5 + 3/8*p**3 + 1/56*p**7 + 1/8*p**4 + 0*p**6. Let g(j) = 0. What is j?
-2, -1, 1
Let f(k) = 5*k + 89. Let q be f(-17). Factor -q*s**2 - 11*s - 3 + 4*s**3 - 10*s + s - 9.
4*(s - 3)*(s + 1)**2
What is x in 4*x**2 - 53/5*x + 34/5 - 1/5*x**3 = 0?
1, 2, 17
Let h(i) = 13*i**2 - 101*i + 18. Let c be h(12). Suppose 18*b + 642 = c. Find v, given that 0*v - 2/5*v**4 - 1/5*v**5 + 1/5*v**3 + 2/5*v**b + 0 = 0.
-2, -1, 0, 1
Let j(z) be the first derivative of 2*z**6/15 - 3*z**5/10 + z**3/3 - 48*z - 23. Let a(c) be the first derivative of j(c). Factor a(n).
2*n*(n - 1)**2*(2*n + 1)
Let o(r) = -23*r**4 - 76*r**3 - 1444*r**2 + 11*r - 11. Let g = -556 + 554. Let k(x) = -2*x**4 + x - 1. Let h(n) = g*o(n) + 22*k(n). Solve h(m) = 0.
-38, 0
Factor 0 - 10*r**2 - 1/2*r**5 - 4*r - 9*r**3 - 7/2*r**4.
-r*(r + 1)*(r + 2)**3/2
Let z be (-2 + 360/234)/((-20)/845). Determine w so that 1521/4 + 1/4*w**2 + z*w = 0.
-39
Let q(g) = 14*g**3 + 542*g**2 - 1022*g - 288. Let b(w) = -w**3 - 3*w**2 - 3*w. Let z(o) = 2*b(o) - q(o). Factor z(l).
-4*(l - 2)*(l + 36)*(4*l + 1)
Suppose -4*w = 8, 4*q - 14*w - 376 = -18*w. Suppose q*o = 94*o. Solve -4/7*z**3 - 4/7*z**2 + 0*z + o = 0.
-1, 0
Let d(w) be the second derivative of -w**7/420 + 29*w**6/300 - 13*w**5/25 + 5*w**4/6 - 1932*w. Factor d(y).
-y**2*(y - 25)*(y - 2)**2/10
Suppose 4*x + 23 - 8 = 5*l, -18 = 3*x + 3*l. Let d(v) = 4*v**2 - v - 3. Let h(r) = r**2 - 2*r + 1. Let k(s) = x*h(s) + d(s). What is o in k(o) = 0?
1, 8
Let r(k) = k**3 + 14*k**2 + k + 1. Let s(w) = -43*w**3 + 1233*w**2 + 2667*w + 1352. Let g(n) = -3*r(n) - s(n). Factor g(m).
5*(m + 1)**2*(8*m - 271)
Let l(m) be the first derivative of 2*m**5/45 - m**4/9 - 314*m**3/27 - 154*m**2/9 - 11792. What is g in l(g) = 0?
-11, -1, 0, 14
Let 180*l**2 - 20*l**4 - 3179*l + 3107*l + 242*l**3 - 28*l**5 + 18*l**3 = 0. Calculate l.
-3, -1, 0, 2/7, 3
Let o(f) be the first derivative of 4*f**5/5 - 25*f**4 - 4*f**3 + 154*f**2 - 200*f - 6054. Factor o(p).
4*(p - 25)*(p - 1)**2*(p + 2)
Let z(v) be the second derivative of 1/39*v**3 - 3/13*v**2 + 11/78*v**4 - 73*v + 0 + 7/130*v**5. Suppose z(y) = 0. What is y?
-1, 3/7
Let v(l) be the second derivative of 0*l**4 - 2/63*l**7 + 4/15*l**5 - 2 + 44*l + 0*l**2 + 0*l**6 + 0*l**3. Factor v(d).
-4*d**3*(d - 2)*(d + 2)/3
Let s(q) be the third derivative of q**6/60 + 31*q**5/6 + 1558*q**4/3 + 5776*q**3 + 4*q**2 - 16*q. Find z, given that s(z) = 0.
-76, -3
Let c(b) be the third derivative of 0*b + 15*b**2 + 1/135*b**5 + 0*b**3 + 0 - 1/540*b**6 - 1/108*b**4. Solve c(n) = 0 for n.
0, 1
Let d(l) be the third derivative of l**8/336 - l**7/15 - 3*l**6/10 + 31*l**5/30 + 35*l**4/24 - 8*l**3 + 41*l**2. Solve d(g) = 0.
-3, -1, 1, 16
Let h(i) = -3*i**2 + 10. Let b be h(2). Let f be ((-78)/(-5) + -15)/(b/(-10)). Determine k, given that -9/8*k**5 + 0 + 9/8*k**f + 3/8*k**4 - 3/8*k**2 + 0*k = 0.
-1, 0, 1/3, 1
Suppose 40*h + 132 = 39*h. Let k = h + 134. Suppose -2/13*r**k + 24/13*r - 72/13 = 0. What is r?
6
Let n(a) be the first derivative of -a**4/10 + 844*a**3/15 + 847*a**2/5 + 848*a/5 - 7565. Factor n(b).
-2*(b - 424)*(b + 1)**2/5
Let i(j) = -4*j**2 + 12224*j + 1860620. Let c(v) = v**2 - 2445*v - 372125. Let w(k) = -24*c(k) - 5*i(k). Solve w(f) = 0.
-305
Let n(v) be the second derivative of 0*v**2 + 0 - 80*v + 1/42*v**4 - 1/105*v**6 + 5/21*v**3 - 1/14*v**5. Solve n(i) = 0.
-5, -1, 0, 1
Suppose 96*p + 608 = 128*p. Let f(n) = 13*n - 242. Let b be f(p). Determine m so that -m**4 + m**2 + 0*m + 0 - 1/3*m**b + 1/3*m**3 = 0.
-3, -1, 0, 1
Suppose 0 = 5*r - 5*j - 5, 0*j + 13 = 5*r - 3*j. Suppose -13 = -2*m + 13. Factor -30*c**4 - 50*c**3 + m*c**3 - 20*c**2 + 82*c**3 + 5*c**r.
5*c**2*(c - 4)*(c - 1)**2
Let w = 80 + -78. Suppose w*i + 8 = 6*i. Let 26 + 0*t + 2*t**i - 24*t + 46 = 0. What is t?
6
Let f(s) be the second derivative of s**4/4 + 15*s**3/2 + 66*s**2 - 1879*s + 2. Suppose f(c) = 0. What is c?
-11, -4
Let o(n) be the second derivative of n**6/135 + 16*n**5/15 + 1052*n**4/27 - 3200*n**3/9 + 10000*n**2/9 - 30*n - 1. Let o(i) = 0. Calculate i.
-50, 2
Suppose 2*w - 3*w = -32. Suppose 0 = h - 5*h + w. Solve 4*l**2 + 4*l**3 - 5*l + 4 - 15*l + h = 0.
-3, 1
Let c(u) = -666 - 464 + 351*u - 181*u - 177*u - 106*u. Let f be c(-10). What is w in -2*w + 5/2*w**2 + f - 1/2*w**3 = 0?
0, 1, 4
Suppose -2*y - 2*u + 16 = 0, 751*y + 4*u = 753*y + 20. Let n(q) = -q**2 + 17*q. Let z be n(15). Factor z*d - 150*d**y - 3/2.
-3*(10*d - 1)**2/2
Let u(d) be the third derivative of -1/210*d**7 + 2/3*d**3 - 1/24*d**6 + 1/336*d**8 + 8*d**2 + 1/3*d**4 + 1/60*d**5 - 2*d + 0. Determine c, given that u(c) = 0.
-1, 2
Let r be 1/(-1) + (47 - 34) + -10. Factor -3/4*u**r + 23/4 + 17*u.
-(u - 23)*(3*u + 1)/4
Let k(y) be the first derivative of y**6/40 + 9*y**5/20 + 27*y**4/8 + 27*y**3/2 + 36*y**2 + 4. Let x(s) be the second derivative of k(s). Factor x(r).
3*(r + 3)**3
Let m(d) be the second derivative of -85/6*d**4 - 1/5*d**6 - 31/10*d**5 + 0*d**2 - 4*d - 25/3*d**3 - 7. Factor m(u).
-2*u*(u + 5)**2*(3*u + 1)
Let d(y) be the third derivative of y**8/5600 - 2*y**7/525 + 15*y**4/8 - 54*y**2. Let n(o) be the second derivative of d(o). Suppose n(r) = 0. What is r?
0, 8
Factor -440*y - 5084/7*y**2 - 400/7 + 3362/7*y**3.
2*(y - 2)*(41*y + 10)**2/7
Suppose 31 = -p + 34. Factor -27*z**2 - 494 + p*z**3 + 494.
3*z**2*(z - 9)
Suppose 3*g = q - 2 + 1, -5*g = 4*q - 21. Suppose 166*p + 33*p = -58*p + 190 + 581. Find n such that 12/11*n - 8/11*n**p + 0 + 2/11*n**q + 2/11*n**2 = 0.
-1, 0, 2, 3
Let c(b) = -995*b - 17910. Let f be c(-18). Factor 2/15*u**4 - 8/5*u**2 + 0 + 32/15*u + f*u**3.
2*u*(u - 2)**2*(u + 4)/15
Let m(o) be the third derivative of 0*o**3 + 0*o - 1/10*o**5 - 1/12*o**4 - 1/80*o**6 - 256*o**2 + 1/84*o**7 + 0. Factor m(s).
s*(s - 2)*(s + 1)*(5*s + 2)/2
Let b(t) = 25*t**3 + 488*t**2 + 3161*t + 2650. Let w(n) = 20*n**3 + 490*n**2 + 3160*n + 2650. Let c(m) = -5*b(m) + 6*w(m). Determine r so that c(r) = 0.
-5, -1, 106
Let y be (-12238)/(-1554) + (-1602)/88911. Suppose y*l**3 + 1/7*l**5 + 0 - 75/7*l**2 + 0*l - 13/7*l**4 = 0. Calculate l.
0, 3, 5
Let l(a) be the second derivative of 1/90*a**5 - 8/3*a**2 - 5/27*a**4 + 28/27*a**3 + 101*a + 0. Factor l(n).
2*(n - 6)*(n - 2)**2/9
Let i(z) be the third derivative of -z**8/2520 - 2*z**7/1575 + z**6/300 + 2*z**5/225 - z**4/45 + 3*z**2 + 317*z. Determine s so that i(s) = 0.
-2, 0, 1
Let i(c) = -c**3 + 13*c**2 - 25*c - 31. Let r be i(10). Solve 3*g**2 - 99*g - 7 + 32 - r + 90 + 0*g**2 = 0 for g.
1, 32
Let d(x) be the first derivative of -x**5 + 5/3*x**3 + 5*x**4 + 0*x - 10*x**2 - 61. Solve d(g) = 0 for g.
-1, 0, 1, 4
Let y be (1259/4)/((-630)/8) + -47 + 51. Let u(h) be the third derivative of 0*h**4 - y*h**7 + 1/90*h**6 + 0 + 0*h + 9*h**2 - 1/90*h**5 + 0*h**3. Factor u(k).
-2*k**2*(k - 1)**2/3
Let n be (27/(-6))/((-107)/52 + 2). Factor 3*j - 14*j**3 + 11*j**3 - 78*j**2 + n*j**2.
-3*j*(j - 1)*(j + 1)
Let x(q) = q**2 + q. Let h(m) be the third derivative of -m**5/60 - m**4/8 + 8*m**3/3 + 40*m**2. Let o(j) = -2*h(j) + 2*x(j). Factor o(y).
4*(y - 2)*(y + 4)
Suppose 7/3*y**3 - 7/6*y**2 - 13*y + 0 - 1/6*y**4 = 0. Calculate y.
-2, 0, 3, 13
Let r(s) = 386*s**2 - 1294*s - 76. Let d(f) = 126*f**2 - 431*f - 25. Let x(u) = 16*d(u) - 5*r(u). What is g in x(g) = 0?
-2/43, 5
Let r(p) be the third derivative of 10/9*p**3 + 0*p + 5/9*p**4 - 5/126*p**7 + 0 + 1/36*p**5 - 7/72*p**6 - 90*p**2 - 5/1008*p**8. Determine c so that r(c) = 0.
-2, -1, 1
Let b(o) be the third derivative of o**5/210 + 13*o**4/21 + 64*o**3/7 - 7355*o**2. Factor b(k).
2*(k + 4)*(k + 48)/7
Let q(i) be the second derivative of 2*i**7/21 + 242*i**6/3 + 91203*i**5/5 - 30603*i**4 - 2*i + 7. Factor q(x).
4*x**2*(x - 1)*(x + 303)**2
Let v(a) = 21*a**2 + 545*a + 1541. Let p(k) = -138*k**2 - 3543*k - 10014. Let m(w) = -5*p(w) - 33*v(w). Factor m(t).
-3*(t + 3)*(t + 87)
Let s be (-2)/(4/72 - 380/360). Factor -s*z - 2/7*z**2 - 24/7.
-2*(z + 3)*(z + 4)/7
Let g = -714 - -721. Let a(n) = 3*n - 21. Let k be a(g). Factor 3/5*l**4 - 6/5*l**2 + 3/5*l**3 + 0*l + k.
3*l**2*(l - 1)*(l + 2)/5
Factor 52*j**2 - 12*j**3 - 42*j**2 + 3*j**4 + 0*j**4 + 6*j**4 - 7*j**4.
2*j**2*(j - 5)*(j - 1)
Let s be 0 + (90/(-54) - (-60)/9). Let k(c) be the second derivative of s*c + 0 + 0*c**2 - 1/3*c**3 + 1/18*c**4. Factor k(a).
2*a*(a - 3)/3
Let f be 152/(-427