3 = 0 for y.
-8, 0, 1
Let r(h) be the third derivative of -h**2 - 1/108*h**4 + 1/540*h**6 - h + 19/270*h**5 + 0 - 19/27*h**3. What is t in r(t) = 0?
-19, -1, 1
Suppose 0 = -123*i + 138 - 82 + 190. Let z(f) be the third derivative of 1/60*f**6 + 19*f**i - 8/3*f**3 - 1/5*f**5 + 0 + f**4 + 0*f. Factor z(u).
2*(u - 2)**3
Find p such that -3/5*p**4 + 3*p - 18/5*p**3 + 9/5 - 6/5*p**2 + 3/5*p**5 = 0.
-1, 1, 3
Factor -84/13 - 2/13*l**2 + 46/13*l.
-2*(l - 21)*(l - 2)/13
Let -1698*g**3 - 2016*g**2 + 266*g**2 + 1573*g**3 + 5*g**4 = 0. Calculate g.
-10, 0, 35
Let r(t) = -t**3 - 16*t**2 - 34*t - 74. Let c be r(-14). Solve -c - 5/3*u**2 + 25/3*u = 0 for u.
2, 3
Let l = -259 - -253. Let m(c) = -2*c**3 - 9*c**2 + 16*c - 10. Let n be m(l). Determine t, given that 0*t + 1/2*t**3 + 0 - 2*t**n = 0.
0, 4
Let s be (-2)/(-9)*3 - (-110)/33. Solve -198*h**3 - 68*h - 665*h**5 + 202*h**2 - 666*h**5 + 1333*h**5 + 62*h**s = 0.
-34, 0, 1
Let p(f) be the first derivative of -1/20*f**5 - 1/12*f**3 - 3/8*f**2 + 3/16*f**4 + 1/2*f - 7. Suppose p(b) = 0. Calculate b.
-1, 1, 2
Let s = -214307/2 + 107160. Suppose -5/4*b**5 - b**4 + 3/4*b + 0 - 5*b**2 + s*b**3 = 0. Calculate b.
-3, 0, 1/5, 1
Let x(s) be the first derivative of -14 - 1/11*s**2 - 8/11*s**3 + 24/11*s + 1/22*s**4. What is k in x(k) = 0?
-1, 1, 12
Let 3/7*j**4 + 15*j + 141/7*j**2 + 0 + 39/7*j**3 = 0. What is j?
-7, -5, -1, 0
Let l = -758266 + 3791331/5. Factor 9/5*u + 4 + l*u**2.
(u + 4)*(u + 5)/5
Let t(u) be the third derivative of u**6/540 + 5*u**5/84 - 11*u**4/126 + u**3/2 + u**2 - 30. Let w(m) be the first derivative of t(m). Factor w(y).
2*(y + 11)*(7*y - 2)/21
Let x(a) be the first derivative of -a**8/1680 + a**7/210 - a**6/120 - 3*a**3 + 3*a**2/2 - 80. Let s(b) be the third derivative of x(b). Factor s(g).
-g**2*(g - 3)*(g - 1)
Factor -368/5*i**2 + 4*i**3 + 1744/5*i - 128.
4*(i - 10)*(i - 8)*(5*i - 2)/5
Let x be (-142)/66 + (-287)/(-123). Suppose 0 + 28/11*o + 26/11*o**2 - x*o**3 = 0. Calculate o.
-1, 0, 14
Let x(o) be the second derivative of -32*o**2 + 0*o**3 - 1/21*o**7 - 67*o - 2/5*o**6 + 0 + 19/3*o**4 + 1/10*o**5. Find l, given that x(l) = 0.
-4, -1, 1, 2
Let -3/5*g**3 - 6/5*g**2 + 27/5*g + 54/5 = 0. Calculate g.
-3, -2, 3
Let y = -149 - -151. Solve 12*q**2 + 21*q**y - 34*q**2 = 0 for q.
0
Let p(c) be the second derivative of -c**6/30 + 9*c**5/20 - 2*c**4/3 - 10*c**3 + 1062*c. Factor p(m).
-m*(m - 6)*(m - 5)*(m + 2)
Factor 1/4*z**2 + 14 + 15/2*z.
(z + 2)*(z + 28)/4
Let k be 204/(-204)*(1/((-4)/6))/3. Solve -1/4*b + k*b**2 - 1/2 + 1/4*b**3 = 0 for b.
-2, -1, 1
Suppose -r = -4*h + 2156 + 34, h + 2210 = -r. Let g = r + 2209. Factor 1/3*j**4 - 2*j + 4/3*j**g + 1/3*j**2 + 0.
j*(j - 1)*(j + 2)*(j + 3)/3
Suppose 0 = 4*t - 4*p - 444, 270 + 219 = 4*t + 5*p. Let x = t - 113. Factor 0*l - 1/2*l**4 - 1/2*l**x + 0*l**2 + 0.
-l**3*(l + 1)/2
Let c be ((-55)/66*-4)/2. Let g(m) be the first derivative of -c*m**3 + 10*m**2 + 25*m - 5. Solve g(d) = 0.
-1, 5
Let v(q) be the first derivative of -3/5*q**4 + 181 - 8/15*q**3 - 6/25*q**5 + 0*q + 0*q**2 - 1/30*q**6. Factor v(u).
-u**2*(u + 2)**3/5
Let w(z) = -8*z - 11. Let r be w(13). Let f = r + 118. Let -4 + 10*k**3 + 0*k - 5*k**4 + f*k**4 + 2*k - 18*k**2 + 12*k = 0. What is k?
1, 2
Suppose 0*u = 3*u. Suppose u = y + 1 - 6. Solve 5*m**3 + y*m**4 - m**2 + 2*m**2 - 5*m**5 - 5*m**2 - m**2 = 0 for m.
-1, 0, 1
Let s(n) be the first derivative of -n**6/12 - n**5/10 + 3*n**4/4 - n**3/3 - 5*n**2/4 + 3*n/2 + 288. Factor s(d).
-(d - 1)**3*(d + 1)*(d + 3)/2
Let j(s) = -s**3 - 3*s**2 + 9*s - 3. Let p(l) = 14*l + 51. Let f be p(-4). Let y be j(f). Factor 15/2*c**y - 27/2 - 3/2*c**3 - 9/2*c.
-3*(c - 3)**2*(c + 1)/2
Suppose -11*m + 15 = -8*m. Suppose -h - 7 = -m*r, 0 = 4*r - h + 5*h - 20. Factor 3*g - 11*g - r*g - 5*g**2.
-5*g*(g + 2)
Let k(p) be the first derivative of p**4/6 + 44*p**3/45 - 23*p**2/15 - 16*p/3 + 894. Solve k(z) = 0.
-5, -1, 8/5
Let p be (((-6)/(-4) - 2) + 0)*-4. Suppose -6*j + j - 236 = -p*h, 5*h - 520 = -5*j. Factor 19*y + 7*y**3 + 7*y**3 - h*y**2 + y**4 - y**5 + 5 + 134*y**2.
-(y - 5)*(y + 1)**4
Suppose -5*m + 0 = 10. Let j be -8*3*m/12. Factor 2*q**3 + 12*q**2 + 284*q**4 + 4*q - 280*q**j + 10*q**3.
4*q*(q + 1)**3
Factor 186*x**2 - 570554 - 381*x**2 + 2122*x - 320521 + 1148*x + 192*x**2.
-3*(x - 545)**2
Let g(n) be the second derivative of -n**6/150 - 19*n**5/100 - 19*n**4/20 + 319*n**3/30 - 121*n**2/5 - 1475*n. Suppose g(c) = 0. What is c?
-11, 1, 2
Let r = 153 + -149. Suppose -2*k**2 - 28*k**3 + 9*k**2 + 17*k**2 + r*k**4 = 0. Calculate k.
0, 1, 6
Let f(c) be the first derivative of c**4 + 1004*c**3/3 + 6381. Factor f(b).
4*b**2*(b + 251)
Let r(j) be the second derivative of j**5/190 - 4*j**4/57 - j**3/57 + 8*j**2/19 - 401*j + 1. Factor r(t).
2*(t - 8)*(t - 1)*(t + 1)/19
Let d = -400 - -403. Suppose p + 0*p + 6 = i, -d*i + 2 = p. Factor -1/3*k**4 - 2/3*k + 0*k**i + 2/3*k**3 + 1/3.
-(k - 1)**3*(k + 1)/3
Let p be ((-5)/2)/(30/(-48))*2/12. Let c(h) be the first derivative of 4/3*h + p*h**3 + 1/12*h**4 + 3/2*h**2 - 13. Suppose c(r) = 0. What is r?
-4, -1
Let k(n) = -35*n - 1540. Let l be k(-44). Let s(o) be the second derivative of 0*o**2 + 1/42*o**4 + l - 2/21*o**3 - 7*o. Factor s(h).
2*h*(h - 2)/7
Let 5*m**2 + 1969 - 1256 - 1028 + 11*m - m = 0. Calculate m.
-9, 7
Let f(k) be the first derivative of -2*k**3/3 + 75*k**2 - 1408*k + 3326. Factor f(z).
-2*(z - 64)*(z - 11)
Suppose 5*o + 4*o = 14*o + 8*o. Factor 0*q + o + 22/19*q**3 + 8/19*q**4 - 6/19*q**2.
2*q**2*(q + 3)*(4*q - 1)/19
Let b be 1/20*(6/8 + 3). Let j(m) be the first derivative of 0*m**5 + 1/6*m**3 + 0*m + 22 + 0*m**2 - 1/24*m**6 + b*m**4. Factor j(r).
-r**2*(r - 2)*(r + 1)**2/4
Let d(l) be the first derivative of 5*l**4/4 + 95*l**3/3 - 55*l**2 - 200*l + 975. Factor d(o).
5*(o - 2)*(o + 1)*(o + 20)
Let k = 2863 - 2859. Let u(z) be the third derivative of 0 - 2/3*z**k + 1/30*z**5 + 24*z**2 + 0*z + 16/3*z**3. Factor u(o).
2*(o - 4)**2
Suppose 4*j = q - 30, -350*j - 11 = 5*q - 347*j. Let h(u) be the first derivative of -90*u + 15/2*u**q + 20 + 20/3*u**3 - 5/4*u**4. Find p such that h(p) = 0.
-2, 3
Factor 16*c - 5*c**2 + 58*c - 421*c - 73*c - 4320.
-5*(c + 12)*(c + 72)
Suppose 738/11*t - 12*t**2 - 1080/11 + 2/11*t**3 = 0. What is t?
3, 60
Let a(z) = -22*z**3 - 75*z**2 + 53*z + 7. Let c be a(-4). Find k, given that k**4 + 0*k + 0 + 2/5*k**2 + 7/5*k**c = 0.
-1, -2/5, 0
Let y = -192 + 196. Factor -y*j - 3*j + 7 - 9 - 4*j - 5*j**2.
-(j + 2)*(5*j + 1)
Let h = -37377 - -186887/5. Determine z so that -6/5*z**4 - 6/5*z**3 - 2/5*z**2 - h*z**5 + 0 + 0*z = 0.
-1, 0
Let k(n) be the first derivative of -n**7/1155 + n**5/165 - n**3/33 - n**2/2 - 150. Let j(m) be the second derivative of k(m). Find p such that j(p) = 0.
-1, 1
Let b(j) be the first derivative of 4*j**3/21 + 158*j**2/7 - 320*j/7 - 2203. Let b(d) = 0. What is d?
-80, 1
Let r be 6/24*(3/10)/(24/32). Let b(s) be the second derivative of 0 - 17*s - r*s**5 + s**2 - 1/6*s**4 + 1/3*s**3. Let b(i) = 0. What is i?
-1, 1
Let k(u) = 2*u**2 - 4*u - 24. Let s(b) = -2*b**2 + 7*b + 28. Let p(v) = -7*k(v) - 6*s(v). Factor p(i).
-2*i*(i + 7)
Suppose 4*c + 159 = 7*c. Let y = 8042 - 8038. Suppose -144 + c*w + y*w**3 + 44*w**2 + 50*w - 7*w = 0. Calculate w.
-6, 1
Let v(y) be the third derivative of -1/150*y**5 - 4*y**2 + 8*y + 0 - 14/15*y**3 + 3/20*y**4. Factor v(m).
-2*(m - 7)*(m - 2)/5
Let c(y) = 17*y**3 - 135*y**2 - 30*y + 174. Let h(d) = -8*d**3 + 68*d**2 + 14*d - 86. Let v(t) = 12*c(t) + 26*h(t). Factor v(z).
-4*(z - 37)*(z - 1)*(z + 1)
Let y(b) be the first derivative of -68/3*b**3 + 11 - 32*b + 44*b**2 - 2/3*b**6 + 4*b**5 - b**4. Factor y(v).
-4*(v - 4)*(v - 1)**3*(v + 2)
Let s be -30 + 5 + 2020/80. Find h such that -s*h**3 + 0 + 0*h - 1/4*h**2 = 0.
-1, 0
Let b(p) be the first derivative of p**4 - 40*p**3 + 262*p**2 - 600*p - 14845. Solve b(d) = 0 for d.
2, 3, 25
Suppose -5*j = -v + 17, 2*v = 3*j - j + 10. Factor 5*l**2 + 2*l**3 + 16*l**2 + 2*l**4 - 23*l**2 - v*l.
2*l*(l - 1)*(l + 1)**2
Let o(j) be the second derivative of -j**6/20 - 243*j**5/40 + 42*j**4 - 85*j**3 + 40*j - 12. Let o(c) = 0. Calculate c.
-85, 0, 2
Let h(r) be the second derivative of r**7/420 + 11*r**6/90 - 47*r**5/60 + 2*r**4 + 118*r**3/3 + 336*r. Let l(o) be the second derivative of h(o). Factor l(u).
2*(u - 1)**