, 6
Determine h so that -90 + 375*h - 595*h**2 - 138*h**4 + 434*h**3 - 84*h**4 + 20*h**5 + 25*h**4 + 42*h**4 + 11*h**3 = 0.
3/4, 1, 2, 3
What is h in 32/13 + 6488/13*h**3 + 464/13*h + 2546/13*h**2 + 3200/13*h**5 + 7520/13*h**4 = 0?
-4/5, -1/4
Let a(s) be the first derivative of s**4/16 - s**3/6 - s**2/8 + s/2 - 11. Solve a(v) = 0.
-1, 1, 2
Let q(z) be the first derivative of -z**7/945 - z**6/540 + z**5/135 + 9*z**2 - 31. Let v(w) be the second derivative of q(w). Factor v(n).
-2*n**2*(n - 1)*(n + 2)/9
Let i(t) be the first derivative of -3/5*t**5 + 0*t**2 + 2*t**3 - 3*t + 2 + 0*t**4. Let i(u) = 0. Calculate u.
-1, 1
Suppose 0 = -5*f - l - 3, 5*f - 12 = 3*l + l. Factor 241 - 2*k**3 - 584*k + f*k**2 + 58*k**2 + 151 + 136*k.
-2*(k - 14)**2*(k - 1)
Let t be ((-3)/9)/(-1) + (-39)/9. Let q be t*8/20*(-5)/2. Determine v so that -2/7*v**3 - 4/7*v**2 + 0 + 0*v + 2/7*v**q = 0.
-1, 0, 2
Let u(m) be the second derivative of -m**6/30 + m**5/20 + m**4/12 - m**3/6 + 79*m. Determine d, given that u(d) = 0.
-1, 0, 1
Let j = 7174 - 21494/3. Let 0 - j*o**4 - 9*o - 30*o**3 - o**5 - 36*o**2 = 0. Calculate o.
-3, -1/3, 0
Factor -110 - 448*y**3 - 155*y + 894*y**3 - 441*y**3 - 40*y**2.
5*(y - 11)*(y + 1)*(y + 2)
Let t(s) be the first derivative of 5*s**5/16 - 85*s**4/48 + 31*s**3/24 - 3*s**2/8 + 22*s + 16. Let g(q) be the first derivative of t(q). Factor g(x).
(x - 3)*(5*x - 1)**2/4
Let l(m) be the first derivative of -3*m**4/16 - m**3/4 + 15*m**2/8 - 9*m/4 + 20. Factor l(n).
-3*(n - 1)**2*(n + 3)/4
Let j(i) be the third derivative of i**5/360 - 11*i**4/144 + i**3/2 - 9*i**2. Factor j(g).
(g - 9)*(g - 2)/6
Let p(s) = s**2 + 61*s + 624. Let a be p(-13). Solve -5*i**3 - 10/3*i**2 + a + 0*i - 5/3*i**4 = 0 for i.
-2, -1, 0
Let j(r) be the second derivative of r**7/11340 - r**6/810 + r**5/180 - 23*r**4/12 + 11*r. Let t(n) be the third derivative of j(n). Factor t(d).
2*(d - 3)*(d - 1)/9
Suppose 5*x - 2*c + 0*c + 12 = 0, 0 = 5*c + 20. Let b be x - (1 - (-14)/(-2)). Factor -303*r**3 + 2*r**2 + 4*r**2 + 2*r + 309*r**3 + b*r**4.
2*r*(r + 1)**3
Let p(a) be the third derivative of 0*a - 7/360*a**5 + 1/240*a**6 - 1/24*a**4 - 13*a**2 + 0 + 0*a**3. Factor p(x).
x*(x - 3)*(3*x + 2)/6
Suppose -5*f + 138 = 5*v + 33, -4*v - 44 = -4*f. Factor f + 2*i**3 + i**4 - 4 - 22*i - 10*i**3 - 6*i + 23*i**2.
(i - 3)*(i - 2)**2*(i - 1)
Solve -87/2 + 3/2*r**2 + 42*r = 0 for r.
-29, 1
Let q = 2223 - 186731/84. Let h(b) be the third derivative of -2/21*b**7 + 0 + 0*b + 1/3*b**6 + q*b**8 - 2/3*b**3 + 5/6*b**4 - 2/3*b**5 - 5*b**2. Factor h(n).
4*(n - 1)**5
Let y(r) be the first derivative of 0*r**2 + 3/4*r**4 + 0*r**3 + 12 + 3/5*r**5 + 0*r. Let y(l) = 0. Calculate l.
-1, 0
Let a be 0/(1*(-8)/4). Find m such that 49 - 13*m + a*m + 4*m**2 - 3*m - 33 = 0.
2
Let q(c) = -c - 3 - 1 + 2. Let d be q(-4). Suppose 5*b - 6 - 2*b**d + 6 - 3*b = 0. Calculate b.
0, 1
Let h be 1 - ((-26)/(-12))/(34/(-4) + 8). Factor 4*i - h + 4/3*i**2.
4*(i - 1)*(i + 4)/3
Let b(c) be the first derivative of -7*c**5/5 + 5*c**4/4 + 3*c**3 - 5*c**2/2 - 2*c - 90. Let b(j) = 0. What is j?
-1, -2/7, 1
Suppose 42*o - 44*o + y + 6 = 0, -5*y - 30 = 0. Suppose 1/3 + o*d - 1/3*d**2 = 0. Calculate d.
-1, 1
Let a(r) = -r**2 + 5*r - 3. Let u be a(3). Let z = 21 + -83/4. Determine t, given that 1/4*t + 0 + z*t**4 - 1/4*t**u - 1/4*t**2 = 0.
-1, 0, 1
Let v(g) be the first derivative of -g**5/20 + 19*g**4/8 - 179*g**3/4 + 418*g**2 - 1936*g + 281. Factor v(j).
-(j - 11)**2*(j - 8)**2/4
Let t = 61/72 + -17/36. Factor -75/2 - 15/2*d - t*d**2.
-3*(d + 10)**2/8
Let u(o) be the first derivative of 3*o**8/56 + 4*o**7/35 - 11*o**6/60 + o**5/15 + 10*o**2 + 5. Let l(i) be the second derivative of u(i). Solve l(g) = 0.
-2, 0, 1/3
Let r be (2/(-6))/(345/180 + -2). Let a(y) be the second derivative of 1/4*y**3 - r*y + 0 - 1/4*y**2 + 1/40*y**5 - 1/8*y**4. Factor a(l).
(l - 1)**3/2
Let g(n) = -n + 21. Let x be g(13). Suppose -2*b - 3*a + 18 = -6*a, 4*b = -5*a - x. Find l, given that 0 - 1/2*l**2 + 1/4*l + 1/4*l**b = 0.
0, 1
Suppose 7*z - 2*z = -x + 4, 2*x + 37 = 5*z. Let f be (((-11)/x)/(1/1))/6. Find v, given that -f + 1/6*v**2 + 0*v = 0.
-1, 1
Let h(a) be the third derivative of -a**7/175 + a**6/300 + a**5/50 - a**4/60 + 302*a**2 - 2*a. Suppose h(x) = 0. What is x?
-1, 0, 1/3, 1
Let w(v) = -v**2 - 114*v + 980. Let p be w(8). Factor -320/9*r + 32/9 - 80*r**3 + 944/9*r**2 + 18*r**p.
2*(r - 2)**2*(9*r - 2)**2/9
Let z(t) be the third derivative of t**8/5880 - t**7/1470 + t**6/1260 - 19*t**3/6 + 14*t**2. Let h(q) be the first derivative of z(q). Factor h(c).
2*c**2*(c - 1)**2/7
Let q(o) = o**3 + 2*o**2 - 3*o + 2. Let l be q(-4). Let y be 4/l - (-228)/54. Suppose -r**5 - 8*r**y + 0*r**5 + r**2 + r**3 + 7*r**4 = 0. What is r?
-1, 0, 1
Let o(z) be the second derivative of -z**4/108 + 4*z**3/9 - 23*z**2/18 - 13*z - 9. What is l in o(l) = 0?
1, 23
Suppose 18 = -2*m + 22. Let z(k) be the first derivative of 1/2*k**m + 1/16*k**4 + 1/3*k**3 + 0*k + 5. Solve z(r) = 0.
-2, 0
Let v(c) = 3*c**4 + 12*c**3 - 15*c**2 + 12*c - 6. Let a(w) = w**4 + w - 1. Suppose -94*d + 99*d + 5 = 0. Let r(y) = d*v(y) + 6*a(y). Let r(x) = 0. Calculate x.
0, 1, 2
Let p(i) be the first derivative of 3*i**4/8 - 67*i**3 + 285. Factor p(k).
3*k**2*(k - 134)/2
Let q(u) be the second derivative of u**5/20 - 11*u**4/24 - 3*u**3/4 + 9*u**2/2 - 11*u - 1. Suppose q(x) = 0. Calculate x.
-3/2, 1, 6
Let t(z) = 6*z - z**3 - 4*z - z**3 - z**4 + 4*z**5. Let b(m) = -3*m**5 + m**4 + m**3 - m**2 - 2*m. Let y(r) = -5*b(r) - 4*t(r). Factor y(v).
-v*(v - 2)*(v + 1)**3
Let m be 6*(-1 + 10/15 - -1). Let o be 760/150 + m/(-10) + -4. Let -k**5 - 1/3*k + 2/3*k**2 + 4/3*k**3 + 0 - o*k**4 = 0. What is k?
-1, 0, 1/3, 1
Suppose 2777*t - t**2 - 1469*t - 1428*t = 0. Calculate t.
-120, 0
Factor 2/3*p**2 - 2/15*p**4 + 0 + 2/5*p + 2/15*p**3.
-2*p*(p - 3)*(p + 1)**2/15
Let y(a) be the second derivative of a**6/90 - 2*a**4/3 + a**3/2 + 2*a. Let r(j) be the second derivative of y(j). Find h, given that r(h) = 0.
-2, 2
Let q(v) be the second derivative of 2/3*v**3 + 0 - v**2 - 1/6*v**4 + 2*v. Factor q(z).
-2*(z - 1)**2
Let k(o) = -2*o**2 + 17*o - 17. Let v be k(8). Let h be (-1 - 3)*(v + (-483)/(-56)). Factor 1/4*y**2 + 9/4 + h*y.
(y + 3)**2/4
Let w(g) be the second derivative of 5*g + 0 - 2/3*g**4 + 1/10*g**5 + 4/3*g**3 + 0*g**2. Suppose w(v) = 0. What is v?
0, 2
Let b be (-110)/(-2475)*(-3)/16*-2. Let r(a) be the third derivative of 0*a + 0 + 0*a**3 + b*a**4 + 11*a**2 + 1/600*a**6 + 1/100*a**5. Factor r(m).
m*(m + 1)*(m + 2)/5
Let d = -489/20 - -31/5. Let w = -349/20 - d. Factor -2/5*b**4 - 2/5*b**2 + 0*b + w*b**3 + 0.
-2*b**2*(b - 1)**2/5
Determine r, given that -2*r**4 + 3*r**4 + 17*r**3 + 253 - 44*r + 339*r + 129*r**2 - 22*r**2 + 47 = 0.
-5, -4, -3
Let p = -5 - -6. Suppose 2*u - 10 = -3*l, -u - 3*u = l - 10. Let m(i) = -10*i + 4. Let w(t) = t**2 + t + 1. Let y(k) = p*m(k) + u*w(k). Factor y(j).
2*(j - 3)*(j - 1)
Let p(n) be the third derivative of -n**5/300 - 81*n**4/20 - 19683*n**3/10 - 236*n**2. Let p(h) = 0. What is h?
-243
Let j(b) = -2*b**3 + 28*b**2 - 30*b - 40. Let u(c) = 2*c**3 - 30*c**2 + 31*c + 38. Let z(l) = 5*j(l) + 4*u(l). Solve z(y) = 0 for y.
-1, 3, 8
Let z be 2/(-9) - (10/(-60))/((-6)/(-8)). Let 0*m**3 + 1/4*m**5 + 0*m + 0*m**2 + 1/4*m**4 + z = 0. What is m?
-1, 0
Let z be -2*((-22)/8 - 6/(-12)). Suppose 0 = -4*r + 3*g, 0 = r - 3*g + 9. Find y, given that 0 + 3*y + z*y**2 + 3/2*y**r = 0.
-2, -1, 0
Let t be (1 - 2)*(11 - 15). Factor -13*j**3 + 12*j**2 - t*j + 4*j**2 + 22*j**3.
j*(j + 2)*(9*j - 2)
Let n = 12 - 10. Solve 31*t**2 - 6*t - t**3 - 40*t**n - 2*t**3 = 0.
-2, -1, 0
Let k(a) = a**2 - 3*a + 1. Let y be k(5). Let w(t) = -195*t + 4292. Let c be w(22). Factor 0*j - y*j**4 + j**3 + 121/4*j**5 + 0*j**c + 0.
j**3*(11*j - 2)**2/4
Let f(o) be the second derivative of o**5/60 - 3*o**4/56 + o**3/21 + 9*o**2 - 11*o. Let q(r) be the first derivative of f(r). Factor q(s).
(s - 1)*(7*s - 2)/7
Let l be 4/18 - 10608/108. Let s = l - -498/5. Solve 14/5*y**2 + s*y**3 + 4/5*y - 2/5 = 0.
-1, 1/4
Let q be ((12/15)/(-1))/((-15)/100). What is x in 64/9*x - 32/9 - 2*x**4 - q*x**3 + 16/9*x**2 = 0?
-2, 2/3
Let i be (-449)/(-2)*6/12. Let u = -112 + i. Factor u*t**2 + t - 1/4*t**3 - 1.
-(t - 2)*(t - 1)*(t + 2)/4
Let j(o) = -25*o**3 + 66*o