 d(r).
5*(r - 1)**2*(r + 11)**2/2
Let y(q) be the first derivative of -3/4*q - 7 - 1/4*q**2 + 1/12*q**3. Let y(g) = 0. What is g?
-1, 3
Let p = 20842 - 20840. Suppose 1/3*i**3 - 1/3*i**5 + 0 + 1/3*i**p - 1/3*i**4 + 0*i = 0. Calculate i.
-1, 0, 1
Let x(p) be the second derivative of p**6/1080 - p**5/72 + p**4/12 + 2*p**3/3 - 3*p**2/2 + p + 17. Let w(f) be the second derivative of x(f). Factor w(k).
(k - 3)*(k - 2)/3
Let o(m) be the second derivative of m**8/2940 - m**7/1470 - 7*m**3/2 - 18*m. Let r(h) be the second derivative of o(h). Factor r(w).
4*w**3*(w - 1)/7
Let c(t) be the first derivative of -t**5/150 - t**4/12 - 4*t**2 - 3. Let g(y) be the second derivative of c(y). Let g(a) = 0. Calculate a.
-5, 0
Let n = -2 - -42. Solve -5*k - 38*k**3 + n*k**3 + 3*k = 0.
-1, 0, 1
Let x(j) be the second derivative of 0*j**2 - j**3 + 1/180*j**6 - 1/30*j**5 - 2*j + 0 + 1/12*j**4. Let d(y) be the second derivative of x(y). Factor d(h).
2*(h - 1)**2
Let j(c) = c + 1. Let m(z) = -4*z**2 + 216*z - 2484. Let y(v) = -16*j(v) + m(v). Find k such that y(k) = 0.
25
Factor -16*p - 3*p**2 - 10*p**2 + 2*p**4 - 6 - 3*p**2 + 4*p**2.
2*(p - 3)*(p + 1)**3
Let l be 3*-1 - 100*6/(-168). What is n in l*n + 0 - 8/7*n**2 + 4/7*n**3 = 0?
0, 1
Suppose 6*l - 5*l = 7. Determine d, given that -51*d + 0 - 4 - l*d**3 + 22 - 40*d**2 = 0.
-3, 2/7
Factor 46/13*w**4 + 42/13*w**2 + 0 - 2/13*w**5 + 0*w - 86/13*w**3.
-2*w**2*(w - 21)*(w - 1)**2/13
Determine n so that 0 + 48*n - 168/5*n**2 - 3/5*n**4 + 39/5*n**3 = 0.
0, 4, 5
Let n be ((-76)/209)/((-2)/11). Let r(d) be the first derivative of -2*d + 5/2*d**4 + 8/5*d**5 - n*d**3 - 3 - 5*d**2. Suppose r(l) = 0. Calculate l.
-1, -1/4, 1
Let x(p) be the third derivative of p**8/4704 + 17*p**7/17640 + p**6/1260 - 3*p**5/20 + 2*p**2. Let h(z) be the third derivative of x(z). Factor h(t).
2*(t + 1)*(15*t + 2)/7
Factor 0 + 52/15*w + 2/15*w**2.
2*w*(w + 26)/15
Suppose 9*t - 1304 = -215. Let s = -118 + t. Factor 4/3 + 2/3*d + 10/3*d**s - 16/3*d**2.
2*(d - 1)**2*(5*d + 2)/3
Suppose -7*q + 8*q = -11*q. Let u(a) be the second derivative of 0*a**2 + q*a**3 + 1/36*a**4 + 2*a + 0*a**5 - 1/90*a**6 + 0. Find d such that u(d) = 0.
-1, 0, 1
Let q(s) be the second derivative of -s**4/4 + 79*s**3/2 - 2*s + 12. Let q(r) = 0. Calculate r.
0, 79
Let t(g) be the third derivative of g**5/60 - g**4/4 + 4*g**3/3 - 2*g**2 - 16. Factor t(x).
(x - 4)*(x - 2)
Let y be ((-56)/(-40))/(105/25). Let h(t) be the first derivative of 1/4*t**4 - t + y*t**3 - 11 - 1/2*t**2. Factor h(z).
(z - 1)*(z + 1)**2
Suppose -820*w + 4*w**4 - 10*w**2 + w**3 + 824*w - w**5 + 8 - 2*w**3 = 0. Calculate w.
-1, 2
Let h(w) = 4*w**4 + 4*w**3 - 64*w**2 + 20*w + 84. Let v(n) = n**3 + n**2 - n - 1. Let i(c) = h(c) + 4*v(c). Let i(y) = 0. What is y?
-5, -1, 2
Let m(y) = 4*y**2 - 199*y + 2704. Let g(u) = -u**2 + 50*u - 676. Let n(h) = -9*g(h) - 2*m(h). Determine b, given that n(b) = 0.
26
Let t = 60 + -60. Suppose -3*w - 7*w = t. Factor w - 4/5*j**2 - 2/5*j - 2/5*j**3.
-2*j*(j + 1)**2/5
Let f = 393/44240 + 2/553. Let a(j) be the third derivative of j**2 - 1/10*j**5 + 5/16*j**4 - 1/2*j**3 + 0 + f*j**6 + 0*j. Determine g so that a(g) = 0.
1, 2
Let 13*w + 10/3*w**2 + 0 - 1/3*w**3 = 0. Calculate w.
-3, 0, 13
Let g be ((-312)/(-13) - 10) + -11. Factor -2/9*k**4 - 8/9*k + 10/9*k**g + 16/9 - 4/3*k**2.
-2*(k - 2)**3*(k + 1)/9
Suppose 0 = -14*c + 47 - 19. Factor -4/11 - 10/11*f + 14/11*f**c.
2*(f - 1)*(7*f + 2)/11
Let d(m) be the third derivative of m**7/280 + 3*m**6/160 - m**5/2 + 187*m**2. What is x in d(x) = 0?
-8, 0, 5
Suppose -g = -j - 0*j + 66, 5*g - 3*j + 324 = 0. Let s be (-490)/g + -3 - 4/(-18). Factor -7*c**4 - 1 - 13*c**3 - 11/2*c - 3/2*c**s - 12*c**2.
-(c + 1)**4*(3*c + 2)/2
Let o be (-19 - (-66)/4)/((-15)/12). Suppose -2/11 - 4/11*g**o + 6/11*g = 0. Calculate g.
1/2, 1
Let b be 192/6*((-3 - -2) + 3). Solve w**2 - b*w - w**2 + 0*w**3 + 4*w**3 - 80 - 4*w**2 = 0 for w.
-2, 5
Let -164*g**2 + 66*g - 66*g**3 - 99*g**2 - 3*g**4 + 44*g**2 + 363 - 141*g**2 = 0. Calculate g.
-11, -1, 1
Let h be 17/51 + (-10)/(-78). Solve 4/13*d**5 + 18/13*d**4 - h*d + 10/13*d**2 - 4/13 + 2*d**3 = 0 for d.
-2, -1, 1/2
Let u = 947 + -8518/9. Let l(t) be the second derivative of 0 + 1/9*t**6 - 1/3*t**5 + u*t**4 - 1/63*t**7 - 5/9*t**3 + 1/3*t**2 + 3*t. Factor l(w).
-2*(w - 1)**5/3
Suppose -60*l = 52*l. Factor 2/3*t + l + 2/15*t**2.
2*t*(t + 5)/15
Let i(d) be the second derivative of -d**5/5 + 10*d**4 + 22*d**3 - 124*d**2 + 403*d. Determine n so that i(n) = 0.
-2, 1, 31
Let b(c) = 8*c**2 + 15*c. Let g(h) = h**2 + 3*h. Let f(w) = b(w) - 4*g(w). Determine a, given that f(a) = 0.
-3/4, 0
Let x(g) be the second derivative of g**7/420 + 7*g**6/180 + 2*g**5/15 - 4*g**4/3 - 13*g**3/3 + 2*g. Let p(h) be the second derivative of x(h). Factor p(j).
2*(j - 1)*(j + 4)**2
Let y(s) be the first derivative of 9*s**5/10 - 6*s**4 + 8*s**3 - 60. Solve y(g) = 0 for g.
0, 4/3, 4
Suppose 4*d - 87 = d. Suppose 4 = -2*j - 6, -i + 5*j = -d. Solve 0*k**4 - 14*k - 1 - 18*k**2 - 2*k**i - 10*k**3 - 3 = 0 for k.
-2, -1
Let t(i) = 7*i**2 - 11*i - 11. Let y(d) = -6*d**2 + 8*d + 10. Let z(r) = -4*t(r) - 5*y(r). Factor z(b).
2*(b - 1)*(b + 3)
Let j(q) = 4*q - 106. Let w = -217 - -244. Let b be j(w). Factor -1/8*z**b + 1/4*z - 1/8.
-(z - 1)**2/8
Suppose 3*z - 5*z = 3*c - 4, z = -2*c + 2. Suppose -f - w + 4 = c, f - 3*w + 14 = 5*f. Factor -10*y**2 - y + 2*y**3 + 10*y**f - y**5.
-y*(y - 1)**2*(y + 1)**2
Let p be (-15)/30 - 1*80702/(-44). Let m = 1836 - p. Factor 8/11*x - 8/11 + 10/11*x**3 + m*x**2.
2*(x + 1)*(x + 2)*(5*x - 2)/11
Let g be (-21)/20 + (-110)/(-88). Factor g*t**2 - 1/5*t**4 + 0*t + 0*t**3 + 0.
-t**2*(t - 1)*(t + 1)/5
Let t(y) be the first derivative of -1/9*y**3 - 7/6*y**2 - 24 + 0*y. What is d in t(d) = 0?
-7, 0
Let w(m) = 17*m**4 + 33*m**3 + 8*m**2 + 3*m - 25. Let v(q) = 4*q**4 + 8*q**3 + 2*q**2 - 6. Let o(b) = -9*v(b) + 2*w(b). Factor o(y).
-2*(y - 1)*(y + 1)**2*(y + 2)
Let o = 204 - 201. Let g(k) be the first derivative of -3/4*k**o + 0*k**2 + 3/4*k - 1 + 3/8*k**4. Suppose g(y) = 0. Calculate y.
-1/2, 1
Factor -18*w**3 - 22*w**3 + 52*w**2 + 50 - 155*w + 22*w**2 + 71*w**2.
-5*(w - 2)*(w - 1)*(8*w - 5)
Let k be 5/(4 + (-11)/4). Find w, given that 301*w - 2*w**3 + w**4 + w**4 - 4*w**2 + 3 - w**k - 299*w = 0.
-1, 1, 3
Let b be 1 - (12/(-6))/(-14). Let g(i) be the second derivative of 2*i - 1/21*i**4 + 0 + 8/21*i**3 - b*i**2. Let g(l) = 0. What is l?
1, 3
Suppose -12*f = -13*f + 4. Find g, given that 30*g + 35*g**2 - 3*g**f - 5*g**4 + 3*g**4 = 0.
-2, -1, 0, 3
Suppose -x = 4*k - 85, 0*k - 2*x + 70 = 3*k. Let t = -18 + k. Determine l so that 3*l**2 - l**2 + 2*l**2 + 6*l - t*l = 0.
-1, 0
Let x(t) = -t + 17. Let d be x(13). Find w, given that -8*w**2 - 10*w**3 + 11*w**4 - 5*w**d + w + 7*w = 0.
-1, 0, 2/3, 2
Let j(g) be the third derivative of g**7/105 + g**6/12 + 4*g**5/15 + g**4/3 + 3*g**2 + 14*g. Factor j(b).
2*b*(b + 1)*(b + 2)**2
Let b(l) = -l**3 - 10*l**2 - l - 7. Let m be b(-10). Let h(t) be the third derivative of -1/60*t**6 + 1/30*t**5 + 0*t + 0*t**m + 0 + 0*t**4 - t**2. Factor h(f).
-2*f**2*(f - 1)
Let z(t) be the first derivative of -1/12*t**6 + 0*t + 1/8*t**4 + 1/6*t**3 + 6 + 0*t**2 - 1/10*t**5. Factor z(h).
-h**2*(h - 1)*(h + 1)**2/2
Suppose -2*j**4 + 35*j**3 + 4*j**4 - 13*j**2 + 8603 - 8584 - 44*j**2 + j = 0. Calculate j.
-19, -1/2, 1
Let n(w) = -w**3 + 14*w**2 + w - 14. Let b be n(14). Suppose 0*g - 9*g = b. Factor -6/7*j**4 + 2/7*j**5 + 0*j + g + 6/7*j**3 - 2/7*j**2.
2*j**2*(j - 1)**3/7
Suppose 62*c - 20 = 72*c. Let n be (c - (-16)/6)/(70/42). Solve -n*q**2 + 2/5*q + 4/5 = 0.
-1, 2
Let w(c) = -10*c**4 - 2*c**3 + 20*c**2 - 12*c - 32. Let z(o) = -2*o**4 - o**2 - o. Let u(v) = w(v) - 4*z(v). Factor u(a).
-2*(a - 2)**2*(a + 1)*(a + 4)
Let g(i) be the third derivative of -8*i**7/35 - 47*i**6/30 - 7*i**5/3 - i**4 - 2*i**2 - 14. Let g(k) = 0. What is k?
-3, -2/3, -1/4, 0
Suppose -19*y + 83 = -12. Let m(g) be the first derivative of -3/2*g**3 - 3/10*g**y - 9/8*g**4 + 0*g - 3/4*g**2 + 2. Suppose m(b) = 0. Calculate b.
-1, 0
Let l(v) be the second derivative of 26*v**6/15 - 41*v**5/5 - 46*v**4/3 + 16*v**3/3 + 313*v. Factor l(b).
4*b*(b - 4)*(b + 1)*(13*b - 2)
Let p = -2866 + 19956/7. Let k = p + 982/63. Let -2/9*q**2 - 2/9 - k*q = 0. Calculate q.
-1