 - 25/18*w**3. Find d, given that t(d) = 0.
-3, -1, 2
Suppose 11/2*s**2 + 13/2*s**3 + 0 + 3/2*s + 5/2*s**4 = 0. What is s?
-1, -3/5, 0
Let r = 86 + -78. Suppose r = 4*y - 0*y + 5*v, 5*y = -4*v + 10. Solve 0*t**y - 2/3*t + 0 + 2/3*t**3 = 0.
-1, 0, 1
Let p(r) be the second derivative of r**4/12 + 3*r**3 + 45*r**2/2 - 77*r. Find k such that p(k) = 0.
-15, -3
Suppose 32*j**2 - 112*j**2 - 268 - 40*j**3 + 85*j**3 + 272*j - 41*j**3 + 12 = 0. What is j?
2, 16
Let u(q) be the third derivative of -q**8/112 - 6*q**7/5 - 441*q**6/10 - 9*q**2 + 3. Find y, given that u(y) = 0.
-42, 0
Factor 28*z + 0 - 2/3*z**3 + 2/3*z**2.
-2*z*(z - 7)*(z + 6)/3
Factor 5/4*f**2 - 195/2 - 35/4*f.
5*(f - 13)*(f + 6)/4
Factor b**2 + 0*b**2 + 4*b**4 + 6 + 16*b - 10*b**3 - 5*b**2 - 2*b**2 + 2.
2*(b - 2)**2*(b + 1)*(2*b + 1)
Factor -2*j**2 - 5*j**3 + 9*j**3 - 3*j**3 - 2*j**2 + 3*j.
j*(j - 3)*(j - 1)
Let m(i) be the first derivative of 5 - 1/12*i**4 + 0*i**2 - 3*i - 1/3*i**3. Let q(b) be the first derivative of m(b). Factor q(f).
-f*(f + 2)
Let p be ((-4)/(-126))/(-15 + 680/45). Find w, given that 2/7*w**2 + 0*w + 1/7*w**5 + 0 - p*w**4 - 1/7*w**3 = 0.
-1, 0, 1, 2
Let o(s) = -4*s**3 - 12*s**2 - 4. Let j(x) = -2*x**3 - 13*x**2 - 3. Let n(q) = 4*j(q) - 3*o(q). Factor n(b).
4*b**2*(b - 4)
Let r(o) = 5*o**2 + 6*o - 2. Let m(h) = 6*h + 5*h**2 + 21 + h**2 - 24. Let s(a) = -2*m(a) + 3*r(a). Factor s(k).
3*k*(k + 2)
Let m = -119/1290 + -1/129. Let q = 157/30 - m. Determine g, given that -q + 4/3*g**2 + 2/3*g**3 - 8/3*g = 0.
-2, 2
Let k(y) be the third derivative of y**7/42 - 13*y**6/24 + 4*y**5 - 15*y**4/2 + 371*y**2. Determine n so that k(n) = 0.
0, 1, 6
Let y(u) = -23*u**2 - 69*u + 2. Let o be y(-3). Factor 2/11*x**o + 2/11 - 4/11*x.
2*(x - 1)**2/11
Let k be (-22)/(-4)*(-152)/(-418). Let r(y) = -6*y + 9*y - 31*y**2 + 57*y. Let w(d) = 6*d**2 - 12*d. Let n(c) = k*r(c) + 11*w(c). Factor n(j).
4*j*(j - 3)
Let n be -6*7/(-126) + (-42)/(-9). Let m(q) be the second derivative of -n*q + 2*q**2 - 1/3*q**3 - 1/6*q**4 + 0. Let m(u) = 0. Calculate u.
-2, 1
Let i(q) = -q**3 - 3*q**2. Let l be i(-4). Let t = -13 + l. Factor -u - 3*u**5 - 3*u + 11*u**t - 5*u**3 + u.
-3*u*(u - 1)**2*(u + 1)**2
Determine g so that -2/7*g**3 + 2/7*g - 2/7 + 2/7*g**2 = 0.
-1, 1
Suppose -6*c - 30 = -12*c. Let a**4 - 2*a - 5*a**3 - a**2 + 6*a + 4*a + 0*a**5 - 4 + a**c = 0. Calculate a.
-2, 1
Let h(k) be the third derivative of 0*k**6 + 0*k**4 + 0 + 1/735*k**7 + 0*k - 1/105*k**5 - 21*k**2 + 1/21*k**3. What is t in h(t) = 0?
-1, 1
Let o(z) be the second derivative of z**5/130 + 11*z**4/78 + z**3 + 45*z**2/13 + 219*z. Factor o(k).
2*(k + 3)**2*(k + 5)/13
Let j(c) be the third derivative of -c**8/120960 - c**7/30240 + c**6/2160 - c**5/20 - 3*c**2. Let i(k) be the third derivative of j(k). Let i(x) = 0. What is x?
-2, 1
Let 0 - 3/10*t**2 + 1/10*t**3 + 1/5*t = 0. Calculate t.
0, 1, 2
Let o be 5*(6/15 + -1) + 3. Suppose o = -j - 0*j - j. Let 4/3*p + 8/3*p**2 + j + 4/3*p**3 = 0. Calculate p.
-1, 0
Let n(f) = -207*f + 6005. Let s be n(29). Factor 1/6*c**3 - 5/6*c + 1/6*c**4 - 1/2*c**s - 1/3.
(c - 2)*(c + 1)**3/6
Let x(h) be the second derivative of -h**8/1680 + 7*h**6/600 - h**5/50 + 2*h**2 + 21*h. Let j(k) be the first derivative of x(k). Determine l so that j(l) = 0.
-3, 0, 1, 2
Let h(i) = -i + 6. Let j be h(8). Let f be (0/5)/(j - -3). Find p, given that 3*p**2 + f*p**2 + 3 - 6*p**2 = 0.
-1, 1
Suppose -8*l = 504 - 520. Let r(v) be the second derivative of 0 + 1/3*v**3 + 3*v - v**l - 1/24*v**4. Factor r(t).
-(t - 2)**2/2
Let i(z) be the third derivative of 3481*z**7/105 + 3422*z**6/15 + 2164*z**5/5 - 232*z**4/3 + 16*z**3/3 + 106*z**2. Factor i(w).
2*(w + 2)**2*(59*w - 2)**2
Let l = -20 - -22. Factor 4 - 11*d**2 - 2*d + 0*d + l*d**3 - 7*d**2 + 14*d**2.
2*(d - 2)*(d - 1)*(d + 1)
Let w(g) be the first derivative of -g**4/2 + 4*g**2 - 72. Let w(h) = 0. What is h?
-2, 0, 2
Factor -25*w**3 + 13*w**5 - 12*w**5 + 7*w**4 - 13*w**2 + 14*w**4 + w**4 - 33*w**2.
w**2*(w - 2)*(w + 1)*(w + 23)
Let v(o) be the second derivative of -29*o**5/80 - 59*o**4/24 - 31*o**3/6 - o**2 - o + 19. Suppose v(f) = 0. What is f?
-2, -2/29
Suppose 0 = 7*t + 3 - 31. What is b in -4*b - 4*b**5 + 11*b**3 - t*b**2 - 4*b + 2*b**3 + 4*b**4 - b**3 = 0?
-1, 0, 1, 2
Let r(b) be the first derivative of b**4/24 + 133*b**3/18 - 269*b**2/12 + 45*b/2 + 478. Factor r(w).
(w - 1)**2*(w + 135)/6
Let r(t) = -t**3 - 22*t**2 - 31*t - 72. Let c be r(-21). Let k be (-2*1/3)/((-46)/c). Determine v so that 9/2*v**4 + 0 - 15/2*v**3 + 3/2*v + 3/2*v**k = 0.
-1/3, 0, 1
Let r(p) = -12 - 15*p**2 + 4*p - 22*p - 6. Let l(v) = -v**2 - v - 1. Let k = -27 + 9. Let u(i) = k*l(i) + r(i). Find f such that u(f) = 0.
0
Let i be (266/57)/(4/18). Suppose -i*f**2 + 18*f**2 + 9 - 12*f + 6 = 0. What is f?
-5, 1
Let i(f) = -2*f**2 + 213*f - 718. Let o be i(103). Factor -24/5*r - 8/5 - 6/5*r**2 + 2*r**o.
2*(r - 2)*(r + 1)*(5*r + 2)/5
Let j = -80 + 83. Suppose -28*x**3 - 67*x**3 + 10*x**4 + 25*x**j - 5*x**4 + 245*x**2 = 0. What is x?
0, 7
Let c be (-11)/(-1) + -7*(-527)/(-357). Factor c*y**3 + 0 - 4/3*y - 2/3*y**2.
2*y*(y - 2)*(y + 1)/3
Let g be (0 + 1)/(64/256). Let n(p) be the third derivative of 2/3*p**3 + 0*p + 0 + 6*p**2 - 1/60*p**5 + 1/8*p**g. Suppose n(r) = 0. What is r?
-1, 4
Let x(k) be the first derivative of 7*k**3/12 + 75*k**2/8 - 11*k/2 + 30. Factor x(r).
(r + 11)*(7*r - 2)/4
Let a(k) be the third derivative of 0*k + 16/9*k**3 + 13*k**2 - 10/9*k**4 + 0 + 1/10*k**6 + 2/15*k**5. Find m, given that a(m) = 0.
-2, 2/3
Suppose -8 = -g + 2*y, 4*y - 10 = g + 8*y. Let r(u) be the first derivative of 3/2*u**2 - g*u - 1/3*u**3 + 7. Factor r(w).
-(w - 2)*(w - 1)
Let x(i) = 10*i**4 - 29*i**3 - 111*i**2 + 896*i + 983. Let q(n) = 8*n**4 - 30*n**3 - 114*n**2 + 896*n + 982. Let d(t) = -3*q(t) + 2*x(t). Factor d(a).
-4*(a - 7)**2*(a + 1)*(a + 5)
Let x(d) be the third derivative of -2*d**7/105 - d**6/10 - d**5/5 - d**4/6 + 8*d**2 + 3. Factor x(u).
-4*u*(u + 1)**3
Let z = -3161 - -3161. Let n be 2 - 0 - (-28)/(-18). Factor 10/9*k**4 + 0*k**2 - n*k**3 + 0*k - 2/3*k**5 + z.
-2*k**3*(k - 1)*(3*k - 2)/9
Let j be (((-12)/(-30))/(-2))/((-243)/18 + 13). Find g such that 4/5 - 6/5*g + j*g**2 = 0.
1, 2
Let p(i) be the first derivative of -2*i**5/35 + 3*i**4/14 - 4*i**3/21 + 73. Find o such that p(o) = 0.
0, 1, 2
Let x = -64 - -67. Let n be (-2 - -2)/(0 + 4 - x). Factor -2/7*l**5 + n*l + 0 - 6/7*l**4 + 0*l**2 - 4/7*l**3.
-2*l**3*(l + 1)*(l + 2)/7
Let h(z) = 3*z + 31. Let p be h(19). Let v = p + -527/6. Find y such that 0 - 1/6*y - v*y**2 = 0.
-1, 0
Let o(w) be the first derivative of 3*w**5/5 + 15*w**4/2 + 17*w**3 + 12*w**2 - 394. Find a, given that o(a) = 0.
-8, -1, 0
Let b(d) = d**3 + 5*d**2 - 8*d - 46. Let o be b(-4). Factor -15/2*k**3 - 6 + 39/2*k**o - 6*k.
-3*(k - 2)*(k - 1)*(5*k + 2)/2
Suppose -42*p = 38 - 542. Factor 0 - 28/5*o**3 + p*o**2 - 36/5*o + 4/5*o**4.
4*o*(o - 3)**2*(o - 1)/5
Let -160*c - 665 + c**2 + 4*c**2 - c**2 + 2265 = 0. What is c?
20
Suppose 4*b + 138 = 114. Let k(j) = 3*j**3 + 4*j**2 + j + 2. Let m(o) = 25*o**3 + 33*o**2 + 8*o + 17. Let x(y) = b*m(y) + 51*k(y). Let x(v) = 0. What is v?
-1, 0
Let m be (24/(-10))/(14/(-630)). Factor -120*r**3 - 3 - m*r**2 - 36*r - 25*r**3 + 37*r**3 - 1.
-4*(3*r + 1)**3
Let b(d) be the second derivative of d**7/1995 - d**6/1140 - 14*d**2 - d. Let g(q) be the first derivative of b(q). Suppose g(n) = 0. Calculate n.
0, 1
Let q(x) = -2*x**2 - 69*x - 79. Let w be q(-32). Let k = 245/3 - w. Factor k - 10/9*v + 2/9*v**2 + 2/9*v**3.
2*(v - 1)**2*(v + 3)/9
Let a(p) be the first derivative of p**5/30 + p**4/24 - p**3/9 - 365. Factor a(q).
q**2*(q - 1)*(q + 2)/6
Let j(p) be the third derivative of -p**5/30 - 7*p**4/2 - 410*p**2. Factor j(z).
-2*z*(z + 42)
Let c(w) be the first derivative of 4*w**3/15 + 18*w**2/5 + 32*w/5 + 15. Determine s, given that c(s) = 0.
-8, -1
Let x(c) be the third derivative of -1/90*c**5 + 0*c + 27*c**2 + 0 - 1/18*c**4 - 1/9*c**3. Find b, given that x(b) = 0.
-1
Suppose -2*k - 3*o = 3*k + 43, -12 = -3*o. Let b = 8 + k. Let s(f) = -f**2 - f. Let y(q) = q**3 - q. Let h(m) = b*s(m) + 3*y(m). Factor h(j).
3*j**2*(j + 1)
Let p(a) = 3*a**3 - 6*a**2 + 5*a + 8. Let r(g) = -2*g**3 + 6*g**2 - 4*g - 8. Suppose -4*s + 32 = 4*s. Let l(d) = s*p(d) + 5*r(d). Solve l(b) 