 u = 147/712 - -15/89. Solve a*o - u*o**2 + 3/2 = 0.
-2, 2
Let w(o) = 33*o - 21. Let c be w(4). Factor 1011*s - 13 + c*s**2 + 30*s**3 + 121 - 831*s + 3*s**4.
3*(s + 2)**2*(s + 3)**2
Let g(s) = -7*s - 36. Let p be g(-6). Solve -2*q + 0*q - p*q**3 + 9*q**3 - q**2 = 0 for q.
-2/3, 0, 1
Let b(u) be the first derivative of 2/33*u**3 + 9/11*u**2 - 49 + 0*u. Factor b(a).
2*a*(a + 9)/11
Suppose -9*u + 92 = 74. Solve 6 + 5*k**u + 5*k**3 + 5*k**2 + 1 + 0 - 35*k + 13 = 0.
-4, 1
Suppose 6 = -2*v + 2*k, -2*v + v = -2*k + 8. Let l(r) be the first derivative of -8*r + 45/2*r**4 - 12*r**v + 2 + 74/3*r**3. Factor l(c).
2*(c + 1)*(5*c - 2)*(9*c + 2)
Let h be (0 + -1)*1844/(-10142). Factor h*u**2 - 14/11 + 12/11*u.
2*(u - 1)*(u + 7)/11
Factor -38566*t - 36 + 38573*t + 56*t**2 + 10*t**3 + 3*t**3.
(t + 1)*(t + 4)*(13*t - 9)
Suppose -13*t - 8 = -17*t. Factor -382 + 6*g**t - 3*g**2 + 382 + 3*g**4 - 6*g**3.
3*g**2*(g - 1)**2
Factor -172*d**2 + 1075 + 6*d**3 + 93*d**2 + 221 - 137*d**2 + 42*d**3 - 3*d**4.
-3*(d - 6)**3*(d + 2)
Let h(g) be the third derivative of g**6/360 + 7*g**5/36 - g**4/18 - 70*g**3/9 + 4437*g**2. Factor h(t).
(t - 2)*(t + 2)*(t + 35)/3
Let o(l) be the third derivative of 0*l - 1/4*l**4 - 2/105*l**7 + 0 - 8/45*l**5 - 2/9*l**3 - 1/504*l**8 - 7/90*l**6 - 82*l**2. Let o(u) = 0. What is u?
-2, -1
Suppose 0 = 2*i + 7*i + 3*i. Let a be (i/(-30))/(2*2). Determine q, given that 8/9*q + a - 2/9*q**2 = 0.
0, 4
Let v = -1217 - -1151. Let x be (-28)/(-168) - (2 - (-217)/v). Suppose -20/11*c**2 - 2/11*c**3 - x - 34/11*c = 0. What is c?
-8, -1
Let t(z) = 199*z**4 - 381*z**3 - 85*z**2 - 15*z + 13. Let x(v) = 2*v**4 - 3*v**3 + 2*v**2 + v - 1. Let u(p) = 3*t(p) + 39*x(p). What is o in u(o) = 0?
-1/15, 0, 2
Let l = 15947 - 15947. Factor l + 5/4*a**2 + 5/2*a.
5*a*(a + 2)/4
Let z(x) = 3*x - 3. Let n be z(2). Let q = 323879 - 323879. Solve 5*g**n + q + 0*g**2 + 5/3*g**4 - 20/3*g = 0 for g.
-2, 0, 1
Let y(q) be the third derivative of -q**7/630 - 2*q**6/45 - 17*q**4/12 + 4*q**2. Let w(d) be the second derivative of y(d). Factor w(b).
-4*b*(b + 8)
Suppose 3*n + 3*d = 4149, 2*n - 10*d - 2780 = -5*d. Factor 15*o**3 - n - 17*o - 81*o**2 + 47*o + 0*o**3 + 1385.
3*o*(o - 5)*(5*o - 2)
Let p(b) be the first derivative of -b**3/6 - 42*b**2 + 169*b/2 + 491. Determine j so that p(j) = 0.
-169, 1
Determine m so that 2962/9*m + 2193361/9 + 1/9*m**2 = 0.
-1481
Solve -42/13*p + 392/13 - 2/13*p**2 = 0.
-28, 7
Let v = -1088466 - -2176933/2. Factor v + 7/2*k**2 + 4*k.
(k + 1)*(7*k + 1)/2
Let g(i) be the first derivative of 104/3*i + 50/3*i**2 - 50 - 4/9*i**3. Determine o, given that g(o) = 0.
-1, 26
Let k = 2 - 2. Let p be (0 - 6/14)/(1/(-7)). Solve -25*l**2 + 40*l + 5*l**3 + 480 + k*l**p - 500 = 0 for l.
1, 2
Factor -15870 + 3864*x + 3/2*x**3 - 291/2*x**2.
3*(x - 46)**2*(x - 5)/2
Let d(a) be the first derivative of 52*a**5/5 + 297*a**4 - 2732*a**3/3 + 846*a**2 - 200*a - 521. Solve d(j) = 0 for j.
-25, 2/13, 1
Let i(f) = 29*f**2 - 202*f + 191. Let n(x) = 7*x**2 - 51*x + 48. Let h = 153 + -144. Let d(k) = h*n(k) - 2*i(k). What is o in d(o) = 0?
1, 10
Let l be 3/(-8*24/(-512)). Suppose -7*u + 2*u - l = 2*w, -5*w - 20 = 0. Factor 2/7*x**5 + u + 18/7*x**3 + 2*x**2 + 4/7*x + 10/7*x**4.
2*x*(x + 1)**3*(x + 2)/7
Factor -87/2 - 3/4*y**2 + 93/4*y.
-3*(y - 29)*(y - 2)/4
Let y be 0/(-1) + 4 + -2. Suppose -2*m - 2*l + 14 = 0, -43 + 29 = -2*m - l. Factor 2*u**y - 1 + u**3 - 27*u + 23*u - m.
(u - 2)*(u + 2)**2
Let p(g) be the third derivative of g**6/60 - g**5/2 - 9*g**4/2 + 831*g**2. Let p(x) = 0. What is x?
-3, 0, 18
Let q(s) be the second derivative of -98*s**3 - 18 + 686*s**2 + 2*s + 7*s**4 - 1/5*s**5. Factor q(d).
-4*(d - 7)**3
Let j be (-7 - -3)/(2/(-1)). Find n such that -5*n**2 + 5*n**5 + 5*n**j - 838*n**4 + 858*n**4 - 60*n**3 = 0.
-6, 0, 2
Let z = -174 + 176. Factor 12*x**z - 4*x**4 - 3*x**5 + 82*x**3 - 106*x**3 + 19*x**4.
-3*x**2*(x - 2)**2*(x - 1)
Find h such that 516/11*h - 14/11 - 430/11*h**2 - 72/11*h**3 = 0.
-7, 1/36, 1
Let -3068 - 8*n**4 - 19936*n + 11*n**4 - 4500*n**2 - 7*n**4 - 12612 - 248*n**3 = 0. What is n?
-28, -5, -1
Let y(z) = -z**2 + 57*z + 35878. Let a be y(-163). Solve -4/7*d**3 - 26*d + 60/7 + a*d**2 = 0 for d.
1/2, 1, 30
Let m be (4/(-5))/(45/25*(-26)/39). Let q(v) be the first derivative of -4*v**4 + 8/3*v**3 - 3 + m*v**6 - 8/5*v**5 + 0*v + 6*v**2. What is n in q(n) = 0?
-1, 0, 1, 3
Let s = 6918 + -76092/11. Suppose 5*m + 2*m = 0. Suppose s*o + 2/11*o**2 + m = 0. What is o?
-3, 0
Let n(z) be the second derivative of -z**5/330 - z**4/66 + 8*z**3/33 + 13*z**2/2 + 51*z. Let u(b) be the first derivative of n(b). Suppose u(w) = 0. What is w?
-4, 2
Let d(k) be the first derivative of 8*k**4 - 7696*k**3/3 - 1927*k**2 - 482*k - 7038. Solve d(v) = 0 for v.
-1/4, 241
Factor -4*s**4 - 40*s**3 + 40*s + 80*s**2 + 100 - 306*s**2 + 130*s**2.
-4*(s - 1)*(s + 1)*(s + 5)**2
What is y in -2973 + 1511 - 146*y + 2078 - 2*y**2 = 0?
-77, 4
Let b = 2599 - 2591. Let a(x) be the second derivative of 0 - 3/40*x**5 + 3/16*x**2 + 3/16*x**4 + 1/80*x**6 - 1/4*x**3 - b*x. Solve a(k) = 0 for k.
1
Let j(n) be the second derivative of -n**7/280 - n**6/15 - 13*n**5/40 - 3*n**4/4 - 3*n**3 - 66*n. Let p(i) be the second derivative of j(i). Factor p(c).
-3*(c + 1)**2*(c + 6)
Suppose 0 = 3*q + 6*q - 18. Let k be (-53)/(-1*(q - 1)). Solve 0*j + 0*j + k*j**2 + 3*j**3 - 56*j**2 = 0.
0, 1
Solve 4225/6 - 5785/6*h - 24*h**3 + 284*h**2 = 0.
1, 65/12
Let i(s) be the second derivative of -s**4/24 + 47*s**3/2 - 19881*s**2/4 - 1275*s. Factor i(z).
-(z - 141)**2/2
What is b in 28531342 - 1068442 + 32125738 - 27512*b + 4*b**2 - 12281754 = 0?
3439
Factor -95*p - 2209/4*p**3 + 2 + 2303/2*p**2.
-(p - 2)*(47*p - 2)**2/4
Let s(a) = -a**4 - 3*a**2 - a - 1. Let d(j) = 6*j**4 + 3*j**3 + 45*j**2 + 9*j + 9. Let m(g) = -d(g) - 9*s(g). Factor m(y).
3*y**2*(y - 3)*(y + 2)
Suppose 661 = 20*l + 181. Let o(g) be the first derivative of -14/9*g**3 - 14/3*g**2 + l + 2/3*g**4 - 2*g. Factor o(a).
2*(a - 3)*(a + 1)*(4*a + 1)/3
Factor 2/5*o**2 - 24 + 8/5*o.
2*(o - 6)*(o + 10)/5
Let t = -63/842 - -3557/2526. Factor 32/3*b + 0 - 8/3*b**3 + t*b**4 - 16/3*b**2.
4*b*(b - 2)**2*(b + 2)/3
Let d be (-9 - -7)/((-3)/6). Suppose -50*p + 125 + p**4 - 120*p**2 + d*p**4 + 50*p**3 - 10*p**4 = 0. Calculate p.
-1, 1, 5
Let t(l) = -111*l - 551. Let a be t(-5). Let y(x) be the third derivative of 0*x + 1/210*x**5 + 0*x**3 - 1/84*x**a + 0 - 10*x**2. Suppose y(c) = 0. What is c?
0, 1
Let k(q) be the third derivative of 5*q**8/336 - 27*q**7/14 + 657*q**6/8 - 4545*q**5/4 + 7695*q**4 - 29160*q**3 + 3750*q**2. What is m in k(m) = 0?
3, 36
Let y(x) be the third derivative of x**5/60 - 25*x**4/12 + 92*x**3/3 + 617*x**2. Solve y(n) = 0.
4, 46
Solve -161/5 - 484/5*b**3 + 158/5*b**2 + 484/5*b + 3/5*b**4 = 0 for b.
-1, 1/3, 1, 161
Let m(l) be the first derivative of l**8/1680 - l**7/105 + l**6/18 - 2*l**5/15 - 292*l**3/3 + 201. Let w(c) be the third derivative of m(c). Solve w(i) = 0.
0, 2, 4
Let k(r) be the first derivative of r**4/6 + 4*r**3 - 28*r**2 - 72*r + 227. Let u(n) be the first derivative of k(n). Find v, given that u(v) = 0.
-14, 2
Let p(m) = -11*m - 237. Let v be p(-39). Find a, given that 6*a**4 + 31*a**3 + v*a + 27*a**3 - 17 + 81 + 180*a**2 = 0.
-4, -1, -2/3
Factor 121*n + 730/3 - 1/3*n**2.
-(n - 365)*(n + 2)/3
Let j = 11/221 - -387/1105. Let g(m) be the first derivative of 14 - 1/5*m**2 + j*m - 4/15*m**3. Factor g(b).
-2*(b + 1)*(2*b - 1)/5
Let u(v) be the second derivative of v**5/80 - 317*v**4/48 - 30*v - 7. Determine m so that u(m) = 0.
0, 317
Let d(m) be the third derivative of -m**7/315 - 31*m**6/540 - m**5/4 - m**4/2 - 30*m**3 + 136*m**2. Let g(q) be the first derivative of d(q). Factor g(w).
-2*(w + 1)*(w + 6)*(4*w + 3)/3
Let p(k) = k**4 - k**3 + 2*k - 1. Let m(g) = 8*g**4 + 174*g**3 - 300*g**2 - 142*g - 3. Let d(q) = m(q) - 3*p(q). Factor d(l).
l*(l - 2)*(l + 37)*(5*l + 2)
Let n(d) = 7*d**3 + 6*d**2 + 3*d + 4. Let b(i) = -i**3 - i**2 - 2*i - 1. Let s = 60 - 48. Let o(p) = s*b(p) + 3*n(p). Factor o(c).
3*c*(c - 1)*(3*c + 5)
Let q(p) be the third derivative of 0*p - 3/68*p**4 - 2/51*p**3 + 11/510*p**5 - 2 - 29*p**2. Determine b so that q(b) = 0.
-2/11, 1
Let g = 52964/185325 + -2/26475. Suppose 0 + 0*t + 2/7*t**2 + g*t**3 = 0. Calculate t.
-1, 0
Let 