 be z(7). Suppose -19 = -v*x + 49. Factor 0 + 6*s**2 + 12*s - 3/2*s**x - 3*s**3.
-3*s*(s - 2)*(s + 2)**2/2
Let m be 11/(-11) - 155/(-106). Let z = m - -2/53. Find o such that 7/4*o**2 + 1/4*o**5 + 5/4*o**4 + 9/4*o**3 + 0 + z*o = 0.
-2, -1, 0
Factor -69/7*i + 3/7*i**2 - 60.
3*(i - 28)*(i + 5)/7
Let m = 107 - 3736/35. Let x(n) be the first derivative of 0*n**2 - 1/14*n**6 + 0*n**3 + 0*n - 3/14*n**4 + m*n**5 + 19. Suppose x(l) = 0. What is l?
0, 1, 2
Suppose 3*w - 4*t + 16 = 6*w, 2*w + 2*t = 12. Suppose -182*s**3 - 1620*s**3 + w - 726*s**2 - 66*s - 10 - 860*s**3 = 0. What is s?
-1/11
Let 325*z**2 + 882*z + 807*z**2 + 40*z**4 - 106*z**2 + 284*z**3 - 186*z**2 + 10*z**5 - 8*z**5 = 0. Calculate z.
-7, -3, 0
Suppose -42/5*o**2 + 0 - 8*o - 2/5*o**3 = 0. Calculate o.
-20, -1, 0
Let v(m) be the second derivative of 0 - 308*m - 22/3*m**3 - 2/3*m**4 + 12*m**2. Factor v(p).
-4*(p + 6)*(2*p - 1)
Let u(o) be the first derivative of 2*o**5 + 105*o**4/4 + 305*o**3/3 + 90*o**2 - 180*o - 1873. What is l in u(l) = 0?
-6, -3, -2, 1/2
Suppose -31*c - 13 = -137. Let m(l) be the first derivative of 41/12*l**3 - 15/8*l**2 + 1/2*l - 3*l**c + l**5 - 3. Solve m(s) = 0 for s.
2/5, 1/2, 1
Let l(a) = -4*a**3 + 26*a**2 - 2*a - 1. Let n be l(6). Suppose d - 1 = -h, -5*d + 4*h = 18 - n. Factor -12/7*u**d - 39/7*u**2 - 45/7*u**4 - 9/7*u + 0 - 9*u**3.
-3*u*(u + 1)**3*(4*u + 3)/7
Factor -36/13 - 30/13*w**3 - 102/13*w**2 + 2/13*w**4 - 106/13*w.
2*(w - 18)*(w + 1)**3/13
Let s(v) = v**2 - 15*v + 70. Let h be s(8). Let -15*p**2 + p**4 + 3*p**3 - 2 - h + 17*p + 10 = 0. Calculate p.
-6, 1
Let b(z) be the first derivative of z**2/2 + 6*z - 15. Let i be b(-3). Factor -4*k**i - 4*k + 0*k + 10*k - 9*k**2 - 11*k**3.
-3*k*(k + 1)*(5*k - 2)
Let n(v) = -8*v**2 - v**3 - 15*v**2 + 18*v**2 + 5*v + 15. Let s be n(-6). Factor -9*b**3 + 12*b - 4*b**4 + 24*b**3 + 3*b**2 + s*b**2 + 7*b**4.
3*b*(b + 1)*(b + 2)**2
Let q(p) = 122523788*p**2 - 62588*p + 134. Let d(z) = -5*z**2 + 2*z + 9. Let o(n) = -28*d(n) + 2*q(n). Factor o(j).
4*(7827*j - 2)**2
Let f(x) be the second derivative of -2/9*x**4 - 3 + 0*x**2 - 4/9*x**3 - 1/30*x**5 + 4*x. Factor f(j).
-2*j*(j + 2)**2/3
Suppose 0 = -2*i - 2*o + 32, -i + 7 = -2*o - 9. Factor -8 + 10*x**2 - 2 - i*x + 2.
2*(x - 2)*(5*x + 2)
Let h(k) be the third derivative of -4/35*k**5 - 2/21*k**4 + 0*k + k**2 + 8/245*k**7 + 0*k**3 + 11 - 1/210*k**6 + 5/588*k**8. Solve h(i) = 0.
-2, -1, -2/5, 0, 1
Let w(d) = -d**2 - 7*d + 19. Let b be 22*-1 - 0/1. Let p(x) be the first derivative of x**2 - 5*x - 253. Let k(j) = b*p(j) - 6*w(j). Find f such that k(f) = 0.
-2/3, 1
Let c be (270/(-20) - -13) + 123/198. Let i(x) be the first derivative of 17 + c*x**3 + 0*x - 1/22*x**4 + 0*x**2. Find t, given that i(t) = 0.
0, 2
Let o = -221/15 - -226/15. Suppose 3*r - 5*s + 4 - 35 = 0, -5*s - 15 = 5*r. Factor -o*f**r - 2/3 - f.
-(f + 1)*(f + 2)/3
Let b(g) be the second derivative of 2*g**3 + 116*g + 0*g**2 - 11/3*g**4 - 3/10*g**6 - 43/20*g**5 + 0. Find w such that b(w) = 0.
-3, -2, 0, 2/9
What is p in 4*p**4 + 400*p**2 - 260/3*p**3 + 256 - 1840/3*p = 0?
2/3, 2, 3, 16
Let m(z) be the first derivative of 68 + z**4 - 2/5*z**5 + 0*z**2 - 2/3*z**3 + 0*z. What is v in m(v) = 0?
0, 1
Let r(t) be the first derivative of -37 - 3/5*t**2 + 0*t - 3/20*t**4 - 3/5*t**3. Factor r(u).
-3*u*(u + 1)*(u + 2)/5
Factor 25*k**3 - 744*k**2 - 657*k - 76*k**3 - 85*k + 23*k**3 + 26*k**3.
-2*k*(k + 1)*(k + 371)
Let d(g) be the second derivative of -53/3*g**3 + 0 + 12/5*g**6 - 9*g + 4*g**2 + 205/6*g**4 - 96/5*g**5. Determine i so that d(i) = 0.
1/6, 1, 4
Suppose -28*i**4 - 114*i**4 + 6*i**3 - 2*i**5 + 51*i**4 + 496*i + 748*i**2 - 78*i**4 - 79*i**4 = 0. Calculate i.
-124, -1, 0, 2
Let x = 42/12611 - -12359/75666. Factor -2/3*p + 4/3 + 2/3*p**4 - 5/3*p**2 + 1/6*p**3 + x*p**5.
(p - 1)**2*(p + 2)**3/6
Suppose 2*u = -3*f - 3, -5*u - f + 10 = 11. Let t(h) be the third derivative of 0 + 15*h**2 + u*h**4 - 1/180*h**5 + 0*h + 1/18*h**3. Factor t(d).
-(d - 1)*(d + 1)/3
Let k be 7604/44 + 28/154. Let z = 1917/11 - k. Find t such that -z*t**2 - 2/11*t**4 + 0 - 6/11*t - 10/11*t**3 = 0.
-3, -1, 0
Let k(b) = 8*b**2 - 16*b - 411. Let w(g) = 34*g**2 - 38*g - 1645. Let z(j) = -26*k(j) + 6*w(j). Factor z(n).
-4*(n - 51)*(n + 4)
Suppose -2215 = -241*y - 430*y + 228*y. Factor 29/2*a**4 + 1/4*a**y + 841/4*a**3 + 0*a**2 + 0*a + 0.
a**3*(a + 29)**2/4
Suppose -189 = -301*k + 90*k + 444. Let l(o) be the second derivative of -25/57*o**k - 5/38*o**4 + 0*o**2 - 1/285*o**6 + 0 - 9*o + 9/190*o**5. Factor l(n).
-2*n*(n - 5)**2*(n + 1)/19
Let u(d) be the third derivative of -25*d**8/1008 + 23*d**7/18 - 968*d**6/45 + 4478*d**5/45 + 2282*d**4/9 + 1960*d**3/9 - 58*d**2. Find w such that u(w) = 0.
-2/5, 5, 14
Suppose 226*i - 5 = 3*v + 221*i, 1 = 2*v + i. Let d(j) be the first derivative of -19 + 21/4*j**4 + 0*j**2 + v*j + 2*j**3 - 12/5*j**5. Solve d(c) = 0.
-1/4, 0, 2
Let d(n) be the first derivative of -3*n**4/4 - 102*n**3 - 3744*n**2 + 16224*n - 1597. Let d(u) = 0. Calculate u.
-52, 2
Let m be 31 - (-142 - 3)/(-5). Suppose t**m + 0 + 1/4*t**3 + t = 0. Calculate t.
-2, 0
Let f(p) = p**2 + 7*p - 25. Let i(b) = -5*b**2 + 1020*b + 150. Let s(w) = 6*f(w) + i(w). Let s(l) = 0. Calculate l.
-1062, 0
Let w(b) = -b**2 + 5*b + 11. Let s be w(6). Suppose -10*m + 25 = -25. Suppose m + 2*q**4 - 8*q**2 - 1 + 7*q**4 - s*q**4 = 0. What is q?
-1, 1
Let d(u) = -u**4 - u**2. Let h(y) = -1886*y**2 - 60*y**3 + 7*y**4 + 1888*y**2 - y**4. Let g(q) = 2*d(q) + h(q). Factor g(n).
4*n**3*(n - 15)
Let p(s) = -s**3 - 50*s**2 + 49*s - 98. Let j be (-1 - 18)*3 - -6. Let g be p(j). Let 0*q - 8/3*q**2 + 0 + 32/3*q**3 - 10*q**g = 0. What is q?
0, 2/5, 2/3
Let h(v) = -445*v + 108. Let o be h(-4). Let j = o + -1884. Let -8/9*d**3 - 8/9*d + 4/3*d**2 + 2/9 + 2/9*d**j = 0. What is d?
1
Let r(i) be the first derivative of i**5/5 - i**3 - i**2 + 180. Factor r(q).
q*(q - 2)*(q + 1)**2
Factor -2717370086560/11*f - 7527340960/11*f**2 - 392388240499264/11 - 2/11*f**5 - 7220/11*f**4 - 10425680/11*f**3.
-2*(f + 722)**5/11
Let f(u) = 13*u - 89. Let p be f(7). Suppose -187 - 34*i + 187 + 2*i**p = 0. What is i?
0, 17
Let r = -57895/2 + 28948. Suppose r*t**2 + 9/2 - 3*t = 0. What is t?
3
Suppose -121 = v - 123. Suppose 13*n**2 - 12 + n**5 - v*n - 5*n**4 + 4 - 7*n**5 + 7*n**5 + n**3 = 0. What is n?
-1, 1, 2, 4
Factor -415 - 3563*i**2 + 674*i + 0*i**3 + 1303 + 1662*i**2 + 1685*i**2 - 2*i**3.
-2*(i - 4)*(i + 1)*(i + 111)
Let l(q) be the first derivative of q**5/100 - 3*q**4/20 + 4*q**3/5 + 18*q**2 - 19. Let p(t) be the second derivative of l(t). Factor p(s).
3*(s - 4)*(s - 2)/5
Let p(r) be the first derivative of 0*r**3 + 0*r + 60 + 0*r**2 + 5/24*r**6 + 15/8*r**4 + 5/4*r**5. Find a such that p(a) = 0.
-3, -2, 0
Let u(w) be the first derivative of -w**5 - 20*w**4 - 50*w**3/3 + 180*w**2 - 225*w + 1844. Factor u(z).
-5*(z - 1)**2*(z + 3)*(z + 15)
Let f(r) be the second derivative of -11*r**7/84 + 2*r**6 + 11*r**5 + 245*r**4/12 + 65*r**3/4 + 7*r**2/2 - 1105*r. Let f(p) = 0. Calculate p.
-1, -1/11, 14
Let f(u) be the first derivative of -4*u**3/3 + 5376*u**2 + 10756*u - 3115. Let f(r) = 0. Calculate r.
-1, 2689
Suppose 3/5*p**3 - 48/5*p + 0 + 0*p**2 = 0. Calculate p.
-4, 0, 4
Let z(t) be the first derivative of -20*t - 123 + 8*t**2 + 4/3*t**3. Factor z(j).
4*(j - 1)*(j + 5)
Suppose -19242/7*n + 108*n**4 + 7236/7 + 6/7*n**5 + 17544/7*n**2 - 900*n**3 = 0. Calculate n.
-134, 1, 3
Let n be ((-3)/(-15))/(221/1261) - 11/(-187). Find f, given that 2/5*f**4 + 4/5*f**3 - 8/5 - 16/5*f - n*f**2 = 0.
-2, -1, 2
Let k be 3 + -4 + 561/(-44). Let i = k + 16. Factor -3*b + 3/4*b**2 + i.
3*(b - 3)*(b - 1)/4
Suppose 6*j + 520 = -4*j. Let n = 582/11 + j. Factor 0*d + 0 - 2/11*d**3 + n*d**2.
-2*d**2*(d - 5)/11
Factor -173*b**3 - 179*b**3 - 5*b**4 - 55494*b**2 + 55146*b**2 + b**4.
-4*b**2*(b + 1)*(b + 87)
Suppose t - 5*i = 21, 3*i - 1 = -3*t + 7*t. Let z be (690/(-15) - t)*3/(-5). Factor z*p**2 + 9/5*p**4 - 57/5*p**3 - 108/5*p + 24/5.
3*(p - 2)**3*(3*p - 1)/5
Suppose -226 = -6*m + 122. Let s = m + -518/9. Factor 0 + s*r**2 + 2/3*r - 2/9*r**3.
-2*r*(r - 3)*(r + 1)/9
Suppose -76*w + 12 + 140 = 0. Let -1/7*s**4 - 3/7*s**3 - 2/7*s**w + 0 + 0*s = 0. What is s?
-2, -1, 0
Let v(k) be the first derivative of -k**6/6 - 3*k**5/5 + k**4/2 + 2*k**