*3 - 46*b**2 + 1 + 3/22*b**4 - 7/330*b**5 + 0*b. Find d such that h(d) = 0.
4/7, 2
Suppose 95*o - 317 = 18*o + 145. Suppose -3/4*g**5 - 15/2*g**2 + o - 3*g + 3/2*g**4 + 15/4*g**3 = 0. Calculate g.
-2, -1, 1, 2
Let y(r) be the first derivative of -2*r**3/3 - 78*r**2 - 154*r - 494. Determine j so that y(j) = 0.
-77, -1
Let q(z) = -8*z**2 + 108*z + 396. Let a be q(-3). Find i such that a + 1/7*i**2 - 2*i = 0.
0, 14
Let h(i) = 2*i + 16. Let l be h(-7). Factor 17*m + 22 - 7*m + l + 10*m + 4*m**2.
4*(m + 2)*(m + 3)
Suppose -1797*h**4 - 1792*h**4 - 325*h**3 + 34*h**3 - 1716*h**2 - 3321*h - 1890 + 3583*h**4 = 0. Calculate h.
-42, -3, -5/2, -1
Let p(t) = 20*t**2 + 16*t - 196. Let a(n) = n**2 - 7*n - 33. Let k be a(10). Let y(u) = -4*u**2 - 3*u + 39. Let x(r) = k*p(r) - 16*y(r). Factor x(q).
4*(q - 3)*(q + 3)
Suppose -23 + 33 = -10*w. Let h be (-4)/((-112)/w)*-4. Find f such that 1/7*f**4 + 16/7 - 8/7*f**2 + 16/7*f - 8/7*f**3 + h*f**5 = 0.
-2, -1, 2
Let m = -770 + 826. Let n be m/350*(-15)/(-6). Suppose -2/5*v + 0 + 2/5*v**4 + n*v**3 - 2/5*v**2 = 0. What is v?
-1, 0, 1
Let d(u) = -u**2 + 8*u + 51. Let g(x) = 31*x + 58. Let o be g(-2). Let h be d(o). Let 5/2*y**h + 0*y + 2*y**2 + 1/2*y**4 + 0 = 0. What is y?
-4, -1, 0
Suppose 0*c + 0 + 1/3*c**3 - 1/3*c**2 = 0. What is c?
0, 1
Determine w so that -2/9*w**5 - 107200/3*w - 64000 - 54970/9*w**2 - 626/3*w**3 + 18*w**4 = 0.
-5, 48
Let f(v) be the first derivative of 4*v**3/3 + 92*v**2 - 188*v - 1651. Solve f(l) = 0.
-47, 1
Let c(r) be the first derivative of r**4/4 - 2*r**3 + 11*r**2/2 + 6*r - 11. Let u be c(10). Factor u + 6*v + 3*v**2 - 516.
3*v*(v + 2)
Let d(o) be the third derivative of -o**8/216 - 19*o**7/945 - o**6/45 - 1591*o**2. Solve d(p) = 0 for p.
-12/7, -1, 0
Suppose -1240 = -5*q - 5*i - 1260, 0 = -2*q - 3*i - 15. Factor 80/7*v**2 - 66/7*v**q + 0 - 32/7*v - 2/7*v**5 + 20/7*v**4.
-2*v*(v - 4)**2*(v - 1)**2/7
Suppose 28 = 3*t + 16. Let n be (28 - 3/3) + -2. Let 26*j**2 + n*j**3 + 2 + t*j**4 + 2 + 16*j**2 + 25*j = 0. What is j?
-4, -1, -1/4
Let b(h) be the third derivative of h**6/120 + 3*h**5/5 - 73*h**4/8 - 287*h**3/3 + 8139*h**2. Determine s, given that b(s) = 0.
-41, -2, 7
Let w(u) be the second derivative of 2 - 16/15*u**3 + 50*u - 1/30*u**4 + 2/25*u**5 + 4/5*u**2. Solve w(c) = 0 for c.
-2, 1/4, 2
Let a(o) be the third derivative of o**6/420 - 4*o**5/315 - o**4/36 + 4*o**3/21 + 758*o**2. Factor a(p).
2*(p - 3)*(p - 1)*(3*p + 4)/21
Let m(d) be the first derivative of 2*d**5/45 + d**4/6 - 8*d**3/27 - 4*d**2/3 - 7889. Factor m(f).
2*f*(f - 2)*(f + 2)*(f + 3)/9
Let h(i) = 5*i + 18 - i**3 - 5 - 17 + i**2. Let b be h(2). Solve -6/7*r + 2/7*r**b + 4/7 = 0 for r.
1, 2
Let r be (-252)/1638 + (-114)/(-234). What is d in -r*d**5 - 1/3*d**3 - 2/3*d**4 + 0*d + 0*d**2 + 0 = 0?
-1, 0
Determine b, given that 26*b**3 + 0*b**2 - 28*b - 7*b**2 - 104623*b**4 + 2*b**5 + 20 + 104610*b**4 = 0.
-1, 1, 2, 5/2
Let u(s) be the second derivative of 2*s**7/21 - 10*s**6 + 2054*s**5/5 - 24244*s**4/3 + 71632*s**3 - 170368*s**2 - 32*s - 45. Find b, given that u(b) = 0.
1, 8, 22
Let p(g) be the third derivative of g**3 + 1/40*g**5 - 1/4*g**4 + 0*g - 21*g**2 + 0. Factor p(j).
3*(j - 2)**2/2
Let i(b) be the first derivative of b**9/3024 + b**8/700 + 3*b**7/1400 + b**6/900 - 55*b**3/3 - 33. Let c(x) be the third derivative of i(x). Factor c(d).
d**2*(d + 1)**2*(5*d + 2)/5
Let g(a) be the second derivative of -4/15*a**3 + 7/60*a**4 + 0 + 1/20*a**5 + 68*a - 2/5*a**2. Factor g(n).
(n - 1)*(n + 2)*(5*n + 2)/5
Let d(h) be the first derivative of 2*h**6/3 - 4*h**5/5 - 11*h**4 - 28*h**3/3 + 20*h**2 + 32*h + 1481. Let d(x) = 0. What is x?
-2, -1, 1, 4
Let d be 59/((-1239)/14)*1/(-2). Let h(m) be the second derivative of 0 + 4*m**2 + 5*m - 2/3*m**4 - d*m**3 + 1/10*m**5. Factor h(c).
2*(c - 4)*(c - 1)*(c + 1)
Suppose 1 = 3*t + b + 3*b, t = 5*b + 13. Factor 5*o**5 + 20*o**t + 14*o**4 - 3*o**5 - 30*o**4 - 8*o**2 + 2*o**5.
4*o**2*(o - 2)*(o - 1)**2
Let c = -31284 + 31286. Factor 46/15*k - 16/15 + 2/5*k**c.
2*(k + 8)*(3*k - 1)/15
Suppose 259*w = -56*w. Suppose -3/4 - 7/8*v + 1/8*v**3 + w*v**2 = 0. Calculate v.
-2, -1, 3
Let t(b) = 4*b**2 - 35*b - 24. Let p(f) = 5*f**2 - 36*f - 21. Let w(v) = -3*p(v) + 4*t(v). Solve w(s) = 0.
-1, 33
Let p(z) = -z**3 + 6*z**2 - 1. Let d be p(6). Let l(c) = 10*c**2 - 2*c - 4. Let u(q) = 4*q**2. Let n(s) = d*l(s) + 2*u(s). Let n(m) = 0. What is m?
-1, 2
Suppose 0 = -2588*k + 2431*k + 471. Let l(o) be the second derivative of 1/15*o**5 + 7/3*o**2 + 2/3*o**k - 5/6*o**4 + 0 - 15*o. Factor l(d).
2*(d - 7)*(d - 1)*(2*d + 1)/3
Let i(q) be the first derivative of -3*q**5/5 - 72*q**4 - 3162*q**3 - 57660*q**2 - 268119*q + 2938. Factor i(j).
-3*(j + 3)*(j + 31)**3
Let p(r) be the third derivative of -144*r**2 + 0*r - 9/4*r**5 + 0*r**3 + 5/12*r**4 + 0 + 27/8*r**6. Factor p(b).
5*b*(9*b - 2)*(9*b - 1)
Let v(m) be the third derivative of -17*m**5 + 512/3*m**3 - 2/105*m**7 + 0*m + 16/3*m**4 + 0 - 275*m**2 - 16/15*m**6. Factor v(o).
-4*(o - 1)*(o + 1)*(o + 16)**2
Let r be (2132 + (-4 - -7))/(-1). Let l = -2135 - r. Factor -3*q**3 + l*q**2 + 3/2*q + 3/2*q**5 + 0*q**4 + 0.
3*q*(q - 1)**2*(q + 1)**2/2
Suppose -4*u + 350 = 3*u. Let d be (2 - 14/6)*(8 - u). Factor -2*m**4 - 9*m**3 + 25*m**3 + 4*m**4 - d*m**3.
2*m**3*(m + 1)
Suppose 0 = k - 4 + 2. Suppose -66 = -12*t - 21*t. Factor 99*a**2 - 3*a - 97*a**t + 5*a - k*a**4 - 2*a**3.
-2*a*(a - 1)*(a + 1)**2
Suppose 115 - 293 = -89*k. Let a(f) be the first derivative of 0*f + 0*f**k + 2/25*f**5 + 8/15*f**3 - 8 - 2/5*f**4. Solve a(d) = 0 for d.
0, 2
Factor 139*n**3 + 2*n**2 + 0*n**4 - n**5 - 138*n**3 - 2*n**4.
-n**2*(n - 1)*(n + 1)*(n + 2)
Suppose 5*f - 2 - 13 = 0. Factor -15*n**f + 6 + 23*n**3 + 4*n**4 - 8*n - 10.
4*(n - 1)*(n + 1)**3
Let y(k) be the third derivative of k**6/160 - k**5/5 - 85*k**4/32 + 25*k**3/2 + 251*k**2 + 3*k. Factor y(i).
3*(i - 20)*(i - 1)*(i + 5)/4
Let x(m) be the second derivative of -m**5/60 + 151*m**4/9 - 15400*m**3/3 + 60000*m**2 - 1898*m + 1. Factor x(l).
-(l - 300)**2*(l - 4)/3
Let g = 195 - 168. Determine q so that 0*q**2 + g + 23 + 3*q - 3*q**2 - 14 = 0.
-3, 4
Let w(p) be the third derivative of -11*p**7/210 + 7*p**6/20 + 17*p**5/12 - 4*p**4 - 10*p**3/3 + 37*p**2 - 2. Let w(t) = 0. Calculate t.
-2, -2/11, 1, 5
Let i(u) = u**2 + 21*u + 83. Let a be i(-16). Let v(h) = -2*h**2 + 12*h + 14. Let w(c) = 4*c**2 - 24*c - 28. Let m(x) = a*w(x) + 5*v(x). Factor m(y).
2*(y - 7)*(y + 1)
Let u(b) be the first derivative of -b**4/6 + 1244*b**3/9 - 1240*b**2/3 - 8049. Factor u(y).
-2*y*(y - 620)*(y - 2)/3
Let c(d) be the first derivative of 2*d**3/3 - d**2/2 + 10. Let x be c(-1). Solve -14*j + 8*j - 2*j**2 - 10*j**2 + x*j**3 - 9*j = 0.
-1, 0, 5
Let l = -1164 - -1176. Suppose 15/4*w**2 - 1/4*w**3 + 11 - l*w = 0. Calculate w.
2, 11
Let x(b) be the first derivative of -b**5/90 + b**3/27 - 77*b + 178. Let u(l) be the first derivative of x(l). Find o such that u(o) = 0.
-1, 0, 1
Let k(x) be the third derivative of x**6/24 - 13*x**5/6 + 30*x**4 + 436*x**2. Let k(o) = 0. What is o?
0, 8, 18
Let b(g) be the first derivative of -4/15*g**3 + 30 + 36/5*g**2 - 324/5*g. Determine o so that b(o) = 0.
9
Suppose 3*b - g + 1 = 0, 5*b + 5*g - 41 = 2*b. Let 169/7 + 27/7*i**b - 1/7*i**3 - 195/7*i = 0. What is i?
1, 13
Let g(b) be the second derivative of -b**7/1680 + b**6/360 + b**5/60 - b**4/6 + 5*b**3/6 + 60*b. Let t(q) be the second derivative of g(q). Factor t(a).
-(a - 2)**2*(a + 2)/2
Let g(h) be the second derivative of 7*h**5/120 + 43*h**4/24 + 2*h**3 - 30*h**2 - 76*h + 1. Let m(z) be the first derivative of g(z). Factor m(i).
(i + 12)*(7*i + 2)/2
Let z(n) be the first derivative of -1/21*n**3 + 0*n**2 - 82 + 16/7*n. Factor z(f).
-(f - 4)*(f + 4)/7
Let s(z) = -2*z**2 + 1125*z - 102256. Let f be s(114). Determine m, given that 6/7*m**3 - 26/7*m**4 + 32/7*m**f + 0 - 8/7*m + 8/7*m**5 = 0.
-1, 0, 1/4, 2
Let u = -2/105487 + 5485362/2004253. Let -2/19*q**2 - u*q - 338/19 = 0. What is q?
-13
Suppose -80*w = -161 + 1. Let a(j) be the second derivative of -18*j + 0*j**w + 1/48*j**3 + 0 - 1/96*j**4. Determine v, given that a(v) = 0.
0, 1
Suppose 0 = -82*l + 91*l - 117. Factor -6 - 4*m**3 - l*m - 35*m**2 - 42*m - 19 - m**3.
-5*(m + 1)**2*(m + 5)
Let t(b) be the first derivative of -7*b**4/8 + 2*