- 1190 = 0.
14, 17
Let g(r) be the third derivative of -r**7/1260 + 11*r**6/240 + 17*r**5/180 - 11*r**2 - 27. Find z such that g(z) = 0.
-1, 0, 34
Let z(o) be the second derivative of -3*o**5/20 + 7*o**4/4 + 17*o**3/2 + 27*o**2/2 - 3818*o. Determine w, given that z(w) = 0.
-1, 9
Let g(w) be the first derivative of -48/11*w**3 - 36/11*w + 7/22*w**4 + 83/11*w**2 - 17. Suppose g(y) = 0. What is y?
2/7, 1, 9
Let l = 387 - 384. Suppose g + l = -4*y, -13*y - g - 3 = -8*y. Factor 0*i**2 - 3/8*i + y - 3/8*i**5 + 3/4*i**3 + 0*i**4.
-3*i*(i - 1)**2*(i + 1)**2/8
Suppose -8*l + 6*l + 6 = 0. Factor 3*q**2 - 462*q**3 - q**4 - 36 - 12*q + 464*q**l + 8*q**2.
-(q - 3)**2*(q + 2)**2
Let y(h) be the second derivative of 3*h**5/160 - 171*h**4/16 + 29241*h**3/16 + 181*h. Find q such that y(q) = 0.
0, 171
Let d(y) = -8*y + 2. Suppose 5*h = 5*q - 4*q + 5, -3*h - 3*q = 15. Let w be d(h). Factor 8/11 + 0*m - 2/11*m**w.
-2*(m - 2)*(m + 2)/11
Let l(z) be the first derivative of -5*z**6/6 + 11*z**5 - 105*z**4/2 + 340*z**3/3 - 100*z**2 + 1051. Suppose l(a) = 0. What is a?
0, 2, 5
Solve -1131*a**3 + 10*a**2 + a**4 + 1648*a**3 - 510*a**3 = 0 for a.
-5, -2, 0
Let p(d) be the second derivative of d**4/4 - 14*d**3/3 - 17*d**2/2 - 3*d + 1. Let w be p(10). What is m in 4/3*m**4 + 0 + 4*m**2 - 4/3*m - 4*m**w = 0?
0, 1
Let z(m) = -1 + 3*m - 9 - 2. Let a be z(6). Solve -9*h**2 - 28*h**2 + 14*h**2 - 124*h**2 + 51*h - 63*h**4 - a + 165*h**3 = 0.
2/7, 1/3, 1
Let b(z) = -z + 25. Let n(a) = 2*a**2 - 5*a + 10. Let i be n(4). Let p be b(i). Factor -8*s**2 + 4*s**2 - 3*s**3 + 3*s**4 + 6 - 8*s**2 + p*s + 3*s**2.
3*(s - 2)*(s - 1)*(s + 1)**2
Factor -37*x**2 + 19*x**2 - 332*x + 2*x**3 - 42*x**2 - 3*x**3 - 432.
-(x + 2)*(x + 4)*(x + 54)
Let t(g) be the third derivative of -1/80*g**6 + 0 - 1/280*g**7 + 0*g + 61*g**2 + 0*g**5 + 1/8*g**3 + 1/16*g**4. Factor t(f).
-3*(f - 1)*(f + 1)**3/4
Let i(o) be the first derivative of -5*o**4/12 - o**3/2 - 185*o - 203. Let a(z) be the first derivative of i(z). Factor a(q).
-q*(5*q + 3)
Let i(m) be the third derivative of -m**6/1260 - m**5/140 - 12*m**3 + 2*m**2 - 51. Let d(k) be the first derivative of i(k). Factor d(a).
-2*a*(a + 3)/7
Let o be -1*((-156)/27 - (-18)/(-81)). Let c(b) = b**3 - 2. Let v(n) = -5*n**3 + 18*n**2 + 60*n - 188. Let m(i) = o*c(i) + v(i). Let m(f) = 0. Calculate f.
-10, 2
Suppose 19 = 25*l - 131. Let y(t) = 2*t**3 - 28*t**2 + 38*t + 6. Let g(x) = -x**3 - x - 1. Let v(h) = l*g(h) + y(h). Factor v(w).
-4*w*(w - 1)*(w + 8)
Let x(y) = -2*y**2 - 22*y + 100. Let v be x(10). Let t be v/(-48)*6/8. Factor 0*o + 0 + 2/7*o**4 - 2/7*o**t + 4/7*o**3 + 0*o**2.
-2*o**3*(o - 2)*(o + 1)/7
Let k(g) be the third derivative of g**5/100 + 101*g**4/40 - 3*g**2 + 5*g. Determine q, given that k(q) = 0.
-101, 0
What is v in -288/7*v + 60*v**2 + 24/7*v**3 - 9/7*v**4 + 0 = 0?
-6, 0, 2/3, 8
Suppose -1 - 31 = -19*u + 6. Let b be 1/((-3)/27*-3). Find f such that -63/5*f**u - 18/5*f**4 - 27/5*f - 57/5*f**b - 3/5 = 0.
-1, -1/6
Let j(w) be the third derivative of 11/5*w**5 + 66*w**2 - 1/30*w**6 - 36*w**4 - 648*w**3 + 0 - w. Let j(x) = 0. Calculate x.
-3, 18
Let n(t) be the third derivative of -t**6/540 + 29*t**5/270 + 1546*t**2. Suppose n(k) = 0. Calculate k.
0, 29
Let y(z) = 7*z**3 - 588*z - 2747. Let c(i) = 22*i**3 - 1764*i - 8242. Let x(s) = 3*c(s) - 10*y(s). Solve x(h) = 0 for h.
-7, 14
Find t, given that 16/7*t**2 + 0*t + 1/7*t**4 + 0 + 10/7*t**3 = 0.
-8, -2, 0
Suppose 5*y + 8*j - 194 = 6*j, 108 = 3*y + 4*j. Let k = y - 16. Factor k - 69*t + 73*t + 5*t**3 - t**3 - 16*t**2.
4*(t - 3)*(t - 2)*(t + 1)
Let b be 159/(-2067) + 53/13. Let p be (-102)/(-136)*(48/26)/1. Determine m, given that -p*m**2 - 4/13 - 2/13*m**b - 10/13*m**3 - 14/13*m = 0.
-2, -1
Let q(u) = -21*u - 942. Let a be q(-45). Let c(k) be the first derivative of 0*k**a + 2/3*k**6 + 0*k + 0*k**5 - 2*k**4 + 2*k**2 - 7. What is d in c(d) = 0?
-1, 0, 1
Suppose 9*y + 2*m = 12*y - 44, -y = 4*m - 10. Find a such that -1 - y*a**2 + 98*a + 1 - 104*a - 8*a**3 = 0.
-1, -3/4, 0
Let y = -465 + 463. Let g be (((-21)/14)/(1/y))/5. Factor -g*p + 2/5*p**2 + 1/5.
(p - 1)*(2*p - 1)/5
Let g be ((56/(-3696))/(3/(-18)))/(4/11). Let 0 + 1/2*b**3 - 1/4*b**2 + 0*b - g*b**4 = 0. What is b?
0, 1
Suppose -4*b + 16 = -2*y + 3*y, -19 = -5*b - y. Suppose 3 - 7 = -4*w - 4*k, 5*k + 11 = b*w. Factor 2*j**4 + 6*j**3 + 4*j + 41 - 2*j**5 - 19 - 22 - 10*j**w.
-2*j*(j - 1)**3*(j + 2)
Let d(z) be the second derivative of 4*z**7/21 + 71*z**6/15 - 189*z**5/20 + 5*z**4/3 + 19*z**3/6 - 30*z + 20. What is o in d(o) = 0?
-19, -1/4, 0, 1/2, 1
Let j(r) be the third derivative of 1/30*r**4 + 0*r - 4*r**2 + 8/15*r**3 - 1/150*r**6 - 4/75*r**5 + 0. Suppose j(w) = 0. What is w?
-4, -1, 1
Let r(c) be the first derivative of 1/13*c**2 - 4/39*c**3 + 0*c - 53 + 1/26*c**4. What is k in r(k) = 0?
0, 1
Let u = 31 + -29. Suppose 11 = 3*d - q, -2*d - u*q - 18 = -12. What is c in 6/7*c**d - 6/7*c + 2/7 - 2/7*c**3 = 0?
1
Let d be (5/35*-9 + 1)/(36/(-21)). Let y(w) be the third derivative of -d*w**4 + 0*w + 0 + 0*w**3 - 18*w**2 + 1/60*w**6 - 1/30*w**5. Factor y(b).
2*b*(b - 2)*(b + 1)
Suppose -3*i = 3*u + 21, -340 = -4*i + 2*u - 314. Factor 0 + 3/2*g**4 - 3*g**3 - 1/4*g**5 + 0*g + i*g**2.
-g**2*(g - 2)**3/4
Suppose -5*k + k - j + 50 = 0, 0 = 4*k + 4*j - 44. Let y be k/91*7/3. Determine t so that -7/3*t + 0 - y*t**2 = 0.
-7, 0
Let r(f) be the first derivative of 0*f - 83 - 8/7*f**4 + 2/5*f**5 + 0*f**2 + 8/7*f**3 - 1/21*f**6. Factor r(k).
-2*k**2*(k - 3)*(k - 2)**2/7
Let x(w) be the third derivative of w**7/1680 + w**6/160 + w**5/96 - w**4/16 - w**2 + 363*w. Suppose x(k) = 0. Calculate k.
-4, -3, 0, 1
Let u(n) be the first derivative of -n**6/20 + 9*n**5/40 - 3*n**4/8 + n**3/4 - 77*n - 20. Let o(d) be the first derivative of u(d). Factor o(l).
-3*l*(l - 1)**3/2
Let o(t) be the third derivative of t**5/75 + 401*t**4/15 + 321602*t**3/15 + 4111*t**2. Solve o(f) = 0 for f.
-401
Determine v so that -328*v - 1/6*v**2 - 161376 = 0.
-984
Let d(f) be the second derivative of -f**5/30 - 3*f**4/2 - 50*f**3/9 - 3827*f. Factor d(n).
-2*n*(n + 2)*(n + 25)/3
Let p = 6801 - 6799. Factor -11/8*s**p - 1/8*s**3 - 4*s - 7/2.
-(s + 2)**2*(s + 7)/8
Suppose 5*t - 4*a - 43 = 0, 5*a = -t + 45 - 19. Let v be (-38)/(-8) + 1/4. Suppose -8*r**v - 8*r**5 - 10*r**4 + t*r**5 = 0. What is r?
-2, 0
Let d(g) be the first derivative of -47*g**5/10 - g**4/4 + 47*g**3/6 + g**2/2 + 2535. Let d(s) = 0. What is s?
-1, -2/47, 0, 1
Let j(l) be the third derivative of -l**6/420 + 11*l**5/105 + 109*l**4/84 - 130*l**3/21 - 1161*l**2. Determine f, given that j(f) = 0.
-5, 1, 26
Let l(x) be the third derivative of x**5/60 + x**4/4 + 4*x**3/3 + 14*x**2 - 4. Factor l(v).
(v + 2)*(v + 4)
Find l such that -3/4*l**2 - 435483/4 - 1143/2*l = 0.
-381
Let a = 254 - 162. Let t = a + -274/3. Factor -t*s**3 + 4/3*s**2 + 0 - 2/3*s.
-2*s*(s - 1)**2/3
Let s = -1560 + 35873/23. Let f = s + 109/207. Find m such that f*m**5 - 8/9*m**3 + 8/9*m**2 + 0 + 0*m - 2/9*m**4 = 0.
-2, 0, 1, 2
Let b(p) be the first derivative of -p**4/4 + 67*p**3/3 + 105*p**2 + 4297. Factor b(m).
-m*(m - 70)*(m + 3)
Let k(n) = -n**3 + 70*n**2 - 43*n - 87. Let q(g) = -4*g**3 + 289*g**2 - 173*g - 349. Let w(b) = 26*k(b) - 6*q(b). Factor w(u).
-2*(u - 42)*(u - 2)*(u + 1)
Let r(t) = 2*t**4 + 34*t**3 - 81*t**2 - 10. Let z(d) = 2*d**4 + 34*d**3 - 82*d**2 - 12. Let p = 36 - 41. Let n(x) = p*z(x) + 6*r(x). Factor n(y).
2*y**2*(y - 2)*(y + 19)
Let g(i) be the first derivative of -2*i**6/27 - 10*i**5/9 - 7*i**4/18 + 122*i**3/27 + i**2 - 8*i + 4600. Solve g(b) = 0 for b.
-12, -3/2, -1, 1
Suppose -101 + 101 = -13*x. Let k(b) be the second derivative of 1/3*b**4 + x*b**3 - 8*b**2 + 0 - 2*b. Factor k(a).
4*(a - 2)*(a + 2)
Let p = -9280 + 278401/30. Let z(v) be the third derivative of 23*v**2 + 0*v + 0*v**3 + 1/3*v**4 + 0 - p*v**5. Find u, given that z(u) = 0.
0, 4
Let c = 18485/42952 + -11/6136. Solve -c*s**2 + 15/7*s - 12/7 = 0.
1, 4
Let s be -18 - -16 - (4 + 109/(-18)). Let c(g) be the first derivative of -1/24*g**4 + 1/6*g - 10 + 1/12*g**2 - s*g**3. Find l, given that c(l) = 0.
-1, 1
Suppose 6*k + 6037 = 6181. Let b be (-30)/(-144) - (-3)/k. Factor -1/3*s**3 - 1/3 + b*s + 1/3*s**2.
-(s - 1)**2*(s + 1)/3
Let q(j) = 15*j**2 + 48*j + 190. Let m(p) = 2*p**2 - p - 2. Let r