/6*(-253)/115 - 3. Factor p - 2/3*a + k*a**2.
2*a*(a - 1)/3
Let h be (490/3185)/(((-6)/26)/(-3)). Let s be (9/3)/(-9)*-6. Factor 906*t**4 + 2 + 5*t**3 - s - 896*t**4 - 25*t**h + 10*t.
5*t*(t - 1)*(t + 2)*(2*t - 1)
Let l be (18/(-24))/(13 + 2 + 17919/(-1188)). Factor l*m**2 + 10 - 39/2*m + 1/2*m**3.
(m - 1)**2*(m + 20)/2
Suppose 2*v - 7 = 3, 0 = -o - v + 9. Factor o*w**3 - 73*w**2 + 9*w - 19*w + 75*w**2 + 4.
2*(w - 1)*(w + 2)*(2*w - 1)
Let o = -32 + 34. Let h(d) be the first derivative of -d + 4*d**o + 11*d**2 - 2 + 181*d**3 - 2*d - 206*d**3. What is s in h(s) = 0?
1/5
Let r(h) be the first derivative of -h**5/28 + h**4/42 + 12*h - 4. Let v(d) be the first derivative of r(d). Suppose v(u) = 0. What is u?
0, 2/5
Let m(q) = 102*q**3 + 2100*q**2 - 1256*q + 176. Let l(d) = -101*d**3 - 2100*d**2 + 1248*d - 176. Let y(f) = 4*l(f) + 3*m(f). Suppose y(r) = 0. What is r?
-22, 2/7
Let t = -35891 - -35891. Let -34/5*i**3 + t - 6/5*i**4 - 42/5*i**2 + 18/5*i = 0. Calculate i.
-3, 0, 