, 1
Suppose 0 = 6*i - 263 - 85. Suppose -n + 3*t + 164 = i, 0 = -t. Factor w + n - 106 - w**3.
-w*(w - 1)*(w + 1)
Let s = -72 - -33. Let o = -35 - s. What is j in o*j + 15*j**4 - 4*j - 19*j**4 = 0?
0
Let n(y) be the first derivative of -y**4/28 - 173*y**3/21 - 171*y**2/7 - 1649. Suppose n(r) = 0. Calculate r.
-171, -2, 0
Suppose 3*z = -3*j + 957, 0*z - 5*z - 3*j + 1599 = 0. Suppose 219 + z = 4*k. Determine f so that -9 - 11 - 129*f**2 - 26*f + k*f**2 = 0.
-2/3, 5
Let l(w) be the first derivative of -w**6/1440 + 3*w**5/80 + w**3 + w**2/2 + 38. Let f(r) be the third derivative of l(r). Determine s so that f(s) = 0.
0, 18
Let l(v) be the third derivative of -v**7/2205 + 11*v**6/630 - 2*v**5/7 + 18*v**4/7 - 96*v**3/7 + 4568*v**2. Solve l(u) = 0.
4, 6
Let g(z) be the third derivative of 1/1176*z**8 + 0*z**4 + 0 - 1/105*z**6 - 2/105*z**5 + 1/735*z**7 + 0*z**3 + 37*z**2 + 2*z. Determine l so that g(l) = 0.
-2, -1, 0, 2
Let k(r) be the third derivative of -r**7/105 - 4*r**6/15 - 13*r**5/30 + 5*r**4/2 - 598*r**2 - 8*r. Factor k(s).
-2*s*(s - 1)*(s + 2)*(s + 15)
Let d(o) be the second derivative of -o**5/60 + 29*o**4/18 - 49*o**3/2 - 227*o. Factor d(k).
-k*(k - 49)*(k - 9)/3
Let r be -33 + ((-399)/(-14) - -16). Factor -5*i**2 + r*i - 6 - 1/2*i**3.
-(i - 1)**2*(i + 12)/2
Factor 2476/3*h**2 + 2480/3 - 4958/3*h + 2/3*h**3.
2*(h - 1)**2*(h + 1240)/3
Let x(r) = -r**2 - 22*r + 8. Let p be x(-22). Let f be (-531)/(-324) + (-6)/p. Factor -f*k - 2/3 - 2/9*k**2.
-2*(k + 1)*(k + 3)/9
Let u be 3*((-2125)/15 - 7). Let z = 8480/19 + u. Factor -z*i**2 - 4/19*i + 2/19*i**4 + 0*i**3 + 0.
2*i*(i - 2)*(i + 1)**2/19
Factor 6/11*r**2 + 174/11*r + 828/11.
6*(r + 6)*(r + 23)/11
Let w(o) be the second derivative of 45*o - 1/3*o**4 + 32/3*o**3 + 0 + 34*o**2. Factor w(b).
-4*(b - 17)*(b + 1)
Let p(t) be the second derivative of t**7/21 - 191*t**6/45 + 163*t**5/10 - 53*t**4/18 - 164*t**3/3 + 244*t**2/3 + 5733*t. Suppose p(w) = 0. What is w?
-1, 2/3, 1, 2, 61
Let z(d) be the third derivative of -d**5/75 + 837*d**4/5 - 4203414*d**3/5 + 84*d**2 + 1. What is i in z(i) = 0?
2511
Let l(k) be the second derivative of 3*k**7/14 - 22*k**6/5 - 171*k**5/10 - 21*k**4 - 17*k**3/2 - 2*k + 143. Suppose l(a) = 0. Calculate a.
-1, -1/3, 0, 17
Let q(y) be the third derivative of y**5/270 + 43*y**4/18 + 1849*y**3/3 - 515*y**2 - 2*y. Factor q(s).
2*(s + 129)**2/9
Let r(j) = 2*j**5 - j**4 + j**2 - j + 1. Let o(p) = -8*p**5 - 10*p**4 - 4*p**3 + 10*p**2 + 10*p - 2. Let u(k) = o(k) + 2*r(k). Find d such that u(d) = 0.
-2, -1, 0, 1
Let w(y) = 11*y**4 - 190*y**3 + 325*y**2 - 2*y. Let a(n) = -n**4 + n**3 - 2*n**2 + 12*n. Let u(s) = 30*a(s) + 5*w(s). Factor u(c).
5*c*(c - 35)*(c - 2)*(5*c + 1)
Suppose -2*p - p + 12 = -f, -5*p = 2*f - 31. Let x = -118 - -124. Factor -2 - 9*g**3 + 3*g**p + 8 - 6 - x*g**2.
3*g**2*(g - 2)*(g + 1)**2
Let y(h) be the third derivative of 3/35*h**5 + 1/735*h**7 - 5/21*h**4 - 36*h**2 + 8/21*h**3 - 1/60*h**6 + 0 + 0*h. Determine n, given that y(n) = 0.
1, 2
Factor 0*s + 0 - 56/5*s**2 - 2/5*s**3.
-2*s**2*(s + 28)/5
Let s(x) be the third derivative of x**6/780 - 127*x**5/195 - 257*x**4/52 - 50*x**2 + 7. Factor s(m).
2*m*(m - 257)*(m + 3)/13
Let i(b) be the first derivative of -b**4/2 - 38*b**3/3 - 90*b**2 - 144*b - 3927. Factor i(k).
-2*(k + 1)*(k + 6)*(k + 12)
Let t be ((-333)/27 - -10)*-3. Let v be (-2 - t/(-2)) + 21/18. Solve -4/5*h**2 - 2/3*h**4 + 16/15 - 34/15*h**3 + v*h = 0.
-2, -2/5, 1
Factor 2092/17*i - 2/17*i**2 - 547058/17.
-2*(i - 523)**2/17
Let t(y) be the first derivative of -y**3/5 + 3*y**2/2 + 18*y/5 - 2308. Factor t(s).
-3*(s - 6)*(s + 1)/5
Let o be 8/(-36) + 5/((-45)/(-56)). Suppose o*t = t + 40. Suppose -2*k - 10*k**3 - k**5 + 0*k**3 - k**5 - 8*k**2 - 2*k**3 - t*k**4 = 0. What is k?
-1, 0
Let h = 89313 - 89311. Suppose -10/3*b**h - 10/3*b**3 + 4 - 2/3*b**4 + 10/3*b = 0. What is b?
-3, -2, -1, 1
Let c = -489 - -505. Factor -c*y**2 + 106*y - 52*y + 69*y**2 - y**3.
-y*(y - 54)*(y + 1)
Suppose 4*q + 6 = 2*z, 2*z + 3*q = 3*z - 2. Let p be (-8)/6 + 99*(-18)/(-972). Suppose -z - p*u**2 - 7/2*u = 0. What is u?
-5, -2
Let m(c) = -8 - 8*c**2 + 3*c**2 + 2*c**2 - 29*c. Let u(x) = -3*x**2 - 30*x - 6. Let l(i) = 3*m(i) - 4*u(i). Factor l(z).
3*z*(z + 11)
Find i such that -28*i**2 + 75 - 1438*i**3 - 125*i**4 + 78*i**2 + 1708*i**3 - 235*i - 35*i**5 = 0.
-5, -1, 3/7, 1
Let h(g) be the first derivative of g**6/36 - 127*g**5/30 + 580*g**4/3 - 18502*g**3/9 + 7112. Let h(j) = 0. What is j?
0, 11, 58
Let p(q) be the first derivative of q**4/4 - 3*q**3 - 35*q**2 + 8078. Factor p(z).
z*(z - 14)*(z + 5)
Solve 20*v**4 + 5/3 + 55/3*v**3 - 65/3*v**2 - 55/3*v = 0.
-1, 1/12, 1
Let q(d) be the second derivative of -d**4/18 - 28*d**3/9 + 29*d**2/3 - 3881*d. Factor q(i).
-2*(i - 1)*(i + 29)/3
Suppose 5*d = 20*d - 45. Solve 8*s**d - 40*s + 4*s**3 + 96*s**2 - 146*s**2 + 23*s**3 = 0.
-4/7, 0, 2
Let p(k) be the second derivative of -11/40*k**5 - 4*k**3 - 1/60*k**6 - 5/3*k**4 + 0*k**2 - 3 - 25*k. Determine w so that p(w) = 0.
-4, -3, 0
Let 71259*u**2 - 1168*u + 3*u**3 + 784 + u**3 - 70879*u**2 = 0. Calculate u.
-98, 1, 2
Let x be 18 + -6*66/24. Let w(k) be the first derivative of x*k + 44 + 0*k**2 - 1/2*k**3. Factor w(y).
-3*(y - 1)*(y + 1)/2
Let y(o) = 9*o**2 + 90*o + 592. Let p(v) = -3*v**2 + 4. Let m(i) = 2*p(i) + y(i). Let m(l) = 0. Calculate l.
-20, -10
Let u = 5521/117 + -469/9. Let s = u - -296/39. Determine r, given that -98/3*r**4 + 76/3*r + 301/3*r**3 - s - 82*r**2 = 0.
2/7, 1/2, 2
Let k = -131521 + 131524. Factor -7/2*s**2 - 1/2*s**k - 5/2 - 11/2*s.
-(s + 1)**2*(s + 5)/2
Let s(b) be the second derivative of 0 + 1/6*b**3 + 1/36*b**4 - 2/3*b**2 + 4*b. Factor s(q).
(q - 1)*(q + 4)/3
Let m(d) be the third derivative of d**5/15 - 77*d**4/3 - 208*d**3 + 5124*d**2. Factor m(w).
4*(w - 156)*(w + 2)
Find i such that 24/11*i**2 + 170/11 - 129/11*i - 1/11*i**3 = 0.
2, 5, 17
Factor 0 - 1/4*z**4 + 219/4*z**2 - 35/2*z**3 + 0*z.
-z**2*(z - 3)*(z + 73)/4
Let m(b) = -3*b - 7. Let r be m(-3). Factor 12*a**r + 5*a**3 - 7*a**2 + 10*a**2 + 0*a**2 + 5*a**2.
5*a**2*(a + 4)
Let a(c) be the third derivative of c**9/18144 + c**8/10080 - c**7/2520 - 77*c**3/6 - 3*c**2. Let q(g) be the first derivative of a(g). Factor q(t).
t**3*(t - 1)*(t + 2)/6
Let r(l) be the second derivative of 3*l**5/20 + 51*l**4/4 + 351*l**3/2 + 903*l**2/2 + 563*l. Solve r(c) = 0.
-43, -7, -1
Let p(b) be the second derivative of -1/30*b**5 + 5/9*b**3 - 14*b + 3 - 2*b**2 + 1/9*b**4. Find n such that p(n) = 0.
-2, 1, 3
Find h, given that -865/3*h**3 + 1944 + 3564*h + 1314*h**2 + 52/3*h**4 - 1/3*h**5 = 0.
-1, 18
Let 948*y**3 - 21*y**5 - 2787*y**2 + 54*y**4 + 786*y + 31*y**4 + 327*y**3 + 182*y**4 - 2 + 482 = 0. What is y?
-5, -2/7, 1, 16
Let t(o) be the third derivative of o**7/210 - 19*o**6/120 + 11*o**5/5 - 33*o**4/2 + 72*o**3 + 4*o**2 + 16*o. Find c, given that t(c) = 0.
3, 4, 6
Let v(n) be the third derivative of -1/30*n**5 + 0 - 147*n**3 + 7/2*n**4 + 222*n**2 + 0*n. Factor v(y).
-2*(y - 21)**2
Solve -34248 + 68105 + 6*m**2 - 7*m**2 + 792*m - 34648 = 0 for m.
1, 791
Let b = -38 + 40. Let u(t) be the first derivative of -85*t**2 - 1232*t - 32*t**3 + 324*t**2 + 6 - 816*t + t**4 + 145*t**b. Factor u(c).
4*(c - 8)**3
Let h(o) be the third derivative of 2/5*o**5 - 65*o**2 - 8/3*o**3 + 0 + 7/120*o**6 + 1/2*o**4 + 0*o. Factor h(a).
(a + 2)**2*(7*a - 4)
Factor 0*i**2 + 0*i + 0 + 62/15*i**4 + 2/15*i**5 + 116/15*i**3.
2*i**3*(i + 2)*(i + 29)/15
Let p(o) be the second derivative of o**6/6 - 5*o**4/3 - 7108*o. Factor p(w).
5*w**2*(w - 2)*(w + 2)
Factor 9972964/9 - 12632/9*g + 4/9*g**2.
4*(g - 1579)**2/9
Let b(r) = 6*r**4 + 42*r**3 + 16*r**2 - 279*r + 283. Let i(h) = -2*h**4 - 14*h**3 - 6*h**2 + 92*h - 94. Let l(z) = 6*b(z) + 17*i(z). Factor l(u).
2*(u - 2)*(u - 1)*(u + 5)**2
Let d(c) = -5*c**2 - 98*c - 37. Let y be d(-19). Suppose 103*b = 105*b - y. What is h in -b*h + 35/4 + 5/4*h**2 = 0?
1, 7
Suppose 83*s + 4 = 84*s. Factor 380*b**3 + b**4 - 24*b**5 - 55*b**s - 1568 - 16*b**5 + 6*b**4 + 4*b**5 + 552*b**2 - 1008*b.
-4*(b + 2)**3*(3*b - 7)**2
Factor 3872/5 - 174/5*x**2 + 3696/5*x + 2/5*x**3.
2*(x - 44)**2*(x + 1)/5
Let o(n) be the second derivative of n**7/504 + 11*n**6/48 + 121*n**4/6 - 109*n. Let y(k) be the third derivative of o(k). Factor y(j).
5*j*(j